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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SET765+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 02:15:10 PM UTC 2026

% Result   : Theorem 0.46s 0.51s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   43
%            Number of leaves      :    4
% Syntax   : Number of formulae    :  198 (  18 unt;   0 def)
%            Number of atoms       : 1023 (   0 equ)
%            Maximal formula atoms :  207 (   5 avg)
%            Number of connectives : 1224 ( 399   ~; 739   |;  69   &)
%                                         (   4 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   65 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :  296 (   0 sgn  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thIII01,conjecture,
    ! [X4,X7,X3] :
      ( ( subset(X3,X4)
        & equivalence(X7,X4) )
     => equivalence(X7,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII01) ).

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(equivalence,axiom,
    ! [X1,X7] :
      ( equivalence(X7,X1)
    <=> ( ! [X3,X5,X6] :
            ( ( member(X6,X1)
              & member(X5,X1)
              & member(X3,X1) )
           => ( ( apply(X7,X5,X6)
                & apply(X7,X3,X5) )
             => apply(X7,X3,X6) ) )
        & ! [X3,X5] :
            ( ( member(X5,X1)
              & member(X3,X1) )
           => ( apply(X7,X3,X5)
             => apply(X7,X5,X3) ) )
        & ! [X3] :
            ( member(X3,X1)
           => apply(X7,X3,X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+2.ax',equivalence) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X4,X7,X3] :
        ( ( subset(X3,X4)
          & equivalence(X7,X4) )
       => equivalence(X7,X3) ),
    inference(assume_negation,[status(cth)],[thIII01]) ).

fof(c_0_4,plain,
    ! [X1,X7] :
      ( epred1_2(X7,X1)
    <=> ( ! [X3,X5,X6] :
            ( ( member(X6,X1)
              & member(X5,X1)
              & member(X3,X1) )
           => ( ( apply(X7,X5,X6)
                & apply(X7,X3,X5) )
             => apply(X7,X3,X6) ) )
        & ! [X3,X5] :
            ( ( member(X5,X1)
              & member(X3,X1) )
           => ( apply(X7,X3,X5)
             => apply(X7,X5,X3) ) )
        & ! [X3] :
            ( member(X3,X1)
           => apply(X7,X3,X3) ) ) ),
    introduced(definition) ).

fof(c_0_5,plain,
    ! [X13,X14,X15,X16,X17] :
      ( ( subset(X16,X17)
        | ~ member(esk4_2(X16,X17),X17) )
      & ( subset(X16,X17)
        | member(esk4_2(X16,X17),X16) )
      & ( member(X15,X14)
        | ~ member(X15,X13)
        | ~ subset(X13,X14) ) ),
    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,
    ( ~ equivalence(esk2_0,esk3_0)
    & subset(esk3_0,esk1_0)
    & equivalence(esk2_0,esk1_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,plain,
    ! [X19,X20,X21,X22,X23,X24,X25,X26,X27,X28] :
      ( ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
        | ~ apply(X28,esk8_2(X27,X28),esk10_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
        | apply(X28,esk9_2(X27,X28),esk10_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
        | apply(X28,esk8_2(X27,X28),esk9_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
        | member(esk10_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
        | member(esk9_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
        | member(esk8_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
        | ~ apply(X28,esk8_2(X27,X28),esk10_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
        | apply(X28,esk9_2(X27,X28),esk10_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
        | apply(X28,esk8_2(X27,X28),esk9_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
        | member(esk10_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
        | member(esk9_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
        | member(esk8_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | member(esk7_2(X27,X28),X27)
        | ~ apply(X28,esk8_2(X27,X28),esk10_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | member(esk7_2(X27,X28),X27)
        | apply(X28,esk9_2(X27,X28),esk10_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | member(esk7_2(X27,X28),X27)
        | apply(X28,esk8_2(X27,X28),esk9_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | member(esk7_2(X27,X28),X27)
        | member(esk10_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | member(esk7_2(X27,X28),X27)
        | member(esk9_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | member(esk7_2(X27,X28),X27)
        | member(esk8_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | member(esk6_2(X27,X28),X27)
        | ~ apply(X28,esk8_2(X27,X28),esk10_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | member(esk6_2(X27,X28),X27)
        | apply(X28,esk9_2(X27,X28),esk10_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | member(esk6_2(X27,X28),X27)
        | apply(X28,esk8_2(X27,X28),esk9_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | member(esk6_2(X27,X28),X27)
        | member(esk10_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | member(esk6_2(X27,X28),X27)
        | member(esk9_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | ~ apply(X28,esk5_2(X27,X28),esk5_2(X27,X28))
        | member(esk6_2(X27,X28),X27)
        | member(esk8_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
        | ~ apply(X28,esk8_2(X27,X28),esk10_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
        | apply(X28,esk9_2(X27,X28),esk10_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
        | apply(X28,esk8_2(X27,X28),esk9_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
        | member(esk10_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
        | member(esk9_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | ~ apply(X28,esk7_2(X27,X28),esk6_2(X27,X28))
        | member(esk8_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
        | ~ apply(X28,esk8_2(X27,X28),esk10_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
        | apply(X28,esk9_2(X27,X28),esk10_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
        | apply(X28,esk8_2(X27,X28),esk9_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
        | member(esk10_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
        | member(esk9_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | apply(X28,esk6_2(X27,X28),esk7_2(X27,X28))
        | member(esk8_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | member(esk7_2(X27,X28),X27)
        | ~ apply(X28,esk8_2(X27,X28),esk10_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | member(esk7_2(X27,X28),X27)
        | apply(X28,esk9_2(X27,X28),esk10_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | member(esk7_2(X27,X28),X27)
        | apply(X28,esk8_2(X27,X28),esk9_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | member(esk7_2(X27,X28),X27)
        | member(esk10_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | member(esk7_2(X27,X28),X27)
        | member(esk9_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | member(esk7_2(X27,X28),X27)
        | member(esk8_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | member(esk6_2(X27,X28),X27)
        | ~ apply(X28,esk8_2(X27,X28),esk10_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | member(esk6_2(X27,X28),X27)
        | apply(X28,esk9_2(X27,X28),esk10_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | member(esk6_2(X27,X28),X27)
        | apply(X28,esk8_2(X27,X28),esk9_2(X27,X28)) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | member(esk6_2(X27,X28),X27)
        | member(esk10_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | member(esk6_2(X27,X28),X27)
        | member(esk9_2(X27,X28),X27) )
      & ( epred1_2(X28,X27)
        | member(esk5_2(X27,X28),X27)
        | member(esk6_2(X27,X28),X27)
        | member(esk8_2(X27,X28),X27) )
      & ( ~ epred1_2(X20,X19)
        | apply(X20,X24,X26)
        | ~ apply(X20,X25,X26)
        | ~ apply(X20,X24,X25)
        | ~ member(X26,X19)
        | ~ member(X25,X19)
        | ~ member(X24,X19) )
      & ( ~ epred1_2(X20,X19)
        | apply(X20,X23,X22)
        | ~ apply(X20,X22,X23)
        | ~ member(X23,X19)
        | ~ member(X22,X19) )
      & ( ~ epred1_2(X20,X19)
        | apply(X20,X21,X21)
        | ~ member(X21,X19) ) ),
    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_8,plain,
    ( ~ member(X3,X1)
    | ~ subset(X1,X2)
    | member(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    subset(esk3_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,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_7]) ).

cnf(c_0_11,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_7]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ member(X1,esk3_0)
    | member(X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,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_7]) ).

cnf(c_0_14,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_7]) ).

cnf(c_0_15,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_7]) ).

cnf(c_0_16,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_7]) ).

cnf(c_0_17,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_7]) ).

cnf(c_0_18,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_10,c_0_11]) ).

cnf(c_0_19,negated_conjecture,
    ( member(esk10_2(esk3_0,X1),esk1_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_12,c_0_13]) ).

cnf(c_0_20,negated_conjecture,
    ( member(esk9_2(esk3_0,X1),esk1_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_12,c_0_14]) ).

cnf(c_0_21,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_7]) ).

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(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_10,c_0_15]) ).

cnf(c_0_23,negated_conjecture,
    ( member(esk10_2(esk3_0,X1),esk1_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_12,c_0_16]) ).

cnf(c_0_24,negated_conjecture,
    ( member(esk9_2(esk3_0,X1),esk1_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_12,c_0_17]) ).

cnf(c_0_25,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_7]) ).

cnf(c_0_26,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_7]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ member(X2,esk1_0)
    | ~ apply(X1,X2,esk9_2(esk3_0,X1))
    | ~ epred1_2(X1,esk1_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_18,c_0_19]),c_0_20]) ).

cnf(c_0_28,negated_conjecture,
    ( member(esk8_2(esk3_0,X1),esk1_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_12,c_0_21]) ).

cnf(c_0_29,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_7]) ).

cnf(c_0_30,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_7]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ member(X2,esk1_0)
    | ~ apply(X1,X2,esk9_2(esk3_0,X1))
    | ~ epred1_2(X1,esk1_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_22,c_0_23]),c_0_24]) ).

cnf(c_0_32,negated_conjecture,
    ( member(esk8_2(esk3_0,X1),esk1_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_12,c_0_25]) ).

cnf(c_0_33,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_7]) ).

cnf(c_0_34,plain,
    ( ~ epred1_2(X4,X2)
    | ~ apply(X4,X1,X3)
    | ~ member(X3,X2)
    | ~ member(X1,X2)
    | apply(X4,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_35,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_7]) ).

cnf(c_0_36,plain,
    ( ~ apply(X2,esk7_2(X1,X2),esk6_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_7]) ).

cnf(c_0_37,plain,
    ( ~ epred1_2(X1,esk1_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_26,c_0_27]),c_0_28]),c_0_29]) ).

cnf(c_0_38,plain,
    ( ~ epred1_2(X1,esk1_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_30,c_0_31]),c_0_32]),c_0_33]) ).

cnf(c_0_39,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_7]) ).

cnf(c_0_40,plain,
    ( ~ apply(X2,esk7_2(X1,X2),esk6_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_7]) ).

cnf(c_0_41,plain,
    ( ~ member(esk6_2(X2,X1),X3)
    | ~ member(esk7_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(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).

cnf(c_0_42,negated_conjecture,
    ( ~ epred1_2(X1,esk1_0)
    | member(esk7_2(esk3_0,X1),esk1_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_37]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ epred1_2(X1,esk1_0)
    | member(esk6_2(esk3_0,X1),esk1_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_38]) ).

cnf(c_0_44,plain,
    ( ~ member(esk6_2(X2,X1),X3)
    | ~ member(esk7_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(spm,[status(thm)],[c_0_34,c_0_39]),c_0_40]) ).

cnf(c_0_45,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_7]) ).

cnf(c_0_46,plain,
    ( ~ apply(X2,esk7_2(X1,X2),esk6_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_7]) ).

fof(c_0_47,axiom,
    ! [X1,X7] :
      ( equivalence(X7,X1)
    <=> epred1_2(X7,X1) ),
    inference(apply_def,[status(thm)],[equivalence,c_0_4]) ).

cnf(c_0_48,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_7]) ).

cnf(c_0_49,plain,
    ( ~ epred1_2(X1,esk1_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_41,c_0_42]),c_0_43]) ).

cnf(c_0_50,plain,
    ( ~ epred1_2(X1,esk1_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_44,c_0_42]),c_0_43]) ).

cnf(c_0_51,plain,
    ( ~ member(esk6_2(X2,X1),X3)
    | ~ member(esk7_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(spm,[status(thm)],[c_0_34,c_0_45]),c_0_46]) ).

fof(c_0_52,plain,
    ! [X11,X12] :
      ( ( equivalence(X12,X11)
        | ~ epred1_2(X12,X11) )
      & ( epred1_2(X12,X11)
        | ~ equivalence(X12,X11) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])]) ).

cnf(c_0_53,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_10,c_0_48]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ epred1_2(X1,esk1_0)
    | member(esk10_2(esk3_0,X1),esk1_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_49]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ epred1_2(X1,esk1_0)
    | member(esk9_2(esk3_0,X1),esk1_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_50]) ).

cnf(c_0_56,plain,
    ( ~ epred1_2(X1,esk1_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_51,c_0_42]),c_0_43]) ).

cnf(c_0_57,plain,
    ( ~ equivalence(X1,X2)
    | epred1_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_58,negated_conjecture,
    equivalence(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_59,plain,
    ( ~ member(X2,esk1_0)
    | ~ apply(X1,X2,esk9_2(esk3_0,X1))
    | ~ epred1_2(X1,esk1_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_53,c_0_54]),c_0_55]) ).

cnf(c_0_60,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_7]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ epred1_2(X1,esk1_0)
    | member(esk8_2(esk3_0,X1),esk1_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_56]) ).

cnf(c_0_62,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_7]) ).

cnf(c_0_63,plain,
    ( ~ epred1_2(X3,X2)
    | ~ member(X1,X2)
    | apply(X3,X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_64,negated_conjecture,
    epred1_2(esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_65,plain,
    ( ~ epred1_2(X1,esk1_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_59,c_0_60]),c_0_61]),c_0_62]) ).

cnf(c_0_66,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_7]) ).

cnf(c_0_67,negated_conjecture,
    ( ~ member(X1,esk1_0)
    | apply(esk2_0,X1,X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_68,negated_conjecture,
    ~ equivalence(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_69,plain,
    ( ~ epred1_2(X1,X2)
    | equivalence(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_70,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_7]) ).

cnf(c_0_71,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_7]) ).

cnf(c_0_72,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_7]) ).

cnf(c_0_73,plain,
    ( ~ member(X2,X3)
    | ~ member(esk6_2(esk3_0,X1),X3)
    | ~ member(esk7_2(esk3_0,X1),X3)
    | ~ apply(X1,X2,esk6_2(esk3_0,X1))
    | ~ epred1_2(X1,X3)
    | ~ epred1_2(X1,esk1_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | apply(X1,X2,esk7_2(esk3_0,X1))
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_10,c_0_65]) ).

cnf(c_0_74,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_7]) ).

cnf(c_0_75,negated_conjecture,
    ( ~ member(esk5_2(X1,esk2_0),esk1_0)
    | member(esk9_2(X1,esk2_0),X1)
    | member(esk7_2(X1,esk2_0),X1)
    | epred1_2(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_76,negated_conjecture,
    ~ epred1_2(esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_77,negated_conjecture,
    ( ~ member(esk5_2(X1,esk2_0),esk1_0)
    | member(esk8_2(X1,esk2_0),X1)
    | member(esk7_2(X1,esk2_0),X1)
    | epred1_2(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_67]) ).

cnf(c_0_78,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_7]) ).

cnf(c_0_79,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_7]) ).

cnf(c_0_80,negated_conjecture,
    ( ~ member(esk5_2(X1,esk2_0),esk1_0)
    | member(esk9_2(X1,esk2_0),X1)
    | member(esk6_2(X1,esk2_0),X1)
    | epred1_2(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_71,c_0_67]) ).

cnf(c_0_81,negated_conjecture,
    ( ~ member(esk5_2(X1,esk2_0),esk1_0)
    | member(esk8_2(X1,esk2_0),X1)
    | member(esk6_2(X1,esk2_0),X1)
    | epred1_2(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_67]) ).

cnf(c_0_82,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_7]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ member(X2,esk1_0)
    | ~ apply(X1,X2,esk6_2(esk3_0,X1))
    | ~ epred1_2(X1,esk1_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | apply(X1,X2,esk7_2(esk3_0,X1))
    | epred1_2(X1,esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_42]),c_0_43]) ).

cnf(c_0_84,plain,
    ( ~ member(esk8_2(X2,X1),X3)
    | ~ member(esk9_2(X2,X1),X3)
    | ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ epred1_2(X1,X3)
    | member(esk7_2(X2,X1),X2)
    | apply(X1,esk9_2(X2,X1),esk8_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_74]) ).

cnf(c_0_85,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk9_2(esk3_0,esk2_0),esk1_0)
    | member(esk7_2(esk3_0,esk2_0),esk3_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_75]),c_0_76]) ).

cnf(c_0_86,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk8_2(esk3_0,esk2_0),esk1_0)
    | member(esk7_2(esk3_0,esk2_0),esk3_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_77]),c_0_76]) ).

cnf(c_0_87,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_7]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ member(esk5_2(X1,esk2_0),esk1_0)
    | member(esk10_2(X1,esk2_0),X1)
    | member(esk7_2(X1,esk2_0),X1)
    | epred1_2(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_67]) ).

cnf(c_0_89,plain,
    ( ~ member(esk8_2(X2,X1),X3)
    | ~ member(esk9_2(X2,X1),X3)
    | ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ epred1_2(X1,X3)
    | member(esk6_2(X2,X1),X2)
    | apply(X1,esk9_2(X2,X1),esk8_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_79]) ).

cnf(c_0_90,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk9_2(esk3_0,esk2_0),esk1_0)
    | member(esk6_2(esk3_0,esk2_0),esk3_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_80]),c_0_76]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk8_2(esk3_0,esk2_0),esk1_0)
    | member(esk6_2(esk3_0,esk2_0),esk3_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_81]),c_0_76]) ).

cnf(c_0_92,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_7]) ).

cnf(c_0_93,negated_conjecture,
    ( ~ member(esk5_2(X1,esk2_0),esk1_0)
    | member(esk10_2(X1,esk2_0),X1)
    | member(esk6_2(X1,esk2_0),X1)
    | epred1_2(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_67]) ).

cnf(c_0_94,plain,
    ( ~ member(X2,X3)
    | ~ member(X2,esk1_0)
    | ~ member(esk7_2(esk3_0,X1),X3)
    | ~ apply(X1,X2,esk6_2(esk3_0,X1))
    | ~ epred1_2(X1,X3)
    | ~ epred1_2(X1,esk1_0)
    | member(esk5_2(esk3_0,X1),esk3_0)
    | apply(X1,esk7_2(esk3_0,X1),X2)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_34,c_0_83]) ).

cnf(c_0_95,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk7_2(esk3_0,esk2_0),esk3_0)
    | apply(esk2_0,esk9_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_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_84,c_0_85]),c_0_64])]),c_0_76]),c_0_86]),c_0_67]) ).

cnf(c_0_96,plain,
    ( ~ member(esk9_2(X2,X1),X3)
    | ~ member(esk10_2(X2,X1),X3)
    | ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ epred1_2(X1,X3)
    | member(esk7_2(X2,X1),X2)
    | apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_87]) ).

cnf(c_0_97,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk10_2(esk3_0,esk2_0),esk1_0)
    | member(esk7_2(esk3_0,esk2_0),esk3_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_88]),c_0_76]) ).

cnf(c_0_98,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk6_2(esk3_0,esk2_0),esk3_0)
    | apply(esk2_0,esk9_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_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_89,c_0_90]),c_0_64])]),c_0_76]),c_0_91]),c_0_67]) ).

cnf(c_0_99,plain,
    ( ~ member(esk9_2(X2,X1),X3)
    | ~ member(esk10_2(X2,X1),X3)
    | ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ epred1_2(X1,X3)
    | member(esk6_2(X2,X1),X2)
    | apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_92]) ).

cnf(c_0_100,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk10_2(esk3_0,esk2_0),esk1_0)
    | member(esk6_2(esk3_0,esk2_0),esk3_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_93]),c_0_76]) ).

cnf(c_0_101,negated_conjecture,
    ( ~ member(esk6_2(esk3_0,esk2_0),X1)
    | ~ member(esk7_2(esk3_0,esk2_0),X1)
    | ~ member(esk6_2(esk3_0,esk2_0),esk1_0)
    | ~ epred1_2(esk2_0,X1)
    | member(esk5_2(esk3_0,esk2_0),esk3_0)
    | apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_67]),c_0_64])]),c_0_76]) ).

cnf(c_0_102,plain,
    ( ~ member(X1,X2)
    | ~ member(esk9_2(esk3_0,esk2_0),X2)
    | ~ member(esk8_2(esk3_0,esk2_0),X2)
    | ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | ~ apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
    | ~ epred1_2(esk2_0,X2)
    | member(esk7_2(esk3_0,esk2_0),esk3_0)
    | apply(esk2_0,X1,esk8_2(esk3_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_10,c_0_95]) ).

cnf(c_0_103,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk7_2(esk3_0,esk2_0),esk3_0)
    | apply(esk2_0,esk10_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_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_96,c_0_97]),c_0_64])]),c_0_76]),c_0_85]),c_0_67]) ).

cnf(c_0_104,plain,
    ( ~ member(X1,X2)
    | ~ member(esk9_2(esk3_0,esk2_0),X2)
    | ~ member(esk8_2(esk3_0,esk2_0),X2)
    | ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | ~ apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
    | ~ epred1_2(esk2_0,X2)
    | member(esk6_2(esk3_0,esk2_0),esk3_0)
    | apply(esk2_0,X1,esk8_2(esk3_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_10,c_0_98]) ).

cnf(c_0_105,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk6_2(esk3_0,esk2_0),esk3_0)
    | apply(esk2_0,esk10_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_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_99,c_0_100]),c_0_64])]),c_0_76]),c_0_90]),c_0_67]) ).

cnf(c_0_106,negated_conjecture,
    ( ~ member(esk6_2(esk3_0,esk2_0),esk1_0)
    | member(esk5_2(esk3_0,esk2_0),esk3_0)
    | apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_42]),c_0_64])]),c_0_76]) ).

cnf(c_0_107,negated_conjecture,
    ( ~ member(esk10_2(esk3_0,esk2_0),X1)
    | ~ member(esk9_2(esk3_0,esk2_0),X1)
    | ~ member(esk8_2(esk3_0,esk2_0),X1)
    | ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | ~ epred1_2(esk2_0,X1)
    | member(esk7_2(esk3_0,esk2_0),esk3_0)
    | apply(esk2_0,esk10_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_108,negated_conjecture,
    ( ~ member(esk10_2(esk3_0,esk2_0),X1)
    | ~ member(esk9_2(esk3_0,esk2_0),X1)
    | ~ member(esk8_2(esk3_0,esk2_0),X1)
    | ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | ~ epred1_2(esk2_0,X1)
    | member(esk6_2(esk3_0,esk2_0),esk3_0)
    | apply(esk2_0,esk10_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_109,plain,
    ( ~ apply(X1,esk7_2(X2,X1),esk6_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_7]) ).

cnf(c_0_110,plain,
    ( ~ member(esk6_2(esk3_0,esk2_0),esk1_0)
    | member(esk9_2(esk3_0,esk2_0),esk3_0)
    | member(esk5_2(esk3_0,esk2_0),esk3_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_106]),c_0_76]) ).

cnf(c_0_111,plain,
    ( ~ member(esk6_2(esk3_0,esk2_0),esk1_0)
    | member(esk8_2(esk3_0,esk2_0),esk3_0)
    | member(esk5_2(esk3_0,esk2_0),esk3_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_106]),c_0_76]) ).

cnf(c_0_112,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk7_2(esk3_0,esk2_0),esk3_0)
    | apply(esk2_0,esk10_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_97]),c_0_64])]),c_0_85]),c_0_86]) ).

cnf(c_0_113,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk6_2(esk3_0,esk2_0),esk3_0)
    | apply(esk2_0,esk10_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_100]),c_0_64])]),c_0_90]),c_0_91]) ).

cnf(c_0_114,plain,
    ( ~ apply(X1,esk7_2(X2,X1),esk6_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_7]) ).

cnf(c_0_115,plain,
    ( ~ member(esk8_2(X2,X1),X3)
    | ~ member(esk9_2(X2,X1),X3)
    | ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
    | ~ epred1_2(X1,X3)
    | member(esk5_2(X2,X1),X2)
    | apply(X1,esk9_2(X2,X1),esk8_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_109]) ).

cnf(c_0_116,negated_conjecture,
    ( ~ member(esk6_2(esk3_0,esk2_0),esk1_0)
    | member(esk9_2(esk3_0,esk2_0),esk1_0)
    | member(esk5_2(esk3_0,esk2_0),esk3_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_110]) ).

cnf(c_0_117,negated_conjecture,
    ( ~ member(esk6_2(esk3_0,esk2_0),esk1_0)
    | member(esk8_2(esk3_0,esk2_0),esk1_0)
    | member(esk5_2(esk3_0,esk2_0),esk3_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_111]) ).

cnf(c_0_118,plain,
    ( ~ member(esk10_2(esk3_0,esk2_0),X1)
    | ~ member(esk8_2(esk3_0,esk2_0),X1)
    | ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | ~ epred1_2(esk2_0,X1)
    | member(esk7_2(esk3_0,esk2_0),esk3_0)
    | apply(esk2_0,esk8_2(esk3_0,esk2_0),esk10_2(esk3_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_34,c_0_112]) ).

cnf(c_0_119,plain,
    ( ~ member(esk10_2(esk3_0,esk2_0),X1)
    | ~ member(esk8_2(esk3_0,esk2_0),X1)
    | ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | ~ epred1_2(esk2_0,X1)
    | member(esk6_2(esk3_0,esk2_0),esk3_0)
    | apply(esk2_0,esk8_2(esk3_0,esk2_0),esk10_2(esk3_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_34,c_0_113]) ).

cnf(c_0_120,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,esk7_2(X2,X1),esk6_2(X2,X1))
    | ~ epred1_2(X1,X4)
    | member(esk5_2(X2,X1),X2)
    | apply(X1,X3,esk10_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_10,c_0_114]) ).

cnf(c_0_121,plain,
    ( ~ member(esk6_2(esk3_0,esk2_0),esk1_0)
    | member(esk5_2(esk3_0,esk2_0),esk3_0)
    | apply(esk2_0,esk9_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_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_115,c_0_116]),c_0_64])]),c_0_76]),c_0_117]),c_0_106]) ).

cnf(c_0_122,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_7]) ).

cnf(c_0_123,plain,
    ( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
    | ~ apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
    | epred1_2(X2,X1)
    | member(esk9_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_124,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_7]) ).

cnf(c_0_125,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk7_2(esk3_0,esk2_0),esk3_0)
    | apply(esk2_0,esk8_2(esk3_0,esk2_0),esk10_2(esk3_0,esk2_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_97]),c_0_64])]),c_0_86]) ).

cnf(c_0_126,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_7]) ).

cnf(c_0_127,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk6_2(esk3_0,esk2_0),esk3_0)
    | apply(esk2_0,esk8_2(esk3_0,esk2_0),esk10_2(esk3_0,esk2_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_100]),c_0_64])]),c_0_91]) ).

cnf(c_0_128,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_7]) ).

cnf(c_0_129,plain,
    ( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
    | ~ apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
    | epred1_2(X2,X1)
    | member(esk8_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_130,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_7]) ).

cnf(c_0_131,plain,
    ( ~ apply(X2,esk5_2(X1,X2),esk5_2(X1,X2))
    | ~ apply(X2,esk7_2(X1,X2),esk6_2(X1,X2))
    | epred1_2(X2,X1)
    | member(esk10_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_132,plain,
    ( ~ member(X1,X2)
    | ~ member(esk9_2(esk3_0,esk2_0),X2)
    | ~ member(esk10_2(esk3_0,esk2_0),X2)
    | ~ member(esk6_2(esk3_0,esk2_0),esk1_0)
    | ~ apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
    | ~ epred1_2(esk2_0,X2)
    | member(esk5_2(esk3_0,esk2_0),esk3_0)
    | apply(esk2_0,X1,esk10_2(esk3_0,esk2_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_106]),c_0_76]) ).

cnf(c_0_133,plain,
    ( ~ member(esk9_2(esk3_0,esk2_0),X1)
    | ~ member(esk8_2(esk3_0,esk2_0),X1)
    | ~ member(esk6_2(esk3_0,esk2_0),esk1_0)
    | ~ epred1_2(esk2_0,X1)
    | member(esk5_2(esk3_0,esk2_0),esk3_0)
    | apply(esk2_0,esk8_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_34,c_0_121]) ).

cnf(c_0_134,plain,
    ( ~ member(esk6_2(X2,X1),X3)
    | ~ member(esk7_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(spm,[status(thm)],[c_0_34,c_0_122]),c_0_123]) ).

cnf(c_0_135,plain,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk7_2(esk3_0,esk2_0),esk3_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_76]),c_0_67]) ).

cnf(c_0_136,plain,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk6_2(esk3_0,esk2_0),esk3_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_76]),c_0_67]) ).

cnf(c_0_137,plain,
    ( ~ member(esk6_2(X2,X1),X3)
    | ~ member(esk7_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(spm,[status(thm)],[c_0_34,c_0_128]),c_0_129]) ).

cnf(c_0_138,plain,
    ( ~ member(esk6_2(X2,X1),X3)
    | ~ member(esk7_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(spm,[status(thm)],[c_0_34,c_0_130]),c_0_131]) ).

cnf(c_0_139,plain,
    ( ~ apply(X1,esk7_2(X2,X1),esk6_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_7]) ).

cnf(c_0_140,negated_conjecture,
    ( ~ member(X1,esk1_0)
    | ~ member(esk6_2(esk3_0,esk2_0),esk1_0)
    | ~ apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
    | member(esk5_2(esk3_0,esk2_0),esk3_0)
    | apply(esk2_0,X1,esk10_2(esk3_0,esk2_0)) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_54]),c_0_64])]),c_0_76]),c_0_116]) ).

cnf(c_0_141,negated_conjecture,
    ( ~ member(esk6_2(esk3_0,esk2_0),esk1_0)
    | member(esk5_2(esk3_0,esk2_0),esk3_0)
    | apply(esk2_0,esk8_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_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_55]),c_0_64])]),c_0_76]),c_0_117]) ).

cnf(c_0_142,negated_conjecture,
    ( ~ member(esk6_2(X1,esk2_0),X2)
    | ~ member(esk7_2(X1,esk2_0),X2)
    | ~ member(esk5_2(X1,esk2_0),esk1_0)
    | ~ epred1_2(esk2_0,X2)
    | member(esk9_2(X1,esk2_0),X1)
    | epred1_2(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_134,c_0_67]) ).

cnf(c_0_143,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk7_2(esk3_0,esk2_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_135]) ).

cnf(c_0_144,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk6_2(esk3_0,esk2_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_136]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ member(esk6_2(X1,esk2_0),X2)
    | ~ member(esk7_2(X1,esk2_0),X2)
    | ~ member(esk5_2(X1,esk2_0),esk1_0)
    | ~ epred1_2(esk2_0,X2)
    | member(esk8_2(X1,esk2_0),X1)
    | epred1_2(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_137,c_0_67]) ).

cnf(c_0_146,negated_conjecture,
    ( ~ member(esk6_2(X1,esk2_0),X2)
    | ~ member(esk7_2(X1,esk2_0),X2)
    | ~ member(esk5_2(X1,esk2_0),esk1_0)
    | ~ epred1_2(esk2_0,X2)
    | member(esk10_2(X1,esk2_0),X1)
    | epred1_2(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_138,c_0_67]) ).

cnf(c_0_147,plain,
    ( ~ member(esk6_2(esk3_0,esk2_0),esk1_0)
    | member(esk5_2(esk3_0,esk2_0),esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_76]),c_0_117]),c_0_141]),c_0_106]) ).

cnf(c_0_148,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_7]) ).

cnf(c_0_149,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk9_2(esk3_0,esk2_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_142,c_0_143]),c_0_64])]),c_0_76]),c_0_144]) ).

cnf(c_0_150,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk8_2(esk3_0,esk2_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_145,c_0_143]),c_0_64])]),c_0_76]),c_0_144]) ).

cnf(c_0_151,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk10_2(esk3_0,esk2_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_146,c_0_143]),c_0_64])]),c_0_76]),c_0_144]) ).

cnf(c_0_152,negated_conjecture,
    member(esk5_2(esk3_0,esk2_0),esk3_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_43]),c_0_64])]),c_0_76]) ).

cnf(c_0_153,plain,
    ( ~ member(esk8_2(X2,X1),X3)
    | ~ member(esk9_2(X2,X1),X3)
    | ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ epred1_2(X1,X3)
    | apply(X1,esk9_2(X2,X1),esk8_2(X2,X1))
    | apply(X1,esk6_2(X2,X1),esk7_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_148]) ).

cnf(c_0_154,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk9_2(esk3_0,esk2_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_149]) ).

cnf(c_0_155,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk8_2(esk3_0,esk2_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_150]) ).

cnf(c_0_156,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_7]) ).

cnf(c_0_157,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | member(esk10_2(esk3_0,esk2_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_151]) ).

cnf(c_0_158,negated_conjecture,
    member(esk5_2(esk3_0,esk2_0),esk1_0),
    inference(spm,[status(thm)],[c_0_12,c_0_152]) ).

cnf(c_0_159,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
    | apply(esk2_0,esk9_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_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_153,c_0_154]),c_0_64])]),c_0_76]),c_0_155]),c_0_67]) ).

cnf(c_0_160,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_10,c_0_156]) ).

cnf(c_0_161,negated_conjecture,
    member(esk10_2(esk3_0,esk2_0),esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_158])]) ).

cnf(c_0_162,negated_conjecture,
    member(esk9_2(esk3_0,esk2_0),esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_158])]) ).

cnf(c_0_163,plain,
    ( ~ member(esk9_2(esk3_0,esk2_0),X1)
    | ~ member(esk8_2(esk3_0,esk2_0),X1)
    | ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | ~ epred1_2(esk2_0,X1)
    | apply(esk2_0,esk8_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_0))
    | apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_34,c_0_159]) ).

cnf(c_0_164,plain,
    ( ~ member(X1,esk1_0)
    | ~ apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
    | ~ apply(esk2_0,esk5_2(esk3_0,esk2_0),esk5_2(esk3_0,esk2_0))
    | apply(esk2_0,X1,esk10_2(esk3_0,esk2_0))
    | apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_64]),c_0_162])]),c_0_76]) ).

cnf(c_0_165,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
    | apply(esk2_0,esk8_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_154]),c_0_64])]),c_0_155]) ).

cnf(c_0_166,negated_conjecture,
    ( ~ member(X1,esk1_0)
    | ~ apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
    | apply(esk2_0,X1,esk10_2(esk3_0,esk2_0))
    | apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_67]),c_0_158])]) ).

cnf(c_0_167,negated_conjecture,
    ( apply(esk2_0,esk8_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_0))
    | apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_158])]) ).

cnf(c_0_168,negated_conjecture,
    member(esk8_2(esk3_0,esk2_0),esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_158])]) ).

cnf(c_0_169,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_7]) ).

cnf(c_0_170,negated_conjecture,
    ( apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
    | apply(esk2_0,esk8_2(esk3_0,esk2_0),esk10_2(esk3_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168])]) ).

cnf(c_0_171,plain,
    ( ~ apply(esk2_0,esk5_2(esk3_0,esk2_0),esk5_2(esk3_0,esk2_0))
    | apply(esk2_0,esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_76]) ).

cnf(c_0_172,plain,
    ( ~ member(X1,X2)
    | ~ member(esk6_2(esk3_0,esk2_0),X2)
    | ~ member(esk7_2(esk3_0,esk2_0),X2)
    | ~ apply(esk2_0,X1,esk6_2(esk3_0,esk2_0))
    | ~ apply(esk2_0,esk5_2(esk3_0,esk2_0),esk5_2(esk3_0,esk2_0))
    | ~ epred1_2(esk2_0,X2)
    | apply(esk2_0,X1,esk7_2(esk3_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_10,c_0_171]) ).

cnf(c_0_173,plain,
    ( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
    | epred1_2(X1,X2)
    | apply(X1,esk8_2(X2,X1),esk9_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_174,negated_conjecture,
    ( ~ member(X1,X2)
    | ~ member(esk6_2(esk3_0,esk2_0),X2)
    | ~ member(esk7_2(esk3_0,esk2_0),X2)
    | ~ apply(esk2_0,X1,esk6_2(esk3_0,esk2_0))
    | ~ epred1_2(esk2_0,X2)
    | apply(esk2_0,X1,esk7_2(esk3_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_67]),c_0_158])]) ).

cnf(c_0_175,negated_conjecture,
    member(esk7_2(esk3_0,esk2_0),esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_158])]) ).

cnf(c_0_176,negated_conjecture,
    member(esk6_2(esk3_0,esk2_0),esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_158])]) ).

cnf(c_0_177,plain,
    ( ~ member(esk8_2(X2,X1),X3)
    | ~ member(esk9_2(X2,X1),X3)
    | ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
    | ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ epred1_2(X1,X3)
    | apply(X1,esk9_2(X2,X1),esk8_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_173]) ).

cnf(c_0_178,negated_conjecture,
    ( ~ member(X1,esk1_0)
    | ~ apply(esk2_0,X1,esk6_2(esk3_0,esk2_0))
    | apply(esk2_0,X1,esk7_2(esk3_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_64]),c_0_176])]) ).

cnf(c_0_179,plain,
    ( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
    | epred1_2(X1,X2)
    | apply(X1,esk9_2(X2,X1),esk10_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_180,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | ~ apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
    | apply(esk2_0,esk9_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_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_177,c_0_154]),c_0_64])]),c_0_76]),c_0_155]),c_0_67]) ).

cnf(c_0_181,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,esk1_0)
    | ~ member(esk7_2(esk3_0,esk2_0),X2)
    | ~ apply(esk2_0,X1,esk6_2(esk3_0,esk2_0))
    | ~ epred1_2(esk2_0,X2)
    | apply(esk2_0,esk7_2(esk3_0,esk2_0),X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_178]) ).

cnf(c_0_182,plain,
    ( ~ member(esk9_2(X2,X1),X3)
    | ~ member(esk10_2(X2,X1),X3)
    | ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
    | ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ epred1_2(X1,X3)
    | apply(X1,esk10_2(X2,X1),esk9_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_179]) ).

cnf(c_0_183,negated_conjecture,
    ( ~ apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
    | apply(esk2_0,esk9_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_158])]) ).

cnf(c_0_184,negated_conjecture,
    ( ~ member(esk6_2(esk3_0,esk2_0),X1)
    | ~ member(esk7_2(esk3_0,esk2_0),X1)
    | ~ epred1_2(esk2_0,X1)
    | apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_67]),c_0_176])]) ).

cnf(c_0_185,negated_conjecture,
    ( ~ member(esk5_2(esk3_0,esk2_0),esk1_0)
    | ~ apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
    | apply(esk2_0,esk10_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_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_182,c_0_157]),c_0_64])]),c_0_76]),c_0_154]),c_0_67]) ).

cnf(c_0_186,plain,
    ( ~ member(X1,X2)
    | ~ member(esk9_2(esk3_0,esk2_0),X2)
    | ~ member(esk8_2(esk3_0,esk2_0),X2)
    | ~ apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
    | ~ apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
    | ~ epred1_2(esk2_0,X2)
    | apply(esk2_0,X1,esk8_2(esk3_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_10,c_0_183]) ).

cnf(c_0_187,negated_conjecture,
    apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_175]),c_0_64]),c_0_176])]) ).

cnf(c_0_188,negated_conjecture,
    ( ~ apply(esk2_0,esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
    | apply(esk2_0,esk10_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_158])]) ).

cnf(c_0_189,plain,
    ( ~ member(X1,X2)
    | ~ member(esk9_2(esk3_0,esk2_0),X2)
    | ~ member(esk8_2(esk3_0,esk2_0),X2)
    | ~ apply(esk2_0,X1,esk9_2(esk3_0,esk2_0))
    | ~ epred1_2(esk2_0,X2)
    | apply(esk2_0,X1,esk8_2(esk3_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_187])]) ).

cnf(c_0_190,negated_conjecture,
    apply(esk2_0,esk10_2(esk3_0,esk2_0),esk9_2(esk3_0,esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_187])]) ).

cnf(c_0_191,negated_conjecture,
    ( ~ member(esk10_2(esk3_0,esk2_0),X1)
    | ~ member(esk9_2(esk3_0,esk2_0),X1)
    | ~ member(esk8_2(esk3_0,esk2_0),X1)
    | ~ epred1_2(esk2_0,X1)
    | apply(esk2_0,esk10_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_192,negated_conjecture,
    apply(esk2_0,esk10_2(esk3_0,esk2_0),esk8_2(esk3_0,esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_161]),c_0_64]),c_0_168]),c_0_162])]) ).

cnf(c_0_193,plain,
    ( ~ member(esk10_2(esk3_0,esk2_0),X1)
    | ~ member(esk8_2(esk3_0,esk2_0),X1)
    | ~ epred1_2(esk2_0,X1)
    | apply(esk2_0,esk8_2(esk3_0,esk2_0),esk10_2(esk3_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_34,c_0_192]) ).

cnf(c_0_194,plain,
    ( ~ apply(X1,esk5_2(X2,X1),esk5_2(X2,X1))
    | ~ apply(X1,esk7_2(X2,X1),esk6_2(X2,X1))
    | ~ apply(X1,esk8_2(X2,X1),esk10_2(X2,X1))
    | epred1_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_195,negated_conjecture,
    apply(esk2_0,esk8_2(esk3_0,esk2_0),esk10_2(esk3_0,esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_161]),c_0_64]),c_0_168])]) ).

cnf(c_0_196,plain,
    ~ apply(esk2_0,esk5_2(esk3_0,esk2_0),esk5_2(esk3_0,esk2_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_187])]),c_0_76]) ).

cnf(c_0_197,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_67]),c_0_158])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET765+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n018.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Mon Sep 21 05:38:58 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41  Running first-order theorem proving
% 0.12/0.41  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
% 0.46/0.51  % Version: 3.5.1
% 0.46/0.51  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.46/0.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.46/0.51  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.46/0.51  % Starting new_bool_3 with 300s (1) cores
% 0.46/0.51  % Starting new_bool_1 with 300s (1) cores
% 0.46/0.51  % Starting sh5l with 300s (1) cores
% 0.46/0.51  % new_bool_1 with pid 1074709 completed with status 0
% 0.46/0.51  % Result found by new_bool_1
% 0.46/0.51  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.46/0.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.46/0.51  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.46/0.51  % Starting new_bool_3 with 300s (1) cores
% 0.46/0.51  % Starting new_bool_1 with 300s (1) cores
% 0.46/0.51  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.46/0.51  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.46/0.51  % Search class: FGUNF-FFMF22-SFFFFFNN
% 0.46/0.51  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.46/0.51  % Starting SubtermCWHack with 31s (1) cores
% 0.46/0.51  % SubtermCWHack with pid 1074712 completed with status 0
% 0.46/0.51  % Result found by SubtermCWHack
% 0.46/0.51  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.46/0.51  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.46/0.51  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.46/0.51  % Starting new_bool_3 with 300s (1) cores
% 0.46/0.51  % Starting new_bool_1 with 300s (1) cores
% 0.46/0.51  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.46/0.51  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.46/0.51  % Search class: FGUNF-FFMF22-SFFFFFNN
% 0.46/0.51  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.46/0.51  % Starting SubtermCWHack with 31s (1) cores
% 0.46/0.51  % Preprocessing time       : 0.002 s
% 0.46/0.51  
% 0.46/0.51  % Proof found!
% 0.46/0.51  % SZS status Theorem
% 0.46/0.51  % SZS output start CNFRefutation
% See solution above
% 0.46/0.51  % Parsed axioms                        : 17
% 0.46/0.51  % Removed by relevancy pruning/SinE    : 14
% 0.46/0.51  % Initial clauses                      : 59
% 0.46/0.51  % Removed in clause preprocessing      : 0
% 0.46/0.51  % Initial clauses in saturation        : 59
% 0.46/0.51  % Processed clauses                    : 623
% 0.46/0.51  % ...of these trivial                  : 9
% 0.46/0.51  % ...subsumed                          : 257
% 0.46/0.51  % ...remaining for further processing  : 357
% 0.46/0.51  % Other redundant clauses eliminated   : 0
% 0.46/0.51  % Clauses deleted for lack of memory   : 0
% 0.46/0.51  % Backward-subsumed                    : 144
% 0.46/0.51  % Backward-rewritten                   : 45
% 0.46/0.51  % Generated clauses                    : 1596
% 0.46/0.51  % ...of the previous two non-redundant : 1010
% 0.46/0.51  % ...aggressively subsumed             : 0
% 0.46/0.51  % Contextual simplify-reflections      : 126
% 0.46/0.51  % Paramodulations                      : 1596
% 0.46/0.51  % Factorizations                       : 0
% 0.46/0.51  % NegExts                              : 0
% 0.46/0.51  % Equation resolutions                 : 0
% 0.46/0.51  % Disequality decompositions           : 0
% 0.46/0.51  % Total rewrite steps                  : 1022
% 0.46/0.51  % ...of those cached                   : 1000
% 0.46/0.51  % Propositional unsat checks           : 0
% 0.46/0.51  %    Propositional check models        : 0
% 0.46/0.51  %    Propositional check unsatisfiable : 0
% 0.46/0.51  %    Propositional clauses             : 0
% 0.46/0.51  %    Propositional clauses after purity: 0
% 0.46/0.51  %    Propositional unsat core size     : 0
% 0.46/0.51  %    Propositional preprocessing time  : 0.000
% 0.46/0.51  %    Propositional encoding time       : 0.000
% 0.46/0.51  %    Propositional solver time         : 0.000
% 0.46/0.51  %    Success case prop preproc time    : 0.000
% 0.46/0.51  %    Success case prop encoding time   : 0.000
% 0.46/0.51  %    Success case prop solver time     : 0.000
% 0.46/0.51  % Current number of processed clauses  : 168
% 0.46/0.51  %    Positive orientable unit clauses  : 24
% 0.46/0.51  %    Positive unorientable unit clauses: 0
% 0.46/0.51  %    Negative unit clauses             : 3
% 0.46/0.51  %    Non-unit-clauses                  : 141
% 0.46/0.51  % Current number of unprocessed clauses: 158
% 0.46/0.51  % ...number of literals in the above   : 1238
% 0.46/0.51  % Current number of archived formulas  : 0
% 0.46/0.51  % Current number of archived clauses   : 189
% 0.46/0.51  % Clause-clause subsumption calls (NU) : 20770
% 0.46/0.51  % Rec. Clause-clause subsumption calls : 3894
% 0.46/0.51  % Non-unit clause-clause subsumptions  : 512
% 0.46/0.51  % Unit Clause-clause subsumption calls : 795
% 0.46/0.51  % Rewrite failures with RHS unbound    : 0
% 0.46/0.51  % BW rewrite match attempts            : 22
% 0.46/0.51  % BW rewrite match successes           : 10
% 0.46/0.51  % Condensation attempts                : 0
% 0.46/0.51  % Condensation successes               : 0
% 0.46/0.51  % Termbank termtop insertions          : 63535
% 0.46/0.51  % Search garbage collected termcells   : 759
% 0.46/0.51  
% 0.46/0.51  % -------------------------------------------------
% 0.46/0.51  % User time                : 0.073 s
% 0.46/0.51  % System time              : 0.007 s
% 0.46/0.51  % Total time               : 0.080 s
% 0.46/0.51  % Maximum resident set size: 3664 pages
% 0.46/0.51  
% 0.46/0.51  % -------------------------------------------------
% 0.46/0.51  % User time                : 0.075 s
% 0.46/0.51  % System time              : 0.009 s
% 0.46/0.51  % Total time               : 0.084 s
% 0.46/0.51  % Maximum resident set size: 4608 pages
% 0.46/0.51  % E exiting
%------------------------------------------------------------------------------