TSTP Solution File: SET771+4 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SET771+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 00:53:52 EDT 2022

% Result   : Theorem 0.21s 1.41s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(thIII07,conjecture,
    ! [X6,X1,X2,X15] :
      ( ( maps(X6,X1,X2)
        & ! [X13,X14] :
            ( ( member(X13,X1)
              & member(X14,X1) )
           => ( apply(X15,X13,X14)
            <=> ? [X5] :
                  ( member(X5,X2)
                  & apply(X6,X13,X5)
                  & apply(X6,X14,X5) ) ) ) )
     => equivalence(X15,X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',thIII07) ).

fof(maps,axiom,
    ! [X6,X1,X2] :
      ( maps(X6,X1,X2)
    <=> ( ! [X3] :
            ( member(X3,X1)
           => ? [X5] :
                ( member(X5,X2)
                & apply(X6,X3,X5) ) )
        & ! [X3,X7,X8] :
            ( ( member(X3,X1)
              & member(X7,X2)
              & member(X8,X2) )
           => ( ( apply(X6,X3,X7)
                & apply(X6,X3,X8) )
             => X7 = X8 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',maps) ).

fof(equivalence,axiom,
    ! [X1,X15] :
      ( equivalence(X15,X1)
    <=> ( ! [X3] :
            ( member(X3,X1)
           => apply(X15,X3,X3) )
        & ! [X3,X5] :
            ( ( member(X3,X1)
              & member(X5,X1) )
           => ( apply(X15,X3,X5)
             => apply(X15,X5,X3) ) )
        & ! [X3,X5,X12] :
            ( ( member(X3,X1)
              & member(X5,X1)
              & member(X12,X1) )
           => ( ( apply(X15,X3,X5)
                & apply(X15,X5,X12) )
             => apply(X15,X3,X12) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+2.ax',equivalence) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X6,X1,X2,X15] :
        ( ( maps(X6,X1,X2)
          & ! [X13,X14] :
              ( ( member(X13,X1)
                & member(X14,X1) )
             => ( apply(X15,X13,X14)
              <=> ? [X5] :
                    ( member(X5,X2)
                    & apply(X6,X13,X5)
                    & apply(X6,X14,X5) ) ) ) )
       => equivalence(X15,X1) ),
    inference(assume_negation,[status(cth)],[thIII07]) ).

fof(c_0_4,plain,
    ! [X1,X15] :
      ( epred1_2(X15,X1)
    <=> ( ! [X3] :
            ( member(X3,X1)
           => apply(X15,X3,X3) )
        & ! [X3,X5] :
            ( ( member(X3,X1)
              & member(X5,X1) )
           => ( apply(X15,X3,X5)
             => apply(X15,X5,X3) ) )
        & ! [X3,X5,X12] :
            ( ( member(X3,X1)
              & member(X5,X1)
              & member(X12,X1) )
           => ( ( apply(X15,X3,X5)
                & apply(X15,X5,X12) )
             => apply(X15,X3,X12) ) ) ) ),
    introduced(definition) ).

fof(c_0_5,negated_conjecture,
    ! [X20,X21,X23] :
      ( maps(esk1_0,esk2_0,esk3_0)
      & ( member(esk5_2(X20,X21),esk3_0)
        | ~ apply(esk4_0,X20,X21)
        | ~ member(X20,esk2_0)
        | ~ member(X21,esk2_0) )
      & ( apply(esk1_0,X20,esk5_2(X20,X21))
        | ~ apply(esk4_0,X20,X21)
        | ~ member(X20,esk2_0)
        | ~ member(X21,esk2_0) )
      & ( apply(esk1_0,X21,esk5_2(X20,X21))
        | ~ apply(esk4_0,X20,X21)
        | ~ member(X20,esk2_0)
        | ~ member(X21,esk2_0) )
      & ( ~ member(X23,esk3_0)
        | ~ apply(esk1_0,X20,X23)
        | ~ apply(esk1_0,X21,X23)
        | apply(esk4_0,X20,X21)
        | ~ member(X20,esk2_0)
        | ~ member(X21,esk2_0) )
      & ~ equivalence(esk4_0,esk2_0) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])])]) ).

fof(c_0_6,plain,
    ! [X16,X17,X18,X19,X20,X21,X22,X23,X16,X17] :
      ( ( ~ member(X18,X16)
        | apply(X17,X18,X18)
        | ~ epred1_2(X17,X16) )
      & ( ~ member(X19,X16)
        | ~ member(X20,X16)
        | ~ apply(X17,X19,X20)
        | apply(X17,X20,X19)
        | ~ epred1_2(X17,X16) )
      & ( ~ member(X21,X16)
        | ~ member(X22,X16)
        | ~ member(X23,X16)
        | ~ apply(X17,X21,X22)
        | ~ apply(X17,X22,X23)
        | apply(X17,X21,X23)
        | ~ epred1_2(X17,X16) )
      & ( member(esk14_2(X16,X17),X16)
        | member(esk12_2(X16,X17),X16)
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk15_2(X16,X17),X16)
        | member(esk12_2(X16,X17),X16)
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk16_2(X16,X17),X16)
        | member(esk12_2(X16,X17),X16)
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( apply(X17,esk14_2(X16,X17),esk15_2(X16,X17))
        | member(esk12_2(X16,X17),X16)
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( apply(X17,esk15_2(X16,X17),esk16_2(X16,X17))
        | member(esk12_2(X16,X17),X16)
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( ~ apply(X17,esk14_2(X16,X17),esk16_2(X16,X17))
        | member(esk12_2(X16,X17),X16)
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk14_2(X16,X17),X16)
        | member(esk13_2(X16,X17),X16)
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk15_2(X16,X17),X16)
        | member(esk13_2(X16,X17),X16)
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk16_2(X16,X17),X16)
        | member(esk13_2(X16,X17),X16)
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( apply(X17,esk14_2(X16,X17),esk15_2(X16,X17))
        | member(esk13_2(X16,X17),X16)
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( apply(X17,esk15_2(X16,X17),esk16_2(X16,X17))
        | member(esk13_2(X16,X17),X16)
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( ~ apply(X17,esk14_2(X16,X17),esk16_2(X16,X17))
        | member(esk13_2(X16,X17),X16)
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk14_2(X16,X17),X16)
        | apply(X17,esk12_2(X16,X17),esk13_2(X16,X17))
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk15_2(X16,X17),X16)
        | apply(X17,esk12_2(X16,X17),esk13_2(X16,X17))
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk16_2(X16,X17),X16)
        | apply(X17,esk12_2(X16,X17),esk13_2(X16,X17))
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( apply(X17,esk14_2(X16,X17),esk15_2(X16,X17))
        | apply(X17,esk12_2(X16,X17),esk13_2(X16,X17))
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( apply(X17,esk15_2(X16,X17),esk16_2(X16,X17))
        | apply(X17,esk12_2(X16,X17),esk13_2(X16,X17))
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( ~ apply(X17,esk14_2(X16,X17),esk16_2(X16,X17))
        | apply(X17,esk12_2(X16,X17),esk13_2(X16,X17))
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk14_2(X16,X17),X16)
        | ~ apply(X17,esk13_2(X16,X17),esk12_2(X16,X17))
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk15_2(X16,X17),X16)
        | ~ apply(X17,esk13_2(X16,X17),esk12_2(X16,X17))
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk16_2(X16,X17),X16)
        | ~ apply(X17,esk13_2(X16,X17),esk12_2(X16,X17))
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( apply(X17,esk14_2(X16,X17),esk15_2(X16,X17))
        | ~ apply(X17,esk13_2(X16,X17),esk12_2(X16,X17))
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( apply(X17,esk15_2(X16,X17),esk16_2(X16,X17))
        | ~ apply(X17,esk13_2(X16,X17),esk12_2(X16,X17))
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( ~ apply(X17,esk14_2(X16,X17),esk16_2(X16,X17))
        | ~ apply(X17,esk13_2(X16,X17),esk12_2(X16,X17))
        | member(esk11_2(X16,X17),X16)
        | epred1_2(X17,X16) )
      & ( member(esk14_2(X16,X17),X16)
        | member(esk12_2(X16,X17),X16)
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( member(esk15_2(X16,X17),X16)
        | member(esk12_2(X16,X17),X16)
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( member(esk16_2(X16,X17),X16)
        | member(esk12_2(X16,X17),X16)
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( apply(X17,esk14_2(X16,X17),esk15_2(X16,X17))
        | member(esk12_2(X16,X17),X16)
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( apply(X17,esk15_2(X16,X17),esk16_2(X16,X17))
        | member(esk12_2(X16,X17),X16)
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( ~ apply(X17,esk14_2(X16,X17),esk16_2(X16,X17))
        | member(esk12_2(X16,X17),X16)
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( member(esk14_2(X16,X17),X16)
        | member(esk13_2(X16,X17),X16)
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( member(esk15_2(X16,X17),X16)
        | member(esk13_2(X16,X17),X16)
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( member(esk16_2(X16,X17),X16)
        | member(esk13_2(X16,X17),X16)
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( apply(X17,esk14_2(X16,X17),esk15_2(X16,X17))
        | member(esk13_2(X16,X17),X16)
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( apply(X17,esk15_2(X16,X17),esk16_2(X16,X17))
        | member(esk13_2(X16,X17),X16)
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( ~ apply(X17,esk14_2(X16,X17),esk16_2(X16,X17))
        | member(esk13_2(X16,X17),X16)
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( member(esk14_2(X16,X17),X16)
        | apply(X17,esk12_2(X16,X17),esk13_2(X16,X17))
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( member(esk15_2(X16,X17),X16)
        | apply(X17,esk12_2(X16,X17),esk13_2(X16,X17))
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( member(esk16_2(X16,X17),X16)
        | apply(X17,esk12_2(X16,X17),esk13_2(X16,X17))
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( apply(X17,esk14_2(X16,X17),esk15_2(X16,X17))
        | apply(X17,esk12_2(X16,X17),esk13_2(X16,X17))
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( apply(X17,esk15_2(X16,X17),esk16_2(X16,X17))
        | apply(X17,esk12_2(X16,X17),esk13_2(X16,X17))
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( ~ apply(X17,esk14_2(X16,X17),esk16_2(X16,X17))
        | apply(X17,esk12_2(X16,X17),esk13_2(X16,X17))
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( member(esk14_2(X16,X17),X16)
        | ~ apply(X17,esk13_2(X16,X17),esk12_2(X16,X17))
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( member(esk15_2(X16,X17),X16)
        | ~ apply(X17,esk13_2(X16,X17),esk12_2(X16,X17))
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( member(esk16_2(X16,X17),X16)
        | ~ apply(X17,esk13_2(X16,X17),esk12_2(X16,X17))
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( apply(X17,esk14_2(X16,X17),esk15_2(X16,X17))
        | ~ apply(X17,esk13_2(X16,X17),esk12_2(X16,X17))
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( apply(X17,esk15_2(X16,X17),esk16_2(X16,X17))
        | ~ apply(X17,esk13_2(X16,X17),esk12_2(X16,X17))
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) )
      & ( ~ apply(X17,esk14_2(X16,X17),esk16_2(X16,X17))
        | ~ apply(X17,esk13_2(X16,X17),esk12_2(X16,X17))
        | ~ apply(X17,esk11_2(X16,X17),esk11_2(X16,X17))
        | epred1_2(X17,X16) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])])]) ).

cnf(c_0_7,negated_conjecture,
    ( apply(esk1_0,X1,esk5_2(X2,X1))
    | ~ member(X1,esk2_0)
    | ~ member(X2,esk2_0)
    | ~ apply(esk4_0,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
    | apply(X1,esk15_2(X2,X1),esk16_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    ( member(esk5_2(X2,X1),esk3_0)
    | ~ member(X1,esk2_0)
    | ~ member(X2,esk2_0)
    | ~ apply(esk4_0,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | member(esk13_2(X2,X1),X2)
    | apply(X1,esk15_2(X2,X1),esk16_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | member(esk12_2(X2,X1),X2)
    | apply(X1,esk15_2(X2,X1),esk16_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
    | apply(X1,esk14_2(X2,X1),esk15_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_13,negated_conjecture,
    ( epred1_2(esk4_0,X1)
    | apply(esk1_0,esk16_2(X1,esk4_0),esk5_2(esk15_2(X1,esk4_0),esk16_2(X1,esk4_0)))
    | apply(esk4_0,esk12_2(X1,esk4_0),esk13_2(X1,esk4_0))
    | member(esk11_2(X1,esk4_0),X1)
    | ~ member(esk15_2(X1,esk4_0),esk2_0)
    | ~ member(esk16_2(X1,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_14,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
    | member(esk15_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_15,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
    | member(esk16_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_16,negated_conjecture,
    ( epred1_2(esk4_0,X1)
    | apply(esk4_0,esk12_2(X1,esk4_0),esk13_2(X1,esk4_0))
    | member(esk5_2(esk15_2(X1,esk4_0),esk16_2(X1,esk4_0)),esk3_0)
    | member(esk11_2(X1,esk4_0),X1)
    | ~ member(esk15_2(X1,esk4_0),esk2_0)
    | ~ member(esk16_2(X1,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_8]) ).

cnf(c_0_17,negated_conjecture,
    ( apply(esk1_0,X2,esk5_2(X2,X1))
    | ~ member(X1,esk2_0)
    | ~ member(X2,esk2_0)
    | ~ apply(esk4_0,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_18,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | member(esk13_2(X2,X1),X2)
    | apply(X1,esk14_2(X2,X1),esk15_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_19,negated_conjecture,
    ( epred1_2(esk4_0,X1)
    | apply(esk1_0,esk16_2(X1,esk4_0),esk5_2(esk15_2(X1,esk4_0),esk16_2(X1,esk4_0)))
    | member(esk11_2(X1,esk4_0),X1)
    | member(esk13_2(X1,esk4_0),X1)
    | ~ member(esk15_2(X1,esk4_0),esk2_0)
    | ~ member(esk16_2(X1,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_7,c_0_10]) ).

cnf(c_0_20,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | member(esk13_2(X2,X1),X2)
    | member(esk15_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_21,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | member(esk13_2(X2,X1),X2)
    | member(esk16_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_22,negated_conjecture,
    ( epred1_2(esk4_0,X1)
    | member(esk5_2(esk15_2(X1,esk4_0),esk16_2(X1,esk4_0)),esk3_0)
    | member(esk11_2(X1,esk4_0),X1)
    | member(esk13_2(X1,esk4_0),X1)
    | ~ member(esk15_2(X1,esk4_0),esk2_0)
    | ~ member(esk16_2(X1,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_23,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | member(esk12_2(X2,X1),X2)
    | apply(X1,esk14_2(X2,X1),esk15_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_24,negated_conjecture,
    ( epred1_2(esk4_0,X1)
    | apply(esk1_0,esk16_2(X1,esk4_0),esk5_2(esk15_2(X1,esk4_0),esk16_2(X1,esk4_0)))
    | member(esk11_2(X1,esk4_0),X1)
    | member(esk12_2(X1,esk4_0),X1)
    | ~ member(esk15_2(X1,esk4_0),esk2_0)
    | ~ member(esk16_2(X1,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_7,c_0_11]) ).

cnf(c_0_25,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | member(esk12_2(X2,X1),X2)
    | member(esk15_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_26,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | member(esk12_2(X2,X1),X2)
    | member(esk16_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_27,negated_conjecture,
    ( epred1_2(esk4_0,X1)
    | member(esk5_2(esk15_2(X1,esk4_0),esk16_2(X1,esk4_0)),esk3_0)
    | member(esk11_2(X1,esk4_0),X1)
    | member(esk12_2(X1,esk4_0),X1)
    | ~ member(esk15_2(X1,esk4_0),esk2_0)
    | ~ member(esk16_2(X1,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_11]) ).

fof(c_0_28,plain,
    ! [X9,X10,X11,X12,X14,X15,X16,X9,X10,X11,X18] :
      ( ( member(esk6_4(X9,X10,X11,X12),X11)
        | ~ member(X12,X10)
        | ~ maps(X9,X10,X11) )
      & ( apply(X9,X12,esk6_4(X9,X10,X11,X12))
        | ~ member(X12,X10)
        | ~ maps(X9,X10,X11) )
      & ( ~ member(X14,X10)
        | ~ member(X15,X11)
        | ~ member(X16,X11)
        | ~ apply(X9,X14,X15)
        | ~ apply(X9,X14,X16)
        | X15 = X16
        | ~ maps(X9,X10,X11) )
      & ( member(esk8_3(X9,X10,X11),X10)
        | member(esk7_3(X9,X10,X11),X10)
        | maps(X9,X10,X11) )
      & ( member(esk9_3(X9,X10,X11),X11)
        | member(esk7_3(X9,X10,X11),X10)
        | maps(X9,X10,X11) )
      & ( member(esk10_3(X9,X10,X11),X11)
        | member(esk7_3(X9,X10,X11),X10)
        | maps(X9,X10,X11) )
      & ( apply(X9,esk8_3(X9,X10,X11),esk9_3(X9,X10,X11))
        | member(esk7_3(X9,X10,X11),X10)
        | maps(X9,X10,X11) )
      & ( apply(X9,esk8_3(X9,X10,X11),esk10_3(X9,X10,X11))
        | member(esk7_3(X9,X10,X11),X10)
        | maps(X9,X10,X11) )
      & ( esk9_3(X9,X10,X11) != esk10_3(X9,X10,X11)
        | member(esk7_3(X9,X10,X11),X10)
        | maps(X9,X10,X11) )
      & ( member(esk8_3(X9,X10,X11),X10)
        | ~ member(X18,X11)
        | ~ apply(X9,esk7_3(X9,X10,X11),X18)
        | maps(X9,X10,X11) )
      & ( member(esk9_3(X9,X10,X11),X11)
        | ~ member(X18,X11)
        | ~ apply(X9,esk7_3(X9,X10,X11),X18)
        | maps(X9,X10,X11) )
      & ( member(esk10_3(X9,X10,X11),X11)
        | ~ member(X18,X11)
        | ~ apply(X9,esk7_3(X9,X10,X11),X18)
        | maps(X9,X10,X11) )
      & ( apply(X9,esk8_3(X9,X10,X11),esk9_3(X9,X10,X11))
        | ~ member(X18,X11)
        | ~ apply(X9,esk7_3(X9,X10,X11),X18)
        | maps(X9,X10,X11) )
      & ( apply(X9,esk8_3(X9,X10,X11),esk10_3(X9,X10,X11))
        | ~ member(X18,X11)
        | ~ apply(X9,esk7_3(X9,X10,X11),X18)
        | maps(X9,X10,X11) )
      & ( esk9_3(X9,X10,X11) != esk10_3(X9,X10,X11)
        | ~ member(X18,X11)
        | ~ apply(X9,esk7_3(X9,X10,X11),X18)
        | maps(X9,X10,X11) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[maps])])])])])])]) ).

cnf(c_0_29,negated_conjecture,
    ( epred1_2(esk4_0,X1)
    | apply(esk1_0,esk15_2(X1,esk4_0),esk5_2(esk14_2(X1,esk4_0),esk15_2(X1,esk4_0)))
    | apply(esk4_0,esk12_2(X1,esk4_0),esk13_2(X1,esk4_0))
    | member(esk11_2(X1,esk4_0),X1)
    | ~ member(esk14_2(X1,esk4_0),esk2_0)
    | ~ member(esk15_2(X1,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_7,c_0_12]) ).

cnf(c_0_30,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
    | member(esk14_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_31,negated_conjecture,
    ( apply(esk4_0,X2,X1)
    | ~ member(X1,esk2_0)
    | ~ member(X2,esk2_0)
    | ~ apply(esk1_0,X1,X3)
    | ~ apply(esk1_0,X2,X3)
    | ~ member(X3,esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_32,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)))
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).

cnf(c_0_33,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | member(esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)),esk3_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_14]),c_0_15]) ).

cnf(c_0_34,negated_conjecture,
    ( epred1_2(esk4_0,X1)
    | apply(esk1_0,esk15_2(X1,esk4_0),esk5_2(esk15_2(X1,esk4_0),esk16_2(X1,esk4_0)))
    | apply(esk4_0,esk12_2(X1,esk4_0),esk13_2(X1,esk4_0))
    | member(esk11_2(X1,esk4_0),X1)
    | ~ member(esk15_2(X1,esk4_0),esk2_0)
    | ~ member(esk16_2(X1,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_17,c_0_8]) ).

cnf(c_0_35,negated_conjecture,
    ( epred1_2(esk4_0,X1)
    | apply(esk1_0,esk15_2(X1,esk4_0),esk5_2(esk14_2(X1,esk4_0),esk15_2(X1,esk4_0)))
    | member(esk11_2(X1,esk4_0),X1)
    | member(esk13_2(X1,esk4_0),X1)
    | ~ member(esk14_2(X1,esk4_0),esk2_0)
    | ~ member(esk15_2(X1,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_7,c_0_18]) ).

cnf(c_0_36,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | member(esk13_2(X2,X1),X2)
    | member(esk14_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_37,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)))
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).

cnf(c_0_38,plain,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)),esk3_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_20]),c_0_21]) ).

cnf(c_0_39,negated_conjecture,
    ( epred1_2(esk4_0,X1)
    | apply(esk1_0,esk15_2(X1,esk4_0),esk5_2(esk15_2(X1,esk4_0),esk16_2(X1,esk4_0)))
    | member(esk11_2(X1,esk4_0),X1)
    | member(esk13_2(X1,esk4_0),X1)
    | ~ member(esk15_2(X1,esk4_0),esk2_0)
    | ~ member(esk16_2(X1,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_17,c_0_10]) ).

cnf(c_0_40,negated_conjecture,
    ( epred1_2(esk4_0,X1)
    | apply(esk1_0,esk15_2(X1,esk4_0),esk5_2(esk14_2(X1,esk4_0),esk15_2(X1,esk4_0)))
    | member(esk11_2(X1,esk4_0),X1)
    | member(esk12_2(X1,esk4_0),X1)
    | ~ member(esk14_2(X1,esk4_0),esk2_0)
    | ~ member(esk15_2(X1,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_7,c_0_23]) ).

cnf(c_0_41,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | member(esk12_2(X2,X1),X2)
    | member(esk14_2(X2,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_42,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)))
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).

cnf(c_0_43,plain,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)),esk3_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_25]),c_0_26]) ).

cnf(c_0_44,negated_conjecture,
    ( epred1_2(esk4_0,X1)
    | apply(esk1_0,esk15_2(X1,esk4_0),esk5_2(esk15_2(X1,esk4_0),esk16_2(X1,esk4_0)))
    | member(esk11_2(X1,esk4_0),X1)
    | member(esk12_2(X1,esk4_0),X1)
    | ~ member(esk15_2(X1,esk4_0),esk2_0)
    | ~ member(esk16_2(X1,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_17,c_0_11]) ).

cnf(c_0_45,plain,
    ( X4 = X5
    | ~ maps(X1,X2,X3)
    | ~ apply(X1,X6,X5)
    | ~ apply(X1,X6,X4)
    | ~ member(X5,X3)
    | ~ member(X4,X3)
    | ~ member(X6,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_46,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_14]) ).

cnf(c_0_47,negated_conjecture,
    ( epred1_2(esk4_0,X1)
    | apply(esk4_0,esk12_2(X1,esk4_0),esk13_2(X1,esk4_0))
    | member(esk5_2(esk14_2(X1,esk4_0),esk15_2(X1,esk4_0)),esk3_0)
    | member(esk11_2(X1,esk4_0),X1)
    | ~ member(esk14_2(X1,esk4_0),esk2_0)
    | ~ member(esk15_2(X1,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_12]) ).

cnf(c_0_48,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | apply(esk4_0,esk16_2(esk2_0,esk4_0),X1)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,X1,esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)))
    | ~ member(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_15]),c_0_33]) ).

cnf(c_0_49,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)))
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_14]),c_0_15]) ).

cnf(c_0_50,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_20]) ).

cnf(c_0_51,negated_conjecture,
    ( epred1_2(esk4_0,X1)
    | member(esk5_2(esk14_2(X1,esk4_0),esk15_2(X1,esk4_0)),esk3_0)
    | member(esk11_2(X1,esk4_0),X1)
    | member(esk13_2(X1,esk4_0),X1)
    | ~ member(esk14_2(X1,esk4_0),esk2_0)
    | ~ member(esk15_2(X1,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_18]) ).

cnf(c_0_52,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk16_2(esk2_0,esk4_0),X1)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,X1,esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)))
    | ~ member(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_37]),c_0_21]),c_0_38]) ).

cnf(c_0_53,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)))
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_20]),c_0_21]) ).

cnf(c_0_54,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_25]) ).

cnf(c_0_55,negated_conjecture,
    ( epred1_2(esk4_0,X1)
    | member(esk5_2(esk14_2(X1,esk4_0),esk15_2(X1,esk4_0)),esk3_0)
    | member(esk11_2(X1,esk4_0),X1)
    | member(esk12_2(X1,esk4_0),X1)
    | ~ member(esk14_2(X1,esk4_0),esk2_0)
    | ~ member(esk15_2(X1,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_23]) ).

cnf(c_0_56,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk16_2(esk2_0,esk4_0),X1)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,X1,esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)))
    | ~ member(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_42]),c_0_26]),c_0_43]) ).

cnf(c_0_57,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)))
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_25]),c_0_26]) ).

cnf(c_0_58,plain,
    ( X1 = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,esk15_2(esk2_0,esk4_0),X1)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),X3)
    | ~ member(esk15_2(esk2_0,esk4_0),X2)
    | ~ member(X1,X3) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_59,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | member(esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),esk3_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_30]),c_0_14]) ).

cnf(c_0_60,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_14]) ).

cnf(c_0_61,plain,
    ( X1 = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,esk15_2(esk2_0,esk4_0),X1)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),X3)
    | ~ member(esk15_2(esk2_0,esk4_0),X2)
    | ~ member(X1,X3) ),
    inference(spm,[status(thm)],[c_0_45,c_0_50]) ).

cnf(c_0_62,plain,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),esk3_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_36]),c_0_20]) ).

cnf(c_0_63,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_20]) ).

cnf(c_0_64,plain,
    ( X1 = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,esk15_2(esk2_0,esk4_0),X1)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),X3)
    | ~ member(esk15_2(esk2_0,esk4_0),X2)
    | ~ member(X1,X3) ),
    inference(spm,[status(thm)],[c_0_45,c_0_54]) ).

cnf(c_0_65,plain,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),esk3_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_41]),c_0_25]) ).

cnf(c_0_66,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_25]) ).

cnf(c_0_67,plain,
    ( X1 = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,esk15_2(esk2_0,esk4_0),X1)
    | ~ maps(esk1_0,X2,esk3_0)
    | ~ member(esk15_2(esk2_0,esk4_0),X2)
    | ~ member(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_68,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_60]),c_0_14]),c_0_15]) ).

cnf(c_0_69,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | member(esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),esk3_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_60]),c_0_14]),c_0_15]) ).

cnf(c_0_70,plain,
    ( X1 = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,esk15_2(esk2_0,esk4_0),X1)
    | ~ maps(esk1_0,X2,esk3_0)
    | ~ member(esk15_2(esk2_0,esk4_0),X2)
    | ~ member(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_71,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_63]),c_0_20]),c_0_21]) ).

cnf(c_0_72,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),esk3_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_63]),c_0_20]),c_0_21]) ).

cnf(c_0_73,plain,
    ( X1 = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,esk15_2(esk2_0,esk4_0),X1)
    | ~ maps(esk1_0,X2,esk3_0)
    | ~ member(esk15_2(esk2_0,esk4_0),X2)
    | ~ member(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_74,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_66]),c_0_25]),c_0_26]) ).

cnf(c_0_75,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),esk3_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_66]),c_0_25]),c_0_26]) ).

cnf(c_0_76,negated_conjecture,
    ( epred1_2(esk4_0,X1)
    | apply(esk1_0,esk14_2(X1,esk4_0),esk5_2(esk14_2(X1,esk4_0),esk15_2(X1,esk4_0)))
    | apply(esk4_0,esk12_2(X1,esk4_0),esk13_2(X1,esk4_0))
    | member(esk11_2(X1,esk4_0),X1)
    | ~ member(esk14_2(X1,esk4_0),esk2_0)
    | ~ member(esk15_2(X1,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_17,c_0_12]) ).

cnf(c_0_77,negated_conjecture,
    ( esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)) = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | ~ maps(esk1_0,X1,esk3_0)
    | ~ member(esk15_2(esk2_0,esk4_0),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).

cnf(c_0_78,negated_conjecture,
    maps(esk1_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_79,negated_conjecture,
    ( epred1_2(esk4_0,X1)
    | apply(esk1_0,esk14_2(X1,esk4_0),esk5_2(esk14_2(X1,esk4_0),esk15_2(X1,esk4_0)))
    | member(esk11_2(X1,esk4_0),X1)
    | member(esk13_2(X1,esk4_0),X1)
    | ~ member(esk14_2(X1,esk4_0),esk2_0)
    | ~ member(esk15_2(X1,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_80,negated_conjecture,
    ( esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)) = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | ~ maps(esk1_0,X1,esk3_0)
    | ~ member(esk15_2(esk2_0,esk4_0),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).

cnf(c_0_81,negated_conjecture,
    ( epred1_2(esk4_0,X1)
    | apply(esk1_0,esk14_2(X1,esk4_0),esk5_2(esk14_2(X1,esk4_0),esk15_2(X1,esk4_0)))
    | member(esk11_2(X1,esk4_0),X1)
    | member(esk12_2(X1,esk4_0),X1)
    | ~ member(esk14_2(X1,esk4_0),esk2_0)
    | ~ member(esk15_2(X1,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_17,c_0_23]) ).

cnf(c_0_82,negated_conjecture,
    ( esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)) = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | ~ maps(esk1_0,X1,esk3_0)
    | ~ member(esk15_2(esk2_0,esk4_0),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).

cnf(c_0_83,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk14_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_30]),c_0_14]) ).

cnf(c_0_84,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_60]),c_0_14]),c_0_15]) ).

cnf(c_0_85,plain,
    ( esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)) = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_14]),c_0_78])]) ).

cnf(c_0_86,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk14_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_36]),c_0_20]) ).

cnf(c_0_87,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_63]),c_0_20]),c_0_21]) ).

cnf(c_0_88,plain,
    ( esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)) = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_20]),c_0_78])]) ).

cnf(c_0_89,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk14_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_41]),c_0_25]) ).

cnf(c_0_90,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_66]),c_0_25]),c_0_26]) ).

cnf(c_0_91,plain,
    ( esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)) = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_25]),c_0_78])]) ).

cnf(c_0_92,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | apply(esk4_0,esk14_2(esk2_0,esk4_0),X1)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,X1,esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | ~ member(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_83]),c_0_30]),c_0_59]) ).

cnf(c_0_93,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_94,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
    | ~ apply(X1,esk14_2(X2,X1),esk16_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_95,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk14_2(esk2_0,esk4_0),X1)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,X1,esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | ~ member(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_86]),c_0_36]),c_0_62]) ).

cnf(c_0_96,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_97,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | member(esk13_2(X2,X1),X2)
    | ~ apply(X1,esk14_2(X2,X1),esk16_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_98,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk14_2(esk2_0,esk4_0),X1)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,X1,esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | ~ member(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_89]),c_0_41]),c_0_65]) ).

cnf(c_0_99,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_100,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | member(esk12_2(X2,X1),X2)
    | ~ apply(X1,esk14_2(X2,X1),esk16_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_101,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_15]),c_0_94]) ).

cnf(c_0_102,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_21]),c_0_97]) ).

cnf(c_0_103,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_26]),c_0_100]) ).

cnf(c_0_104,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk13_2(esk2_0,esk4_0),esk5_2(esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0)))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_101]),c_0_102]),c_0_103]) ).

cnf(c_0_105,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk5_2(esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0)),esk3_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_101]),c_0_102]),c_0_103]) ).

cnf(c_0_106,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk13_2(esk2_0,esk4_0),X1)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,X1,esk5_2(esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0)))
    | ~ member(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_104]),c_0_102]),c_0_105]) ).

cnf(c_0_107,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk12_2(esk2_0,esk4_0),esk5_2(esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0)))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_101]),c_0_102]),c_0_103]) ).

cnf(c_0_108,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | apply(X1,esk15_2(X2,X1),esk16_2(X2,X1))
    | ~ apply(X1,esk13_2(X2,X1),esk12_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_109,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk13_2(esk2_0,esk4_0),esk12_2(esk2_0,esk4_0))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_103]) ).

cnf(c_0_110,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | member(esk16_2(X2,X1),X2)
    | ~ apply(X1,esk13_2(X2,X1),esk12_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_111,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | member(esk15_2(X2,X1),X2)
    | ~ apply(X1,esk13_2(X2,X1),esk12_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_112,plain,
    ( apply(X1,X4,esk6_4(X1,X2,X3,X4))
    | ~ maps(X1,X2,X3)
    | ~ member(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_113,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_114,plain,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | member(esk16_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_110,c_0_109]) ).

cnf(c_0_115,plain,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | member(esk15_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_109]) ).

cnf(c_0_116,negated_conjecture,
    ( apply(esk1_0,X1,esk6_4(esk1_0,esk2_0,esk3_0,X1))
    | ~ member(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_112,c_0_78]) ).

cnf(c_0_117,plain,
    ( member(esk6_4(X1,X2,X3,X4),X3)
    | ~ maps(X1,X2,X3)
    | ~ member(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_118,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_113]),c_0_114]),c_0_115]) ).

cnf(c_0_119,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)),esk3_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_113]),c_0_114]),c_0_115]) ).

cnf(c_0_120,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk6_4(esk1_0,esk2_0,esk3_0,esk15_2(esk2_0,esk4_0)))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_116,c_0_115]) ).

cnf(c_0_121,negated_conjecture,
    ( member(esk6_4(esk1_0,esk2_0,esk3_0,X1),esk3_0)
    | ~ member(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_117,c_0_78]) ).

cnf(c_0_122,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk16_2(esk2_0,esk4_0),X1)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,X1,esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)))
    | ~ member(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_118]),c_0_114]),c_0_119]) ).

cnf(c_0_123,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_113]),c_0_114]),c_0_115]) ).

cnf(c_0_124,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | apply(X1,esk14_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk13_2(X2,X1),esk12_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_125,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | member(esk14_2(X2,X1),X2)
    | ~ apply(X1,esk13_2(X2,X1),esk12_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_126,negated_conjecture,
    ( X1 = esk6_4(esk1_0,esk2_0,esk3_0,esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,esk15_2(esk2_0,esk4_0),X1)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(esk6_4(esk1_0,esk2_0,esk3_0,esk15_2(esk2_0,esk4_0)),X3)
    | ~ member(esk15_2(esk2_0,esk4_0),X2)
    | ~ member(X1,X3) ),
    inference(spm,[status(thm)],[c_0_45,c_0_120]) ).

cnf(c_0_127,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk6_4(esk1_0,esk2_0,esk3_0,esk15_2(esk2_0,esk4_0)),esk3_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_121,c_0_115]) ).

cnf(c_0_128,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_115]) ).

cnf(c_0_129,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_109]) ).

cnf(c_0_130,plain,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | member(esk14_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_125,c_0_109]) ).

cnf(c_0_131,negated_conjecture,
    ( X1 = esk6_4(esk1_0,esk2_0,esk3_0,esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,esk15_2(esk2_0,esk4_0),X1)
    | ~ maps(esk1_0,X2,esk3_0)
    | ~ member(esk15_2(esk2_0,esk4_0),X2)
    | ~ member(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_132,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_128]),c_0_115]),c_0_114]) ).

cnf(c_0_133,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),esk3_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_128]),c_0_115]),c_0_114]) ).

cnf(c_0_134,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_129]),c_0_115]),c_0_130]) ).

cnf(c_0_135,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),esk3_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_129]),c_0_115]),c_0_130]) ).

cnf(c_0_136,negated_conjecture,
    ( esk6_4(esk1_0,esk2_0,esk3_0,esk15_2(esk2_0,esk4_0)) = esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | ~ maps(esk1_0,X1,esk3_0)
    | ~ member(esk15_2(esk2_0,esk4_0),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133]) ).

cnf(c_0_137,negated_conjecture,
    ( esk6_4(esk1_0,esk2_0,esk3_0,esk15_2(esk2_0,esk4_0)) = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | ~ maps(esk1_0,X1,esk3_0)
    | ~ member(esk15_2(esk2_0,esk4_0),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_134]),c_0_135]) ).

cnf(c_0_138,plain,
    ( esk6_4(esk1_0,esk2_0,esk3_0,esk15_2(esk2_0,esk4_0)) = esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_115]),c_0_78])]) ).

cnf(c_0_139,plain,
    ( esk6_4(esk1_0,esk2_0,esk3_0,esk15_2(esk2_0,esk4_0)) = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_115]),c_0_78])]) ).

fof(c_0_140,axiom,
    ! [X1,X15] :
      ( equivalence(X15,X1)
    <=> epred1_2(X15,X1) ),
    inference(apply_def,[status(thm)],[equivalence,c_0_4]) ).

cnf(c_0_141,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk14_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_129]),c_0_115]),c_0_130]) ).

cnf(c_0_142,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_128]),c_0_115]),c_0_114]) ).

cnf(c_0_143,plain,
    ( esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)) = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_144,plain,
    ( epred1_2(X1,X2)
    | member(esk11_2(X2,X1),X2)
    | ~ apply(X1,esk13_2(X2,X1),esk12_2(X2,X1))
    | ~ apply(X1,esk14_2(X2,X1),esk16_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_145,plain,
    ! [X16,X17,X16,X17] :
      ( ( ~ equivalence(X17,X16)
        | epred1_2(X17,X16) )
      & ( ~ epred1_2(X17,X16)
        | equivalence(X17,X16) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_140])])])]) ).

cnf(c_0_146,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk14_2(esk2_0,esk4_0),X1)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,X1,esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | ~ member(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_141]),c_0_130]),c_0_135]) ).

cnf(c_0_147,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_148,plain,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk4_0,esk14_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_144,c_0_109]) ).

cnf(c_0_149,plain,
    ( equivalence(X1,X2)
    | ~ epred1_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_150,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk11_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_114]),c_0_148]) ).

cnf(c_0_151,negated_conjecture,
    ~ equivalence(esk4_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_152,negated_conjecture,
    member(esk11_2(esk2_0,esk4_0),esk2_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]) ).

cnf(c_0_153,negated_conjecture,
    apply(esk1_0,esk11_2(esk2_0,esk4_0),esk6_4(esk1_0,esk2_0,esk3_0,esk11_2(esk2_0,esk4_0))),
    inference(spm,[status(thm)],[c_0_116,c_0_152]) ).

cnf(c_0_154,negated_conjecture,
    member(esk6_4(esk1_0,esk2_0,esk3_0,esk11_2(esk2_0,esk4_0)),esk3_0),
    inference(spm,[status(thm)],[c_0_121,c_0_152]) ).

cnf(c_0_155,negated_conjecture,
    ( apply(esk4_0,esk11_2(esk2_0,esk4_0),X1)
    | ~ apply(esk1_0,X1,esk6_4(esk1_0,esk2_0,esk3_0,esk11_2(esk2_0,esk4_0)))
    | ~ member(X1,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_153]),c_0_154]),c_0_152])]) ).

cnf(c_0_156,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
    | apply(X1,esk15_2(X2,X1),esk16_2(X2,X1))
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_157,negated_conjecture,
    apply(esk4_0,esk11_2(esk2_0,esk4_0),esk11_2(esk2_0,esk4_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_153]),c_0_152])]) ).

cnf(c_0_158,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
    | member(esk16_2(X2,X1),X2)
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_159,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
    | member(esk15_2(X2,X1),X2)
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_160,plain,
    ( epred1_2(X1,X2)
    | member(esk13_2(X2,X1),X2)
    | apply(X1,esk15_2(X2,X1),esk16_2(X2,X1))
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_161,plain,
    ( epred1_2(X1,X2)
    | member(esk13_2(X2,X1),X2)
    | member(esk16_2(X2,X1),X2)
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_162,plain,
    ( epred1_2(X1,X2)
    | member(esk13_2(X2,X1),X2)
    | member(esk15_2(X2,X1),X2)
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_163,plain,
    ( epred1_2(X1,X2)
    | member(esk12_2(X2,X1),X2)
    | apply(X1,esk15_2(X2,X1),esk16_2(X2,X1))
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_164,plain,
    ( epred1_2(X1,X2)
    | member(esk12_2(X2,X1),X2)
    | member(esk16_2(X2,X1),X2)
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_165,plain,
    ( epred1_2(X1,X2)
    | member(esk12_2(X2,X1),X2)
    | member(esk15_2(X2,X1),X2)
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_166,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
    | apply(X1,esk14_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_167,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
    | member(esk14_2(X2,X1),X2)
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_168,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | apply(esk4_0,esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_156,c_0_157]) ).

cnf(c_0_169,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | member(esk16_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_158,c_0_157]) ).

cnf(c_0_170,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | member(esk15_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_159,c_0_157]) ).

cnf(c_0_171,plain,
    ( epred1_2(X1,X2)
    | member(esk13_2(X2,X1),X2)
    | apply(X1,esk14_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_172,plain,
    ( epred1_2(X1,X2)
    | member(esk13_2(X2,X1),X2)
    | member(esk14_2(X2,X1),X2)
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_173,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0))
    | member(esk13_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_160,c_0_157]) ).

cnf(c_0_174,plain,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | member(esk16_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_161,c_0_157]) ).

cnf(c_0_175,plain,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | member(esk15_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_162,c_0_157]) ).

cnf(c_0_176,plain,
    ( epred1_2(X1,X2)
    | member(esk12_2(X2,X1),X2)
    | apply(X1,esk14_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_177,plain,
    ( epred1_2(X1,X2)
    | member(esk12_2(X2,X1),X2)
    | member(esk14_2(X2,X1),X2)
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_178,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0))
    | member(esk12_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_163,c_0_157]) ).

cnf(c_0_179,plain,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | member(esk16_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_164,c_0_157]) ).

cnf(c_0_180,plain,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | member(esk15_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_165,c_0_157]) ).

cnf(c_0_181,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | apply(esk4_0,esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_166,c_0_157]) ).

cnf(c_0_182,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | member(esk14_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_167,c_0_157]) ).

cnf(c_0_183,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)))
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_168]),c_0_169]),c_0_170]) ).

cnf(c_0_184,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | member(esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)),esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_168]),c_0_169]),c_0_170]) ).

cnf(c_0_185,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | member(esk13_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_171,c_0_157]) ).

cnf(c_0_186,plain,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | member(esk14_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_172,c_0_157]) ).

cnf(c_0_187,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)))
    | member(esk13_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_173]),c_0_174]),c_0_175]) ).

cnf(c_0_188,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)),esk3_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_173]),c_0_174]),c_0_175]) ).

cnf(c_0_189,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | member(esk12_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_176,c_0_157]) ).

cnf(c_0_190,plain,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | member(esk14_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_177,c_0_157]) ).

cnf(c_0_191,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)))
    | member(esk12_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_178]),c_0_179]),c_0_180]) ).

cnf(c_0_192,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)),esk3_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_178]),c_0_179]),c_0_180]) ).

cnf(c_0_193,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_181]),c_0_170]),c_0_182]) ).

cnf(c_0_194,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | apply(esk4_0,esk16_2(esk2_0,esk4_0),X1)
    | ~ apply(esk1_0,X1,esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)))
    | ~ member(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_183]),c_0_169]),c_0_184]) ).

cnf(c_0_195,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)))
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_168]),c_0_169]),c_0_170]) ).

cnf(c_0_196,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk13_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_185]),c_0_175]),c_0_186]) ).

cnf(c_0_197,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk16_2(esk2_0,esk4_0),X1)
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,X1,esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)))
    | ~ member(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_187]),c_0_174]),c_0_188]) ).

cnf(c_0_198,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)))
    | member(esk13_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_173]),c_0_174]),c_0_175]) ).

cnf(c_0_199,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk12_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_189]),c_0_180]),c_0_190]) ).

cnf(c_0_200,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk16_2(esk2_0,esk4_0),X1)
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,X1,esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)))
    | ~ member(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_191]),c_0_179]),c_0_192]) ).

cnf(c_0_201,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)))
    | member(esk12_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_178]),c_0_179]),c_0_180]) ).

cnf(c_0_202,negated_conjecture,
    ( X1 = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | ~ apply(esk1_0,esk15_2(esk2_0,esk4_0),X1)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),X3)
    | ~ member(esk15_2(esk2_0,esk4_0),X2)
    | ~ member(X1,X3) ),
    inference(spm,[status(thm)],[c_0_45,c_0_193]) ).

cnf(c_0_203,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | member(esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_181]),c_0_170]),c_0_182]) ).

cnf(c_0_204,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_170]) ).

cnf(c_0_205,negated_conjecture,
    ( X1 = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,esk15_2(esk2_0,esk4_0),X1)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),X3)
    | ~ member(esk15_2(esk2_0,esk4_0),X2)
    | ~ member(X1,X3) ),
    inference(spm,[status(thm)],[c_0_45,c_0_196]) ).

cnf(c_0_206,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),esk3_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_185]),c_0_175]),c_0_186]) ).

cnf(c_0_207,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | member(esk13_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_175]) ).

cnf(c_0_208,negated_conjecture,
    ( X1 = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,esk15_2(esk2_0,esk4_0),X1)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),X3)
    | ~ member(esk15_2(esk2_0,esk4_0),X2)
    | ~ member(X1,X3) ),
    inference(spm,[status(thm)],[c_0_45,c_0_199]) ).

cnf(c_0_209,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),esk3_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_189]),c_0_180]),c_0_190]) ).

cnf(c_0_210,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | member(esk12_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_180]) ).

cnf(c_0_211,negated_conjecture,
    ( X1 = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | ~ apply(esk1_0,esk15_2(esk2_0,esk4_0),X1)
    | ~ maps(esk1_0,X2,esk3_0)
    | ~ member(esk15_2(esk2_0,esk4_0),X2)
    | ~ member(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_202,c_0_203]) ).

cnf(c_0_212,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_204]),c_0_170]),c_0_169]) ).

cnf(c_0_213,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | member(esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_204]),c_0_170]),c_0_169]) ).

cnf(c_0_214,negated_conjecture,
    ( X1 = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,esk15_2(esk2_0,esk4_0),X1)
    | ~ maps(esk1_0,X2,esk3_0)
    | ~ member(esk15_2(esk2_0,esk4_0),X2)
    | ~ member(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_205,c_0_206]) ).

cnf(c_0_215,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk13_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_207]),c_0_175]),c_0_174]) ).

cnf(c_0_216,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),esk3_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_207]),c_0_175]),c_0_174]) ).

cnf(c_0_217,negated_conjecture,
    ( X1 = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,esk15_2(esk2_0,esk4_0),X1)
    | ~ maps(esk1_0,X2,esk3_0)
    | ~ member(esk15_2(esk2_0,esk4_0),X2)
    | ~ member(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_208,c_0_209]) ).

cnf(c_0_218,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk12_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_210]),c_0_180]),c_0_179]) ).

cnf(c_0_219,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),esk3_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_210]),c_0_180]),c_0_179]) ).

cnf(c_0_220,negated_conjecture,
    ( esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)) = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | ~ maps(esk1_0,X1,esk3_0)
    | ~ member(esk15_2(esk2_0,esk4_0),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_213]) ).

cnf(c_0_221,negated_conjecture,
    ( esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)) = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | ~ maps(esk1_0,X1,esk3_0)
    | ~ member(esk15_2(esk2_0,esk4_0),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_216]) ).

cnf(c_0_222,negated_conjecture,
    ( esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)) = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | ~ maps(esk1_0,X1,esk3_0)
    | ~ member(esk15_2(esk2_0,esk4_0),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_219]) ).

cnf(c_0_223,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk14_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_181]),c_0_170]),c_0_182]) ).

cnf(c_0_224,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_204]),c_0_170]),c_0_169]) ).

cnf(c_0_225,plain,
    ( esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)) = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_170]),c_0_78])]) ).

cnf(c_0_226,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk12_2(X2,X1),esk13_2(X2,X1))
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1))
    | ~ apply(X1,esk14_2(X2,X1),esk16_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_227,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk14_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk13_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_185]),c_0_175]),c_0_186]) ).

cnf(c_0_228,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk13_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_207]),c_0_175]),c_0_174]) ).

cnf(c_0_229,plain,
    ( esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)) = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_175]),c_0_78])]) ).

cnf(c_0_230,plain,
    ( epred1_2(X1,X2)
    | member(esk13_2(X2,X1),X2)
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1))
    | ~ apply(X1,esk14_2(X2,X1),esk16_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_231,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk14_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk12_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_189]),c_0_180]),c_0_190]) ).

cnf(c_0_232,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk12_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_210]),c_0_180]),c_0_179]) ).

cnf(c_0_233,plain,
    ( esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)) = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_180]),c_0_78])]) ).

cnf(c_0_234,plain,
    ( epred1_2(X1,X2)
    | member(esk12_2(X2,X1),X2)
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1))
    | ~ apply(X1,esk14_2(X2,X1),esk16_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_235,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | apply(esk4_0,esk14_2(esk2_0,esk4_0),X1)
    | ~ apply(esk1_0,X1,esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | ~ member(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_223]),c_0_182]),c_0_203]) ).

cnf(c_0_236,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_224,c_0_225]) ).

cnf(c_0_237,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))
    | ~ apply(esk4_0,esk14_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_226,c_0_157]) ).

cnf(c_0_238,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk14_2(esk2_0,esk4_0),X1)
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,X1,esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | ~ member(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_227]),c_0_186]),c_0_206]) ).

cnf(c_0_239,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk13_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_240,plain,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk4_0,esk14_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_230,c_0_157]) ).

cnf(c_0_241,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk14_2(esk2_0,esk4_0),X1)
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk1_0,X1,esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | ~ member(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_231]),c_0_190]),c_0_209]) ).

cnf(c_0_242,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | member(esk12_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_232,c_0_233]) ).

cnf(c_0_243,plain,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk4_0,esk14_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_234,c_0_157]) ).

cnf(c_0_244,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_169]),c_0_237]) ).

cnf(c_0_245,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk13_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_174]),c_0_240]) ).

cnf(c_0_246,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk12_2(esk2_0,esk4_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_179]),c_0_243]) ).

cnf(c_0_247,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk13_2(esk2_0,esk4_0),esk5_2(esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_244]),c_0_245]),c_0_246]) ).

cnf(c_0_248,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk5_2(esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0)),esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_244]),c_0_245]),c_0_246]) ).

cnf(c_0_249,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk15_2(X2,X1),esk16_2(X2,X1))
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1))
    | ~ apply(X1,esk13_2(X2,X1),esk12_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_250,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk13_2(esk2_0,esk4_0),X1)
    | ~ apply(esk1_0,X1,esk5_2(esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0)))
    | ~ member(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_247]),c_0_245]),c_0_248]) ).

cnf(c_0_251,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk12_2(esk2_0,esk4_0),esk5_2(esk12_2(esk2_0,esk4_0),esk13_2(esk2_0,esk4_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_244]),c_0_245]),c_0_246]) ).

cnf(c_0_252,plain,
    ( epred1_2(X1,X2)
    | member(esk16_2(X2,X1),X2)
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1))
    | ~ apply(X1,esk13_2(X2,X1),esk12_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_253,plain,
    ( epred1_2(X1,X2)
    | member(esk15_2(X2,X1),X2)
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1))
    | ~ apply(X1,esk13_2(X2,X1),esk12_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_254,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk14_2(X2,X1),esk15_2(X2,X1))
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1))
    | ~ apply(X1,esk13_2(X2,X1),esk12_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_255,plain,
    ( epred1_2(X1,X2)
    | member(esk14_2(X2,X1),X2)
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1))
    | ~ apply(X1,esk13_2(X2,X1),esk12_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_256,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0))
    | ~ apply(esk4_0,esk13_2(esk2_0,esk4_0),esk12_2(esk2_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_249,c_0_157]) ).

cnf(c_0_257,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk13_2(esk2_0,esk4_0),esk12_2(esk2_0,esk4_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_246]) ).

cnf(c_0_258,plain,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk16_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk4_0,esk13_2(esk2_0,esk4_0),esk12_2(esk2_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_252,c_0_157]) ).

cnf(c_0_259,plain,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk15_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk4_0,esk13_2(esk2_0,esk4_0),esk12_2(esk2_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_253,c_0_157]) ).

cnf(c_0_260,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | ~ apply(esk4_0,esk13_2(esk2_0,esk4_0),esk12_2(esk2_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_254,c_0_157]) ).

cnf(c_0_261,plain,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk14_2(esk2_0,esk4_0),esk2_0)
    | ~ apply(esk4_0,esk13_2(esk2_0,esk4_0),esk12_2(esk2_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_255,c_0_157]) ).

cnf(c_0_262,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_256,c_0_257]) ).

cnf(c_0_263,plain,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk16_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_258,c_0_257]) ).

cnf(c_0_264,plain,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk15_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_259,c_0_257]) ).

cnf(c_0_265,plain,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_260,c_0_257]) ).

cnf(c_0_266,plain,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk14_2(esk2_0,esk4_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_261,c_0_257]) ).

cnf(c_0_267,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_262]),c_0_263]),c_0_264]) ).

cnf(c_0_268,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)),esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_262]),c_0_263]),c_0_264]) ).

cnf(c_0_269,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_265]),c_0_264]),c_0_266]) ).

cnf(c_0_270,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk16_2(esk2_0,esk4_0),X1)
    | ~ apply(esk1_0,X1,esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)))
    | ~ member(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_267]),c_0_263]),c_0_268]) ).

cnf(c_0_271,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk15_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_262]),c_0_263]),c_0_264]) ).

cnf(c_0_272,negated_conjecture,
    ( X1 = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | ~ apply(esk1_0,esk15_2(esk2_0,esk4_0),X1)
    | ~ maps(esk1_0,X2,X3)
    | ~ member(esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),X3)
    | ~ member(esk15_2(esk2_0,esk4_0),X2)
    | ~ member(X1,X3) ),
    inference(spm,[status(thm)],[c_0_45,c_0_269]) ).

cnf(c_0_273,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_265]),c_0_264]),c_0_266]) ).

cnf(c_0_274,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_264]) ).

cnf(c_0_275,negated_conjecture,
    ( X1 = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | ~ apply(esk1_0,esk15_2(esk2_0,esk4_0),X1)
    | ~ maps(esk1_0,X2,esk3_0)
    | ~ member(esk15_2(esk2_0,esk4_0),X2)
    | ~ member(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_272,c_0_273]) ).

cnf(c_0_276,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk15_2(esk2_0,esk4_0),esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_274]),c_0_264]),c_0_263]) ).

cnf(c_0_277,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | member(esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)),esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_274]),c_0_264]),c_0_263]) ).

cnf(c_0_278,negated_conjecture,
    ( esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)) = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0)
    | ~ maps(esk1_0,X1,esk3_0)
    | ~ member(esk15_2(esk2_0,esk4_0),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_277]) ).

cnf(c_0_279,plain,
    ( epred1_2(X1,X2)
    | ~ apply(X1,esk11_2(X2,X1),esk11_2(X2,X1))
    | ~ apply(X1,esk13_2(X2,X1),esk12_2(X2,X1))
    | ~ apply(X1,esk14_2(X2,X1),esk16_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_280,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk14_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_265]),c_0_264]),c_0_266]) ).

cnf(c_0_281,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_274]),c_0_264]),c_0_263]) ).

cnf(c_0_282,plain,
    ( esk5_2(esk16_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)) = esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))
    | epred1_2(esk4_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_264]),c_0_78])]) ).

cnf(c_0_283,plain,
    ( epred1_2(esk4_0,esk2_0)
    | ~ apply(esk4_0,esk13_2(esk2_0,esk4_0),esk12_2(esk2_0,esk4_0))
    | ~ apply(esk4_0,esk14_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_279,c_0_157]) ).

cnf(c_0_284,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk4_0,esk14_2(esk2_0,esk4_0),X1)
    | ~ apply(esk1_0,X1,esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0)))
    | ~ member(X1,esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_280]),c_0_266]),c_0_273]) ).

cnf(c_0_285,negated_conjecture,
    ( epred1_2(esk4_0,esk2_0)
    | apply(esk1_0,esk16_2(esk2_0,esk4_0),esk5_2(esk14_2(esk2_0,esk4_0),esk15_2(esk2_0,esk4_0))) ),
    inference(spm,[status(thm)],[c_0_281,c_0_282]) ).

cnf(c_0_286,plain,
    ( epred1_2(esk4_0,esk2_0)
    | ~ apply(esk4_0,esk14_2(esk2_0,esk4_0),esk16_2(esk2_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_283,c_0_257]) ).

cnf(c_0_287,negated_conjecture,
    epred1_2(esk4_0,esk2_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_263]),c_0_286]) ).

cnf(c_0_288,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_287]),c_0_151]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET771+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.07/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 06:25:46 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.21/1.41  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.21/1.41  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.21/1.41  # Preprocessing time       : 0.017 s
% 0.21/1.41  
% 0.21/1.41  # Proof found!
% 0.21/1.41  # SZS status Theorem
% 0.21/1.41  # SZS output start CNFRefutation
% See solution above
% 0.21/1.41  # Proof object total steps             : 289
% 0.21/1.41  # Proof object clause steps            : 279
% 0.21/1.41  # Proof object formula steps           : 10
% 0.21/1.41  # Proof object conjectures             : 157
% 0.21/1.41  # Proof object clause conjectures      : 154
% 0.21/1.41  # Proof object formula conjectures     : 3
% 0.21/1.41  # Proof object initial clauses used    : 58
% 0.21/1.41  # Proof object initial formulas used   : 3
% 0.21/1.41  # Proof object generating inferences   : 221
% 0.21/1.41  # Proof object simplifying inferences  : 234
% 0.21/1.41  # Training examples: 0 positive, 0 negative
% 0.21/1.41  # Parsed axioms                        : 34
% 0.21/1.41  # Removed by relevancy pruning/SinE    : 31
% 0.21/1.41  # Initial clauses                      : 74
% 0.21/1.41  # Removed in clause preprocessing      : 0
% 0.21/1.41  # Initial clauses in saturation        : 74
% 0.21/1.41  # Processed clauses                    : 5354
% 0.21/1.41  # ...of these trivial                  : 5
% 0.21/1.41  # ...subsumed                          : 3339
% 0.21/1.41  # ...remaining for further processing  : 2010
% 0.21/1.41  # Other redundant clauses eliminated   : 0
% 0.21/1.41  # Clauses deleted for lack of memory   : 0
% 0.21/1.41  # Backward-subsumed                    : 1083
% 0.21/1.41  # Backward-rewritten                   : 220
% 0.21/1.41  # Generated clauses                    : 9390
% 0.21/1.41  # ...of the previous two non-trivial   : 7350
% 0.21/1.41  # Contextual simplify-reflections      : 4942
% 0.21/1.41  # Paramodulations                      : 9390
% 0.21/1.41  # Factorizations                       : 0
% 0.21/1.41  # Equation resolutions                 : 0
% 0.21/1.41  # Current number of processed clauses  : 707
% 0.21/1.41  #    Positive orientable unit clauses  : 7
% 0.21/1.41  #    Positive unorientable unit clauses: 0
% 0.21/1.41  #    Negative unit clauses             : 1
% 0.21/1.41  #    Non-unit-clauses                  : 699
% 0.21/1.41  # Current number of unprocessed clauses: 155
% 0.21/1.41  # ...number of literals in the above   : 1255
% 0.21/1.41  # Current number of archived formulas  : 0
% 0.21/1.41  # Current number of archived clauses   : 1303
% 0.21/1.41  # Clause-clause subsumption calls (NU) : 2442245
% 0.21/1.41  # Rec. Clause-clause subsumption calls : 19281
% 0.21/1.41  # Non-unit clause-clause subsumptions  : 9364
% 0.21/1.41  # Unit Clause-clause subsumption calls : 1852
% 0.21/1.41  # Rewrite failures with RHS unbound    : 0
% 0.21/1.41  # BW rewrite match attempts            : 31
% 0.21/1.41  # BW rewrite match successes           : 3
% 0.21/1.41  # Condensation attempts                : 0
% 0.21/1.41  # Condensation successes               : 0
% 0.21/1.41  # Termbank termtop insertions          : 454885
% 0.21/1.41  
% 0.21/1.41  # -------------------------------------------------
% 0.21/1.41  # User time                : 0.631 s
% 0.21/1.41  # System time              : 0.005 s
% 0.21/1.41  # Total time               : 0.636 s
% 0.21/1.41  # Maximum resident set size: 6868 pages
% 0.21/23.40  eprover: CPU time limit exceeded, terminating
% 0.21/23.41  eprover: CPU time limit exceeded, terminating
% 0.21/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.41  eprover: No such file or directory
% 0.21/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.42  eprover: No such file or directory
% 0.21/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.42  eprover: No such file or directory
% 0.21/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.43  eprover: No such file or directory
% 0.21/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43  eprover: No such file or directory
% 0.21/23.43  eprover: CPU time limit exceeded, terminating
% 0.21/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.43  eprover: No such file or directory
% 0.21/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.47  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.47  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.47  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.47  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.47  eprover: No such file or directory
% 0.21/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.48  eprover: No such file or directory
% 0.21/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.48  eprover: No such file or directory
% 0.21/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.49  eprover: No such file or directory
% 0.21/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------