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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWV039+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 05:20:41 PM UTC 2026

% Result   : Theorem 13.74s 8.49s
% Output   : CNFRefutation 13.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  260 (  56 unt;   0 def)
%            Number of atoms       : 1936 ( 554 equ)
%            Maximal formula atoms :  585 (   7 avg)
%            Number of connectives : 2797 (1121   ~;1459   |; 176   &)
%                                         (   3 <=>;  38  =>;   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    :   30 (  30 usr;  24 con; 0-3 aty)
%            Number of variables   :   90 (   0 sgn  59   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(irreflexivity_gt,axiom,
    ! [X1] : ~ gt(X1,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).

fof(leq_succ_gt_equiv,axiom,
    ! [X1,X2] :
      ( leq(X1,X2)
    <=> gt(succ(X2),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).

fof(succ_plus_1_r,axiom,
    ! [X1] : plus(X1,n1) = succ(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).

fof(succ_plus_1_l,axiom,
    ! [X1] : plus(n1,X1) = succ(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).

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/benchmark/theBenchmark.p',gauss_init_0069) ).

fof(succ_pred,axiom,
    ! [X1] : succ(pred(X1)) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_pred) ).

fof(pred_minus_1,axiom,
    ! [X1] : minus(X1,n1) = pred(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).

fof(transitivity_leq,axiom,
    ! [X1,X2,X3] :
      ( ( leq(X1,X2)
        & leq(X2,X3) )
     => leq(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).

fof(finite_domain_2,axiom,
    ! [X1] :
      ( ( leq(n0,X1)
        & leq(X1,n2) )
     => ( X1 = n0
        | X1 = n1
        | X1 = n2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_2) ).

fof(leq_gt1,axiom,
    ! [X1,X2] :
      ( gt(X2,X1)
     => leq(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).

fof(gt_2_1,axiom,
    gt(n2,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_1) ).

fof(gt_1_0,axiom,
    gt(n1,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_0) ).

fof(reflexivity_leq,axiom,
    ! [X1] : leq(X1,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).

fof(gt_2_0,axiom,
    gt(n2,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_0) ).

fof(c_0_14,plain,
    ! [X1] : ~ gt(X1,X1),
    inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).

fof(c_0_15,plain,
    ! [X230,X231] :
      ( ( ~ leq(X230,X231)
        | gt(succ(X231),X230) )
      & ( ~ gt(succ(X231),X230)
        | leq(X230,X231) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt_equiv])]) ).

fof(c_0_16,plain,
    ! [X314] : plus(X314,n1) = succ(X314),
    inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).

fof(c_0_17,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_18,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_19,plain,
    ! [X212] : ~ gt(X212,X212),
    inference(variable_rename,[status(thm)],[c_0_14]) ).

cnf(c_0_20,plain,
    ( gt(succ(X2),X1)
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,plain,
    plus(X1,n1) = succ(X1),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_22,plain,
    ! [X315] : plus(n1,X315) = succ(X315),
    inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).

fof(c_0_23,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_17]),c_0_18]) ).

fof(c_0_24,plain,
    ! [X326] : succ(pred(X326)) = X326,
    inference(variable_rename,[status(thm)],[succ_pred]) ).

fof(c_0_25,plain,
    ! [X324] : minus(X324,n1) = pred(X324),
    inference(variable_rename,[status(thm)],[pred_minus_1]) ).

fof(c_0_26,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_17]) ).

cnf(c_0_27,plain,
    ~ gt(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_28,plain,
    ( gt(plus(X2,n1),X1)
    | ~ leq(X1,X2) ),
    inference(rw,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_29,plain,
    plus(n1,X1) = succ(X1),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_30,plain,
    ! [X214,X215,X216] :
      ( ~ leq(X214,X215)
      | ~ leq(X215,X216)
      | leq(X214,X216) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])]) ).

fof(c_0_31,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_23])])])]) ).

cnf(c_0_32,plain,
    succ(pred(X1)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_33,plain,
    minus(X1,n1) = pred(X1),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_34,plain,
    ! [X380,X381,X382,X383] :
      ( ( 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,X380)
        | ~ leq(X380,n2)
        | ~ leq(n0,X381)
        | ~ leq(X381,n3)
        | a_select3(simplex7_init,X381,X380) = init
        | ~ epred2_0 )
      & ( ~ leq(n0,X382)
        | ~ leq(X382,n3)
        | a_select2(s_values7_init,X382) = init
        | ~ epred2_0 )
      & ( ~ leq(n0,X383)
        | ~ leq(X383,n2)
        | a_select2(s_center7_init,X383) = 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_26])])])]) ).

cnf(c_0_35,plain,
    ~ leq(plus(X1,n1),X1),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_36,plain,
    plus(n1,X1) = plus(X1,n1),
    inference(rw,[status(thm)],[c_0_29,c_0_21]) ).

cnf(c_0_37,plain,
    ( leq(X1,X3)
    | ~ leq(X1,X2)
    | ~ leq(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_38,negated_conjecture,
    ( gt(loopcounter,n1)
    | leq(esk24_0,minus(n0,n1))
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_39,plain,
    plus(minus(X1,n1),n1) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_21]),c_0_33]) ).

fof(c_0_40,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_18]) ).

cnf(c_0_41,plain,
    ( pvar1402_init = init
    | ~ gt(loopcounter,n1)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_42,negated_conjecture,
    epred2_0,
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_43,plain,
    ~ leq(plus(n1,X1),X1),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_44,negated_conjecture,
    ( leq(X1,minus(n0,n1))
    | gt(loopcounter,n1)
    | ~ epred3_0
    | ~ leq(X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_45,plain,
    plus(n1,minus(X1,n1)) = X1,
    inference(rw,[status(thm)],[c_0_39,c_0_36]) ).

cnf(c_0_46,negated_conjecture,
    ( gt(loopcounter,n1)
    | leq(n0,esk24_0)
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_47,plain,
    ( pvar1401_init = init
    | ~ gt(loopcounter,n1)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_48,plain,
    ( pvar1400_init = init
    | ~ gt(loopcounter,n1)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_49,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_40])])])]) ).

cnf(c_0_50,plain,
    ( s_best7_init = init
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_51,plain,
    ( s_sworst7_init = init
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_52,plain,
    ( s_worst7_init = init
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_53,plain,
    ( leq(n0,s_best7)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_54,plain,
    ( leq(n0,s_sworst7)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_55,plain,
    ( leq(n0,s_worst7)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_56,plain,
    ( leq(s_best7,n3)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_57,plain,
    ( leq(s_sworst7,n3)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_58,plain,
    ( leq(s_worst7,n3)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_59,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_31]) ).

cnf(c_0_60,plain,
    ( pvar1402_init = init
    | ~ gt(loopcounter,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]) ).

cnf(c_0_61,negated_conjecture,
    ( gt(loopcounter,n1)
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_46]) ).

cnf(c_0_62,plain,
    ( pvar1401_init = init
    | ~ gt(loopcounter,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_42])]) ).

cnf(c_0_63,plain,
    ( pvar1400_init = init
    | ~ gt(loopcounter,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_42])]) ).

cnf(c_0_64,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_49]) ).

cnf(c_0_65,plain,
    s_best7_init = init,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_42])]) ).

cnf(c_0_66,plain,
    s_sworst7_init = init,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_42])]) ).

cnf(c_0_67,plain,
    s_worst7_init = init,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_42])]) ).

cnf(c_0_68,plain,
    leq(n0,s_best7),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_42])]) ).

cnf(c_0_69,plain,
    leq(n0,s_sworst7),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_42])]) ).

cnf(c_0_70,plain,
    leq(n0,s_worst7),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_42])]) ).

cnf(c_0_71,plain,
    leq(s_best7,n3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_42])]) ).

cnf(c_0_72,plain,
    leq(s_sworst7,n3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_42])]) ).

cnf(c_0_73,plain,
    leq(s_worst7,n3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_42])]) ).

cnf(c_0_74,negated_conjecture,
    ( leq(X1,minus(n0,n1))
    | pvar1400_init != init
    | pvar1401_init != init
    | pvar1402_init != init
    | ~ epred3_0
    | ~ leq(X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_59]) ).

cnf(c_0_75,negated_conjecture,
    ( leq(n0,esk24_0)
    | pvar1400_init != init
    | pvar1401_init != init
    | pvar1402_init != init
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_76,plain,
    ( pvar1402_init = init
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_77,plain,
    ( pvar1401_init = init
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_62,c_0_61]) ).

cnf(c_0_78,plain,
    ( pvar1400_init = init
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_63,c_0_61]) ).

cnf(c_0_79,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_49]) ).

cnf(c_0_80,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_49]) ).

cnf(c_0_81,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_49]) ).

cnf(c_0_82,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_49]) ).

cnf(c_0_83,plain,
    ( a_select2(s_center7_init,X1) = init
    | ~ leq(n0,X1)
    | ~ leq(X1,n2)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_84,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_64,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_85,negated_conjecture,
    ~ epred3_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_74]),c_0_45]),c_0_75]),c_0_76]),c_0_77]),c_0_78]) ).

cnf(c_0_86,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_79,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_87,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_49]) ).

cnf(c_0_88,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_49]) ).

cnf(c_0_89,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_80,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_90,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_81,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_91,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_49]) ).

cnf(c_0_92,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_49]) ).

cnf(c_0_93,plain,
    ( a_select2(s_values7_init,X1) = init
    | ~ leq(n0,X1)
    | ~ leq(X1,n3)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_94,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_82,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_95,plain,
    ( a_select2(s_center7_init,X1) = init
    | ~ leq(X1,n2)
    | ~ leq(n0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_42])]) ).

cnf(c_0_96,plain,
    ( leq(n0,esk29_0)
    | leq(n0,esk31_0)
    | leq(n0,esk32_0) ),
    inference(sr,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_97,plain,
    ( leq(n0,esk29_0)
    | leq(n0,esk31_0)
    | leq(esk32_0,n2) ),
    inference(sr,[status(thm)],[c_0_86,c_0_85]) ).

cnf(c_0_98,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_87,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_99,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_49]) ).

cnf(c_0_100,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_88,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_101,plain,
    ( leq(n0,esk30_0)
    | leq(n0,esk31_0)
    | leq(n0,esk32_0) ),
    inference(sr,[status(thm)],[c_0_89,c_0_85]) ).

cnf(c_0_102,plain,
    ( leq(n0,esk30_0)
    | leq(n0,esk31_0)
    | leq(esk32_0,n2) ),
    inference(sr,[status(thm)],[c_0_90,c_0_85]) ).

cnf(c_0_103,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_91,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_104,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_49]) ).

cnf(c_0_105,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_49]) ).

cnf(c_0_106,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_49]) ).

cnf(c_0_107,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_49]) ).

cnf(c_0_108,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_49]) ).

cnf(c_0_109,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_34]) ).

cnf(c_0_110,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_92,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_111,plain,
    ( a_select2(s_values7_init,X1) = init
    | ~ leq(X1,n3)
    | ~ leq(n0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_42])]) ).

cnf(c_0_112,plain,
    ( leq(n0,esk29_0)
    | leq(n0,esk31_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_85]),c_0_96]),c_0_97]) ).

cnf(c_0_113,plain,
    ( leq(n0,esk29_0)
    | leq(n0,esk32_0)
    | leq(esk31_0,n3) ),
    inference(sr,[status(thm)],[c_0_98,c_0_85]) ).

cnf(c_0_114,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_99,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_115,plain,
    ( leq(n0,esk30_0)
    | leq(n0,esk31_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_95]),c_0_85]),c_0_101]),c_0_102]) ).

cnf(c_0_116,plain,
    ( leq(n0,esk30_0)
    | leq(n0,esk32_0)
    | leq(esk31_0,n3) ),
    inference(sr,[status(thm)],[c_0_103,c_0_85]) ).

cnf(c_0_117,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_104,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_118,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_105,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_119,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_49]) ).

cnf(c_0_120,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_49]) ).

cnf(c_0_121,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_49]) ).

cnf(c_0_122,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_106,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_123,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_49]) ).

cnf(c_0_124,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_107,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_125,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_49]) ).

cnf(c_0_126,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_49]) ).

cnf(c_0_127,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_108,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_128,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_109,c_0_42])]) ).

cnf(c_0_129,plain,
    ( leq(n0,esk29_0)
    | leq(n0,esk32_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_85]),c_0_112]),c_0_113]) ).

cnf(c_0_130,plain,
    ( leq(n0,esk30_0)
    | leq(n0,esk32_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_111]),c_0_85]),c_0_115]),c_0_116]) ).

cnf(c_0_131,plain,
    ( leq(n0,esk31_0)
    | leq(n0,esk32_0)
    | leq(esk29_0,n2) ),
    inference(sr,[status(thm)],[c_0_117,c_0_85]) ).

cnf(c_0_132,plain,
    ( leq(n0,esk31_0)
    | leq(n0,esk32_0)
    | leq(esk30_0,n3) ),
    inference(sr,[status(thm)],[c_0_118,c_0_85]) ).

cnf(c_0_133,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_119,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_134,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_49]) ).

cnf(c_0_135,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_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_120,c_0_65]),c_0_66]),c_0_67]),c_0_68])]) ).

cnf(c_0_136,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_49]) ).

cnf(c_0_137,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_49]) ).

cnf(c_0_138,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_49]) ).

cnf(c_0_139,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_121,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_140,plain,
    ( leq(n0,esk29_0)
    | leq(esk31_0,n3)
    | leq(esk32_0,n2) ),
    inference(sr,[status(thm)],[c_0_122,c_0_85]) ).

cnf(c_0_141,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_49]) ).

cnf(c_0_142,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_123,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_143,plain,
    ( leq(n0,esk30_0)
    | leq(esk31_0,n3)
    | leq(esk32_0,n2) ),
    inference(sr,[status(thm)],[c_0_124,c_0_85]) ).

cnf(c_0_144,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_49]) ).

cnf(c_0_145,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_125,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_146,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_49]) ).

cnf(c_0_147,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_126,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_148,plain,
    ( leq(n0,esk31_0)
    | leq(n0,esk32_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_85]),c_0_129]),c_0_130]),c_0_131]),c_0_132]) ).

cnf(c_0_149,plain,
    ( leq(n0,esk31_0)
    | leq(esk29_0,n2)
    | leq(esk32_0,n2) ),
    inference(sr,[status(thm)],[c_0_133,c_0_85]) ).

cnf(c_0_150,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_134,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_151,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_49]) ).

cnf(c_0_152,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_49]) ).

cnf(c_0_153,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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_69])]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_154,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_136,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_155,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_137,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_156,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_49]) ).

cnf(c_0_157,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_49]) ).

cnf(c_0_158,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_138,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_159,plain,
    ( leq(n0,esk29_0)
    | leq(esk31_0,n3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_95]),c_0_85]),c_0_129]),c_0_140]) ).

cnf(c_0_160,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_141,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_161,plain,
    ( leq(n0,esk30_0)
    | leq(esk31_0,n3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_95]),c_0_85]),c_0_130]),c_0_143]) ).

cnf(c_0_162,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_144,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_163,plain,
    ( leq(n0,esk31_0)
    | leq(esk30_0,n3)
    | leq(esk32_0,n2) ),
    inference(sr,[status(thm)],[c_0_145,c_0_85]) ).

cnf(c_0_164,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_49]) ).

cnf(c_0_165,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_146,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_166,plain,
    ( leq(n0,esk31_0)
    | leq(esk29_0,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_95]),c_0_85]),c_0_148]),c_0_149]) ).

cnf(c_0_167,plain,
    ( leq(n0,esk32_0)
    | leq(esk29_0,n2)
    | leq(esk31_0,n3) ),
    inference(sr,[status(thm)],[c_0_150,c_0_85]) ).

cnf(c_0_168,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_151,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_169,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_49]) ).

cnf(c_0_170,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_152,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_171,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_49]) ).

cnf(c_0_172,plain,
    ( a_select3(simplex7_init,esk30_0,esk29_0) != init
    | a_select2(s_values7_init,esk31_0) != init
    | ~ leq(esk32_0,n2)
    | ~ leq(n0,esk32_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_95]),c_0_85]) ).

cnf(c_0_173,plain,
    ( leq(n0,esk31_0)
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | ~ leq(esk32_0,n2)
    | ~ leq(n0,esk32_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_95]),c_0_85]) ).

cnf(c_0_174,plain,
    ( leq(esk31_0,n3)
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | ~ leq(esk32_0,n2)
    | ~ leq(n0,esk32_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_95]),c_0_85]) ).

cnf(c_0_175,plain,
    ( epred3_0
    | leq(n0,esk30_0)
    | a_select2(s_values7_init,esk31_0) != init
    | a_select2(s_center7_init,esk32_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_176,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_49]) ).

cnf(c_0_177,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_49]) ).

cnf(c_0_178,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_157,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_179,plain,
    ( leq(n0,esk29_0)
    | leq(esk32_0,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_111]),c_0_85]),c_0_112]),c_0_159]) ).

cnf(c_0_180,plain,
    ( leq(n0,esk30_0)
    | leq(esk32_0,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_111]),c_0_85]),c_0_115]),c_0_161]) ).

cnf(c_0_181,plain,
    ( leq(n0,esk31_0)
    | leq(esk30_0,n3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_95]),c_0_85]),c_0_148]),c_0_163]) ).

cnf(c_0_182,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_164,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_183,plain,
    ( leq(n0,esk32_0)
    | leq(esk29_0,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_111]),c_0_85]),c_0_166]),c_0_167]) ).

cnf(c_0_184,plain,
    ( leq(esk29_0,n2)
    | leq(esk31_0,n3)
    | leq(esk32_0,n2) ),
    inference(sr,[status(thm)],[c_0_168,c_0_85]) ).

cnf(c_0_185,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_49]) ).

cnf(c_0_186,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_169,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_187,plain,
    ( leq(n0,esk32_0)
    | leq(esk30_0,n3)
    | leq(esk31_0,n3) ),
    inference(sr,[status(thm)],[c_0_170,c_0_85]) ).

cnf(c_0_188,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_171,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_189,plain,
    ( a_select3(simplex7_init,esk30_0,esk29_0) != init
    | ~ leq(esk32_0,n2)
    | ~ leq(n0,esk32_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_111]),c_0_173]),c_0_174]) ).

cnf(c_0_190,plain,
    ( leq(n0,esk30_0)
    | a_select2(s_values7_init,esk31_0) != init
    | ~ leq(esk32_0,n2)
    | ~ leq(n0,esk32_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_95]),c_0_85]) ).

cnf(c_0_191,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_176,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_192,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_177,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_193,plain,
    ( leq(n0,esk31_0)
    | leq(esk32_0,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_128]),c_0_85]),c_0_179]),c_0_180]),c_0_166]),c_0_181]) ).

cnf(c_0_194,plain,
    ( leq(esk29_0,n2)
    | leq(esk31_0,n3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_95]),c_0_85]),c_0_183]),c_0_184]) ).

cnf(c_0_195,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_49]) ).

cnf(c_0_196,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_185,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_197,plain,
    ( leq(n0,esk32_0)
    | leq(esk30_0,n3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_111]),c_0_85]),c_0_148]),c_0_187]) ).

cnf(c_0_198,plain,
    ( leq(esk30_0,n3)
    | leq(esk31_0,n3)
    | leq(esk32_0,n2) ),
    inference(sr,[status(thm)],[c_0_188,c_0_85]) ).

cnf(c_0_199,plain,
    ( ~ leq(esk32_0,n2)
    | ~ leq(n0,esk32_0)
    | ~ leq(esk30_0,n3)
    | ~ leq(esk29_0,n2)
    | ~ leq(n0,esk30_0)
    | ~ leq(n0,esk29_0) ),
    inference(spm,[status(thm)],[c_0_189,c_0_128]) ).

cnf(c_0_200,plain,
    leq(n0,esk30_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_111]),c_0_115]),c_0_161]),c_0_130]),c_0_180]) ).

cnf(c_0_201,plain,
    ( leq(esk29_0,n2)
    | a_select2(s_values7_init,esk31_0) != init
    | ~ leq(esk32_0,n2)
    | ~ leq(n0,esk32_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_95]),c_0_85]) ).

cnf(c_0_202,plain,
    ( leq(esk29_0,n2)
    | leq(esk32_0,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_111]),c_0_85]),c_0_193]),c_0_194]) ).

cnf(c_0_203,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_49]) ).

cnf(c_0_204,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_49]) ).

cnf(c_0_205,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_195,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_206,plain,
    ( leq(esk30_0,n3)
    | leq(esk31_0,n3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_95]),c_0_85]),c_0_197]),c_0_198]) ).

cnf(c_0_207,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_49]) ).

cnf(c_0_208,plain,
    ( ~ leq(esk32_0,n2)
    | ~ leq(n0,esk32_0)
    | ~ leq(esk30_0,n3)
    | ~ leq(esk29_0,n2)
    | ~ leq(n0,esk29_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_200])]) ).

cnf(c_0_209,plain,
    leq(esk29_0,n2),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_111]),c_0_166]),c_0_194]),c_0_183]),c_0_202]) ).

cnf(c_0_210,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_203,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_211,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_204,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_212,plain,
    ( leq(esk30_0,n3)
    | leq(esk32_0,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_111]),c_0_85]),c_0_193]),c_0_206]) ).

cnf(c_0_213,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_207,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_214,plain,
    ( ~ leq(esk32_0,n2)
    | ~ leq(n0,esk32_0)
    | ~ leq(esk30_0,n3)
    | ~ leq(n0,esk29_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_209])]) ).

cnf(c_0_215,plain,
    ( leq(n0,esk32_0)
    | leq(esk31_0,n3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_128]),c_0_85]),c_0_159]),c_0_161]),c_0_194]),c_0_206]) ).

cnf(c_0_216,plain,
    ( leq(esk31_0,n3)
    | leq(esk32_0,n2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_128]),c_0_85]),c_0_179]),c_0_180]),c_0_202]),c_0_212]) ).

cnf(c_0_217,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_49]) ).

cnf(c_0_218,plain,
    ( leq(n0,esk32_0)
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | ~ leq(esk31_0,n3)
    | ~ leq(n0,esk31_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_111]),c_0_85]) ).

cnf(c_0_219,plain,
    leq(n0,esk31_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_181]),c_0_112]),c_0_148]),c_0_193]) ).

cnf(c_0_220,plain,
    leq(esk31_0,n3),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_206]),c_0_159]),c_0_215]),c_0_216]) ).

cnf(c_0_221,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_217,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_222,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_49]) ).

cnf(c_0_223,plain,
    ( leq(n0,esk32_0)
    | a_select3(simplex7_init,esk30_0,esk29_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_218,c_0_219])]),c_0_220])]) ).

cnf(c_0_224,plain,
    ( leq(esk32_0,n2)
    | a_select3(simplex7_init,esk30_0,esk29_0) != init
    | ~ leq(esk31_0,n3)
    | ~ leq(n0,esk31_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_111]),c_0_85]) ).

cnf(c_0_225,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_222,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).

cnf(c_0_226,plain,
    leq(n0,esk32_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_128]),c_0_209]),c_0_200])]),c_0_129]),c_0_197]) ).

cnf(c_0_227,plain,
    ( leq(esk32_0,n2)
    | a_select3(simplex7_init,esk30_0,esk29_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_219])]),c_0_220])]) ).

cnf(c_0_228,plain,
    ( leq(esk30_0,n3)
    | a_select2(s_values7_init,esk31_0) != init
    | ~ leq(esk32_0,n2)
    | ~ leq(n0,esk32_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_95]),c_0_85]) ).

cnf(c_0_229,plain,
    a_select3(simplex7_init,esk30_0,esk29_0) != init,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_226])]),c_0_227]) ).

cnf(c_0_230,plain,
    ( leq(esk30_0,n3)
    | a_select2(s_values7_init,esk31_0) != init ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_226])]),c_0_212]) ).

cnf(c_0_231,plain,
    ( ~ leq(esk30_0,n3)
    | ~ leq(n0,esk29_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_128]),c_0_209]),c_0_200])]) ).

cnf(c_0_232,plain,
    leq(esk30_0,n3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_111]),c_0_220]),c_0_219])]) ).

cnf(c_0_233,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_49]) ).

fof(c_0_234,plain,
    ! [X370] :
      ( ~ leq(n0,X370)
      | ~ leq(X370,n2)
      | X370 = n0
      | X370 = n1
      | X370 = n2 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_2])]) ).

cnf(c_0_235,plain,
    ~ leq(n0,esk29_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_232])]) ).

cnf(c_0_236,plain,
    ( epred3_0
    | leq(n0,esk29_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_233,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71])]) ).

cnf(c_0_237,plain,
    ( X1 = n0
    | X1 = n1
    | X1 = n2
    | ~ leq(n0,X1)
    | ~ leq(X1,n2) ),
    inference(split_conjunct,[status(thm)],[c_0_234]) ).

cnf(c_0_238,plain,
    leq(esk32_0,n2),
    inference(sr,[status(thm)],[c_0_179,c_0_235]) ).

fof(c_0_239,plain,
    ! [X221,X222] :
      ( ~ gt(X222,X221)
      | leq(X221,X222) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt1])]) ).

cnf(c_0_240,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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_72])]),c_0_73])]) ).

cnf(c_0_241,plain,
    ( esk32_0 = n0
    | esk32_0 = n1
    | esk32_0 = n2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_226])]) ).

cnf(c_0_242,plain,
    ( leq(X2,X1)
    | ~ gt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_239]) ).

cnf(c_0_243,plain,
    gt(n2,n1),
    inference(split_conjunct,[status(thm)],[gt_2_1]) ).

cnf(c_0_244,plain,
    gt(n1,n0),
    inference(split_conjunct,[status(thm)],[gt_1_0]) ).

cnf(c_0_245,plain,
    ( esk32_0 = n2
    | esk32_0 = n0
    | a_select2(s_values7_init,esk31_0) != init
    | a_select2(s_center7_init,n1) != init ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_85]),c_0_235]) ).

cnf(c_0_246,plain,
    leq(n1,n2),
    inference(spm,[status(thm)],[c_0_242,c_0_243]) ).

cnf(c_0_247,plain,
    leq(n0,n1),
    inference(spm,[status(thm)],[c_0_242,c_0_244]) ).

cnf(c_0_248,plain,
    ( esk32_0 = n0
    | esk32_0 = n2
    | a_select2(s_values7_init,esk31_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_95]),c_0_246]),c_0_247])]) ).

cnf(c_0_249,plain,
    ( esk32_0 = n2
    | esk32_0 = n0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_111]),c_0_220]),c_0_219])]) ).

fof(c_0_250,plain,
    ! [X213] : leq(X213,X213),
    inference(variable_rename,[status(thm)],[reflexivity_leq]) ).

cnf(c_0_251,plain,
    gt(n2,n0),
    inference(split_conjunct,[status(thm)],[gt_2_0]) ).

cnf(c_0_252,plain,
    ( esk32_0 = n0
    | a_select2(s_values7_init,esk31_0) != init
    | a_select2(s_center7_init,n2) != init ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_249]),c_0_85]),c_0_235]) ).

cnf(c_0_253,plain,
    leq(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_250]) ).

cnf(c_0_254,plain,
    leq(n0,n2),
    inference(spm,[status(thm)],[c_0_242,c_0_251]) ).

cnf(c_0_255,plain,
    ( esk32_0 = n0
    | a_select2(s_values7_init,esk31_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_95]),c_0_253]),c_0_254])]) ).

cnf(c_0_256,plain,
    esk32_0 = n0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_111]),c_0_220]),c_0_219])]) ).

cnf(c_0_257,plain,
    ( a_select2(s_values7_init,esk31_0) != init
    | a_select2(s_center7_init,n0) != init ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_256]),c_0_85]),c_0_235]) ).

cnf(c_0_258,plain,
    a_select2(s_values7_init,esk31_0) != init,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_95]),c_0_254]),c_0_253])]) ).

cnf(c_0_259,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_111]),c_0_220]),c_0_219])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV039+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32  % Computer : n018.cluster.edu
% 0.14/0.32  % Model    : x86_64 x86_64
% 0.14/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32  % Memory   : 8042.1875MB
% 0.14/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32  % CPULimit   : 300
% 0.14/0.32  % WCLimit    : 300
% 0.14/0.32  % DateTime   : Tue May  5 04:54:02 EDT 2026
% 0.14/0.33  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 13.74/8.49  % Version  : CSE_E---1.7
% 13.74/8.49  % Problem  : theBenchmark.p
% 13.74/8.49  % SZS status Theorem for theBenchmark.p
% 13.74/8.49  % SZS output start CNFRefutation
% See solution above
% 13.84/8.54  % Total time : 6.438s
%------------------------------------------------------------------------------