E---3.5.1.THM-CRf.s

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Problem Process solution in
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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SCT115+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:07:44 PM UTC 2026

% Result   : Theorem 245.35s 36.18s
% Output   : CNFRefutation 245.35s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_2,conjecture,
    ( ! [X3,X36] :
        ( X3 != X36
       => ( ( X3 != v_x
            & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X3),v_L)
            & X36 = v_x )
          | ( X36 != v_x
            & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,v_y),v_L)
            & X3 = v_x )
          | ( X3 != v_x
            & X36 != v_x
            & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X3),v_L) )
          | ( X3 = v_y
            & X36 = v_x )
          | ( X36 != v_x
            & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X36),v_L)
            & X3 = v_x )
          | ( X3 != v_x
            & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L)
            & X36 = v_x )
          | ( X36 != v_x
            & X3 != v_x
            & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L) )
          | ( X36 = v_y
            & X3 = v_x ) ) )
    & ! [X3,X36] :
        ( ( ( X36 != v_x
            & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X36),v_L)
            & X3 = v_x )
         => ! [X35] :
              ( ( X35 = v_x
               => ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,v_y),v_L) )
              & ( ( X35 != v_x
                  & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X35),v_L) )
               => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X35),v_L)
                  | X35 = v_y ) ) ) )
        & ( ( X3 != v_x
            & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L)
            & X36 = v_x )
         => ! [X35] :
              ( ( X35 != v_x
                & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X35),v_L) )
             => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X35),v_L) ) )
        & ( ( X36 != v_x
            & X3 != v_x
            & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L) )
         => ! [X35] :
              ( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,v_y),v_L)
                  & X35 = v_x )
               => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L) )
              & ( ( X35 != v_x
                  & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X35),v_L) )
               => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X35),v_L) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).

fof(conj_1,hypothesis,
    ( ! [X3,X36] :
        ( X3 != X36
       => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X3),v_L)
          | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L) ) )
    & ! [X3] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X3),v_L)
    & ! [X3,X36] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L)
       => ! [X35] :
            ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X35),v_L)
           => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X35),v_L) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

fof(conj_0,hypothesis,
    v_x != v_y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(c_0_3,negated_conjecture,
    ~ ( ! [X3,X36] :
          ( X3 != X36
         => ( ( X3 != v_x
              & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X3),v_L)
              & X36 = v_x )
            | ( X36 != v_x
              & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,v_y),v_L)
              & X3 = v_x )
            | ( X3 != v_x
              & X36 != v_x
              & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X3),v_L) )
            | ( X3 = v_y
              & X36 = v_x )
            | ( X36 != v_x
              & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X36),v_L)
              & X3 = v_x )
            | ( X3 != v_x
              & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L)
              & X36 = v_x )
            | ( X36 != v_x
              & X3 != v_x
              & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L) )
            | ( X36 = v_y
              & X3 = v_x ) ) )
      & ! [X3,X36] :
          ( ( ( X36 != v_x
              & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X36),v_L)
              & X3 = v_x )
           => ! [X35] :
                ( ( X35 = v_x
                 => ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,v_y),v_L) )
                & ( ( X35 != v_x
                    & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X35),v_L) )
                 => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X35),v_L)
                    | X35 = v_y ) ) ) )
          & ( ( X3 != v_x
              & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L)
              & X36 = v_x )
           => ! [X35] :
                ( ( X35 != v_x
                  & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X35),v_L) )
               => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X35),v_L) ) )
          & ( ( X36 != v_x
              & X3 != v_x
              & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L) )
           => ! [X35] :
                ( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,v_y),v_L)
                    & X35 = v_x )
                 => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L) )
                & ( ( X35 != v_x
                    & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X35),v_L) )
                 => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X35),v_L) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[conj_2]) ).

fof(c_0_4,plain,
    ! [X36,X3] :
      ( epred1_2(X3,X36)
    <=> ( ( ( X3 != v_x
            & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L)
            & X36 = v_x )
         => ! [X35] :
              ( ( X35 != v_x
                & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X35),v_L) )
             => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X35),v_L) ) )
        & ( ( X36 != v_x
            & X3 != v_x
            & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L) )
         => ! [X35] :
              ( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,v_y),v_L)
                  & X35 = v_x )
               => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L) )
              & ( ( X35 != v_x
                  & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X35),v_L) )
               => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X35),v_L) ) ) ) ) ),
    introduced(definition) ).

fof(c_0_5,negated_conjecture,
    ~ ( ! [X3,X36] :
          ( X3 != X36
         => ( ( X3 != v_x
              & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X3),v_L)
              & X36 = v_x )
            | ( X36 != v_x
              & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,v_y),v_L)
              & X3 = v_x )
            | ( X3 != v_x
              & X36 != v_x
              & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X3),v_L) )
            | ( X3 = v_y
              & X36 = v_x )
            | ( X36 != v_x
              & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X36),v_L)
              & X3 = v_x )
            | ( X3 != v_x
              & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L)
              & X36 = v_x )
            | ( X36 != v_x
              & X3 != v_x
              & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L) )
            | ( X36 = v_y
              & X3 = v_x ) ) )
      & ! [X3,X36] :
          ( ( ( X36 != v_x
              & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X36),v_L)
              & X3 = v_x )
           => ! [X35] :
                ( ( X35 = v_x
                 => ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,v_y),v_L) )
                & ( ( X35 != v_x
                    & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X35),v_L) )
                 => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X35),v_L)
                    | X35 = v_y ) ) ) )
          & epred1_2(X3,X36) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_3]),c_0_4]) ).

fof(c_0_6,hypothesis,
    ( ! [X3,X36] :
        ( X3 != X36
       => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X3),v_L)
          | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L) ) )
    & ! [X3] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X3),v_L)
    & ! [X3,X36] :
        ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L)
       => ! [X35] :
            ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X35),v_L)
           => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X35),v_L) ) ) ),
    inference(fof_simplification,[status(thm)],[conj_1]) ).

fof(c_0_7,negated_conjecture,
    ( ( ~ epred1_2(esk1_0,esk2_0)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk4_0 = v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk4_0),v_L) )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk4_0 != v_y
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk5_0 = v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk5_0),v_L) )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk5_0 != v_y
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk4_0 != esk5_0 )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
      | esk3_0 = v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
      | esk3_0 = v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
      | esk3_0 = v_x
      | esk4_0 = v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk4_0),v_L) )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
      | esk3_0 = v_x
      | esk4_0 != v_y
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
      | esk3_0 = v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
      | esk3_0 = v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
      | esk3_0 = v_x
      | esk5_0 = v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk5_0),v_L) )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
      | esk3_0 = v_x
      | esk5_0 != v_y
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
      | esk3_0 = v_x
      | esk4_0 != esk5_0 )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_y
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_y
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_y
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk4_0 = v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk4_0),v_L) )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_y
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk4_0 != v_y
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_y
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_y
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_y
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk5_0 = v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk5_0),v_L) )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_y
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk5_0 != v_y
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_y
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk4_0 != esk5_0 )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_y
      | esk3_0 = v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_y
      | esk3_0 = v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_y
      | esk3_0 = v_x
      | esk4_0 = v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk4_0),v_L) )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_y
      | esk3_0 = v_x
      | esk4_0 != v_y
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_y
      | esk3_0 = v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_y
      | esk3_0 = v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_y
      | esk3_0 = v_x
      | esk5_0 = v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk5_0),v_L) )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_y
      | esk3_0 = v_x
      | esk5_0 != v_y
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_y
      | esk3_0 = v_x
      | esk4_0 != esk5_0 )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_x
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_x
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_x
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk4_0 = v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk4_0),v_L) )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_x
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk4_0 != v_y
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_x
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_x
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_x
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk5_0 = v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk5_0),v_L) )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_x
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk5_0 != v_y
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_x
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk4_0 != esk5_0 )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_x
      | esk3_0 = v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_x
      | esk3_0 = v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_x
      | esk3_0 = v_x
      | esk4_0 = v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk4_0),v_L) )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_x
      | esk3_0 = v_x
      | esk4_0 != v_y
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_x
      | esk3_0 = v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_x
      | esk3_0 = v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_x
      | esk3_0 = v_x
      | esk5_0 = v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk5_0),v_L) )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_x
      | esk3_0 = v_x
      | esk5_0 != v_y
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk3_0 != v_x
      | esk3_0 = v_x
      | esk4_0 != esk5_0 )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk4_0 = v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk4_0),v_L) )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk4_0 != v_y
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk5_0 = v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk5_0),v_L) )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk5_0 != v_y
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
      | esk4_0 != esk5_0 )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
      | esk3_0 = v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
      | esk3_0 = v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
      | esk3_0 = v_x
      | esk4_0 = v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk4_0),v_L) )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
      | esk3_0 = v_x
      | esk4_0 != v_y
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
      | esk3_0 = v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
      | esk3_0 = v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
      | esk3_0 = v_x
      | esk5_0 = v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk5_0),v_L) )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
      | esk3_0 = v_x
      | esk5_0 != v_y
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
      | esk3_0 = v_x
      | esk4_0 != esk5_0 )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk2_0 != v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk2_0 != v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk2_0 != v_x
      | esk4_0 = v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk4_0),v_L) )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk2_0 != v_x
      | esk4_0 != v_y
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk2_0 != v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk2_0 != v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk2_0 != v_x
      | esk5_0 = v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk5_0),v_L) )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk2_0 != v_x
      | esk5_0 != v_y
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk2_0 != v_x
      | esk4_0 != esk5_0 )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
      | esk4_0 = v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk4_0),v_L) )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
      | esk4_0 != v_y
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
      | esk5_0 = v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk5_0),v_L) )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
      | esk5_0 != v_y
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
      | esk4_0 != esk5_0 )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk1_0 = v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk1_0 = v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk1_0 = v_x
      | esk4_0 = v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk4_0),v_L) )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk1_0 = v_x
      | esk4_0 != v_y
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk1_0 = v_x
      | esk5_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk1_0 = v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
      | esk5_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk1_0 = v_x
      | esk5_0 = v_x
      | esk4_0 = v_x
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk5_0),v_L) )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk1_0 = v_x
      | esk5_0 != v_y
      | esk4_0 != v_x )
    & ( ~ epred1_2(esk1_0,esk2_0)
      | esk1_0 = v_x
      | esk4_0 != esk5_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).

fof(c_0_8,hypothesis,
    ! [X82,X83,X84,X85,X86,X87] :
      ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X87,X86),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X86,X87),v_L)
        | X86 = X87 )
      & ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X85,X85),v_L)
      & ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X82,X84),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X83,X84),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X82,X83),v_L) ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).

fof(c_0_9,plain,
    ! [X36,X3] :
      ( ( ( ( X3 != v_x
            & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L)
            & X36 = v_x )
         => ! [X35] :
              ( ( X35 != v_x
                & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X35),v_L) )
             => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X35),v_L) ) )
        & ( ( X36 != v_x
            & X3 != v_x
            & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L) )
         => ! [X35] :
              ( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,v_y),v_L)
                  & X35 = v_x )
               => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_y),v_L) )
              & ( ( X35 != v_x
                  & c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X35),v_L) )
               => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X35),v_L) ) ) ) )
     => epred1_2(X3,X36) ),
    inference(split_equiv,[status(thm)],[c_0_4]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk5_0),v_L)
    | esk1_0 = v_x
    | esk5_0 = v_x
    | esk4_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,hypothesis,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk4_0),v_L)
    | esk1_0 = v_x
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_13,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk4_0 != esk5_0
    | esk1_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_14,plain,
    ! [X512,X513] :
      ( ( epred1_2(X513,X512)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk27_2(X512,X513)),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk27_2(X512,X513)),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L)
        | esk29_2(X512,X513) != v_x )
      & ( epred1_2(X513,X512)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk27_2(X512,X513)),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk27_2(X512,X513)),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L)
        | X513 != v_x )
      & ( epred1_2(X513,X512)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk27_2(X512,X513)),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L) )
      & ( epred1_2(X513,X512)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk27_2(X512,X513)),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L)
        | X512 = v_x )
      & ( epred1_2(X513,X512)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk27_2(X512,X513)),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,v_y),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk27_2(X512,X513)),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,v_y),v_L)
        | esk29_2(X512,X513) != v_x )
      & ( epred1_2(X513,X512)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk27_2(X512,X513)),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,v_y),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk27_2(X512,X513)),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,v_y),v_L)
        | X513 != v_x )
      & ( epred1_2(X513,X512)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk27_2(X512,X513)),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,v_y),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L) )
      & ( epred1_2(X513,X512)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk27_2(X512,X513)),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,v_y),v_L)
        | X512 = v_x )
      & ( epred1_2(X513,X512)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk27_2(X512,X513)),v_L)
        | esk28_2(X512,X513) = v_x
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk27_2(X512,X513)),v_L)
        | esk28_2(X512,X513) = v_x
        | esk29_2(X512,X513) != v_x )
      & ( epred1_2(X513,X512)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk27_2(X512,X513)),v_L)
        | esk28_2(X512,X513) = v_x
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk27_2(X512,X513)),v_L)
        | esk28_2(X512,X513) = v_x
        | X513 != v_x )
      & ( epred1_2(X513,X512)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk27_2(X512,X513)),v_L)
        | esk28_2(X512,X513) = v_x
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L) )
      & ( epred1_2(X513,X512)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk27_2(X512,X513)),v_L)
        | esk28_2(X512,X513) = v_x
        | X512 = v_x )
      & ( epred1_2(X513,X512)
        | esk27_2(X512,X513) != v_x
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | esk27_2(X512,X513) != v_x
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L)
        | esk29_2(X512,X513) != v_x )
      & ( epred1_2(X513,X512)
        | esk27_2(X512,X513) != v_x
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | esk27_2(X512,X513) != v_x
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L)
        | X513 != v_x )
      & ( epred1_2(X513,X512)
        | esk27_2(X512,X513) != v_x
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L) )
      & ( epred1_2(X513,X512)
        | esk27_2(X512,X513) != v_x
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L)
        | X512 = v_x )
      & ( epred1_2(X513,X512)
        | esk27_2(X512,X513) != v_x
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,v_y),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | esk27_2(X512,X513) != v_x
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,v_y),v_L)
        | esk29_2(X512,X513) != v_x )
      & ( epred1_2(X513,X512)
        | esk27_2(X512,X513) != v_x
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,v_y),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | esk27_2(X512,X513) != v_x
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,v_y),v_L)
        | X513 != v_x )
      & ( epred1_2(X513,X512)
        | esk27_2(X512,X513) != v_x
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,v_y),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L) )
      & ( epred1_2(X513,X512)
        | esk27_2(X512,X513) != v_x
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,v_y),v_L)
        | X512 = v_x )
      & ( epred1_2(X513,X512)
        | esk27_2(X512,X513) != v_x
        | esk28_2(X512,X513) = v_x
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | esk27_2(X512,X513) != v_x
        | esk28_2(X512,X513) = v_x
        | esk29_2(X512,X513) != v_x )
      & ( epred1_2(X513,X512)
        | esk27_2(X512,X513) != v_x
        | esk28_2(X512,X513) = v_x
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | esk27_2(X512,X513) != v_x
        | esk28_2(X512,X513) = v_x
        | X513 != v_x )
      & ( epred1_2(X513,X512)
        | esk27_2(X512,X513) != v_x
        | esk28_2(X512,X513) = v_x
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L) )
      & ( epred1_2(X513,X512)
        | esk27_2(X512,X513) != v_x
        | esk28_2(X512,X513) = v_x
        | X512 = v_x )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,esk27_2(X512,X513)),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,esk27_2(X512,X513)),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L)
        | esk29_2(X512,X513) != v_x )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,esk27_2(X512,X513)),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,esk27_2(X512,X513)),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L)
        | X513 != v_x )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,esk27_2(X512,X513)),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L) )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,esk27_2(X512,X513)),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L)
        | X512 = v_x )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,esk27_2(X512,X513)),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,v_y),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,esk27_2(X512,X513)),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,v_y),v_L)
        | esk29_2(X512,X513) != v_x )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,esk27_2(X512,X513)),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,v_y),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,esk27_2(X512,X513)),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,v_y),v_L)
        | X513 != v_x )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,esk27_2(X512,X513)),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,v_y),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L) )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,esk27_2(X512,X513)),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,v_y),v_L)
        | X512 = v_x )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,esk27_2(X512,X513)),v_L)
        | esk28_2(X512,X513) = v_x
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,esk27_2(X512,X513)),v_L)
        | esk28_2(X512,X513) = v_x
        | esk29_2(X512,X513) != v_x )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,esk27_2(X512,X513)),v_L)
        | esk28_2(X512,X513) = v_x
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,esk27_2(X512,X513)),v_L)
        | esk28_2(X512,X513) = v_x
        | X513 != v_x )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,esk27_2(X512,X513)),v_L)
        | esk28_2(X512,X513) = v_x
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L) )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X512,esk27_2(X512,X513)),v_L)
        | esk28_2(X512,X513) = v_x
        | X512 = v_x )
      & ( epred1_2(X513,X512)
        | X512 != v_x
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | X512 != v_x
        | esk29_2(X512,X513) != v_x )
      & ( epred1_2(X513,X512)
        | X512 != v_x
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | X512 != v_x
        | X513 != v_x )
      & ( epred1_2(X513,X512)
        | X512 != v_x
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L) )
      & ( epred1_2(X513,X512)
        | X512 != v_x
        | X512 = v_x )
      & ( epred1_2(X513,X512)
        | X513 != v_x
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | X513 != v_x
        | esk29_2(X512,X513) != v_x )
      & ( epred1_2(X513,X512)
        | X513 != v_x
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | X513 != v_x
        | X513 != v_x )
      & ( epred1_2(X513,X512)
        | X513 != v_x
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L) )
      & ( epred1_2(X513,X512)
        | X513 != v_x
        | X512 = v_x )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,X512),v_L)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,X512),v_L)
        | esk29_2(X512,X513) != v_x )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,X512),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk29_2(X512,X513)),v_L) )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,X512),v_L)
        | X513 != v_x )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,X512),v_L)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,v_y),v_L) )
      & ( epred1_2(X513,X512)
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X513,X512),v_L)
        | X512 = v_x ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])])]) ).

cnf(c_0_15,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk1_0 = v_x
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]) ).

cnf(c_0_16,plain,
    ( epred1_2(X2,X1)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk27_2(X1,X2)),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)
    | X1 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_17,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_18,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk27_2(esk2_0,esk1_0)),v_L)
    | esk5_0 = v_x
    | esk4_0 = v_x
    | esk1_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,plain,
    ( epred1_2(X2,X1)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)
    | X1 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk27_2(esk2_0,esk1_0)),v_L)
    | esk2_0 = v_x
    | esk1_0 = v_x
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk2_0),v_L)
    | esk5_0 = v_x
    | esk4_0 = v_x
    | esk1_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_15,c_0_19]) ).

cnf(c_0_22,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,esk27_2(X1,X2)),v_L)
    | epred1_2(X2,X1)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)
    | X1 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_23,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk27_2(esk2_0,esk1_0)),v_L)
    | esk5_0 = v_x
    | esk4_0 = v_x
    | esk1_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_24,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk2_0 = v_x
    | esk1_0 = v_x
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_15]) ).

cnf(c_0_25,plain,
    ( epred1_2(X1,X2)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_26,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)
    | esk5_0 = v_x
    | esk4_0 = v_x
    | esk1_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_24]) ).

cnf(c_0_27,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk2_0),v_L)
    | esk5_0 = v_x
    | esk4_0 = v_x
    | esk1_0 = v_x ),
    inference(spm,[status(thm)],[c_0_15,c_0_25]) ).

cnf(c_0_28,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L)
    | epred1_2(X2,X1)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk27_2(X1,X2)),v_L)
    | X1 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_29,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,v_y),v_L)
    | esk2_0 = v_x
    | esk1_0 = v_x
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_30,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk27_2(X1,esk1_0)),v_L)
    | epred1_2(esk1_0,X1)
    | X1 = v_x
    | esk5_0 = v_x
    | esk4_0 = v_x
    | esk1_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_31,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk27_2(esk2_0,esk1_0)),v_L)
    | esk5_0 = v_x
    | esk4_0 = v_x
    | esk1_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_15,c_0_30]) ).

cnf(c_0_32,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,esk27_2(X1,X2)),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_y),v_L)
    | epred1_2(X2,X1)
    | X1 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_33,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk27_2(esk2_0,esk1_0)),v_L)
    | esk2_0 = v_x
    | esk1_0 = v_x
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_31]) ).

cnf(c_0_34,plain,
    ( X1 != v_x
    | X1 != v_x
    | epred1_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_35,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk5_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk3_0 = v_x
    | esk5_0 = v_x
    | esk4_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk4_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk3_0 = v_x
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk4_0 != esk5_0
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk3_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_38,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk27_2(X1,esk1_0)),v_L)
    | epred1_2(esk1_0,X1)
    | X1 = v_x
    | esk5_0 = v_x
    | esk4_0 = v_x
    | esk1_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_32,c_0_29]) ).

cnf(c_0_39,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk27_2(esk2_0,esk1_0)),v_L)
    | esk5_0 = v_x
    | esk4_0 = v_x
    | esk1_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_33,c_0_21]) ).

cnf(c_0_40,plain,
    ( X1 != v_x
    | epred1_2(X1,X2) ),
    inference(cn,[status(thm)],[c_0_34]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk3_0 = v_x
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_11]),c_0_36]),c_0_37]) ).

cnf(c_0_42,plain,
    ( esk2_0 = v_x
    | esk1_0 = v_x
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_15]) ).

cnf(c_0_43,plain,
    epred1_2(v_x,X1),
    inference(er,[status(thm)],[c_0_40]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk5_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
    | esk5_0 = v_x
    | esk4_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_45,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk4_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk4_0 != esk5_0
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_47,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk5_0 = v_x
    | esk4_0 = v_x
    | esk3_0 = v_x
    | esk2_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).

cnf(c_0_48,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_11]),c_0_45]),c_0_46]) ).

cnf(c_0_49,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk3_0),v_L)
    | esk2_0 = v_x
    | esk3_0 = v_x
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_47]) ).

cnf(c_0_50,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
    | esk5_0 = v_x
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_42]),c_0_43])]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk5_0),v_L)
    | esk3_0 = v_x
    | esk5_0 = v_x
    | esk4_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_52,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
    | esk5_0 = v_x
    | esk4_0 = v_x
    | esk3_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk2_0 != v_x
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk5_0),v_L)
    | esk5_0 = v_x
    | esk4_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk5_0),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | esk3_0 = v_x
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk4_0),v_L)
    | esk3_0 = v_x
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk2_0 != v_x
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk4_0),v_L)
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_57,hypothesis,
    ( ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk4_0),v_L)
    | esk5_0 = v_x
    | esk4_0 = v_x
    | esk3_0 = v_x
    | esk4_0 = esk5_0 ),
    inference(spm,[status(thm)],[c_0_54,c_0_11]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk4_0),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | esk3_0 = v_x
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_52]),c_0_56]) ).

cnf(c_0_59,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk4_0),v_L)
    | esk4_0 = esk5_0
    | esk3_0 = v_x
    | esk4_0 = v_x
    | esk5_0 = v_x
    | esk2_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_42]),c_0_43])]) ).

cnf(c_0_60,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk5_0 = v_x
    | esk4_0 = v_x
    | esk3_0 = v_x
    | esk2_0 = v_x
    | esk4_0 = esk5_0 ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk3_0 != v_x
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk5_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk5_0 = v_x
    | esk4_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_62,plain,
    ( esk4_0 = esk5_0
    | esk2_0 = v_x
    | esk3_0 = v_x
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_42]),c_0_43])]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk5_0),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk4_0 = v_x
    | esk5_0 = v_x
    | esk4_0 = esk5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_53]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk3_0 != v_x
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk4_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_65,hypothesis,
    ( ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk4_0),v_L)
    | esk4_0 = esk5_0
    | esk5_0 = v_x
    | esk4_0 = v_x ),
    inference(spm,[status(thm)],[c_0_63,c_0_11]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk4_0 = v_x
    | esk5_0 = v_x
    | esk2_0 = v_x
    | esk4_0 = esk5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_62]),c_0_65]) ).

cnf(c_0_67,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | esk2_0 = v_x
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_50]) ).

cnf(c_0_68,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk4_0 = esk5_0
    | esk2_0 = v_x
    | esk5_0 = v_x
    | esk4_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_42]),c_0_43])]) ).

cnf(c_0_69,hypothesis,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
    | esk4_0 != esk5_0
    | esk3_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_71,hypothesis,
    ( esk5_0 = v_x
    | esk4_0 = v_x
    | esk2_0 = v_x
    | esk4_0 = esk5_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).

cnf(c_0_72,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk3_0 = v_x
    | esk2_0 = v_x
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_52]) ).

cnf(c_0_73,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk3_0 != v_x
    | esk4_0 != esk5_0
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_74,plain,
    ( esk5_0 = v_x
    | esk4_0 = v_x
    | esk2_0 = v_x
    | esk3_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_42]),c_0_43])]) ).

cnf(c_0_75,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk2_0 = v_x
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_71]) ).

cnf(c_0_76,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk5_0 = v_x
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_42]),c_0_43])]) ).

cnf(c_0_77,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
    | esk4_0 != v_x
    | esk1_0 = v_x
    | esk5_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_78,hypothesis,
    ( esk5_0 = v_x
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_76]),c_0_69]) ).

cnf(c_0_79,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
    | esk4_0 != v_x
    | esk1_0 = v_x
    | esk5_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_80,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk5_0 != v_y
    | esk4_0 != v_x
    | esk1_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_81,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | esk1_0 = v_x
    | esk5_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_82,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | esk1_0 = v_x
    | esk5_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_79,c_0_78]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk5_0 != v_y
    | esk1_0 = v_x
    | esk2_0 = v_x
    | esk5_0 = v_x ),
    inference(spm,[status(thm)],[c_0_80,c_0_78]) ).

cnf(c_0_84,hypothesis,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk2_0 = v_x
    | esk5_0 = v_x
    | esk1_0 = v_x ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_11]),c_0_82]),c_0_83]) ).

cnf(c_0_85,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk27_2(esk2_0,esk1_0)),v_L)
    | esk1_0 = v_x
    | esk5_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_84,c_0_16]) ).

cnf(c_0_86,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk27_2(esk2_0,esk1_0)),v_L)
    | esk2_0 = v_x
    | esk5_0 = v_x
    | esk1_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_85]) ).

cnf(c_0_87,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk2_0),v_L)
    | esk1_0 = v_x
    | esk5_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_84,c_0_19]) ).

cnf(c_0_88,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk27_2(esk2_0,esk1_0)),v_L)
    | esk1_0 = v_x
    | esk5_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_89,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk2_0 = v_x
    | esk5_0 = v_x
    | esk1_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_88]),c_0_84]) ).

cnf(c_0_90,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)
    | esk1_0 = v_x
    | esk5_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_89]) ).

cnf(c_0_91,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,v_y),v_L)
    | esk2_0 = v_x
    | esk5_0 = v_x
    | esk1_0 = v_x ),
    inference(spm,[status(thm)],[c_0_90,c_0_87]) ).

cnf(c_0_92,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk27_2(X1,esk1_0)),v_L)
    | epred1_2(esk1_0,X1)
    | X1 = v_x
    | esk1_0 = v_x
    | esk5_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_28,c_0_91]) ).

cnf(c_0_93,hypothesis,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk27_2(esk2_0,esk1_0)),v_L)
    | esk1_0 = v_x
    | esk5_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_84,c_0_92]) ).

cnf(c_0_94,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk27_2(esk2_0,esk1_0)),v_L)
    | esk2_0 = v_x
    | esk5_0 = v_x
    | esk1_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_93]) ).

cnf(c_0_95,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk27_2(X2,X1)),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,X1),v_L)
    | epred1_2(X1,X2)
    | X2 = v_x
    | X1 = v_y ),
    inference(spm,[status(thm)],[c_0_32,c_0_11]) ).

cnf(c_0_96,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk27_2(esk2_0,esk1_0)),v_L)
    | esk1_0 = v_x
    | esk5_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_94,c_0_87]) ).

fof(c_0_97,hypothesis,
    v_x != v_y,
    inference(fof_simplification,[status(thm)],[conj_0]) ).

cnf(c_0_98,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
    | esk4_0 != v_x
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk3_0 = v_x
    | esk5_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_99,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
    | esk4_0 != v_x
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk3_0 = v_x
    | esk5_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_100,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk5_0 != v_y
    | esk4_0 != v_x
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk3_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_101,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)
    | esk1_0 = v_x
    | esk5_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_91]) ).

cnf(c_0_102,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk1_0),v_L)
    | esk1_0 = v_y
    | esk2_0 = v_x
    | esk5_0 = v_x
    | esk1_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_84]) ).

fof(c_0_103,hypothesis,
    v_x != v_y,
    inference(fof_nnf,[status(thm)],[c_0_97]) ).

cnf(c_0_104,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk3_0 = v_x
    | esk5_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_98,c_0_78]) ).

cnf(c_0_105,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk3_0 = v_x
    | esk5_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_99,c_0_78]) ).

cnf(c_0_106,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk5_0 != v_y
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk3_0 = v_x
    | esk2_0 = v_x
    | esk5_0 = v_x ),
    inference(spm,[status(thm)],[c_0_100,c_0_78]) ).

cnf(c_0_107,hypothesis,
    ( esk2_0 = v_x
    | esk5_0 = v_x
    | esk1_0 = v_x
    | esk1_0 = v_y ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_69]) ).

cnf(c_0_108,hypothesis,
    v_x != v_y,
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_109,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
    | esk4_0 != v_x
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
    | esk5_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_110,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
    | esk4_0 != v_x
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
    | esk5_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_111,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk5_0 != v_y
    | esk4_0 != v_x
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_112,hypothesis,
    ( ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk2_0 = v_x
    | esk5_0 = v_x
    | esk3_0 = v_x ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_11]),c_0_105]),c_0_106]) ).

cnf(c_0_113,plain,
    ( esk5_0 = v_x
    | esk2_0 = v_x
    | esk1_0 = v_x ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_107]),c_0_108]),c_0_69]) ).

cnf(c_0_114,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
    | esk5_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_109,c_0_78]) ).

cnf(c_0_115,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
    | esk5_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_110,c_0_78]) ).

cnf(c_0_116,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk5_0 != v_y
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
    | esk2_0 = v_x
    | esk5_0 = v_x ),
    inference(spm,[status(thm)],[c_0_111,c_0_78]) ).

cnf(c_0_117,hypothesis,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk3_0 = v_x
    | esk5_0 = v_x
    | esk2_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_43])]) ).

cnf(c_0_118,hypothesis,
    ( ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
    | esk2_0 = v_x
    | esk5_0 = v_x ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_11]),c_0_115]),c_0_116]) ).

cnf(c_0_119,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
    | esk4_0 != v_x
    | esk3_0 = v_x
    | esk5_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_120,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk3_0),v_L)
    | esk2_0 = v_x
    | esk5_0 = v_x
    | esk3_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_117]) ).

cnf(c_0_121,hypothesis,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
    | esk5_0 = v_x
    | esk2_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_113]),c_0_43])]) ).

cnf(c_0_122,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
    | esk4_0 != v_x
    | esk3_0 = v_x
    | esk5_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_123,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | esk3_0 = v_x
    | esk5_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_119,c_0_78]) ).

cnf(c_0_124,hypothesis,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
    | esk3_0 = v_x
    | esk5_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_125,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | esk3_0 = v_x
    | esk5_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_122,c_0_78]) ).

cnf(c_0_126,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | esk2_0 = v_x
    | esk5_0 = v_x
    | esk3_0 = v_x ),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_127,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | esk2_0 = v_x
    | esk5_0 = v_x
    | esk3_0 = v_x ),
    inference(spm,[status(thm)],[c_0_125,c_0_124]) ).

cnf(c_0_128,hypothesis,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk3_0 = v_x
    | esk5_0 = v_x
    | esk2_0 = v_x
    | esk5_0 = v_y ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_11]),c_0_127]) ).

cnf(c_0_129,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk3_0 != v_x
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
    | esk4_0 != v_x
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk5_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_130,plain,
    ( esk5_0 = v_y
    | esk2_0 = v_x
    | esk5_0 = v_x
    | esk3_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_113]),c_0_43])]) ).

cnf(c_0_131,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk3_0 != v_x
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
    | esk4_0 != v_x
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk5_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_132,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk5_0 = v_x
    | esk2_0 = v_x
    | esk5_0 = v_y ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_78]) ).

cnf(c_0_133,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk5_0 = v_x
    | esk2_0 = v_x
    | esk5_0 = v_y ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_130]),c_0_78]) ).

cnf(c_0_134,hypothesis,
    ( ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk5_0 = v_y
    | esk2_0 = v_x
    | esk5_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_11]),c_0_133]) ).

cnf(c_0_135,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
    | esk5_0 != v_y
    | esk4_0 != v_x
    | esk3_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_136,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | esk2_0 = v_x
    | esk5_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_121]) ).

cnf(c_0_137,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk5_0 = v_x
    | esk2_0 = v_x
    | esk5_0 = v_y ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_113]),c_0_43])]) ).

cnf(c_0_138,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | esk5_0 != v_y
    | esk3_0 = v_x
    | esk2_0 = v_x
    | esk5_0 = v_x ),
    inference(spm,[status(thm)],[c_0_135,c_0_78]) ).

cnf(c_0_139,hypothesis,
    ( esk5_0 = v_x
    | esk2_0 = v_x
    | esk5_0 = v_y ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_69]) ).

cnf(c_0_140,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk2_0 = v_x
    | esk3_0 = v_x
    | esk5_0 = v_x ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_108]),c_0_124]) ).

cnf(c_0_141,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk3_0 != v_x
    | esk5_0 != v_y
    | esk4_0 != v_x
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_142,plain,
    ( esk5_0 = v_x
    | esk3_0 = v_x
    | esk2_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_113]),c_0_43])]) ).

cnf(c_0_143,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk2_0 = v_x
    | esk5_0 = v_x ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_139]),c_0_78]) ).

cnf(c_0_144,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk5_0 = v_x
    | esk2_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_113]),c_0_43])]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
    | esk5_0 != v_x
    | esk1_0 = v_x
    | esk4_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_146,hypothesis,
    ( esk5_0 = v_x
    | esk2_0 = v_x ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_144]),c_0_69]) ).

cnf(c_0_147,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
    | esk5_0 != v_x
    | esk1_0 = v_x
    | esk4_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_148,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | esk1_0 = v_x
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_149,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | esk1_0 = v_x
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_147,c_0_146]) ).

cnf(c_0_150,hypothesis,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk2_0 = v_x
    | esk4_0 = v_x
    | esk1_0 = v_x
    | esk4_0 = v_y ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_11]),c_0_149]) ).

cnf(c_0_151,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk27_2(esk2_0,esk1_0)),v_L)
    | esk4_0 = v_y
    | esk1_0 = v_x
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_150,c_0_16]) ).

cnf(c_0_152,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk27_2(esk2_0,esk1_0)),v_L)
    | esk2_0 = v_x
    | esk4_0 = v_x
    | esk1_0 = v_x
    | esk4_0 = v_y ),
    inference(spm,[status(thm)],[c_0_17,c_0_151]) ).

cnf(c_0_153,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk2_0),v_L)
    | esk4_0 = v_y
    | esk1_0 = v_x
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_150,c_0_19]) ).

cnf(c_0_154,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk27_2(esk2_0,esk1_0)),v_L)
    | esk4_0 = v_y
    | esk1_0 = v_x
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_155,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk2_0 = v_x
    | esk4_0 = v_x
    | esk1_0 = v_x
    | esk4_0 = v_y ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_154]),c_0_150]) ).

cnf(c_0_156,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)
    | esk4_0 = v_y
    | esk1_0 = v_x
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_155]) ).

cnf(c_0_157,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,v_y),v_L)
    | esk2_0 = v_x
    | esk4_0 = v_x
    | esk1_0 = v_x
    | esk4_0 = v_y ),
    inference(spm,[status(thm)],[c_0_156,c_0_153]) ).

cnf(c_0_158,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk27_2(X1,esk1_0)),v_L)
    | epred1_2(esk1_0,X1)
    | X1 = v_x
    | esk4_0 = v_y
    | esk1_0 = v_x
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_28,c_0_157]) ).

cnf(c_0_159,hypothesis,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk27_2(esk2_0,esk1_0)),v_L)
    | esk4_0 = v_y
    | esk1_0 = v_x
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_150,c_0_158]) ).

cnf(c_0_160,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk27_2(esk2_0,esk1_0)),v_L)
    | esk2_0 = v_x
    | esk4_0 = v_x
    | esk1_0 = v_x
    | esk4_0 = v_y ),
    inference(spm,[status(thm)],[c_0_17,c_0_159]) ).

cnf(c_0_161,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk27_2(esk2_0,esk1_0)),v_L)
    | esk4_0 = v_y
    | esk1_0 = v_x
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_160,c_0_153]) ).

cnf(c_0_162,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
    | esk5_0 != v_x
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk3_0 = v_x
    | esk4_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_163,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
    | esk5_0 != v_x
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk3_0 = v_x
    | esk4_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_164,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)
    | esk4_0 = v_y
    | esk1_0 = v_x
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_157]) ).

cnf(c_0_165,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk1_0),v_L)
    | esk1_0 = v_y
    | esk2_0 = v_x
    | esk4_0 = v_x
    | esk1_0 = v_x
    | esk4_0 = v_y ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_161]),c_0_150]) ).

cnf(c_0_166,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk3_0 = v_x
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_162,c_0_146]) ).

cnf(c_0_167,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk3_0 = v_x
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_163,c_0_146]) ).

cnf(c_0_168,hypothesis,
    ( esk2_0 = v_x
    | esk4_0 = v_x
    | esk1_0 = v_x
    | esk4_0 = v_y
    | esk1_0 = v_y ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_69]) ).

cnf(c_0_169,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
    | esk5_0 != v_x
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
    | esk4_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_170,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
    | esk5_0 != v_x
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
    | esk4_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_171,hypothesis,
    ( ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk2_0 = v_x
    | esk4_0 = v_x
    | esk3_0 = v_x
    | esk4_0 = v_y ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_11]),c_0_167]) ).

cnf(c_0_172,plain,
    ( esk4_0 = v_y
    | esk4_0 = v_x
    | esk2_0 = v_x
    | esk1_0 = v_x ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_168]),c_0_108]),c_0_69]) ).

cnf(c_0_173,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_169,c_0_146]) ).

cnf(c_0_174,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_170,c_0_146]) ).

cnf(c_0_175,hypothesis,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk4_0 = v_y
    | esk3_0 = v_x
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_43])]) ).

cnf(c_0_176,hypothesis,
    ( ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
    | esk2_0 = v_x
    | esk4_0 = v_x
    | esk4_0 = v_y ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_11]),c_0_174]) ).

cnf(c_0_177,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
    | esk5_0 != v_x
    | esk3_0 = v_x
    | esk4_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_178,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk3_0),v_L)
    | esk2_0 = v_x
    | esk4_0 = v_x
    | esk3_0 = v_x
    | esk4_0 = v_y ),
    inference(spm,[status(thm)],[c_0_17,c_0_175]) ).

cnf(c_0_179,hypothesis,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
    | esk4_0 = v_y
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_172]),c_0_43])]) ).

cnf(c_0_180,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
    | esk5_0 != v_x
    | esk3_0 = v_x
    | esk4_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_181,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | esk3_0 = v_x
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_177,c_0_146]) ).

cnf(c_0_182,hypothesis,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
    | esk4_0 = v_y
    | esk3_0 = v_x
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_183,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | esk3_0 = v_x
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_180,c_0_146]) ).

cnf(c_0_184,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | esk2_0 = v_x
    | esk4_0 = v_x
    | esk3_0 = v_x
    | esk4_0 = v_y ),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_185,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | esk2_0 = v_x
    | esk4_0 = v_x
    | esk3_0 = v_x
    | esk4_0 = v_y ),
    inference(spm,[status(thm)],[c_0_183,c_0_182]) ).

cnf(c_0_186,hypothesis,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk4_0 = v_y
    | esk3_0 = v_x
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_11]),c_0_185]) ).

cnf(c_0_187,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk3_0 != v_x
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
    | esk5_0 != v_x
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk4_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_188,plain,
    ( esk2_0 = v_x
    | esk4_0 = v_x
    | esk3_0 = v_x
    | esk4_0 = v_y ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_172]),c_0_43])]) ).

cnf(c_0_189,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk3_0 != v_x
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
    | esk5_0 != v_x
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk4_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_190,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk4_0 = v_x
    | esk4_0 = v_y
    | esk2_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_146]) ).

cnf(c_0_191,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk4_0 = v_x
    | esk4_0 = v_y
    | esk2_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_188]),c_0_146]) ).

cnf(c_0_192,hypothesis,
    ( ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk2_0 = v_x
    | esk4_0 = v_y
    | esk4_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_11]),c_0_191]) ).

cnf(c_0_193,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | esk2_0 = v_x
    | esk4_0 = v_x
    | esk4_0 = v_y ),
    inference(spm,[status(thm)],[c_0_17,c_0_179]) ).

cnf(c_0_194,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk4_0 = v_x
    | esk4_0 = v_y
    | esk2_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_172]),c_0_43])]) ).

cnf(c_0_195,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk4_0 != v_y
    | esk5_0 != v_x
    | esk1_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_196,hypothesis,
    ( esk4_0 = v_y
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_69]) ).

cnf(c_0_197,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk1_0 = v_x
    | esk2_0 = v_x
    | esk4_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_146]) ).

cnf(c_0_198,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk27_2(esk2_0,esk1_0)),v_L)
    | esk4_0 = v_x
    | esk2_0 = v_x
    | esk1_0 = v_x ),
    inference(spm,[status(thm)],[c_0_197,c_0_16]) ).

cnf(c_0_199,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk27_2(esk2_0,esk1_0)),v_L)
    | esk1_0 = v_x
    | esk2_0 = v_x
    | esk4_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_198]) ).

cnf(c_0_200,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk2_0),v_L)
    | esk4_0 = v_x
    | esk2_0 = v_x
    | esk1_0 = v_x ),
    inference(spm,[status(thm)],[c_0_197,c_0_19]) ).

cnf(c_0_201,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk27_2(esk2_0,esk1_0)),v_L)
    | esk4_0 = v_x
    | esk2_0 = v_x
    | esk1_0 = v_x ),
    inference(spm,[status(thm)],[c_0_199,c_0_200]) ).

cnf(c_0_202,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk2_0 = v_x
    | esk1_0 = v_x
    | esk4_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_201]),c_0_197]) ).

cnf(c_0_203,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)
    | esk4_0 = v_x
    | esk1_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_202]) ).

cnf(c_0_204,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,v_y),v_L)
    | esk2_0 = v_x
    | esk1_0 = v_x
    | esk4_0 = v_x ),
    inference(spm,[status(thm)],[c_0_203,c_0_200]) ).

cnf(c_0_205,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk27_2(X1,esk1_0)),v_L)
    | epred1_2(esk1_0,X1)
    | X1 = v_x
    | esk4_0 = v_x
    | esk1_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_28,c_0_204]) ).

cnf(c_0_206,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk27_2(esk2_0,esk1_0)),v_L)
    | esk4_0 = v_x
    | esk2_0 = v_x
    | esk1_0 = v_x ),
    inference(spm,[status(thm)],[c_0_197,c_0_205]) ).

cnf(c_0_207,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk27_2(esk2_0,esk1_0)),v_L)
    | esk1_0 = v_x
    | esk2_0 = v_x
    | esk4_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_206]) ).

cnf(c_0_208,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk27_2(esk2_0,esk1_0)),v_L)
    | esk4_0 = v_x
    | esk2_0 = v_x
    | esk1_0 = v_x ),
    inference(spm,[status(thm)],[c_0_207,c_0_200]) ).

cnf(c_0_209,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk1_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)
    | esk4_0 = v_x
    | esk1_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_204]) ).

cnf(c_0_210,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk1_0),v_L)
    | esk1_0 = v_y
    | esk2_0 = v_x
    | esk1_0 = v_x
    | esk4_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_208]),c_0_197]) ).

cnf(c_0_211,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk4_0 != v_y
    | esk5_0 != v_x
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk3_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_212,hypothesis,
    ( esk2_0 = v_x
    | esk1_0 = v_x
    | esk4_0 = v_x
    | esk1_0 = v_y ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_69]) ).

cnf(c_0_213,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk3_0 = v_x
    | esk2_0 = v_x
    | esk4_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_196]),c_0_146]) ).

cnf(c_0_214,plain,
    ( esk4_0 = v_x
    | esk2_0 = v_x
    | esk1_0 = v_x ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_212]),c_0_108]),c_0_69]) ).

cnf(c_0_215,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk4_0 != v_y
    | esk5_0 != v_x
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_216,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk4_0 = v_x
    | esk2_0 = v_x
    | esk3_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_43])]) ).

cnf(c_0_217,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
    | esk2_0 = v_x
    | esk4_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_196]),c_0_146]) ).

cnf(c_0_218,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
    | esk4_0 != v_y
    | esk5_0 != v_x
    | esk3_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_219,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk3_0),v_L)
    | esk3_0 = v_x
    | esk2_0 = v_x
    | esk4_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_216]) ).

cnf(c_0_220,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_214]),c_0_43])]) ).

cnf(c_0_221,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | esk3_0 = v_x
    | esk2_0 = v_x
    | esk4_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_196]),c_0_146]) ).

cnf(c_0_222,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
    | esk4_0 = v_x
    | esk2_0 = v_x
    | esk3_0 = v_x ),
    inference(spm,[status(thm)],[c_0_219,c_0_220]) ).

cnf(c_0_223,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk4_0 = v_x
    | esk2_0 = v_x
    | esk3_0 = v_x ),
    inference(spm,[status(thm)],[c_0_221,c_0_222]) ).

cnf(c_0_224,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk3_0 != v_x
    | esk4_0 != v_y
    | esk5_0 != v_x
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_225,plain,
    ( esk3_0 = v_x
    | esk2_0 = v_x
    | esk4_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_214]),c_0_43])]) ).

cnf(c_0_226,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_146]),c_0_196]) ).

cnf(c_0_227,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | esk2_0 = v_x
    | esk4_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_220]) ).

cnf(c_0_228,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk2_0 = v_x
    | esk4_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_214]),c_0_43])]) ).

cnf(c_0_229,hypothesis,
    ( esk4_0 = v_x
    | esk2_0 = v_x ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_69]) ).

cnf(c_0_230,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk1_0 = v_x
    | esk2_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_229]),c_0_146]) ).

cnf(c_0_231,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk27_2(esk2_0,esk1_0)),v_L)
    | esk2_0 = v_x
    | esk1_0 = v_x ),
    inference(spm,[status(thm)],[c_0_230,c_0_16]) ).

cnf(c_0_232,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk27_2(esk2_0,esk1_0)),v_L)
    | esk1_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_231]) ).

cnf(c_0_233,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk2_0),v_L)
    | esk2_0 = v_x
    | esk1_0 = v_x ),
    inference(spm,[status(thm)],[c_0_230,c_0_19]) ).

cnf(c_0_234,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk27_2(esk2_0,esk1_0)),v_L)
    | esk2_0 = v_x
    | esk1_0 = v_x ),
    inference(spm,[status(thm)],[c_0_232,c_0_233]) ).

cnf(c_0_235,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk2_0 = v_x
    | esk1_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_234]),c_0_230]) ).

cnf(c_0_236,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)
    | esk1_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_235]) ).

cnf(c_0_237,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,v_y),v_L)
    | esk2_0 = v_x
    | esk1_0 = v_x ),
    inference(spm,[status(thm)],[c_0_236,c_0_233]) ).

cnf(c_0_238,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk27_2(X1,esk1_0)),v_L)
    | epred1_2(esk1_0,X1)
    | X1 = v_x
    | esk1_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_28,c_0_237]) ).

cnf(c_0_239,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk27_2(esk2_0,esk1_0)),v_L)
    | esk2_0 = v_x
    | esk1_0 = v_x ),
    inference(spm,[status(thm)],[c_0_230,c_0_238]) ).

cnf(c_0_240,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk27_2(esk2_0,esk1_0)),v_L)
    | esk1_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_239]) ).

cnf(c_0_241,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk27_2(X1,esk1_0)),v_L)
    | epred1_2(esk1_0,X1)
    | X1 = v_x
    | esk1_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_32,c_0_237]) ).

cnf(c_0_242,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk27_2(esk2_0,esk1_0)),v_L)
    | esk2_0 = v_x
    | esk1_0 = v_x ),
    inference(spm,[status(thm)],[c_0_240,c_0_233]) ).

cnf(c_0_243,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk3_0 = v_x
    | esk2_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_229]),c_0_146]) ).

cnf(c_0_244,plain,
    ( esk2_0 = v_x
    | esk1_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_230]) ).

cnf(c_0_245,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk3_0),v_L)
    | esk2_0 = v_x
    | esk3_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_43])]) ).

cnf(c_0_246,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
    | esk2_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_229]),c_0_146]) ).

cnf(c_0_247,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk3_0),v_L)
    | esk3_0 = v_x
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_245]) ).

cnf(c_0_248,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk2_0),v_L)
    | esk2_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_244]),c_0_43])]) ).

cnf(c_0_249,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
    | ~ epred1_2(esk1_0,esk2_0)
    | esk3_0 = v_x
    | esk2_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_229]),c_0_146]) ).

cnf(c_0_250,negated_conjecture,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk3_0),v_L)
    | esk2_0 = v_x
    | esk3_0 = v_x ),
    inference(spm,[status(thm)],[c_0_247,c_0_248]) ).

cnf(c_0_251,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk2_0 = v_x
    | esk3_0 = v_x ),
    inference(spm,[status(thm)],[c_0_249,c_0_250]) ).

cnf(c_0_252,plain,
    ( esk3_0 = v_x
    | esk2_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_244]),c_0_43])]) ).

cnf(c_0_253,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk2_0 != v_x
    | esk4_0 != esk5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_254,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk4_0 != esk5_0
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_252]),c_0_253]) ).

cnf(c_0_255,hypothesis,
    ( ~ epred1_2(esk1_0,esk2_0)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk2_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_229]),c_0_146]) ).

cnf(c_0_256,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk2_0),v_L)
    | esk2_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_248]) ).

cnf(c_0_257,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_y),v_L)
    | esk2_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_244]),c_0_43])]) ).

cnf(c_0_258,hypothesis,
    esk2_0 = v_x,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_69]) ).

cnf(c_0_259,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,esk5_0),v_L)
    | ~ epred1_2(esk1_0,v_x)
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_258]),c_0_258])]) ).

cnf(c_0_260,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,esk4_0),v_L)
    | ~ epred1_2(esk1_0,v_x)
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_258]),c_0_258])]) ).

cnf(c_0_261,negated_conjecture,
    ( ~ epred1_2(esk1_0,v_x)
    | esk4_0 != esk5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_253,c_0_258]),c_0_258])]) ).

cnf(c_0_262,plain,
    ( X1 != v_x
    | epred1_2(X2,X1)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk29_2(X1,X2)),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_263,hypothesis,
    ( ~ epred1_2(esk1_0,v_x)
    | esk5_0 = v_x
    | esk4_0 = v_x ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_11]),c_0_260]),c_0_261]) ).

cnf(c_0_264,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk29_2(v_x,X1)),v_L)
    | epred1_2(X1,v_x) ),
    inference(er,[status(thm)],[c_0_262]) ).

cnf(c_0_265,plain,
    ( X2 != v_x
    | epred1_2(X1,X2)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_266,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk29_2(v_x,esk1_0)),v_L)
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(spm,[status(thm)],[c_0_263,c_0_264]) ).

cnf(c_0_267,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)
    | epred1_2(X1,v_x) ),
    inference(er,[status(thm)],[c_0_265]) ).

cnf(c_0_268,plain,
    ( X2 != v_x
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk29_2(X2,X1)),v_L)
    | epred1_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_269,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk29_2(v_x,esk1_0)),v_L)
    | esk5_0 = v_x
    | esk4_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_266]) ).

cnf(c_0_270,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,v_y),v_L)
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(spm,[status(thm)],[c_0_263,c_0_267]) ).

cnf(c_0_271,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk2_0 != v_x
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
    | esk4_0 != v_x
    | esk5_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_272,plain,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk29_2(v_x,X1)),v_L)
    | epred1_2(X1,v_x) ),
    inference(er,[status(thm)],[c_0_268]) ).

cnf(c_0_273,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk29_2(v_x,esk1_0)),v_L)
    | esk4_0 = v_x
    | esk5_0 = v_x ),
    inference(spm,[status(thm)],[c_0_269,c_0_270]) ).

cnf(c_0_274,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk2_0 != v_x
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
    | esk4_0 != v_x
    | esk5_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_275,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk2_0 != v_x
    | esk5_0 != v_y
    | esk4_0 != v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_276,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
    | ~ epred1_2(esk1_0,v_x)
    | esk4_0 != v_x
    | esk5_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_258]),c_0_258])]) ).

cnf(c_0_277,plain,
    ( esk5_0 = v_x
    | esk4_0 = v_x ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_263]) ).

cnf(c_0_278,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
    | ~ epred1_2(esk1_0,v_x)
    | esk4_0 != v_x
    | esk5_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_274,c_0_258]),c_0_258])]) ).

cnf(c_0_279,negated_conjecture,
    ( ~ epred1_2(esk1_0,v_x)
    | esk5_0 != v_y
    | esk4_0 != v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_258]),c_0_258])]) ).

cnf(c_0_280,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_0,v_y),v_L)
    | ~ epred1_2(esk1_0,v_x)
    | esk5_0 = v_x ),
    inference(spm,[status(thm)],[c_0_276,c_0_277]) ).

cnf(c_0_281,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk5_0),v_L)
    | ~ epred1_2(esk1_0,v_x)
    | esk5_0 = v_x ),
    inference(spm,[status(thm)],[c_0_278,c_0_277]) ).

cnf(c_0_282,negated_conjecture,
    ( ~ epred1_2(esk1_0,v_x)
    | esk5_0 != v_y
    | esk5_0 = v_x ),
    inference(spm,[status(thm)],[c_0_279,c_0_277]) ).

cnf(c_0_283,hypothesis,
    ( ~ epred1_2(esk1_0,v_x)
    | esk5_0 = v_x ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_11]),c_0_281]),c_0_282]) ).

cnf(c_0_284,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk29_2(v_x,esk1_0)),v_L)
    | esk5_0 = v_x ),
    inference(spm,[status(thm)],[c_0_283,c_0_264]) ).

cnf(c_0_285,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk29_2(v_x,esk1_0)),v_L)
    | esk5_0 = v_x ),
    inference(spm,[status(thm)],[c_0_17,c_0_284]) ).

cnf(c_0_286,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,v_y),v_L)
    | esk5_0 = v_x ),
    inference(spm,[status(thm)],[c_0_283,c_0_267]) ).

cnf(c_0_287,plain,
    ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk29_2(v_x,esk1_0)),v_L)
    | esk5_0 = v_x ),
    inference(spm,[status(thm)],[c_0_285,c_0_286]) ).

cnf(c_0_288,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk2_0 != v_x
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
    | esk5_0 != v_x
    | esk4_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_289,plain,
    esk5_0 = v_x,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_287]),c_0_283]) ).

cnf(c_0_290,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk2_0 != v_x
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
    | esk5_0 != v_x
    | esk4_0 = v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_291,negated_conjecture,
    ( ~ epred1_2(esk1_0,esk2_0)
    | esk2_0 != v_x
    | esk4_0 != v_y
    | esk5_0 != v_x ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_292,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
    | ~ epred1_2(esk1_0,v_x)
    | esk5_0 != v_x
    | esk4_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_288,c_0_258]),c_0_258])]) ).

cnf(c_0_293,negated_conjecture,
    ( ~ epred1_2(esk1_0,v_x)
    | esk4_0 != v_x ),
    inference(rw,[status(thm)],[c_0_261,c_0_289]) ).

cnf(c_0_294,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
    | ~ epred1_2(esk1_0,v_x)
    | esk5_0 != v_x
    | esk4_0 = v_x ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_290,c_0_258]),c_0_258])]) ).

cnf(c_0_295,negated_conjecture,
    ( ~ epred1_2(esk1_0,v_x)
    | esk5_0 != v_x
    | esk4_0 != v_y ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_291,c_0_258]),c_0_258])]) ).

cnf(c_0_296,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_0,v_y),v_L)
    | ~ epred1_2(esk1_0,v_x) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_292,c_0_289])]),c_0_293]) ).

cnf(c_0_297,negated_conjecture,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk4_0),v_L)
    | ~ epred1_2(esk1_0,v_x) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_294,c_0_289])]),c_0_293]) ).

cnf(c_0_298,negated_conjecture,
    ( ~ epred1_2(esk1_0,v_x)
    | esk4_0 != v_y ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_295,c_0_289])]) ).

cnf(c_0_299,hypothesis,
    ~ epred1_2(esk1_0,v_x),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_11]),c_0_297]),c_0_298]) ).

cnf(c_0_300,plain,
    c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_y,esk29_2(v_x,esk1_0)),v_L),
    inference(spm,[status(thm)],[c_0_299,c_0_264]) ).

cnf(c_0_301,hypothesis,
    ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_y),v_L)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk29_2(v_x,esk1_0)),v_L) ),
    inference(spm,[status(thm)],[c_0_17,c_0_300]) ).

cnf(c_0_302,plain,
    c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,v_y),v_L),
    inference(spm,[status(thm)],[c_0_299,c_0_267]) ).

cnf(c_0_303,plain,
    c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk29_2(v_x,esk1_0)),v_L),
    inference(spm,[status(thm)],[c_0_301,c_0_302]) ).

cnf(c_0_304,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_303]),c_0_299]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SCT115+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.35  % Computer : n006.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 04:32:42 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.42  Running first-order theorem proving
% 0.14/0.43  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 245.35/36.18  % Version: 3.5.1
% 245.35/36.18  % Preprocessing class: FSLSSMSMSSSNFFN.
% 245.35/36.18  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 245.35/36.18  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 245.35/36.18  % Starting new_bool_3 with 300s (1) cores
% 245.35/36.18  % Starting new_bool_1 with 300s (1) cores
% 245.35/36.18  % Starting sh5l with 300s (1) cores
% 245.35/36.18  % new_bool_3 with pid 2009487 completed with status 0
% 245.35/36.18  % Result found by new_bool_3
% 245.35/36.18  % Preprocessing class: FSLSSMSMSSSNFFN.
% 245.35/36.18  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 245.35/36.18  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 245.35/36.18  % Starting new_bool_3 with 300s (1) cores
% 245.35/36.18  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 245.35/36.18  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 245.35/36.18  % Search class: FGHSM-FSLF33-MFFFFFNN
% 245.35/36.18  % partial match(1): FGHSM-FSLM33-MFFFFFNN
% 245.35/36.18  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 245.35/36.18  % Starting SubtermCWHack with 31s (1) cores
% 245.35/36.18  % SubtermCWHack with pid 2009490 completed with status 8
% 245.35/36.18  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 90s (1) cores
% 245.35/36.18  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 2009503 completed with status 0
% 245.35/36.18  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 245.35/36.18  % Preprocessing class: FSLSSMSMSSSNFFN.
% 245.35/36.18  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 245.35/36.18  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 245.35/36.18  % Starting new_bool_3 with 300s (1) cores
% 245.35/36.18  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 245.35/36.18  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 245.35/36.18  % Search class: FGHSM-FSLF33-MFFFFFNN
% 245.35/36.18  % partial match(1): FGHSM-FSLM33-MFFFFFNN
% 245.35/36.18  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 245.35/36.18  % Starting SubtermCWHack with 31s (1) cores
% 245.35/36.18  % SubtermCWHack with pid 2009490 completed with status 8
% 245.35/36.18  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 90s (1) cores
% 245.35/36.18  % Preprocessing time       : 0.010 s
% 245.35/36.18  % Presaturation interreduction done
% 245.35/36.18  
% 245.35/36.18  % Proof found!
% 245.35/36.18  % SZS status Theorem
% 245.35/36.18  % SZS output start CNFRefutation
% See solution above
% 245.35/36.18  % Parsed axioms                        : 528
% 245.35/36.18  % Removed by relevancy pruning/SinE    : 410
% 245.35/36.18  % Initial clauses                      : 334
% 245.35/36.18  % Removed in clause preprocessing      : 25
% 245.35/36.18  % Initial clauses in saturation        : 309
% 245.35/36.18  % Processed clauses                    : 9111
% 245.35/36.18  % ...of these trivial                  : 57
% 245.35/36.18  % ...subsumed                          : 5480
% 245.35/36.18  % ...remaining for further processing  : 3574
% 245.35/36.18  % Other redundant clauses eliminated   : 36
% 245.35/36.18  % Clauses deleted for lack of memory   : 0
% 245.35/36.18  % Backward-subsumed                    : 2373
% 245.35/36.18  % Backward-rewritten                   : 241
% 245.35/36.18  % Generated clauses                    : 64631
% 245.35/36.18  % ...of the previous two non-redundant : 62184
% 245.35/36.18  % ...aggressively subsumed             : 0
% 245.35/36.18  % Contextual simplify-reflections      : 99
% 245.35/36.18  % Paramodulations                      : 64581
% 245.35/36.18  % Factorizations                       : 14
% 245.35/36.18  % NegExts                              : 0
% 245.35/36.18  % Equation resolutions                 : 38
% 245.35/36.18  % Disequality decompositions           : 0
% 245.35/36.18  % Total rewrite steps                  : 20283
% 245.35/36.18  % ...of those cached                   : 18543
% 245.35/36.18  % Propositional unsat checks           : 0
% 245.35/36.18  %    Propositional check models        : 0
% 245.35/36.18  %    Propositional check unsatisfiable : 0
% 245.35/36.18  %    Propositional clauses             : 0
% 245.35/36.18  %    Propositional clauses after purity: 0
% 245.35/36.18  %    Propositional unsat core size     : 0
% 245.35/36.18  %    Propositional preprocessing time  : 0.000
% 245.35/36.18  %    Propositional encoding time       : 0.000
% 245.35/36.18  %    Propositional solver time         : 0.000
% 245.35/36.18  %    Success case prop preproc time    : 0.000
% 245.35/36.18  %    Success case prop encoding time   : 0.000
% 245.35/36.18  %    Success case prop solver time     : 0.000
% 245.35/36.18  % Current number of processed clauses  : 668
% 245.35/36.18  %    Positive orientable unit clauses  : 136
% 245.35/36.18  %    Positive unorientable unit clauses: 4
% 245.35/36.18  %    Negative unit clauses             : 60
% 245.35/36.18  %    Non-unit-clauses                  : 468
% 245.35/36.18  % Current number of unprocessed clauses: 49072
% 245.35/36.18  % ...number of literals in the above   : 223003
% 245.35/36.18  % Current number of archived formulas  : 0
% 245.35/36.18  % Current number of archived clauses   : 2875
% 245.35/36.18  % Clause-clause subsumption calls (NU) : 639448
% 245.35/36.18  % Rec. Clause-clause subsumption calls : 59189
% 245.35/36.18  % Non-unit clause-clause subsumptions  : 5831
% 245.35/36.18  % Unit Clause-clause subsumption calls : 5654
% 245.35/36.18  % Rewrite failures with RHS unbound    : 0
% 245.35/36.18  % BW rewrite match attempts            : 2983
% 245.35/36.18  % BW rewrite match successes           : 111
% 245.35/36.18  % Condensation attempts                : 0
% 245.35/36.18  % Condensation successes               : 0
% 245.35/36.18  % Termbank termtop insertions          : 1913617
% 245.35/36.18  % Search garbage collected termcells   : 6601
% 245.35/36.18  
% 245.35/36.18  % -------------------------------------------------
% 245.35/36.18  % User time                : 34.379 s
% 245.35/36.18  % System time              : 0.823 s
% 245.35/36.18  % Total time               : 35.203 s
% 245.35/36.18  % Maximum resident set size: 5108 pages
% 245.35/36.18  
% 245.35/36.18  % -------------------------------------------------
% 245.35/36.18  % User time                : 34.413 s
% 245.35/36.18  % System time              : 0.836 s
% 245.35/36.18  % Total time               : 35.249 s
% 245.35/36.18  % Maximum resident set size: 5632 pages
% 245.35/36.18  % E exiting
%------------------------------------------------------------------------------