TSTP Solution File: SCT105+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SCT105+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n031.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:16:36 EDT 2023

% Result   : Theorem 0.35s 0.68s
% Output   : CNFRefutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   47 (   4 unt;   0 def)
%            Number of atoms       :  282 (  42 equ)
%            Maximal formula atoms :   84 (   6 avg)
%            Number of connectives :  376 ( 141   ~; 204   |;  25   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-4 aty)
%            Number of variables   :   28 (   0 sgn;  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
    ( ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,X6] :
          ( X3 != X6
         => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,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,X6),v_L) ) ) )
  <=> ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,X6] :
          ( X3 != X6
         => ( c_member(tc_prod(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,X6),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,X6,X3),v_L) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.hFOyolWkpq/E---3.1_17044.p',conj_0) ).

fof(c_0_1,negated_conjecture,
    ~ ( ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,X6] :
            ( X3 != X6
           => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,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,X6),v_L) ) ) )
    <=> ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,X6] :
            ( X3 != X6
           => ( c_member(tc_prod(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,X6),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,X6,X3),v_L) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).

fof(c_0_2,negated_conjecture,
    ! [X98,X99,X100,X101,X102,X103] :
      ( ( esk5_0 != esk6_0
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,esk4_0),v_L)
        | esk2_0 != esk3_0
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,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,esk5_0,esk6_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,esk4_0),v_L)
        | esk2_0 != esk3_0
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,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,esk6_0,esk5_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,esk4_0),v_L)
        | esk2_0 != esk3_0
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,esk1_0),v_L) )
      & ( esk5_0 != esk6_0
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,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,esk3_0,esk2_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,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,esk5_0,esk6_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,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,esk3_0,esk2_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,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,esk6_0,esk5_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,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,esk3_0,esk2_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,esk1_0),v_L) )
      & ( esk5_0 != esk6_0
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,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)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,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,esk5_0,esk6_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,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)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,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,esk6_0,esk5_0),v_L)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,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)
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,esk1_0),v_L) )
      & ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
        | c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,X101,X101),v_L)
        | c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) )
      & ( X102 = X103
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X102,X103),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,X103,X102),v_L)
        | c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) )
      & ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,X98,X98),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,X101,X101),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,X98,X98),v_L) )
      & ( X102 = X103
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X102,X103),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,X103,X102),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,X98,X98),v_L) )
      & ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
        | X99 = X100
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X100,X99),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,X99,X100),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,X101,X101),v_L)
        | X99 = X100
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X100,X99),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,X99,X100),v_L) )
      & ( X102 = X103
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X102,X103),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,X103,X102),v_L)
        | X99 = X100
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X100,X99),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,X99,X100),v_L) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).

cnf(c_0_3,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,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,esk1_0,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,esk5_0,esk6_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,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,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,esk1_0,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,esk5_0,esk6_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,esk3_0,esk2_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,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,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,esk1_0,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,esk5_0,esk6_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | esk2_0 != esk3_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,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,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,esk1_0,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,esk6_0,esk5_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8,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,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,esk1_0,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,esk6_0,esk5_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,esk3_0,esk2_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9,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,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,esk1_0,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,esk6_0,esk5_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | esk2_0 != esk3_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10,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,esk1_0,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,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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)
    | ~ c_member(tc_prod(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,esk6_0),v_L) ),
    inference(cn,[status(thm)],[c_0_3]) ).

cnf(c_0_11,negated_conjecture,
    c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L),
    inference(cn,[status(thm)],[c_0_4]) ).

cnf(c_0_12,negated_conjecture,
    ( 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,X2,X1),v_L)
    | X3 = X4
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,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,X4),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_13,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,esk1_0,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,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,esk3_0,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,esk5_0,esk6_0),v_L) ),
    inference(cn,[status(thm)],[c_0_5]) ).

cnf(c_0_14,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,esk1_0,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,esk4_0,esk4_0),v_L)
    | esk3_0 != esk2_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,esk6_0),v_L) ),
    inference(cn,[status(thm)],[c_0_6]) ).

cnf(c_0_15,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,esk1_0,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,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk6_0,esk5_0),v_L) ),
    inference(cn,[status(thm)],[c_0_7]) ).

cnf(c_0_16,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,esk1_0,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,esk4_0,esk4_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,esk3_0,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,esk6_0,esk5_0),v_L) ),
    inference(cn,[status(thm)],[c_0_8]) ).

cnf(c_0_17,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,esk1_0,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,esk4_0,esk4_0),v_L)
    | esk3_0 != esk2_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,esk6_0,esk5_0),v_L) ),
    inference(cn,[status(thm)],[c_0_9]) ).

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,esk4_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,esk1_0,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,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,esk5_0,esk6_0),v_L) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).

cnf(c_0_19,negated_conjecture,
    ( 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,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) ),
    inference(ef,[status(thm)],[c_0_12]) ).

cnf(c_0_20,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,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,esk1_0,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,esk3_0,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,esk5_0,esk6_0),v_L) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_11])]) ).

cnf(c_0_21,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,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,esk1_0,esk1_0),v_L)
    | esk2_0 != esk3_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,esk6_0),v_L) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_11])]) ).

cnf(c_0_22,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,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,esk1_0,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,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,esk6_0,esk5_0),v_L) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_11])]) ).

cnf(c_0_23,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,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,esk1_0,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,esk3_0,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,esk6_0,esk5_0),v_L) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_11])]) ).

cnf(c_0_24,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,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,esk1_0,esk1_0),v_L)
    | esk2_0 != esk3_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,esk6_0,esk5_0),v_L) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_11])]) ).

cnf(c_0_25,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,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,esk1_0,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,esk5_0,esk6_0),v_L) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]) ).

cnf(c_0_26,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,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,esk1_0,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,esk6_0,esk5_0),v_L) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_19]),c_0_23]),c_0_24]) ).

cnf(c_0_27,negated_conjecture,
    ( esk5_0 = esk6_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,esk6_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,esk1_0,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,esk4_0,esk4_0),v_L) ),
    inference(spm,[status(thm)],[c_0_25,c_0_19]) ).

cnf(c_0_28,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,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,esk1_0,esk1_0),v_L)
    | esk5_0 != esk6_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_29,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,X1,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,X2,X2),v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_30,negated_conjecture,
    ( esk5_0 = esk6_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,esk1_0,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,esk4_0,esk4_0),v_L) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

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,esk4_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,esk1_0,esk1_0),v_L)
    | esk5_0 != esk6_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,esk3_0,esk2_0),v_L)
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_32,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,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,esk1_0,esk1_0),v_L)
    | esk5_0 != esk6_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
    | esk2_0 != esk3_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_33,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,esk1_0,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,esk4_0,esk4_0),v_L)
    | esk6_0 != esk5_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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) ),
    inference(cn,[status(thm)],[c_0_28]) ).

cnf(c_0_34,negated_conjecture,
    ( esk5_0 = esk6_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,X1,X1),v_L) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_29]) ).

cnf(c_0_35,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,esk1_0,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,esk4_0,esk4_0),v_L)
    | esk6_0 != esk5_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,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,esk3_0,esk2_0),v_L) ),
    inference(cn,[status(thm)],[c_0_31]) ).

cnf(c_0_36,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,esk1_0,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,esk4_0,esk4_0),v_L)
    | esk3_0 != esk2_0
    | esk6_0 != esk5_0
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
    inference(cn,[status(thm)],[c_0_32]) ).

cnf(c_0_37,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,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,esk1_0,esk1_0),v_L)
    | esk5_0 != esk6_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) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_11])]) ).

cnf(c_0_38,negated_conjecture,
    esk5_0 = esk6_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_30]),c_0_34]) ).

cnf(c_0_39,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,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,esk1_0,esk1_0),v_L)
    | esk5_0 != esk6_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,esk3_0,esk2_0),v_L) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_11])]) ).

cnf(c_0_40,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,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,esk1_0,esk1_0),v_L)
    | esk2_0 != esk3_0
    | esk5_0 != esk6_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_11])]) ).

cnf(c_0_41,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,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,esk1_0,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,esk2_0,esk3_0),v_L) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38])]) ).

cnf(c_0_42,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,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,esk1_0,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,esk3_0,esk2_0),v_L) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_38])]) ).

cnf(c_0_43,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,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,esk1_0,esk1_0),v_L)
    | esk2_0 != esk3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_38])]) ).

cnf(c_0_44,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,esk1_0,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,esk4_0,esk4_0),v_L) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_19]),c_0_42]),c_0_43]) ).

cnf(c_0_45,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,X1,X1),v_L),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_44]),c_0_29]) ).

cnf(c_0_46,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_44,c_0_45]),c_0_45]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.15  % Problem    : SCT105+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.16  % Command    : run_E %s %d THM
% 0.15/0.37  % Computer : n031.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 2400
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Mon Oct  2 12:08:28 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.21/0.52  Running first-order theorem proving
% 0.21/0.52  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/tmp/tmp.hFOyolWkpq/E---3.1_17044.p
% 0.35/0.68  # Version: 3.1pre001
% 0.35/0.68  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.35/0.68  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/0.68  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.35/0.68  # Starting new_bool_3 with 300s (1) cores
% 0.35/0.68  # Starting new_bool_1 with 300s (1) cores
% 0.35/0.68  # Starting sh5l with 300s (1) cores
% 0.35/0.68  # new_bool_1 with pid 17213 completed with status 0
% 0.35/0.68  # Result found by new_bool_1
% 0.35/0.68  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.35/0.68  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/0.68  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.35/0.68  # Starting new_bool_3 with 300s (1) cores
% 0.35/0.68  # Starting new_bool_1 with 300s (1) cores
% 0.35/0.68  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.35/0.68  # Search class: FGHSM-FSLF33-MFFFFFNN
% 0.35/0.68  # partial match(1): FGHSM-FSLM33-MFFFFFNN
% 0.35/0.68  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.35/0.68  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 81s (1) cores
% 0.35/0.68  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 17230 completed with status 0
% 0.35/0.68  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 0.35/0.68  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.35/0.68  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/0.68  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.35/0.68  # Starting new_bool_3 with 300s (1) cores
% 0.35/0.68  # Starting new_bool_1 with 300s (1) cores
% 0.35/0.68  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.35/0.68  # Search class: FGHSM-FSLF33-MFFFFFNN
% 0.35/0.68  # partial match(1): FGHSM-FSLM33-MFFFFFNN
% 0.35/0.68  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.35/0.68  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 81s (1) cores
% 0.35/0.68  # Preprocessing time       : 0.007 s
% 0.35/0.68  # Presaturation interreduction done
% 0.35/0.68  
% 0.35/0.68  # Proof found!
% 0.35/0.68  # SZS status Theorem
% 0.35/0.68  # SZS output start CNFRefutation
% See solution above
% 0.35/0.68  # Parsed axioms                        : 523
% 0.35/0.68  # Removed by relevancy pruning/SinE    : 284
% 0.35/0.68  # Initial clauses                      : 367
% 0.35/0.68  # Removed in clause preprocessing      : 20
% 0.35/0.68  # Initial clauses in saturation        : 347
% 0.35/0.68  # Processed clauses                    : 1334
% 0.35/0.68  # ...of these trivial                  : 21
% 0.35/0.68  # ...subsumed                          : 606
% 0.35/0.68  # ...remaining for further processing  : 707
% 0.35/0.68  # Other redundant clauses eliminated   : 43
% 0.35/0.68  # Clauses deleted for lack of memory   : 0
% 0.35/0.68  # Backward-subsumed                    : 24
% 0.35/0.68  # Backward-rewritten                   : 22
% 0.35/0.68  # Generated clauses                    : 3767
% 0.35/0.68  # ...of the previous two non-redundant : 3028
% 0.35/0.68  # ...aggressively subsumed             : 0
% 0.35/0.68  # Contextual simplify-reflections      : 18
% 0.35/0.68  # Paramodulations                      : 3698
% 0.35/0.68  # Factorizations                       : 18
% 0.35/0.68  # NegExts                              : 0
% 0.35/0.68  # Equation resolutions                 : 50
% 0.35/0.68  # Total rewrite steps                  : 1194
% 0.35/0.68  # Propositional unsat checks           : 0
% 0.35/0.68  #    Propositional check models        : 0
% 0.35/0.68  #    Propositional check unsatisfiable : 0
% 0.35/0.68  #    Propositional clauses             : 0
% 0.35/0.68  #    Propositional clauses after purity: 0
% 0.35/0.68  #    Propositional unsat core size     : 0
% 0.35/0.68  #    Propositional preprocessing time  : 0.000
% 0.35/0.68  #    Propositional encoding time       : 0.000
% 0.35/0.68  #    Propositional solver time         : 0.000
% 0.35/0.68  #    Success case prop preproc time    : 0.000
% 0.35/0.68  #    Success case prop encoding time   : 0.000
% 0.35/0.68  #    Success case prop solver time     : 0.000
% 0.35/0.68  # Current number of processed clauses  : 371
% 0.35/0.68  #    Positive orientable unit clauses  : 107
% 0.35/0.68  #    Positive unorientable unit clauses: 5
% 0.35/0.68  #    Negative unit clauses             : 36
% 0.35/0.68  #    Non-unit-clauses                  : 223
% 0.35/0.68  # Current number of unprocessed clauses: 2273
% 0.35/0.68  # ...number of literals in the above   : 5115
% 0.35/0.68  # Current number of archived formulas  : 0
% 0.35/0.68  # Current number of archived clauses   : 305
% 0.35/0.68  # Clause-clause subsumption calls (NU) : 11055
% 0.35/0.68  # Rec. Clause-clause subsumption calls : 9223
% 0.35/0.68  # Non-unit clause-clause subsumptions  : 325
% 0.35/0.68  # Unit Clause-clause subsumption calls : 555
% 0.35/0.68  # Rewrite failures with RHS unbound    : 34
% 0.35/0.68  # BW rewrite match attempts            : 894
% 0.35/0.68  # BW rewrite match successes           : 109
% 0.35/0.68  # Condensation attempts                : 0
% 0.35/0.68  # Condensation successes               : 0
% 0.35/0.68  # Termbank termtop insertions          : 96760
% 0.35/0.68  
% 0.35/0.68  # -------------------------------------------------
% 0.35/0.68  # User time                : 0.121 s
% 0.35/0.68  # System time              : 0.008 s
% 0.35/0.68  # Total time               : 0.129 s
% 0.35/0.68  # Maximum resident set size: 3508 pages
% 0.35/0.68  
% 0.35/0.68  # -------------------------------------------------
% 0.35/0.68  # User time                : 0.135 s
% 0.35/0.68  # System time              : 0.011 s
% 0.35/0.68  # Total time               : 0.146 s
% 0.35/0.68  # Maximum resident set size: 2388 pages
% 0.35/0.68  % E---3.1 exiting
% 0.35/0.68  % E---3.1 exiting
%------------------------------------------------------------------------------