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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SET805+4 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:15:26 PM UTC 2026

% Result   : Theorem 0.16s 0.51s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :    4
% Syntax   : Number of formulae    :  186 (   7 unt;   0 def)
%            Number of atoms       : 1073 (  41 equ)
%            Maximal formula atoms :  256 (   5 avg)
%            Number of connectives : 1282 ( 395   ~; 787   |;  81   &)
%                                         (   4 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   77 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :  324 (   0 sgn  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thIV17,conjecture,
    ! [X6,X4] :
      ( order(X6,X4)
     => ! [X3] :
          ( subset(X3,X4)
         => order(X6,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV17) ).

fof(subset,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( member(X3,X1)
         => member(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).

fof(order,axiom,
    ! [X6,X4] :
      ( order(X6,X4)
    <=> ( ! [X3,X5,X7] :
            ( ( member(X7,X4)
              & member(X5,X4)
              & member(X3,X4) )
           => ( ( apply(X6,X5,X7)
                & apply(X6,X3,X5) )
             => apply(X6,X3,X7) ) )
        & ! [X3,X5] :
            ( ( member(X5,X4)
              & member(X3,X4) )
           => ( ( apply(X6,X5,X3)
                & apply(X6,X3,X5) )
             => X3 = X5 ) )
        & ! [X3] :
            ( member(X3,X4)
           => apply(X6,X3,X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',order) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X6,X4] :
        ( order(X6,X4)
       => ! [X3] :
            ( subset(X3,X4)
           => order(X6,X3) ) ),
    inference(assume_negation,[status(cth)],[thIV17]) ).

fof(c_0_4,plain,
    ! [X4,X6] :
      ( epred1_2(X6,X4)
    <=> ( ! [X3,X5,X7] :
            ( ( member(X7,X4)
              & member(X5,X4)
              & member(X3,X4) )
           => ( ( apply(X6,X5,X7)
                & apply(X6,X3,X5) )
             => apply(X6,X3,X7) ) )
        & ! [X3,X5] :
            ( ( member(X5,X4)
              & member(X3,X4) )
           => ( ( apply(X6,X5,X3)
                & apply(X6,X3,X5) )
             => X3 = X5 ) )
        & ! [X3] :
            ( member(X3,X4)
           => apply(X6,X3,X3) ) ) ),
    introduced(definition) ).

fof(c_0_5,plain,
    ! [X14,X15,X16,X17,X18] :
      ( ( subset(X17,X18)
        | ~ member(esk4_2(X17,X18),X18) )
      & ( subset(X17,X18)
        | member(esk4_2(X17,X18),X17) )
      & ( member(X16,X15)
        | ~ member(X16,X14)
        | ~ subset(X14,X15) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[subset])])])])])])]) ).

fof(c_0_6,negated_conjecture,
    ( ~ order(esk1_0,esk3_0)
    & subset(esk3_0,esk2_0)
    & order(esk1_0,esk2_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).

fof(c_0_7,axiom,
    ! [X6,X4] :
      ( order(X6,X4)
    <=> epred1_2(X6,X4) ),
    inference(apply_def,[status(thm)],[order,c_0_4]) ).

fof(c_0_8,plain,
    ! [X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
      ( ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | esk6_2(X28,X29) != esk7_2(X28,X29)
        | ~ apply(X29,esk8_2(X28,X29),esk10_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | esk6_2(X28,X29) != esk7_2(X28,X29)
        | apply(X29,esk9_2(X28,X29),esk10_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | esk6_2(X28,X29) != esk7_2(X28,X29)
        | apply(X29,esk8_2(X28,X29),esk9_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | esk6_2(X28,X29) != esk7_2(X28,X29)
        | member(esk10_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | esk6_2(X28,X29) != esk7_2(X28,X29)
        | member(esk9_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | esk6_2(X28,X29) != esk7_2(X28,X29)
        | member(esk8_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | apply(X29,esk7_2(X28,X29),esk6_2(X28,X29))
        | ~ apply(X29,esk8_2(X28,X29),esk10_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | apply(X29,esk7_2(X28,X29),esk6_2(X28,X29))
        | apply(X29,esk9_2(X28,X29),esk10_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | apply(X29,esk7_2(X28,X29),esk6_2(X28,X29))
        | apply(X29,esk8_2(X28,X29),esk9_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | apply(X29,esk7_2(X28,X29),esk6_2(X28,X29))
        | member(esk10_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | apply(X29,esk7_2(X28,X29),esk6_2(X28,X29))
        | member(esk9_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | apply(X29,esk7_2(X28,X29),esk6_2(X28,X29))
        | member(esk8_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | apply(X29,esk6_2(X28,X29),esk7_2(X28,X29))
        | ~ apply(X29,esk8_2(X28,X29),esk10_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | apply(X29,esk6_2(X28,X29),esk7_2(X28,X29))
        | apply(X29,esk9_2(X28,X29),esk10_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | apply(X29,esk6_2(X28,X29),esk7_2(X28,X29))
        | apply(X29,esk8_2(X28,X29),esk9_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | apply(X29,esk6_2(X28,X29),esk7_2(X28,X29))
        | member(esk10_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | apply(X29,esk6_2(X28,X29),esk7_2(X28,X29))
        | member(esk9_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | apply(X29,esk6_2(X28,X29),esk7_2(X28,X29))
        | member(esk8_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | member(esk7_2(X28,X29),X28)
        | ~ apply(X29,esk8_2(X28,X29),esk10_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | member(esk7_2(X28,X29),X28)
        | apply(X29,esk9_2(X28,X29),esk10_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | member(esk7_2(X28,X29),X28)
        | apply(X29,esk8_2(X28,X29),esk9_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | member(esk7_2(X28,X29),X28)
        | member(esk10_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | member(esk7_2(X28,X29),X28)
        | member(esk9_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | member(esk7_2(X28,X29),X28)
        | member(esk8_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | member(esk6_2(X28,X29),X28)
        | ~ apply(X29,esk8_2(X28,X29),esk10_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | member(esk6_2(X28,X29),X28)
        | apply(X29,esk9_2(X28,X29),esk10_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | member(esk6_2(X28,X29),X28)
        | apply(X29,esk8_2(X28,X29),esk9_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | member(esk6_2(X28,X29),X28)
        | member(esk10_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | member(esk6_2(X28,X29),X28)
        | member(esk9_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | ~ apply(X29,esk5_2(X28,X29),esk5_2(X28,X29))
        | member(esk6_2(X28,X29),X28)
        | member(esk8_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | esk6_2(X28,X29) != esk7_2(X28,X29)
        | ~ apply(X29,esk8_2(X28,X29),esk10_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | esk6_2(X28,X29) != esk7_2(X28,X29)
        | apply(X29,esk9_2(X28,X29),esk10_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | esk6_2(X28,X29) != esk7_2(X28,X29)
        | apply(X29,esk8_2(X28,X29),esk9_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | esk6_2(X28,X29) != esk7_2(X28,X29)
        | member(esk10_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | esk6_2(X28,X29) != esk7_2(X28,X29)
        | member(esk9_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | esk6_2(X28,X29) != esk7_2(X28,X29)
        | member(esk8_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | apply(X29,esk7_2(X28,X29),esk6_2(X28,X29))
        | ~ apply(X29,esk8_2(X28,X29),esk10_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | apply(X29,esk7_2(X28,X29),esk6_2(X28,X29))
        | apply(X29,esk9_2(X28,X29),esk10_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | apply(X29,esk7_2(X28,X29),esk6_2(X28,X29))
        | apply(X29,esk8_2(X28,X29),esk9_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | apply(X29,esk7_2(X28,X29),esk6_2(X28,X29))
        | member(esk10_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | apply(X29,esk7_2(X28,X29),esk6_2(X28,X29))
        | member(esk9_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | apply(X29,esk7_2(X28,X29),esk6_2(X28,X29))
        | member(esk8_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | apply(X29,esk6_2(X28,X29),esk7_2(X28,X29))
        | ~ apply(X29,esk8_2(X28,X29),esk10_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | apply(X29,esk6_2(X28,X29),esk7_2(X28,X29))
        | apply(X29,esk9_2(X28,X29),esk10_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | apply(X29,esk6_2(X28,X29),esk7_2(X28,X29))
        | apply(X29,esk8_2(X28,X29),esk9_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | apply(X29,esk6_2(X28,X29),esk7_2(X28,X29))
        | member(esk10_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | apply(X29,esk6_2(X28,X29),esk7_2(X28,X29))
        | member(esk9_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | apply(X29,esk6_2(X28,X29),esk7_2(X28,X29))
        | member(esk8_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | member(esk7_2(X28,X29),X28)
        | ~ apply(X29,esk8_2(X28,X29),esk10_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | member(esk7_2(X28,X29),X28)
        | apply(X29,esk9_2(X28,X29),esk10_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | member(esk7_2(X28,X29),X28)
        | apply(X29,esk8_2(X28,X29),esk9_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | member(esk7_2(X28,X29),X28)
        | member(esk10_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | member(esk7_2(X28,X29),X28)
        | member(esk9_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | member(esk7_2(X28,X29),X28)
        | member(esk8_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | member(esk6_2(X28,X29),X28)
        | ~ apply(X29,esk8_2(X28,X29),esk10_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | member(esk6_2(X28,X29),X28)
        | apply(X29,esk9_2(X28,X29),esk10_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | member(esk6_2(X28,X29),X28)
        | apply(X29,esk8_2(X28,X29),esk9_2(X28,X29)) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | member(esk6_2(X28,X29),X28)
        | member(esk10_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | member(esk6_2(X28,X29),X28)
        | member(esk9_2(X28,X29),X28) )
      & ( epred1_2(X29,X28)
        | member(esk5_2(X28,X29),X28)
        | member(esk6_2(X28,X29),X28)
        | member(esk8_2(X28,X29),X28) )
      & ( ~ epred1_2(X21,X20)
        | apply(X21,X25,X27)
        | ~ apply(X21,X26,X27)
        | ~ apply(X21,X25,X26)
        | ~ member(X27,X20)
        | ~ member(X26,X20)
        | ~ member(X25,X20) )
      & ( ~ epred1_2(X21,X20)
        | X23 = X24
        | ~ apply(X21,X24,X23)
        | ~ apply(X21,X23,X24)
        | ~ member(X24,X20)
        | ~ member(X23,X20) )
      & ( ~ epred1_2(X21,X20)
        | apply(X21,X22,X22)
        | ~ member(X22,X20) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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_4])])])])])])]) ).

cnf(c_0_9,plain,
    ( ~ member(X3,X1)
    | ~ subset(X1,X2)
    | member(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    subset(esk3_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_11,plain,
    ! [X12,X13] :
      ( ( order(X12,X13)
        | ~ epred1_2(X12,X13) )
      & ( epred1_2(X12,X13)
        | ~ order(X12,X13) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).

cnf(c_0_12,plain,
    ( ~ epred1_2(X5,X2)
    | ~ apply(X5,X3,X4)
    | ~ apply(X5,X1,X3)
    | ~ member(X4,X2)
    | ~ member(X3,X2)
    | ~ member(X1,X2)
    | apply(X5,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( epred1_2(X1,X2)
    | member(esk5_2(X2,X1),X2)
    | member(esk7_2(X2,X1),X2)
    | apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ member(X1,esk3_0)
    | member(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_15,plain,
    ( epred1_2(X2,X1)
    | member(esk5_2(X1,X2),X1)
    | member(esk7_2(X1,X2),X1)
    | member(esk10_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_16,plain,
    ( epred1_2(X2,X1)
    | member(esk5_2(X1,X2),X1)
    | member(esk7_2(X1,X2),X1)
    | member(esk9_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_17,plain,
    ( epred1_2(X1,X2)
    | member(esk5_2(X2,X1),X2)
    | member(esk6_2(X2,X1),X2)
    | apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_18,plain,
    ( epred1_2(X2,X1)
    | member(esk5_2(X1,X2),X1)
    | member(esk6_2(X1,X2),X1)
    | member(esk10_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_19,plain,
    ( epred1_2(X2,X1)
    | member(esk5_2(X1,X2),X1)
    | member(esk6_2(X1,X2),X1)
    | member(esk9_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_20,plain,
    ( ~ order(X1,X2)
    | epred1_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_21,negated_conjecture,
    order(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_22,plain,
    ( ~ member(X3,X4)
    | ~ member(esk9_2(X2,X1),X4)
    | ~ member(esk10_2(X2,X1),X4)
    | ~ apply(X1,X3,esk9_2(X2,X1))
    | ~ epred1_2(X1,X4)
    | member(esk7_2(X2,X1),X2)
    | member(esk5_2(X2,X1),X2)
    | apply(X1,X3,esk10_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_23,negated_conjecture,
    ( member(esk10_2(esk3_0,X1),esk2_0)
    | member(esk7_2(esk3_0,X1),esk3_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_24,negated_conjecture,
    ( member(esk9_2(esk3_0,X1),esk2_0)
    | member(esk7_2(esk3_0,X1),esk3_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_16]) ).

cnf(c_0_25,plain,
    ( epred1_2(X2,X1)
    | member(esk5_2(X1,X2),X1)
    | member(esk7_2(X1,X2),X1)
    | member(esk8_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_26,plain,
    ( ~ member(X3,X4)
    | ~ member(esk9_2(X2,X1),X4)
    | ~ member(esk10_2(X2,X1),X4)
    | ~ apply(X1,X3,esk9_2(X2,X1))
    | ~ epred1_2(X1,X4)
    | member(esk6_2(X2,X1),X2)
    | member(esk5_2(X2,X1),X2)
    | apply(X1,X3,esk10_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_17]) ).

cnf(c_0_27,negated_conjecture,
    ( member(esk10_2(esk3_0,X1),esk2_0)
    | member(esk6_2(esk3_0,X1),esk3_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_18]) ).

cnf(c_0_28,negated_conjecture,
    ( member(esk9_2(esk3_0,X1),esk2_0)
    | member(esk6_2(esk3_0,X1),esk3_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_19]) ).

cnf(c_0_29,plain,
    ( epred1_2(X2,X1)
    | member(esk5_2(X1,X2),X1)
    | member(esk6_2(X1,X2),X1)
    | member(esk8_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_30,plain,
    ( ~ epred1_2(X3,X2)
    | ~ member(X1,X2)
    | apply(X3,X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_31,negated_conjecture,
    epred1_2(esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_32,plain,
    ( ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
    | epred1_2(X1,X2)
    | member(esk5_2(X2,X1),X2)
    | member(esk7_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ member(X2,esk2_0)
    | ~ apply(X1,X2,esk9_2(esk3_0,X1))
    | ~ epred1_2(X1,esk2_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | member(esk7_2(esk3_0,X1),esk3_0)
    | apply(X1,X2,esk10_2(esk3_0,X1))
    | epred1_2(X1,esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).

cnf(c_0_34,negated_conjecture,
    ( member(esk8_2(esk3_0,X1),esk2_0)
    | member(esk7_2(esk3_0,X1),esk3_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_25]) ).

cnf(c_0_35,plain,
    ( epred1_2(X1,X2)
    | member(esk5_2(X2,X1),X2)
    | member(esk7_2(X2,X1),X2)
    | apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_36,plain,
    ( ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
    | epred1_2(X1,X2)
    | member(esk5_2(X2,X1),X2)
    | member(esk6_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ member(X2,esk2_0)
    | ~ apply(X1,X2,esk9_2(esk3_0,X1))
    | ~ epred1_2(X1,esk2_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | member(esk6_2(esk3_0,X1),esk3_0)
    | apply(X1,X2,esk10_2(esk3_0,X1))
    | epred1_2(X1,esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).

cnf(c_0_38,negated_conjecture,
    ( member(esk8_2(esk3_0,X1),esk2_0)
    | member(esk6_2(esk3_0,X1),esk3_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_29]) ).

cnf(c_0_39,plain,
    ( epred1_2(X1,X2)
    | member(esk5_2(X2,X1),X2)
    | member(esk6_2(X2,X1),X2)
    | apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_40,plain,
    ( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | epred1_2(X1,X2)
    | member(esk7_2(X2,X1),X2)
    | apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_41,plain,
    ( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
    | epred1_2(X2,X1)
    | member(esk7_2(X1,X2),X1)
    | member(esk10_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_42,negated_conjecture,
    ( ~ member(X1,esk2_0)
    | apply(esk1_0,X1,X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_43,negated_conjecture,
    ~ order(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_44,plain,
    ( ~ epred1_2(X1,X2)
    | order(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_45,plain,
    ( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
    | epred1_2(X2,X1)
    | member(esk7_2(X1,X2),X1)
    | member(esk9_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_46,plain,
    ( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | epred1_2(X1,X2)
    | member(esk6_2(X2,X1),X2)
    | apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_47,plain,
    ( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
    | epred1_2(X2,X1)
    | member(esk6_2(X1,X2),X1)
    | member(esk10_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_48,plain,
    ( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
    | epred1_2(X2,X1)
    | member(esk6_2(X1,X2),X1)
    | member(esk9_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_49,plain,
    ( ~ epred1_2(X4,X2)
    | ~ apply(X4,X3,X1)
    | ~ apply(X4,X1,X3)
    | ~ member(X3,X2)
    | ~ member(X1,X2)
    | X1 = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_50,plain,
    ( epred1_2(X2,X1)
    | member(esk5_2(X1,X2),X1)
    | apply(X2,esk6_2(X1,X2),esk7_2(X1,X2))
    | member(esk10_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_51,plain,
    ( epred1_2(X2,X1)
    | member(esk5_2(X1,X2),X1)
    | apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
    | member(esk10_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_52,plain,
    ( esk6_2(X1,X2) != esk7_2(X1,X2)
    | epred1_2(X2,X1)
    | member(esk5_2(X1,X2),X1)
    | member(esk10_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_53,plain,
    ( ~ epred1_2(X1,esk2_0)
    | member(esk7_2(esk3_0,X1),esk3_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]) ).

cnf(c_0_54,plain,
    ( ~ epred1_2(X1,esk2_0)
    | member(esk6_2(esk3_0,X1),esk3_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39]) ).

cnf(c_0_55,plain,
    ( epred1_2(X2,X1)
    | member(esk5_2(X1,X2),X1)
    | apply(X2,esk6_2(X1,X2),esk7_2(X1,X2))
    | member(esk9_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_56,plain,
    ( epred1_2(X2,X1)
    | member(esk5_2(X1,X2),X1)
    | apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
    | member(esk9_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_57,plain,
    ( esk6_2(X1,X2) != esk7_2(X1,X2)
    | epred1_2(X2,X1)
    | member(esk5_2(X1,X2),X1)
    | member(esk9_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_58,plain,
    ( ~ member(X3,X4)
    | ~ member(esk9_2(X2,X1),X4)
    | ~ member(esk10_2(X2,X1),X4)
    | ~ apply(X1,X3,esk9_2(X2,X1))
    | ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ epred1_2(X1,X4)
    | member(esk7_2(X2,X1),X2)
    | apply(X1,X3,esk10_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_40]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ member(esk5_2(X1,esk1_0),esk2_0)
    | member(esk10_2(X1,esk1_0),X1)
    | member(esk7_2(X1,esk1_0),X1)
    | epred1_2(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_60,negated_conjecture,
    ~ epred1_2(esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ member(esk5_2(X1,esk1_0),esk2_0)
    | member(esk9_2(X1,esk1_0),X1)
    | member(esk7_2(X1,esk1_0),X1)
    | epred1_2(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_42]) ).

cnf(c_0_62,plain,
    ( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
    | epred1_2(X2,X1)
    | member(esk7_2(X1,X2),X1)
    | member(esk8_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_63,plain,
    ( ~ member(X3,X4)
    | ~ member(esk9_2(X2,X1),X4)
    | ~ member(esk10_2(X2,X1),X4)
    | ~ apply(X1,X3,esk9_2(X2,X1))
    | ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ epred1_2(X1,X4)
    | member(esk6_2(X2,X1),X2)
    | apply(X1,X3,esk10_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_46]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ member(esk5_2(X1,esk1_0),esk2_0)
    | member(esk10_2(X1,esk1_0),X1)
    | member(esk6_2(X1,esk1_0),X1)
    | epred1_2(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_47,c_0_42]) ).

cnf(c_0_65,negated_conjecture,
    ( ~ member(esk5_2(X1,esk1_0),esk2_0)
    | member(esk9_2(X1,esk1_0),X1)
    | member(esk6_2(X1,esk1_0),X1)
    | epred1_2(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_42]) ).

cnf(c_0_66,plain,
    ( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
    | epred1_2(X2,X1)
    | member(esk6_2(X1,X2),X1)
    | member(esk8_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_67,plain,
    ( ~ member(esk7_2(X2,X1),X3)
    | ~ member(esk6_2(X2,X1),X3)
    | ~ epred1_2(X1,X3)
    | member(esk10_2(X2,X1),X2)
    | member(esk5_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ epred1_2(X1,esk2_0)
    | member(esk7_2(esk3_0,X1),esk2_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_53]) ).

cnf(c_0_69,negated_conjecture,
    ( ~ epred1_2(X1,esk2_0)
    | member(esk6_2(esk3_0,X1),esk2_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_54]) ).

cnf(c_0_70,plain,
    ( ~ member(esk7_2(X2,X1),X3)
    | ~ member(esk6_2(X2,X1),X3)
    | ~ epred1_2(X1,X3)
    | member(esk9_2(X2,X1),X2)
    | member(esk5_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_55]),c_0_56]),c_0_57]) ).

cnf(c_0_71,plain,
    ( epred1_2(X2,X1)
    | member(esk5_2(X1,X2),X1)
    | apply(X2,esk6_2(X1,X2),esk7_2(X1,X2))
    | member(esk8_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_72,plain,
    ( epred1_2(X2,X1)
    | member(esk5_2(X1,X2),X1)
    | apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
    | member(esk8_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_73,plain,
    ( esk6_2(X1,X2) != esk7_2(X1,X2)
    | epred1_2(X2,X1)
    | member(esk5_2(X1,X2),X1)
    | member(esk8_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_74,negated_conjecture,
    ( ~ member(X2,X3)
    | ~ member(esk9_2(X1,esk1_0),X3)
    | ~ member(esk10_2(X1,esk1_0),X3)
    | ~ member(esk5_2(X1,esk1_0),esk2_0)
    | ~ apply(esk1_0,X2,esk9_2(X1,esk1_0))
    | ~ epred1_2(esk1_0,X3)
    | member(esk7_2(X1,esk1_0),X1)
    | apply(esk1_0,X2,esk10_2(X1,esk1_0))
    | epred1_2(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_58,c_0_42]) ).

cnf(c_0_75,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | member(esk10_2(esk3_0,esk1_0),esk2_0)
    | member(esk7_2(esk3_0,esk1_0),esk3_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_59]),c_0_60]) ).

cnf(c_0_76,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | member(esk9_2(esk3_0,esk1_0),esk2_0)
    | member(esk7_2(esk3_0,esk1_0),esk3_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_61]),c_0_60]) ).

cnf(c_0_77,negated_conjecture,
    ( ~ member(esk5_2(X1,esk1_0),esk2_0)
    | member(esk8_2(X1,esk1_0),X1)
    | member(esk7_2(X1,esk1_0),X1)
    | epred1_2(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_42]) ).

cnf(c_0_78,negated_conjecture,
    ( ~ member(X2,X3)
    | ~ member(esk9_2(X1,esk1_0),X3)
    | ~ member(esk10_2(X1,esk1_0),X3)
    | ~ member(esk5_2(X1,esk1_0),esk2_0)
    | ~ apply(esk1_0,X2,esk9_2(X1,esk1_0))
    | ~ epred1_2(esk1_0,X3)
    | member(esk6_2(X1,esk1_0),X1)
    | apply(esk1_0,X2,esk10_2(X1,esk1_0))
    | epred1_2(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_42]) ).

cnf(c_0_79,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | member(esk10_2(esk3_0,esk1_0),esk2_0)
    | member(esk6_2(esk3_0,esk1_0),esk3_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_64]),c_0_60]) ).

cnf(c_0_80,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | member(esk9_2(esk3_0,esk1_0),esk2_0)
    | member(esk6_2(esk3_0,esk1_0),esk3_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_65]),c_0_60]) ).

cnf(c_0_81,negated_conjecture,
    ( ~ member(esk5_2(X1,esk1_0),esk2_0)
    | member(esk8_2(X1,esk1_0),X1)
    | member(esk6_2(X1,esk1_0),X1)
    | epred1_2(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_42]) ).

cnf(c_0_82,plain,
    ( epred1_2(X1,X2)
    | member(esk5_2(X2,X1),X2)
    | apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
    | apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_83,plain,
    ( ~ epred1_2(X1,esk2_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | member(esk10_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).

cnf(c_0_84,plain,
    ( ~ epred1_2(X1,esk2_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | member(esk9_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_68]),c_0_69]) ).

cnf(c_0_85,plain,
    ( ~ member(esk7_2(X2,X1),X3)
    | ~ member(esk6_2(X2,X1),X3)
    | ~ epred1_2(X1,X3)
    | member(esk8_2(X2,X1),X2)
    | member(esk5_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_71]),c_0_72]),c_0_73]) ).

cnf(c_0_86,plain,
    ( esk6_2(X2,X1) != esk7_2(X2,X1)
    | epred1_2(X1,X2)
    | member(esk5_2(X2,X1),X2)
    | apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_87,plain,
    ( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
    | epred1_2(X1,X2)
    | member(esk7_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ member(X1,esk2_0)
    | ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | ~ apply(esk1_0,X1,esk9_2(esk3_0,esk1_0))
    | member(esk7_2(esk3_0,esk1_0),esk3_0)
    | apply(esk1_0,X1,esk10_2(esk3_0,esk1_0)) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_31])]),c_0_60]),c_0_76]) ).

cnf(c_0_89,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | member(esk8_2(esk3_0,esk1_0),esk2_0)
    | member(esk7_2(esk3_0,esk1_0),esk3_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_77]),c_0_60]) ).

cnf(c_0_90,plain,
    ( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
    | epred1_2(X1,X2)
    | member(esk6_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ member(X1,esk2_0)
    | ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | ~ apply(esk1_0,X1,esk9_2(esk3_0,esk1_0))
    | member(esk6_2(esk3_0,esk1_0),esk3_0)
    | apply(esk1_0,X1,esk10_2(esk3_0,esk1_0)) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_31])]),c_0_60]),c_0_80]) ).

cnf(c_0_92,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | member(esk8_2(esk3_0,esk1_0),esk2_0)
    | member(esk6_2(esk3_0,esk1_0),esk3_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_81]),c_0_60]) ).

cnf(c_0_93,plain,
    ( ~ member(X3,X4)
    | ~ member(esk9_2(X2,X1),X4)
    | ~ member(esk10_2(X2,X1),X4)
    | ~ apply(X1,X3,esk9_2(X2,X1))
    | ~ epred1_2(X1,X4)
    | member(esk5_2(X2,X1),X2)
    | apply(X1,X3,esk10_2(X2,X1))
    | apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_82]) ).

cnf(c_0_94,negated_conjecture,
    ( ~ epred1_2(X1,esk2_0)
    | member(esk10_2(esk3_0,X1),esk2_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_83]) ).

cnf(c_0_95,negated_conjecture,
    ( ~ epred1_2(X1,esk2_0)
    | member(esk9_2(esk3_0,X1),esk2_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_84]) ).

cnf(c_0_96,plain,
    ( ~ epred1_2(X1,esk2_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | member(esk8_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_68]),c_0_69]) ).

cnf(c_0_97,plain,
    ( ~ member(X3,X4)
    | ~ member(esk9_2(X2,X1),X4)
    | ~ member(esk10_2(X2,X1),X4)
    | ~ apply(X1,X3,esk9_2(X2,X1))
    | ~ epred1_2(X1,X4)
    | esk7_2(X2,X1) != esk6_2(X2,X1)
    | member(esk5_2(X2,X1),X2)
    | apply(X1,X3,esk10_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_86]) ).

cnf(c_0_98,negated_conjecture,
    ( esk7_2(esk3_0,X1) != esk6_2(esk3_0,X1)
    | member(esk10_2(esk3_0,X1),esk2_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_52]) ).

cnf(c_0_99,negated_conjecture,
    ( esk7_2(esk3_0,X1) != esk6_2(esk3_0,X1)
    | member(esk9_2(esk3_0,X1),esk2_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_57]) ).

cnf(c_0_100,plain,
    ( epred1_2(X1,X2)
    | member(esk5_2(X2,X1),X2)
    | apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
    | apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_101,plain,
    ( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
    | epred1_2(X2,X1)
    | apply(X2,esk6_2(X1,X2),esk7_2(X1,X2))
    | member(esk9_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_102,plain,
    ( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
    | epred1_2(X2,X1)
    | apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
    | member(esk9_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_103,plain,
    ( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
    | esk6_2(X1,X2) != esk7_2(X1,X2)
    | epred1_2(X2,X1)
    | member(esk9_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_104,plain,
    ( ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | ~ apply(esk1_0,esk8_2(esk3_0,esk1_0),esk9_2(esk3_0,esk1_0))
    | member(esk7_2(esk3_0,esk1_0),esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_60]),c_0_89]),c_0_42]) ).

cnf(c_0_105,plain,
    ( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | epred1_2(X1,X2)
    | member(esk7_2(X2,X1),X2)
    | apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_106,plain,
    ( ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | ~ apply(esk1_0,esk8_2(esk3_0,esk1_0),esk9_2(esk3_0,esk1_0))
    | member(esk6_2(esk3_0,esk1_0),esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_60]),c_0_92]),c_0_42]) ).

cnf(c_0_107,plain,
    ( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | epred1_2(X1,X2)
    | member(esk6_2(X2,X1),X2)
    | apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_108,plain,
    ( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
    | epred1_2(X2,X1)
    | apply(X2,esk6_2(X1,X2),esk7_2(X1,X2))
    | member(esk8_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_109,plain,
    ( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
    | epred1_2(X2,X1)
    | apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
    | member(esk8_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_110,plain,
    ( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
    | esk6_2(X1,X2) != esk7_2(X1,X2)
    | epred1_2(X2,X1)
    | member(esk8_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_111,negated_conjecture,
    ( ~ member(X2,esk2_0)
    | ~ apply(X1,X2,esk9_2(esk3_0,X1))
    | ~ epred1_2(X1,esk2_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | apply(X1,X2,esk10_2(esk3_0,X1))
    | apply(X1,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
    | epred1_2(X1,esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).

cnf(c_0_112,plain,
    ( epred1_2(X1,X2)
    | member(esk5_2(X2,X1),X2)
    | apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
    | apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_113,negated_conjecture,
    ( ~ epred1_2(X1,esk2_0)
    | member(esk8_2(esk3_0,X1),esk2_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_96]) ).

cnf(c_0_114,plain,
    ( ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
    | epred1_2(X1,X2)
    | member(esk5_2(X2,X1),X2)
    | apply(X1,esk6_2(X2,X1),esk7_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_115,plain,
    ( esk6_2(X2,X1) != esk7_2(X2,X1)
    | ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
    | epred1_2(X1,X2)
    | member(esk5_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_116,negated_conjecture,
    ( ~ member(X2,esk2_0)
    | ~ apply(X1,X2,esk9_2(esk3_0,X1))
    | ~ epred1_2(X1,esk2_0)
    | esk7_2(esk3_0,X1) != esk6_2(esk3_0,X1)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | apply(X1,X2,esk10_2(esk3_0,X1))
    | epred1_2(X1,esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).

cnf(c_0_117,negated_conjecture,
    ( esk7_2(esk3_0,X1) != esk6_2(esk3_0,X1)
    | member(esk8_2(esk3_0,X1),esk2_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_73]) ).

cnf(c_0_118,plain,
    ( esk6_2(X2,X1) != esk7_2(X2,X1)
    | epred1_2(X1,X2)
    | member(esk5_2(X2,X1),X2)
    | apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_119,plain,
    ( ~ member(X3,X4)
    | ~ member(esk9_2(X2,X1),X4)
    | ~ member(esk10_2(X2,X1),X4)
    | ~ apply(X1,X3,esk9_2(X2,X1))
    | ~ epred1_2(X1,X4)
    | member(esk5_2(X2,X1),X2)
    | apply(X1,X3,esk10_2(X2,X1))
    | apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_100]) ).

cnf(c_0_120,plain,
    ( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
    | epred1_2(X2,X1)
    | apply(X2,esk6_2(X1,X2),esk7_2(X1,X2))
    | member(esk10_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_121,plain,
    ( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
    | epred1_2(X2,X1)
    | apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
    | member(esk10_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_122,plain,
    ( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
    | esk6_2(X1,X2) != esk7_2(X1,X2)
    | epred1_2(X2,X1)
    | member(esk10_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_123,plain,
    ( ~ member(esk7_2(X2,X1),X3)
    | ~ member(esk6_2(X2,X1),X3)
    | ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ epred1_2(X1,X3)
    | member(esk9_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_101]),c_0_102]),c_0_103]) ).

cnf(c_0_124,plain,
    ( ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | member(esk7_2(esk3_0,esk1_0),esk3_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_60]),c_0_42]) ).

cnf(c_0_125,plain,
    ( ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | member(esk6_2(esk3_0,esk1_0),esk3_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_60]),c_0_42]) ).

cnf(c_0_126,plain,
    ( ~ member(esk7_2(X2,X1),X3)
    | ~ member(esk6_2(X2,X1),X3)
    | ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ epred1_2(X1,X3)
    | member(esk8_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_108]),c_0_109]),c_0_110]) ).

cnf(c_0_127,plain,
    ( ~ epred1_2(X1,esk2_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | apply(X1,esk6_2(esk3_0,X1),esk7_2(esk3_0,X1))
    | epred1_2(X1,esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]),c_0_114]) ).

cnf(c_0_128,plain,
    ( ~ epred1_2(X1,esk2_0)
    | esk7_2(esk3_0,X1) != esk6_2(esk3_0,X1)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]),c_0_118]) ).

cnf(c_0_129,negated_conjecture,
    ( ~ member(X2,esk2_0)
    | ~ apply(X1,X2,esk9_2(esk3_0,X1))
    | ~ epred1_2(X1,esk2_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | apply(X1,X2,esk10_2(esk3_0,X1))
    | apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1))
    | epred1_2(X1,esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_94]),c_0_95]) ).

cnf(c_0_130,plain,
    ( epred1_2(X1,X2)
    | member(esk5_2(X2,X1),X2)
    | apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
    | apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_131,plain,
    ( ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
    | epred1_2(X1,X2)
    | member(esk5_2(X2,X1),X2)
    | apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_132,plain,
    ( ~ member(esk7_2(X2,X1),X3)
    | ~ member(esk6_2(X2,X1),X3)
    | ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ epred1_2(X1,X3)
    | member(esk10_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_120]),c_0_121]),c_0_122]) ).

cnf(c_0_133,negated_conjecture,
    ( ~ member(esk7_2(X1,esk1_0),X2)
    | ~ member(esk6_2(X1,esk1_0),X2)
    | ~ member(esk5_2(X1,esk1_0),esk2_0)
    | ~ epred1_2(esk1_0,X2)
    | member(esk9_2(X1,esk1_0),X1)
    | epred1_2(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_123,c_0_42]) ).

cnf(c_0_134,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | member(esk7_2(esk3_0,esk1_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_124]) ).

cnf(c_0_135,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | member(esk6_2(esk3_0,esk1_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_125]) ).

cnf(c_0_136,negated_conjecture,
    ( ~ member(esk7_2(X1,esk1_0),X2)
    | ~ member(esk6_2(X1,esk1_0),X2)
    | ~ member(esk5_2(X1,esk1_0),esk2_0)
    | ~ epred1_2(esk1_0,X2)
    | member(esk8_2(X1,esk1_0),X1)
    | epred1_2(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_126,c_0_42]) ).

cnf(c_0_137,plain,
    ( ~ member(esk7_2(esk3_0,X1),X2)
    | ~ member(esk6_2(esk3_0,X1),X2)
    | ~ apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1))
    | ~ epred1_2(X1,X2)
    | ~ epred1_2(X1,esk2_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_127]),c_0_128]) ).

cnf(c_0_138,plain,
    ( ~ epred1_2(X1,esk2_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | apply(X1,esk7_2(esk3_0,X1),esk6_2(esk3_0,X1))
    | epred1_2(X1,esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_113]),c_0_131]) ).

cnf(c_0_139,negated_conjecture,
    ( ~ member(esk7_2(X1,esk1_0),X2)
    | ~ member(esk6_2(X1,esk1_0),X2)
    | ~ member(esk5_2(X1,esk1_0),esk2_0)
    | ~ epred1_2(esk1_0,X2)
    | member(esk10_2(X1,esk1_0),X1)
    | epred1_2(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_132,c_0_42]) ).

cnf(c_0_140,plain,
    ( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | epred1_2(X1,X2)
    | apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
    | apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_141,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | member(esk9_2(esk3_0,esk1_0),esk3_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_31])]),c_0_60]),c_0_135]) ).

cnf(c_0_142,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | member(esk8_2(esk3_0,esk1_0),esk3_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_134]),c_0_31])]),c_0_60]),c_0_135]) ).

cnf(c_0_143,plain,
    ( ~ member(esk7_2(esk3_0,X1),X2)
    | ~ member(esk6_2(esk3_0,X1),X2)
    | ~ epred1_2(X1,X2)
    | ~ epred1_2(X1,esk2_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_144,plain,
    ( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | epred1_2(X1,X2)
    | apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
    | apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | member(esk10_2(esk3_0,esk1_0),esk3_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_134]),c_0_31])]),c_0_60]),c_0_135]) ).

cnf(c_0_146,plain,
    ( ~ member(X3,X4)
    | ~ member(esk8_2(X2,X1),X4)
    | ~ member(esk9_2(X2,X1),X4)
    | ~ apply(X1,X3,esk8_2(X2,X1))
    | ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ epred1_2(X1,X4)
    | apply(X1,X3,esk9_2(X2,X1))
    | apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_140]) ).

cnf(c_0_147,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | member(esk9_2(esk3_0,esk1_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_141]) ).

cnf(c_0_148,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | member(esk8_2(esk3_0,esk1_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_142]) ).

cnf(c_0_149,negated_conjecture,
    ( ~ epred1_2(X1,esk2_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_68]),c_0_69]) ).

cnf(c_0_150,plain,
    ( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | epred1_2(X1,X2)
    | apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
    | apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_151,plain,
    ( ~ member(X3,X4)
    | ~ member(esk9_2(X2,X1),X4)
    | ~ member(esk10_2(X2,X1),X4)
    | ~ apply(X1,X3,esk9_2(X2,X1))
    | ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ epred1_2(X1,X4)
    | apply(X1,X3,esk10_2(X2,X1))
    | apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_144]) ).

cnf(c_0_152,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | member(esk10_2(esk3_0,esk1_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_145]) ).

cnf(c_0_153,negated_conjecture,
    ( ~ member(X1,esk2_0)
    | ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | ~ apply(esk1_0,X1,esk8_2(esk3_0,esk1_0))
    | apply(esk1_0,X1,esk9_2(esk3_0,esk1_0))
    | apply(esk1_0,esk6_2(esk3_0,esk1_0),esk7_2(esk3_0,esk1_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_31])]),c_0_60]),c_0_148]),c_0_42]) ).

cnf(c_0_154,negated_conjecture,
    ( ~ epred1_2(X1,esk2_0)
    | member(esk5_2(esk3_0,X1),esk2_0)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_149]) ).

cnf(c_0_155,plain,
    ( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | epred1_2(X1,X2)
    | apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
    | apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_156,plain,
    ( ~ member(X3,X4)
    | ~ member(esk8_2(X2,X1),X4)
    | ~ member(esk9_2(X2,X1),X4)
    | ~ apply(X1,X3,esk8_2(X2,X1))
    | ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ epred1_2(X1,X4)
    | apply(X1,X3,esk9_2(X2,X1))
    | apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_150]) ).

cnf(c_0_157,negated_conjecture,
    ( ~ member(X1,esk2_0)
    | ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | ~ apply(esk1_0,X1,esk9_2(esk3_0,esk1_0))
    | apply(esk1_0,X1,esk10_2(esk3_0,esk1_0))
    | apply(esk1_0,esk6_2(esk3_0,esk1_0),esk7_2(esk3_0,esk1_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_31])]),c_0_60]),c_0_147]),c_0_42]) ).

cnf(c_0_158,negated_conjecture,
    ( ~ member(X1,esk2_0)
    | ~ apply(esk1_0,X1,esk8_2(esk3_0,esk1_0))
    | apply(esk1_0,X1,esk9_2(esk3_0,esk1_0))
    | apply(esk1_0,esk6_2(esk3_0,esk1_0),esk7_2(esk3_0,esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_31])]),c_0_60]) ).

cnf(c_0_159,plain,
    ( ~ member(X3,X4)
    | ~ member(esk9_2(X2,X1),X4)
    | ~ member(esk10_2(X2,X1),X4)
    | ~ apply(X1,X3,esk9_2(X2,X1))
    | ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ epred1_2(X1,X4)
    | apply(X1,X3,esk10_2(X2,X1))
    | apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_155]) ).

cnf(c_0_160,negated_conjecture,
    ( ~ member(X1,esk2_0)
    | ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | ~ apply(esk1_0,X1,esk8_2(esk3_0,esk1_0))
    | apply(esk1_0,X1,esk9_2(esk3_0,esk1_0))
    | apply(esk1_0,esk7_2(esk3_0,esk1_0),esk6_2(esk3_0,esk1_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_147]),c_0_31])]),c_0_60]),c_0_148]),c_0_42]) ).

cnf(c_0_161,plain,
    ( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | esk6_2(X2,X1) != esk7_2(X2,X1)
    | epred1_2(X1,X2)
    | apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_162,negated_conjecture,
    ( ~ member(X1,esk2_0)
    | ~ apply(esk1_0,X1,esk9_2(esk3_0,esk1_0))
    | apply(esk1_0,X1,esk10_2(esk3_0,esk1_0))
    | apply(esk1_0,esk6_2(esk3_0,esk1_0),esk7_2(esk3_0,esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_154]),c_0_31])]),c_0_60]) ).

cnf(c_0_163,negated_conjecture,
    ( ~ member(esk8_2(esk3_0,esk1_0),esk2_0)
    | apply(esk1_0,esk6_2(esk3_0,esk1_0),esk7_2(esk3_0,esk1_0))
    | apply(esk1_0,esk8_2(esk3_0,esk1_0),esk9_2(esk3_0,esk1_0)) ),
    inference(spm,[status(thm)],[c_0_158,c_0_42]) ).

cnf(c_0_164,negated_conjecture,
    ( ~ member(X1,esk2_0)
    | ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | ~ apply(esk1_0,X1,esk9_2(esk3_0,esk1_0))
    | apply(esk1_0,X1,esk10_2(esk3_0,esk1_0))
    | apply(esk1_0,esk7_2(esk3_0,esk1_0),esk6_2(esk3_0,esk1_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_152]),c_0_31])]),c_0_60]),c_0_147]),c_0_42]) ).

cnf(c_0_165,negated_conjecture,
    ( ~ member(X1,esk2_0)
    | ~ apply(esk1_0,X1,esk8_2(esk3_0,esk1_0))
    | apply(esk1_0,X1,esk9_2(esk3_0,esk1_0))
    | apply(esk1_0,esk7_2(esk3_0,esk1_0),esk6_2(esk3_0,esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_154]),c_0_31])]),c_0_60]) ).

cnf(c_0_166,plain,
    ( ~ member(X3,X4)
    | ~ member(esk9_2(X2,X1),X4)
    | ~ member(esk10_2(X2,X1),X4)
    | ~ apply(X1,X3,esk9_2(X2,X1))
    | ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ epred1_2(X1,X4)
    | esk7_2(X2,X1) != esk6_2(X2,X1)
    | apply(X1,X3,esk10_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_161]) ).

cnf(c_0_167,plain,
    ( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
    | epred1_2(X1,X2)
    | apply(X1,esk6_2(X2,X1),esk7_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_168,negated_conjecture,
    ( ~ member(esk8_2(esk3_0,esk1_0),esk2_0)
    | apply(esk1_0,esk6_2(esk3_0,esk1_0),esk7_2(esk3_0,esk1_0))
    | apply(esk1_0,esk8_2(esk3_0,esk1_0),esk10_2(esk3_0,esk1_0)) ),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_169,negated_conjecture,
    ( ~ member(X1,esk2_0)
    | ~ apply(esk1_0,X1,esk9_2(esk3_0,esk1_0))
    | apply(esk1_0,X1,esk10_2(esk3_0,esk1_0))
    | apply(esk1_0,esk7_2(esk3_0,esk1_0),esk6_2(esk3_0,esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_154]),c_0_31])]),c_0_60]) ).

cnf(c_0_170,negated_conjecture,
    ( ~ member(esk8_2(esk3_0,esk1_0),esk2_0)
    | apply(esk1_0,esk7_2(esk3_0,esk1_0),esk6_2(esk3_0,esk1_0))
    | apply(esk1_0,esk8_2(esk3_0,esk1_0),esk9_2(esk3_0,esk1_0)) ),
    inference(spm,[status(thm)],[c_0_165,c_0_42]) ).

cnf(c_0_171,negated_conjecture,
    ( ~ member(X2,X3)
    | ~ member(esk9_2(X1,esk1_0),X3)
    | ~ member(esk10_2(X1,esk1_0),X3)
    | ~ member(esk5_2(X1,esk1_0),esk2_0)
    | ~ apply(esk1_0,X2,esk9_2(X1,esk1_0))
    | ~ epred1_2(esk1_0,X3)
    | esk7_2(X1,esk1_0) != esk6_2(X1,esk1_0)
    | apply(esk1_0,X2,esk10_2(X1,esk1_0))
    | epred1_2(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_166,c_0_42]) ).

cnf(c_0_172,plain,
    ( ~ member(esk8_2(esk3_0,esk1_0),esk2_0)
    | ~ apply(esk1_0,esk5_2(esk3_0,esk1_0),esk5_2(esk3_0,esk1_0))
    | apply(esk1_0,esk6_2(esk3_0,esk1_0),esk7_2(esk3_0,esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_60]) ).

cnf(c_0_173,plain,
    ( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
    | epred1_2(X1,X2)
    | apply(X1,esk7_2(X2,X1),esk6_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_174,negated_conjecture,
    ( ~ member(esk8_2(esk3_0,esk1_0),esk2_0)
    | apply(esk1_0,esk7_2(esk3_0,esk1_0),esk6_2(esk3_0,esk1_0))
    | apply(esk1_0,esk8_2(esk3_0,esk1_0),esk10_2(esk3_0,esk1_0)) ),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_175,plain,
    ( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | esk6_2(X2,X1) != esk7_2(X2,X1)
    | ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_176,negated_conjecture,
    ( ~ member(X1,esk2_0)
    | ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | ~ apply(esk1_0,X1,esk9_2(esk3_0,esk1_0))
    | esk7_2(esk3_0,esk1_0) != esk6_2(esk3_0,esk1_0)
    | apply(esk1_0,X1,esk10_2(esk3_0,esk1_0)) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_152]),c_0_31])]),c_0_60]),c_0_147]) ).

cnf(c_0_177,plain,
    ( ~ member(esk7_2(esk3_0,esk1_0),X1)
    | ~ member(esk6_2(esk3_0,esk1_0),X1)
    | ~ member(esk8_2(esk3_0,esk1_0),esk2_0)
    | ~ apply(esk1_0,esk5_2(esk3_0,esk1_0),esk5_2(esk3_0,esk1_0))
    | ~ apply(esk1_0,esk7_2(esk3_0,esk1_0),esk6_2(esk3_0,esk1_0))
    | ~ epred1_2(esk1_0,X1)
    | esk7_2(esk3_0,esk1_0) = esk6_2(esk3_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_49,c_0_172]) ).

cnf(c_0_178,plain,
    ( ~ member(esk8_2(esk3_0,esk1_0),esk2_0)
    | ~ apply(esk1_0,esk5_2(esk3_0,esk1_0),esk5_2(esk3_0,esk1_0))
    | apply(esk1_0,esk7_2(esk3_0,esk1_0),esk6_2(esk3_0,esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_60]) ).

cnf(c_0_179,plain,
    ( ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | ~ apply(esk1_0,esk8_2(esk3_0,esk1_0),esk9_2(esk3_0,esk1_0))
    | esk7_2(esk3_0,esk1_0) != esk6_2(esk3_0,esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_60]),c_0_148]),c_0_42]) ).

cnf(c_0_180,plain,
    ( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | esk6_2(X2,X1) != esk7_2(X2,X1)
    | epred1_2(X1,X2)
    | apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_181,plain,
    ( ~ member(esk7_2(esk3_0,esk1_0),X1)
    | ~ member(esk6_2(esk3_0,esk1_0),X1)
    | ~ member(esk8_2(esk3_0,esk1_0),esk2_0)
    | ~ apply(esk1_0,esk5_2(esk3_0,esk1_0),esk5_2(esk3_0,esk1_0))
    | ~ epred1_2(esk1_0,X1)
    | esk7_2(esk3_0,esk1_0) = esk6_2(esk3_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_177,c_0_178]) ).

cnf(c_0_182,plain,
    ( ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | esk7_2(esk3_0,esk1_0) != esk6_2(esk3_0,esk1_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_60]),c_0_42]) ).

cnf(c_0_183,negated_conjecture,
    ( ~ member(esk7_2(esk3_0,esk1_0),X1)
    | ~ member(esk6_2(esk3_0,esk1_0),X1)
    | ~ member(esk5_2(esk3_0,esk1_0),esk2_0)
    | ~ epred1_2(esk1_0,X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_42]),c_0_148]),c_0_182]) ).

cnf(c_0_184,negated_conjecture,
    ~ member(esk5_2(esk3_0,esk1_0),esk2_0),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_134]),c_0_31])]),c_0_135]) ).

cnf(c_0_185,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_154]),c_0_31])]),c_0_60]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET805+4 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n010.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 05:39:11 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.51  % Version: 3.5.1
% 0.16/0.51  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.51  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.51  % Starting new_bool_3 with 300s (1) cores
% 0.16/0.51  % Starting new_bool_1 with 300s (1) cores
% 0.16/0.51  % Starting sh5l with 300s (1) cores
% 0.16/0.51  % new_bool_3 with pid 129305 completed with status 0
% 0.16/0.51  % Result found by new_bool_3
% 0.16/0.51  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.51  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.51  % Starting new_bool_3 with 300s (1) cores
% 0.16/0.51  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/0.51  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.51  % Search class: FGUSF-FFMF22-SFFFFFNN
% 0.16/0.51  % partial match(1): FGUSF-FFMM22-SFFFFFNN
% 0.16/0.51  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.51  % Starting SubtermCWHack with 31s (1) cores
% 0.16/0.51  % SubtermCWHack with pid 129309 completed with status 0
% 0.16/0.51  % Result found by SubtermCWHack
% 0.16/0.51  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.51  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.51  % Starting new_bool_3 with 300s (1) cores
% 0.16/0.51  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/0.51  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.51  % Search class: FGUSF-FFMF22-SFFFFFNN
% 0.16/0.51  % partial match(1): FGUSF-FFMM22-SFFFFFNN
% 0.16/0.51  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.51  % Starting SubtermCWHack with 31s (1) cores
% 0.16/0.51  % Preprocessing time       : 0.002 s
% 0.16/0.51  
% 0.16/0.51  % Proof found!
% 0.16/0.51  % SZS status Theorem
% 0.16/0.51  % SZS output start CNFRefutation
% See solution above
% 0.16/0.51  % Parsed axioms                        : 22
% 0.16/0.51  % Removed by relevancy pruning/SinE    : 19
% 0.16/0.51  % Initial clauses                      : 71
% 0.16/0.51  % Removed in clause preprocessing      : 0
% 0.16/0.51  % Initial clauses in saturation        : 71
% 0.16/0.51  % Processed clauses                    : 553
% 0.16/0.51  % ...of these trivial                  : 0
% 0.16/0.51  % ...subsumed                          : 248
% 0.16/0.51  % ...remaining for further processing  : 305
% 0.16/0.51  % Other redundant clauses eliminated   : 0
% 0.16/0.51  % Clauses deleted for lack of memory   : 0
% 0.16/0.51  % Backward-subsumed                    : 123
% 0.16/0.51  % Backward-rewritten                   : 0
% 0.16/0.51  % Generated clauses                    : 1090
% 0.16/0.51  % ...of the previous two non-redundant : 856
% 0.16/0.51  % ...aggressively subsumed             : 0
% 0.16/0.51  % Contextual simplify-reflections      : 80
% 0.16/0.51  % Paramodulations                      : 1090
% 0.16/0.51  % Factorizations                       : 0
% 0.16/0.51  % NegExts                              : 0
% 0.16/0.51  % Equation resolutions                 : 0
% 0.16/0.51  % Disequality decompositions           : 0
% 0.16/0.51  % Total rewrite steps                  : 147
% 0.16/0.51  % ...of those cached                   : 145
% 0.16/0.51  % Propositional unsat checks           : 0
% 0.16/0.51  %    Propositional check models        : 0
% 0.16/0.51  %    Propositional check unsatisfiable : 0
% 0.16/0.51  %    Propositional clauses             : 0
% 0.16/0.51  %    Propositional clauses after purity: 0
% 0.16/0.51  %    Propositional unsat core size     : 0
% 0.16/0.51  %    Propositional preprocessing time  : 0.000
% 0.16/0.51  %    Propositional encoding time       : 0.000
% 0.16/0.51  %    Propositional solver time         : 0.000
% 0.16/0.51  %    Success case prop preproc time    : 0.000
% 0.16/0.51  %    Success case prop encoding time   : 0.000
% 0.16/0.51  %    Success case prop solver time     : 0.000
% 0.16/0.51  % Current number of processed clauses  : 182
% 0.16/0.51  %    Positive orientable unit clauses  : 4
% 0.16/0.51  %    Positive unorientable unit clauses: 0
% 0.16/0.51  %    Negative unit clauses             : 3
% 0.16/0.51  %    Non-unit-clauses                  : 175
% 0.16/0.51  % Current number of unprocessed clauses: 66
% 0.16/0.51  % ...number of literals in the above   : 529
% 0.16/0.51  % Current number of archived formulas  : 0
% 0.16/0.51  % Current number of archived clauses   : 123
% 0.16/0.51  % Clause-clause subsumption calls (NU) : 17611
% 0.16/0.51  % Rec. Clause-clause subsumption calls : 2228
% 0.16/0.51  % Non-unit clause-clause subsumptions  : 428
% 0.16/0.51  % Unit Clause-clause subsumption calls : 67
% 0.16/0.51  % Rewrite failures with RHS unbound    : 0
% 0.16/0.51  % BW rewrite match attempts            : 2
% 0.16/0.51  % BW rewrite match successes           : 0
% 0.16/0.51  % Condensation attempts                : 0
% 0.16/0.51  % Condensation successes               : 0
% 0.16/0.51  % Termbank termtop insertions          : 47631
% 0.16/0.51  % Search garbage collected termcells   : 878
% 0.16/0.51  
% 0.16/0.51  % -------------------------------------------------
% 0.16/0.51  % User time                : 0.068 s
% 0.16/0.51  % System time              : 0.003 s
% 0.16/0.51  % Total time               : 0.071 s
% 0.16/0.51  % Maximum resident set size: 3672 pages
% 0.16/0.51  
% 0.16/0.51  % -------------------------------------------------
% 0.16/0.51  % User time                : 0.070 s
% 0.16/0.51  % System time              : 0.008 s
% 0.16/0.51  % Total time               : 0.078 s
% 0.16/0.51  % Maximum resident set size: 4864 pages
% 0.16/0.51  % E exiting
%------------------------------------------------------------------------------