TSTP Solution File: SET766+4 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SET766+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n017.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  : 600s
% DateTime : Tue Jul 19 02:16:01 EDT 2022

% Result   : Theorem 1.89s 2.07s
% Output   : CNFRefutation 1.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  768 (  16 unt;   0 def)
%            Number of atoms       : 3208 (  79 equ)
%            Maximal formula atoms :  207 (   4 avg)
%            Number of connectives : 3575 (1135   ~;2212   |; 161   &)
%                                         (  32 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   65 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :   56 (  56 usr;   7 con; 0-3 aty)
%            Number of variables   : 1916 (  55 sgn 219   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
    ! [X7,X4] :
      ( pre_order(X7,X4)
    <=> ( ! [X3] :
            ( member(X3,X4)
           => apply(X7,X3,X3) )
        & ! [X3,X5,X6] :
            ( ( member(X3,X4)
              & member(X5,X4)
              & member(X6,X4) )
           => ( ( apply(X7,X3,X5)
                & apply(X7,X5,X6) )
             => apply(X7,X3,X6) ) ) ) ),
    file('<stdin>',pre_order) ).

fof(c_0_1,axiom,
    ! [X7,X4,X1,X3] :
      ( member(X3,equivalence_class(X1,X4,X7))
    <=> ( member(X3,X4)
        & apply(X7,X1,X3) ) ),
    file('<stdin>',equivalence_class) ).

fof(c_0_2,axiom,
    ! [X1,X4] :
      ( partition(X1,X4)
    <=> ( ! [X3] :
            ( member(X3,X1)
           => subset(X3,X4) )
        & ! [X3] :
            ( member(X3,X4)
           => ? [X5] :
                ( member(X5,X1)
                & member(X3,X5) ) )
        & ! [X3,X5] :
            ( ( member(X3,X1)
              & member(X5,X1) )
           => ( ? [X6] :
                  ( member(X6,X3)
                  & member(X6,X5) )
             => X3 = X5 ) ) ) ),
    file('<stdin>',partition) ).

fof(c_0_3,axiom,
    ! [X3,X1,X2] :
      ( member(X3,union(X1,X2))
    <=> ( member(X3,X1)
        | member(X3,X2) ) ),
    file('<stdin>',union) ).

fof(c_0_4,axiom,
    ! [X2,X1,X4] :
      ( member(X2,difference(X4,X1))
    <=> ( member(X2,X4)
        & ~ member(X2,X1) ) ),
    file('<stdin>',difference) ).

fof(c_0_5,axiom,
    ! [X3,X1,X2] :
      ( member(X3,intersection(X1,X2))
    <=> ( member(X3,X1)
        & member(X3,X2) ) ),
    file('<stdin>',intersection) ).

fof(c_0_6,axiom,
    ! [X3,X1] :
      ( member(X3,product(X1))
    <=> ! [X5] :
          ( member(X5,X1)
         => member(X3,X5) ) ),
    file('<stdin>',product) ).

fof(c_0_7,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( member(X3,X1)
         => member(X3,X2) ) ),
    file('<stdin>',subset) ).

fof(c_0_8,axiom,
    ! [X3,X1] :
      ( member(X3,sum(X1))
    <=> ? [X5] :
          ( member(X5,X1)
          & member(X3,X5) ) ),
    file('<stdin>',sum) ).

fof(c_0_9,axiom,
    ! [X1,X2] :
      ( disjoint(X1,X2)
    <=> ~ ? [X3] :
            ( member(X3,X1)
            & member(X3,X2) ) ),
    file('<stdin>',disjoint) ).

fof(c_0_10,axiom,
    ! [X3,X1,X2] :
      ( member(X3,unordered_pair(X1,X2))
    <=> ( X3 = X1
        | X3 = X2 ) ),
    file('<stdin>',unordered_pair) ).

fof(c_0_11,axiom,
    ! [X1,X2] :
      ( equal_set(X1,X2)
    <=> ( subset(X1,X2)
        & subset(X2,X1) ) ),
    file('<stdin>',equal_set) ).

fof(c_0_12,axiom,
    ! [X3,X1] :
      ( member(X3,power_set(X1))
    <=> subset(X3,X1) ),
    file('<stdin>',power_set) ).

fof(c_0_13,axiom,
    ! [X1,X7] :
      ( equivalence(X7,X1)
    <=> ( ! [X3] :
            ( member(X3,X1)
           => apply(X7,X3,X3) )
        & ! [X3,X5] :
            ( ( member(X3,X1)
              & member(X5,X1) )
           => ( apply(X7,X3,X5)
             => apply(X7,X5,X3) ) )
        & ! [X3,X5,X6] :
            ( ( member(X3,X1)
              & member(X5,X1)
              & member(X6,X1) )
           => ( ( apply(X7,X3,X5)
                & apply(X7,X5,X6) )
             => apply(X7,X3,X6) ) ) ) ),
    file('<stdin>',equivalence) ).

fof(c_0_14,axiom,
    ! [X3,X1] :
      ( member(X3,singleton(X1))
    <=> X3 = X1 ),
    file('<stdin>',singleton) ).

fof(c_0_15,axiom,
    ! [X3] : ~ member(X3,empty_set),
    file('<stdin>',empty_set) ).

fof(c_0_16,plain,
    ! [X1,X7] :
      ( epred1_2(X7,X1)
    <=> ( ! [X3] :
            ( member(X3,X1)
           => apply(X7,X3,X3) )
        & ! [X3,X5] :
            ( ( member(X3,X1)
              & member(X5,X1) )
           => ( apply(X7,X3,X5)
             => apply(X7,X5,X3) ) )
        & ! [X3,X5,X6] :
            ( ( member(X3,X1)
              & member(X5,X1)
              & member(X6,X1) )
           => ( ( apply(X7,X3,X5)
                & apply(X7,X5,X6) )
             => apply(X7,X3,X6) ) ) ) ),
    introduced(definition) ).

fof(c_0_17,plain,
    ! [X1,X7] :
      ( epred1_2(X7,X1)
    <=> ( ! [X3] :
            ( member(X3,X1)
           => apply(X7,X3,X3) )
        & ! [X3,X5] :
            ( ( member(X3,X1)
              & member(X5,X1) )
           => ( apply(X7,X3,X5)
             => apply(X7,X5,X3) ) )
        & ! [X3,X5,X6] :
            ( ( member(X3,X1)
              & member(X5,X1)
              & member(X6,X1) )
           => ( ( apply(X7,X3,X5)
                & apply(X7,X5,X6) )
             => apply(X7,X3,X6) ) ) ) ),
    c_0_16 ).

fof(c_0_18,axiom,
    ! [X7,X4] :
      ( pre_order(X7,X4)
    <=> ( ! [X3] :
            ( member(X3,X4)
           => apply(X7,X3,X3) )
        & ! [X3,X5,X6] :
            ( ( member(X3,X4)
              & member(X5,X4)
              & member(X6,X4) )
           => ( ( apply(X7,X3,X5)
                & apply(X7,X5,X6) )
             => apply(X7,X3,X6) ) ) ) ),
    c_0_0 ).

fof(c_0_19,axiom,
    ! [X7,X4,X1,X3] :
      ( member(X3,equivalence_class(X1,X4,X7))
    <=> ( member(X3,X4)
        & apply(X7,X1,X3) ) ),
    c_0_1 ).

fof(c_0_20,axiom,
    ! [X1,X4] :
      ( partition(X1,X4)
    <=> ( ! [X3] :
            ( member(X3,X1)
           => subset(X3,X4) )
        & ! [X3] :
            ( member(X3,X4)
           => ? [X5] :
                ( member(X5,X1)
                & member(X3,X5) ) )
        & ! [X3,X5] :
            ( ( member(X3,X1)
              & member(X5,X1) )
           => ( ? [X6] :
                  ( member(X6,X3)
                  & member(X6,X5) )
             => X3 = X5 ) ) ) ),
    c_0_2 ).

fof(c_0_21,axiom,
    ! [X3,X1,X2] :
      ( member(X3,union(X1,X2))
    <=> ( member(X3,X1)
        | member(X3,X2) ) ),
    c_0_3 ).

fof(c_0_22,plain,
    ! [X2,X1,X4] :
      ( member(X2,difference(X4,X1))
    <=> ( member(X2,X4)
        & ~ member(X2,X1) ) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_23,axiom,
    ! [X3,X1,X2] :
      ( member(X3,intersection(X1,X2))
    <=> ( member(X3,X1)
        & member(X3,X2) ) ),
    c_0_5 ).

fof(c_0_24,axiom,
    ! [X3,X1] :
      ( member(X3,product(X1))
    <=> ! [X5] :
          ( member(X5,X1)
         => member(X3,X5) ) ),
    c_0_6 ).

fof(c_0_25,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( member(X3,X1)
         => member(X3,X2) ) ),
    c_0_7 ).

fof(c_0_26,axiom,
    ! [X3,X1] :
      ( member(X3,sum(X1))
    <=> ? [X5] :
          ( member(X5,X1)
          & member(X3,X5) ) ),
    c_0_8 ).

fof(c_0_27,axiom,
    ! [X1,X2] :
      ( disjoint(X1,X2)
    <=> ~ ? [X3] :
            ( member(X3,X1)
            & member(X3,X2) ) ),
    c_0_9 ).

fof(c_0_28,axiom,
    ! [X3,X1,X2] :
      ( member(X3,unordered_pair(X1,X2))
    <=> ( X3 = X1
        | X3 = X2 ) ),
    c_0_10 ).

fof(c_0_29,axiom,
    ! [X1,X2] :
      ( equal_set(X1,X2)
    <=> ( subset(X1,X2)
        & subset(X2,X1) ) ),
    c_0_11 ).

fof(c_0_30,axiom,
    ! [X3,X1] :
      ( member(X3,power_set(X1))
    <=> subset(X3,X1) ),
    c_0_12 ).

fof(c_0_31,axiom,
    ! [X1,X7] :
      ( equivalence(X7,X1)
    <=> epred1_2(X7,X1) ),
    inference(apply_def,[status(thm)],[c_0_13,c_0_16,theory(equality,[symmetry])]) ).

fof(c_0_32,axiom,
    ! [X3,X1] :
      ( member(X3,singleton(X1))
    <=> X3 = X1 ),
    c_0_14 ).

fof(c_0_33,plain,
    ! [X3] : ~ member(X3,empty_set),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_34,plain,
    ! [X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
      ( ( ~ member(X10,X8)
        | apply(X9,X10,X10)
        | ~ epred1_2(X9,X8) )
      & ( ~ member(X11,X8)
        | ~ member(X12,X8)
        | ~ apply(X9,X11,X12)
        | apply(X9,X12,X11)
        | ~ epred1_2(X9,X8) )
      & ( ~ member(X13,X8)
        | ~ member(X14,X8)
        | ~ member(X15,X8)
        | ~ apply(X9,X13,X14)
        | ~ apply(X9,X14,X15)
        | apply(X9,X13,X15)
        | ~ epred1_2(X9,X8) )
      & ( member(esk18_2(X16,X17),X16)
        | member(esk16_2(X16,X17),X16)
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk19_2(X16,X17),X16)
        | member(esk16_2(X16,X17),X16)
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk20_2(X16,X17),X16)
        | member(esk16_2(X16,X17),X16)
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( apply(X17,esk18_2(X16,X17),esk19_2(X16,X17))
        | member(esk16_2(X16,X17),X16)
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( apply(X17,esk19_2(X16,X17),esk20_2(X16,X17))
        | member(esk16_2(X16,X17),X16)
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( ~ apply(X17,esk18_2(X16,X17),esk20_2(X16,X17))
        | member(esk16_2(X16,X17),X16)
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk18_2(X16,X17),X16)
        | member(esk17_2(X16,X17),X16)
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk19_2(X16,X17),X16)
        | member(esk17_2(X16,X17),X16)
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk20_2(X16,X17),X16)
        | member(esk17_2(X16,X17),X16)
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( apply(X17,esk18_2(X16,X17),esk19_2(X16,X17))
        | member(esk17_2(X16,X17),X16)
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( apply(X17,esk19_2(X16,X17),esk20_2(X16,X17))
        | member(esk17_2(X16,X17),X16)
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( ~ apply(X17,esk18_2(X16,X17),esk20_2(X16,X17))
        | member(esk17_2(X16,X17),X16)
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk18_2(X16,X17),X16)
        | apply(X17,esk16_2(X16,X17),esk17_2(X16,X17))
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk19_2(X16,X17),X16)
        | apply(X17,esk16_2(X16,X17),esk17_2(X16,X17))
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk20_2(X16,X17),X16)
        | apply(X17,esk16_2(X16,X17),esk17_2(X16,X17))
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( apply(X17,esk18_2(X16,X17),esk19_2(X16,X17))
        | apply(X17,esk16_2(X16,X17),esk17_2(X16,X17))
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( apply(X17,esk19_2(X16,X17),esk20_2(X16,X17))
        | apply(X17,esk16_2(X16,X17),esk17_2(X16,X17))
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( ~ apply(X17,esk18_2(X16,X17),esk20_2(X16,X17))
        | apply(X17,esk16_2(X16,X17),esk17_2(X16,X17))
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk18_2(X16,X17),X16)
        | ~ apply(X17,esk17_2(X16,X17),esk16_2(X16,X17))
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk19_2(X16,X17),X16)
        | ~ apply(X17,esk17_2(X16,X17),esk16_2(X16,X17))
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk20_2(X16,X17),X16)
        | ~ apply(X17,esk17_2(X16,X17),esk16_2(X16,X17))
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( apply(X17,esk18_2(X16,X17),esk19_2(X16,X17))
        | ~ apply(X17,esk17_2(X16,X17),esk16_2(X16,X17))
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( apply(X17,esk19_2(X16,X17),esk20_2(X16,X17))
        | ~ apply(X17,esk17_2(X16,X17),esk16_2(X16,X17))
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( ~ apply(X17,esk18_2(X16,X17),esk20_2(X16,X17))
        | ~ apply(X17,esk17_2(X16,X17),esk16_2(X16,X17))
        | member(esk15_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk18_2(X16,X17),X16)
        | member(esk16_2(X16,X17),X16)
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( member(esk19_2(X16,X17),X16)
        | member(esk16_2(X16,X17),X16)
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( member(esk20_2(X16,X17),X16)
        | member(esk16_2(X16,X17),X16)
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( apply(X17,esk18_2(X16,X17),esk19_2(X16,X17))
        | member(esk16_2(X16,X17),X16)
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( apply(X17,esk19_2(X16,X17),esk20_2(X16,X17))
        | member(esk16_2(X16,X17),X16)
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( ~ apply(X17,esk18_2(X16,X17),esk20_2(X16,X17))
        | member(esk16_2(X16,X17),X16)
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( member(esk18_2(X16,X17),X16)
        | member(esk17_2(X16,X17),X16)
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( member(esk19_2(X16,X17),X16)
        | member(esk17_2(X16,X17),X16)
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( member(esk20_2(X16,X17),X16)
        | member(esk17_2(X16,X17),X16)
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( apply(X17,esk18_2(X16,X17),esk19_2(X16,X17))
        | member(esk17_2(X16,X17),X16)
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( apply(X17,esk19_2(X16,X17),esk20_2(X16,X17))
        | member(esk17_2(X16,X17),X16)
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( ~ apply(X17,esk18_2(X16,X17),esk20_2(X16,X17))
        | member(esk17_2(X16,X17),X16)
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( member(esk18_2(X16,X17),X16)
        | apply(X17,esk16_2(X16,X17),esk17_2(X16,X17))
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( member(esk19_2(X16,X17),X16)
        | apply(X17,esk16_2(X16,X17),esk17_2(X16,X17))
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( member(esk20_2(X16,X17),X16)
        | apply(X17,esk16_2(X16,X17),esk17_2(X16,X17))
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( apply(X17,esk18_2(X16,X17),esk19_2(X16,X17))
        | apply(X17,esk16_2(X16,X17),esk17_2(X16,X17))
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( apply(X17,esk19_2(X16,X17),esk20_2(X16,X17))
        | apply(X17,esk16_2(X16,X17),esk17_2(X16,X17))
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( ~ apply(X17,esk18_2(X16,X17),esk20_2(X16,X17))
        | apply(X17,esk16_2(X16,X17),esk17_2(X16,X17))
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( member(esk18_2(X16,X17),X16)
        | ~ apply(X17,esk17_2(X16,X17),esk16_2(X16,X17))
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( member(esk19_2(X16,X17),X16)
        | ~ apply(X17,esk17_2(X16,X17),esk16_2(X16,X17))
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( member(esk20_2(X16,X17),X16)
        | ~ apply(X17,esk17_2(X16,X17),esk16_2(X16,X17))
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( apply(X17,esk18_2(X16,X17),esk19_2(X16,X17))
        | ~ apply(X17,esk17_2(X16,X17),esk16_2(X16,X17))
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( apply(X17,esk19_2(X16,X17),esk20_2(X16,X17))
        | ~ apply(X17,esk17_2(X16,X17),esk16_2(X16,X17))
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( ~ apply(X17,esk18_2(X16,X17),esk20_2(X16,X17))
        | ~ apply(X17,esk17_2(X16,X17),esk16_2(X16,X17))
        | ~ apply(X17,esk15_2(X16,X17),esk15_2(X16,X17))
        | epred1_2(X17,X16) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])])]) ).

fof(c_0_35,plain,
    ! [X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ( ~ member(X10,X9)
        | apply(X8,X10,X10)
        | ~ pre_order(X8,X9) )
      & ( ~ member(X11,X9)
        | ~ member(X12,X9)
        | ~ member(X13,X9)
        | ~ apply(X8,X11,X12)
        | ~ apply(X8,X12,X13)
        | apply(X8,X11,X13)
        | ~ pre_order(X8,X9) )
      & ( member(esk12_2(X14,X15),X15)
        | member(esk11_2(X14,X15),X15)
        | pre_order(X14,X15) )
      & ( member(esk13_2(X14,X15),X15)
        | member(esk11_2(X14,X15),X15)
        | pre_order(X14,X15) )
      & ( member(esk14_2(X14,X15),X15)
        | member(esk11_2(X14,X15),X15)
        | pre_order(X14,X15) )
      & ( apply(X14,esk12_2(X14,X15),esk13_2(X14,X15))
        | member(esk11_2(X14,X15),X15)
        | pre_order(X14,X15) )
      & ( apply(X14,esk13_2(X14,X15),esk14_2(X14,X15))
        | member(esk11_2(X14,X15),X15)
        | pre_order(X14,X15) )
      & ( ~ apply(X14,esk12_2(X14,X15),esk14_2(X14,X15))
        | member(esk11_2(X14,X15),X15)
        | pre_order(X14,X15) )
      & ( member(esk12_2(X14,X15),X15)
        | ~ apply(X14,esk11_2(X14,X15),esk11_2(X14,X15))
        | pre_order(X14,X15) )
      & ( member(esk13_2(X14,X15),X15)
        | ~ apply(X14,esk11_2(X14,X15),esk11_2(X14,X15))
        | pre_order(X14,X15) )
      & ( member(esk14_2(X14,X15),X15)
        | ~ apply(X14,esk11_2(X14,X15),esk11_2(X14,X15))
        | pre_order(X14,X15) )
      & ( apply(X14,esk12_2(X14,X15),esk13_2(X14,X15))
        | ~ apply(X14,esk11_2(X14,X15),esk11_2(X14,X15))
        | pre_order(X14,X15) )
      & ( apply(X14,esk13_2(X14,X15),esk14_2(X14,X15))
        | ~ apply(X14,esk11_2(X14,X15),esk11_2(X14,X15))
        | pre_order(X14,X15) )
      & ( ~ apply(X14,esk12_2(X14,X15),esk14_2(X14,X15))
        | ~ apply(X14,esk11_2(X14,X15),esk11_2(X14,X15))
        | pre_order(X14,X15) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])])]) ).

fof(c_0_36,plain,
    ! [X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ( member(X11,X9)
        | ~ member(X11,equivalence_class(X10,X9,X8)) )
      & ( apply(X8,X10,X11)
        | ~ member(X11,equivalence_class(X10,X9,X8)) )
      & ( ~ member(X15,X13)
        | ~ apply(X12,X14,X15)
        | member(X15,equivalence_class(X14,X13,X12)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])]) ).

fof(c_0_37,plain,
    ! [X7,X8,X9,X10,X12,X13,X14,X15,X16,X19] :
      ( ( ~ member(X9,X7)
        | subset(X9,X8)
        | ~ partition(X7,X8) )
      & ( member(esk5_3(X7,X8,X10),X7)
        | ~ member(X10,X8)
        | ~ partition(X7,X8) )
      & ( member(X10,esk5_3(X7,X8,X10))
        | ~ member(X10,X8)
        | ~ partition(X7,X8) )
      & ( ~ member(X12,X7)
        | ~ member(X13,X7)
        | ~ member(X14,X12)
        | ~ member(X14,X13)
        | X12 = X13
        | ~ partition(X7,X8) )
      & ( member(esk8_2(X15,X16),X15)
        | member(esk7_2(X15,X16),X16)
        | member(esk6_2(X15,X16),X15)
        | partition(X15,X16) )
      & ( member(esk9_2(X15,X16),X15)
        | member(esk7_2(X15,X16),X16)
        | member(esk6_2(X15,X16),X15)
        | partition(X15,X16) )
      & ( member(esk10_2(X15,X16),esk8_2(X15,X16))
        | member(esk7_2(X15,X16),X16)
        | member(esk6_2(X15,X16),X15)
        | partition(X15,X16) )
      & ( member(esk10_2(X15,X16),esk9_2(X15,X16))
        | member(esk7_2(X15,X16),X16)
        | member(esk6_2(X15,X16),X15)
        | partition(X15,X16) )
      & ( esk8_2(X15,X16) != esk9_2(X15,X16)
        | member(esk7_2(X15,X16),X16)
        | member(esk6_2(X15,X16),X15)
        | partition(X15,X16) )
      & ( member(esk8_2(X15,X16),X15)
        | ~ member(X19,X15)
        | ~ member(esk7_2(X15,X16),X19)
        | member(esk6_2(X15,X16),X15)
        | partition(X15,X16) )
      & ( member(esk9_2(X15,X16),X15)
        | ~ member(X19,X15)
        | ~ member(esk7_2(X15,X16),X19)
        | member(esk6_2(X15,X16),X15)
        | partition(X15,X16) )
      & ( member(esk10_2(X15,X16),esk8_2(X15,X16))
        | ~ member(X19,X15)
        | ~ member(esk7_2(X15,X16),X19)
        | member(esk6_2(X15,X16),X15)
        | partition(X15,X16) )
      & ( member(esk10_2(X15,X16),esk9_2(X15,X16))
        | ~ member(X19,X15)
        | ~ member(esk7_2(X15,X16),X19)
        | member(esk6_2(X15,X16),X15)
        | partition(X15,X16) )
      & ( esk8_2(X15,X16) != esk9_2(X15,X16)
        | ~ member(X19,X15)
        | ~ member(esk7_2(X15,X16),X19)
        | member(esk6_2(X15,X16),X15)
        | partition(X15,X16) )
      & ( member(esk8_2(X15,X16),X15)
        | member(esk7_2(X15,X16),X16)
        | ~ subset(esk6_2(X15,X16),X16)
        | partition(X15,X16) )
      & ( member(esk9_2(X15,X16),X15)
        | member(esk7_2(X15,X16),X16)
        | ~ subset(esk6_2(X15,X16),X16)
        | partition(X15,X16) )
      & ( member(esk10_2(X15,X16),esk8_2(X15,X16))
        | member(esk7_2(X15,X16),X16)
        | ~ subset(esk6_2(X15,X16),X16)
        | partition(X15,X16) )
      & ( member(esk10_2(X15,X16),esk9_2(X15,X16))
        | member(esk7_2(X15,X16),X16)
        | ~ subset(esk6_2(X15,X16),X16)
        | partition(X15,X16) )
      & ( esk8_2(X15,X16) != esk9_2(X15,X16)
        | member(esk7_2(X15,X16),X16)
        | ~ subset(esk6_2(X15,X16),X16)
        | partition(X15,X16) )
      & ( member(esk8_2(X15,X16),X15)
        | ~ member(X19,X15)
        | ~ member(esk7_2(X15,X16),X19)
        | ~ subset(esk6_2(X15,X16),X16)
        | partition(X15,X16) )
      & ( member(esk9_2(X15,X16),X15)
        | ~ member(X19,X15)
        | ~ member(esk7_2(X15,X16),X19)
        | ~ subset(esk6_2(X15,X16),X16)
        | partition(X15,X16) )
      & ( member(esk10_2(X15,X16),esk8_2(X15,X16))
        | ~ member(X19,X15)
        | ~ member(esk7_2(X15,X16),X19)
        | ~ subset(esk6_2(X15,X16),X16)
        | partition(X15,X16) )
      & ( member(esk10_2(X15,X16),esk9_2(X15,X16))
        | ~ member(X19,X15)
        | ~ member(esk7_2(X15,X16),X19)
        | ~ subset(esk6_2(X15,X16),X16)
        | partition(X15,X16) )
      & ( esk8_2(X15,X16) != esk9_2(X15,X16)
        | ~ member(X19,X15)
        | ~ member(esk7_2(X15,X16),X19)
        | ~ subset(esk6_2(X15,X16),X16)
        | partition(X15,X16) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])])]) ).

fof(c_0_38,plain,
    ! [X4,X5,X6,X7,X8,X9] :
      ( ( ~ member(X4,union(X5,X6))
        | member(X4,X5)
        | member(X4,X6) )
      & ( ~ member(X7,X8)
        | member(X7,union(X8,X9)) )
      & ( ~ member(X7,X9)
        | member(X7,union(X8,X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])])]) ).

fof(c_0_39,plain,
    ! [X5,X6,X7,X8,X9,X10] :
      ( ( member(X5,X7)
        | ~ member(X5,difference(X7,X6)) )
      & ( ~ member(X5,X6)
        | ~ member(X5,difference(X7,X6)) )
      & ( ~ member(X8,X10)
        | member(X8,X9)
        | member(X8,difference(X10,X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])])]) ).

fof(c_0_40,plain,
    ! [X4,X5,X6,X7,X8,X9] :
      ( ( member(X4,X5)
        | ~ member(X4,intersection(X5,X6)) )
      & ( member(X4,X6)
        | ~ member(X4,intersection(X5,X6)) )
      & ( ~ member(X7,X8)
        | ~ member(X7,X9)
        | member(X7,intersection(X8,X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])]) ).

fof(c_0_41,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ( ~ member(X6,product(X7))
        | ~ member(X8,X7)
        | member(X6,X8) )
      & ( member(esk3_2(X9,X10),X10)
        | member(X9,product(X10)) )
      & ( ~ member(X9,esk3_2(X9,X10))
        | member(X9,product(X10)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])])])]) ).

fof(c_0_42,plain,
    ! [X4,X5,X6,X7,X8] :
      ( ( ~ subset(X4,X5)
        | ~ member(X6,X4)
        | member(X6,X5) )
      & ( member(esk1_2(X7,X8),X7)
        | subset(X7,X8) )
      & ( ~ member(esk1_2(X7,X8),X8)
        | subset(X7,X8) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])])])]) ).

fof(c_0_43,plain,
    ! [X6,X7,X9,X10,X11] :
      ( ( member(esk2_2(X6,X7),X7)
        | ~ member(X6,sum(X7)) )
      & ( member(X6,esk2_2(X6,X7))
        | ~ member(X6,sum(X7)) )
      & ( ~ member(X11,X10)
        | ~ member(X9,X11)
        | member(X9,sum(X10)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])])]) ).

fof(c_0_44,plain,
    ! [X4,X5,X6,X7,X8] :
      ( ( ~ disjoint(X4,X5)
        | ~ member(X6,X4)
        | ~ member(X6,X5) )
      & ( member(esk4_2(X7,X8),X7)
        | disjoint(X7,X8) )
      & ( member(esk4_2(X7,X8),X8)
        | disjoint(X7,X8) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])])]) ).

fof(c_0_45,plain,
    ! [X4,X5,X6,X7,X8,X9] :
      ( ( ~ member(X4,unordered_pair(X5,X6))
        | X4 = X5
        | X4 = X6 )
      & ( X7 != X8
        | member(X7,unordered_pair(X8,X9)) )
      & ( X7 != X9
        | member(X7,unordered_pair(X8,X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])]) ).

fof(c_0_46,plain,
    ! [X3,X4,X5,X6] :
      ( ( subset(X3,X4)
        | ~ equal_set(X3,X4) )
      & ( subset(X4,X3)
        | ~ equal_set(X3,X4) )
      & ( ~ subset(X5,X6)
        | ~ subset(X6,X5)
        | equal_set(X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])]) ).

fof(c_0_47,plain,
    ! [X4,X5,X6,X7] :
      ( ( ~ member(X4,power_set(X5))
        | subset(X4,X5) )
      & ( ~ subset(X6,X7)
        | member(X6,power_set(X7)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])]) ).

fof(c_0_48,plain,
    ! [X8,X9,X10,X11] :
      ( ( ~ equivalence(X9,X8)
        | epred1_2(X9,X8) )
      & ( ~ epred1_2(X11,X10)
        | equivalence(X11,X10) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])]) ).

fof(c_0_49,plain,
    ! [X4,X5,X6,X7] :
      ( ( ~ member(X4,singleton(X5))
        | X4 = X5 )
      & ( X6 != X7
        | member(X6,singleton(X7)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])]) ).

fof(c_0_50,plain,
    ! [X4] : ~ member(X4,empty_set),
    inference(variable_rename,[status(thm)],[c_0_33]) ).

cnf(c_0_51,plain,
    ( epred1_2(X1,X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk20_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_52,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk20_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_53,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_54,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_55,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_56,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_57,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk20_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_58,plain,
    ( epred1_2(X1,X2)
    | member(esk16_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk20_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_59,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk20_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_60,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_61,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_62,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_63,plain,
    ( pre_order(X1,X2)
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2))
    | ~ apply(X1,esk12_2(X1,X2),esk14_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_64,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk20_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_65,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_66,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_67,plain,
    ( epred1_2(X1,X2)
    | member(esk16_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_68,plain,
    ( epred1_2(X1,X2)
    | member(esk16_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_69,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_70,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_71,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | member(esk18_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_72,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | member(esk19_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_73,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_74,plain,
    ( apply(X1,X3,X4)
    | ~ epred1_2(X1,X2)
    | ~ apply(X1,X5,X4)
    | ~ apply(X1,X3,X5)
    | ~ member(X4,X2)
    | ~ member(X5,X2)
    | ~ member(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_75,plain,
    ( apply(X1,X3,X4)
    | ~ pre_order(X1,X2)
    | ~ apply(X1,X5,X4)
    | ~ apply(X1,X3,X5)
    | ~ member(X4,X2)
    | ~ member(X5,X2)
    | ~ member(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_76,plain,
    ( pre_order(X1,X2)
    | apply(X1,esk12_2(X1,X2),esk13_2(X1,X2))
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_77,plain,
    ( pre_order(X1,X2)
    | apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_78,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_79,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_80,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk16_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk20_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_81,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk17_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk20_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_82,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_83,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_84,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_85,plain,
    ( epred1_2(X1,X2)
    | member(esk16_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_86,plain,
    ( epred1_2(X1,X2)
    | member(esk16_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_87,plain,
    ( epred1_2(X1,X2)
    | member(esk16_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_88,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_89,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_90,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_91,plain,
    ( apply(X4,X2,X1)
    | ~ member(X1,equivalence_class(X2,X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_92,plain,
    ( partition(X1,X2)
    | member(esk10_2(X1,X2),esk8_2(X1,X2))
    | ~ subset(esk6_2(X1,X2),X2)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_93,plain,
    ( partition(X1,X2)
    | member(esk10_2(X1,X2),esk9_2(X1,X2))
    | ~ subset(esk6_2(X1,X2),X2)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_94,plain,
    ( member(X1,equivalence_class(X2,X3,X4))
    | ~ apply(X4,X2,X1)
    | ~ member(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_95,plain,
    ( pre_order(X1,X2)
    | member(esk11_2(X1,X2),X2)
    | ~ apply(X1,esk12_2(X1,X2),esk14_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_96,plain,
    ( pre_order(X1,X2)
    | member(esk12_2(X1,X2),X2)
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_97,plain,
    ( pre_order(X1,X2)
    | member(esk13_2(X1,X2),X2)
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_98,plain,
    ( pre_order(X1,X2)
    | member(esk14_2(X1,X2),X2)
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_99,plain,
    ( apply(X1,X3,X4)
    | ~ epred1_2(X1,X2)
    | ~ apply(X1,X4,X3)
    | ~ member(X3,X2)
    | ~ member(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_100,plain,
    ( partition(X1,X2)
    | ~ subset(esk6_2(X1,X2),X2)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ member(X3,X1)
    | esk8_2(X1,X2) != esk9_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_101,plain,
    ( partition(X1,X2)
    | member(esk6_2(X1,X2),X1)
    | member(esk10_2(X1,X2),esk8_2(X1,X2))
    | ~ member(esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_102,plain,
    ( partition(X1,X2)
    | member(esk6_2(X1,X2),X1)
    | member(esk10_2(X1,X2),esk9_2(X1,X2))
    | ~ member(esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_103,plain,
    ( member(X1,X3)
    | ~ member(X1,equivalence_class(X2,X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_104,plain,
    ( partition(X1,X2)
    | member(esk8_2(X1,X2),X1)
    | ~ subset(esk6_2(X1,X2),X2)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_105,plain,
    ( partition(X1,X2)
    | member(esk9_2(X1,X2),X1)
    | ~ subset(esk6_2(X1,X2),X2)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_106,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk16_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_107,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk16_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_108,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_109,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_110,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | member(esk18_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_111,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | member(esk19_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_112,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | member(esk20_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_113,plain,
    ( partition(X1,X2)
    | member(esk6_2(X1,X2),X1)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ member(X3,X1)
    | esk8_2(X1,X2) != esk9_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_114,plain,
    ( partition(X1,X2)
    | member(esk7_2(X1,X2),X2)
    | member(esk10_2(X1,X2),esk8_2(X1,X2))
    | ~ subset(esk6_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_115,plain,
    ( partition(X1,X2)
    | member(esk7_2(X1,X2),X2)
    | member(esk10_2(X1,X2),esk9_2(X1,X2))
    | ~ subset(esk6_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_116,plain,
    ( partition(X1,X2)
    | member(esk6_2(X1,X2),X1)
    | member(esk8_2(X1,X2),X1)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_117,plain,
    ( partition(X1,X2)
    | member(esk6_2(X1,X2),X1)
    | member(esk9_2(X1,X2),X1)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_118,plain,
    ( member(esk5_3(X1,X2,X3),X1)
    | ~ partition(X1,X2)
    | ~ member(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_119,plain,
    ( member(X3,esk5_3(X1,X2,X3))
    | ~ partition(X1,X2)
    | ~ member(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_120,plain,
    ( partition(X1,X2)
    | member(esk7_2(X1,X2),X2)
    | ~ subset(esk6_2(X1,X2),X2)
    | esk8_2(X1,X2) != esk9_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_121,plain,
    ( pre_order(X1,X2)
    | member(esk11_2(X1,X2),X2)
    | apply(X1,esk12_2(X1,X2),esk13_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_122,plain,
    ( pre_order(X1,X2)
    | member(esk11_2(X1,X2),X2)
    | apply(X1,esk13_2(X1,X2),esk14_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_123,plain,
    ( partition(X1,X2)
    | member(esk6_2(X1,X2),X1)
    | member(esk7_2(X1,X2),X2)
    | member(esk10_2(X1,X2),esk8_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_124,plain,
    ( partition(X1,X2)
    | member(esk6_2(X1,X2),X1)
    | member(esk7_2(X1,X2),X2)
    | member(esk10_2(X1,X2),esk9_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_125,plain,
    ( partition(X1,X2)
    | member(esk7_2(X1,X2),X2)
    | member(esk8_2(X1,X2),X1)
    | ~ subset(esk6_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_126,plain,
    ( partition(X1,X2)
    | member(esk7_2(X1,X2),X2)
    | member(esk9_2(X1,X2),X1)
    | ~ subset(esk6_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_127,plain,
    ( partition(X1,X2)
    | member(esk6_2(X1,X2),X1)
    | member(esk7_2(X1,X2),X2)
    | esk8_2(X1,X2) != esk9_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_128,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk16_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_129,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk16_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_130,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk16_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_131,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_132,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_133,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_134,plain,
    ( partition(X1,X2)
    | member(esk6_2(X1,X2),X1)
    | member(esk7_2(X1,X2),X2)
    | member(esk8_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_135,plain,
    ( partition(X1,X2)
    | member(esk6_2(X1,X2),X1)
    | member(esk7_2(X1,X2),X2)
    | member(esk9_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_136,plain,
    ( X3 = X4
    | ~ partition(X1,X2)
    | ~ member(X5,X4)
    | ~ member(X5,X3)
    | ~ member(X4,X1)
    | ~ member(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_137,plain,
    ( apply(X1,X3,X3)
    | ~ epred1_2(X1,X2)
    | ~ member(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_138,plain,
    ( apply(X1,X3,X3)
    | ~ pre_order(X1,X2)
    | ~ member(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_139,plain,
    ( pre_order(X1,X2)
    | member(esk11_2(X1,X2),X2)
    | member(esk12_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_140,plain,
    ( pre_order(X1,X2)
    | member(esk11_2(X1,X2),X2)
    | member(esk13_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_141,plain,
    ( pre_order(X1,X2)
    | member(esk11_2(X1,X2),X2)
    | member(esk14_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_142,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_143,plain,
    ( ~ member(X1,difference(X2,X3))
    | ~ member(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_144,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_145,plain,
    ( member(X1,product(X2))
    | ~ member(X1,esk3_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_146,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_147,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_148,plain,
    ( member(X1,X3)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_149,plain,
    ( subset(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_150,plain,
    ( member(X1,difference(X2,X3))
    | member(X1,X3)
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_151,plain,
    ( member(esk2_2(X1,X2),X2)
    | ~ member(X1,sum(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_152,plain,
    ( member(X1,esk2_2(X1,X2))
    | ~ member(X1,sum(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_153,plain,
    ( member(X1,X2)
    | ~ member(X2,X3)
    | ~ member(X1,product(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_154,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,X3)
    | ~ disjoint(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_155,plain,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_156,plain,
    ( member(X1,sum(X2))
    | ~ member(X1,X3)
    | ~ member(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_157,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_158,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_159,plain,
    ( member(X1,product(X2))
    | member(esk3_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_160,plain,
    ( subset(X3,X2)
    | ~ partition(X1,X2)
    | ~ member(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_161,plain,
    ( equal_set(X1,X2)
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_162,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_163,plain,
    ( disjoint(X1,X2)
    | member(esk4_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_164,plain,
    ( disjoint(X1,X2)
    | member(esk4_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_165,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_166,plain,
    ( subset(X1,X2)
    | ~ member(X1,power_set(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_167,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_168,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_169,plain,
    ( member(X1,power_set(X2))
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_170,plain,
    ( epred1_2(X1,X2)
    | ~ equivalence(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_171,plain,
    ( equivalence(X1,X2)
    | ~ epred1_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_172,plain,
    ( subset(X1,X2)
    | ~ equal_set(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_173,plain,
    ( subset(X2,X1)
    | ~ equal_set(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_174,plain,
    ( X1 = X2
    | ~ member(X1,singleton(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_175,plain,
    ( member(X1,singleton(X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_176,plain,
    ~ member(X1,empty_set),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_177,plain,
    ( epred1_2(X1,X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk20_2(X2,X1)) ),
    c_0_51,
    [final] ).

cnf(c_0_178,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk20_2(X2,X1)) ),
    c_0_52,
    [final] ).

cnf(c_0_179,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1)) ),
    c_0_53,
    [final] ).

cnf(c_0_180,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1)) ),
    c_0_54,
    [final] ).

cnf(c_0_181,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    c_0_55,
    [final] ).

cnf(c_0_182,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    c_0_56,
    [final] ).

cnf(c_0_183,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk20_2(X2,X1)) ),
    c_0_57,
    [final] ).

cnf(c_0_184,plain,
    ( epred1_2(X1,X2)
    | member(esk16_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk20_2(X2,X1)) ),
    c_0_58,
    [final] ).

cnf(c_0_185,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk20_2(X2,X1)) ),
    c_0_59,
    [final] ).

cnf(c_0_186,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1)) ),
    c_0_60,
    [final] ).

cnf(c_0_187,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1)) ),
    c_0_61,
    [final] ).

cnf(c_0_188,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1)) ),
    c_0_62,
    [final] ).

cnf(c_0_189,plain,
    ( pre_order(X1,X2)
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2))
    | ~ apply(X1,esk12_2(X1,X2),esk14_2(X1,X2)) ),
    c_0_63,
    [final] ).

cnf(c_0_190,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk20_2(X2,X1)) ),
    c_0_64,
    [final] ).

cnf(c_0_191,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1)) ),
    c_0_65,
    [final] ).

cnf(c_0_192,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1)) ),
    c_0_66,
    [final] ).

cnf(c_0_193,plain,
    ( epred1_2(X1,X2)
    | member(esk16_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    c_0_67,
    [final] ).

cnf(c_0_194,plain,
    ( epred1_2(X1,X2)
    | member(esk16_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    c_0_68,
    [final] ).

cnf(c_0_195,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    c_0_69,
    [final] ).

cnf(c_0_196,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    c_0_70,
    [final] ).

cnf(c_0_197,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | member(esk18_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    c_0_71,
    [final] ).

cnf(c_0_198,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | member(esk19_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    c_0_72,
    [final] ).

cnf(c_0_199,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    c_0_73,
    [final] ).

cnf(c_0_200,plain,
    ( apply(X1,X3,X4)
    | ~ epred1_2(X1,X2)
    | ~ apply(X1,X5,X4)
    | ~ apply(X1,X3,X5)
    | ~ member(X4,X2)
    | ~ member(X5,X2)
    | ~ member(X3,X2) ),
    c_0_74,
    [final] ).

cnf(c_0_201,plain,
    ( apply(X1,X3,X4)
    | ~ pre_order(X1,X2)
    | ~ apply(X1,X5,X4)
    | ~ apply(X1,X3,X5)
    | ~ member(X4,X2)
    | ~ member(X5,X2)
    | ~ member(X3,X2) ),
    c_0_75,
    [final] ).

cnf(c_0_202,plain,
    ( pre_order(X1,X2)
    | apply(X1,esk12_2(X1,X2),esk13_2(X1,X2))
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
    c_0_76,
    [final] ).

cnf(c_0_203,plain,
    ( pre_order(X1,X2)
    | apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
    c_0_77,
    [final] ).

cnf(c_0_204,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1)) ),
    c_0_78,
    [final] ).

cnf(c_0_205,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1)) ),
    c_0_79,
    [final] ).

cnf(c_0_206,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk16_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk20_2(X2,X1)) ),
    c_0_80,
    [final] ).

cnf(c_0_207,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk17_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk20_2(X2,X1)) ),
    c_0_81,
    [final] ).

cnf(c_0_208,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1)) ),
    c_0_82,
    [final] ).

cnf(c_0_209,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1)) ),
    c_0_83,
    [final] ).

cnf(c_0_210,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk16_2(X2,X1)) ),
    c_0_84,
    [final] ).

cnf(c_0_211,plain,
    ( epred1_2(X1,X2)
    | member(esk16_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    c_0_85,
    [final] ).

cnf(c_0_212,plain,
    ( epred1_2(X1,X2)
    | member(esk16_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    c_0_86,
    [final] ).

cnf(c_0_213,plain,
    ( epred1_2(X1,X2)
    | member(esk16_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    c_0_87,
    [final] ).

cnf(c_0_214,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    c_0_88,
    [final] ).

cnf(c_0_215,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    c_0_89,
    [final] ).

cnf(c_0_216,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk15_2(X2,X1),esk15_2(X2,X1)) ),
    c_0_90,
    [final] ).

cnf(c_0_217,plain,
    ( apply(X4,X2,X1)
    | ~ member(X1,equivalence_class(X2,X3,X4)) ),
    c_0_91,
    [final] ).

cnf(c_0_218,plain,
    ( partition(X1,X2)
    | member(esk10_2(X1,X2),esk8_2(X1,X2))
    | ~ subset(esk6_2(X1,X2),X2)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    c_0_92,
    [final] ).

cnf(c_0_219,plain,
    ( partition(X1,X2)
    | member(esk10_2(X1,X2),esk9_2(X1,X2))
    | ~ subset(esk6_2(X1,X2),X2)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    c_0_93,
    [final] ).

cnf(c_0_220,plain,
    ( member(X1,equivalence_class(X2,X3,X4))
    | ~ apply(X4,X2,X1)
    | ~ member(X1,X3) ),
    c_0_94,
    [final] ).

cnf(c_0_221,plain,
    ( pre_order(X1,X2)
    | member(esk11_2(X1,X2),X2)
    | ~ apply(X1,esk12_2(X1,X2),esk14_2(X1,X2)) ),
    c_0_95,
    [final] ).

cnf(c_0_222,plain,
    ( pre_order(X1,X2)
    | member(esk12_2(X1,X2),X2)
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
    c_0_96,
    [final] ).

cnf(c_0_223,plain,
    ( pre_order(X1,X2)
    | member(esk13_2(X1,X2),X2)
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
    c_0_97,
    [final] ).

cnf(c_0_224,plain,
    ( pre_order(X1,X2)
    | member(esk14_2(X1,X2),X2)
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
    c_0_98,
    [final] ).

cnf(c_0_225,plain,
    ( apply(X1,X3,X4)
    | ~ epred1_2(X1,X2)
    | ~ apply(X1,X4,X3)
    | ~ member(X3,X2)
    | ~ member(X4,X2) ),
    c_0_99,
    [final] ).

cnf(c_0_226,plain,
    ( partition(X1,X2)
    | ~ subset(esk6_2(X1,X2),X2)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ member(X3,X1)
    | esk9_2(X1,X2) != esk8_2(X1,X2) ),
    c_0_100,
    [final] ).

cnf(c_0_227,plain,
    ( partition(X1,X2)
    | member(esk6_2(X1,X2),X1)
    | member(esk10_2(X1,X2),esk8_2(X1,X2))
    | ~ member(esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    c_0_101,
    [final] ).

cnf(c_0_228,plain,
    ( partition(X1,X2)
    | member(esk6_2(X1,X2),X1)
    | member(esk10_2(X1,X2),esk9_2(X1,X2))
    | ~ member(esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    c_0_102,
    [final] ).

cnf(c_0_229,plain,
    ( member(X1,X3)
    | ~ member(X1,equivalence_class(X2,X3,X4)) ),
    c_0_103,
    [final] ).

cnf(c_0_230,plain,
    ( partition(X1,X2)
    | member(esk8_2(X1,X2),X1)
    | ~ subset(esk6_2(X1,X2),X2)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    c_0_104,
    [final] ).

cnf(c_0_231,plain,
    ( partition(X1,X2)
    | member(esk9_2(X1,X2),X1)
    | ~ subset(esk6_2(X1,X2),X2)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    c_0_105,
    [final] ).

cnf(c_0_232,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk16_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1)) ),
    c_0_106,
    [final] ).

cnf(c_0_233,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk16_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1)) ),
    c_0_107,
    [final] ).

cnf(c_0_234,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1)) ),
    c_0_108,
    [final] ).

cnf(c_0_235,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1)) ),
    c_0_109,
    [final] ).

cnf(c_0_236,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | member(esk18_2(X2,X1),X2) ),
    c_0_110,
    [final] ).

cnf(c_0_237,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | member(esk19_2(X2,X1),X2) ),
    c_0_111,
    [final] ).

cnf(c_0_238,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | apply(X1,esk16_2(X2,X1),esk17_2(X2,X1))
    | member(esk20_2(X2,X1),X2) ),
    c_0_112,
    [final] ).

cnf(c_0_239,plain,
    ( partition(X1,X2)
    | member(esk6_2(X1,X2),X1)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ member(X3,X1)
    | esk9_2(X1,X2) != esk8_2(X1,X2) ),
    c_0_113,
    [final] ).

cnf(c_0_240,plain,
    ( partition(X1,X2)
    | member(esk7_2(X1,X2),X2)
    | member(esk10_2(X1,X2),esk8_2(X1,X2))
    | ~ subset(esk6_2(X1,X2),X2) ),
    c_0_114,
    [final] ).

cnf(c_0_241,plain,
    ( partition(X1,X2)
    | member(esk7_2(X1,X2),X2)
    | member(esk10_2(X1,X2),esk9_2(X1,X2))
    | ~ subset(esk6_2(X1,X2),X2) ),
    c_0_115,
    [final] ).

cnf(c_0_242,plain,
    ( partition(X1,X2)
    | member(esk6_2(X1,X2),X1)
    | member(esk8_2(X1,X2),X1)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    c_0_116,
    [final] ).

cnf(c_0_243,plain,
    ( partition(X1,X2)
    | member(esk6_2(X1,X2),X1)
    | member(esk9_2(X1,X2),X1)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    c_0_117,
    [final] ).

cnf(c_0_244,plain,
    ( member(esk5_3(X1,X2,X3),X1)
    | ~ partition(X1,X2)
    | ~ member(X3,X2) ),
    c_0_118,
    [final] ).

cnf(c_0_245,plain,
    ( member(X3,esk5_3(X1,X2,X3))
    | ~ partition(X1,X2)
    | ~ member(X3,X2) ),
    c_0_119,
    [final] ).

cnf(c_0_246,plain,
    ( partition(X1,X2)
    | member(esk7_2(X1,X2),X2)
    | ~ subset(esk6_2(X1,X2),X2)
    | esk9_2(X1,X2) != esk8_2(X1,X2) ),
    c_0_120,
    [final] ).

cnf(c_0_247,plain,
    ( pre_order(X1,X2)
    | member(esk11_2(X1,X2),X2)
    | apply(X1,esk12_2(X1,X2),esk13_2(X1,X2)) ),
    c_0_121,
    [final] ).

cnf(c_0_248,plain,
    ( pre_order(X1,X2)
    | member(esk11_2(X1,X2),X2)
    | apply(X1,esk13_2(X1,X2),esk14_2(X1,X2)) ),
    c_0_122,
    [final] ).

cnf(c_0_249,plain,
    ( partition(X1,X2)
    | member(esk6_2(X1,X2),X1)
    | member(esk7_2(X1,X2),X2)
    | member(esk10_2(X1,X2),esk8_2(X1,X2)) ),
    c_0_123,
    [final] ).

cnf(c_0_250,plain,
    ( partition(X1,X2)
    | member(esk6_2(X1,X2),X1)
    | member(esk7_2(X1,X2),X2)
    | member(esk10_2(X1,X2),esk9_2(X1,X2)) ),
    c_0_124,
    [final] ).

cnf(c_0_251,plain,
    ( partition(X1,X2)
    | member(esk7_2(X1,X2),X2)
    | member(esk8_2(X1,X2),X1)
    | ~ subset(esk6_2(X1,X2),X2) ),
    c_0_125,
    [final] ).

cnf(c_0_252,plain,
    ( partition(X1,X2)
    | member(esk7_2(X1,X2),X2)
    | member(esk9_2(X1,X2),X1)
    | ~ subset(esk6_2(X1,X2),X2) ),
    c_0_126,
    [final] ).

cnf(c_0_253,plain,
    ( partition(X1,X2)
    | member(esk6_2(X1,X2),X1)
    | member(esk7_2(X1,X2),X2)
    | esk9_2(X1,X2) != esk8_2(X1,X2) ),
    c_0_127,
    [final] ).

cnf(c_0_254,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk16_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2) ),
    c_0_128,
    [final] ).

cnf(c_0_255,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk16_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2) ),
    c_0_129,
    [final] ).

cnf(c_0_256,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk16_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2) ),
    c_0_130,
    [final] ).

cnf(c_0_257,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2) ),
    c_0_131,
    [final] ).

cnf(c_0_258,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2) ),
    c_0_132,
    [final] ).

cnf(c_0_259,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2) ),
    c_0_133,
    [final] ).

cnf(c_0_260,plain,
    ( partition(X1,X2)
    | member(esk6_2(X1,X2),X1)
    | member(esk7_2(X1,X2),X2)
    | member(esk8_2(X1,X2),X1) ),
    c_0_134,
    [final] ).

cnf(c_0_261,plain,
    ( partition(X1,X2)
    | member(esk6_2(X1,X2),X1)
    | member(esk7_2(X1,X2),X2)
    | member(esk9_2(X1,X2),X1) ),
    c_0_135,
    [final] ).

cnf(c_0_262,plain,
    ( X3 = X4
    | ~ partition(X1,X2)
    | ~ member(X5,X4)
    | ~ member(X5,X3)
    | ~ member(X4,X1)
    | ~ member(X3,X1) ),
    c_0_136,
    [final] ).

cnf(c_0_263,plain,
    ( apply(X1,X3,X3)
    | ~ epred1_2(X1,X2)
    | ~ member(X3,X2) ),
    c_0_137,
    [final] ).

cnf(c_0_264,plain,
    ( apply(X1,X3,X3)
    | ~ pre_order(X1,X2)
    | ~ member(X3,X2) ),
    c_0_138,
    [final] ).

cnf(c_0_265,plain,
    ( pre_order(X1,X2)
    | member(esk11_2(X1,X2),X2)
    | member(esk12_2(X1,X2),X2) ),
    c_0_139,
    [final] ).

cnf(c_0_266,plain,
    ( pre_order(X1,X2)
    | member(esk11_2(X1,X2),X2)
    | member(esk13_2(X1,X2),X2) ),
    c_0_140,
    [final] ).

cnf(c_0_267,plain,
    ( pre_order(X1,X2)
    | member(esk11_2(X1,X2),X2)
    | member(esk14_2(X1,X2),X2) ),
    c_0_141,
    [final] ).

cnf(c_0_268,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    c_0_142,
    [final] ).

cnf(c_0_269,plain,
    ( ~ member(X1,difference(X2,X3))
    | ~ member(X1,X3) ),
    c_0_143,
    [final] ).

cnf(c_0_270,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    c_0_144,
    [final] ).

cnf(c_0_271,plain,
    ( member(X1,product(X2))
    | ~ member(X1,esk3_2(X1,X2)) ),
    c_0_145,
    [final] ).

cnf(c_0_272,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    c_0_146,
    [final] ).

cnf(c_0_273,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    c_0_147,
    [final] ).

cnf(c_0_274,plain,
    ( member(X1,X3)
    | ~ member(X1,intersection(X2,X3)) ),
    c_0_148,
    [final] ).

cnf(c_0_275,plain,
    ( subset(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    c_0_149,
    [final] ).

cnf(c_0_276,plain,
    ( member(X1,difference(X2,X3))
    | member(X1,X3)
    | ~ member(X1,X2) ),
    c_0_150,
    [final] ).

cnf(c_0_277,plain,
    ( member(esk2_2(X1,X2),X2)
    | ~ member(X1,sum(X2)) ),
    c_0_151,
    [final] ).

cnf(c_0_278,plain,
    ( member(X1,esk2_2(X1,X2))
    | ~ member(X1,sum(X2)) ),
    c_0_152,
    [final] ).

cnf(c_0_279,plain,
    ( member(X1,X2)
    | ~ member(X2,X3)
    | ~ member(X1,product(X3)) ),
    c_0_153,
    [final] ).

cnf(c_0_280,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,X3)
    | ~ disjoint(X3,X2) ),
    c_0_154,
    [final] ).

cnf(c_0_281,plain,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X3,X2)) ),
    c_0_155,
    [final] ).

cnf(c_0_282,plain,
    ( member(X1,sum(X2))
    | ~ member(X1,X3)
    | ~ member(X3,X2) ),
    c_0_156,
    [final] ).

cnf(c_0_283,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    c_0_157,
    [final] ).

cnf(c_0_284,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    c_0_158,
    [final] ).

cnf(c_0_285,plain,
    ( member(X1,product(X2))
    | member(esk3_2(X1,X2),X2) ),
    c_0_159,
    [final] ).

cnf(c_0_286,plain,
    ( subset(X3,X2)
    | ~ partition(X1,X2)
    | ~ member(X3,X1) ),
    c_0_160,
    [final] ).

cnf(c_0_287,plain,
    ( equal_set(X1,X2)
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    c_0_161,
    [final] ).

cnf(c_0_288,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    c_0_162,
    [final] ).

cnf(c_0_289,plain,
    ( disjoint(X1,X2)
    | member(esk4_2(X1,X2),X1) ),
    c_0_163,
    [final] ).

cnf(c_0_290,plain,
    ( disjoint(X1,X2)
    | member(esk4_2(X1,X2),X2) ),
    c_0_164,
    [final] ).

cnf(c_0_291,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    c_0_165,
    [final] ).

cnf(c_0_292,plain,
    ( subset(X1,X2)
    | ~ member(X1,power_set(X2)) ),
    c_0_166,
    [final] ).

cnf(c_0_293,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X2 ),
    c_0_167,
    [final] ).

cnf(c_0_294,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X3 ),
    c_0_168,
    [final] ).

cnf(c_0_295,plain,
    ( member(X1,power_set(X2))
    | ~ subset(X1,X2) ),
    c_0_169,
    [final] ).

cnf(c_0_296,plain,
    ( epred1_2(X1,X2)
    | ~ equivalence(X1,X2) ),
    c_0_170,
    [final] ).

cnf(c_0_297,plain,
    ( equivalence(X1,X2)
    | ~ epred1_2(X1,X2) ),
    c_0_171,
    [final] ).

cnf(c_0_298,plain,
    ( subset(X1,X2)
    | ~ equal_set(X1,X2) ),
    c_0_172,
    [final] ).

cnf(c_0_299,plain,
    ( subset(X2,X1)
    | ~ equal_set(X1,X2) ),
    c_0_173,
    [final] ).

cnf(c_0_300,plain,
    ( X1 = X2
    | ~ member(X1,singleton(X2)) ),
    c_0_174,
    [final] ).

cnf(c_0_301,plain,
    ( member(X1,singleton(X2))
    | X1 != X2 ),
    c_0_175,
    [final] ).

cnf(c_0_302,plain,
    ~ member(X1,empty_set),
    c_0_176,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_177_0,axiom,
    ( epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1))
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_177]) ).

cnf(c_0_177_1,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1))
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_177]) ).

cnf(c_0_177_2,axiom,
    ( ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_177]) ).

cnf(c_0_177_3,axiom,
    ( ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1))
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_177]) ).

cnf(c_0_178_0,axiom,
    ( epred1_2(X1,X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_178]) ).

cnf(c_0_178_1,axiom,
    ( apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_178]) ).

cnf(c_0_178_2,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_178]) ).

cnf(c_0_178_3,axiom,
    ( ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_178]) ).

cnf(c_0_179_0,axiom,
    ( epred1_2(X1,X2)
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_179]) ).

cnf(c_0_179_1,axiom,
    ( apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_179]) ).

cnf(c_0_179_2,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_179]) ).

cnf(c_0_179_3,axiom,
    ( ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_179]) ).

cnf(c_0_180_0,axiom,
    ( epred1_2(X1,X2)
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_180]) ).

cnf(c_0_180_1,axiom,
    ( apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_180]) ).

cnf(c_0_180_2,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_180]) ).

cnf(c_0_180_3,axiom,
    ( ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_180]) ).

cnf(c_0_181_0,axiom,
    ( epred1_2(X1,X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_181_1,axiom,
    ( apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | epred1_2(X1,X2)
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_181_2,axiom,
    ( apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_181_3,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_182_0,axiom,
    ( epred1_2(X1,X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_182]) ).

cnf(c_0_182_1,axiom,
    ( apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | epred1_2(X1,X2)
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_182]) ).

cnf(c_0_182_2,axiom,
    ( apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_182]) ).

cnf(c_0_182_3,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_182]) ).

cnf(c_0_183_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1))
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_183]) ).

cnf(c_0_183_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1))
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_183]) ).

cnf(c_0_183_2,axiom,
    ( ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1))
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_183]) ).

cnf(c_0_183_3,axiom,
    ( ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1))
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1))
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_183]) ).

cnf(c_0_184_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_184]) ).

cnf(c_0_184_1,axiom,
    ( member(sk1_esk16_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_184]) ).

cnf(c_0_184_2,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | member(sk1_esk16_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_184]) ).

cnf(c_0_184_3,axiom,
    ( ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | member(sk1_esk16_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_184]) ).

cnf(c_0_185_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_185]) ).

cnf(c_0_185_1,axiom,
    ( member(sk1_esk17_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_185]) ).

cnf(c_0_185_2,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | member(sk1_esk17_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_185]) ).

cnf(c_0_185_3,axiom,
    ( ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | member(sk1_esk17_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_185]) ).

cnf(c_0_186_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk18_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_186]) ).

cnf(c_0_186_1,axiom,
    ( member(sk1_esk18_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_186]) ).

cnf(c_0_186_2,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | member(sk1_esk18_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_186]) ).

cnf(c_0_186_3,axiom,
    ( ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | member(sk1_esk18_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_186]) ).

cnf(c_0_187_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk19_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_187]) ).

cnf(c_0_187_1,axiom,
    ( member(sk1_esk19_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_187]) ).

cnf(c_0_187_2,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | member(sk1_esk19_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_187]) ).

cnf(c_0_187_3,axiom,
    ( ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | member(sk1_esk19_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_187]) ).

cnf(c_0_188_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk20_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_188]) ).

cnf(c_0_188_1,axiom,
    ( member(sk1_esk20_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_188]) ).

cnf(c_0_188_2,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | member(sk1_esk20_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_188]) ).

cnf(c_0_188_3,axiom,
    ( ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | member(sk1_esk20_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_188]) ).

cnf(c_0_189_0,axiom,
    ( pre_order(X1,X2)
    | ~ apply(X1,sk1_esk11_2(X1,X2),sk1_esk11_2(X1,X2))
    | ~ apply(X1,sk1_esk12_2(X1,X2),sk1_esk14_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_189]) ).

cnf(c_0_189_1,axiom,
    ( ~ apply(X1,sk1_esk11_2(X1,X2),sk1_esk11_2(X1,X2))
    | pre_order(X1,X2)
    | ~ apply(X1,sk1_esk12_2(X1,X2),sk1_esk14_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_189]) ).

cnf(c_0_189_2,axiom,
    ( ~ apply(X1,sk1_esk12_2(X1,X2),sk1_esk14_2(X1,X2))
    | ~ apply(X1,sk1_esk11_2(X1,X2),sk1_esk11_2(X1,X2))
    | pre_order(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_189]) ).

cnf(c_0_190_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_190]) ).

cnf(c_0_190_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_190]) ).

cnf(c_0_190_2,axiom,
    ( apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_190]) ).

cnf(c_0_190_3,axiom,
    ( ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1))
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_190]) ).

cnf(c_0_191_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_191]) ).

cnf(c_0_191_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_191]) ).

cnf(c_0_191_2,axiom,
    ( apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_191]) ).

cnf(c_0_191_3,axiom,
    ( ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1))
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_191]) ).

cnf(c_0_192_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_192]) ).

cnf(c_0_192_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_192]) ).

cnf(c_0_192_2,axiom,
    ( apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_192]) ).

cnf(c_0_192_3,axiom,
    ( ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1))
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_192]) ).

cnf(c_0_193_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_193]) ).

cnf(c_0_193_1,axiom,
    ( member(sk1_esk16_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_193]) ).

cnf(c_0_193_2,axiom,
    ( apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | member(sk1_esk16_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_193]) ).

cnf(c_0_193_3,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | member(sk1_esk16_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_193]) ).

cnf(c_0_194_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_194]) ).

cnf(c_0_194_1,axiom,
    ( member(sk1_esk16_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_194]) ).

cnf(c_0_194_2,axiom,
    ( apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | member(sk1_esk16_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_194]) ).

cnf(c_0_194_3,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | member(sk1_esk16_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_194]) ).

cnf(c_0_195_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_195]) ).

cnf(c_0_195_1,axiom,
    ( member(sk1_esk17_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_195]) ).

cnf(c_0_195_2,axiom,
    ( apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | member(sk1_esk17_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_195]) ).

cnf(c_0_195_3,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | member(sk1_esk17_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_195]) ).

cnf(c_0_196_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_196]) ).

cnf(c_0_196_1,axiom,
    ( member(sk1_esk17_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_196]) ).

cnf(c_0_196_2,axiom,
    ( apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | member(sk1_esk17_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_196]) ).

cnf(c_0_196_3,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | member(sk1_esk17_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_196]) ).

cnf(c_0_197_0,axiom,
    ( epred1_2(X1,X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | member(sk1_esk18_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_197]) ).

cnf(c_0_197_1,axiom,
    ( apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | epred1_2(X1,X2)
    | member(sk1_esk18_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_197]) ).

cnf(c_0_197_2,axiom,
    ( member(sk1_esk18_2(X2,X1),X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_197]) ).

cnf(c_0_197_3,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | member(sk1_esk18_2(X2,X1),X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_197]) ).

cnf(c_0_198_0,axiom,
    ( epred1_2(X1,X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | member(sk1_esk19_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_198]) ).

cnf(c_0_198_1,axiom,
    ( apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | epred1_2(X1,X2)
    | member(sk1_esk19_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_198]) ).

cnf(c_0_198_2,axiom,
    ( member(sk1_esk19_2(X2,X1),X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_198]) ).

cnf(c_0_198_3,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | member(sk1_esk19_2(X2,X1),X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_198]) ).

cnf(c_0_199_0,axiom,
    ( epred1_2(X1,X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | member(sk1_esk20_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_199]) ).

cnf(c_0_199_1,axiom,
    ( apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | epred1_2(X1,X2)
    | member(sk1_esk20_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_199]) ).

cnf(c_0_199_2,axiom,
    ( member(sk1_esk20_2(X2,X1),X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_199]) ).

cnf(c_0_199_3,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | member(sk1_esk20_2(X2,X1),X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_199]) ).

cnf(c_0_200_0,axiom,
    ( apply(X1,X3,X4)
    | ~ epred1_2(X1,X2)
    | ~ apply(X1,X5,X4)
    | ~ apply(X1,X3,X5)
    | ~ member(X4,X2)
    | ~ member(X5,X2)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_200]) ).

cnf(c_0_200_1,axiom,
    ( ~ epred1_2(X1,X2)
    | apply(X1,X3,X4)
    | ~ apply(X1,X5,X4)
    | ~ apply(X1,X3,X5)
    | ~ member(X4,X2)
    | ~ member(X5,X2)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_200]) ).

cnf(c_0_200_2,axiom,
    ( ~ apply(X1,X5,X4)
    | ~ epred1_2(X1,X2)
    | apply(X1,X3,X4)
    | ~ apply(X1,X3,X5)
    | ~ member(X4,X2)
    | ~ member(X5,X2)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_200]) ).

cnf(c_0_200_3,axiom,
    ( ~ apply(X1,X3,X5)
    | ~ apply(X1,X5,X4)
    | ~ epred1_2(X1,X2)
    | apply(X1,X3,X4)
    | ~ member(X4,X2)
    | ~ member(X5,X2)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_200]) ).

cnf(c_0_200_4,axiom,
    ( ~ member(X4,X2)
    | ~ apply(X1,X3,X5)
    | ~ apply(X1,X5,X4)
    | ~ epred1_2(X1,X2)
    | apply(X1,X3,X4)
    | ~ member(X5,X2)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_200]) ).

cnf(c_0_200_5,axiom,
    ( ~ member(X5,X2)
    | ~ member(X4,X2)
    | ~ apply(X1,X3,X5)
    | ~ apply(X1,X5,X4)
    | ~ epred1_2(X1,X2)
    | apply(X1,X3,X4)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_200]) ).

cnf(c_0_200_6,axiom,
    ( ~ member(X3,X2)
    | ~ member(X5,X2)
    | ~ member(X4,X2)
    | ~ apply(X1,X3,X5)
    | ~ apply(X1,X5,X4)
    | ~ epred1_2(X1,X2)
    | apply(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_200]) ).

cnf(c_0_201_0,axiom,
    ( apply(X1,X3,X4)
    | ~ pre_order(X1,X2)
    | ~ apply(X1,X5,X4)
    | ~ apply(X1,X3,X5)
    | ~ member(X4,X2)
    | ~ member(X5,X2)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_201]) ).

cnf(c_0_201_1,axiom,
    ( ~ pre_order(X1,X2)
    | apply(X1,X3,X4)
    | ~ apply(X1,X5,X4)
    | ~ apply(X1,X3,X5)
    | ~ member(X4,X2)
    | ~ member(X5,X2)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_201]) ).

cnf(c_0_201_2,axiom,
    ( ~ apply(X1,X5,X4)
    | ~ pre_order(X1,X2)
    | apply(X1,X3,X4)
    | ~ apply(X1,X3,X5)
    | ~ member(X4,X2)
    | ~ member(X5,X2)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_201]) ).

cnf(c_0_201_3,axiom,
    ( ~ apply(X1,X3,X5)
    | ~ apply(X1,X5,X4)
    | ~ pre_order(X1,X2)
    | apply(X1,X3,X4)
    | ~ member(X4,X2)
    | ~ member(X5,X2)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_201]) ).

cnf(c_0_201_4,axiom,
    ( ~ member(X4,X2)
    | ~ apply(X1,X3,X5)
    | ~ apply(X1,X5,X4)
    | ~ pre_order(X1,X2)
    | apply(X1,X3,X4)
    | ~ member(X5,X2)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_201]) ).

cnf(c_0_201_5,axiom,
    ( ~ member(X5,X2)
    | ~ member(X4,X2)
    | ~ apply(X1,X3,X5)
    | ~ apply(X1,X5,X4)
    | ~ pre_order(X1,X2)
    | apply(X1,X3,X4)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_201]) ).

cnf(c_0_201_6,axiom,
    ( ~ member(X3,X2)
    | ~ member(X5,X2)
    | ~ member(X4,X2)
    | ~ apply(X1,X3,X5)
    | ~ apply(X1,X5,X4)
    | ~ pre_order(X1,X2)
    | apply(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_201]) ).

cnf(c_0_202_0,axiom,
    ( pre_order(X1,X2)
    | apply(X1,sk1_esk12_2(X1,X2),sk1_esk13_2(X1,X2))
    | ~ apply(X1,sk1_esk11_2(X1,X2),sk1_esk11_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_202]) ).

cnf(c_0_202_1,axiom,
    ( apply(X1,sk1_esk12_2(X1,X2),sk1_esk13_2(X1,X2))
    | pre_order(X1,X2)
    | ~ apply(X1,sk1_esk11_2(X1,X2),sk1_esk11_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_202]) ).

cnf(c_0_202_2,axiom,
    ( ~ apply(X1,sk1_esk11_2(X1,X2),sk1_esk11_2(X1,X2))
    | apply(X1,sk1_esk12_2(X1,X2),sk1_esk13_2(X1,X2))
    | pre_order(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_202]) ).

cnf(c_0_203_0,axiom,
    ( pre_order(X1,X2)
    | apply(X1,sk1_esk13_2(X1,X2),sk1_esk14_2(X1,X2))
    | ~ apply(X1,sk1_esk11_2(X1,X2),sk1_esk11_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_203]) ).

cnf(c_0_203_1,axiom,
    ( apply(X1,sk1_esk13_2(X1,X2),sk1_esk14_2(X1,X2))
    | pre_order(X1,X2)
    | ~ apply(X1,sk1_esk11_2(X1,X2),sk1_esk11_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_203]) ).

cnf(c_0_203_2,axiom,
    ( ~ apply(X1,sk1_esk11_2(X1,X2),sk1_esk11_2(X1,X2))
    | apply(X1,sk1_esk13_2(X1,X2),sk1_esk14_2(X1,X2))
    | pre_order(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_203]) ).

cnf(c_0_204_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_204]) ).

cnf(c_0_204_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_204]) ).

cnf(c_0_204_2,axiom,
    ( apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_204]) ).

cnf(c_0_204_3,axiom,
    ( apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_204]) ).

cnf(c_0_205_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_205]) ).

cnf(c_0_205_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_205]) ).

cnf(c_0_205_2,axiom,
    ( apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_205]) ).

cnf(c_0_205_3,axiom,
    ( apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_205]) ).

cnf(c_0_206_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_206]) ).

cnf(c_0_206_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_206]) ).

cnf(c_0_206_2,axiom,
    ( member(sk1_esk16_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_206]) ).

cnf(c_0_206_3,axiom,
    ( ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1))
    | member(sk1_esk16_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_206]) ).

cnf(c_0_207_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_207]) ).

cnf(c_0_207_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_207]) ).

cnf(c_0_207_2,axiom,
    ( member(sk1_esk17_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_207]) ).

cnf(c_0_207_3,axiom,
    ( ~ apply(X1,sk1_esk18_2(X2,X1),sk1_esk20_2(X2,X1))
    | member(sk1_esk17_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_207]) ).

cnf(c_0_208_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | member(sk1_esk18_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_208]) ).

cnf(c_0_208_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk18_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_208]) ).

cnf(c_0_208_2,axiom,
    ( member(sk1_esk18_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_208]) ).

cnf(c_0_208_3,axiom,
    ( ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1))
    | member(sk1_esk18_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_208]) ).

cnf(c_0_209_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | member(sk1_esk19_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_209]) ).

cnf(c_0_209_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk19_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_209]) ).

cnf(c_0_209_2,axiom,
    ( member(sk1_esk19_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_209]) ).

cnf(c_0_209_3,axiom,
    ( ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1))
    | member(sk1_esk19_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_209]) ).

cnf(c_0_210_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | member(sk1_esk20_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_210]) ).

cnf(c_0_210_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk20_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_210]) ).

cnf(c_0_210_2,axiom,
    ( member(sk1_esk20_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_210]) ).

cnf(c_0_210_3,axiom,
    ( ~ apply(X1,sk1_esk17_2(X2,X1),sk1_esk16_2(X2,X1))
    | member(sk1_esk20_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_210]) ).

cnf(c_0_211_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | member(sk1_esk18_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_211]) ).

cnf(c_0_211_1,axiom,
    ( member(sk1_esk16_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk18_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_211]) ).

cnf(c_0_211_2,axiom,
    ( member(sk1_esk18_2(X2,X1),X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_211]) ).

cnf(c_0_211_3,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | member(sk1_esk18_2(X2,X1),X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_211]) ).

cnf(c_0_212_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | member(sk1_esk19_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_212]) ).

cnf(c_0_212_1,axiom,
    ( member(sk1_esk16_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk19_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_212]) ).

cnf(c_0_212_2,axiom,
    ( member(sk1_esk19_2(X2,X1),X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_212]) ).

cnf(c_0_212_3,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | member(sk1_esk19_2(X2,X1),X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_212]) ).

cnf(c_0_213_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | member(sk1_esk20_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_213]) ).

cnf(c_0_213_1,axiom,
    ( member(sk1_esk16_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk20_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_213]) ).

cnf(c_0_213_2,axiom,
    ( member(sk1_esk20_2(X2,X1),X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_213]) ).

cnf(c_0_213_3,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | member(sk1_esk20_2(X2,X1),X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_213]) ).

cnf(c_0_214_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | member(sk1_esk18_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_214]) ).

cnf(c_0_214_1,axiom,
    ( member(sk1_esk17_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk18_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_214]) ).

cnf(c_0_214_2,axiom,
    ( member(sk1_esk18_2(X2,X1),X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_214]) ).

cnf(c_0_214_3,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | member(sk1_esk18_2(X2,X1),X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_214]) ).

cnf(c_0_215_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | member(sk1_esk19_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_215]) ).

cnf(c_0_215_1,axiom,
    ( member(sk1_esk17_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk19_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_215]) ).

cnf(c_0_215_2,axiom,
    ( member(sk1_esk19_2(X2,X1),X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_215]) ).

cnf(c_0_215_3,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | member(sk1_esk19_2(X2,X1),X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_215]) ).

cnf(c_0_216_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | member(sk1_esk20_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_216]) ).

cnf(c_0_216_1,axiom,
    ( member(sk1_esk17_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk20_2(X2,X1),X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_216]) ).

cnf(c_0_216_2,axiom,
    ( member(sk1_esk20_2(X2,X1),X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_216]) ).

cnf(c_0_216_3,axiom,
    ( ~ apply(X1,sk1_esk15_2(X2,X1),sk1_esk15_2(X2,X1))
    | member(sk1_esk20_2(X2,X1),X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_216]) ).

cnf(c_0_217_0,axiom,
    ( apply(X4,X2,X1)
    | ~ member(X1,equivalence_class(X2,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_217]) ).

cnf(c_0_217_1,axiom,
    ( ~ member(X1,equivalence_class(X2,X3,X4))
    | apply(X4,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_217]) ).

cnf(c_0_218_0,axiom,
    ( partition(X1,X2)
    | member(sk1_esk10_2(X1,X2),sk1_esk8_2(X1,X2))
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_218]) ).

cnf(c_0_218_1,axiom,
    ( member(sk1_esk10_2(X1,X2),sk1_esk8_2(X1,X2))
    | partition(X1,X2)
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_218]) ).

cnf(c_0_218_2,axiom,
    ( ~ subset(sk1_esk6_2(X1,X2),X2)
    | member(sk1_esk10_2(X1,X2),sk1_esk8_2(X1,X2))
    | partition(X1,X2)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_218]) ).

cnf(c_0_218_3,axiom,
    ( ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | member(sk1_esk10_2(X1,X2),sk1_esk8_2(X1,X2))
    | partition(X1,X2)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_218]) ).

cnf(c_0_218_4,axiom,
    ( ~ member(X3,X1)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | member(sk1_esk10_2(X1,X2),sk1_esk8_2(X1,X2))
    | partition(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_218]) ).

cnf(c_0_219_0,axiom,
    ( partition(X1,X2)
    | member(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2))
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_219]) ).

cnf(c_0_219_1,axiom,
    ( member(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2))
    | partition(X1,X2)
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_219]) ).

cnf(c_0_219_2,axiom,
    ( ~ subset(sk1_esk6_2(X1,X2),X2)
    | member(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2))
    | partition(X1,X2)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_219]) ).

cnf(c_0_219_3,axiom,
    ( ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | member(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2))
    | partition(X1,X2)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_219]) ).

cnf(c_0_219_4,axiom,
    ( ~ member(X3,X1)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | member(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2))
    | partition(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_219]) ).

cnf(c_0_220_0,axiom,
    ( member(X1,equivalence_class(X2,X3,X4))
    | ~ apply(X4,X2,X1)
    | ~ member(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_220]) ).

cnf(c_0_220_1,axiom,
    ( ~ apply(X4,X2,X1)
    | member(X1,equivalence_class(X2,X3,X4))
    | ~ member(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_220]) ).

cnf(c_0_220_2,axiom,
    ( ~ member(X1,X3)
    | ~ apply(X4,X2,X1)
    | member(X1,equivalence_class(X2,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_220]) ).

cnf(c_0_221_0,axiom,
    ( pre_order(X1,X2)
    | member(sk1_esk11_2(X1,X2),X2)
    | ~ apply(X1,sk1_esk12_2(X1,X2),sk1_esk14_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_221]) ).

cnf(c_0_221_1,axiom,
    ( member(sk1_esk11_2(X1,X2),X2)
    | pre_order(X1,X2)
    | ~ apply(X1,sk1_esk12_2(X1,X2),sk1_esk14_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_221]) ).

cnf(c_0_221_2,axiom,
    ( ~ apply(X1,sk1_esk12_2(X1,X2),sk1_esk14_2(X1,X2))
    | member(sk1_esk11_2(X1,X2),X2)
    | pre_order(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_221]) ).

cnf(c_0_222_0,axiom,
    ( pre_order(X1,X2)
    | member(sk1_esk12_2(X1,X2),X2)
    | ~ apply(X1,sk1_esk11_2(X1,X2),sk1_esk11_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_222]) ).

cnf(c_0_222_1,axiom,
    ( member(sk1_esk12_2(X1,X2),X2)
    | pre_order(X1,X2)
    | ~ apply(X1,sk1_esk11_2(X1,X2),sk1_esk11_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_222]) ).

cnf(c_0_222_2,axiom,
    ( ~ apply(X1,sk1_esk11_2(X1,X2),sk1_esk11_2(X1,X2))
    | member(sk1_esk12_2(X1,X2),X2)
    | pre_order(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_222]) ).

cnf(c_0_223_0,axiom,
    ( pre_order(X1,X2)
    | member(sk1_esk13_2(X1,X2),X2)
    | ~ apply(X1,sk1_esk11_2(X1,X2),sk1_esk11_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_223]) ).

cnf(c_0_223_1,axiom,
    ( member(sk1_esk13_2(X1,X2),X2)
    | pre_order(X1,X2)
    | ~ apply(X1,sk1_esk11_2(X1,X2),sk1_esk11_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_223]) ).

cnf(c_0_223_2,axiom,
    ( ~ apply(X1,sk1_esk11_2(X1,X2),sk1_esk11_2(X1,X2))
    | member(sk1_esk13_2(X1,X2),X2)
    | pre_order(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_223]) ).

cnf(c_0_224_0,axiom,
    ( pre_order(X1,X2)
    | member(sk1_esk14_2(X1,X2),X2)
    | ~ apply(X1,sk1_esk11_2(X1,X2),sk1_esk11_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_224]) ).

cnf(c_0_224_1,axiom,
    ( member(sk1_esk14_2(X1,X2),X2)
    | pre_order(X1,X2)
    | ~ apply(X1,sk1_esk11_2(X1,X2),sk1_esk11_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_224]) ).

cnf(c_0_224_2,axiom,
    ( ~ apply(X1,sk1_esk11_2(X1,X2),sk1_esk11_2(X1,X2))
    | member(sk1_esk14_2(X1,X2),X2)
    | pre_order(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_224]) ).

cnf(c_0_225_0,axiom,
    ( apply(X1,X3,X4)
    | ~ epred1_2(X1,X2)
    | ~ apply(X1,X4,X3)
    | ~ member(X3,X2)
    | ~ member(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_225]) ).

cnf(c_0_225_1,axiom,
    ( ~ epred1_2(X1,X2)
    | apply(X1,X3,X4)
    | ~ apply(X1,X4,X3)
    | ~ member(X3,X2)
    | ~ member(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_225]) ).

cnf(c_0_225_2,axiom,
    ( ~ apply(X1,X4,X3)
    | ~ epred1_2(X1,X2)
    | apply(X1,X3,X4)
    | ~ member(X3,X2)
    | ~ member(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_225]) ).

cnf(c_0_225_3,axiom,
    ( ~ member(X3,X2)
    | ~ apply(X1,X4,X3)
    | ~ epred1_2(X1,X2)
    | apply(X1,X3,X4)
    | ~ member(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_225]) ).

cnf(c_0_225_4,axiom,
    ( ~ member(X4,X2)
    | ~ member(X3,X2)
    | ~ apply(X1,X4,X3)
    | ~ epred1_2(X1,X2)
    | apply(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_225]) ).

cnf(c_0_226_0,axiom,
    ( partition(X1,X2)
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1)
    | sk1_esk9_2(X1,X2) != sk1_esk8_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_226]) ).

cnf(c_0_226_1,axiom,
    ( ~ subset(sk1_esk6_2(X1,X2),X2)
    | partition(X1,X2)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1)
    | sk1_esk9_2(X1,X2) != sk1_esk8_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_226]) ).

cnf(c_0_226_2,axiom,
    ( ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | partition(X1,X2)
    | ~ member(X3,X1)
    | sk1_esk9_2(X1,X2) != sk1_esk8_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_226]) ).

cnf(c_0_226_3,axiom,
    ( ~ member(X3,X1)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | partition(X1,X2)
    | sk1_esk9_2(X1,X2) != sk1_esk8_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_226]) ).

cnf(c_0_226_4,axiom,
    ( sk1_esk9_2(X1,X2) != sk1_esk8_2(X1,X2)
    | ~ member(X3,X1)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | partition(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_226]) ).

cnf(c_0_227_0,axiom,
    ( partition(X1,X2)
    | member(sk1_esk6_2(X1,X2),X1)
    | member(sk1_esk10_2(X1,X2),sk1_esk8_2(X1,X2))
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_227]) ).

cnf(c_0_227_1,axiom,
    ( member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | member(sk1_esk10_2(X1,X2),sk1_esk8_2(X1,X2))
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_227]) ).

cnf(c_0_227_2,axiom,
    ( member(sk1_esk10_2(X1,X2),sk1_esk8_2(X1,X2))
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_227]) ).

cnf(c_0_227_3,axiom,
    ( ~ member(sk1_esk7_2(X1,X2),X3)
    | member(sk1_esk10_2(X1,X2),sk1_esk8_2(X1,X2))
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_227]) ).

cnf(c_0_227_4,axiom,
    ( ~ member(X3,X1)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | member(sk1_esk10_2(X1,X2),sk1_esk8_2(X1,X2))
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_227]) ).

cnf(c_0_228_0,axiom,
    ( partition(X1,X2)
    | member(sk1_esk6_2(X1,X2),X1)
    | member(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2))
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_228]) ).

cnf(c_0_228_1,axiom,
    ( member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | member(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2))
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_228]) ).

cnf(c_0_228_2,axiom,
    ( member(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2))
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_228]) ).

cnf(c_0_228_3,axiom,
    ( ~ member(sk1_esk7_2(X1,X2),X3)
    | member(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2))
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_228]) ).

cnf(c_0_228_4,axiom,
    ( ~ member(X3,X1)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | member(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2))
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_228]) ).

cnf(c_0_229_0,axiom,
    ( member(X1,X3)
    | ~ member(X1,equivalence_class(X2,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_229]) ).

cnf(c_0_229_1,axiom,
    ( ~ member(X1,equivalence_class(X2,X3,X4))
    | member(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_229]) ).

cnf(c_0_230_0,axiom,
    ( partition(X1,X2)
    | member(sk1_esk8_2(X1,X2),X1)
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_230]) ).

cnf(c_0_230_1,axiom,
    ( member(sk1_esk8_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_230]) ).

cnf(c_0_230_2,axiom,
    ( ~ subset(sk1_esk6_2(X1,X2),X2)
    | member(sk1_esk8_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_230]) ).

cnf(c_0_230_3,axiom,
    ( ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | member(sk1_esk8_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_230]) ).

cnf(c_0_230_4,axiom,
    ( ~ member(X3,X1)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | member(sk1_esk8_2(X1,X2),X1)
    | partition(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_230]) ).

cnf(c_0_231_0,axiom,
    ( partition(X1,X2)
    | member(sk1_esk9_2(X1,X2),X1)
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_231]) ).

cnf(c_0_231_1,axiom,
    ( member(sk1_esk9_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_231]) ).

cnf(c_0_231_2,axiom,
    ( ~ subset(sk1_esk6_2(X1,X2),X2)
    | member(sk1_esk9_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_231]) ).

cnf(c_0_231_3,axiom,
    ( ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | member(sk1_esk9_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_231]) ).

cnf(c_0_231_4,axiom,
    ( ~ member(X3,X1)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | member(sk1_esk9_2(X1,X2),X1)
    | partition(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_231]) ).

cnf(c_0_232_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_232]) ).

cnf(c_0_232_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_232]) ).

cnf(c_0_232_2,axiom,
    ( member(sk1_esk16_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_232]) ).

cnf(c_0_232_3,axiom,
    ( apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | member(sk1_esk16_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_232]) ).

cnf(c_0_233_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_233]) ).

cnf(c_0_233_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_233]) ).

cnf(c_0_233_2,axiom,
    ( member(sk1_esk16_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_233]) ).

cnf(c_0_233_3,axiom,
    ( apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | member(sk1_esk16_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_233]) ).

cnf(c_0_234_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_234]) ).

cnf(c_0_234_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_234]) ).

cnf(c_0_234_2,axiom,
    ( member(sk1_esk17_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_234]) ).

cnf(c_0_234_3,axiom,
    ( apply(X1,sk1_esk18_2(X2,X1),sk1_esk19_2(X2,X1))
    | member(sk1_esk17_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_234]) ).

cnf(c_0_235_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_235]) ).

cnf(c_0_235_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_235]) ).

cnf(c_0_235_2,axiom,
    ( member(sk1_esk17_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_235]) ).

cnf(c_0_235_3,axiom,
    ( apply(X1,sk1_esk19_2(X2,X1),sk1_esk20_2(X2,X1))
    | member(sk1_esk17_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_235]) ).

cnf(c_0_236_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | member(sk1_esk18_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_236]) ).

cnf(c_0_236_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | member(sk1_esk18_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_236]) ).

cnf(c_0_236_2,axiom,
    ( apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk18_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_236]) ).

cnf(c_0_236_3,axiom,
    ( member(sk1_esk18_2(X2,X1),X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_236]) ).

cnf(c_0_237_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | member(sk1_esk19_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_237]) ).

cnf(c_0_237_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | member(sk1_esk19_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_237]) ).

cnf(c_0_237_2,axiom,
    ( apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk19_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_237]) ).

cnf(c_0_237_3,axiom,
    ( member(sk1_esk19_2(X2,X1),X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_237]) ).

cnf(c_0_238_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | member(sk1_esk20_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_238]) ).

cnf(c_0_238_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | member(sk1_esk20_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_238]) ).

cnf(c_0_238_2,axiom,
    ( apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk20_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_238]) ).

cnf(c_0_238_3,axiom,
    ( member(sk1_esk20_2(X2,X1),X2)
    | apply(X1,sk1_esk16_2(X2,X1),sk1_esk17_2(X2,X1))
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_238]) ).

cnf(c_0_239_0,axiom,
    ( partition(X1,X2)
    | member(sk1_esk6_2(X1,X2),X1)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1)
    | sk1_esk9_2(X1,X2) != sk1_esk8_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_239]) ).

cnf(c_0_239_1,axiom,
    ( member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1)
    | sk1_esk9_2(X1,X2) != sk1_esk8_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_239]) ).

cnf(c_0_239_2,axiom,
    ( ~ member(sk1_esk7_2(X1,X2),X3)
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(X3,X1)
    | sk1_esk9_2(X1,X2) != sk1_esk8_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_239]) ).

cnf(c_0_239_3,axiom,
    ( ~ member(X3,X1)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | sk1_esk9_2(X1,X2) != sk1_esk8_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_239]) ).

cnf(c_0_239_4,axiom,
    ( sk1_esk9_2(X1,X2) != sk1_esk8_2(X1,X2)
    | ~ member(X3,X1)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_239]) ).

cnf(c_0_240_0,axiom,
    ( partition(X1,X2)
    | member(sk1_esk7_2(X1,X2),X2)
    | member(sk1_esk10_2(X1,X2),sk1_esk8_2(X1,X2))
    | ~ subset(sk1_esk6_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_240]) ).

cnf(c_0_240_1,axiom,
    ( member(sk1_esk7_2(X1,X2),X2)
    | partition(X1,X2)
    | member(sk1_esk10_2(X1,X2),sk1_esk8_2(X1,X2))
    | ~ subset(sk1_esk6_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_240]) ).

cnf(c_0_240_2,axiom,
    ( member(sk1_esk10_2(X1,X2),sk1_esk8_2(X1,X2))
    | member(sk1_esk7_2(X1,X2),X2)
    | partition(X1,X2)
    | ~ subset(sk1_esk6_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_240]) ).

cnf(c_0_240_3,axiom,
    ( ~ subset(sk1_esk6_2(X1,X2),X2)
    | member(sk1_esk10_2(X1,X2),sk1_esk8_2(X1,X2))
    | member(sk1_esk7_2(X1,X2),X2)
    | partition(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_240]) ).

cnf(c_0_241_0,axiom,
    ( partition(X1,X2)
    | member(sk1_esk7_2(X1,X2),X2)
    | member(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2))
    | ~ subset(sk1_esk6_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_241]) ).

cnf(c_0_241_1,axiom,
    ( member(sk1_esk7_2(X1,X2),X2)
    | partition(X1,X2)
    | member(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2))
    | ~ subset(sk1_esk6_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_241]) ).

cnf(c_0_241_2,axiom,
    ( member(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2))
    | member(sk1_esk7_2(X1,X2),X2)
    | partition(X1,X2)
    | ~ subset(sk1_esk6_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_241]) ).

cnf(c_0_241_3,axiom,
    ( ~ subset(sk1_esk6_2(X1,X2),X2)
    | member(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2))
    | member(sk1_esk7_2(X1,X2),X2)
    | partition(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_241]) ).

cnf(c_0_242_0,axiom,
    ( partition(X1,X2)
    | member(sk1_esk6_2(X1,X2),X1)
    | member(sk1_esk8_2(X1,X2),X1)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_242]) ).

cnf(c_0_242_1,axiom,
    ( member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | member(sk1_esk8_2(X1,X2),X1)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_242]) ).

cnf(c_0_242_2,axiom,
    ( member(sk1_esk8_2(X1,X2),X1)
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_242]) ).

cnf(c_0_242_3,axiom,
    ( ~ member(sk1_esk7_2(X1,X2),X3)
    | member(sk1_esk8_2(X1,X2),X1)
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_242]) ).

cnf(c_0_242_4,axiom,
    ( ~ member(X3,X1)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | member(sk1_esk8_2(X1,X2),X1)
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_242]) ).

cnf(c_0_243_0,axiom,
    ( partition(X1,X2)
    | member(sk1_esk6_2(X1,X2),X1)
    | member(sk1_esk9_2(X1,X2),X1)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_243]) ).

cnf(c_0_243_1,axiom,
    ( member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | member(sk1_esk9_2(X1,X2),X1)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_243]) ).

cnf(c_0_243_2,axiom,
    ( member(sk1_esk9_2(X1,X2),X1)
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_243]) ).

cnf(c_0_243_3,axiom,
    ( ~ member(sk1_esk7_2(X1,X2),X3)
    | member(sk1_esk9_2(X1,X2),X1)
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_243]) ).

cnf(c_0_243_4,axiom,
    ( ~ member(X3,X1)
    | ~ member(sk1_esk7_2(X1,X2),X3)
    | member(sk1_esk9_2(X1,X2),X1)
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_243]) ).

cnf(c_0_244_0,axiom,
    ( member(sk1_esk5_3(X1,X2,X3),X1)
    | ~ partition(X1,X2)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_244]) ).

cnf(c_0_244_1,axiom,
    ( ~ partition(X1,X2)
    | member(sk1_esk5_3(X1,X2,X3),X1)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_244]) ).

cnf(c_0_244_2,axiom,
    ( ~ member(X3,X2)
    | ~ partition(X1,X2)
    | member(sk1_esk5_3(X1,X2,X3),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_244]) ).

cnf(c_0_245_0,axiom,
    ( member(X3,sk1_esk5_3(X1,X2,X3))
    | ~ partition(X1,X2)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_245]) ).

cnf(c_0_245_1,axiom,
    ( ~ partition(X1,X2)
    | member(X3,sk1_esk5_3(X1,X2,X3))
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_245]) ).

cnf(c_0_245_2,axiom,
    ( ~ member(X3,X2)
    | ~ partition(X1,X2)
    | member(X3,sk1_esk5_3(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_245]) ).

cnf(c_0_246_0,axiom,
    ( partition(X1,X2)
    | member(sk1_esk7_2(X1,X2),X2)
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | sk1_esk9_2(X1,X2) != sk1_esk8_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_246]) ).

cnf(c_0_246_1,axiom,
    ( member(sk1_esk7_2(X1,X2),X2)
    | partition(X1,X2)
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | sk1_esk9_2(X1,X2) != sk1_esk8_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_246]) ).

cnf(c_0_246_2,axiom,
    ( ~ subset(sk1_esk6_2(X1,X2),X2)
    | member(sk1_esk7_2(X1,X2),X2)
    | partition(X1,X2)
    | sk1_esk9_2(X1,X2) != sk1_esk8_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_246]) ).

cnf(c_0_246_3,axiom,
    ( sk1_esk9_2(X1,X2) != sk1_esk8_2(X1,X2)
    | ~ subset(sk1_esk6_2(X1,X2),X2)
    | member(sk1_esk7_2(X1,X2),X2)
    | partition(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_246]) ).

cnf(c_0_247_0,axiom,
    ( pre_order(X1,X2)
    | member(sk1_esk11_2(X1,X2),X2)
    | apply(X1,sk1_esk12_2(X1,X2),sk1_esk13_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_247]) ).

cnf(c_0_247_1,axiom,
    ( member(sk1_esk11_2(X1,X2),X2)
    | pre_order(X1,X2)
    | apply(X1,sk1_esk12_2(X1,X2),sk1_esk13_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_247]) ).

cnf(c_0_247_2,axiom,
    ( apply(X1,sk1_esk12_2(X1,X2),sk1_esk13_2(X1,X2))
    | member(sk1_esk11_2(X1,X2),X2)
    | pre_order(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_247]) ).

cnf(c_0_248_0,axiom,
    ( pre_order(X1,X2)
    | member(sk1_esk11_2(X1,X2),X2)
    | apply(X1,sk1_esk13_2(X1,X2),sk1_esk14_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_248]) ).

cnf(c_0_248_1,axiom,
    ( member(sk1_esk11_2(X1,X2),X2)
    | pre_order(X1,X2)
    | apply(X1,sk1_esk13_2(X1,X2),sk1_esk14_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_248]) ).

cnf(c_0_248_2,axiom,
    ( apply(X1,sk1_esk13_2(X1,X2),sk1_esk14_2(X1,X2))
    | member(sk1_esk11_2(X1,X2),X2)
    | pre_order(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_248]) ).

cnf(c_0_249_0,axiom,
    ( partition(X1,X2)
    | member(sk1_esk6_2(X1,X2),X1)
    | member(sk1_esk7_2(X1,X2),X2)
    | member(sk1_esk10_2(X1,X2),sk1_esk8_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_249]) ).

cnf(c_0_249_1,axiom,
    ( member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | member(sk1_esk7_2(X1,X2),X2)
    | member(sk1_esk10_2(X1,X2),sk1_esk8_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_249]) ).

cnf(c_0_249_2,axiom,
    ( member(sk1_esk7_2(X1,X2),X2)
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | member(sk1_esk10_2(X1,X2),sk1_esk8_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_249]) ).

cnf(c_0_249_3,axiom,
    ( member(sk1_esk10_2(X1,X2),sk1_esk8_2(X1,X2))
    | member(sk1_esk7_2(X1,X2),X2)
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_249]) ).

cnf(c_0_250_0,axiom,
    ( partition(X1,X2)
    | member(sk1_esk6_2(X1,X2),X1)
    | member(sk1_esk7_2(X1,X2),X2)
    | member(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_250]) ).

cnf(c_0_250_1,axiom,
    ( member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | member(sk1_esk7_2(X1,X2),X2)
    | member(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_250]) ).

cnf(c_0_250_2,axiom,
    ( member(sk1_esk7_2(X1,X2),X2)
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | member(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_250]) ).

cnf(c_0_250_3,axiom,
    ( member(sk1_esk10_2(X1,X2),sk1_esk9_2(X1,X2))
    | member(sk1_esk7_2(X1,X2),X2)
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_250]) ).

cnf(c_0_251_0,axiom,
    ( partition(X1,X2)
    | member(sk1_esk7_2(X1,X2),X2)
    | member(sk1_esk8_2(X1,X2),X1)
    | ~ subset(sk1_esk6_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_251]) ).

cnf(c_0_251_1,axiom,
    ( member(sk1_esk7_2(X1,X2),X2)
    | partition(X1,X2)
    | member(sk1_esk8_2(X1,X2),X1)
    | ~ subset(sk1_esk6_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_251]) ).

cnf(c_0_251_2,axiom,
    ( member(sk1_esk8_2(X1,X2),X1)
    | member(sk1_esk7_2(X1,X2),X2)
    | partition(X1,X2)
    | ~ subset(sk1_esk6_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_251]) ).

cnf(c_0_251_3,axiom,
    ( ~ subset(sk1_esk6_2(X1,X2),X2)
    | member(sk1_esk8_2(X1,X2),X1)
    | member(sk1_esk7_2(X1,X2),X2)
    | partition(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_251]) ).

cnf(c_0_252_0,axiom,
    ( partition(X1,X2)
    | member(sk1_esk7_2(X1,X2),X2)
    | member(sk1_esk9_2(X1,X2),X1)
    | ~ subset(sk1_esk6_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_252]) ).

cnf(c_0_252_1,axiom,
    ( member(sk1_esk7_2(X1,X2),X2)
    | partition(X1,X2)
    | member(sk1_esk9_2(X1,X2),X1)
    | ~ subset(sk1_esk6_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_252]) ).

cnf(c_0_252_2,axiom,
    ( member(sk1_esk9_2(X1,X2),X1)
    | member(sk1_esk7_2(X1,X2),X2)
    | partition(X1,X2)
    | ~ subset(sk1_esk6_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_252]) ).

cnf(c_0_252_3,axiom,
    ( ~ subset(sk1_esk6_2(X1,X2),X2)
    | member(sk1_esk9_2(X1,X2),X1)
    | member(sk1_esk7_2(X1,X2),X2)
    | partition(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_252]) ).

cnf(c_0_253_0,axiom,
    ( partition(X1,X2)
    | member(sk1_esk6_2(X1,X2),X1)
    | member(sk1_esk7_2(X1,X2),X2)
    | sk1_esk9_2(X1,X2) != sk1_esk8_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_253]) ).

cnf(c_0_253_1,axiom,
    ( member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | member(sk1_esk7_2(X1,X2),X2)
    | sk1_esk9_2(X1,X2) != sk1_esk8_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_253]) ).

cnf(c_0_253_2,axiom,
    ( member(sk1_esk7_2(X1,X2),X2)
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | sk1_esk9_2(X1,X2) != sk1_esk8_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_253]) ).

cnf(c_0_253_3,axiom,
    ( sk1_esk9_2(X1,X2) != sk1_esk8_2(X1,X2)
    | member(sk1_esk7_2(X1,X2),X2)
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_253]) ).

cnf(c_0_254_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | member(sk1_esk18_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_254]) ).

cnf(c_0_254_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | member(sk1_esk18_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_254]) ).

cnf(c_0_254_2,axiom,
    ( member(sk1_esk16_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk18_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_254]) ).

cnf(c_0_254_3,axiom,
    ( member(sk1_esk18_2(X2,X1),X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_254]) ).

cnf(c_0_255_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | member(sk1_esk19_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_255]) ).

cnf(c_0_255_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | member(sk1_esk19_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_255]) ).

cnf(c_0_255_2,axiom,
    ( member(sk1_esk16_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk19_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_255]) ).

cnf(c_0_255_3,axiom,
    ( member(sk1_esk19_2(X2,X1),X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_255]) ).

cnf(c_0_256_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | member(sk1_esk20_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_256]) ).

cnf(c_0_256_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | member(sk1_esk20_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_256]) ).

cnf(c_0_256_2,axiom,
    ( member(sk1_esk16_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk20_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_256]) ).

cnf(c_0_256_3,axiom,
    ( member(sk1_esk20_2(X2,X1),X2)
    | member(sk1_esk16_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_256]) ).

cnf(c_0_257_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | member(sk1_esk18_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_257]) ).

cnf(c_0_257_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | member(sk1_esk18_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_257]) ).

cnf(c_0_257_2,axiom,
    ( member(sk1_esk17_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk18_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_257]) ).

cnf(c_0_257_3,axiom,
    ( member(sk1_esk18_2(X2,X1),X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_257]) ).

cnf(c_0_258_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | member(sk1_esk19_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_258]) ).

cnf(c_0_258_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | member(sk1_esk19_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_258]) ).

cnf(c_0_258_2,axiom,
    ( member(sk1_esk17_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk19_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_258]) ).

cnf(c_0_258_3,axiom,
    ( member(sk1_esk19_2(X2,X1),X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_258]) ).

cnf(c_0_259_0,axiom,
    ( epred1_2(X1,X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | member(sk1_esk20_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_259]) ).

cnf(c_0_259_1,axiom,
    ( member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | member(sk1_esk20_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_259]) ).

cnf(c_0_259_2,axiom,
    ( member(sk1_esk17_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | member(sk1_esk20_2(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_259]) ).

cnf(c_0_259_3,axiom,
    ( member(sk1_esk20_2(X2,X1),X2)
    | member(sk1_esk17_2(X2,X1),X2)
    | member(sk1_esk15_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_259]) ).

cnf(c_0_260_0,axiom,
    ( partition(X1,X2)
    | member(sk1_esk6_2(X1,X2),X1)
    | member(sk1_esk7_2(X1,X2),X2)
    | member(sk1_esk8_2(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_260]) ).

cnf(c_0_260_1,axiom,
    ( member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | member(sk1_esk7_2(X1,X2),X2)
    | member(sk1_esk8_2(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_260]) ).

cnf(c_0_260_2,axiom,
    ( member(sk1_esk7_2(X1,X2),X2)
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | member(sk1_esk8_2(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_260]) ).

cnf(c_0_260_3,axiom,
    ( member(sk1_esk8_2(X1,X2),X1)
    | member(sk1_esk7_2(X1,X2),X2)
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_260]) ).

cnf(c_0_261_0,axiom,
    ( partition(X1,X2)
    | member(sk1_esk6_2(X1,X2),X1)
    | member(sk1_esk7_2(X1,X2),X2)
    | member(sk1_esk9_2(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_261]) ).

cnf(c_0_261_1,axiom,
    ( member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | member(sk1_esk7_2(X1,X2),X2)
    | member(sk1_esk9_2(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_261]) ).

cnf(c_0_261_2,axiom,
    ( member(sk1_esk7_2(X1,X2),X2)
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | member(sk1_esk9_2(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_261]) ).

cnf(c_0_261_3,axiom,
    ( member(sk1_esk9_2(X1,X2),X1)
    | member(sk1_esk7_2(X1,X2),X2)
    | member(sk1_esk6_2(X1,X2),X1)
    | partition(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_261]) ).

cnf(c_0_262_0,axiom,
    ( X3 = X4
    | ~ partition(X1,X2)
    | ~ member(X5,X4)
    | ~ member(X5,X3)
    | ~ member(X4,X1)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_262]) ).

cnf(c_0_262_1,axiom,
    ( ~ partition(X1,X2)
    | X3 = X4
    | ~ member(X5,X4)
    | ~ member(X5,X3)
    | ~ member(X4,X1)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_262]) ).

cnf(c_0_262_2,axiom,
    ( ~ member(X5,X4)
    | ~ partition(X1,X2)
    | X3 = X4
    | ~ member(X5,X3)
    | ~ member(X4,X1)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_262]) ).

cnf(c_0_262_3,axiom,
    ( ~ member(X5,X3)
    | ~ member(X5,X4)
    | ~ partition(X1,X2)
    | X3 = X4
    | ~ member(X4,X1)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_262]) ).

cnf(c_0_262_4,axiom,
    ( ~ member(X4,X1)
    | ~ member(X5,X3)
    | ~ member(X5,X4)
    | ~ partition(X1,X2)
    | X3 = X4
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_262]) ).

cnf(c_0_262_5,axiom,
    ( ~ member(X3,X1)
    | ~ member(X4,X1)
    | ~ member(X5,X3)
    | ~ member(X5,X4)
    | ~ partition(X1,X2)
    | X3 = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_262]) ).

cnf(c_0_263_0,axiom,
    ( apply(X1,X3,X3)
    | ~ epred1_2(X1,X2)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_263]) ).

cnf(c_0_263_1,axiom,
    ( ~ epred1_2(X1,X2)
    | apply(X1,X3,X3)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_263]) ).

cnf(c_0_263_2,axiom,
    ( ~ member(X3,X2)
    | ~ epred1_2(X1,X2)
    | apply(X1,X3,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_263]) ).

cnf(c_0_264_0,axiom,
    ( apply(X1,X3,X3)
    | ~ pre_order(X1,X2)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_264]) ).

cnf(c_0_264_1,axiom,
    ( ~ pre_order(X1,X2)
    | apply(X1,X3,X3)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_264]) ).

cnf(c_0_264_2,axiom,
    ( ~ member(X3,X2)
    | ~ pre_order(X1,X2)
    | apply(X1,X3,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_264]) ).

cnf(c_0_265_0,axiom,
    ( pre_order(X1,X2)
    | member(sk1_esk11_2(X1,X2),X2)
    | member(sk1_esk12_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_265]) ).

cnf(c_0_265_1,axiom,
    ( member(sk1_esk11_2(X1,X2),X2)
    | pre_order(X1,X2)
    | member(sk1_esk12_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_265]) ).

cnf(c_0_265_2,axiom,
    ( member(sk1_esk12_2(X1,X2),X2)
    | member(sk1_esk11_2(X1,X2),X2)
    | pre_order(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_265]) ).

cnf(c_0_266_0,axiom,
    ( pre_order(X1,X2)
    | member(sk1_esk11_2(X1,X2),X2)
    | member(sk1_esk13_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_266]) ).

cnf(c_0_266_1,axiom,
    ( member(sk1_esk11_2(X1,X2),X2)
    | pre_order(X1,X2)
    | member(sk1_esk13_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_266]) ).

cnf(c_0_266_2,axiom,
    ( member(sk1_esk13_2(X1,X2),X2)
    | member(sk1_esk11_2(X1,X2),X2)
    | pre_order(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_266]) ).

cnf(c_0_267_0,axiom,
    ( pre_order(X1,X2)
    | member(sk1_esk11_2(X1,X2),X2)
    | member(sk1_esk14_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_267]) ).

cnf(c_0_267_1,axiom,
    ( member(sk1_esk11_2(X1,X2),X2)
    | pre_order(X1,X2)
    | member(sk1_esk14_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_267]) ).

cnf(c_0_267_2,axiom,
    ( member(sk1_esk14_2(X1,X2),X2)
    | member(sk1_esk11_2(X1,X2),X2)
    | pre_order(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_267]) ).

cnf(c_0_268_0,axiom,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_268]) ).

cnf(c_0_268_1,axiom,
    ( member(X1,X3)
    | member(X1,X2)
    | ~ member(X1,union(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_268]) ).

cnf(c_0_268_2,axiom,
    ( ~ member(X1,union(X3,X2))
    | member(X1,X3)
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_268]) ).

cnf(c_0_269_0,axiom,
    ( ~ member(X1,difference(X2,X3))
    | ~ member(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_269]) ).

cnf(c_0_269_1,axiom,
    ( ~ member(X1,X3)
    | ~ member(X1,difference(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_269]) ).

cnf(c_0_270_0,axiom,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_270]) ).

cnf(c_0_270_1,axiom,
    ( ~ member(X1,X3)
    | member(X1,intersection(X2,X3))
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_270]) ).

cnf(c_0_270_2,axiom,
    ( ~ member(X1,X2)
    | ~ member(X1,X3)
    | member(X1,intersection(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_270]) ).

cnf(c_0_271_0,axiom,
    ( member(X1,product(X2))
    | ~ member(X1,sk1_esk3_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_271]) ).

cnf(c_0_271_1,axiom,
    ( ~ member(X1,sk1_esk3_2(X1,X2))
    | member(X1,product(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_271]) ).

cnf(c_0_272_0,axiom,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_272]) ).

cnf(c_0_272_1,axiom,
    ( ~ member(X1,difference(X2,X3))
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_272]) ).

cnf(c_0_273_0,axiom,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_273]) ).

cnf(c_0_273_1,axiom,
    ( ~ member(X1,intersection(X2,X3))
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_273]) ).

cnf(c_0_274_0,axiom,
    ( member(X1,X3)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_274]) ).

cnf(c_0_274_1,axiom,
    ( ~ member(X1,intersection(X2,X3))
    | member(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_274]) ).

cnf(c_0_275_0,axiom,
    ( subset(X1,X2)
    | ~ member(sk1_esk1_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_275]) ).

cnf(c_0_275_1,axiom,
    ( ~ member(sk1_esk1_2(X1,X2),X2)
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_275]) ).

cnf(c_0_276_0,axiom,
    ( member(X1,difference(X2,X3))
    | member(X1,X3)
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_276]) ).

cnf(c_0_276_1,axiom,
    ( member(X1,X3)
    | member(X1,difference(X2,X3))
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_276]) ).

cnf(c_0_276_2,axiom,
    ( ~ member(X1,X2)
    | member(X1,X3)
    | member(X1,difference(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_276]) ).

cnf(c_0_277_0,axiom,
    ( member(sk1_esk2_2(X1,X2),X2)
    | ~ member(X1,sum(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_277]) ).

cnf(c_0_277_1,axiom,
    ( ~ member(X1,sum(X2))
    | member(sk1_esk2_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_277]) ).

cnf(c_0_278_0,axiom,
    ( member(X1,sk1_esk2_2(X1,X2))
    | ~ member(X1,sum(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_278]) ).

cnf(c_0_278_1,axiom,
    ( ~ member(X1,sum(X2))
    | member(X1,sk1_esk2_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_278]) ).

cnf(c_0_279_0,axiom,
    ( member(X1,X2)
    | ~ member(X2,X3)
    | ~ member(X1,product(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_279]) ).

cnf(c_0_279_1,axiom,
    ( ~ member(X2,X3)
    | member(X1,X2)
    | ~ member(X1,product(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_279]) ).

cnf(c_0_279_2,axiom,
    ( ~ member(X1,product(X3))
    | ~ member(X2,X3)
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_279]) ).

cnf(c_0_280_0,axiom,
    ( ~ member(X1,X2)
    | ~ member(X1,X3)
    | ~ disjoint(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_280]) ).

cnf(c_0_280_1,axiom,
    ( ~ member(X1,X3)
    | ~ member(X1,X2)
    | ~ disjoint(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_280]) ).

cnf(c_0_280_2,axiom,
    ( ~ disjoint(X3,X2)
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_280]) ).

cnf(c_0_281_0,axiom,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_281]) ).

cnf(c_0_281_1,axiom,
    ( X1 = X3
    | X1 = X2
    | ~ member(X1,unordered_pair(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_281]) ).

cnf(c_0_281_2,axiom,
    ( ~ member(X1,unordered_pair(X3,X2))
    | X1 = X3
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_281]) ).

cnf(c_0_282_0,axiom,
    ( member(X1,sum(X2))
    | ~ member(X1,X3)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_282]) ).

cnf(c_0_282_1,axiom,
    ( ~ member(X1,X3)
    | member(X1,sum(X2))
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_282]) ).

cnf(c_0_282_2,axiom,
    ( ~ member(X3,X2)
    | ~ member(X1,X3)
    | member(X1,sum(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_282]) ).

cnf(c_0_283_0,axiom,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_283]) ).

cnf(c_0_283_1,axiom,
    ( ~ member(X1,X2)
    | member(X1,union(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_283]) ).

cnf(c_0_284_0,axiom,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_284]) ).

cnf(c_0_284_1,axiom,
    ( ~ member(X1,X3)
    | member(X1,union(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_284]) ).

cnf(c_0_285_0,axiom,
    ( member(X1,product(X2))
    | member(sk1_esk3_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_285]) ).

cnf(c_0_285_1,axiom,
    ( member(sk1_esk3_2(X1,X2),X2)
    | member(X1,product(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_285]) ).

cnf(c_0_286_0,axiom,
    ( subset(X3,X2)
    | ~ partition(X1,X2)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_286]) ).

cnf(c_0_286_1,axiom,
    ( ~ partition(X1,X2)
    | subset(X3,X2)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_286]) ).

cnf(c_0_286_2,axiom,
    ( ~ member(X3,X1)
    | ~ partition(X1,X2)
    | subset(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_286]) ).

cnf(c_0_287_0,axiom,
    ( equal_set(X1,X2)
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_287]) ).

cnf(c_0_287_1,axiom,
    ( ~ subset(X2,X1)
    | equal_set(X1,X2)
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_287]) ).

cnf(c_0_287_2,axiom,
    ( ~ subset(X1,X2)
    | ~ subset(X2,X1)
    | equal_set(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_287]) ).

cnf(c_0_288_0,axiom,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_288]) ).

cnf(c_0_288_1,axiom,
    ( ~ member(X1,X3)
    | member(X1,X2)
    | ~ subset(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_288]) ).

cnf(c_0_288_2,axiom,
    ( ~ subset(X3,X2)
    | ~ member(X1,X3)
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_288]) ).

cnf(c_0_289_0,axiom,
    ( disjoint(X1,X2)
    | member(sk1_esk4_2(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_289]) ).

cnf(c_0_289_1,axiom,
    ( member(sk1_esk4_2(X1,X2),X1)
    | disjoint(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_289]) ).

cnf(c_0_290_0,axiom,
    ( disjoint(X1,X2)
    | member(sk1_esk4_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_290]) ).

cnf(c_0_290_1,axiom,
    ( member(sk1_esk4_2(X1,X2),X2)
    | disjoint(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_290]) ).

cnf(c_0_291_0,axiom,
    ( subset(X1,X2)
    | member(sk1_esk1_2(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_291]) ).

cnf(c_0_291_1,axiom,
    ( member(sk1_esk1_2(X1,X2),X1)
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_291]) ).

cnf(c_0_292_0,axiom,
    ( subset(X1,X2)
    | ~ member(X1,power_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_292]) ).

cnf(c_0_292_1,axiom,
    ( ~ member(X1,power_set(X2))
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_292]) ).

cnf(c_0_293_0,axiom,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_293]) ).

cnf(c_0_293_1,axiom,
    ( X1 != X2
    | member(X1,unordered_pair(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_293]) ).

cnf(c_0_294_0,axiom,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_294]) ).

cnf(c_0_294_1,axiom,
    ( X1 != X3
    | member(X1,unordered_pair(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_294]) ).

cnf(c_0_295_0,axiom,
    ( member(X1,power_set(X2))
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_295]) ).

cnf(c_0_295_1,axiom,
    ( ~ subset(X1,X2)
    | member(X1,power_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_295]) ).

cnf(c_0_296_0,axiom,
    ( epred1_2(X1,X2)
    | ~ equivalence(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_296]) ).

cnf(c_0_296_1,axiom,
    ( ~ equivalence(X1,X2)
    | epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_296]) ).

cnf(c_0_297_0,axiom,
    ( equivalence(X1,X2)
    | ~ epred1_2(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_297]) ).

cnf(c_0_297_1,axiom,
    ( ~ epred1_2(X1,X2)
    | equivalence(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_297]) ).

cnf(c_0_298_0,axiom,
    ( subset(X1,X2)
    | ~ equal_set(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_298]) ).

cnf(c_0_298_1,axiom,
    ( ~ equal_set(X1,X2)
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_298]) ).

cnf(c_0_299_0,axiom,
    ( subset(X2,X1)
    | ~ equal_set(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_299]) ).

cnf(c_0_299_1,axiom,
    ( ~ equal_set(X1,X2)
    | subset(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_299]) ).

cnf(c_0_300_0,axiom,
    ( X1 = X2
    | ~ member(X1,singleton(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_300]) ).

cnf(c_0_300_1,axiom,
    ( ~ member(X1,singleton(X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_300]) ).

cnf(c_0_301_0,axiom,
    ( member(X1,singleton(X2))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_301]) ).

cnf(c_0_301_1,axiom,
    ( X1 != X2
    | member(X1,singleton(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_301]) ).

cnf(c_0_302_0,axiom,
    ~ member(X1,empty_set),
    inference(literals_permutation,[status(thm)],[c_0_302]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
    ! [X1,X2,X3] :
      ( ( equivalence(X2,X1)
        & member(X3,X1) )
     => member(X3,equivalence_class(X3,X1,X2)) ),
    file('<stdin>',thIII02) ).

fof(c_0_1_002,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( ( equivalence(X2,X1)
          & member(X3,X1) )
       => member(X3,equivalence_class(X3,X1,X2)) ),
    inference(assume_negation,[status(cth)],[c_0_0]) ).

fof(c_0_2_003,negated_conjecture,
    ( equivalence(esk2_0,esk1_0)
    & member(esk3_0,esk1_0)
    & ~ member(esk3_0,equivalence_class(esk3_0,esk1_0,esk2_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).

cnf(c_0_3_004,negated_conjecture,
    ~ member(esk3_0,equivalence_class(esk3_0,esk1_0,esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_005,negated_conjecture,
    equivalence(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5_006,negated_conjecture,
    member(esk3_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6_007,negated_conjecture,
    ~ member(esk3_0,equivalence_class(esk3_0,esk1_0,esk2_0)),
    c_0_3,
    [final] ).

cnf(c_0_7_008,negated_conjecture,
    equivalence(esk2_0,esk1_0),
    c_0_4,
    [final] ).

cnf(c_0_8_009,negated_conjecture,
    member(esk3_0,esk1_0),
    c_0_5,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_263,plain,
    ( member(X0,equivalence_class(X1,X2,X3))
    | ~ apply(X3,X1,X0)
    | ~ member(X0,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p',c_0_220_2) ).

cnf(c_843,plain,
    ( member(X0,equivalence_class(X1,X2,X3))
    | ~ apply(X3,X1,X0)
    | ~ member(X0,X2) ),
    inference(copy,[status(esa)],[c_263]) ).

cnf(c_58707,plain,
    ( member(sk2_esk3_0,equivalence_class(X0,sk2_esk1_0,X1))
    | ~ member(sk2_esk3_0,sk2_esk1_0)
    | ~ apply(X1,X0,sk2_esk3_0) ),
    inference(instantiation,[status(thm)],[c_843]) ).

cnf(c_60973,plain,
    ( member(sk2_esk3_0,equivalence_class(sk2_esk3_0,sk2_esk1_0,sk2_esk2_0))
    | ~ member(sk2_esk3_0,sk2_esk1_0)
    | ~ apply(sk2_esk2_0,sk2_esk3_0,sk2_esk3_0) ),
    inference(instantiation,[status(thm)],[c_58707]) ).

cnf(c_92,plain,
    ( ~ member(X0,X1)
    | apply(X2,X0,X0)
    | ~ epred1_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p',c_0_263_1) ).

cnf(c_672,plain,
    ( ~ member(X0,X1)
    | apply(X2,X0,X0)
    | ~ epred1_2(X2,X1) ),
    inference(copy,[status(esa)],[c_92]) ).

cnf(c_58680,plain,
    ( ~ member(sk2_esk3_0,sk2_esk1_0)
    | ~ epred1_2(X0,sk2_esk1_0)
    | apply(X0,sk2_esk3_0,sk2_esk3_0) ),
    inference(instantiation,[status(thm)],[c_672]) ).

cnf(c_60012,plain,
    ( ~ member(sk2_esk3_0,sk2_esk1_0)
    | ~ epred1_2(sk2_esk2_0,sk2_esk1_0)
    | apply(sk2_esk2_0,sk2_esk3_0,sk2_esk3_0) ),
    inference(instantiation,[status(thm)],[c_58680]) ).

cnf(c_11,plain,
    ( epred1_2(X0,X1)
    | ~ equivalence(X0,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p',c_0_296_1) ).

cnf(c_591,plain,
    ( epred1_2(X0,X1)
    | ~ equivalence(X0,X1) ),
    inference(copy,[status(esa)],[c_11]) ).

cnf(c_58559,plain,
    ( epred1_2(sk2_esk2_0,sk2_esk1_0)
    | ~ equivalence(sk2_esk2_0,sk2_esk1_0) ),
    inference(instantiation,[status(thm)],[c_591]) ).

cnf(c_441,negated_conjecture,
    ~ member(sk2_esk3_0,equivalence_class(sk2_esk3_0,sk2_esk1_0,sk2_esk2_0)),
    file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p',c_0_6) ).

cnf(c_442,negated_conjecture,
    equivalence(sk2_esk2_0,sk2_esk1_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p',c_0_7) ).

cnf(c_443,negated_conjecture,
    member(sk2_esk3_0,sk2_esk1_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p',c_0_8) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_60973,c_60012,c_58559,c_441,c_442,c_443]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET766+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.14  % Command  : iprover_modulo %s %d
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jul 10 07:20:32 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running in mono-core mode
% 0.22/0.44  % Orienting using strategy Equiv(ClausalAll)
% 0.22/0.44  % FOF problem with conjecture
% 0.22/0.44  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_39daa1.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_52a94c.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_f9200c | grep -v "SZS"
% 0.22/0.47  
% 0.22/0.47  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.22/0.47  
% 0.22/0.47  % 
% 0.22/0.47  % ------  iProver source info 
% 0.22/0.47  
% 0.22/0.47  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.22/0.47  % git: non_committed_changes: true
% 0.22/0.47  % git: last_make_outside_of_git: true
% 0.22/0.47  
% 0.22/0.47  % 
% 0.22/0.47  % ------ Input Options
% 0.22/0.47  
% 0.22/0.47  % --out_options                         all
% 0.22/0.47  % --tptp_safe_out                       true
% 0.22/0.47  % --problem_path                        ""
% 0.22/0.47  % --include_path                        ""
% 0.22/0.47  % --clausifier                          .//eprover
% 0.22/0.47  % --clausifier_options                  --tstp-format  
% 0.22/0.47  % --stdin                               false
% 0.22/0.47  % --dbg_backtrace                       false
% 0.22/0.47  % --dbg_dump_prop_clauses               false
% 0.22/0.47  % --dbg_dump_prop_clauses_file          -
% 0.22/0.47  % --dbg_out_stat                        false
% 0.22/0.47  
% 0.22/0.47  % ------ General Options
% 0.22/0.47  
% 0.22/0.47  % --fof                                 false
% 0.22/0.47  % --time_out_real                       150.
% 0.22/0.47  % --time_out_prep_mult                  0.2
% 0.22/0.47  % --time_out_virtual                    -1.
% 0.22/0.47  % --schedule                            none
% 0.22/0.47  % --ground_splitting                    input
% 0.22/0.47  % --splitting_nvd                       16
% 0.22/0.47  % --non_eq_to_eq                        false
% 0.22/0.47  % --prep_gs_sim                         true
% 0.22/0.47  % --prep_unflatten                      false
% 0.22/0.47  % --prep_res_sim                        true
% 0.22/0.47  % --prep_upred                          true
% 0.22/0.47  % --res_sim_input                       true
% 0.22/0.47  % --clause_weak_htbl                    true
% 0.22/0.47  % --gc_record_bc_elim                   false
% 0.22/0.47  % --symbol_type_check                   false
% 0.22/0.47  % --clausify_out                        false
% 0.22/0.47  % --large_theory_mode                   false
% 0.22/0.47  % --prep_sem_filter                     none
% 0.22/0.47  % --prep_sem_filter_out                 false
% 0.22/0.47  % --preprocessed_out                    false
% 0.22/0.47  % --sub_typing                          false
% 0.22/0.47  % --brand_transform                     false
% 0.22/0.47  % --pure_diseq_elim                     true
% 0.22/0.47  % --min_unsat_core                      false
% 0.22/0.47  % --pred_elim                           true
% 0.22/0.47  % --add_important_lit                   false
% 0.22/0.47  % --soft_assumptions                    false
% 0.22/0.47  % --reset_solvers                       false
% 0.22/0.47  % --bc_imp_inh                          []
% 0.22/0.47  % --conj_cone_tolerance                 1.5
% 0.22/0.47  % --prolific_symb_bound                 500
% 0.22/0.47  % --lt_threshold                        2000
% 0.22/0.47  
% 0.22/0.47  % ------ SAT Options
% 0.22/0.47  
% 0.22/0.47  % --sat_mode                            false
% 0.22/0.47  % --sat_fm_restart_options              ""
% 0.22/0.47  % --sat_gr_def                          false
% 0.22/0.47  % --sat_epr_types                       true
% 0.22/0.47  % --sat_non_cyclic_types                false
% 0.22/0.47  % --sat_finite_models                   false
% 0.22/0.47  % --sat_fm_lemmas                       false
% 0.22/0.47  % --sat_fm_prep                         false
% 0.22/0.47  % --sat_fm_uc_incr                      true
% 0.22/0.47  % --sat_out_model                       small
% 0.22/0.47  % --sat_out_clauses                     false
% 0.22/0.47  
% 0.22/0.47  % ------ QBF Options
% 0.22/0.47  
% 0.22/0.47  % --qbf_mode                            false
% 0.22/0.47  % --qbf_elim_univ                       true
% 0.22/0.47  % --qbf_sk_in                           true
% 0.22/0.47  % --qbf_pred_elim                       true
% 0.22/0.47  % --qbf_split                           32
% 0.22/0.47  
% 0.22/0.47  % ------ BMC1 Options
% 0.22/0.47  
% 0.22/0.47  % --bmc1_incremental                    false
% 0.22/0.47  % --bmc1_axioms                         reachable_all
% 0.22/0.47  % --bmc1_min_bound                      0
% 0.22/0.47  % --bmc1_max_bound                      -1
% 0.22/0.47  % --bmc1_max_bound_default              -1
% 0.22/0.47  % --bmc1_symbol_reachability            true
% 0.22/0.47  % --bmc1_property_lemmas                false
% 0.22/0.47  % --bmc1_k_induction                    false
% 0.22/0.47  % --bmc1_non_equiv_states               false
% 0.22/0.47  % --bmc1_deadlock                       false
% 0.22/0.47  % --bmc1_ucm                            false
% 0.22/0.47  % --bmc1_add_unsat_core                 none
% 0.22/0.47  % --bmc1_unsat_core_children            false
% 0.22/0.47  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.22/0.47  % --bmc1_out_stat                       full
% 0.22/0.47  % --bmc1_ground_init                    false
% 0.22/0.47  % --bmc1_pre_inst_next_state            false
% 0.22/0.47  % --bmc1_pre_inst_state                 false
% 0.22/0.47  % --bmc1_pre_inst_reach_state           false
% 0.22/0.47  % --bmc1_out_unsat_core                 false
% 0.22/0.47  % --bmc1_aig_witness_out                false
% 0.22/0.47  % --bmc1_verbose                        false
% 0.22/0.47  % --bmc1_dump_clauses_tptp              false
% 0.22/0.49  % --bmc1_dump_unsat_core_tptp           false
% 0.22/0.49  % --bmc1_dump_file                      -
% 0.22/0.49  % --bmc1_ucm_expand_uc_limit            128
% 0.22/0.49  % --bmc1_ucm_n_expand_iterations        6
% 0.22/0.49  % --bmc1_ucm_extend_mode                1
% 0.22/0.49  % --bmc1_ucm_init_mode                  2
% 0.22/0.49  % --bmc1_ucm_cone_mode                  none
% 0.22/0.49  % --bmc1_ucm_reduced_relation_type      0
% 0.22/0.49  % --bmc1_ucm_relax_model                4
% 0.22/0.49  % --bmc1_ucm_full_tr_after_sat          true
% 0.22/0.49  % --bmc1_ucm_expand_neg_assumptions     false
% 0.22/0.49  % --bmc1_ucm_layered_model              none
% 0.22/0.49  % --bmc1_ucm_max_lemma_size             10
% 0.22/0.49  
% 0.22/0.49  % ------ AIG Options
% 0.22/0.49  
% 0.22/0.49  % --aig_mode                            false
% 0.22/0.49  
% 0.22/0.49  % ------ Instantiation Options
% 0.22/0.49  
% 0.22/0.49  % --instantiation_flag                  true
% 0.22/0.49  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.22/0.49  % --inst_solver_per_active              750
% 0.22/0.49  % --inst_solver_calls_frac              0.5
% 0.22/0.49  % --inst_passive_queue_type             priority_queues
% 0.22/0.49  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.22/0.49  % --inst_passive_queues_freq            [25;2]
% 0.22/0.49  % --inst_dismatching                    true
% 0.22/0.49  % --inst_eager_unprocessed_to_passive   true
% 0.22/0.49  % --inst_prop_sim_given                 true
% 0.22/0.49  % --inst_prop_sim_new                   false
% 0.22/0.49  % --inst_orphan_elimination             true
% 0.22/0.49  % --inst_learning_loop_flag             true
% 0.22/0.49  % --inst_learning_start                 3000
% 0.22/0.49  % --inst_learning_factor                2
% 0.22/0.49  % --inst_start_prop_sim_after_learn     3
% 0.22/0.49  % --inst_sel_renew                      solver
% 0.22/0.49  % --inst_lit_activity_flag              true
% 0.22/0.49  % --inst_out_proof                      true
% 0.22/0.49  
% 0.22/0.49  % ------ Resolution Options
% 0.22/0.49  
% 0.22/0.49  % --resolution_flag                     true
% 0.22/0.49  % --res_lit_sel                         kbo_max
% 0.22/0.49  % --res_to_prop_solver                  none
% 0.22/0.49  % --res_prop_simpl_new                  false
% 0.22/0.49  % --res_prop_simpl_given                false
% 0.22/0.49  % --res_passive_queue_type              priority_queues
% 0.22/0.49  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.22/0.49  % --res_passive_queues_freq             [15;5]
% 0.22/0.49  % --res_forward_subs                    full
% 0.22/0.49  % --res_backward_subs                   full
% 0.22/0.49  % --res_forward_subs_resolution         true
% 0.22/0.49  % --res_backward_subs_resolution        true
% 0.22/0.49  % --res_orphan_elimination              false
% 0.22/0.49  % --res_time_limit                      1000.
% 0.22/0.49  % --res_out_proof                       true
% 0.22/0.49  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_39daa1.s
% 0.22/0.49  % --modulo                              true
% 0.22/0.49  
% 0.22/0.49  % ------ Combination Options
% 0.22/0.49  
% 0.22/0.49  % --comb_res_mult                       1000
% 0.22/0.49  % --comb_inst_mult                      300
% 0.22/0.49  % ------ 
% 0.22/0.49  
% 0.22/0.49  % ------ Parsing...% successful
% 0.22/0.49  
% 0.22/0.49  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.22/0.49  
% 0.22/0.49  % ------ Proving...
% 0.22/0.49  % ------ Problem Properties 
% 0.22/0.49  
% 0.22/0.49  % 
% 0.22/0.49  % EPR                                   false
% 0.22/0.49  % Horn                                  false
% 0.22/0.49  % Has equality                          true
% 0.22/0.49  
% 0.22/0.49  % % ------ Input Options Time Limit: Unbounded
% 0.22/0.49  
% 0.22/0.49  
% 0.22/0.49  % % ------ Current options:
% 0.22/0.49  
% 0.22/0.49  % ------ Input Options
% 0.22/0.49  
% 0.22/0.49  % --out_options                         all
% 0.22/0.49  % --tptp_safe_out                       true
% 0.22/0.49  % --problem_path                        ""
% 0.22/0.49  % --include_path                        ""
% 0.22/0.49  % --clausifier                          .//eprover
% 0.22/0.49  % --clausifier_options                  --tstp-format  
% 0.22/0.49  % --stdin                               false
% 0.22/0.49  % --dbg_backtrace                       false
% 0.22/0.49  % --dbg_dump_prop_clauses               false
% 0.22/0.49  % --dbg_dump_prop_clauses_file          -
% 0.22/0.49  % --dbg_out_stat                        false
% 0.22/0.49  
% 0.22/0.49  % ------ General Options
% 0.22/0.49  
% 0.22/0.49  % --fof                                 false
% 0.22/0.49  % --time_out_real                       150.
% 0.22/0.49  % --time_out_prep_mult                  0.2
% 0.22/0.49  % --time_out_virtual                    -1.
% 0.22/0.49  % --schedule                            none
% 0.22/0.49  % --ground_splitting                    input
% 0.22/0.49  % --splitting_nvd                       16
% 0.22/0.49  % --non_eq_to_eq                        false
% 0.22/0.49  % --prep_gs_sim                         true
% 0.22/0.49  % --prep_unflatten                      false
% 0.22/0.49  % --prep_res_sim                        true
% 0.22/0.49  % --prep_upred                          true
% 0.22/0.49  % --res_sim_input                       true
% 0.22/0.49  % --clause_weak_htbl                    true
% 0.22/0.49  % --gc_record_bc_elim                   false
% 0.22/0.49  % --symbol_type_check                   false
% 0.22/0.49  % --clausify_out                        false
% 0.22/0.49  % --large_theory_mode                   false
% 0.22/0.49  % --prep_sem_filter                     none
% 0.22/0.49  % --prep_sem_filter_out                 false
% 0.22/0.49  % --preprocessed_out                    false
% 0.22/0.49  % --sub_typing                          false
% 0.22/0.49  % --brand_transform                     false
% 0.22/0.49  % --pure_diseq_elim                     true
% 0.22/0.49  % --min_unsat_core                      false
% 0.22/0.49  % --pred_elim                           true
% 0.22/0.49  % --add_important_lit                   false
% 0.22/0.49  % --soft_assumptions                    false
% 0.22/0.49  % --reset_solvers                       false
% 0.22/0.49  % --bc_imp_inh                          []
% 0.22/0.49  % --conj_cone_tolerance                 1.5
% 0.22/0.49  % --prolific_symb_bound                 500
% 0.22/0.49  % --lt_threshold                        2000
% 0.22/0.49  
% 0.22/0.49  % ------ SAT Options
% 0.22/0.49  
% 0.22/0.49  % --sat_mode                            false
% 0.22/0.49  % --sat_fm_restart_options              ""
% 0.22/0.49  % --sat_gr_def                          false
% 0.22/0.49  % --sat_epr_types                       true
% 0.22/0.49  % --sat_non_cyclic_types                false
% 0.22/0.49  % --sat_finite_models                   false
% 0.22/0.49  % --sat_fm_lemmas                       false
% 0.22/0.49  % --sat_fm_prep                         false
% 0.22/0.49  % --sat_fm_uc_incr                      true
% 0.22/0.49  % --sat_out_model                       small
% 0.22/0.49  % --sat_out_clauses                     false
% 0.22/0.49  
% 0.22/0.49  % ------ QBF Options
% 0.22/0.49  
% 0.22/0.49  % --qbf_mode                            false
% 0.22/0.49  % --qbf_elim_univ                       true
% 0.22/0.49  % --qbf_sk_in                           true
% 0.22/0.49  % --qbf_pred_elim                       true
% 0.22/0.49  % --qbf_split                           32
% 0.22/0.49  
% 0.22/0.49  % ------ BMC1 Options
% 0.22/0.49  
% 0.22/0.49  % --bmc1_incremental                    false
% 0.22/0.49  % --bmc1_axioms                         reachable_all
% 0.22/0.49  % --bmc1_min_bound                      0
% 0.22/0.49  % --bmc1_max_bound                      -1
% 0.22/0.49  % --bmc1_max_bound_default              -1
% 0.22/0.49  % --bmc1_symbol_reachability            true
% 0.22/0.49  % --bmc1_property_lemmas                false
% 0.22/0.49  % --bmc1_k_induction                    false
% 0.22/0.49  % --bmc1_non_equiv_states               false
% 0.22/0.49  % --bmc1_deadlock                       false
% 0.22/0.49  % --bmc1_ucm                            false
% 0.22/0.49  % --bmc1_add_unsat_core                 none
% 0.22/0.49  % --bmc1_unsat_core_children            false
% 0.22/0.49  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.22/0.49  % --bmc1_out_stat                       full
% 0.22/0.49  % --bmc1_ground_init                    false
% 0.22/0.49  % --bmc1_pre_inst_next_state            false
% 0.22/0.49  % --bmc1_pre_inst_state                 false
% 0.22/0.49  % --bmc1_pre_inst_reach_state           false
% 0.22/0.49  % --bmc1_out_unsat_core                 false
% 0.22/0.49  % --bmc1_aig_witness_out                false
% 0.22/0.49  % --bmc1_verbose                        false
% 0.22/0.49  % --bmc1_dump_clauses_tptp              false
% 0.22/0.49  % --bmc1_dump_unsat_core_tptp           false
% 0.22/0.49  % --bmc1_dump_file                      -
% 0.22/0.49  % --bmc1_ucm_expand_uc_limit            128
% 0.22/0.49  % --bmc1_ucm_n_expand_iterations        6
% 0.22/0.49  % --bmc1_ucm_extend_mode                1
% 0.22/0.49  % --bmc1_ucm_init_mode                  2
% 0.22/0.49  % --bmc1_ucm_cone_mode                  none
% 0.22/0.49  % --bmc1_ucm_reduced_relation_type      0
% 0.22/0.49  % --bmc1_ucm_relax_model                4
% 0.22/0.49  % --bmc1_ucm_full_tr_after_sat          true
% 0.22/0.49  % --bmc1_ucm_expand_neg_assumptions     false
% 0.22/0.49  % --bmc1_ucm_layered_model              none
% 0.22/0.49  % --bmc1_ucm_max_lemma_size             10
% 0.22/0.49  
% 0.22/0.49  % ------ AIG Options
% 0.22/0.49  
% 0.22/0.49  % --aig_mode                            false
% 0.22/0.49  
% 0.22/0.49  % ------ Instantiation Options
% 0.22/0.49  
% 0.22/0.49  % --instantiation_flag                  true
% 0.22/0.49  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.22/0.49  % --inst_solver_per_active              750
% 0.22/0.49  % --inst_solver_calls_frac              0.5
% 0.22/0.49  % --inst_passive_queue_type             priority_queues
% 0.22/0.49  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.22/0.49  % --inst_passive_queues_freq            [25;2]
% 0.22/0.49  % --inst_dismatching                    true
% 0.22/0.49  % --inst_eager_unprocessed_to_passive   true
% 0.22/0.49  % --inst_prop_sim_given                 true
% 0.22/0.49  % --inst_prop_sim_new                   false
% 0.22/0.49  % --inst_orphan_elimination             true
% 0.22/0.49  % --inst_learning_loop_flag             true
% 0.22/0.49  % --inst_learning_start                 3000
% 0.22/0.49  % --inst_learning_factor                2
% 0.22/0.49  % --inst_start_prop_sim_after_learn     3
% 0.22/0.49  % --inst_sel_renew                      solver
% 0.22/0.49  % --inst_lit_activity_flag              true
% 0.22/0.49  % --inst_out_proof                      true
% 0.22/0.49  
% 0.22/0.49  % ------ Resolution Options
% 0.22/0.49  
% 0.22/0.49  % --resolution_flag                     true
% 0.22/0.49  % --res_lit_sel                         kbo_max
% 0.22/0.49  % --res_to_prop_solver                  none
% 0.22/0.49  % --res_prop_simpl_new                  false
% 0.22/0.49  % --res_prop_simpl_given                false
% 0.22/0.49  % --res_passive_queue_type              priority_queues
% 0.22/0.49  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.22/0.49  % --res_passive_queues_freq             [15;5]
% 0.22/0.49  % --res_forward_subs                    full
% 0.22/0.49  % --res_backward_subs                   full
% 0.22/0.49  % --res_forward_subs_resolution         true
% 0.22/0.49  % --res_backward_subs_resolution        true
% 0.22/0.49  % --res_orphan_elimination              false
% 0.22/0.49  % --res_time_limit                      1000.
% 0.22/0.49  % --res_out_proof                       true
% 0.22/0.49  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_39daa1.s
% 0.22/0.49  % --modulo                              true
% 0.22/0.49  
% 0.22/0.49  % ------ Combination Options
% 0.22/0.49  
% 0.22/0.49  % --comb_res_mult                       1000
% 0.22/0.49  % --comb_inst_mult                      300
% 0.22/0.49  % ------ 
% 0.22/0.49  
% 0.22/0.49  
% 0.22/0.49  
% 0.22/0.49  % ------ Proving...
% 0.22/0.49  % warning:  shown sat in sat incomplete mode 
% 0.22/0.49  % 
% 0.22/0.49  
% 0.22/0.49  
% 0.22/0.49  
% 0.22/0.49  
% 0.22/0.49  cnf(c_126,negated_conjecture,
% 0.22/0.49      ( equivalence(sk3_esk2_0,sk3_esk1_0) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_7) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_244,negated_conjecture,
% 0.22/0.49      ( equivalence(sk3_esk2_0,sk3_esk1_0) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_126]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_255,negated_conjecture,
% 0.22/0.49      ( equivalence(sk3_esk2_0,sk3_esk1_0) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_244]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_258,negated_conjecture,
% 0.22/0.49      ( equivalence(sk3_esk2_0,sk3_esk1_0) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_255]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_261,negated_conjecture,
% 0.22/0.49      ( equivalence(sk3_esk2_0,sk3_esk1_0) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_258]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_643,negated_conjecture,
% 0.22/0.49      ( equivalence(sk3_esk2_0,sk3_esk1_0) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_261]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_99,plain,
% 0.22/0.49      ( ~ member(X0,X1)
% 0.22/0.49      | ~ member(X2,X1)
% 0.22/0.49      | ~ member(X3,X1)
% 0.22/0.49      | ~ apply(X4,X0,X2)
% 0.22/0.49      | ~ apply(X4,X2,X3)
% 0.22/0.49      | apply(X4,X0,X3)
% 0.22/0.49      | ~ equivalence(X4,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_246_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_589,plain,
% 0.22/0.49      ( ~ member(X0,X1)
% 0.22/0.49      | ~ member(X2,X1)
% 0.22/0.49      | ~ member(X3,X1)
% 0.22/0.49      | ~ apply(X4,X0,X2)
% 0.22/0.49      | ~ apply(X4,X2,X3)
% 0.22/0.49      | apply(X4,X0,X3)
% 0.22/0.49      | ~ equivalence(X4,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_99]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_590,plain,
% 0.22/0.49      ( ~ member(X0,X1)
% 0.22/0.49      | ~ member(X2,X1)
% 0.22/0.49      | ~ member(X3,X1)
% 0.22/0.49      | ~ equivalence(X4,X1)
% 0.22/0.49      | ~ apply(X4,X0,X2)
% 0.22/0.49      | ~ apply(X4,X2,X3)
% 0.22/0.49      | apply(X4,X0,X3) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_589]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_653,plain,
% 0.22/0.49      ( ~ member(X0,sk3_esk1_0)
% 0.22/0.49      | ~ member(X1,sk3_esk1_0)
% 0.22/0.49      | ~ member(X2,sk3_esk1_0)
% 0.22/0.49      | ~ apply(sk3_esk2_0,X0,X1)
% 0.22/0.49      | ~ apply(sk3_esk2_0,X1,X2)
% 0.22/0.49      | apply(sk3_esk2_0,X0,X2) ),
% 0.22/0.49      inference(resolution,[status(thm)],[c_643,c_590]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_654,plain,
% 0.22/0.49      ( ~ member(X0,sk3_esk1_0)
% 0.22/0.49      | ~ member(X1,sk3_esk1_0)
% 0.22/0.49      | ~ member(X2,sk3_esk1_0)
% 0.22/0.49      | ~ apply(sk3_esk2_0,X0,X1)
% 0.22/0.49      | ~ apply(sk3_esk2_0,X1,X2)
% 0.22/0.49      | apply(sk3_esk2_0,X0,X2) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_653]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_63,plain,
% 0.22/0.49      ( ~ member(X0,X1)
% 0.22/0.49      | ~ member(X2,X1)
% 0.22/0.49      | ~ apply(X3,X0,X2)
% 0.22/0.49      | apply(X3,X2,X0)
% 0.22/0.49      | ~ equivalence(X3,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_282_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_517,plain,
% 0.22/0.49      ( ~ member(X0,X1)
% 0.22/0.49      | ~ member(X2,X1)
% 0.22/0.49      | ~ apply(X3,X0,X2)
% 0.22/0.49      | apply(X3,X2,X0)
% 0.22/0.49      | ~ equivalence(X3,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_63]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_518,plain,
% 0.22/0.49      ( ~ member(X0,X1)
% 0.22/0.49      | ~ member(X2,X1)
% 0.22/0.49      | ~ equivalence(X3,X1)
% 0.22/0.49      | ~ apply(X3,X0,X2)
% 0.22/0.49      | apply(X3,X2,X0) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_517]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_651,plain,
% 0.22/0.49      ( ~ member(X0,sk3_esk1_0)
% 0.22/0.49      | ~ member(X1,sk3_esk1_0)
% 0.22/0.49      | ~ apply(sk3_esk2_0,X0,X1)
% 0.22/0.49      | apply(sk3_esk2_0,X1,X0) ),
% 0.22/0.49      inference(resolution,[status(thm)],[c_643,c_518]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_652,plain,
% 0.22/0.49      ( ~ member(X0,sk3_esk1_0)
% 0.22/0.49      | ~ member(X1,sk3_esk1_0)
% 0.22/0.49      | ~ apply(sk3_esk2_0,X0,X1)
% 0.22/0.49      | apply(sk3_esk2_0,X1,X0) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_651]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_33,plain,
% 0.22/0.49      ( ~ member(X0,X1) | apply(X2,X0,X0) | ~ equivalence(X2,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_312_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_457,plain,
% 0.22/0.49      ( ~ member(X0,X1) | apply(X2,X0,X0) | ~ equivalence(X2,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_33]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_458,plain,
% 0.22/0.49      ( ~ member(X0,X1) | ~ equivalence(X2,X1) | apply(X2,X0,X0) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_457]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_649,plain,
% 0.22/0.49      ( ~ member(X0,sk3_esk1_0) | apply(sk3_esk2_0,X0,X0) ),
% 0.22/0.49      inference(resolution,[status(thm)],[c_643,c_458]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_650,plain,
% 0.22/0.49      ( ~ member(X0,sk3_esk1_0) | apply(sk3_esk2_0,X0,X0) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_649]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_124,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk18_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_221_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_639,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk18_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_124]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_640,plain,
% 0.22/0.49      ( ~ epred1_2(X0,X1)
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk18_2(X1,X0),sk1_esk20_2(X1,X0)) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_639]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_123,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk18_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk16_2(X1,X0),sk1_esk17_2(X1,X0))
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_222_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_637,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk18_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk16_2(X1,X0),sk1_esk17_2(X1,X0))
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_123]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_638,plain,
% 0.22/0.49      ( ~ epred1_2(X0,X1)
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk18_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk16_2(X1,X0),sk1_esk17_2(X1,X0)) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_637]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_122,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk18_2(X1,X0),sk1_esk19_2(X1,X0))
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_223_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_635,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk18_2(X1,X0),sk1_esk19_2(X1,X0))
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_122]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_636,plain,
% 0.22/0.49      ( ~ epred1_2(X0,X1)
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk18_2(X1,X0),sk1_esk19_2(X1,X0)) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_635]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_121,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk19_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_224_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_633,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk19_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_121]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_634,plain,
% 0.22/0.49      ( ~ epred1_2(X0,X1)
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk19_2(X1,X0),sk1_esk20_2(X1,X0)) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_633]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_120,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk18_2(X1,X0),sk1_esk19_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk16_2(X1,X0),sk1_esk17_2(X1,X0))
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_225_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_631,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk18_2(X1,X0),sk1_esk19_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk16_2(X1,X0),sk1_esk17_2(X1,X0))
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_120]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_632,plain,
% 0.22/0.49      ( ~ epred1_2(X0,X1)
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk18_2(X1,X0),sk1_esk19_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk16_2(X1,X0),sk1_esk17_2(X1,X0)) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_631]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_119,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk19_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk16_2(X1,X0),sk1_esk17_2(X1,X0))
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_226_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_629,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk19_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk16_2(X1,X0),sk1_esk17_2(X1,X0))
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_119]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_630,plain,
% 0.22/0.49      ( ~ epred1_2(X0,X1)
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk19_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk16_2(X1,X0),sk1_esk17_2(X1,X0)) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_629]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_118,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk18_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.49      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_227_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_627,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk18_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.49      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_118]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_628,plain,
% 0.22/0.49      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.49      | ~ epred1_2(X1,X0)
% 0.22/0.49      | ~ apply(X1,sk1_esk17_2(X0,X1),sk1_esk16_2(X0,X1))
% 0.22/0.49      | ~ apply(X1,sk1_esk18_2(X0,X1),sk1_esk20_2(X0,X1)) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_627]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_117,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk18_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | member(sk1_esk16_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_228_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_625,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk18_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | member(sk1_esk16_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_117]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_626,plain,
% 0.22/0.49      ( member(sk1_esk16_2(X0,X1),X0)
% 0.22/0.49      | ~ epred1_2(X1,X0)
% 0.22/0.49      | ~ apply(X1,sk1_esk15_2(X0,X1),sk1_esk15_2(X0,X1))
% 0.22/0.49      | ~ apply(X1,sk1_esk18_2(X0,X1),sk1_esk20_2(X0,X1)) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_625]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_116,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk18_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | member(sk1_esk17_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_229_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_623,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk18_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | member(sk1_esk17_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_116]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_624,plain,
% 0.22/0.49      ( member(sk1_esk17_2(X0,X1),X0)
% 0.22/0.49      | ~ epred1_2(X1,X0)
% 0.22/0.49      | ~ apply(X1,sk1_esk15_2(X0,X1),sk1_esk15_2(X0,X1))
% 0.22/0.49      | ~ apply(X1,sk1_esk18_2(X0,X1),sk1_esk20_2(X0,X1)) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_623]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_115,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | member(sk1_esk18_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_230_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_621,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | member(sk1_esk18_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_115]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_622,plain,
% 0.22/0.49      ( member(sk1_esk18_2(X0,X1),X0)
% 0.22/0.49      | ~ epred1_2(X1,X0)
% 0.22/0.49      | ~ apply(X1,sk1_esk15_2(X0,X1),sk1_esk15_2(X0,X1))
% 0.22/0.49      | ~ apply(X1,sk1_esk17_2(X0,X1),sk1_esk16_2(X0,X1)) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_621]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_114,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | member(sk1_esk19_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_231_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_619,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | member(sk1_esk19_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_114]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_620,plain,
% 0.22/0.49      ( member(sk1_esk19_2(X0,X1),X0)
% 0.22/0.49      | ~ epred1_2(X1,X0)
% 0.22/0.49      | ~ apply(X1,sk1_esk15_2(X0,X1),sk1_esk15_2(X0,X1))
% 0.22/0.49      | ~ apply(X1,sk1_esk17_2(X0,X1),sk1_esk16_2(X0,X1)) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_619]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_113,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | member(sk1_esk20_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_232_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_617,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.49      | ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | member(sk1_esk20_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_113]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_618,plain,
% 0.22/0.49      ( member(sk1_esk20_2(X0,X1),X0)
% 0.22/0.49      | ~ epred1_2(X1,X0)
% 0.22/0.49      | ~ apply(X1,sk1_esk15_2(X0,X1),sk1_esk15_2(X0,X1))
% 0.22/0.49      | ~ apply(X1,sk1_esk17_2(X0,X1),sk1_esk16_2(X0,X1)) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_617]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_112,plain,
% 0.22/0.49      ( ~ member(X0,X1)
% 0.22/0.49      | ~ apply(X2,X3,X0)
% 0.22/0.49      | member(X0,equivalence_class(X3,X1,X2)) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_233_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_615,plain,
% 0.22/0.49      ( ~ member(X0,X1)
% 0.22/0.49      | ~ apply(X2,X3,X0)
% 0.22/0.49      | member(X0,equivalence_class(X3,X1,X2)) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_112]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_616,plain,
% 0.22/0.49      ( member(X0,equivalence_class(X1,X2,X3))
% 0.22/0.49      | ~ member(X0,X2)
% 0.22/0.49      | ~ apply(X3,X1,X0) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_615]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_111,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk12_2(X0,X1),sk1_esk14_2(X0,X1))
% 0.22/0.49      | ~ apply(X0,sk1_esk11_2(X0,X1),sk1_esk11_2(X0,X1))
% 0.22/0.49      | pre_order(X0,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_234_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_613,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk12_2(X0,X1),sk1_esk14_2(X0,X1))
% 0.22/0.49      | ~ apply(X0,sk1_esk11_2(X0,X1),sk1_esk11_2(X0,X1))
% 0.22/0.49      | pre_order(X0,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_111]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_614,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk11_2(X0,X1),sk1_esk11_2(X0,X1))
% 0.22/0.49      | ~ apply(X0,sk1_esk12_2(X0,X1),sk1_esk14_2(X0,X1))
% 0.22/0.49      | pre_order(X0,X1) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_613]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_110,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk18_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk16_2(X1,X0),sk1_esk17_2(X1,X0))
% 0.22/0.49      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_235_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_611,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk18_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk16_2(X1,X0),sk1_esk17_2(X1,X0))
% 0.22/0.49      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_110]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_612,plain,
% 0.22/0.49      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.49      | ~ epred1_2(X1,X0)
% 0.22/0.49      | ~ apply(X1,sk1_esk18_2(X0,X1),sk1_esk20_2(X0,X1))
% 0.22/0.49      | apply(X1,sk1_esk16_2(X0,X1),sk1_esk17_2(X0,X1)) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_611]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_109,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk18_2(X1,X0),sk1_esk19_2(X1,X0))
% 0.22/0.49      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_236_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_609,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk18_2(X1,X0),sk1_esk19_2(X1,X0))
% 0.22/0.49      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_109]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_610,plain,
% 0.22/0.49      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.49      | ~ epred1_2(X1,X0)
% 0.22/0.49      | ~ apply(X1,sk1_esk17_2(X0,X1),sk1_esk16_2(X0,X1))
% 0.22/0.49      | apply(X1,sk1_esk18_2(X0,X1),sk1_esk19_2(X0,X1)) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_609]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_108,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk19_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_237_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_607,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk19_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_108]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_608,plain,
% 0.22/0.49      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.49      | ~ epred1_2(X1,X0)
% 0.22/0.49      | ~ apply(X1,sk1_esk17_2(X0,X1),sk1_esk16_2(X0,X1))
% 0.22/0.49      | apply(X1,sk1_esk19_2(X0,X1),sk1_esk20_2(X0,X1)) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_607]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_107,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk18_2(X1,X0),sk1_esk19_2(X1,X0))
% 0.22/0.49      | member(sk1_esk16_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_238_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_605,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk18_2(X1,X0),sk1_esk19_2(X1,X0))
% 0.22/0.49      | member(sk1_esk16_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_107]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_606,plain,
% 0.22/0.49      ( member(sk1_esk16_2(X0,X1),X0)
% 0.22/0.49      | ~ epred1_2(X1,X0)
% 0.22/0.49      | ~ apply(X1,sk1_esk15_2(X0,X1),sk1_esk15_2(X0,X1))
% 0.22/0.49      | apply(X1,sk1_esk18_2(X0,X1),sk1_esk19_2(X0,X1)) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_605]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_106,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk19_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | member(sk1_esk16_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_239_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_603,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk19_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | member(sk1_esk16_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_106]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_604,plain,
% 0.22/0.49      ( member(sk1_esk16_2(X0,X1),X0)
% 0.22/0.49      | ~ epred1_2(X1,X0)
% 0.22/0.49      | ~ apply(X1,sk1_esk15_2(X0,X1),sk1_esk15_2(X0,X1))
% 0.22/0.49      | apply(X1,sk1_esk19_2(X0,X1),sk1_esk20_2(X0,X1)) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_603]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_105,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk18_2(X1,X0),sk1_esk19_2(X1,X0))
% 0.22/0.49      | member(sk1_esk17_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_240_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_601,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk18_2(X1,X0),sk1_esk19_2(X1,X0))
% 0.22/0.49      | member(sk1_esk17_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_105]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_602,plain,
% 0.22/0.49      ( member(sk1_esk17_2(X0,X1),X0)
% 0.22/0.49      | ~ epred1_2(X1,X0)
% 0.22/0.49      | ~ apply(X1,sk1_esk15_2(X0,X1),sk1_esk15_2(X0,X1))
% 0.22/0.49      | apply(X1,sk1_esk18_2(X0,X1),sk1_esk19_2(X0,X1)) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_601]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_104,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk19_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | member(sk1_esk17_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_241_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_599,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | apply(X0,sk1_esk19_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.49      | member(sk1_esk17_2(X1,X0),X1)
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_104]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_600,plain,
% 0.22/0.49      ( member(sk1_esk17_2(X0,X1),X0)
% 0.22/0.49      | ~ epred1_2(X1,X0)
% 0.22/0.49      | ~ apply(X1,sk1_esk15_2(X0,X1),sk1_esk15_2(X0,X1))
% 0.22/0.49      | apply(X1,sk1_esk19_2(X0,X1),sk1_esk20_2(X0,X1)) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_599]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_103,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | member(sk1_esk18_2(X1,X0),X1)
% 0.22/0.49      | apply(X0,sk1_esk16_2(X1,X0),sk1_esk17_2(X1,X0))
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_242_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_597,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | member(sk1_esk18_2(X1,X0),X1)
% 0.22/0.49      | apply(X0,sk1_esk16_2(X1,X0),sk1_esk17_2(X1,X0))
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_103]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_598,plain,
% 0.22/0.49      ( member(sk1_esk18_2(X0,X1),X0)
% 0.22/0.49      | ~ epred1_2(X1,X0)
% 0.22/0.49      | ~ apply(X1,sk1_esk15_2(X0,X1),sk1_esk15_2(X0,X1))
% 0.22/0.49      | apply(X1,sk1_esk16_2(X0,X1),sk1_esk17_2(X0,X1)) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_597]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_102,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | member(sk1_esk19_2(X1,X0),X1)
% 0.22/0.49      | apply(X0,sk1_esk16_2(X1,X0),sk1_esk17_2(X1,X0))
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_243_0) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_595,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | member(sk1_esk19_2(X1,X0),X1)
% 0.22/0.49      | apply(X0,sk1_esk16_2(X1,X0),sk1_esk17_2(X1,X0))
% 0.22/0.49      | ~ epred1_2(X0,X1) ),
% 0.22/0.49      inference(copy,[status(esa)],[c_102]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_596,plain,
% 0.22/0.49      ( member(sk1_esk19_2(X0,X1),X0)
% 0.22/0.49      | ~ epred1_2(X1,X0)
% 0.22/0.49      | ~ apply(X1,sk1_esk15_2(X0,X1),sk1_esk15_2(X0,X1))
% 0.22/0.49      | apply(X1,sk1_esk16_2(X0,X1),sk1_esk17_2(X0,X1)) ),
% 0.22/0.49      inference(rewriting,[status(thm)],[c_595]) ).
% 0.22/0.49  
% 0.22/0.49  cnf(c_101,plain,
% 0.22/0.49      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.49      | member(sk1_esk20_2(X1,X0),X1)
% 0.22/0.50      | apply(X0,sk1_esk16_2(X1,X0),sk1_esk17_2(X1,X0))
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_244_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_593,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.50      | member(sk1_esk20_2(X1,X0),X1)
% 0.22/0.50      | apply(X0,sk1_esk16_2(X1,X0),sk1_esk17_2(X1,X0))
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_101]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_594,plain,
% 0.22/0.50      ( member(sk1_esk20_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0)
% 0.22/0.50      | ~ apply(X1,sk1_esk15_2(X0,X1),sk1_esk15_2(X0,X1))
% 0.22/0.50      | apply(X1,sk1_esk16_2(X0,X1),sk1_esk17_2(X0,X1)) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_593]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_98,plain,
% 0.22/0.50      ( apply(X0,X1,X2) | ~ member(X2,equivalence_class(X1,X3,X0)) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_247_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_587,plain,
% 0.22/0.50      ( apply(X0,X1,X2) | ~ member(X2,equivalence_class(X1,X3,X0)) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_98]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_588,plain,
% 0.22/0.50      ( ~ member(X0,equivalence_class(X1,X2,X3)) | apply(X3,X1,X0) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_587]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_95,plain,
% 0.22/0.50      ( apply(X0,sk1_esk18_2(X1,X0),sk1_esk19_2(X1,X0))
% 0.22/0.50      | apply(X0,sk1_esk16_2(X1,X0),sk1_esk17_2(X1,X0))
% 0.22/0.50      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_250_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_581,plain,
% 0.22/0.50      ( apply(X0,sk1_esk18_2(X1,X0),sk1_esk19_2(X1,X0))
% 0.22/0.50      | apply(X0,sk1_esk16_2(X1,X0),sk1_esk17_2(X1,X0))
% 0.22/0.50      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_95]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_582,plain,
% 0.22/0.50      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0)
% 0.22/0.50      | apply(X1,sk1_esk18_2(X0,X1),sk1_esk19_2(X0,X1))
% 0.22/0.50      | apply(X1,sk1_esk16_2(X0,X1),sk1_esk17_2(X0,X1)) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_581]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_94,plain,
% 0.22/0.50      ( apply(X0,sk1_esk19_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.50      | apply(X0,sk1_esk16_2(X1,X0),sk1_esk17_2(X1,X0))
% 0.22/0.50      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_251_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_579,plain,
% 0.22/0.50      ( apply(X0,sk1_esk19_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.50      | apply(X0,sk1_esk16_2(X1,X0),sk1_esk17_2(X1,X0))
% 0.22/0.50      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_94]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_580,plain,
% 0.22/0.50      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0)
% 0.22/0.50      | apply(X1,sk1_esk19_2(X0,X1),sk1_esk20_2(X0,X1))
% 0.22/0.50      | apply(X1,sk1_esk16_2(X0,X1),sk1_esk17_2(X0,X1)) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_579]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_93,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk18_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.50      | member(sk1_esk16_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_252_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_577,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk18_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.50      | member(sk1_esk16_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_93]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_578,plain,
% 0.22/0.50      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk16_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0)
% 0.22/0.50      | ~ apply(X1,sk1_esk18_2(X0,X1),sk1_esk20_2(X0,X1)) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_577]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_92,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk18_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.50      | member(sk1_esk17_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_253_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_575,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk18_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.50      | member(sk1_esk17_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_92]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_576,plain,
% 0.22/0.50      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk17_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0)
% 0.22/0.50      | ~ apply(X1,sk1_esk18_2(X0,X1),sk1_esk20_2(X0,X1)) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_575]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_91,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.50      | member(sk1_esk18_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_254_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_573,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.50      | member(sk1_esk18_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_91]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_574,plain,
% 0.22/0.50      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk18_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0)
% 0.22/0.50      | ~ apply(X1,sk1_esk17_2(X0,X1),sk1_esk16_2(X0,X1)) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_573]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_90,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.50      | member(sk1_esk19_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_255_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_571,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.50      | member(sk1_esk19_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_90]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_572,plain,
% 0.22/0.50      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk19_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0)
% 0.22/0.50      | ~ apply(X1,sk1_esk17_2(X0,X1),sk1_esk16_2(X0,X1)) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_571]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_89,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.50      | member(sk1_esk20_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_256_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_569,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk17_2(X1,X0),sk1_esk16_2(X1,X0))
% 0.22/0.50      | member(sk1_esk20_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_89]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_570,plain,
% 0.22/0.50      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk20_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0)
% 0.22/0.50      | ~ apply(X1,sk1_esk17_2(X0,X1),sk1_esk16_2(X0,X1)) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_569]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_88,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.50      | member(sk1_esk18_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk16_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_257_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_567,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.50      | member(sk1_esk18_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk16_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_88]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_568,plain,
% 0.22/0.50      ( member(sk1_esk18_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk16_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0)
% 0.22/0.50      | ~ apply(X1,sk1_esk15_2(X0,X1),sk1_esk15_2(X0,X1)) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_567]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_87,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.50      | member(sk1_esk19_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk16_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_258_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_565,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.50      | member(sk1_esk19_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk16_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_87]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_566,plain,
% 0.22/0.50      ( member(sk1_esk19_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk16_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0)
% 0.22/0.50      | ~ apply(X1,sk1_esk15_2(X0,X1),sk1_esk15_2(X0,X1)) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_565]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_86,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.50      | member(sk1_esk20_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk16_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_259_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_563,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.50      | member(sk1_esk20_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk16_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_86]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_564,plain,
% 0.22/0.50      ( member(sk1_esk20_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk16_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0)
% 0.22/0.50      | ~ apply(X1,sk1_esk15_2(X0,X1),sk1_esk15_2(X0,X1)) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_563]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_85,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.50      | member(sk1_esk18_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk17_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_260_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_561,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.50      | member(sk1_esk18_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk17_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_85]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_562,plain,
% 0.22/0.50      ( member(sk1_esk17_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk18_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0)
% 0.22/0.50      | ~ apply(X1,sk1_esk15_2(X0,X1),sk1_esk15_2(X0,X1)) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_561]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_84,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.50      | member(sk1_esk19_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk17_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_261_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_559,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.50      | member(sk1_esk19_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk17_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_84]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_560,plain,
% 0.22/0.50      ( member(sk1_esk17_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk19_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0)
% 0.22/0.50      | ~ apply(X1,sk1_esk15_2(X0,X1),sk1_esk15_2(X0,X1)) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_559]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_83,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.50      | member(sk1_esk20_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk17_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_262_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_557,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk15_2(X1,X0),sk1_esk15_2(X1,X0))
% 0.22/0.50      | member(sk1_esk20_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk17_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_83]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_558,plain,
% 0.22/0.50      ( member(sk1_esk17_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk20_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0)
% 0.22/0.50      | ~ apply(X1,sk1_esk15_2(X0,X1),sk1_esk15_2(X0,X1)) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_557]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_82,plain,
% 0.22/0.50      ( member(X0,X1) | ~ member(X0,equivalence_class(X2,X1,X3)) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_263_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_555,plain,
% 0.22/0.50      ( member(X0,X1) | ~ member(X0,equivalence_class(X2,X1,X3)) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_82]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_556,plain,
% 0.22/0.50      ( ~ member(X0,equivalence_class(X1,X2,X3)) | member(X0,X2) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_555]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_81,plain,
% 0.22/0.50      ( ~ member(X0,X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X2,X1),X0)
% 0.22/0.50      | ~ subset(sk1_esk6_2(X2,X1),X2)
% 0.22/0.50      | member(sk1_esk10_2(X2,X1),sk1_esk8_2(X2,X1))
% 0.22/0.50      | partition(X1,X2) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_264_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_553,plain,
% 0.22/0.50      ( ~ member(X0,X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X2,X1),X0)
% 0.22/0.50      | ~ subset(sk1_esk6_2(X2,X1),X2)
% 0.22/0.50      | member(sk1_esk10_2(X2,X1),sk1_esk8_2(X2,X1))
% 0.22/0.50      | partition(X1,X2) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_81]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_554,plain,
% 0.22/0.50      ( ~ member(sk1_esk7_2(X0,X1),X2)
% 0.22/0.50      | member(sk1_esk10_2(X0,X1),sk1_esk8_2(X0,X1))
% 0.22/0.50      | ~ member(X2,X1)
% 0.22/0.50      | ~ subset(sk1_esk6_2(X0,X1),X0)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_553]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_80,plain,
% 0.22/0.50      ( ~ member(X0,X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X2,X1),X0)
% 0.22/0.50      | ~ subset(sk1_esk6_2(X2,X1),X2)
% 0.22/0.50      | member(sk1_esk10_2(X2,X1),sk1_esk9_2(X2,X1))
% 0.22/0.50      | partition(X1,X2) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_265_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_551,plain,
% 0.22/0.50      ( ~ member(X0,X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X2,X1),X0)
% 0.22/0.50      | ~ subset(sk1_esk6_2(X2,X1),X2)
% 0.22/0.50      | member(sk1_esk10_2(X2,X1),sk1_esk9_2(X2,X1))
% 0.22/0.50      | partition(X1,X2) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_80]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_552,plain,
% 0.22/0.50      ( ~ member(sk1_esk7_2(X0,X1),X2)
% 0.22/0.50      | member(sk1_esk10_2(X0,X1),sk1_esk9_2(X0,X1))
% 0.22/0.50      | ~ member(X2,X1)
% 0.22/0.50      | ~ subset(sk1_esk6_2(X0,X1),X0)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_551]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_79,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk12_2(X0,X1),sk1_esk14_2(X0,X1))
% 0.22/0.50      | member(sk1_esk11_2(X0,X1),X1)
% 0.22/0.50      | pre_order(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_266_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_549,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk12_2(X0,X1),sk1_esk14_2(X0,X1))
% 0.22/0.50      | member(sk1_esk11_2(X0,X1),X1)
% 0.22/0.50      | pre_order(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_79]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_550,plain,
% 0.22/0.50      ( member(sk1_esk11_2(X0,X1),X1)
% 0.22/0.50      | ~ apply(X0,sk1_esk12_2(X0,X1),sk1_esk14_2(X0,X1))
% 0.22/0.50      | pre_order(X0,X1) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_549]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_78,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk11_2(X0,X1),sk1_esk11_2(X0,X1))
% 0.22/0.50      | member(sk1_esk12_2(X0,X1),X1)
% 0.22/0.50      | pre_order(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_267_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_547,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk11_2(X0,X1),sk1_esk11_2(X0,X1))
% 0.22/0.50      | member(sk1_esk12_2(X0,X1),X1)
% 0.22/0.50      | pre_order(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_78]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_548,plain,
% 0.22/0.50      ( member(sk1_esk12_2(X0,X1),X1)
% 0.22/0.50      | ~ apply(X0,sk1_esk11_2(X0,X1),sk1_esk11_2(X0,X1))
% 0.22/0.50      | pre_order(X0,X1) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_547]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_77,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk11_2(X0,X1),sk1_esk11_2(X0,X1))
% 0.22/0.50      | member(sk1_esk13_2(X0,X1),X1)
% 0.22/0.50      | pre_order(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_268_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_545,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk11_2(X0,X1),sk1_esk11_2(X0,X1))
% 0.22/0.50      | member(sk1_esk13_2(X0,X1),X1)
% 0.22/0.50      | pre_order(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_77]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_546,plain,
% 0.22/0.50      ( member(sk1_esk13_2(X0,X1),X1)
% 0.22/0.50      | ~ apply(X0,sk1_esk11_2(X0,X1),sk1_esk11_2(X0,X1))
% 0.22/0.50      | pre_order(X0,X1) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_545]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_76,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk11_2(X0,X1),sk1_esk11_2(X0,X1))
% 0.22/0.50      | member(sk1_esk14_2(X0,X1),X1)
% 0.22/0.50      | pre_order(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_269_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_543,plain,
% 0.22/0.50      ( ~ apply(X0,sk1_esk11_2(X0,X1),sk1_esk11_2(X0,X1))
% 0.22/0.50      | member(sk1_esk14_2(X0,X1),X1)
% 0.22/0.50      | pre_order(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_76]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_544,plain,
% 0.22/0.50      ( member(sk1_esk14_2(X0,X1),X1)
% 0.22/0.50      | ~ apply(X0,sk1_esk11_2(X0,X1),sk1_esk11_2(X0,X1))
% 0.22/0.50      | pre_order(X0,X1) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_543]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_75,plain,
% 0.22/0.50      ( apply(X0,sk1_esk18_2(X1,X0),sk1_esk19_2(X1,X0))
% 0.22/0.50      | member(sk1_esk16_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_270_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_541,plain,
% 0.22/0.50      ( apply(X0,sk1_esk18_2(X1,X0),sk1_esk19_2(X1,X0))
% 0.22/0.50      | member(sk1_esk16_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_75]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_542,plain,
% 0.22/0.50      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk16_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0)
% 0.22/0.50      | apply(X1,sk1_esk18_2(X0,X1),sk1_esk19_2(X0,X1)) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_541]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_74,plain,
% 0.22/0.50      ( apply(X0,sk1_esk19_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.50      | member(sk1_esk16_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_271_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_539,plain,
% 0.22/0.50      ( apply(X0,sk1_esk19_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.50      | member(sk1_esk16_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_74]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_540,plain,
% 0.22/0.50      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk16_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0)
% 0.22/0.50      | apply(X1,sk1_esk19_2(X0,X1),sk1_esk20_2(X0,X1)) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_539]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_73,plain,
% 0.22/0.50      ( apply(X0,sk1_esk18_2(X1,X0),sk1_esk19_2(X1,X0))
% 0.22/0.50      | member(sk1_esk17_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_272_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_537,plain,
% 0.22/0.50      ( apply(X0,sk1_esk18_2(X1,X0),sk1_esk19_2(X1,X0))
% 0.22/0.50      | member(sk1_esk17_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_73]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_538,plain,
% 0.22/0.50      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk17_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0)
% 0.22/0.50      | apply(X1,sk1_esk18_2(X0,X1),sk1_esk19_2(X0,X1)) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_537]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_72,plain,
% 0.22/0.50      ( apply(X0,sk1_esk19_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.50      | member(sk1_esk17_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_273_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_535,plain,
% 0.22/0.50      ( apply(X0,sk1_esk19_2(X1,X0),sk1_esk20_2(X1,X0))
% 0.22/0.50      | member(sk1_esk17_2(X1,X0),X1)
% 0.22/0.50      | member(sk1_esk15_2(X1,X0),X1)
% 0.22/0.50      | ~ epred1_2(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_72]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_536,plain,
% 0.22/0.50      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk17_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0)
% 0.22/0.50      | apply(X1,sk1_esk19_2(X0,X1),sk1_esk20_2(X0,X1)) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_535]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_71,plain,
% 0.22/0.50      ( member(sk1_esk18_2(X0,X1),X0)
% 0.22/0.50      | apply(X1,sk1_esk16_2(X0,X1),sk1_esk17_2(X0,X1))
% 0.22/0.50      | member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_274_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_533,plain,
% 0.22/0.50      ( member(sk1_esk18_2(X0,X1),X0)
% 0.22/0.50      | apply(X1,sk1_esk16_2(X0,X1),sk1_esk17_2(X0,X1))
% 0.22/0.50      | member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_71]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_534,plain,
% 0.22/0.50      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk18_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0)
% 0.22/0.50      | apply(X1,sk1_esk16_2(X0,X1),sk1_esk17_2(X0,X1)) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_533]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_70,plain,
% 0.22/0.50      ( member(sk1_esk19_2(X0,X1),X0)
% 0.22/0.50      | apply(X1,sk1_esk16_2(X0,X1),sk1_esk17_2(X0,X1))
% 0.22/0.50      | member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_275_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_531,plain,
% 0.22/0.50      ( member(sk1_esk19_2(X0,X1),X0)
% 0.22/0.50      | apply(X1,sk1_esk16_2(X0,X1),sk1_esk17_2(X0,X1))
% 0.22/0.50      | member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_70]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_532,plain,
% 0.22/0.50      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk19_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0)
% 0.22/0.50      | apply(X1,sk1_esk16_2(X0,X1),sk1_esk17_2(X0,X1)) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_531]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_69,plain,
% 0.22/0.50      ( member(sk1_esk20_2(X0,X1),X0)
% 0.22/0.50      | apply(X1,sk1_esk16_2(X0,X1),sk1_esk17_2(X0,X1))
% 0.22/0.50      | member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_276_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_529,plain,
% 0.22/0.50      ( member(sk1_esk20_2(X0,X1),X0)
% 0.22/0.50      | apply(X1,sk1_esk16_2(X0,X1),sk1_esk17_2(X0,X1))
% 0.22/0.50      | member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_69]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_530,plain,
% 0.22/0.50      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk20_2(X0,X1),X0)
% 0.22/0.50      | ~ epred1_2(X1,X0)
% 0.22/0.50      | apply(X1,sk1_esk16_2(X0,X1),sk1_esk17_2(X0,X1)) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_529]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_68,plain,
% 0.22/0.50      ( sk1_esk9_2(X0,X1) != sk1_esk8_2(X0,X1)
% 0.22/0.50      | ~ member(X2,X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X0,X1),X2)
% 0.22/0.50      | ~ subset(sk1_esk6_2(X0,X1),X0)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_277_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_527,plain,
% 0.22/0.50      ( sk1_esk9_2(X0,X1) != sk1_esk8_2(X0,X1)
% 0.22/0.50      | ~ member(X2,X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X0,X1),X2)
% 0.22/0.50      | ~ subset(sk1_esk6_2(X0,X1),X0)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_68]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_528,plain,
% 0.22/0.50      ( ~ member(sk1_esk7_2(X0,X1),X2)
% 0.22/0.50      | ~ member(X2,X1)
% 0.22/0.50      | ~ subset(sk1_esk6_2(X0,X1),X0)
% 0.22/0.50      | partition(X1,X0)
% 0.22/0.50      | sk1_esk9_2(X0,X1) != sk1_esk8_2(X0,X1) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_527]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_67,plain,
% 0.22/0.50      ( ~ member(X0,X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X2,X1),X0)
% 0.22/0.50      | member(sk1_esk10_2(X2,X1),sk1_esk8_2(X2,X1))
% 0.22/0.50      | member(sk1_esk6_2(X2,X1),X1)
% 0.22/0.50      | partition(X1,X2) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_278_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_525,plain,
% 0.22/0.50      ( ~ member(X0,X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X2,X1),X0)
% 0.22/0.50      | member(sk1_esk10_2(X2,X1),sk1_esk8_2(X2,X1))
% 0.22/0.50      | member(sk1_esk6_2(X2,X1),X1)
% 0.22/0.50      | partition(X1,X2) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_67]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_526,plain,
% 0.22/0.50      ( member(sk1_esk6_2(X0,X1),X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X0,X1),X2)
% 0.22/0.50      | member(sk1_esk10_2(X0,X1),sk1_esk8_2(X0,X1))
% 0.22/0.50      | ~ member(X2,X1)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_525]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_66,plain,
% 0.22/0.50      ( ~ member(X0,X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X2,X1),X0)
% 0.22/0.50      | member(sk1_esk10_2(X2,X1),sk1_esk9_2(X2,X1))
% 0.22/0.50      | member(sk1_esk6_2(X2,X1),X1)
% 0.22/0.50      | partition(X1,X2) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_279_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_523,plain,
% 0.22/0.50      ( ~ member(X0,X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X2,X1),X0)
% 0.22/0.50      | member(sk1_esk10_2(X2,X1),sk1_esk9_2(X2,X1))
% 0.22/0.50      | member(sk1_esk6_2(X2,X1),X1)
% 0.22/0.50      | partition(X1,X2) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_66]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_524,plain,
% 0.22/0.50      ( member(sk1_esk6_2(X0,X1),X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X0,X1),X2)
% 0.22/0.50      | member(sk1_esk10_2(X0,X1),sk1_esk9_2(X0,X1))
% 0.22/0.50      | ~ member(X2,X1)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_523]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_65,plain,
% 0.22/0.50      ( ~ member(X0,X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X2,X1),X0)
% 0.22/0.50      | ~ subset(sk1_esk6_2(X2,X1),X2)
% 0.22/0.50      | member(sk1_esk8_2(X2,X1),X1)
% 0.22/0.50      | partition(X1,X2) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_280_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_521,plain,
% 0.22/0.50      ( ~ member(X0,X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X2,X1),X0)
% 0.22/0.50      | ~ subset(sk1_esk6_2(X2,X1),X2)
% 0.22/0.50      | member(sk1_esk8_2(X2,X1),X1)
% 0.22/0.50      | partition(X1,X2) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_65]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_522,plain,
% 0.22/0.50      ( ~ member(sk1_esk7_2(X0,X1),X2)
% 0.22/0.50      | member(sk1_esk8_2(X0,X1),X1)
% 0.22/0.50      | ~ member(X2,X1)
% 0.22/0.50      | ~ subset(sk1_esk6_2(X0,X1),X0)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_521]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_64,plain,
% 0.22/0.50      ( ~ member(X0,X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X2,X1),X0)
% 0.22/0.50      | ~ subset(sk1_esk6_2(X2,X1),X2)
% 0.22/0.50      | member(sk1_esk9_2(X2,X1),X1)
% 0.22/0.50      | partition(X1,X2) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_281_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_519,plain,
% 0.22/0.50      ( ~ member(X0,X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X2,X1),X0)
% 0.22/0.50      | ~ subset(sk1_esk6_2(X2,X1),X2)
% 0.22/0.50      | member(sk1_esk9_2(X2,X1),X1)
% 0.22/0.50      | partition(X1,X2) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_64]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_520,plain,
% 0.22/0.50      ( ~ member(sk1_esk7_2(X0,X1),X2)
% 0.22/0.50      | member(sk1_esk9_2(X0,X1),X1)
% 0.22/0.50      | ~ member(X2,X1)
% 0.22/0.50      | ~ subset(sk1_esk6_2(X0,X1),X0)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_519]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_62,plain,
% 0.22/0.50      ( sk1_esk9_2(X0,X1) != sk1_esk8_2(X0,X1)
% 0.22/0.50      | ~ member(X2,X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X0,X1),X2)
% 0.22/0.50      | member(sk1_esk6_2(X0,X1),X1)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_283_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_515,plain,
% 0.22/0.50      ( sk1_esk9_2(X0,X1) != sk1_esk8_2(X0,X1)
% 0.22/0.50      | ~ member(X2,X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X0,X1),X2)
% 0.22/0.50      | member(sk1_esk6_2(X0,X1),X1)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_62]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_516,plain,
% 0.22/0.50      ( member(sk1_esk6_2(X0,X1),X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X0,X1),X2)
% 0.22/0.50      | ~ member(X2,X1)
% 0.22/0.50      | partition(X1,X0)
% 0.22/0.50      | sk1_esk9_2(X0,X1) != sk1_esk8_2(X0,X1) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_515]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_61,plain,
% 0.22/0.50      ( ~ subset(sk1_esk6_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk10_2(X0,X1),sk1_esk8_2(X0,X1))
% 0.22/0.50      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_284_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_513,plain,
% 0.22/0.50      ( ~ subset(sk1_esk6_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk10_2(X0,X1),sk1_esk8_2(X0,X1))
% 0.22/0.50      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_61]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_514,plain,
% 0.22/0.50      ( member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk10_2(X0,X1),sk1_esk8_2(X0,X1))
% 0.22/0.50      | ~ subset(sk1_esk6_2(X0,X1),X0)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_513]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_60,plain,
% 0.22/0.50      ( ~ subset(sk1_esk6_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk10_2(X0,X1),sk1_esk9_2(X0,X1))
% 0.22/0.50      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_285_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_511,plain,
% 0.22/0.50      ( ~ subset(sk1_esk6_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk10_2(X0,X1),sk1_esk9_2(X0,X1))
% 0.22/0.50      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_60]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_512,plain,
% 0.22/0.50      ( member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk10_2(X0,X1),sk1_esk9_2(X0,X1))
% 0.22/0.50      | ~ subset(sk1_esk6_2(X0,X1),X0)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_511]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_59,plain,
% 0.22/0.50      ( ~ member(X0,X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X2,X1),X0)
% 0.22/0.50      | member(sk1_esk8_2(X2,X1),X1)
% 0.22/0.50      | member(sk1_esk6_2(X2,X1),X1)
% 0.22/0.50      | partition(X1,X2) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_286_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_509,plain,
% 0.22/0.50      ( ~ member(X0,X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X2,X1),X0)
% 0.22/0.50      | member(sk1_esk8_2(X2,X1),X1)
% 0.22/0.50      | member(sk1_esk6_2(X2,X1),X1)
% 0.22/0.50      | partition(X1,X2) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_59]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_510,plain,
% 0.22/0.50      ( member(sk1_esk6_2(X0,X1),X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X0,X1),X2)
% 0.22/0.50      | member(sk1_esk8_2(X0,X1),X1)
% 0.22/0.50      | ~ member(X2,X1)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_509]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_58,plain,
% 0.22/0.50      ( ~ member(X0,X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X2,X1),X0)
% 0.22/0.50      | member(sk1_esk9_2(X2,X1),X1)
% 0.22/0.50      | member(sk1_esk6_2(X2,X1),X1)
% 0.22/0.50      | partition(X1,X2) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_287_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_507,plain,
% 0.22/0.50      ( ~ member(X0,X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X2,X1),X0)
% 0.22/0.50      | member(sk1_esk9_2(X2,X1),X1)
% 0.22/0.50      | member(sk1_esk6_2(X2,X1),X1)
% 0.22/0.50      | partition(X1,X2) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_58]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_508,plain,
% 0.22/0.50      ( member(sk1_esk6_2(X0,X1),X1)
% 0.22/0.50      | ~ member(sk1_esk7_2(X0,X1),X2)
% 0.22/0.50      | member(sk1_esk9_2(X0,X1),X1)
% 0.22/0.50      | ~ member(X2,X1)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_507]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_57,plain,
% 0.22/0.50      ( sk1_esk9_2(X0,X1) != sk1_esk8_2(X0,X1)
% 0.22/0.50      | ~ subset(sk1_esk6_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_288_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_505,plain,
% 0.22/0.50      ( sk1_esk9_2(X0,X1) != sk1_esk8_2(X0,X1)
% 0.22/0.50      | ~ subset(sk1_esk6_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_57]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_506,plain,
% 0.22/0.50      ( member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.50      | ~ subset(sk1_esk6_2(X0,X1),X0)
% 0.22/0.50      | partition(X1,X0)
% 0.22/0.50      | sk1_esk9_2(X0,X1) != sk1_esk8_2(X0,X1) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_505]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_56,plain,
% 0.22/0.50      ( apply(X0,sk1_esk12_2(X0,X1),sk1_esk13_2(X0,X1))
% 0.22/0.50      | member(sk1_esk11_2(X0,X1),X1)
% 0.22/0.50      | pre_order(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_289_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_503,plain,
% 0.22/0.50      ( apply(X0,sk1_esk12_2(X0,X1),sk1_esk13_2(X0,X1))
% 0.22/0.50      | member(sk1_esk11_2(X0,X1),X1)
% 0.22/0.50      | pre_order(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_56]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_504,plain,
% 0.22/0.50      ( member(sk1_esk11_2(X0,X1),X1)
% 0.22/0.50      | apply(X0,sk1_esk12_2(X0,X1),sk1_esk13_2(X0,X1))
% 0.22/0.50      | pre_order(X0,X1) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_503]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_55,plain,
% 0.22/0.50      ( apply(X0,sk1_esk13_2(X0,X1),sk1_esk14_2(X0,X1))
% 0.22/0.50      | member(sk1_esk11_2(X0,X1),X1)
% 0.22/0.50      | pre_order(X0,X1) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_290_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_501,plain,
% 0.22/0.50      ( apply(X0,sk1_esk13_2(X0,X1),sk1_esk14_2(X0,X1))
% 0.22/0.50      | member(sk1_esk11_2(X0,X1),X1)
% 0.22/0.50      | pre_order(X0,X1) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_55]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_502,plain,
% 0.22/0.50      ( member(sk1_esk11_2(X0,X1),X1)
% 0.22/0.50      | apply(X0,sk1_esk13_2(X0,X1),sk1_esk14_2(X0,X1))
% 0.22/0.50      | pre_order(X0,X1) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_501]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_54,plain,
% 0.22/0.50      ( member(sk1_esk10_2(X0,X1),sk1_esk8_2(X0,X1))
% 0.22/0.50      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk6_2(X0,X1),X1)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_291_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_499,plain,
% 0.22/0.50      ( member(sk1_esk10_2(X0,X1),sk1_esk8_2(X0,X1))
% 0.22/0.50      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk6_2(X0,X1),X1)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_54]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_500,plain,
% 0.22/0.50      ( member(sk1_esk6_2(X0,X1),X1)
% 0.22/0.50      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk10_2(X0,X1),sk1_esk8_2(X0,X1))
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_499]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_53,plain,
% 0.22/0.50      ( member(sk1_esk10_2(X0,X1),sk1_esk9_2(X0,X1))
% 0.22/0.50      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk6_2(X0,X1),X1)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_292_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_497,plain,
% 0.22/0.50      ( member(sk1_esk10_2(X0,X1),sk1_esk9_2(X0,X1))
% 0.22/0.50      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk6_2(X0,X1),X1)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_53]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_498,plain,
% 0.22/0.50      ( member(sk1_esk6_2(X0,X1),X1)
% 0.22/0.50      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk10_2(X0,X1),sk1_esk9_2(X0,X1))
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_497]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_52,plain,
% 0.22/0.50      ( ~ subset(sk1_esk6_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk8_2(X0,X1),X1)
% 0.22/0.50      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_293_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_495,plain,
% 0.22/0.50      ( ~ subset(sk1_esk6_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk8_2(X0,X1),X1)
% 0.22/0.50      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_52]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_496,plain,
% 0.22/0.50      ( member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk8_2(X0,X1),X1)
% 0.22/0.50      | ~ subset(sk1_esk6_2(X0,X1),X0)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_495]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_51,plain,
% 0.22/0.50      ( ~ subset(sk1_esk6_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk9_2(X0,X1),X1)
% 0.22/0.50      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_294_0) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_493,plain,
% 0.22/0.50      ( ~ subset(sk1_esk6_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk9_2(X0,X1),X1)
% 0.22/0.50      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(copy,[status(esa)],[c_51]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_494,plain,
% 0.22/0.50      ( member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.50      | member(sk1_esk9_2(X0,X1),X1)
% 0.22/0.50      | ~ subset(sk1_esk6_2(X0,X1),X0)
% 0.22/0.50      | partition(X1,X0) ),
% 0.22/0.50      inference(rewriting,[status(thm)],[c_493]) ).
% 0.22/0.50  
% 0.22/0.50  cnf(c_50,plain,
% 0.22/0.50      ( ~ member(X0,X1)
% 0.22/0.50      | member(sk1_esk5_3(X1,X2,X0),X2)
% 0.22/0.50      | ~ partition(X2,X1) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_295_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_491,plain,
% 0.22/0.51      ( ~ member(X0,X1)
% 0.22/0.51      | member(sk1_esk5_3(X1,X2,X0),X2)
% 0.22/0.51      | ~ partition(X2,X1) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_50]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_492,plain,
% 0.22/0.51      ( member(sk1_esk5_3(X0,X1,X2),X1)
% 0.22/0.51      | ~ member(X2,X0)
% 0.22/0.51      | ~ partition(X1,X0) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_491]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_49,plain,
% 0.22/0.51      ( ~ member(X0,X1)
% 0.22/0.51      | member(X0,sk1_esk5_3(X1,X2,X0))
% 0.22/0.51      | ~ partition(X2,X1) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_296_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_489,plain,
% 0.22/0.51      ( ~ member(X0,X1)
% 0.22/0.51      | member(X0,sk1_esk5_3(X1,X2,X0))
% 0.22/0.51      | ~ partition(X2,X1) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_49]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_490,plain,
% 0.22/0.51      ( member(X0,sk1_esk5_3(X1,X2,X0))
% 0.22/0.51      | ~ member(X0,X1)
% 0.22/0.51      | ~ partition(X2,X1) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_489]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_48,plain,
% 0.22/0.51      ( member(sk1_esk18_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk16_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.51      | ~ epred1_2(X1,X0) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_297_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_487,plain,
% 0.22/0.51      ( member(sk1_esk18_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk16_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.51      | ~ epred1_2(X1,X0) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_48]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_488,plain,
% 0.22/0.51      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk18_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk16_2(X0,X1),X0)
% 0.22/0.51      | ~ epred1_2(X1,X0) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_487]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_47,plain,
% 0.22/0.51      ( member(sk1_esk19_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk16_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.51      | ~ epred1_2(X1,X0) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_298_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_485,plain,
% 0.22/0.51      ( member(sk1_esk19_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk16_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.51      | ~ epred1_2(X1,X0) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_47]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_486,plain,
% 0.22/0.51      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk19_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk16_2(X0,X1),X0)
% 0.22/0.51      | ~ epred1_2(X1,X0) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_485]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_46,plain,
% 0.22/0.51      ( member(sk1_esk20_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk16_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.51      | ~ epred1_2(X1,X0) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_299_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_483,plain,
% 0.22/0.51      ( member(sk1_esk20_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk16_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.51      | ~ epred1_2(X1,X0) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_46]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_484,plain,
% 0.22/0.51      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk20_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk16_2(X0,X1),X0)
% 0.22/0.51      | ~ epred1_2(X1,X0) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_483]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_45,plain,
% 0.22/0.51      ( member(sk1_esk18_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk17_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.51      | ~ epred1_2(X1,X0) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_300_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_481,plain,
% 0.22/0.51      ( member(sk1_esk18_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk17_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.51      | ~ epred1_2(X1,X0) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_45]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_482,plain,
% 0.22/0.51      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk17_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk18_2(X0,X1),X0)
% 0.22/0.51      | ~ epred1_2(X1,X0) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_481]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_44,plain,
% 0.22/0.51      ( member(sk1_esk19_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk17_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.51      | ~ epred1_2(X1,X0) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_301_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_479,plain,
% 0.22/0.51      ( member(sk1_esk19_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk17_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.51      | ~ epred1_2(X1,X0) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_44]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_480,plain,
% 0.22/0.51      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk17_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk19_2(X0,X1),X0)
% 0.22/0.51      | ~ epred1_2(X1,X0) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_479]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_43,plain,
% 0.22/0.51      ( member(sk1_esk20_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk17_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.51      | ~ epred1_2(X1,X0) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_302_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_477,plain,
% 0.22/0.51      ( member(sk1_esk20_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk17_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.51      | ~ epred1_2(X1,X0) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_43]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_478,plain,
% 0.22/0.51      ( member(sk1_esk15_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk17_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk20_2(X0,X1),X0)
% 0.22/0.51      | ~ epred1_2(X1,X0) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_477]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_42,plain,
% 0.22/0.51      ( sk1_esk9_2(X0,X1) != sk1_esk8_2(X0,X1)
% 0.22/0.51      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk6_2(X0,X1),X1)
% 0.22/0.51      | partition(X1,X0) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_303_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_475,plain,
% 0.22/0.51      ( sk1_esk9_2(X0,X1) != sk1_esk8_2(X0,X1)
% 0.22/0.51      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk6_2(X0,X1),X1)
% 0.22/0.51      | partition(X1,X0) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_42]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_476,plain,
% 0.22/0.51      ( member(sk1_esk6_2(X0,X1),X1)
% 0.22/0.51      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.51      | partition(X1,X0)
% 0.22/0.51      | sk1_esk9_2(X0,X1) != sk1_esk8_2(X0,X1) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_475]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_41,plain,
% 0.22/0.51      ( member(sk1_esk8_2(X0,X1),X1)
% 0.22/0.51      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk6_2(X0,X1),X1)
% 0.22/0.51      | partition(X1,X0) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_304_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_473,plain,
% 0.22/0.51      ( member(sk1_esk8_2(X0,X1),X1)
% 0.22/0.51      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk6_2(X0,X1),X1)
% 0.22/0.51      | partition(X1,X0) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_41]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_474,plain,
% 0.22/0.51      ( member(sk1_esk6_2(X0,X1),X1)
% 0.22/0.51      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk8_2(X0,X1),X1)
% 0.22/0.51      | partition(X1,X0) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_473]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_40,plain,
% 0.22/0.51      ( member(sk1_esk9_2(X0,X1),X1)
% 0.22/0.51      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk6_2(X0,X1),X1)
% 0.22/0.51      | partition(X1,X0) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_305_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_471,plain,
% 0.22/0.51      ( member(sk1_esk9_2(X0,X1),X1)
% 0.22/0.51      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk6_2(X0,X1),X1)
% 0.22/0.51      | partition(X1,X0) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_40]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_472,plain,
% 0.22/0.51      ( member(sk1_esk6_2(X0,X1),X1)
% 0.22/0.51      | member(sk1_esk7_2(X0,X1),X0)
% 0.22/0.51      | member(sk1_esk9_2(X0,X1),X1)
% 0.22/0.51      | partition(X1,X0) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_471]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_39,plain,
% 0.22/0.51      ( ~ member(X0,X1)
% 0.22/0.51      | ~ member(X2,X1)
% 0.22/0.51      | ~ member(X3,X0)
% 0.22/0.51      | ~ member(X3,X2)
% 0.22/0.51      | X0 = X2
% 0.22/0.51      | ~ partition(X1,X4) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_306_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_469,plain,
% 0.22/0.51      ( ~ member(X0,X1)
% 0.22/0.51      | ~ member(X2,X1)
% 0.22/0.51      | ~ member(X3,X0)
% 0.22/0.51      | ~ member(X3,X2)
% 0.22/0.51      | X0 = X2
% 0.22/0.51      | ~ partition(X1,X4) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_39]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_470,plain,
% 0.22/0.51      ( ~ member(X0,X1)
% 0.22/0.51      | ~ member(X2,X1)
% 0.22/0.51      | ~ member(X3,X0)
% 0.22/0.51      | ~ member(X3,X2)
% 0.22/0.51      | ~ partition(X1,X4)
% 0.22/0.51      | X0 = X2 ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_469]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_38,plain,
% 0.22/0.51      ( ~ member(X0,X1) | ~ member(X0,X2) | member(X0,intersection(X1,X2)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_307_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_467,plain,
% 0.22/0.51      ( ~ member(X0,X1) | ~ member(X0,X2) | member(X0,intersection(X1,X2)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_38]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_468,plain,
% 0.22/0.51      ( member(X0,intersection(X1,X2)) | ~ member(X0,X1) | ~ member(X0,X2) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_467]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_37,plain,
% 0.22/0.51      ( member(sk1_esk12_2(X0,X1),X1)
% 0.22/0.51      | member(sk1_esk11_2(X0,X1),X1)
% 0.22/0.51      | pre_order(X0,X1) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_308_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_465,plain,
% 0.22/0.51      ( member(sk1_esk12_2(X0,X1),X1)
% 0.22/0.51      | member(sk1_esk11_2(X0,X1),X1)
% 0.22/0.51      | pre_order(X0,X1) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_37]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_466,plain,
% 0.22/0.51      ( member(sk1_esk11_2(X0,X1),X1)
% 0.22/0.51      | member(sk1_esk12_2(X0,X1),X1)
% 0.22/0.51      | pre_order(X0,X1) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_465]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_36,plain,
% 0.22/0.51      ( member(sk1_esk13_2(X0,X1),X1)
% 0.22/0.51      | member(sk1_esk11_2(X0,X1),X1)
% 0.22/0.51      | pre_order(X0,X1) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_309_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_463,plain,
% 0.22/0.51      ( member(sk1_esk13_2(X0,X1),X1)
% 0.22/0.51      | member(sk1_esk11_2(X0,X1),X1)
% 0.22/0.51      | pre_order(X0,X1) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_36]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_464,plain,
% 0.22/0.51      ( member(sk1_esk11_2(X0,X1),X1)
% 0.22/0.51      | member(sk1_esk13_2(X0,X1),X1)
% 0.22/0.51      | pre_order(X0,X1) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_463]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_35,plain,
% 0.22/0.51      ( member(sk1_esk14_2(X0,X1),X1)
% 0.22/0.51      | member(sk1_esk11_2(X0,X1),X1)
% 0.22/0.51      | pre_order(X0,X1) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_310_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_461,plain,
% 0.22/0.51      ( member(sk1_esk14_2(X0,X1),X1)
% 0.22/0.51      | member(sk1_esk11_2(X0,X1),X1)
% 0.22/0.51      | pre_order(X0,X1) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_35]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_462,plain,
% 0.22/0.51      ( member(sk1_esk11_2(X0,X1),X1)
% 0.22/0.51      | member(sk1_esk14_2(X0,X1),X1)
% 0.22/0.51      | pre_order(X0,X1) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_461]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_32,plain,
% 0.22/0.51      ( ~ member(X0,X1) | member(X0,X2) | member(X0,difference(X1,X2)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_313_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_455,plain,
% 0.22/0.51      ( ~ member(X0,X1) | member(X0,X2) | member(X0,difference(X1,X2)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_32]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_456,plain,
% 0.22/0.51      ( member(X0,difference(X1,X2)) | ~ member(X0,X1) | member(X0,X2) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_455]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_31,plain,
% 0.22/0.51      ( member(X0,X1) | member(X0,X2) | ~ member(X0,union(X1,X2)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_314_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_453,plain,
% 0.22/0.51      ( member(X0,X1) | member(X0,X2) | ~ member(X0,union(X1,X2)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_31]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_454,plain,
% 0.22/0.51      ( ~ member(X0,union(X1,X2)) | member(X0,X1) | member(X0,X2) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_453]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_30,plain,
% 0.22/0.51      ( ~ member(X0,sk1_esk3_2(X0,X1)) | member(X0,product(X1)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_315_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_451,plain,
% 0.22/0.51      ( ~ member(X0,sk1_esk3_2(X0,X1)) | member(X0,product(X1)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_30]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_452,plain,
% 0.22/0.51      ( member(X0,product(X1)) | ~ member(X0,sk1_esk3_2(X0,X1)) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_451]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_28,plain,
% 0.22/0.51      ( ~ member(X0,X1) | ~ member(X0,difference(X2,X1)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_317_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_447,plain,
% 0.22/0.51      ( ~ member(X0,X1) | ~ member(X0,difference(X2,X1)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_28]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_448,plain,
% 0.22/0.51      ( ~ member(X0,difference(X1,X2)) | ~ member(X0,X2) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_447]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_27,plain,
% 0.22/0.51      ( ~ member(X0,X1) | member(X0,union(X1,X2)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_318_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_445,plain,
% 0.22/0.51      ( ~ member(X0,X1) | member(X0,union(X1,X2)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_27]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_446,plain,
% 0.22/0.51      ( member(X0,union(X1,X2)) | ~ member(X0,X1) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_445]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_26,plain,
% 0.22/0.51      ( ~ member(X0,X1) | member(X0,union(X2,X1)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_319_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_443,plain,
% 0.22/0.51      ( ~ member(X0,X1) | member(X0,union(X2,X1)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_26]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_444,plain,
% 0.22/0.51      ( member(X0,union(X1,X2)) | ~ member(X0,X2) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_443]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_25,plain,
% 0.22/0.51      ( member(X0,X1) | ~ member(X0,difference(X1,X2)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_320_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_441,plain,
% 0.22/0.51      ( member(X0,X1) | ~ member(X0,difference(X1,X2)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_25]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_442,plain,
% 0.22/0.51      ( ~ member(X0,difference(X1,X2)) | member(X0,X1) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_441]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_24,plain,
% 0.22/0.51      ( member(X0,X1) | ~ member(X0,intersection(X1,X2)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_321_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_439,plain,
% 0.22/0.51      ( member(X0,X1) | ~ member(X0,intersection(X1,X2)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_24]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_440,plain,
% 0.22/0.51      ( ~ member(X0,intersection(X1,X2)) | member(X0,X1) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_439]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_23,plain,
% 0.22/0.51      ( member(X0,X1) | ~ member(X0,intersection(X2,X1)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_322_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_437,plain,
% 0.22/0.51      ( member(X0,X1) | ~ member(X0,intersection(X2,X1)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_23]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_438,plain,
% 0.22/0.51      ( ~ member(X0,intersection(X1,X2)) | member(X0,X2) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_437]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_21,plain,
% 0.22/0.51      ( ~ member(X0,X1) | ~ member(X2,X0) | member(X2,sum(X1)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_324_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_433,plain,
% 0.22/0.51      ( ~ member(X0,X1) | ~ member(X2,X0) | member(X2,sum(X1)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_21]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_434,plain,
% 0.22/0.51      ( member(X0,sum(X1)) | ~ member(X2,X1) | ~ member(X0,X2) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_433]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_20,plain,
% 0.22/0.51      ( ~ subset(X0,X1) | ~ subset(X1,X0) | equal_set(X0,X1) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_325_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_431,plain,
% 0.22/0.51      ( ~ subset(X0,X1) | ~ subset(X1,X0) | equal_set(X0,X1) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_20]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_432,plain,
% 0.22/0.51      ( equal_set(X0,X1) | ~ subset(X0,X1) | ~ subset(X1,X0) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_431]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_19,plain,
% 0.22/0.51      ( X0 = X1 | X0 = X2 | ~ member(X0,unordered_pair(X1,X2)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_326_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_429,plain,
% 0.22/0.51      ( X0 = X1 | X0 = X2 | ~ member(X0,unordered_pair(X1,X2)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_19]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_430,plain,
% 0.22/0.51      ( ~ member(X0,unordered_pair(X1,X2)) | X0 = X1 | X0 = X2 ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_429]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_18,plain,
% 0.22/0.51      ( X0 != X1 | member(X0,unordered_pair(X1,X2)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_327_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_427,plain,
% 0.22/0.51      ( X0 != X1 | member(X0,unordered_pair(X1,X2)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_18]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_428,plain,
% 0.22/0.51      ( member(X0,unordered_pair(X1,X2)) | X0 != X1 ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_427]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_17,plain,
% 0.22/0.51      ( X0 != X1 | member(X0,unordered_pair(X2,X1)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_328_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_425,plain,
% 0.22/0.51      ( X0 != X1 | member(X0,unordered_pair(X2,X1)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_17]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_426,plain,
% 0.22/0.51      ( member(X0,unordered_pair(X1,X2)) | X0 != X2 ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_425]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_12,plain,
% 0.22/0.51      ( member(X0,sk1_esk2_2(X0,X1)) | ~ member(X0,sum(X1)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_333_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_415,plain,
% 0.22/0.51      ( member(X0,sk1_esk2_2(X0,X1)) | ~ member(X0,sum(X1)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_12]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_416,plain,
% 0.22/0.51      ( ~ member(X0,sum(X1)) | member(X0,sk1_esk2_2(X0,X1)) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_415]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_9,plain,
% 0.22/0.51      ( ~ member(X0,X1) | member(X2,X0) | ~ member(X2,product(X1)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_336_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_409,plain,
% 0.22/0.51      ( ~ member(X0,X1) | member(X2,X0) | ~ member(X2,product(X1)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_9]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_410,plain,
% 0.22/0.51      ( ~ member(X0,product(X1)) | ~ member(X2,X1) | member(X0,X2) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_409]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_7,plain,
% 0.22/0.51      ( ~ subset(X0,X1) | member(X0,power_set(X1)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_338_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_405,plain,
% 0.22/0.51      ( ~ subset(X0,X1) | member(X0,power_set(X1)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_7]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_406,plain,
% 0.22/0.51      ( member(X0,power_set(X1)) | ~ subset(X0,X1) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_405]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_6,plain,
% 0.22/0.51      ( lhs_atom27(X0,X1) | epred1_2(X0,X1) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_339_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_403,plain,
% 0.22/0.51      ( lhs_atom27(X0,X1) | epred1_2(X0,X1) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_6]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_404,plain,
% 0.22/0.51      ( epred1_2(X0,X1) | lhs_atom27(X0,X1) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_403]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_5,plain,
% 0.22/0.51      ( subset(X0,X1) | ~ member(X0,power_set(X1)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_340_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_401,plain,
% 0.22/0.51      ( subset(X0,X1) | ~ member(X0,power_set(X1)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_5]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_402,plain,
% 0.22/0.51      ( ~ member(X0,power_set(X1)) | subset(X0,X1) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_401]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_4,plain,
% 0.22/0.51      ( subset(X0,X1) | ~ equal_set(X0,X1) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_341_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_399,plain,
% 0.22/0.51      ( subset(X0,X1) | ~ equal_set(X0,X1) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_4]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_400,plain,
% 0.22/0.51      ( ~ equal_set(X0,X1) | subset(X0,X1) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_399]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_3,plain,
% 0.22/0.51      ( subset(X0,X1) | ~ equal_set(X1,X0) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_342_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_397,plain,
% 0.22/0.51      ( subset(X0,X1) | ~ equal_set(X1,X0) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_3]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_398,plain,
% 0.22/0.51      ( ~ equal_set(X0,X1) | subset(X1,X0) ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_397]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_2,plain,
% 0.22/0.51      ( X0 != X1 | member(X0,singleton(X1)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_343_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_395,plain,
% 0.22/0.51      ( X0 != X1 | member(X0,singleton(X1)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_2]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_396,plain,
% 0.22/0.51      ( member(X0,singleton(X1)) | X0 != X1 ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_395]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_1,plain,
% 0.22/0.51      ( X0 = X1 | ~ member(X0,singleton(X1)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_344_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_393,plain,
% 0.22/0.51      ( X0 = X1 | ~ member(X0,singleton(X1)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_1]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_394,plain,
% 0.22/0.51      ( ~ member(X0,singleton(X1)) | X0 = X1 ),
% 0.22/0.51      inference(rewriting,[status(thm)],[c_393]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_127,negated_conjecture,
% 0.22/0.51      ( member(sk3_esk3_0,sk3_esk1_0) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_8) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_246,negated_conjecture,
% 0.22/0.51      ( member(sk3_esk3_0,sk3_esk1_0) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_127]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_256,negated_conjecture,
% 0.22/0.51      ( member(sk3_esk3_0,sk3_esk1_0) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_246]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_257,negated_conjecture,
% 0.22/0.51      ( member(sk3_esk3_0,sk3_esk1_0) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_256]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_262,negated_conjecture,
% 0.22/0.51      ( member(sk3_esk3_0,sk3_esk1_0) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_257]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_645,negated_conjecture,
% 0.22/0.51      ( member(sk3_esk3_0,sk3_esk1_0) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_262]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_125,negated_conjecture,
% 0.22/0.51      ( ~ member(sk3_esk3_0,equivalence_class(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_6) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_242,negated_conjecture,
% 0.22/0.51      ( ~ member(sk3_esk3_0,equivalence_class(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_125]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_254,negated_conjecture,
% 0.22/0.51      ( ~ member(sk3_esk3_0,equivalence_class(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_242]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_259,negated_conjecture,
% 0.22/0.51      ( ~ member(sk3_esk3_0,equivalence_class(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_254]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_260,negated_conjecture,
% 0.22/0.51      ( ~ member(sk3_esk3_0,equivalence_class(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_259]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_641,negated_conjecture,
% 0.22/0.51      ( ~ member(sk3_esk3_0,equivalence_class(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_260]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_100,plain,
% 0.22/0.51      ( ~ member(X0,X1)
% 0.22/0.51      | ~ member(X2,X1)
% 0.22/0.51      | ~ member(X3,X1)
% 0.22/0.51      | ~ apply(X4,X0,X2)
% 0.22/0.51      | ~ apply(X4,X2,X3)
% 0.22/0.51      | apply(X4,X0,X3)
% 0.22/0.51      | ~ pre_order(X4,X1) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_245_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_591,plain,
% 0.22/0.51      ( ~ member(X0,X1)
% 0.22/0.51      | ~ member(X2,X1)
% 0.22/0.51      | ~ member(X3,X1)
% 0.22/0.51      | ~ apply(X4,X0,X2)
% 0.22/0.51      | ~ apply(X4,X2,X3)
% 0.22/0.51      | apply(X4,X0,X3)
% 0.22/0.51      | ~ pre_order(X4,X1) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_100]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_97,plain,
% 0.22/0.51      ( ~ apply(X0,sk1_esk11_2(X0,X1),sk1_esk11_2(X0,X1))
% 0.22/0.51      | apply(X0,sk1_esk12_2(X0,X1),sk1_esk13_2(X0,X1))
% 0.22/0.51      | pre_order(X0,X1) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_248_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_585,plain,
% 0.22/0.51      ( ~ apply(X0,sk1_esk11_2(X0,X1),sk1_esk11_2(X0,X1))
% 0.22/0.51      | apply(X0,sk1_esk12_2(X0,X1),sk1_esk13_2(X0,X1))
% 0.22/0.51      | pre_order(X0,X1) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_97]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_96,plain,
% 0.22/0.51      ( ~ apply(X0,sk1_esk11_2(X0,X1),sk1_esk11_2(X0,X1))
% 0.22/0.51      | apply(X0,sk1_esk13_2(X0,X1),sk1_esk14_2(X0,X1))
% 0.22/0.51      | pre_order(X0,X1) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_249_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_583,plain,
% 0.22/0.51      ( ~ apply(X0,sk1_esk11_2(X0,X1),sk1_esk11_2(X0,X1))
% 0.22/0.51      | apply(X0,sk1_esk13_2(X0,X1),sk1_esk14_2(X0,X1))
% 0.22/0.51      | pre_order(X0,X1) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_96]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_34,plain,
% 0.22/0.51      ( ~ member(X0,X1) | apply(X2,X0,X0) | ~ pre_order(X2,X1) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_311_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_459,plain,
% 0.22/0.51      ( ~ member(X0,X1) | apply(X2,X0,X0) | ~ pre_order(X2,X1) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_34]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_29,plain,
% 0.22/0.51      ( ~ member(sk1_esk1_2(X0,X1),X0) | subset(X1,X0) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_316_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_449,plain,
% 0.22/0.51      ( ~ member(sk1_esk1_2(X0,X1),X0) | subset(X1,X0) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_29]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_22,plain,
% 0.22/0.51      ( ~ member(X0,X1) | ~ member(X0,X2) | ~ disjoint(X1,X2) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_323_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_435,plain,
% 0.22/0.51      ( ~ member(X0,X1) | ~ member(X0,X2) | ~ disjoint(X1,X2) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_22]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_16,plain,
% 0.22/0.51      ( member(sk1_esk4_2(X0,X1),X1) | disjoint(X1,X0) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_329_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_423,plain,
% 0.22/0.51      ( member(sk1_esk4_2(X0,X1),X1) | disjoint(X1,X0) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_16]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_15,plain,
% 0.22/0.51      ( member(sk1_esk4_2(X0,X1),X0) | disjoint(X1,X0) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_330_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_421,plain,
% 0.22/0.51      ( member(sk1_esk4_2(X0,X1),X0) | disjoint(X1,X0) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_15]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_14,plain,
% 0.22/0.51      ( member(sk1_esk3_2(X0,X1),X1) | member(X0,product(X1)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_331_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_419,plain,
% 0.22/0.51      ( member(sk1_esk3_2(X0,X1),X1) | member(X0,product(X1)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_14]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_13,plain,
% 0.22/0.51      ( member(sk1_esk2_2(X0,X1),X1) | ~ member(X0,sum(X1)) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_332_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_417,plain,
% 0.22/0.51      ( member(sk1_esk2_2(X0,X1),X1) | ~ member(X0,sum(X1)) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_13]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_11,plain,
% 0.22/0.51      ( member(sk1_esk1_2(X0,X1),X1) | subset(X1,X0) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_334_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_413,plain,
% 0.22/0.51      ( member(sk1_esk1_2(X0,X1),X1) | subset(X1,X0) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_11]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_10,plain,
% 0.22/0.51      ( ~ member(X0,X1) | subset(X0,X2) | ~ partition(X1,X2) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_335_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_411,plain,
% 0.22/0.51      ( ~ member(X0,X1) | subset(X0,X2) | ~ partition(X1,X2) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_10]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_8,plain,
% 0.22/0.51      ( ~ member(X0,X1) | member(X0,X2) | ~ subset(X1,X2) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_337_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_407,plain,
% 0.22/0.51      ( ~ member(X0,X1) | member(X0,X2) | ~ subset(X1,X2) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_8]) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_0,plain,
% 0.22/0.51      ( ~ member(X0,empty_set) ),
% 0.22/0.51      file('/export/starexec/sandbox/tmp/iprover_modulo_52a94c.p', c_0_345_0) ).
% 0.22/0.51  
% 0.22/0.51  cnf(c_391,plain,
% 0.22/0.51      ( ~ member(X0,empty_set) ),
% 0.22/0.51      inference(copy,[status(esa)],[c_0]) ).
% 0.22/0.51  
% 0.22/0.51  
% 0.22/0.51  
% 0.22/0.51  % ------                             Statistics
% 0.22/0.51  
% 0.22/0.51  % ------ General
% 0.22/0.51  
% 0.22/0.51  % num_of_input_clauses:                 128
% 0.22/0.51  % num_of_input_neg_conjectures:         3
% 0.22/0.51  % num_of_splits:                        0
% 0.22/0.51  % num_of_split_atoms:                   0
% 0.22/0.51  % num_of_sem_filtered_clauses:          0
% 0.22/0.51  % num_of_subtypes:                      0
% 0.22/0.51  % monotx_restored_types:                0
% 0.22/0.51  % sat_num_of_epr_types:                 0
% 0.22/0.51  % sat_num_of_non_cyclic_types:          0
% 0.22/0.51  % sat_guarded_non_collapsed_types:      0
% 0.22/0.51  % is_epr:                               0
% 0.22/0.51  % is_horn:                              0
% 0.22/0.51  % has_eq:                               1
% 0.22/0.51  % num_pure_diseq_elim:                  0
% 0.22/0.51  % simp_replaced_by:                     0
% 0.22/0.51  % res_preprocessed:                     6
% 0.22/0.51  % prep_upred:                           0
% 0.22/0.51  % prep_unflattend:                      0
% 0.22/0.51  % pred_elim_cands:                      0
% 0.22/0.51  % pred_elim:                            0
% 0.22/0.51  % pred_elim_cl:                         0
% 0.22/0.51  % pred_elim_cycles:                     0
% 0.22/0.51  % forced_gc_time:                       0
% 0.22/0.51  % gc_basic_clause_elim:                 0
% 0.22/0.51  % parsing_time:                         0.006
% 0.22/0.51  % sem_filter_time:                      0.
% 0.22/0.51  % pred_elim_time:                       0.
% 0.22/0.51  % out_proof_time:                       0.
% 0.22/0.51  % monotx_time:                          0.
% 0.22/0.51  % subtype_inf_time:                     0.
% 0.22/0.51  % unif_index_cands_time:                0.
% 0.22/0.51  % unif_index_add_time:                  0.
% 0.22/0.51  % total_time:                           0.061
% 0.22/0.51  % num_of_symbols:                       68
% 0.22/0.51  % num_of_terms:                         424
% 0.22/0.51  
% 0.22/0.51  % ------ Propositional Solver
% 0.22/0.51  
% 0.22/0.51  % prop_solver_calls:                    1
% 0.22/0.51  % prop_fast_solver_calls:               9
% 0.22/0.51  % prop_num_of_clauses:                  242
% 0.22/0.51  % prop_preprocess_simplified:           288
% 0.22/0.51  % prop_fo_subsumed:                     0
% 0.22/0.51  % prop_solver_time:                     0.
% 0.22/0.51  % prop_fast_solver_time:                0.
% 0.22/0.51  % prop_unsat_core_time:                 0.
% 0.22/0.51  
% 0.22/0.51  % ------ QBF 
% 0.22/0.51  
% 0.22/0.51  % qbf_q_res:                            0
% 0.22/0.51  % qbf_num_tautologies:                  0
% 0.22/0.51  % qbf_prep_cycles:                      0
% 0.22/0.51  
% 0.22/0.51  % ------ BMC1
% 0.22/0.51  
% 0.22/0.51  % bmc1_current_bound:                   -1
% 0.22/0.51  % bmc1_last_solved_bound:               -1
% 0.22/0.51  % bmc1_unsat_core_size:                 -1
% 0.22/0.51  % bmc1_unsat_core_parents_size:         -1
% 0.22/0.51  % bmc1_merge_next_fun:                  0
% 0.22/0.51  % bmc1_unsat_core_clauses_time:         0.
% 0.22/0.51  
% 0.22/0.51  % ------ Instantiation
% 0.22/0.51  
% 0.22/0.51  % inst_num_of_clauses:                  128
% 0.22/0.51  % inst_num_in_passive:                  0
% 0.22/0.51  % inst_num_in_active:                   0
% 0.22/0.51  % inst_num_in_unprocessed:              128
% 0.22/0.51  % inst_num_of_loops:                    0
% 0.22/0.51  % inst_num_of_learning_restarts:        0
% 0.22/0.51  % inst_num_moves_active_passive:        0
% 0.22/0.51  % inst_lit_activity:                    0
% 0.22/0.51  % inst_lit_activity_moves:              0
% 0.22/0.51  % inst_num_tautologies:                 0
% 0.22/0.51  % inst_num_prop_implied:                0
% 0.22/0.51  % inst_num_existing_simplified:         0
% 0.22/0.51  % inst_num_eq_res_simplified:           0
% 0.22/0.51  % inst_num_child_elim:                  0
% 0.22/0.51  % inst_num_of_dismatching_blockings:    0
% 0.22/0.51  % inst_num_of_non_proper_insts:         0
% 0.22/0.51  % inst_num_of_duplicates:               0
% 0.22/0.51  % inst_inst_num_from_inst_to_res:       0
% 0.22/0.51  % inst_dismatching_checking_time:       0.
% 0.22/0.51  
% 0.22/0.51  % ------ Resolution
% 0.22/0.51  
% 0.22/0.51  % res_num_of_clauses:                   242
% 0.22/0.51  % res_num_in_passive:                   0
% 0.22/0.51  % res_num_in_active:                    131
% 0.22/0.51  % res_num_of_loops:                     8
% 0.22/0.51  % res_forward_subset_subsumed:          1
% 0.22/0.51  % res_backward_subset_subsumed:         0
% 0.22/0.51  % res_forward_subsumed:                 1
% 0.22/0.51  % res_backward_subsumed:                0
% 0.22/0.51  % res_forward_subsumption_resolution:   0
% 0.22/0.51  % res_backward_subsumption_resolution:  0
% 0.22/0.51  % res_clause_to_clause_subsumption:     17
% 0.22/0.51  % res_orphan_elimination:               0
% 0.22/0.51  % res_tautology_del:                    1
% 0.22/0.51  % res_num_eq_res_simplified:            0
% 0.22/0.51  % res_num_sel_changes:                  0
% 0.22/0.51  % res_moves_from_active_to_pass:        0
% 0.22/0.51  
% 0.22/0.51  % Status Unknown
% 0.22/0.58  % Orienting using strategy ClausalAll
% 0.22/0.58  % FOF problem with conjecture
% 0.22/0.58  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_39daa1.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_52a94c.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_df1b55 | grep -v "SZS"
% 0.44/0.60  
% 0.44/0.60  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.44/0.60  
% 0.44/0.60  % 
% 0.44/0.60  % ------  iProver source info 
% 0.44/0.60  
% 0.44/0.60  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.44/0.60  % git: non_committed_changes: true
% 0.44/0.60  % git: last_make_outside_of_git: true
% 0.44/0.60  
% 0.44/0.60  % 
% 0.44/0.60  % ------ Input Options
% 0.44/0.60  
% 0.44/0.60  % --out_options                         all
% 0.44/0.60  % --tptp_safe_out                       true
% 0.44/0.60  % --problem_path                        ""
% 0.44/0.60  % --include_path                        ""
% 0.44/0.60  % --clausifier                          .//eprover
% 0.44/0.60  % --clausifier_options                  --tstp-format  
% 0.44/0.60  % --stdin                               false
% 0.44/0.60  % --dbg_backtrace                       false
% 0.44/0.60  % --dbg_dump_prop_clauses               false
% 0.44/0.60  % --dbg_dump_prop_clauses_file          -
% 0.44/0.60  % --dbg_out_stat                        false
% 0.44/0.60  
% 0.44/0.60  % ------ General Options
% 0.44/0.60  
% 0.44/0.60  % --fof                                 false
% 0.44/0.60  % --time_out_real                       150.
% 0.44/0.60  % --time_out_prep_mult                  0.2
% 0.44/0.60  % --time_out_virtual                    -1.
% 0.44/0.60  % --schedule                            none
% 0.44/0.60  % --ground_splitting                    input
% 0.44/0.60  % --splitting_nvd                       16
% 0.44/0.60  % --non_eq_to_eq                        false
% 0.44/0.60  % --prep_gs_sim                         true
% 0.44/0.60  % --prep_unflatten                      false
% 0.44/0.60  % --prep_res_sim                        true
% 0.44/0.60  % --prep_upred                          true
% 0.44/0.60  % --res_sim_input                       true
% 0.44/0.60  % --clause_weak_htbl                    true
% 0.44/0.60  % --gc_record_bc_elim                   false
% 0.44/0.60  % --symbol_type_check                   false
% 0.44/0.60  % --clausify_out                        false
% 0.44/0.60  % --large_theory_mode                   false
% 0.44/0.60  % --prep_sem_filter                     none
% 0.44/0.60  % --prep_sem_filter_out                 false
% 0.44/0.60  % --preprocessed_out                    false
% 0.44/0.60  % --sub_typing                          false
% 0.44/0.60  % --brand_transform                     false
% 0.44/0.60  % --pure_diseq_elim                     true
% 0.44/0.60  % --min_unsat_core                      false
% 0.44/0.60  % --pred_elim                           true
% 0.44/0.60  % --add_important_lit                   false
% 0.44/0.60  % --soft_assumptions                    false
% 0.44/0.60  % --reset_solvers                       false
% 0.44/0.60  % --bc_imp_inh                          []
% 0.44/0.60  % --conj_cone_tolerance                 1.5
% 0.44/0.60  % --prolific_symb_bound                 500
% 0.44/0.60  % --lt_threshold                        2000
% 0.44/0.60  
% 0.44/0.60  % ------ SAT Options
% 0.44/0.60  
% 0.44/0.60  % --sat_mode                            false
% 0.44/0.60  % --sat_fm_restart_options              ""
% 0.44/0.60  % --sat_gr_def                          false
% 0.44/0.60  % --sat_epr_types                       true
% 0.44/0.60  % --sat_non_cyclic_types                false
% 0.44/0.60  % --sat_finite_models                   false
% 0.44/0.60  % --sat_fm_lemmas                       false
% 0.44/0.60  % --sat_fm_prep                         false
% 0.44/0.60  % --sat_fm_uc_incr                      true
% 0.44/0.60  % --sat_out_model                       small
% 0.44/0.60  % --sat_out_clauses                     false
% 0.44/0.60  
% 0.44/0.60  % ------ QBF Options
% 0.44/0.60  
% 0.44/0.60  % --qbf_mode                            false
% 0.44/0.60  % --qbf_elim_univ                       true
% 0.44/0.60  % --qbf_sk_in                           true
% 0.44/0.60  % --qbf_pred_elim                       true
% 0.44/0.60  % --qbf_split                           32
% 0.44/0.60  
% 0.44/0.60  % ------ BMC1 Options
% 0.44/0.60  
% 0.44/0.60  % --bmc1_incremental                    false
% 0.44/0.60  % --bmc1_axioms                         reachable_all
% 0.44/0.60  % --bmc1_min_bound                      0
% 0.44/0.60  % --bmc1_max_bound                      -1
% 0.44/0.60  % --bmc1_max_bound_default              -1
% 0.44/0.60  % --bmc1_symbol_reachability            true
% 0.44/0.60  % --bmc1_property_lemmas                false
% 0.44/0.60  % --bmc1_k_induction                    false
% 0.44/0.60  % --bmc1_non_equiv_states               false
% 0.44/0.60  % --bmc1_deadlock                       false
% 0.44/0.60  % --bmc1_ucm                            false
% 0.44/0.60  % --bmc1_add_unsat_core                 none
% 0.44/0.60  % --bmc1_unsat_core_children            false
% 0.44/0.60  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.44/0.60  % --bmc1_out_stat                       full
% 0.44/0.60  % --bmc1_ground_init                    false
% 0.44/0.60  % --bmc1_pre_inst_next_state            false
% 0.44/0.60  % --bmc1_pre_inst_state                 false
% 0.44/0.60  % --bmc1_pre_inst_reach_state           false
% 0.44/0.60  % --bmc1_out_unsat_core                 false
% 0.44/0.60  % --bmc1_aig_witness_out                false
% 0.44/0.60  % --bmc1_verbose                        false
% 0.44/0.60  % --bmc1_dump_clauses_tptp              false
% 0.47/0.65  % --bmc1_dump_unsat_core_tptp           false
% 0.47/0.65  % --bmc1_dump_file                      -
% 0.47/0.65  % --bmc1_ucm_expand_uc_limit            128
% 0.47/0.65  % --bmc1_ucm_n_expand_iterations        6
% 0.47/0.65  % --bmc1_ucm_extend_mode                1
% 0.47/0.65  % --bmc1_ucm_init_mode                  2
% 0.47/0.65  % --bmc1_ucm_cone_mode                  none
% 0.47/0.65  % --bmc1_ucm_reduced_relation_type      0
% 0.47/0.65  % --bmc1_ucm_relax_model                4
% 0.47/0.65  % --bmc1_ucm_full_tr_after_sat          true
% 0.47/0.65  % --bmc1_ucm_expand_neg_assumptions     false
% 0.47/0.65  % --bmc1_ucm_layered_model              none
% 0.47/0.65  % --bmc1_ucm_max_lemma_size             10
% 0.47/0.65  
% 0.47/0.65  % ------ AIG Options
% 0.47/0.65  
% 0.47/0.65  % --aig_mode                            false
% 0.47/0.65  
% 0.47/0.65  % ------ Instantiation Options
% 0.47/0.65  
% 0.47/0.65  % --instantiation_flag                  true
% 0.47/0.65  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.47/0.65  % --inst_solver_per_active              750
% 0.47/0.65  % --inst_solver_calls_frac              0.5
% 0.47/0.65  % --inst_passive_queue_type             priority_queues
% 0.47/0.65  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.47/0.65  % --inst_passive_queues_freq            [25;2]
% 0.47/0.65  % --inst_dismatching                    true
% 0.47/0.65  % --inst_eager_unprocessed_to_passive   true
% 0.47/0.65  % --inst_prop_sim_given                 true
% 0.47/0.65  % --inst_prop_sim_new                   false
% 0.47/0.65  % --inst_orphan_elimination             true
% 0.47/0.65  % --inst_learning_loop_flag             true
% 0.47/0.65  % --inst_learning_start                 3000
% 0.47/0.65  % --inst_learning_factor                2
% 0.47/0.65  % --inst_start_prop_sim_after_learn     3
% 0.47/0.65  % --inst_sel_renew                      solver
% 0.47/0.65  % --inst_lit_activity_flag              true
% 0.47/0.65  % --inst_out_proof                      true
% 0.47/0.65  
% 0.47/0.65  % ------ Resolution Options
% 0.47/0.65  
% 0.47/0.65  % --resolution_flag                     true
% 0.47/0.65  % --res_lit_sel                         kbo_max
% 0.47/0.65  % --res_to_prop_solver                  none
% 0.47/0.65  % --res_prop_simpl_new                  false
% 0.47/0.65  % --res_prop_simpl_given                false
% 0.47/0.65  % --res_passive_queue_type              priority_queues
% 0.47/0.65  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.47/0.65  % --res_passive_queues_freq             [15;5]
% 0.47/0.65  % --res_forward_subs                    full
% 0.47/0.65  % --res_backward_subs                   full
% 0.47/0.65  % --res_forward_subs_resolution         true
% 0.47/0.65  % --res_backward_subs_resolution        true
% 0.47/0.65  % --res_orphan_elimination              false
% 0.47/0.65  % --res_time_limit                      1000.
% 0.47/0.65  % --res_out_proof                       true
% 0.47/0.65  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_39daa1.s
% 0.47/0.65  % --modulo                              true
% 0.47/0.65  
% 0.47/0.65  % ------ Combination Options
% 0.47/0.65  
% 0.47/0.65  % --comb_res_mult                       1000
% 0.47/0.65  % --comb_inst_mult                      300
% 0.47/0.65  % ------ 
% 0.47/0.65  
% 0.47/0.65  % ------ Parsing...% successful
% 0.47/0.65  
% 0.47/0.65  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.47/0.65  
% 0.47/0.65  % ------ Proving...
% 0.47/0.65  % ------ Problem Properties 
% 0.47/0.65  
% 0.47/0.65  % 
% 0.47/0.65  % EPR                                   false
% 0.47/0.65  % Horn                                  false
% 0.47/0.65  % Has equality                          true
% 0.47/0.65  
% 0.47/0.65  % % ------ Input Options Time Limit: Unbounded
% 0.47/0.65  
% 0.47/0.65  
% 0.47/0.65  % % ------ Current options:
% 0.47/0.65  
% 0.47/0.65  % ------ Input Options
% 0.47/0.65  
% 0.47/0.65  % --out_options                         all
% 0.47/0.65  % --tptp_safe_out                       true
% 0.47/0.65  % --problem_path                        ""
% 0.47/0.65  % --include_path                        ""
% 0.47/0.65  % --clausifier                          .//eprover
% 0.47/0.65  % --clausifier_options                  --tstp-format  
% 0.47/0.65  % --stdin                               false
% 0.47/0.65  % --dbg_backtrace                       false
% 0.47/0.65  % --dbg_dump_prop_clauses               false
% 0.47/0.65  % --dbg_dump_prop_clauses_file          -
% 0.47/0.65  % --dbg_out_stat                        false
% 0.47/0.65  
% 0.47/0.65  % ------ General Options
% 0.47/0.65  
% 0.47/0.65  % --fof                                 false
% 0.47/0.65  % --time_out_real                       150.
% 0.47/0.65  % --time_out_prep_mult                  0.2
% 0.47/0.65  % --time_out_virtual                    -1.
% 0.47/0.65  % --schedule                            none
% 0.47/0.65  % --ground_splitting                    input
% 0.47/0.65  % --splitting_nvd                       16
% 0.47/0.65  % --non_eq_to_eq                        false
% 0.47/0.65  % --prep_gs_sim                         true
% 0.47/0.65  % --prep_unflatten                      false
% 0.47/0.65  % --prep_res_sim                        true
% 0.47/0.65  % --prep_upred                          true
% 0.47/0.65  % --res_sim_input                       true
% 0.47/0.65  % --clause_weak_htbl                    true
% 0.47/0.65  % --gc_record_bc_elim                   false
% 0.47/0.65  % --symbol_type_check                   false
% 0.47/0.65  % --clausify_out                        false
% 0.47/0.65  % --large_theory_mode                   false
% 0.47/0.65  % --prep_sem_filter                     none
% 0.47/0.65  % --prep_sem_filter_out                 false
% 0.47/0.65  % --preprocessed_out                    false
% 0.47/0.65  % --sub_typing                          false
% 0.47/0.65  % --brand_transform                     false
% 0.47/0.65  % --pure_diseq_elim                     true
% 0.47/0.65  % --min_unsat_core                      false
% 0.47/0.65  % --pred_elim                           true
% 0.47/0.65  % --add_important_lit                   false
% 0.47/0.65  % --soft_assumptions                    false
% 0.47/0.65  % --reset_solvers                       false
% 0.47/0.65  % --bc_imp_inh                          []
% 0.47/0.65  % --conj_cone_tolerance                 1.5
% 0.47/0.65  % --prolific_symb_bound                 500
% 0.47/0.65  % --lt_threshold                        2000
% 0.47/0.65  
% 0.47/0.65  % ------ SAT Options
% 0.47/0.65  
% 0.47/0.65  % --sat_mode                            false
% 0.47/0.65  % --sat_fm_restart_options              ""
% 0.47/0.65  % --sat_gr_def                          false
% 0.47/0.65  % --sat_epr_types                       true
% 0.47/0.65  % --sat_non_cyclic_types                false
% 0.47/0.65  % --sat_finite_models                   false
% 0.47/0.65  % --sat_fm_lemmas                       false
% 0.47/0.65  % --sat_fm_prep                         false
% 0.47/0.65  % --sat_fm_uc_incr                      true
% 0.47/0.65  % --sat_out_model                       small
% 0.47/0.65  % --sat_out_clauses                     false
% 0.47/0.65  
% 0.47/0.65  % ------ QBF Options
% 0.47/0.65  
% 0.47/0.65  % --qbf_mode                            false
% 0.47/0.65  % --qbf_elim_univ                       true
% 0.47/0.65  % --qbf_sk_in                           true
% 0.47/0.65  % --qbf_pred_elim                       true
% 0.47/0.65  % --qbf_split                           32
% 0.47/0.65  
% 0.47/0.65  % ------ BMC1 Options
% 0.47/0.65  
% 0.47/0.65  % --bmc1_incremental                    false
% 0.47/0.65  % --bmc1_axioms                         reachable_all
% 0.47/0.65  % --bmc1_min_bound                      0
% 0.47/0.65  % --bmc1_max_bound                      -1
% 0.47/0.65  % --bmc1_max_bound_default              -1
% 0.47/0.65  % --bmc1_symbol_reachability            true
% 0.47/0.65  % --bmc1_property_lemmas                false
% 0.47/0.65  % --bmc1_k_induction                    false
% 0.47/0.65  % --bmc1_non_equiv_states               false
% 0.47/0.65  % --bmc1_deadlock                       false
% 0.47/0.65  % --bmc1_ucm                            false
% 0.47/0.65  % --bmc1_add_unsat_core                 none
% 0.47/0.65  % --bmc1_unsat_core_children            false
% 0.47/0.65  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.47/0.65  % --bmc1_out_stat                       full
% 0.47/0.65  % --bmc1_ground_init                    false
% 0.47/0.65  % --bmc1_pre_inst_next_state            false
% 0.47/0.65  % --bmc1_pre_inst_state                 false
% 0.47/0.65  % --bmc1_pre_inst_reach_state           false
% 0.47/0.65  % --bmc1_out_unsat_core                 false
% 0.47/0.65  % --bmc1_aig_witness_out                false
% 0.47/0.65  % --bmc1_verbose                        false
% 0.47/0.65  % --bmc1_dump_clauses_tptp              false
% 0.47/0.65  % --bmc1_dump_unsat_core_tptp           false
% 0.47/0.65  % --bmc1_dump_file                      -
% 0.47/0.65  % --bmc1_ucm_expand_uc_limit            128
% 0.47/0.65  % --bmc1_ucm_n_expand_iterations        6
% 0.47/0.65  % --bmc1_ucm_extend_mode                1
% 0.47/0.65  % --bmc1_ucm_init_mode                  2
% 0.47/0.65  % --bmc1_ucm_cone_mode                  none
% 0.47/0.65  % --bmc1_ucm_reduced_relation_type      0
% 0.47/0.65  % --bmc1_ucm_relax_model                4
% 0.47/0.65  % --bmc1_ucm_full_tr_after_sat          true
% 0.47/0.65  % --bmc1_ucm_expand_neg_assumptions     false
% 0.47/0.65  % --bmc1_ucm_layered_model              none
% 0.47/0.65  % --bmc1_ucm_max_lemma_size             10
% 0.47/0.65  
% 0.47/0.65  % ------ AIG Options
% 0.47/0.65  
% 0.47/0.65  % --aig_mode                            false
% 0.47/0.65  
% 0.47/0.65  % ------ Instantiation Options
% 0.47/0.65  
% 0.47/0.65  % --instantiation_flag                  true
% 0.47/0.65  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.47/0.65  % --inst_solver_per_active              750
% 0.47/0.65  % --inst_solver_calls_frac              0.5
% 0.47/0.65  % --inst_passive_queue_type             priority_queues
% 0.47/0.65  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.47/0.65  % --inst_passive_queues_freq            [25;2]
% 0.47/0.65  % --inst_dismatching                    true
% 0.47/0.65  % --inst_eager_unprocessed_to_passive   true
% 0.47/0.65  % --inst_prop_sim_given                 true
% 1.89/2.07  % --inst_prop_sim_new                   false
% 1.89/2.07  % --inst_orphan_elimination             true
% 1.89/2.07  % --inst_learning_loop_flag             true
% 1.89/2.07  % --inst_learning_start                 3000
% 1.89/2.07  % --inst_learning_factor                2
% 1.89/2.07  % --inst_start_prop_sim_after_learn     3
% 1.89/2.07  % --inst_sel_renew                      solver
% 1.89/2.07  % --inst_lit_activity_flag              true
% 1.89/2.07  % --inst_out_proof                      true
% 1.89/2.07  
% 1.89/2.07  % ------ Resolution Options
% 1.89/2.07  
% 1.89/2.07  % --resolution_flag                     true
% 1.89/2.07  % --res_lit_sel                         kbo_max
% 1.89/2.07  % --res_to_prop_solver                  none
% 1.89/2.07  % --res_prop_simpl_new                  false
% 1.89/2.07  % --res_prop_simpl_given                false
% 1.89/2.07  % --res_passive_queue_type              priority_queues
% 1.89/2.07  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.89/2.07  % --res_passive_queues_freq             [15;5]
% 1.89/2.07  % --res_forward_subs                    full
% 1.89/2.07  % --res_backward_subs                   full
% 1.89/2.07  % --res_forward_subs_resolution         true
% 1.89/2.07  % --res_backward_subs_resolution        true
% 1.89/2.07  % --res_orphan_elimination              false
% 1.89/2.07  % --res_time_limit                      1000.
% 1.89/2.07  % --res_out_proof                       true
% 1.89/2.07  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_39daa1.s
% 1.89/2.07  % --modulo                              true
% 1.89/2.07  
% 1.89/2.07  % ------ Combination Options
% 1.89/2.07  
% 1.89/2.07  % --comb_res_mult                       1000
% 1.89/2.07  % --comb_inst_mult                      300
% 1.89/2.07  % ------ 
% 1.89/2.07  
% 1.89/2.07  
% 1.89/2.07  
% 1.89/2.07  % ------ Proving...
% 1.89/2.07  % 
% 1.89/2.07  
% 1.89/2.07  
% 1.89/2.07  % ------                             Statistics
% 1.89/2.07  
% 1.89/2.07  % ------ General
% 1.89/2.07  
% 1.89/2.07  % num_of_input_clauses:                 444
% 1.89/2.07  % num_of_input_neg_conjectures:         3
% 1.89/2.07  % num_of_splits:                        0
% 1.89/2.07  % num_of_split_atoms:                   0
% 1.89/2.07  % num_of_sem_filtered_clauses:          0
% 1.89/2.07  % num_of_subtypes:                      0
% 1.89/2.07  % monotx_restored_types:                0
% 1.89/2.07  % sat_num_of_epr_types:                 0
% 1.89/2.07  % sat_num_of_non_cyclic_types:          0
% 1.89/2.07  % sat_guarded_non_collapsed_types:      0
% 1.89/2.07  % is_epr:                               0
% 1.89/2.07  % is_horn:                              0
% 1.89/2.07  % has_eq:                               1
% 1.89/2.07  % num_pure_diseq_elim:                  0
% 1.89/2.07  % simp_replaced_by:                     0
% 1.89/2.07  % res_preprocessed:                     6
% 1.89/2.07  % prep_upred:                           0
% 1.89/2.07  % prep_unflattend:                      0
% 1.89/2.07  % pred_elim_cands:                      0
% 1.89/2.07  % pred_elim:                            0
% 1.89/2.07  % pred_elim_cl:                         0
% 1.89/2.07  % pred_elim_cycles:                     0
% 1.89/2.07  % forced_gc_time:                       0
% 1.89/2.07  % gc_basic_clause_elim:                 0
% 1.89/2.07  % parsing_time:                         0.023
% 1.89/2.07  % sem_filter_time:                      0.
% 1.89/2.07  % pred_elim_time:                       0.
% 1.89/2.07  % out_proof_time:                       0.
% 1.89/2.07  % monotx_time:                          0.
% 1.89/2.07  % subtype_inf_time:                     0.
% 1.89/2.07  % unif_index_cands_time:                0.004
% 1.89/2.07  % unif_index_add_time:                  0.002
% 1.89/2.07  % total_time:                           1.485
% 1.89/2.07  % num_of_symbols:                       67
% 1.89/2.07  % num_of_terms:                         37290
% 1.89/2.07  
% 1.89/2.07  % ------ Propositional Solver
% 1.89/2.07  
% 1.89/2.07  % prop_solver_calls:                    4
% 1.89/2.07  % prop_fast_solver_calls:               9
% 1.89/2.07  % prop_num_of_clauses:                  1349
% 1.89/2.07  % prop_preprocess_simplified:           3762
% 1.89/2.07  % prop_fo_subsumed:                     0
% 1.89/2.07  % prop_solver_time:                     0.
% 1.89/2.07  % prop_fast_solver_time:                0.
% 1.89/2.07  % prop_unsat_core_time:                 0.
% 1.89/2.07  
% 1.89/2.07  % ------ QBF 
% 1.89/2.07  
% 1.89/2.07  % qbf_q_res:                            0
% 1.89/2.07  % qbf_num_tautologies:                  0
% 1.89/2.07  % qbf_prep_cycles:                      0
% 1.89/2.07  
% 1.89/2.07  % ------ BMC1
% 1.89/2.07  
% 1.89/2.07  % bmc1_current_bound:                   -1
% 1.89/2.07  % bmc1_last_solved_bound:               -1
% 1.89/2.07  % bmc1_unsat_core_size:                 -1
% 1.89/2.07  % bmc1_unsat_core_parents_size:         -1
% 1.89/2.07  % bmc1_merge_next_fun:                  0
% 1.89/2.07  % bmc1_unsat_core_clauses_time:         0.
% 1.89/2.07  
% 1.89/2.07  % ------ Instantiation
% 1.89/2.07  
% 1.89/2.07  % inst_num_of_clauses:                  1094
% 1.89/2.07  % inst_num_in_passive:                  839
% 1.89/2.07  % inst_num_in_active:                   188
% 1.89/2.07  % inst_num_in_unprocessed:              65
% 1.89/2.07  % inst_num_of_loops:                    225
% 1.89/2.07  % inst_num_of_learning_restarts:        0
% 1.89/2.07  % inst_num_moves_active_passive:        35
% 1.89/2.07  % inst_lit_activity:                    295
% 1.89/2.07  % inst_lit_activity_moves:              0
% 1.89/2.07  % inst_num_tautologies:                 0
% 1.89/2.07  % inst_num_prop_implied:                0
% 1.89/2.07  % inst_num_existing_simplified:         0
% 1.89/2.07  % inst_num_eq_res_simplified:           0
% 1.89/2.07  % inst_num_child_elim:                  0
% 1.89/2.07  % inst_num_of_dismatching_blockings:    248
% 1.89/2.07  % inst_num_of_non_proper_insts:         771
% 1.89/2.07  % inst_num_of_duplicates:               1063
% 1.89/2.07  % inst_inst_num_from_inst_to_res:       0
% 1.89/2.07  % inst_dismatching_checking_time:       0.
% 1.89/2.07  
% 1.89/2.07  % ------ Resolution
% 1.89/2.07  
% 1.89/2.07  % res_num_of_clauses:                   23913
% 1.89/2.07  % res_num_in_passive:                   22673
% 1.89/2.07  % res_num_in_active:                    861
% 1.89/2.07  % res_num_of_loops:                     1000
% 1.89/2.07  % res_forward_subset_subsumed:          1264
% 1.89/2.07  % res_backward_subset_subsumed:         15
% 1.89/2.07  % res_forward_subsumed:                 287
% 1.89/2.07  % res_backward_subsumed:                0
% 1.89/2.07  % res_forward_subsumption_resolution:   11
% 1.89/2.07  % res_backward_subsumption_resolution:  0
% 1.89/2.07  % res_clause_to_clause_subsumption:     10434
% 1.89/2.07  % res_orphan_elimination:               0
% 1.89/2.07  % res_tautology_del:                    210
% 1.89/2.07  % res_num_eq_res_simplified:            0
% 1.89/2.07  % res_num_sel_changes:                  0
% 1.89/2.07  % res_moves_from_active_to_pass:        0
% 1.89/2.07  
% 1.89/2.07  % Status Unsatisfiable
% 1.89/2.07  % SZS status Theorem
% 1.89/2.07  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------