TSTP Solution File: SET748+4 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SET748+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 00:53:43 EDT 2022

% Result   : Theorem 1.41s 164.60s
% Output   : CNFRefutation 1.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    5
% Syntax   : Number of formulae    :  105 (   6 unt;   0 def)
%            Number of atoms       :  515 (  27 equ)
%            Maximal formula atoms :   55 (   4 avg)
%            Number of connectives :  645 ( 235   ~; 335   |;  63   &)
%                                         (   4 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-5 aty)
%            Number of functors    :   23 (  23 usr;   8 con; 0-7 aty)
%            Number of variables   :  547 (  13 sgn  95   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thII39,conjecture,
    ! [X6,X10,X1,X2,X11,X15,X16,X17] :
      ( ( maps(X6,X1,X2)
        & maps(X10,X2,X11)
        & decreasing(X6,X1,X15,X2,X16)
        & increasing(X10,X2,X16,X11,X17) )
     => decreasing(compose_function(X10,X6,X1,X2,X11),X1,X15,X11,X17) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',thII39) ).

fof(decreasing_function,axiom,
    ! [X6,X1,X15,X2,X16] :
      ( decreasing(X6,X1,X15,X2,X16)
    <=> ! [X13,X7,X14,X8] :
          ( ( member(X13,X1)
            & member(X7,X2)
            & member(X14,X1)
            & member(X8,X2)
            & apply(X15,X13,X14)
            & apply(X6,X13,X7)
            & apply(X6,X14,X8) )
         => apply(X16,X8,X7) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',decreasing_function) ).

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/sandbox2/benchmark/Axioms/SET006+1.ax',maps) ).

fof(compose_function,axiom,
    ! [X10,X6,X1,X2,X11,X3,X12] :
      ( ( member(X3,X1)
        & member(X12,X11) )
     => ( apply(compose_function(X10,X6,X1,X2,X11),X3,X12)
      <=> ? [X5] :
            ( member(X5,X2)
            & apply(X6,X3,X5)
            & apply(X10,X5,X12) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',compose_function) ).

fof(increasing_function,axiom,
    ! [X6,X1,X15,X2,X16] :
      ( increasing(X6,X1,X15,X2,X16)
    <=> ! [X13,X7,X14,X8] :
          ( ( member(X13,X1)
            & member(X7,X2)
            & member(X14,X1)
            & member(X8,X2)
            & apply(X15,X13,X14)
            & apply(X6,X13,X7)
            & apply(X6,X14,X8) )
         => apply(X16,X7,X8) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',increasing_function) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X6,X10,X1,X2,X11,X15,X16,X17] :
        ( ( maps(X6,X1,X2)
          & maps(X10,X2,X11)
          & decreasing(X6,X1,X15,X2,X16)
          & increasing(X10,X2,X16,X11,X17) )
       => decreasing(compose_function(X10,X6,X1,X2,X11),X1,X15,X11,X17) ),
    inference(assume_negation,[status(cth)],[thII39]) ).

fof(c_0_6,plain,
    ! [X17,X18,X19,X20,X21,X22,X23,X24,X25,X17,X18,X19,X20,X21] :
      ( ( ~ decreasing(X17,X18,X19,X20,X21)
        | ~ member(X22,X18)
        | ~ member(X23,X20)
        | ~ member(X24,X18)
        | ~ member(X25,X20)
        | ~ apply(X19,X22,X24)
        | ~ apply(X17,X22,X23)
        | ~ apply(X17,X24,X25)
        | apply(X21,X25,X23) )
      & ( member(esk9_5(X17,X18,X19,X20,X21),X18)
        | decreasing(X17,X18,X19,X20,X21) )
      & ( member(esk10_5(X17,X18,X19,X20,X21),X20)
        | decreasing(X17,X18,X19,X20,X21) )
      & ( member(esk11_5(X17,X18,X19,X20,X21),X18)
        | decreasing(X17,X18,X19,X20,X21) )
      & ( member(esk12_5(X17,X18,X19,X20,X21),X20)
        | decreasing(X17,X18,X19,X20,X21) )
      & ( apply(X19,esk9_5(X17,X18,X19,X20,X21),esk11_5(X17,X18,X19,X20,X21))
        | decreasing(X17,X18,X19,X20,X21) )
      & ( apply(X17,esk9_5(X17,X18,X19,X20,X21),esk10_5(X17,X18,X19,X20,X21))
        | decreasing(X17,X18,X19,X20,X21) )
      & ( apply(X17,esk11_5(X17,X18,X19,X20,X21),esk12_5(X17,X18,X19,X20,X21))
        | decreasing(X17,X18,X19,X20,X21) )
      & ( ~ apply(X21,esk12_5(X17,X18,X19,X20,X21),esk10_5(X17,X18,X19,X20,X21))
        | decreasing(X17,X18,X19,X20,X21) ) ),
    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)],[decreasing_function])])])])])])]) ).

fof(c_0_7,negated_conjecture,
    ( maps(esk1_0,esk3_0,esk4_0)
    & maps(esk2_0,esk4_0,esk5_0)
    & decreasing(esk1_0,esk3_0,esk6_0,esk4_0,esk7_0)
    & increasing(esk2_0,esk4_0,esk7_0,esk5_0,esk8_0)
    & ~ decreasing(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).

fof(c_0_8,plain,
    ! [X9,X10,X11,X12,X14,X15,X16,X9,X10,X11,X18] :
      ( ( member(esk18_4(X9,X10,X11,X12),X11)
        | ~ member(X12,X10)
        | ~ maps(X9,X10,X11) )
      & ( apply(X9,X12,esk18_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(esk20_3(X9,X10,X11),X10)
        | member(esk19_3(X9,X10,X11),X10)
        | maps(X9,X10,X11) )
      & ( member(esk21_3(X9,X10,X11),X11)
        | member(esk19_3(X9,X10,X11),X10)
        | maps(X9,X10,X11) )
      & ( member(esk22_3(X9,X10,X11),X11)
        | member(esk19_3(X9,X10,X11),X10)
        | maps(X9,X10,X11) )
      & ( apply(X9,esk20_3(X9,X10,X11),esk21_3(X9,X10,X11))
        | member(esk19_3(X9,X10,X11),X10)
        | maps(X9,X10,X11) )
      & ( apply(X9,esk20_3(X9,X10,X11),esk22_3(X9,X10,X11))
        | member(esk19_3(X9,X10,X11),X10)
        | maps(X9,X10,X11) )
      & ( esk21_3(X9,X10,X11) != esk22_3(X9,X10,X11)
        | member(esk19_3(X9,X10,X11),X10)
        | maps(X9,X10,X11) )
      & ( member(esk20_3(X9,X10,X11),X10)
        | ~ member(X18,X11)
        | ~ apply(X9,esk19_3(X9,X10,X11),X18)
        | maps(X9,X10,X11) )
      & ( member(esk21_3(X9,X10,X11),X11)
        | ~ member(X18,X11)
        | ~ apply(X9,esk19_3(X9,X10,X11),X18)
        | maps(X9,X10,X11) )
      & ( member(esk22_3(X9,X10,X11),X11)
        | ~ member(X18,X11)
        | ~ apply(X9,esk19_3(X9,X10,X11),X18)
        | maps(X9,X10,X11) )
      & ( apply(X9,esk20_3(X9,X10,X11),esk21_3(X9,X10,X11))
        | ~ member(X18,X11)
        | ~ apply(X9,esk19_3(X9,X10,X11),X18)
        | maps(X9,X10,X11) )
      & ( apply(X9,esk20_3(X9,X10,X11),esk22_3(X9,X10,X11))
        | ~ member(X18,X11)
        | ~ apply(X9,esk19_3(X9,X10,X11),X18)
        | maps(X9,X10,X11) )
      & ( esk21_3(X9,X10,X11) != esk22_3(X9,X10,X11)
        | ~ member(X18,X11)
        | ~ apply(X9,esk19_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_9,plain,
    ( apply(X1,X2,X3)
    | ~ apply(X4,X5,X2)
    | ~ apply(X4,X6,X3)
    | ~ apply(X7,X6,X5)
    | ~ member(X2,X8)
    | ~ member(X5,X9)
    | ~ member(X3,X8)
    | ~ member(X6,X9)
    | ~ decreasing(X4,X9,X7,X8,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    decreasing(esk1_0,esk3_0,esk6_0,esk4_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( apply(X1,X4,esk18_4(X1,X2,X3,X4))
    | ~ maps(X1,X2,X3)
    | ~ member(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    maps(esk1_0,esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_13,negated_conjecture,
    ( apply(esk7_0,X1,X2)
    | ~ apply(esk6_0,X3,X4)
    | ~ apply(esk1_0,X3,X2)
    | ~ apply(esk1_0,X4,X1)
    | ~ member(X3,esk3_0)
    | ~ member(X4,esk3_0)
    | ~ member(X2,esk4_0)
    | ~ member(X1,esk4_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,plain,
    ( decreasing(X1,X2,X3,X4,X5)
    | apply(X3,esk9_5(X1,X2,X3,X4,X5),esk11_5(X1,X2,X3,X4,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_15,negated_conjecture,
    ( apply(esk1_0,X1,esk18_4(esk1_0,esk3_0,esk4_0,X1))
    | ~ member(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,plain,
    ( decreasing(X1,X2,X3,X4,X5)
    | member(esk9_5(X1,X2,X3,X4,X5),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_17,plain,
    ( member(esk18_4(X1,X2,X3,X4),X3)
    | ~ maps(X1,X2,X3)
    | ~ member(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_18,negated_conjecture,
    ( decreasing(X1,X2,esk6_0,X3,X4)
    | apply(esk7_0,X5,X6)
    | ~ apply(esk1_0,esk9_5(X1,X2,esk6_0,X3,X4),X6)
    | ~ apply(esk1_0,esk11_5(X1,X2,esk6_0,X3,X4),X5)
    | ~ member(esk9_5(X1,X2,esk6_0,X3,X4),esk3_0)
    | ~ member(esk11_5(X1,X2,esk6_0,X3,X4),esk3_0)
    | ~ member(X6,esk4_0)
    | ~ member(X5,esk4_0) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    ( decreasing(X1,esk3_0,X2,X3,X4)
    | apply(esk1_0,esk9_5(X1,esk3_0,X2,X3,X4),esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,X2,X3,X4))) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    ( member(esk18_4(esk1_0,esk3_0,esk4_0,X1),esk4_0)
    | ~ member(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_17,c_0_12]) ).

cnf(c_0_21,negated_conjecture,
    ( decreasing(X1,esk3_0,esk6_0,X2,X3)
    | apply(esk7_0,X4,esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,esk6_0,X2,X3)))
    | ~ apply(esk1_0,esk11_5(X1,esk3_0,esk6_0,X2,X3),X4)
    | ~ member(esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,esk6_0,X2,X3)),esk4_0)
    | ~ member(esk9_5(X1,esk3_0,esk6_0,X2,X3),esk3_0)
    | ~ member(esk11_5(X1,esk3_0,esk6_0,X2,X3),esk3_0)
    | ~ member(X4,esk4_0) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_22,negated_conjecture,
    ( decreasing(X1,esk3_0,X2,X3,X4)
    | member(esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,X2,X3,X4)),esk4_0) ),
    inference(spm,[status(thm)],[c_0_20,c_0_16]) ).

cnf(c_0_23,plain,
    ( decreasing(X1,X2,X3,X4,X5)
    | member(esk11_5(X1,X2,X3,X4,X5),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_24,negated_conjecture,
    ( decreasing(X1,esk3_0,esk6_0,X2,X3)
    | apply(esk7_0,X4,esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,esk6_0,X2,X3)))
    | ~ apply(esk1_0,esk11_5(X1,esk3_0,esk6_0,X2,X3),X4)
    | ~ member(esk9_5(X1,esk3_0,esk6_0,X2,X3),esk3_0)
    | ~ member(esk11_5(X1,esk3_0,esk6_0,X2,X3),esk3_0)
    | ~ member(X4,esk4_0) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_25,negated_conjecture,
    ( decreasing(X1,esk3_0,X2,X3,X4)
    | apply(esk1_0,esk11_5(X1,esk3_0,X2,X3,X4),esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,X2,X3,X4))) ),
    inference(spm,[status(thm)],[c_0_15,c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    ( decreasing(X1,esk3_0,esk6_0,X2,X3)
    | apply(esk7_0,esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,esk6_0,X2,X3)),esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,esk6_0,X2,X3)))
    | ~ member(esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,esk6_0,X2,X3)),esk4_0)
    | ~ member(esk9_5(X1,esk3_0,esk6_0,X2,X3),esk3_0)
    | ~ member(esk11_5(X1,esk3_0,esk6_0,X2,X3),esk3_0) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_27,negated_conjecture,
    ( decreasing(X1,esk3_0,X2,X3,X4)
    | member(esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,X2,X3,X4)),esk4_0) ),
    inference(spm,[status(thm)],[c_0_20,c_0_23]) ).

fof(c_0_28,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X21] :
      ( ( member(esk13_7(X13,X14,X15,X16,X17,X18,X19),X16)
        | ~ apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
        | ~ member(X18,X15)
        | ~ member(X19,X17) )
      & ( apply(X14,X18,esk13_7(X13,X14,X15,X16,X17,X18,X19))
        | ~ apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
        | ~ member(X18,X15)
        | ~ member(X19,X17) )
      & ( apply(X13,esk13_7(X13,X14,X15,X16,X17,X18,X19),X19)
        | ~ apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
        | ~ member(X18,X15)
        | ~ member(X19,X17) )
      & ( ~ member(X21,X16)
        | ~ apply(X14,X18,X21)
        | ~ apply(X13,X21,X19)
        | apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
        | ~ member(X18,X15)
        | ~ member(X19,X17) ) ),
    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)],[compose_function])])])])])])]) ).

fof(c_0_29,plain,
    ! [X17,X18,X19,X20,X21,X22,X23,X24,X25,X17,X18,X19,X20,X21] :
      ( ( ~ increasing(X17,X18,X19,X20,X21)
        | ~ member(X22,X18)
        | ~ member(X23,X20)
        | ~ member(X24,X18)
        | ~ member(X25,X20)
        | ~ apply(X19,X22,X24)
        | ~ apply(X17,X22,X23)
        | ~ apply(X17,X24,X25)
        | apply(X21,X23,X25) )
      & ( member(esk14_5(X17,X18,X19,X20,X21),X18)
        | increasing(X17,X18,X19,X20,X21) )
      & ( member(esk15_5(X17,X18,X19,X20,X21),X20)
        | increasing(X17,X18,X19,X20,X21) )
      & ( member(esk16_5(X17,X18,X19,X20,X21),X18)
        | increasing(X17,X18,X19,X20,X21) )
      & ( member(esk17_5(X17,X18,X19,X20,X21),X20)
        | increasing(X17,X18,X19,X20,X21) )
      & ( apply(X19,esk14_5(X17,X18,X19,X20,X21),esk16_5(X17,X18,X19,X20,X21))
        | increasing(X17,X18,X19,X20,X21) )
      & ( apply(X17,esk14_5(X17,X18,X19,X20,X21),esk15_5(X17,X18,X19,X20,X21))
        | increasing(X17,X18,X19,X20,X21) )
      & ( apply(X17,esk16_5(X17,X18,X19,X20,X21),esk17_5(X17,X18,X19,X20,X21))
        | increasing(X17,X18,X19,X20,X21) )
      & ( ~ apply(X21,esk15_5(X17,X18,X19,X20,X21),esk17_5(X17,X18,X19,X20,X21))
        | increasing(X17,X18,X19,X20,X21) ) ),
    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)],[increasing_function])])])])])])]) ).

cnf(c_0_30,negated_conjecture,
    ( decreasing(X1,esk3_0,esk6_0,X2,X3)
    | apply(esk7_0,esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,esk6_0,X2,X3)),esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,esk6_0,X2,X3)))
    | ~ member(esk9_5(X1,esk3_0,esk6_0,X2,X3),esk3_0)
    | ~ member(esk11_5(X1,esk3_0,esk6_0,X2,X3),esk3_0) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_31,plain,
    ( apply(X6,X3,esk13_7(X5,X6,X4,X7,X2,X3,X1))
    | ~ member(X1,X2)
    | ~ member(X3,X4)
    | ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_32,plain,
    ( decreasing(X1,X2,X3,X4,X5)
    | apply(X1,esk9_5(X1,X2,X3,X4,X5),esk10_5(X1,X2,X3,X4,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_33,plain,
    ( apply(X1,X2,X3)
    | ~ apply(X4,X5,X3)
    | ~ apply(X4,X6,X2)
    | ~ apply(X7,X6,X5)
    | ~ member(X3,X8)
    | ~ member(X5,X9)
    | ~ member(X2,X8)
    | ~ member(X6,X9)
    | ~ increasing(X4,X9,X7,X8,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_34,negated_conjecture,
    increasing(esk2_0,esk4_0,esk7_0,esk5_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_35,negated_conjecture,
    ( decreasing(X1,esk3_0,esk6_0,X2,X3)
    | apply(esk7_0,esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,esk6_0,X2,X3)),esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,esk6_0,X2,X3)))
    | ~ member(esk11_5(X1,esk3_0,esk6_0,X2,X3),esk3_0) ),
    inference(spm,[status(thm)],[c_0_30,c_0_16]) ).

cnf(c_0_36,negated_conjecture,
    maps(esk2_0,esk4_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_37,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_8]) ).

cnf(c_0_38,plain,
    ( decreasing(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9)
    | apply(X2,esk9_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9),esk13_7(X1,X2,X3,X4,X5,esk9_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9),esk10_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9)))
    | ~ member(esk9_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9),X3)
    | ~ member(esk10_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9),X5) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_39,plain,
    ( member(esk13_7(X5,X6,X4,X7,X2,X3,X1),X7)
    | ~ member(X1,X2)
    | ~ member(X3,X4)
    | ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_40,negated_conjecture,
    ( apply(esk8_0,X1,X2)
    | ~ apply(esk7_0,X3,X4)
    | ~ apply(esk2_0,X3,X1)
    | ~ apply(esk2_0,X4,X2)
    | ~ member(X3,esk4_0)
    | ~ member(X4,esk4_0)
    | ~ member(X2,esk5_0)
    | ~ member(X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_41,negated_conjecture,
    ( decreasing(X1,esk3_0,esk6_0,X2,X3)
    | apply(esk7_0,esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,esk6_0,X2,X3)),esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,esk6_0,X2,X3))) ),
    inference(spm,[status(thm)],[c_0_35,c_0_23]) ).

cnf(c_0_42,negated_conjecture,
    ( apply(esk2_0,X1,esk18_4(esk2_0,esk4_0,esk5_0,X1))
    | ~ member(X1,esk4_0) ),
    inference(spm,[status(thm)],[c_0_11,c_0_36]) ).

cnf(c_0_43,negated_conjecture,
    ( X1 = esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X2,esk3_0,X3,X4,X5))
    | decreasing(X2,esk3_0,X3,X4,X5)
    | ~ apply(esk1_0,esk9_5(X2,esk3_0,X3,X4,X5),X1)
    | ~ maps(esk1_0,X6,X7)
    | ~ member(esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X2,esk3_0,X3,X4,X5)),X7)
    | ~ member(esk9_5(X2,esk3_0,X3,X4,X5),X6)
    | ~ member(X1,X7) ),
    inference(spm,[status(thm)],[c_0_37,c_0_19]) ).

cnf(c_0_44,plain,
    ( decreasing(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8)
    | apply(X2,esk9_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8),esk13_7(X1,X2,X3,X4,X5,esk9_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8),esk10_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8)))
    | ~ member(esk10_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8),X5) ),
    inference(spm,[status(thm)],[c_0_38,c_0_16]) ).

cnf(c_0_45,plain,
    ( decreasing(X1,X2,X3,X4,X5)
    | member(esk10_5(X1,X2,X3,X4,X5),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_46,plain,
    ( decreasing(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9)
    | member(esk13_7(X1,X2,X3,X4,X5,esk9_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9),esk10_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9)),X4)
    | ~ member(esk9_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9),X3)
    | ~ member(esk10_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9),X5) ),
    inference(spm,[status(thm)],[c_0_39,c_0_32]) ).

cnf(c_0_47,plain,
    ( decreasing(X1,X2,X3,X4,X5)
    | apply(X1,esk11_5(X1,X2,X3,X4,X5),esk12_5(X1,X2,X3,X4,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_48,negated_conjecture,
    ( decreasing(X1,esk3_0,esk6_0,X2,X3)
    | apply(esk8_0,X4,X5)
    | ~ apply(esk2_0,esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,esk6_0,X2,X3)),X4)
    | ~ apply(esk2_0,esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,esk6_0,X2,X3)),X5)
    | ~ member(esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,esk6_0,X2,X3)),esk4_0)
    | ~ member(esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,esk6_0,X2,X3)),esk4_0)
    | ~ member(X5,esk5_0)
    | ~ member(X4,esk5_0) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_49,negated_conjecture,
    ( decreasing(X1,esk3_0,X2,X3,X4)
    | apply(esk2_0,esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,X2,X3,X4)),esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,X2,X3,X4)))) ),
    inference(spm,[status(thm)],[c_0_42,c_0_27]) ).

cnf(c_0_50,negated_conjecture,
    ( member(esk18_4(esk2_0,esk4_0,esk5_0,X1),esk5_0)
    | ~ member(X1,esk4_0) ),
    inference(spm,[status(thm)],[c_0_17,c_0_36]) ).

cnf(c_0_51,negated_conjecture,
    ( X1 = esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X2,esk3_0,X3,X4,X5))
    | decreasing(X2,esk3_0,X3,X4,X5)
    | ~ apply(esk1_0,esk9_5(X2,esk3_0,X3,X4,X5),X1)
    | ~ maps(esk1_0,X6,esk4_0)
    | ~ member(esk9_5(X2,esk3_0,X3,X4,X5),X6)
    | ~ member(X1,esk4_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_22]) ).

cnf(c_0_52,plain,
    ( decreasing(compose_function(X1,X2,X3,X4,X5),X3,X6,X5,X7)
    | apply(X2,esk9_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X5,X7),esk13_7(X1,X2,X3,X4,X5,esk9_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X5,X7),esk10_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X5,X7))) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_53,plain,
    ( decreasing(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8)
    | member(esk13_7(X1,X2,X3,X4,X5,esk9_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8),esk10_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8)),X4)
    | ~ member(esk10_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8),X5) ),
    inference(spm,[status(thm)],[c_0_46,c_0_16]) ).

cnf(c_0_54,plain,
    ( decreasing(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9)
    | apply(X2,esk11_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9),esk13_7(X1,X2,X3,X4,X5,esk11_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9),esk12_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9)))
    | ~ member(esk11_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9),X3)
    | ~ member(esk12_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9),X5) ),
    inference(spm,[status(thm)],[c_0_31,c_0_47]) ).

cnf(c_0_55,negated_conjecture,
    ( decreasing(X1,esk3_0,esk6_0,X2,X3)
    | apply(esk8_0,esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,esk6_0,X2,X3))),X4)
    | ~ apply(esk2_0,esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,esk6_0,X2,X3)),X4)
    | ~ member(esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,esk6_0,X2,X3))),esk5_0)
    | ~ member(esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,esk6_0,X2,X3)),esk4_0)
    | ~ member(esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,esk6_0,X2,X3)),esk4_0)
    | ~ member(X4,esk5_0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_56,negated_conjecture,
    ( decreasing(X1,esk3_0,X2,X3,X4)
    | member(esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,X2,X3,X4))),esk5_0) ),
    inference(spm,[status(thm)],[c_0_50,c_0_27]) ).

cnf(c_0_57,negated_conjecture,
    ( decreasing(X1,esk3_0,X2,X3,X4)
    | apply(esk2_0,esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,X2,X3,X4)),esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,X2,X3,X4)))) ),
    inference(spm,[status(thm)],[c_0_42,c_0_22]) ).

cnf(c_0_58,negated_conjecture,
    ( esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X4,X3,X5)) = esk13_7(X1,esk1_0,esk3_0,X2,X3,esk9_5(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X4,X3,X5),esk10_5(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X4,X3,X5))
    | decreasing(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X4,X3,X5)
    | ~ maps(esk1_0,X6,esk4_0)
    | ~ member(esk13_7(X1,esk1_0,esk3_0,X2,X3,esk9_5(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X4,X3,X5),esk10_5(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X4,X3,X5)),esk4_0)
    | ~ member(esk9_5(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X4,X3,X5),X6) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_59,plain,
    ( decreasing(compose_function(X1,X2,X3,X4,X5),X3,X6,X5,X7)
    | member(esk13_7(X1,X2,X3,X4,X5,esk9_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X5,X7),esk10_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X5,X7)),X4) ),
    inference(spm,[status(thm)],[c_0_53,c_0_45]) ).

cnf(c_0_60,plain,
    ( apply(X5,esk13_7(X5,X6,X4,X7,X2,X3,X1),X1)
    | ~ member(X1,X2)
    | ~ member(X3,X4)
    | ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_61,negated_conjecture,
    ( X1 = esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X2,esk3_0,X3,X4,X5))
    | decreasing(X2,esk3_0,X3,X4,X5)
    | ~ apply(esk1_0,esk11_5(X2,esk3_0,X3,X4,X5),X1)
    | ~ maps(esk1_0,X6,X7)
    | ~ member(esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X2,esk3_0,X3,X4,X5)),X7)
    | ~ member(esk11_5(X2,esk3_0,X3,X4,X5),X6)
    | ~ member(X1,X7) ),
    inference(spm,[status(thm)],[c_0_37,c_0_25]) ).

cnf(c_0_62,plain,
    ( decreasing(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8)
    | apply(X2,esk11_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8),esk13_7(X1,X2,X3,X4,X5,esk11_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8),esk12_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8)))
    | ~ member(esk12_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8),X5) ),
    inference(spm,[status(thm)],[c_0_54,c_0_23]) ).

cnf(c_0_63,plain,
    ( decreasing(X1,X2,X3,X4,X5)
    | member(esk12_5(X1,X2,X3,X4,X5),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_64,plain,
    ( decreasing(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9)
    | member(esk13_7(X1,X2,X3,X4,X5,esk11_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9),esk12_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9)),X4)
    | ~ member(esk11_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9),X3)
    | ~ member(esk12_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9),X5) ),
    inference(spm,[status(thm)],[c_0_39,c_0_47]) ).

cnf(c_0_65,negated_conjecture,
    ( decreasing(X1,esk3_0,esk6_0,X2,X3)
    | apply(esk8_0,esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,esk6_0,X2,X3))),X4)
    | ~ apply(esk2_0,esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,esk6_0,X2,X3)),X4)
    | ~ member(esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,esk6_0,X2,X3)),esk4_0)
    | ~ member(esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,esk6_0,X2,X3)),esk4_0)
    | ~ member(X4,esk5_0) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_66,negated_conjecture,
    ( X1 = esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X2,esk3_0,X3,X4,X5)))
    | decreasing(X2,esk3_0,X3,X4,X5)
    | ~ apply(esk2_0,esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X2,esk3_0,X3,X4,X5)),X1)
    | ~ maps(esk2_0,X6,X7)
    | ~ member(esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X2,esk3_0,X3,X4,X5))),X7)
    | ~ member(esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X2,esk3_0,X3,X4,X5)),X6)
    | ~ member(X1,X7) ),
    inference(spm,[status(thm)],[c_0_37,c_0_57]) ).

cnf(c_0_67,negated_conjecture,
    ( decreasing(X1,esk3_0,X2,X3,X4)
    | member(esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,X2,X3,X4))),esk5_0) ),
    inference(spm,[status(thm)],[c_0_50,c_0_22]) ).

cnf(c_0_68,negated_conjecture,
    ( esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X3,X2,X4)) = esk13_7(X1,esk1_0,esk3_0,esk4_0,X2,esk9_5(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X3,X2,X4),esk10_5(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X3,X2,X4))
    | decreasing(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X3,X2,X4)
    | ~ maps(esk1_0,X5,esk4_0)
    | ~ member(esk9_5(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X3,X2,X4),X5) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_69,plain,
    ( decreasing(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9)
    | apply(X1,esk13_7(X1,X2,X3,X4,X5,esk9_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9),esk10_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9)),esk10_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9))
    | ~ member(esk9_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9),X3)
    | ~ member(esk10_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9),X5) ),
    inference(spm,[status(thm)],[c_0_60,c_0_32]) ).

cnf(c_0_70,negated_conjecture,
    ( X1 = esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X2,esk3_0,X3,X4,X5))
    | decreasing(X2,esk3_0,X3,X4,X5)
    | ~ apply(esk1_0,esk11_5(X2,esk3_0,X3,X4,X5),X1)
    | ~ maps(esk1_0,X6,esk4_0)
    | ~ member(esk11_5(X2,esk3_0,X3,X4,X5),X6)
    | ~ member(X1,esk4_0) ),
    inference(spm,[status(thm)],[c_0_61,c_0_27]) ).

cnf(c_0_71,plain,
    ( decreasing(compose_function(X1,X2,X3,X4,X5),X3,X6,X5,X7)
    | apply(X2,esk11_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X5,X7),esk13_7(X1,X2,X3,X4,X5,esk11_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X5,X7),esk12_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X5,X7))) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_72,plain,
    ( decreasing(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8)
    | member(esk13_7(X1,X2,X3,X4,X5,esk11_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8),esk12_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8)),X4)
    | ~ member(esk12_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8),X5) ),
    inference(spm,[status(thm)],[c_0_64,c_0_23]) ).

cnf(c_0_73,negated_conjecture,
    ( decreasing(X1,esk3_0,esk6_0,X2,X3)
    | apply(esk8_0,esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,esk6_0,X2,X3))),esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,esk6_0,X2,X3))))
    | ~ member(esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,esk6_0,X2,X3))),esk5_0)
    | ~ member(esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,esk6_0,X2,X3)),esk4_0)
    | ~ member(esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,esk6_0,X2,X3)),esk4_0) ),
    inference(spm,[status(thm)],[c_0_65,c_0_57]) ).

cnf(c_0_74,negated_conjecture,
    ( X1 = esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X2,esk3_0,X3,X4,X5)))
    | decreasing(X2,esk3_0,X3,X4,X5)
    | ~ apply(esk2_0,esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X2,esk3_0,X3,X4,X5)),X1)
    | ~ maps(esk2_0,X6,esk5_0)
    | ~ member(esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X2,esk3_0,X3,X4,X5)),X6)
    | ~ member(X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_75,negated_conjecture,
    ( esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X3,X2,X4)) = esk13_7(X1,esk1_0,esk3_0,esk4_0,X2,esk9_5(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X3,X2,X4),esk10_5(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X3,X2,X4))
    | decreasing(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X3,X2,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_16]),c_0_12])]) ).

cnf(c_0_76,plain,
    ( decreasing(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8)
    | apply(X1,esk13_7(X1,X2,X3,X4,X5,esk9_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8),esk10_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8)),esk10_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8))
    | ~ member(esk10_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8),X5) ),
    inference(spm,[status(thm)],[c_0_69,c_0_16]) ).

cnf(c_0_77,negated_conjecture,
    ( esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X4,X3,X5)) = esk13_7(X1,esk1_0,esk3_0,X2,X3,esk11_5(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X4,X3,X5),esk12_5(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X4,X3,X5))
    | decreasing(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X4,X3,X5)
    | ~ maps(esk1_0,X6,esk4_0)
    | ~ member(esk13_7(X1,esk1_0,esk3_0,X2,X3,esk11_5(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X4,X3,X5),esk12_5(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X4,X3,X5)),esk4_0)
    | ~ member(esk11_5(compose_function(X1,esk1_0,esk3_0,X2,X3),esk3_0,X4,X3,X5),X6) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_78,plain,
    ( decreasing(compose_function(X1,X2,X3,X4,X5),X3,X6,X5,X7)
    | member(esk13_7(X1,X2,X3,X4,X5,esk11_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X5,X7),esk12_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X5,X7)),X4) ),
    inference(spm,[status(thm)],[c_0_72,c_0_63]) ).

cnf(c_0_79,negated_conjecture,
    ( decreasing(X1,esk3_0,esk6_0,X2,X3)
    | apply(esk8_0,esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,esk6_0,X2,X3))),esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,esk6_0,X2,X3))))
    | ~ member(esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,esk6_0,X2,X3)),esk4_0)
    | ~ member(esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,esk6_0,X2,X3)),esk4_0) ),
    inference(spm,[status(thm)],[c_0_73,c_0_67]) ).

cnf(c_0_80,negated_conjecture,
    ( X1 = esk18_4(esk2_0,esk4_0,esk5_0,esk13_7(X2,esk1_0,esk3_0,esk4_0,X3,esk9_5(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X4,X3,X5),esk10_5(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X4,X3,X5)))
    | decreasing(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X4,X3,X5)
    | ~ apply(esk2_0,esk13_7(X2,esk1_0,esk3_0,esk4_0,X3,esk9_5(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X4,X3,X5),esk10_5(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X4,X3,X5)),X1)
    | ~ maps(esk2_0,X6,esk5_0)
    | ~ member(esk13_7(X2,esk1_0,esk3_0,esk4_0,X3,esk9_5(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X4,X3,X5),esk10_5(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X4,X3,X5)),X6)
    | ~ member(X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_81,plain,
    ( decreasing(compose_function(X1,X2,X3,X4,X5),X3,X6,X5,X7)
    | apply(X1,esk13_7(X1,X2,X3,X4,X5,esk9_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X5,X7),esk10_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X5,X7)),esk10_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X5,X7)) ),
    inference(spm,[status(thm)],[c_0_76,c_0_45]) ).

cnf(c_0_82,negated_conjecture,
    ( X1 = esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X2,esk3_0,X3,X4,X5)))
    | decreasing(X2,esk3_0,X3,X4,X5)
    | ~ apply(esk2_0,esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X2,esk3_0,X3,X4,X5)),X1)
    | ~ maps(esk2_0,X6,X7)
    | ~ member(esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X2,esk3_0,X3,X4,X5))),X7)
    | ~ member(esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X2,esk3_0,X3,X4,X5)),X6)
    | ~ member(X1,X7) ),
    inference(spm,[status(thm)],[c_0_37,c_0_49]) ).

cnf(c_0_83,negated_conjecture,
    ( esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X3,X2,X4)) = esk13_7(X1,esk1_0,esk3_0,esk4_0,X2,esk11_5(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X3,X2,X4),esk12_5(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X3,X2,X4))
    | decreasing(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X3,X2,X4)
    | ~ maps(esk1_0,X5,esk4_0)
    | ~ member(esk11_5(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X3,X2,X4),X5) ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_84,plain,
    ( decreasing(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9)
    | apply(X1,esk13_7(X1,X2,X3,X4,X5,esk11_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9),esk12_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9)),esk12_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9))
    | ~ member(esk11_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9),X3)
    | ~ member(esk12_5(compose_function(X1,X2,X3,X4,X5),X6,X7,X8,X9),X5) ),
    inference(spm,[status(thm)],[c_0_60,c_0_47]) ).

cnf(c_0_85,negated_conjecture,
    ( decreasing(X1,esk3_0,esk6_0,X2,X3)
    | apply(esk8_0,esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,esk6_0,X2,X3))),esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,esk6_0,X2,X3))))
    | ~ member(esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,esk6_0,X2,X3)),esk4_0) ),
    inference(spm,[status(thm)],[c_0_79,c_0_27]) ).

cnf(c_0_86,negated_conjecture,
    ( esk18_4(esk2_0,esk4_0,esk5_0,esk13_7(esk2_0,esk1_0,esk3_0,esk4_0,X1,esk9_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3),esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3))) = esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3)
    | decreasing(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3)
    | ~ maps(esk2_0,X4,esk5_0)
    | ~ member(esk13_7(esk2_0,esk1_0,esk3_0,esk4_0,X1,esk9_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3),esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3)),X4)
    | ~ member(esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3),esk5_0) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_87,negated_conjecture,
    ( X1 = esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X2,esk3_0,X3,X4,X5)))
    | decreasing(X2,esk3_0,X3,X4,X5)
    | ~ apply(esk2_0,esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X2,esk3_0,X3,X4,X5)),X1)
    | ~ maps(esk2_0,X6,esk5_0)
    | ~ member(esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X2,esk3_0,X3,X4,X5)),X6)
    | ~ member(X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_82,c_0_56]) ).

cnf(c_0_88,negated_conjecture,
    ( esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X3,X2,X4)) = esk13_7(X1,esk1_0,esk3_0,esk4_0,X2,esk11_5(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X3,X2,X4),esk12_5(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X3,X2,X4))
    | decreasing(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,X3,X2,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_23]),c_0_12])]) ).

cnf(c_0_89,plain,
    ( decreasing(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8)
    | apply(X1,esk13_7(X1,X2,X3,X4,X5,esk11_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8),esk12_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8)),esk12_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8))
    | ~ member(esk12_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X7,X8),X5) ),
    inference(spm,[status(thm)],[c_0_84,c_0_23]) ).

cnf(c_0_90,negated_conjecture,
    ( decreasing(X1,esk3_0,esk6_0,X2,X3)
    | apply(esk8_0,esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(X1,esk3_0,esk6_0,X2,X3))),esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(X1,esk3_0,esk6_0,X2,X3)))) ),
    inference(spm,[status(thm)],[c_0_85,c_0_22]) ).

cnf(c_0_91,negated_conjecture,
    ( esk18_4(esk2_0,esk4_0,esk5_0,esk13_7(esk2_0,esk1_0,esk3_0,esk4_0,X1,esk9_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3),esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3))) = esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3)
    | decreasing(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3)
    | ~ member(esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3),esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_59]),c_0_36])]) ).

cnf(c_0_92,negated_conjecture,
    ( X1 = esk18_4(esk2_0,esk4_0,esk5_0,esk13_7(X2,esk1_0,esk3_0,esk4_0,X3,esk11_5(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X4,X3,X5),esk12_5(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X4,X3,X5)))
    | decreasing(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X4,X3,X5)
    | ~ apply(esk2_0,esk13_7(X2,esk1_0,esk3_0,esk4_0,X3,esk11_5(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X4,X3,X5),esk12_5(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X4,X3,X5)),X1)
    | ~ maps(esk2_0,X6,esk5_0)
    | ~ member(esk13_7(X2,esk1_0,esk3_0,esk4_0,X3,esk11_5(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X4,X3,X5),esk12_5(compose_function(X2,esk1_0,esk3_0,esk4_0,X3),esk3_0,X4,X3,X5)),X6)
    | ~ member(X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_93,plain,
    ( decreasing(compose_function(X1,X2,X3,X4,X5),X3,X6,X5,X7)
    | apply(X1,esk13_7(X1,X2,X3,X4,X5,esk11_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X5,X7),esk12_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X5,X7)),esk12_5(compose_function(X1,X2,X3,X4,X5),X3,X6,X5,X7)) ),
    inference(spm,[status(thm)],[c_0_89,c_0_63]) ).

cnf(c_0_94,negated_conjecture,
    ( decreasing(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,esk6_0,X2,X3)
    | apply(esk8_0,esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,esk6_0,X2,X3))),esk18_4(esk2_0,esk4_0,esk5_0,esk13_7(X1,esk1_0,esk3_0,esk4_0,X2,esk9_5(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,esk6_0,X2,X3),esk10_5(compose_function(X1,esk1_0,esk3_0,esk4_0,X2),esk3_0,esk6_0,X2,X3)))) ),
    inference(spm,[status(thm)],[c_0_90,c_0_75]) ).

cnf(c_0_95,negated_conjecture,
    ( esk18_4(esk2_0,esk4_0,esk5_0,esk13_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk9_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,X1,esk5_0,X2),esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,X1,esk5_0,X2))) = esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,X1,esk5_0,X2)
    | decreasing(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,X1,esk5_0,X2) ),
    inference(spm,[status(thm)],[c_0_91,c_0_45]) ).

cnf(c_0_96,negated_conjecture,
    ( esk18_4(esk2_0,esk4_0,esk5_0,esk13_7(esk2_0,esk1_0,esk3_0,esk4_0,X1,esk11_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3),esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3))) = esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3)
    | decreasing(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3)
    | ~ maps(esk2_0,X4,esk5_0)
    | ~ member(esk13_7(esk2_0,esk1_0,esk3_0,esk4_0,X1,esk11_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3),esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3)),X4)
    | ~ member(esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3),esk5_0) ),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_97,negated_conjecture,
    ( decreasing(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,X1)
    | apply(esk8_0,esk18_4(esk2_0,esk4_0,esk5_0,esk18_4(esk1_0,esk3_0,esk4_0,esk11_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,X1))),esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,X1)) ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_98,negated_conjecture,
    ( esk18_4(esk2_0,esk4_0,esk5_0,esk13_7(esk2_0,esk1_0,esk3_0,esk4_0,X1,esk11_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3),esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3))) = esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3)
    | decreasing(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3)
    | ~ member(esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,X1),esk3_0,X2,X1,X3),esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_78]),c_0_36])]) ).

cnf(c_0_99,negated_conjecture,
    ( decreasing(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,X1)
    | apply(esk8_0,esk18_4(esk2_0,esk4_0,esk5_0,esk13_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk11_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,X1),esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,X1))),esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,X1)) ),
    inference(spm,[status(thm)],[c_0_97,c_0_88]) ).

cnf(c_0_100,negated_conjecture,
    ( esk18_4(esk2_0,esk4_0,esk5_0,esk13_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk11_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,X1,esk5_0,X2),esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,X1,esk5_0,X2))) = esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,X1,esk5_0,X2)
    | decreasing(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,X1,esk5_0,X2) ),
    inference(spm,[status(thm)],[c_0_98,c_0_63]) ).

cnf(c_0_101,plain,
    ( decreasing(X1,X2,X3,X4,X5)
    | ~ apply(X5,esk12_5(X1,X2,X3,X4,X5),esk10_5(X1,X2,X3,X4,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_102,negated_conjecture,
    ( decreasing(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,X1)
    | apply(esk8_0,esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,X1),esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,X1)) ),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_103,negated_conjecture,
    ~ decreasing(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_104,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET748+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.03/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n017.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 05:56:02 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.38/23.40  eprover: CPU time limit exceeded, terminating
% 0.38/23.40  eprover: CPU time limit exceeded, terminating
% 0.38/23.41  eprover: CPU time limit exceeded, terminating
% 0.38/23.41  eprover: CPU time limit exceeded, terminating
% 0.56/46.42  eprover: CPU time limit exceeded, terminating
% 0.56/46.42  eprover: CPU time limit exceeded, terminating
% 0.56/46.43  eprover: CPU time limit exceeded, terminating
% 0.56/46.45  eprover: CPU time limit exceeded, terminating
% 0.72/69.43  eprover: CPU time limit exceeded, terminating
% 0.72/69.43  eprover: CPU time limit exceeded, terminating
% 0.72/69.44  eprover: CPU time limit exceeded, terminating
% 0.72/69.49  eprover: CPU time limit exceeded, terminating
% 0.89/92.45  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.89/92.45  
% 0.89/92.46  eprover: CPU time limit exceeded, terminating
% 0.89/92.50  eprover: CPU time limit exceeded, terminating
% 1.07/115.46  eprover: CPU time limit exceeded, terminating
% 1.07/115.48  eprover: CPU time limit exceeded, terminating
% 1.07/115.49  eprover: CPU time limit exceeded, terminating
% 1.07/115.51  eprover: CPU time limit exceeded, terminating
% 1.23/138.48  eprover: CPU time limit exceeded, terminating
% 1.23/138.51  eprover: CPU time limit exceeded, terminating
% 1.23/138.52  eprover: CPU time limit exceeded, terminating
% 1.23/138.52  eprover: CPU time limit exceeded, terminating
% 1.40/161.49  eprover: CPU time limit exceeded, terminating
% 1.40/161.53  eprover: CPU time limit exceeded, terminating
% 1.40/161.53  eprover: CPU time limit exceeded, terminating
% 1.40/161.55  eprover: CPU time limit exceeded, terminating
% 1.41/164.60  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 1.41/164.60  
% 1.41/164.60  # Failure: Resource limit exceeded (time)
% 1.41/164.60  # OLD status Res
% 1.41/164.60  # Preprocessing time       : 0.027 s
% 1.41/164.60  # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 1.41/164.60  
% 1.41/164.60  # Failure: Resource limit exceeded (time)
% 1.41/164.60  # OLD status Res
% 1.41/164.60  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.41/164.60  # Preprocessing time       : 0.009 s
% 1.41/164.60  # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 1.41/164.60  
% 1.41/164.60  # Failure: Resource limit exceeded (time)
% 1.41/164.60  # OLD status Res
% 1.41/164.60  # Preprocessing time       : 0.023 s
% 1.41/164.60  # Running protocol protocol_eprover_f8b0f932169414d689b89e2a8b18d4600533b975 for 23 seconds:
% 1.41/164.60  
% 1.41/164.60  # Failure: Resource limit exceeded (time)
% 1.41/164.60  # OLD status Res
% 1.41/164.60  # Preprocessing time       : 0.012 s
% 1.41/164.60  # Running protocol protocol_eprover_fc511518e5f98a6b2c7baef820b71b6d1abb3e55 for 23 seconds:
% 1.41/164.60  
% 1.41/164.60  # Failure: Resource limit exceeded (time)
% 1.41/164.60  # OLD status Res
% 1.41/164.60  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,80,1.0)
% 1.41/164.60  # Preprocessing time       : 0.019 s
% 1.41/164.60  # Running protocol protocol_eprover_95b56b3f38545d2cfee43b45856d192a814b65d5 for 23 seconds:
% 1.41/164.60  
% 1.41/164.60  # Failure: Resource limit exceeded (time)
% 1.41/164.60  # OLD status Res
% 1.41/164.60  # Preprocessing time       : 0.013 s
% 1.41/164.60  # Running protocol protocol_eprover_6017f334107ca4679a9978dd19d7c76a8bd36e48 for 23 seconds:
% 1.41/164.60  
% 1.41/164.60  # Failure: Resource limit exceeded (time)
% 1.41/164.60  # OLD status Res
% 1.41/164.60  # SinE strategy is GSinE(CountFormulas,,1.4,,02,20000,1.0)
% 1.41/164.60  # Preprocessing time       : 0.012 s
% 1.41/164.60  # Running protocol protocol_eprover_29f46a864b4eba32a7d0333eeab34cc2a3bfeeb2 for 23 seconds:
% 1.41/164.60  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,04,500,1.0)
% 1.41/164.60  # Preprocessing time       : 0.012 s
% 1.41/164.60  
% 1.41/164.60  # Proof found!
% 1.41/164.60  # SZS status Theorem
% 1.41/164.60  # SZS output start CNFRefutation
% See solution above
% 1.41/164.60  # Proof object total steps             : 105
% 1.41/164.60  # Proof object clause steps            : 94
% 1.41/164.60  # Proof object formula steps           : 11
% 1.41/164.60  # Proof object conjectures             : 63
% 1.41/164.60  # Proof object clause conjectures      : 60
% 1.41/164.60  # Proof object formula conjectures     : 3
% 1.41/164.60  # Proof object initial clauses used    : 21
% 1.41/164.60  # Proof object initial formulas used   : 5
% 1.41/164.60  # Proof object generating inferences   : 73
% 1.41/164.60  # Proof object simplifying inferences  : 9
% 1.41/164.60  # Training examples: 0 positive, 0 negative
% 1.41/164.60  # Parsed axioms                        : 29
% 1.41/164.60  # Removed by relevancy pruning/SinE    : 24
% 1.41/164.60  # Initial clauses                      : 42
% 1.41/164.60  # Removed in clause preprocessing      : 0
% 1.41/164.60  # Initial clauses in saturation        : 42
% 1.41/164.60  # Processed clauses                    : 11980
% 1.41/164.60  # ...of these trivial                  : 0
% 1.41/164.60  # ...subsumed                          : 5909
% 1.41/164.60  # ...remaining for further processing  : 6071
% 1.41/164.60  # Other redundant clauses eliminated   : 0
% 1.41/164.60  # Clauses deleted for lack of memory   : 0
% 1.41/164.60  # Backward-subsumed                    : 1384
% 1.41/164.60  # Backward-rewritten                   : 0
% 1.41/164.60  # Generated clauses                    : 19539
% 1.41/164.60  # ...of the previous two non-trivial   : 19493
% 1.41/164.60  # Contextual simplify-reflections      : 0
% 1.41/164.60  # Paramodulations                      : 19539
% 1.41/164.60  # Factorizations                       : 0
% 1.41/164.60  # Equation resolutions                 : 0
% 1.41/164.60  # Current number of processed clauses  : 4687
% 1.41/164.60  #    Positive orientable unit clauses  : 4
% 1.41/164.60  #    Positive unorientable unit clauses: 0
% 1.41/164.60  #    Negative unit clauses             : 1
% 1.41/164.60  #    Non-unit-clauses                  : 4682
% 1.41/164.60  # Current number of unprocessed clauses: 6677
% 1.41/164.60  # ...number of literals in the above   : 37866
% 1.41/164.60  # Current number of archived formulas  : 0
% 1.41/164.60  # Current number of archived clauses   : 1384
% 1.41/164.60  # Clause-clause subsumption calls (NU) : 1511000
% 1.41/164.60  # Rec. Clause-clause subsumption calls : 965738
% 1.41/164.60  # Non-unit clause-clause subsumptions  : 7293
% 1.41/164.60  # Unit Clause-clause subsumption calls : 0
% 1.41/164.60  # Rewrite failures with RHS unbound    : 0
% 1.41/164.60  # BW rewrite match attempts            : 0
% 1.41/164.60  # BW rewrite match successes           : 0
% 1.41/164.60  # Condensation attempts                : 0
% 1.41/164.60  # Condensation successes               : 0
% 1.41/164.60  # Termbank termtop insertions          : 1668248
% 1.41/164.60  
% 1.41/164.60  # -------------------------------------------------
% 1.41/164.60  # User time                : 2.673 s
% 1.41/164.60  # System time              : 0.024 s
% 1.41/164.60  # Total time               : 2.697 s
% 1.41/164.60  # Maximum resident set size: 34024 pages
% 1.41/184.50  eprover: CPU time limit exceeded, terminating
% 1.41/184.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.41/184.51  eprover: No such file or directory
% 1.41/184.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.41/184.51  eprover: No such file or directory
% 1.41/184.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.41/184.52  eprover: No such file or directory
% 1.41/184.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.41/184.52  eprover: No such file or directory
% 1.41/184.55  eprover: CPU time limit exceeded, terminating
% 1.41/184.56  eprover: CPU time limit exceeded, terminating
% 1.41/184.56  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.41/184.56  eprover: No such file or directory
% 1.41/184.57  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.41/184.57  eprover: No such file or directory
% 1.41/184.57  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.41/184.57  eprover: No such file or directory
% 1.41/184.57  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.41/184.57  eprover: No such file or directory
% 1.41/184.57  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.41/184.57  eprover: No such file or directory
% 1.41/184.58  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.41/184.58  eprover: No such file or directory
% 1.41/184.58  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.41/184.58  eprover: No such file or directory
% 1.41/184.59  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.41/184.59  eprover: No such file or directory
%------------------------------------------------------------------------------