TSTP Solution File: SWV039+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWV039+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:43:16 EDT 2023

% Result   : Theorem 18.60s 2.99s
% Output   : CNFRefutation 18.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  288 (  65 unt;   0 def)
%            Number of atoms       : 2000 ( 619 equ)
%            Maximal formula atoms :  585 (   6 avg)
%            Number of connectives : 2837 (1125   ~;1489   |; 178   &)
%                                         (   3 <=>;  42  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   58 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :   31 (  31 usr;  25 con; 0-3 aty)
%            Number of variables   :  147 (   0 sgn;  83   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(gauss_init_0069,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 )
      & ( gt(loopcounter,n1)
       => ( pvar1400_init = init
          & pvar1401_init = init
          & pvar1402_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)
      & ! [X21] :
          ( ( leq(n0,X21)
            & leq(X21,n2) )
         => ! [X22] :
              ( ( leq(n0,X22)
                & leq(X22,n3) )
             => a_select3(simplex7_init,X22,X21) = init ) )
      & ! [X28] :
          ( ( leq(n0,X28)
            & leq(X28,n3) )
         => a_select2(s_values7_init,X28) = init )
      & ! [X29] :
          ( ( leq(n0,X29)
            & leq(X29,n2) )
         => a_select2(s_center7_init,X29) = init )
      & ! [X5] :
          ( ( leq(n0,X5)
            & leq(X5,minus(n0,n1)) )
         => a_select2(s_try7_init,X5) = init )
      & ( gt(loopcounter,n1)
       => ( pvar1400_init = init
          & pvar1401_init = init
          & pvar1402_init = init ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Lql8V1oYyU/E---3.1_17356.p',gauss_init_0069) ).

fof(irreflexivity_gt,axiom,
    ! [X1] : ~ gt(X1,X1),
    file('/export/starexec/sandbox/tmp/tmp.Lql8V1oYyU/E---3.1_17356.p',irreflexivity_gt) ).

fof(leq_succ_gt,axiom,
    ! [X1,X2] :
      ( leq(succ(X1),X2)
     => gt(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.Lql8V1oYyU/E---3.1_17356.p',leq_succ_gt) ).

fof(succ_plus_1_r,axiom,
    ! [X1] : plus(X1,n1) = succ(X1),
    file('/export/starexec/sandbox/tmp/tmp.Lql8V1oYyU/E---3.1_17356.p',succ_plus_1_r) ).

fof(succ_plus_2_r,axiom,
    ! [X1] : plus(X1,n2) = succ(succ(X1)),
    file('/export/starexec/sandbox/tmp/tmp.Lql8V1oYyU/E---3.1_17356.p',succ_plus_2_r) ).

fof(succ_plus_1_l,axiom,
    ! [X1] : plus(n1,X1) = succ(X1),
    file('/export/starexec/sandbox/tmp/tmp.Lql8V1oYyU/E---3.1_17356.p',succ_plus_1_l) ).

fof(leq_succ,axiom,
    ! [X1,X2] :
      ( leq(X1,X2)
     => leq(X1,succ(X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.Lql8V1oYyU/E---3.1_17356.p',leq_succ) ).

fof(succ_plus_2_l,axiom,
    ! [X1] : plus(n2,X1) = succ(succ(X1)),
    file('/export/starexec/sandbox/tmp/tmp.Lql8V1oYyU/E---3.1_17356.p',succ_plus_2_l) ).

fof(pred_succ,axiom,
    ! [X1] : pred(succ(X1)) = X1,
    file('/export/starexec/sandbox/tmp/tmp.Lql8V1oYyU/E---3.1_17356.p',pred_succ) ).

fof(pred_minus_1,axiom,
    ! [X1] : minus(X1,n1) = pred(X1),
    file('/export/starexec/sandbox/tmp/tmp.Lql8V1oYyU/E---3.1_17356.p',pred_minus_1) ).

fof(leq_gt_pred,axiom,
    ! [X1,X2] :
      ( leq(X1,pred(X2))
    <=> gt(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.Lql8V1oYyU/E---3.1_17356.p',leq_gt_pred) ).

fof(succ_tptp_minus_1,axiom,
    succ(tptp_minus_1) = n0,
    file('/export/starexec/sandbox/tmp/tmp.Lql8V1oYyU/E---3.1_17356.p',succ_tptp_minus_1) ).

fof(leq_gt1,axiom,
    ! [X1,X2] :
      ( gt(X2,X1)
     => leq(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.Lql8V1oYyU/E---3.1_17356.p',leq_gt1) ).

fof(totality,axiom,
    ! [X1,X2] :
      ( gt(X1,X2)
      | gt(X2,X1)
      | X1 = X2 ),
    file('/export/starexec/sandbox/tmp/tmp.Lql8V1oYyU/E---3.1_17356.p',totality) ).

fof(transitivity_leq,axiom,
    ! [X1,X2,X3] :
      ( ( leq(X1,X2)
        & leq(X2,X3) )
     => leq(X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.Lql8V1oYyU/E---3.1_17356.p',transitivity_leq) ).

fof(successor_1,axiom,
    succ(n0) = n1,
    file('/export/starexec/sandbox/tmp/tmp.Lql8V1oYyU/E---3.1_17356.p',successor_1) ).

fof(finite_domain_0,axiom,
    ! [X1] :
      ( ( leq(n0,X1)
        & leq(X1,n0) )
     => X1 = n0 ),
    file('/export/starexec/sandbox/tmp/tmp.Lql8V1oYyU/E---3.1_17356.p',finite_domain_0) ).

fof(transitivity_gt,axiom,
    ! [X1,X2,X3] :
      ( ( gt(X1,X2)
        & gt(X2,X3) )
     => gt(X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.Lql8V1oYyU/E---3.1_17356.p',transitivity_gt) ).

fof(finite_domain_1,axiom,
    ! [X1] :
      ( ( leq(n0,X1)
        & leq(X1,n1) )
     => ( X1 = n0
        | X1 = n1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.Lql8V1oYyU/E---3.1_17356.p',finite_domain_1) ).

fof(gt_0_tptp_minus_1,axiom,
    gt(n0,tptp_minus_1),
    file('/export/starexec/sandbox/tmp/tmp.Lql8V1oYyU/E---3.1_17356.p',gt_0_tptp_minus_1) ).

fof(reflexivity_leq,axiom,
    ! [X1] : leq(X1,X1),
    file('/export/starexec/sandbox/tmp/tmp.Lql8V1oYyU/E---3.1_17356.p',reflexivity_leq) ).

fof(c_0_21,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 )
      & ( gt(loopcounter,n1)
       => ( pvar1400_init = init
          & pvar1401_init = init
          & pvar1402_init = init ) ) ) ),
    introduced(definition) ).

fof(c_0_22,plain,
    ( epred3_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)
      & ! [X21] :
          ( ( leq(n0,X21)
            & leq(X21,n2) )
         => ! [X22] :
              ( ( leq(n0,X22)
                & leq(X22,n3) )
             => a_select3(simplex7_init,X22,X21) = init ) )
      & ! [X28] :
          ( ( leq(n0,X28)
            & leq(X28,n3) )
         => a_select2(s_values7_init,X28) = init )
      & ! [X29] :
          ( ( leq(n0,X29)
            & leq(X29,n2) )
         => a_select2(s_center7_init,X29) = init ) ) ),
    introduced(definition) ).

fof(c_0_23,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 )
      & ( gt(loopcounter,n1)
       => ( pvar1400_init = init
          & pvar1401_init = init
          & pvar1402_init = init ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_21]) ).

fof(c_0_24,negated_conjecture,
    ~ ( epred2_0
     => ( epred3_0
        & ! [X5] :
            ( ( leq(n0,X5)
              & leq(X5,minus(n0,n1)) )
           => a_select2(s_try7_init,X5) = init )
        & ( gt(loopcounter,n1)
         => ( pvar1400_init = init
            & pvar1401_init = init
            & pvar1402_init = init ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[gauss_init_0069]),c_0_21]),c_0_22]) ).

fof(c_0_25,plain,
    ( ( 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)
      & ! [X21] :
          ( ( leq(n0,X21)
            & leq(X21,n2) )
         => ! [X22] :
              ( ( leq(n0,X22)
                & leq(X22,n3) )
             => a_select3(simplex7_init,X22,X21) = init ) )
      & ! [X28] :
          ( ( leq(n0,X28)
            & leq(X28,n3) )
         => a_select2(s_values7_init,X28) = init )
      & ! [X29] :
          ( ( leq(n0,X29)
            & leq(X29,n2) )
         => a_select2(s_center7_init,X29) = init ) )
   => epred3_0 ),
    inference(split_equiv,[status(thm)],[c_0_22]) ).

fof(c_0_26,plain,
    ! [X203,X204,X205,X206] :
      ( ( 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,X203)
        | ~ leq(X203,n2)
        | ~ leq(n0,X204)
        | ~ leq(X204,n3)
        | a_select3(simplex7_init,X204,X203) = init
        | ~ epred2_0 )
      & ( ~ leq(n0,X205)
        | ~ leq(X205,n3)
        | a_select2(s_values7_init,X205) = init
        | ~ epred2_0 )
      & ( ~ leq(n0,X206)
        | ~ leq(X206,n2)
        | a_select2(s_center7_init,X206) = 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_23])])])]) ).

fof(c_0_27,negated_conjecture,
    ( epred2_0
    & ( gt(loopcounter,n1)
      | leq(n0,esk24_0)
      | ~ epred3_0 )
    & ( pvar1400_init != init
      | pvar1401_init != init
      | pvar1402_init != init
      | leq(n0,esk24_0)
      | ~ epred3_0 )
    & ( gt(loopcounter,n1)
      | leq(esk24_0,minus(n0,n1))
      | ~ epred3_0 )
    & ( pvar1400_init != init
      | pvar1401_init != init
      | pvar1402_init != init
      | leq(esk24_0,minus(n0,n1))
      | ~ epred3_0 )
    & ( gt(loopcounter,n1)
      | a_select2(s_try7_init,esk24_0) != init
      | ~ epred3_0 )
    & ( pvar1400_init != init
      | pvar1401_init != init
      | pvar1402_init != init
      | a_select2(s_try7_init,esk24_0) != init
      | ~ epred3_0 ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).

fof(c_0_28,plain,
    ( ( leq(n0,esk32_0)
      | leq(n0,esk31_0)
      | leq(n0,esk29_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)
      | epred3_0 )
    & ( leq(esk32_0,n2)
      | leq(n0,esk31_0)
      | leq(n0,esk29_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)
      | epred3_0 )
    & ( a_select2(s_center7_init,esk32_0) != init
      | leq(n0,esk31_0)
      | leq(n0,esk29_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)
      | epred3_0 )
    & ( leq(n0,esk32_0)
      | leq(esk31_0,n3)
      | leq(n0,esk29_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)
      | epred3_0 )
    & ( leq(esk32_0,n2)
      | leq(esk31_0,n3)
      | leq(n0,esk29_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)
      | epred3_0 )
    & ( a_select2(s_center7_init,esk32_0) != init
      | leq(esk31_0,n3)
      | leq(n0,esk29_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)
      | epred3_0 )
    & ( leq(n0,esk32_0)
      | a_select2(s_values7_init,esk31_0) != init
      | leq(n0,esk29_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)
      | epred3_0 )
    & ( leq(esk32_0,n2)
      | a_select2(s_values7_init,esk31_0) != init
      | leq(n0,esk29_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)
      | epred3_0 )
    & ( a_select2(s_center7_init,esk32_0) != init
      | a_select2(s_values7_init,esk31_0) != init
      | leq(n0,esk29_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)
      | epred3_0 )
    & ( leq(n0,esk32_0)
      | leq(n0,esk31_0)
      | leq(esk29_0,n2)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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)
      | 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
      | 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
      | 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
      | 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
      | 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
      | 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
      | 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
      | 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
      | 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
      | 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_25])])])]) ).

cnf(c_0_29,plain,
    ( s_best7_init = init
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_30,negated_conjecture,
    epred2_0,
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_31,plain,
    ( s_sworst7_init = init
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_32,plain,
    ( s_worst7_init = init
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_33,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
    | 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_28]) ).

cnf(c_0_34,plain,
    s_best7_init = init,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).

cnf(c_0_35,plain,
    s_sworst7_init = init,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_30])]) ).

cnf(c_0_36,plain,
    s_worst7_init = init,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_30])]) ).

cnf(c_0_37,plain,
    ( leq(n0,s_best7)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_38,plain,
    ( leq(n0,s_sworst7)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_39,plain,
    ( leq(n0,s_worst7)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_40,plain,
    ( leq(s_best7,n3)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_41,plain,
    ( leq(s_sworst7,n3)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_42,plain,
    ( leq(s_worst7,n3)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_43,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_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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36])]) ).

cnf(c_0_44,plain,
    leq(n0,s_best7),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_30])]) ).

cnf(c_0_45,plain,
    leq(n0,s_sworst7),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_30])]) ).

cnf(c_0_46,plain,
    leq(n0,s_worst7),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_30])]) ).

cnf(c_0_47,plain,
    leq(s_best7,n3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_30])]) ).

cnf(c_0_48,plain,
    leq(s_sworst7,n3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_30])]) ).

cnf(c_0_49,plain,
    leq(s_worst7,n3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_30])]) ).

cnf(c_0_50,plain,
    ( a_select2(s_center7_init,X1) = init
    | ~ leq(n0,X1)
    | ~ leq(X1,n2)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_51,plain,
    ( leq(n0,esk32_0)
    | epred3_0
    | a_select2(s_values7_init,esk31_0) != init
    | a_select3(simplex7_init,esk30_0,esk29_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_52,plain,
    ( leq(esk32_0,n2)
    | epred3_0
    | a_select2(s_values7_init,esk31_0) != init
    | a_select3(simplex7_init,esk30_0,esk29_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_53,plain,
    ( leq(n0,esk31_0)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != init
    | a_select3(simplex7_init,esk30_0,esk29_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_54,plain,
    ( leq(n0,esk32_0)
    | leq(n0,esk31_0)
    | epred3_0
    | a_select3(simplex7_init,esk30_0,esk29_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_55,plain,
    ( leq(esk32_0,n2)
    | leq(n0,esk31_0)
    | epred3_0
    | a_select3(simplex7_init,esk30_0,esk29_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_56,plain,
    ( leq(esk31_0,n3)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != init
    | a_select3(simplex7_init,esk30_0,esk29_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_57,plain,
    ( leq(n0,esk32_0)
    | leq(esk31_0,n3)
    | epred3_0
    | a_select3(simplex7_init,esk30_0,esk29_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_58,plain,
    ( leq(esk32_0,n2)
    | leq(esk31_0,n3)
    | epred3_0
    | a_select3(simplex7_init,esk30_0,esk29_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_59,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44])]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_60,plain,
    ( a_select2(s_center7_init,X1) = init
    | ~ leq(X1,n2)
    | ~ leq(n0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_30])]) ).

cnf(c_0_61,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_51,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_62,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_52,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_63,plain,
    ( a_select2(s_values7_init,X1) = init
    | ~ leq(n0,X1)
    | ~ leq(X1,n3)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_64,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_53,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_65,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_54,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_66,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_55,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_67,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_56,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_68,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_57,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_69,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_58,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_70,plain,
    ( leq(esk30_0,n3)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != init
    | a_select2(s_values7_init,esk31_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_71,plain,
    ( leq(n0,esk31_0)
    | leq(esk30_0,n3)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_72,plain,
    ( leq(esk31_0,n3)
    | leq(esk30_0,n3)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_73,plain,
    ( leq(n0,esk32_0)
    | leq(esk30_0,n3)
    | epred3_0
    | a_select2(s_values7_init,esk31_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_74,plain,
    ( leq(n0,esk32_0)
    | leq(n0,esk31_0)
    | leq(esk30_0,n3)
    | epred3_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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_75,plain,
    ( leq(n0,esk32_0)
    | leq(esk31_0,n3)
    | leq(esk30_0,n3)
    | epred3_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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_76,plain,
    ( leq(esk32_0,n2)
    | leq(esk30_0,n3)
    | epred3_0
    | a_select2(s_values7_init,esk31_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_77,plain,
    ( leq(esk32_0,n2)
    | leq(n0,esk31_0)
    | leq(esk30_0,n3)
    | epred3_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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_78,plain,
    ( leq(esk32_0,n2)
    | leq(esk31_0,n3)
    | leq(esk30_0,n3)
    | epred3_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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_79,plain,
    ( leq(esk29_0,n2)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != init
    | a_select2(s_values7_init,esk31_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_80,plain,
    ( leq(n0,esk31_0)
    | leq(esk29_0,n2)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_81,plain,
    ( leq(esk31_0,n3)
    | leq(esk29_0,n2)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_82,plain,
    ( leq(n0,esk32_0)
    | leq(esk29_0,n2)
    | epred3_0
    | a_select2(s_values7_init,esk31_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_83,plain,
    ( leq(n0,esk32_0)
    | leq(n0,esk31_0)
    | leq(esk29_0,n2)
    | epred3_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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_84,plain,
    ( leq(n0,esk32_0)
    | leq(esk31_0,n3)
    | leq(esk29_0,n2)
    | epred3_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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_85,plain,
    ( leq(esk32_0,n2)
    | leq(esk29_0,n2)
    | epred3_0
    | a_select2(s_values7_init,esk31_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_86,plain,
    ( leq(esk32_0,n2)
    | leq(n0,esk31_0)
    | leq(esk29_0,n2)
    | epred3_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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_87,plain,
    ( leq(esk32_0,n2)
    | leq(esk31_0,n3)
    | leq(esk29_0,n2)
    | epred3_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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_88,plain,
    ( epred3_0
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | a_select2(s_values7_init,esk31_0) != init ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_62]) ).

cnf(c_0_89,plain,
    ( a_select2(s_values7_init,X1) = init
    | ~ leq(X1,n3)
    | ~ leq(n0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_30])]) ).

cnf(c_0_90,plain,
    ( epred3_0
    | leq(n0,esk31_0)
    | a_select3(simplex7_init,esk30_0,esk29_0) != init ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_60]),c_0_65]),c_0_66]) ).

cnf(c_0_91,plain,
    ( epred3_0
    | leq(esk31_0,n3)
    | a_select3(simplex7_init,esk30_0,esk29_0) != init ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_60]),c_0_68]),c_0_69]) ).

cnf(c_0_92,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_26]) ).

cnf(c_0_93,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_70,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_94,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_71,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_95,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_72,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_96,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_73,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_97,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_74,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_98,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_75,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_99,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_76,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_100,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_77,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_101,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_78,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_102,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_79,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_103,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_80,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_104,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_81,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_105,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_82,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_106,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_83,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_107,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_84,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_108,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_85,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_109,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_86,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_110,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_87,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_111,plain,
    ( leq(n0,esk32_0)
    | leq(n0,esk29_0)
    | epred3_0
    | a_select2(s_values7_init,esk31_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_112,plain,
    ( leq(n0,esk32_0)
    | leq(n0,esk31_0)
    | leq(n0,esk29_0)
    | epred3_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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_113,plain,
    ( leq(n0,esk32_0)
    | leq(esk31_0,n3)
    | leq(n0,esk29_0)
    | epred3_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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_114,plain,
    ( leq(n0,esk31_0)
    | leq(n0,esk30_0)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_115,plain,
    ( leq(n0,esk32_0)
    | leq(n0,esk31_0)
    | leq(n0,esk30_0)
    | epred3_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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_116,plain,
    ( leq(esk32_0,n2)
    | leq(n0,esk31_0)
    | leq(n0,esk30_0)
    | epred3_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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_117,plain,
    ( epred3_0
    | a_select3(simplex7_init,esk30_0,esk29_0) != init ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]),c_0_91]) ).

cnf(c_0_118,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_92,c_0_30])]) ).

cnf(c_0_119,plain,
    ( epred3_0
    | leq(esk30_0,n3)
    | a_select2(s_center7_init,esk32_0) != init ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_89]),c_0_94]),c_0_95]) ).

cnf(c_0_120,plain,
    ( epred3_0
    | leq(n0,esk32_0)
    | leq(esk30_0,n3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_89]),c_0_97]),c_0_98]) ).

cnf(c_0_121,plain,
    ( epred3_0
    | leq(esk30_0,n3)
    | leq(esk32_0,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_89]),c_0_100]),c_0_101]) ).

cnf(c_0_122,plain,
    ( epred3_0
    | leq(esk29_0,n2)
    | a_select2(s_center7_init,esk32_0) != init ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_89]),c_0_103]),c_0_104]) ).

cnf(c_0_123,plain,
    ( epred3_0
    | leq(n0,esk32_0)
    | leq(esk29_0,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_89]),c_0_106]),c_0_107]) ).

cnf(c_0_124,plain,
    ( epred3_0
    | leq(esk29_0,n2)
    | leq(esk32_0,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_89]),c_0_109]),c_0_110]) ).

cnf(c_0_125,plain,
    ( leq(n0,esk31_0)
    | leq(n0,esk29_0)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_126,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_111,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_127,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_112,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_128,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_113,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_129,plain,
    ( leq(esk32_0,n2)
    | leq(n0,esk31_0)
    | leq(n0,esk29_0)
    | epred3_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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_130,plain,
    ( leq(n0,esk32_0)
    | leq(n0,esk30_0)
    | epred3_0
    | a_select2(s_values7_init,esk31_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_131,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_114,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_132,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_115,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_133,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_116,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_134,plain,
    ( leq(n0,esk32_0)
    | leq(esk31_0,n3)
    | leq(n0,esk30_0)
    | epred3_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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_135,plain,
    ( leq(n0,esk30_0)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != init
    | a_select2(s_values7_init,esk31_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_136,plain,
    ( epred3_0
    | ~ leq(esk30_0,n3)
    | ~ leq(esk29_0,n2)
    | ~ leq(n0,esk30_0)
    | ~ leq(n0,esk29_0) ),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_137,plain,
    ( epred3_0
    | leq(esk30_0,n3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_60]),c_0_120]),c_0_121]) ).

cnf(c_0_138,plain,
    ( epred3_0
    | leq(esk29_0,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_60]),c_0_123]),c_0_124]) ).

cnf(c_0_139,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_125,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_140,plain,
    ( epred3_0
    | leq(n0,esk29_0)
    | leq(n0,esk32_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_89]),c_0_127]),c_0_128]) ).

cnf(c_0_141,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_129,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_142,plain,
    ( leq(esk31_0,n3)
    | leq(n0,esk30_0)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_143,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_130,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_144,plain,
    ( epred3_0
    | leq(n0,esk30_0)
    | leq(n0,esk31_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_60]),c_0_132]),c_0_133]) ).

cnf(c_0_145,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_134,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_146,plain,
    ( leq(esk32_0,n2)
    | leq(esk31_0,n3)
    | leq(n0,esk30_0)
    | epred3_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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_147,plain,
    ( epred3_0
    | leq(n0,esk30_0)
    | a_select2(s_values7_init,esk31_0) != init
    | a_select2(s_center7_init,esk32_0) != init
    | ~ 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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47])]) ).

cnf(c_0_148,plain,
    ( epred3_0
    | ~ leq(n0,esk30_0)
    | ~ leq(n0,esk29_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).

cnf(c_0_149,plain,
    ( epred3_0
    | leq(n0,esk29_0)
    | leq(n0,esk31_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_60]),c_0_140]),c_0_141]) ).

cnf(c_0_150,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_142,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_151,plain,
    ( epred3_0
    | leq(n0,esk30_0)
    | leq(n0,esk32_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_89]),c_0_144]),c_0_145]) ).

cnf(c_0_152,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_146,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_153,plain,
    ( leq(esk32_0,n2)
    | leq(n0,esk30_0)
    | epred3_0
    | a_select2(s_values7_init,esk31_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

fof(c_0_154,plain,
    ! [X1] : ~ gt(X1,X1),
    inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).

fof(c_0_155,plain,
    ! [X152,X153] :
      ( ~ leq(succ(X152),X153)
      | gt(X153,X152) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt])]) ).

fof(c_0_156,plain,
    ! [X137] : plus(X137,n1) = succ(X137),
    inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).

fof(c_0_157,plain,
    ! [X139] : plus(X139,n2) = succ(succ(X139)),
    inference(variable_rename,[status(thm)],[succ_plus_2_r]) ).

fof(c_0_158,plain,
    ! [X138] : plus(n1,X138) = succ(X138),
    inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).

cnf(c_0_159,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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_48])]),c_0_49])]) ).

cnf(c_0_160,plain,
    ( epred3_0
    | leq(n0,esk31_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_144]),c_0_149]) ).

cnf(c_0_161,plain,
    ( epred3_0
    | leq(n0,esk30_0)
    | leq(esk31_0,n3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_60]),c_0_151]),c_0_152]) ).

cnf(c_0_162,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_153,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

fof(c_0_163,plain,
    ! [X35] : ~ gt(X35,X35),
    inference(variable_rename,[status(thm)],[c_0_154]) ).

cnf(c_0_164,plain,
    ( gt(X2,X1)
    | ~ leq(succ(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_155]) ).

cnf(c_0_165,plain,
    plus(X1,n1) = succ(X1),
    inference(split_conjunct,[status(thm)],[c_0_156]) ).

fof(c_0_166,plain,
    ! [X51,X52] :
      ( ~ leq(X51,X52)
      | leq(X51,succ(X52)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ])]) ).

cnf(c_0_167,plain,
    plus(X1,n2) = succ(succ(X1)),
    inference(split_conjunct,[status(thm)],[c_0_157]) ).

cnf(c_0_168,plain,
    plus(n1,X1) = succ(X1),
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

fof(c_0_169,plain,
    ! [X140] : plus(n2,X140) = succ(succ(X140)),
    inference(variable_rename,[status(thm)],[succ_plus_2_l]) ).

fof(c_0_170,plain,
    ! [X148] : pred(succ(X148)) = X148,
    inference(variable_rename,[status(thm)],[pred_succ]) ).

fof(c_0_171,plain,
    ! [X147] : minus(X147,n1) = pred(X147),
    inference(variable_rename,[status(thm)],[pred_minus_1]) ).

cnf(c_0_172,plain,
    ( leq(n0,esk29_0)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != init
    | a_select2(s_values7_init,esk31_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_173,plain,
    ( leq(esk31_0,n3)
    | leq(n0,esk29_0)
    | epred3_0
    | a_select2(s_center7_init,esk32_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_174,plain,
    ( leq(esk32_0,n2)
    | leq(esk31_0,n3)
    | leq(n0,esk29_0)
    | epred3_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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_175,plain,
    ( epred3_0
    | leq(n0,esk30_0)
    | a_select2(s_center7_init,esk32_0) != init ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_89]),c_0_160]),c_0_161]) ).

cnf(c_0_176,plain,
    ( epred3_0
    | leq(n0,esk32_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_151]),c_0_140]) ).

cnf(c_0_177,plain,
    ( epred3_0
    | leq(n0,esk30_0)
    | leq(esk32_0,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_89]),c_0_144]),c_0_161]) ).

cnf(c_0_178,plain,
    ~ gt(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

cnf(c_0_179,plain,
    ( gt(X2,X1)
    | ~ leq(plus(X1,n1),X2) ),
    inference(rw,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_180,plain,
    ( leq(X1,succ(X2))
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_166]) ).

cnf(c_0_181,plain,
    plus(X1,n2) = plus(plus(X1,n1),n1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_165]),c_0_165]) ).

cnf(c_0_182,plain,
    plus(n1,X1) = plus(X1,n1),
    inference(rw,[status(thm)],[c_0_168,c_0_165]) ).

fof(c_0_183,plain,
    ! [X48,X49] :
      ( ( ~ leq(X48,pred(X49))
        | gt(X49,X48) )
      & ( ~ gt(X49,X48)
        | leq(X48,pred(X49)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt_pred])]) ).

cnf(c_0_184,plain,
    plus(n2,X1) = succ(succ(X1)),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_185,plain,
    pred(succ(X1)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_170]) ).

cnf(c_0_186,plain,
    minus(X1,n1) = pred(X1),
    inference(split_conjunct,[status(thm)],[c_0_171]) ).

cnf(c_0_187,plain,
    succ(tptp_minus_1) = n0,
    inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).

cnf(c_0_188,plain,
    ( epred3_0
    | leq(n0,esk29_0)
    | a_select2(s_values7_init,esk31_0) != init
    | a_select2(s_center7_init,esk32_0) != init
    | ~ leq(n0,s_sworst7)
    | ~ 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)],[c_0_172,c_0_34]),c_0_35]),c_0_36]),c_0_44])]) ).

cnf(c_0_189,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_173,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_190,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_174,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_191,plain,
    ( epred3_0
    | leq(n0,esk30_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_60]),c_0_176]),c_0_177]) ).

cnf(c_0_192,plain,
    ~ leq(plus(X1,n1),X1),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_193,plain,
    ( leq(X1,plus(X2,n1))
    | ~ leq(X1,X2) ),
    inference(rw,[status(thm)],[c_0_180,c_0_165]) ).

cnf(c_0_194,plain,
    plus(n1,plus(X1,n1)) = plus(X1,n2),
    inference(rw,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_195,plain,
    ( leq(X2,pred(X1))
    | ~ gt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_183]) ).

cnf(c_0_196,plain,
    plus(n2,X1) = plus(plus(X1,n1),n1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_165]),c_0_165]) ).

fof(c_0_197,plain,
    ! [X44,X45] :
      ( ~ gt(X45,X44)
      | leq(X44,X45) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt1])]) ).

fof(c_0_198,plain,
    ! [X30,X31] :
      ( gt(X30,X31)
      | gt(X31,X30)
      | X30 = X31 ),
    inference(variable_rename,[status(thm)],[totality]) ).

cnf(c_0_199,plain,
    minus(plus(X1,n1),n1) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_165]),c_0_186]) ).

cnf(c_0_200,plain,
    plus(tptp_minus_1,n1) = n0,
    inference(rw,[status(thm)],[c_0_187,c_0_165]) ).

cnf(c_0_201,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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_45])]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_202,plain,
    ( epred3_0
    | leq(n0,esk29_0)
    | leq(esk31_0,n3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_60]),c_0_140]),c_0_190]) ).

cnf(c_0_203,plain,
    ( epred3_0
    | ~ leq(n0,esk29_0) ),
    inference(spm,[status(thm)],[c_0_148,c_0_191]) ).

cnf(c_0_204,plain,
    ( leq(esk32_0,n2)
    | leq(n0,esk29_0)
    | epred3_0
    | a_select2(s_values7_init,esk31_0) != 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) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_205,plain,
    ~ leq(plus(X1,n2),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_182]),c_0_194]) ).

cnf(c_0_206,plain,
    ( leq(X2,minus(X1,n1))
    | ~ gt(X1,X2) ),
    inference(rw,[status(thm)],[c_0_195,c_0_186]) ).

cnf(c_0_207,plain,
    plus(X1,n2) = plus(n2,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_182]),c_0_194]) ).

cnf(c_0_208,plain,
    ( leq(X2,X1)
    | ~ gt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_197]) ).

cnf(c_0_209,plain,
    ( gt(X1,X2)
    | gt(X2,X1)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_198]) ).

cnf(c_0_210,plain,
    minus(plus(n1,X1),n1) = X1,
    inference(spm,[status(thm)],[c_0_199,c_0_182]) ).

cnf(c_0_211,plain,
    plus(n1,tptp_minus_1) = n0,
    inference(rw,[status(thm)],[c_0_200,c_0_182]) ).

cnf(c_0_212,plain,
    ( epred3_0
    | a_select2(s_center7_init,esk32_0) != init ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_89]),c_0_160]),c_0_202]),c_0_203]) ).

cnf(c_0_213,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_204,c_0_34]),c_0_35]),c_0_36]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_214,plain,
    ( gt(X2,X1)
    | ~ leq(X1,pred(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_183]) ).

fof(c_0_215,plain,
    ! [X37,X38,X39] :
      ( ~ leq(X37,X38)
      | ~ leq(X38,X39)
      | leq(X37,X39) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])]) ).

cnf(c_0_216,plain,
    ~ gt(X1,plus(n2,minus(X1,n1))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207]) ).

cnf(c_0_217,plain,
    ( X1 = X2
    | leq(X1,X2)
    | gt(X1,X2) ),
    inference(spm,[status(thm)],[c_0_208,c_0_209]) ).

cnf(c_0_218,negated_conjecture,
    ( gt(loopcounter,n1)
    | leq(esk24_0,minus(n0,n1))
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_219,plain,
    minus(n0,n1) = tptp_minus_1,
    inference(spm,[status(thm)],[c_0_210,c_0_211]) ).

cnf(c_0_220,plain,
    ( epred3_0
    | ~ leq(esk32_0,n2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_60]),c_0_176]) ).

cnf(c_0_221,plain,
    ( epred3_0
    | leq(n0,esk29_0)
    | leq(esk32_0,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_89]),c_0_149]),c_0_202]) ).

cnf(c_0_222,plain,
    ( gt(X2,X1)
    | ~ leq(X1,minus(X2,n1)) ),
    inference(rw,[status(thm)],[c_0_214,c_0_186]) ).

cnf(c_0_223,negated_conjecture,
    ( leq(esk24_0,minus(n0,n1))
    | pvar1400_init != init
    | pvar1401_init != init
    | pvar1402_init != init
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_224,plain,
    ( leq(X1,X3)
    | ~ leq(X1,X2)
    | ~ leq(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_215]) ).

cnf(c_0_225,plain,
    ( plus(n2,minus(X1,n1)) = X1
    | leq(X1,plus(n2,minus(X1,n1))) ),
    inference(spm,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_226,plain,
    ( pvar1402_init = init
    | ~ gt(loopcounter,n1)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_227,negated_conjecture,
    ( leq(esk24_0,tptp_minus_1)
    | gt(loopcounter,n1)
    | ~ epred3_0 ),
    inference(rw,[status(thm)],[c_0_218,c_0_219]) ).

cnf(c_0_228,plain,
    epred3_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_203]) ).

cnf(c_0_229,plain,
    succ(n0) = n1,
    inference(split_conjunct,[status(thm)],[successor_1]) ).

cnf(c_0_230,plain,
    ( pvar1401_init = init
    | ~ gt(loopcounter,n1)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_231,plain,
    ( pvar1400_init = init
    | ~ gt(loopcounter,n1)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_232,plain,
    ! [X191] :
      ( ~ leq(n0,X191)
      | ~ leq(X191,n0)
      | X191 = n0 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_0])]) ).

cnf(c_0_233,negated_conjecture,
    ( gt(n0,esk24_0)
    | pvar1400_init != init
    | pvar1401_init != init
    | pvar1402_init != init
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_222,c_0_223]) ).

cnf(c_0_234,plain,
    ( plus(n2,minus(X1,n1)) = X1
    | leq(X2,plus(n2,minus(X1,n1)))
    | ~ leq(X2,X1) ),
    inference(spm,[status(thm)],[c_0_224,c_0_225]) ).

cnf(c_0_235,plain,
    ( pvar1402_init = init
    | ~ gt(loopcounter,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_30])]) ).

cnf(c_0_236,negated_conjecture,
    ( leq(esk24_0,tptp_minus_1)
    | gt(loopcounter,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_228])]) ).

cnf(c_0_237,plain,
    plus(n1,plus(n1,X1)) = plus(X1,n2),
    inference(spm,[status(thm)],[c_0_194,c_0_182]) ).

cnf(c_0_238,plain,
    plus(n0,n1) = n1,
    inference(rw,[status(thm)],[c_0_229,c_0_165]) ).

cnf(c_0_239,negated_conjecture,
    ( gt(loopcounter,n1)
    | leq(n0,esk24_0)
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_240,plain,
    ( pvar1401_init = init
    | ~ gt(loopcounter,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_30])]) ).

cnf(c_0_241,plain,
    ( pvar1400_init = init
    | ~ gt(loopcounter,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_30])]) ).

fof(c_0_242,plain,
    ! [X32,X33,X34] :
      ( ~ gt(X32,X33)
      | ~ gt(X33,X34)
      | gt(X32,X34) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_gt])]) ).

cnf(c_0_243,plain,
    ( X1 = n0
    | ~ leq(n0,X1)
    | ~ leq(X1,n0) ),
    inference(split_conjunct,[status(thm)],[c_0_232]) ).

cnf(c_0_244,negated_conjecture,
    ( leq(esk24_0,n0)
    | pvar1400_init != init
    | pvar1401_init != init
    | pvar1402_init != init
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_208,c_0_233]) ).

cnf(c_0_245,negated_conjecture,
    ( leq(n0,esk24_0)
    | pvar1400_init != init
    | pvar1401_init != init
    | pvar1402_init != init
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_246,plain,
    ! [X192] :
      ( ~ leq(n0,X192)
      | ~ leq(X192,n1)
      | X192 = n0
      | X192 = n1 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_1])]) ).

cnf(c_0_247,plain,
    ( plus(n2,X1) = plus(X1,n1)
    | leq(X2,plus(n2,X1))
    | ~ leq(X2,X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_193]),c_0_199]),c_0_199]) ).

cnf(c_0_248,plain,
    ( pvar1402_init = init
    | leq(esk24_0,tptp_minus_1) ),
    inference(spm,[status(thm)],[c_0_235,c_0_236]) ).

cnf(c_0_249,plain,
    plus(n2,tptp_minus_1) = n1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_211]),c_0_182]),c_0_238]),c_0_207]) ).

cnf(c_0_250,negated_conjecture,
    ( leq(n0,esk24_0)
    | gt(loopcounter,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_228])]) ).

cnf(c_0_251,plain,
    ( pvar1401_init = init
    | leq(esk24_0,tptp_minus_1) ),
    inference(spm,[status(thm)],[c_0_240,c_0_236]) ).

cnf(c_0_252,plain,
    ( pvar1400_init = init
    | leq(esk24_0,tptp_minus_1) ),
    inference(spm,[status(thm)],[c_0_241,c_0_236]) ).

cnf(c_0_253,plain,
    ( gt(X1,X3)
    | ~ gt(X1,X2)
    | ~ gt(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_242]) ).

cnf(c_0_254,plain,
    gt(n0,tptp_minus_1),
    inference(split_conjunct,[status(thm)],[gt_0_tptp_minus_1]) ).

cnf(c_0_255,negated_conjecture,
    ( esk24_0 = n0
    | pvar1400_init != init
    | pvar1401_init != init
    | pvar1402_init != init
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_245]) ).

cnf(c_0_256,plain,
    ( X1 = n0
    | X1 = n1
    | ~ leq(n0,X1)
    | ~ leq(X1,n1) ),
    inference(split_conjunct,[status(thm)],[c_0_246]) ).

cnf(c_0_257,plain,
    ( pvar1402_init = init
    | n1 = n0
    | leq(esk24_0,n1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_249]),c_0_182]),c_0_211]),c_0_249]) ).

cnf(c_0_258,plain,
    ( pvar1402_init = init
    | leq(n0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_235,c_0_250]) ).

cnf(c_0_259,plain,
    ( pvar1401_init = init
    | n1 = n0
    | leq(esk24_0,n1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_251]),c_0_249]),c_0_182]),c_0_211]),c_0_249]) ).

cnf(c_0_260,plain,
    ( pvar1401_init = init
    | leq(n0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_240,c_0_250]) ).

cnf(c_0_261,plain,
    ( pvar1400_init = init
    | n1 = n0
    | leq(esk24_0,n1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_252]),c_0_249]),c_0_182]),c_0_211]),c_0_249]) ).

cnf(c_0_262,plain,
    ( pvar1400_init = init
    | leq(n0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_241,c_0_250]) ).

cnf(c_0_263,plain,
    ( gt(X1,tptp_minus_1)
    | ~ gt(X1,n0) ),
    inference(spm,[status(thm)],[c_0_253,c_0_254]) ).

cnf(c_0_264,negated_conjecture,
    ( esk24_0 = n0
    | pvar1400_init != init
    | pvar1401_init != init
    | pvar1402_init != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_255,c_0_228])]) ).

cnf(c_0_265,plain,
    ( n1 = n0
    | pvar1402_init = init
    | esk24_0 = n0
    | esk24_0 = n1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_258]) ).

cnf(c_0_266,plain,
    ( n1 = n0
    | pvar1401_init = init
    | esk24_0 = n0
    | esk24_0 = n1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_259]),c_0_260]) ).

cnf(c_0_267,plain,
    ( n1 = n0
    | pvar1400_init = init
    | esk24_0 = n0
    | esk24_0 = n1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_261]),c_0_262]) ).

cnf(c_0_268,plain,
    ~ gt(tptp_minus_1,n0),
    inference(spm,[status(thm)],[c_0_178,c_0_263]) ).

cnf(c_0_269,negated_conjecture,
    ( esk24_0 = n1
    | n1 = n0
    | esk24_0 = n0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_266]),c_0_267]) ).

cnf(c_0_270,plain,
    ~ leq(n1,tptp_minus_1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_179]),c_0_238]) ).

cnf(c_0_271,plain,
    ( esk24_0 = n0
    | n1 = n0
    | pvar1402_init = init ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_269]),c_0_270]) ).

cnf(c_0_272,plain,
    ( esk24_0 = n0
    | n1 = n0
    | pvar1401_init = init ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_269]),c_0_270]) ).

cnf(c_0_273,plain,
    ( esk24_0 = n0
    | n1 = n0
    | pvar1400_init = init ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_269]),c_0_270]) ).

cnf(c_0_274,plain,
    ~ leq(plus(n1,X1),X1),
    inference(spm,[status(thm)],[c_0_192,c_0_182]) ).

cnf(c_0_275,negated_conjecture,
    ( leq(esk24_0,tptp_minus_1)
    | pvar1400_init != init
    | pvar1401_init != init
    | pvar1402_init != init
    | ~ epred3_0 ),
    inference(rw,[status(thm)],[c_0_223,c_0_219]) ).

cnf(c_0_276,negated_conjecture,
    ( n1 = n0
    | esk24_0 = n0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_271]),c_0_272]),c_0_273]) ).

cnf(c_0_277,plain,
    ~ leq(n0,tptp_minus_1),
    inference(spm,[status(thm)],[c_0_274,c_0_211]) ).

cnf(c_0_278,negated_conjecture,
    ( leq(esk24_0,tptp_minus_1)
    | pvar1400_init != init
    | pvar1401_init != init
    | pvar1402_init != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_228])]) ).

cnf(c_0_279,plain,
    ( n1 = n0
    | pvar1400_init = init ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_276]),c_0_277]) ).

cnf(c_0_280,negated_conjecture,
    ( n1 = n0
    | pvar1401_init != init
    | pvar1402_init != init ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_276]),c_0_277]),c_0_279]) ).

cnf(c_0_281,plain,
    ( n1 = n0
    | pvar1402_init = init ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_276]),c_0_277]) ).

cnf(c_0_282,plain,
    ( n1 = n0
    | pvar1401_init = init ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_276]),c_0_277]) ).

fof(c_0_283,plain,
    ! [X36] : leq(X36,X36),
    inference(variable_rename,[status(thm)],[reflexivity_leq]) ).

cnf(c_0_284,plain,
    ~ leq(n1,n0),
    inference(spm,[status(thm)],[c_0_192,c_0_238]) ).

cnf(c_0_285,negated_conjecture,
    n1 = n0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_282]) ).

cnf(c_0_286,plain,
    leq(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_283]) ).

cnf(c_0_287,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_284,c_0_285]),c_0_286])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV039+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Oct  3 03:20:41 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.Lql8V1oYyU/E---3.1_17356.p
% 18.60/2.99  # Version: 3.1pre001
% 18.60/2.99  # Preprocessing class: FSLSSMSMSSSNFFN.
% 18.60/2.99  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.60/2.99  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 18.60/2.99  # Starting new_bool_3 with 300s (1) cores
% 18.60/2.99  # Starting new_bool_1 with 300s (1) cores
% 18.60/2.99  # Starting sh5l with 300s (1) cores
% 18.60/2.99  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 17499 completed with status 0
% 18.60/2.99  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 18.60/2.99  # Preprocessing class: FSLSSMSMSSSNFFN.
% 18.60/2.99  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.60/2.99  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 18.60/2.99  # No SInE strategy applied
% 18.60/2.99  # Search class: FGHSM-FSLM33-DFFFFFNN
% 18.60/2.99  # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 18.60/2.99  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 271s (1) cores
% 18.60/2.99  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 18.60/2.99  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 18.60/2.99  # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 18.60/2.99  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 18.60/2.99  # G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 17508 completed with status 0
% 18.60/2.99  # Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN
% 18.60/2.99  # Preprocessing class: FSLSSMSMSSSNFFN.
% 18.60/2.99  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.60/2.99  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 18.60/2.99  # No SInE strategy applied
% 18.60/2.99  # Search class: FGHSM-FSLM33-DFFFFFNN
% 18.60/2.99  # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 18.60/2.99  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 271s (1) cores
% 18.60/2.99  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 18.60/2.99  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 18.60/2.99  # Preprocessing time       : 0.007 s
% 18.60/2.99  
% 18.60/2.99  # Proof found!
% 18.60/2.99  # SZS status Theorem
% 18.60/2.99  # SZS output start CNFRefutation
% See solution above
% 18.60/2.99  # Parsed axioms                        : 85
% 18.60/2.99  # Removed by relevancy pruning/SinE    : 0
% 18.60/2.99  # Initial clauses                      : 259
% 18.60/2.99  # Removed in clause preprocessing      : 2
% 18.60/2.99  # Initial clauses in saturation        : 257
% 18.60/2.99  # Processed clauses                    : 4969
% 18.60/2.99  # ...of these trivial                  : 105
% 18.60/2.99  # ...subsumed                          : 2587
% 18.60/2.99  # ...remaining for further processing  : 2277
% 18.60/2.99  # Other redundant clauses eliminated   : 12
% 18.60/2.99  # Clauses deleted for lack of memory   : 0
% 18.60/2.99  # Backward-subsumed                    : 275
% 18.60/2.99  # Backward-rewritten                   : 867
% 18.60/2.99  # Generated clauses                    : 88411
% 18.60/2.99  # ...of the previous two non-redundant : 85715
% 18.60/2.99  # ...aggressively subsumed             : 0
% 18.60/2.99  # Contextual simplify-reflections      : 199
% 18.60/2.99  # Paramodulations                      : 88267
% 18.60/2.99  # Factorizations                       : 130
% 18.60/2.99  # NegExts                              : 0
% 18.60/2.99  # Equation resolutions                 : 14
% 18.60/2.99  # Total rewrite steps                  : 48729
% 18.60/2.99  # Propositional unsat checks           : 0
% 18.60/2.99  #    Propositional check models        : 0
% 18.60/2.99  #    Propositional check unsatisfiable : 0
% 18.60/2.99  #    Propositional clauses             : 0
% 18.60/2.99  #    Propositional clauses after purity: 0
% 18.60/2.99  #    Propositional unsat core size     : 0
% 18.60/2.99  #    Propositional preprocessing time  : 0.000
% 18.60/2.99  #    Propositional encoding time       : 0.000
% 18.60/2.99  #    Propositional solver time         : 0.000
% 18.60/2.99  #    Success case prop preproc time    : 0.000
% 18.60/2.99  #    Success case prop encoding time   : 0.000
% 18.60/2.99  #    Success case prop solver time     : 0.000
% 18.60/2.99  # Current number of processed clauses  : 1134
% 18.60/2.99  #    Positive orientable unit clauses  : 104
% 18.60/2.99  #    Positive unorientable unit clauses: 4
% 18.60/2.99  #    Negative unit clauses             : 168
% 18.60/2.99  #    Non-unit-clauses                  : 858
% 18.60/2.99  # Current number of unprocessed clauses: 80194
% 18.60/2.99  # ...number of literals in the above   : 664291
% 18.60/2.99  # Current number of archived formulas  : 0
% 18.60/2.99  # Current number of archived clauses   : 1144
% 18.60/2.99  # Clause-clause subsumption calls (NU) : 752836
% 18.60/2.99  # Rec. Clause-clause subsumption calls : 22944
% 18.60/2.99  # Non-unit clause-clause subsumptions  : 1955
% 18.60/2.99  # Unit Clause-clause subsumption calls : 43253
% 18.60/2.99  # Rewrite failures with RHS unbound    : 0
% 18.60/2.99  # BW rewrite match attempts            : 66
% 18.60/2.99  # BW rewrite match successes           : 41
% 18.60/2.99  # Condensation attempts                : 0
% 18.60/2.99  # Condensation successes               : 0
% 18.60/2.99  # Termbank termtop insertions          : 2202881
% 18.60/2.99  
% 18.60/2.99  # -------------------------------------------------
% 18.60/2.99  # User time                : 2.211 s
% 18.60/2.99  # System time              : 0.073 s
% 18.60/2.99  # Total time               : 2.285 s
% 18.60/2.99  # Maximum resident set size: 2616 pages
% 18.60/2.99  
% 18.60/2.99  # -------------------------------------------------
% 18.60/2.99  # User time                : 11.516 s
% 18.60/2.99  # System time              : 0.360 s
% 18.60/2.99  # Total time               : 11.875 s
% 18.60/2.99  # Maximum resident set size: 1868 pages
% 18.60/2.99  % E---3.1 exiting
% 18.60/2.99  % E---3.1 exiting
%------------------------------------------------------------------------------