%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SCT154+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:16:57 EDT 2022

% Result   : Theorem 6.26s 1.19s
% Output   : Refutation 6.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  271 (  10 unt;   0 def)
%            Number of atoms       : 1683 ( 318 equ)
%            Maximal formula atoms :   14 (   6 avg)
%            Number of connectives : 2173 ( 761   ~;1306   |;  26   &)
%                                         (  36 <=>;  37  =>;   0  <=;   7 <~>)
%            Maximal formula depth :   17 (   8 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  15 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;  11 con; 0-6 aty)
%            Number of variables   :  282 ( 267   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1678,plain,
    $false,
    inference(avatar_sat_refutation,[],[f647,f648,f722,f797,f849,f1018,f1021,f1069,f1132,f1133,f1194,f1203,f1281,f1366,f1379,f1400,f1469,f1594,f1595,f1602,f1609,f1677]) ).

fof(f1677,plain,
    ( spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | ~ spl5_19 ),
    inference(avatar_contradiction_clause,[],[f1676]) ).

fof(f1676,plain,
    ( $false
    | spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | ~ spl5_19 ),
    inference(subsumption_resolution,[],[f1675,f641]) ).

fof(f641,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_a____,v_b____),hAPP(v_F,v_P____))
    | spl5_1 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f640,plain,
    ( spl5_1
  <=> c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f1675,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_a____,v_b____),hAPP(v_F,v_P____))
    | spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | ~ spl5_19 ),
    inference(subsumption_resolution,[],[f1674,f1664]) ).

fof(f1664,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_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,v_P_H____,v_a____,v_b_H____,v_P____)))
    | spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | ~ spl5_19 ),
    inference(subsumption_resolution,[],[f1663,f1089]) ).

fof(f1089,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_b____,v_b_H____),hAPP(v_F,v_P_H____))
    | ~ spl5_19 ),
    inference(avatar_component_clause,[],[f1087]) ).

fof(f1087,plain,
    ( spl5_19
  <=> c_member(tc_prod(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_b____,v_b_H____),hAPP(v_F,v_P_H____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).

fof(f1663,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_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,v_P_H____,v_a____,v_b_H____,v_P____)))
    | ~ c_member(tc_prod(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_b____,v_b_H____),hAPP(v_F,v_P_H____))
    | spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18 ),
    inference(subsumption_resolution,[],[f1662,f1084]) ).

fof(f1084,plain,
    ( v_b____ != v_b_H____
    | spl5_18 ),
    inference(avatar_component_clause,[],[f1083]) ).

fof(f1083,plain,
    ( spl5_18
  <=> v_b____ = v_b_H____ ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).

fof(f1662,plain,
    ( v_b____ = v_b_H____
    | c_member(tc_prod(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_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,v_P_H____,v_a____,v_b_H____,v_P____)))
    | ~ c_member(tc_prod(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_b____,v_b_H____),hAPP(v_F,v_P_H____))
    | spl5_1
    | spl5_4
    | ~ spl5_5 ),
    inference(subsumption_resolution,[],[f1661,f716]) ).

fof(f716,plain,
    ( v_a____ != v_b_H____
    | spl5_4 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f715,plain,
    ( spl5_4
  <=> v_a____ = v_b_H____ ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).

fof(f1661,plain,
    ( v_a____ = v_b_H____
    | v_b____ = v_b_H____
    | ~ c_member(tc_prod(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_b____,v_b_H____),hAPP(v_F,v_P_H____))
    | c_member(tc_prod(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_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,v_P_H____,v_a____,v_b_H____,v_P____)))
    | spl5_1
    | ~ spl5_5 ),
    inference(subsumption_resolution,[],[f1660,f623]) ).

fof(f623,plain,
    c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_A_I4_J) ).

fof(f1660,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_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,v_P_H____,v_a____,v_b_H____,v_P____)))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | v_b____ = v_b_H____
    | ~ c_member(tc_prod(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_b____,v_b_H____),hAPP(v_F,v_P_H____))
    | v_a____ = v_b_H____
    | spl5_1
    | ~ spl5_5 ),
    inference(factoring,[],[f1651]) ).

fof(f1651,plain,
    ( ! [X6,X5] :
        ( c_member(tc_prod(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_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,X5,v_a____,X6,v_P____)))
        | ~ c_member(tc_prod(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_b____,X6),hAPP(v_F,X5))
        | v_b____ = 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,v_b____,X6),hAPP(X5,sK1(v_b____,X5,v_a____,X6,v_P____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = X6 )
    | spl5_1
    | ~ spl5_5 ),
    inference(subsumption_resolution,[],[f1650,f624]) ).

fof(f624,plain,
    v_a____ != v_b____,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    v_a____ != v_b____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_A_I1_J) ).

fof(f1650,plain,
    ( ! [X6,X5] :
        ( v_a____ = v_b____
        | c_member(tc_prod(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_b____,X6),hAPP(X5,sK1(v_b____,X5,v_a____,X6,v_P____)))
        | ~ c_member(tc_prod(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_b____,X6),hAPP(v_F,X5))
        | v_b____ = 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,v_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,X5,v_a____,X6,v_P____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = X6 )
    | spl5_1
    | ~ spl5_5 ),
    inference(subsumption_resolution,[],[f1649,f627]) ).

fof(f627,plain,
    c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_A_I3_J) ).

fof(f1649,plain,
    ( ! [X6,X5] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(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_b____,X6),hAPP(v_F,X5))
        | v_a____ = 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,v_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,X5,v_a____,X6,v_P____)))
        | v_b____ = X6
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = v_b____
        | c_member(tc_prod(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_b____,X6),hAPP(X5,sK1(v_b____,X5,v_a____,X6,v_P____))) )
    | spl5_1
    | ~ spl5_5 ),
    inference(subsumption_resolution,[],[f1643,f641]) ).

fof(f1643,plain,
    ( ! [X6,X5] :
        ( v_a____ = 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,v_b____,X6),hAPP(X5,sK1(v_b____,X5,v_a____,X6,v_P____)))
        | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
        | v_a____ = v_b____
        | c_member(tc_prod(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_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,X5,v_a____,X6,v_P____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(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_b____,X6),hAPP(v_F,X5))
        | v_b____ = X6
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl5_5 ),
    inference(resolution,[],[f1635,f597]) ).

fof(f597,plain,
    ! [X2,X3,X0,X1,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,X2,X0),hAPP(X4,sK1(X0,X1,X2,X3,X4)))
      | X0 = X3
      | X2 = 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,X0,X3),hAPP(X1,sK1(X0,X1,X2,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,X0,X3),hAPP(v_F,X1))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)
      | X0 = 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,X0),hAPP(v_F,X4))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf) ),
    inference(cnf_transformation,[],[f567]) ).

fof(f567,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)
      | X0 = X2
      | X2 = X3
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
      | ( ( c_member(tc_prod(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,X0),hAPP(v_F,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,X0,X3),hAPP(v_F,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,X0,X3),hAPP(v_F,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,X0),hAPP(v_F,X4)) ) )
      | X0 = 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,X2,X0),hAPP(X4,sK1(X0,X1,X2,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,X0,X3),hAPP(X1,sK1(X0,X1,X2,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,X2,X0),hAPP(X4,sK1(X0,X1,X2,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,X0,X3),hAPP(X1,sK1(X0,X1,X2,X3,X4))) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f565,f566]) ).

fof(f566,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ? [X5] :
          ( ( ~ c_member(tc_prod(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,X0),hAPP(X4,X5))
            | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(X1,X5)) )
          & ( c_member(tc_prod(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,X0),hAPP(X4,X5))
            | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(X1,X5)) ) )
     => ( ( ~ c_member(tc_prod(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,X0),hAPP(X4,sK1(X0,X1,X2,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,X0,X3),hAPP(X1,sK1(X0,X1,X2,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,X2,X0),hAPP(X4,sK1(X0,X1,X2,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,X0,X3),hAPP(X1,sK1(X0,X1,X2,X3,X4))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f565,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)
      | X0 = X2
      | X2 = X3
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
      | ( ( c_member(tc_prod(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,X0),hAPP(v_F,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,X0,X3),hAPP(v_F,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,X0,X3),hAPP(v_F,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,X0),hAPP(v_F,X4)) ) )
      | X0 = X3
      | ? [X5] :
          ( ( ~ c_member(tc_prod(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,X0),hAPP(X4,X5))
            | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(X1,X5)) )
          & ( c_member(tc_prod(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,X0),hAPP(X4,X5))
            | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(X1,X5)) ) ) ),
    inference(rectify,[],[f564]) ).

fof(f564,plain,
    ! [X4,X2,X3,X1,X0] :
      ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
      | X3 = X4
      | X1 = X3
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | ( ( c_member(tc_prod(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),hAPP(v_F,X0))
          | ~ c_member(tc_prod(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,X1),hAPP(v_F,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,X4,X1),hAPP(v_F,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,X3,X4),hAPP(v_F,X0)) ) )
      | X1 = X4
      | ? [X5] :
          ( ( ~ c_member(tc_prod(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),hAPP(X0,X5))
            | ~ c_member(tc_prod(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,X1),hAPP(X2,X5)) )
          & ( c_member(tc_prod(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),hAPP(X0,X5))
            | c_member(tc_prod(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,X1),hAPP(X2,X5)) ) ) ),
    inference(nnf_transformation,[],[f555]) ).

fof(f555,plain,
    ! [X4,X2,X3,X1,X0] :
      ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
      | X3 = X4
      | X1 = X3
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | ( c_member(tc_prod(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),hAPP(v_F,X0))
      <=> c_member(tc_prod(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,X1),hAPP(v_F,X2)) )
      | X1 = X4
      | ? [X5] :
          ( c_member(tc_prod(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,X1),hAPP(X2,X5))
        <~> c_member(tc_prod(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),hAPP(X0,X5)) ) ),
    inference(flattening,[],[f554]) ).

fof(f554,plain,
    ! [X2,X4,X1,X0,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,X4),hAPP(v_F,X0))
      <=> c_member(tc_prod(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,X1),hAPP(v_F,X2)) )
      | ? [X5] :
          ( c_member(tc_prod(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,X1),hAPP(X2,X5))
        <~> c_member(tc_prod(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),hAPP(X0,X5)) )
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
      | X1 = X3
      | X1 = X4
      | X3 = X4 ),
    inference(ennf_transformation,[],[f538]) ).

fof(f538,plain,
    ! [X2,X4,X1,X0,X3] :
      ( X3 != X4
     => ( X1 != X4
       => ( X1 != X3
         => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
           => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
             => ( ! [X5] :
                    ( c_member(tc_prod(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),hAPP(X0,X5))
                  <=> c_member(tc_prod(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,X1),hAPP(X2,X5)) )
               => ( c_member(tc_prod(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),hAPP(v_F,X0))
                <=> c_member(tc_prod(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,X1),hAPP(v_F,X2)) ) ) ) ) ) ) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X15,X4,X28,X23,X22] :
      ( X22 != X23
     => ( X4 != X22
       => ( X4 != X23
         => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
           => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X28,c_Arrow__Order__Mirabelle_OProf)
             => ( ! [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,X22,X4),hAPP(X28,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,X23,X22),hAPP(X15,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,X22,X4),hAPP(v_F,X28))
                <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X23,X22),hAPP(v_F,X15)) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__C4_C) ).

fof(f1635,plain,
    ( ! [X0] :
        ( ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,X0))
        | c_member(tc_prod(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_b____,v_b_H____),hAPP(v_P_H____,X0)) )
    | ~ spl5_5 ),
    inference(forward_demodulation,[],[f600,f721]) ).

fof(f721,plain,
    ( v_b____ = v_a_H____
    | ~ spl5_5 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f719,plain,
    ( spl5_5
  <=> v_b____ = v_a_H____ ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).

fof(f600,plain,
    ! [X0] :
      ( ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,X0))
      | c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_P_H____,X0)) ),
    inference(cnf_transformation,[],[f568]) ).

fof(f568,plain,
    ! [X0] :
      ( ( c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_P_H____,X0))
        | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,X0)) )
      & ( c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,X0))
        | ~ c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_P_H____,X0)) ) ),
    inference(nnf_transformation,[],[f531]) ).

fof(f531,plain,
    ! [X0] :
      ( c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_P_H____,X0))
    <=> c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,X0)) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [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,v_a_H____,v_b_H____),hAPP(v_P_H____,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,v_a____,v_b____),hAPP(v_P____,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_A_I5_J) ).

fof(f1674,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_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,v_P_H____,v_a____,v_b_H____,v_P____)))
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | ~ spl5_19 ),
    inference(subsumption_resolution,[],[f1673,f624]) ).

fof(f1673,plain,
    ( v_a____ = v_b____
    | ~ c_member(tc_prod(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_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,v_P_H____,v_a____,v_b_H____,v_P____)))
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | ~ spl5_19 ),
    inference(subsumption_resolution,[],[f1672,f1084]) ).

fof(f1672,plain,
    ( v_b____ = v_b_H____
    | v_a____ = v_b____
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | ~ c_member(tc_prod(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_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,v_P_H____,v_a____,v_b_H____,v_P____)))
    | spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | ~ spl5_19 ),
    inference(subsumption_resolution,[],[f1671,f623]) ).

fof(f1671,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | v_a____ = v_b____
    | v_b____ = v_b_H____
    | ~ c_member(tc_prod(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_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,v_P_H____,v_a____,v_b_H____,v_P____)))
    | spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | ~ spl5_19 ),
    inference(subsumption_resolution,[],[f1670,f1089]) ).

fof(f1670,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_b____,v_b_H____),hAPP(v_F,v_P_H____))
    | ~ c_member(tc_prod(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_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,v_P_H____,v_a____,v_b_H____,v_P____)))
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | v_b____ = v_b_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | v_a____ = v_b____
    | spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | ~ spl5_19 ),
    inference(subsumption_resolution,[],[f1669,f716]) ).

fof(f1669,plain,
    ( v_a____ = v_b_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_prod(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_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,v_P_H____,v_a____,v_b_H____,v_P____)))
    | ~ c_member(tc_prod(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_b____,v_b_H____),hAPP(v_F,v_P_H____))
    | v_b____ = v_b_H____
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | v_a____ = v_b____
    | spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | ~ spl5_19 ),
    inference(subsumption_resolution,[],[f1667,f627]) ).

fof(f1667,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_prod(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_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,v_P_H____,v_a____,v_b_H____,v_P____)))
    | v_a____ = v_b____
    | v_b____ = v_b_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | v_a____ = v_b_H____
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | ~ c_member(tc_prod(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_b____,v_b_H____),hAPP(v_F,v_P_H____))
    | spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | ~ spl5_19 ),
    inference(resolution,[],[f1665,f598]) ).

fof(f598,plain,
    ! [X2,X3,X0,X1,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,X2,X0),hAPP(X4,sK1(X0,X1,X2,X3,X4)))
      | X0 = X3
      | X2 = 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,X0,X3),hAPP(v_F,X1))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(X1,sK1(X0,X1,X2,X3,X4)))
      | X0 = 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,X0),hAPP(v_F,X4))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf) ),
    inference(cnf_transformation,[],[f567]) ).

fof(f1665,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_a____,v_b____),hAPP(v_P____,sK1(v_b____,v_P_H____,v_a____,v_b_H____,v_P____)))
    | spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | ~ spl5_19 ),
    inference(resolution,[],[f1664,f1611]) ).

fof(f1611,plain,
    ( ! [X0] :
        ( ~ c_member(tc_prod(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_b____,v_b_H____),hAPP(v_P_H____,X0))
        | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,X0)) )
    | ~ spl5_5 ),
    inference(forward_demodulation,[],[f599,f721]) ).

fof(f599,plain,
    ! [X0] :
      ( ~ c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_P_H____,X0))
      | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,X0)) ),
    inference(cnf_transformation,[],[f568]) ).

fof(f1609,plain,
    ( spl5_19
    | ~ spl5_2
    | ~ spl5_5 ),
    inference(avatar_split_clause,[],[f1608,f719,f644,f1087]) ).

fof(f644,plain,
    ( spl5_2
  <=> c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_F,v_P_H____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f1608,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_b____,v_b_H____),hAPP(v_F,v_P_H____))
    | ~ spl5_2
    | ~ spl5_5 ),
    inference(forward_demodulation,[],[f646,f721]) ).

fof(f646,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_a_H____,v_b_H____),hAPP(v_F,v_P_H____))
    | ~ spl5_2 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f1602,plain,
    ( spl5_5
    | spl5_4
    | ~ spl5_3
    | ~ spl5_2
    | spl5_25
    | spl5_1
    | ~ spl5_3 ),
    inference(avatar_split_clause,[],[f1601,f711,f640,f1196,f644,f711,f715,f719]) ).

fof(f1196,plain,
    ( spl5_25
  <=> v_a_H____ = v_b_H____ ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).

fof(f711,plain,
    ( spl5_3
  <=> c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_P_H____,sK0(v_b_H____,v_P____,v_a_H____,v_a____,v_P_H____,v_b____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

fof(f1601,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_a____,v_b____),hAPP(v_F,v_P____))
    | v_a_H____ = v_b_H____
    | ~ c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_F,v_P_H____))
    | ~ c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_P_H____,sK0(v_b_H____,v_P____,v_a_H____,v_a____,v_P_H____,v_b____)))
    | v_a____ = v_b_H____
    | v_b____ = v_a_H____
    | ~ spl5_3 ),
    inference(subsumption_resolution,[],[f1600,f627]) ).

fof(f1600,plain,
    ( v_a_H____ = v_b_H____
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | v_b____ = v_a_H____
    | ~ c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_P_H____,sK0(v_b_H____,v_P____,v_a_H____,v_a____,v_P_H____,v_b____)))
    | ~ c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_F,v_P_H____))
    | v_a____ = v_b_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl5_3 ),
    inference(subsumption_resolution,[],[f1599,f623]) ).

fof(f1599,plain,
    ( v_a_H____ = v_b_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_F,v_P_H____))
    | v_a____ = v_b_H____
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | v_b____ = v_a_H____
    | ~ c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_P_H____,sK0(v_b_H____,v_P____,v_a_H____,v_a____,v_P_H____,v_b____)))
    | ~ spl5_3 ),
    inference(subsumption_resolution,[],[f1220,f624]) ).

fof(f1220,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_a_H____,v_b_H____),hAPP(v_P_H____,sK0(v_b_H____,v_P____,v_a_H____,v_a____,v_P_H____,v_b____)))
    | v_a____ = v_b____
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | v_a____ = v_b_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | v_b____ = v_a_H____
    | ~ c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_F,v_P_H____))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | v_a_H____ = v_b_H____
    | ~ spl5_3 ),
    inference(resolution,[],[f723,f592]) ).

fof(f592,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ c_member(tc_prod(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,X5),hAPP(X1,sK0(X0,X1,X2,X3,X4,X5)))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)
      | c_member(tc_prod(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,X5),hAPP(v_F,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,X0),hAPP(v_F,X4))
      | X3 = X5
      | X0 = X3
      | X0 = 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,X0),hAPP(X4,sK0(X0,X1,X2,X3,X4,X5)))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
      | X2 = X5 ),
    inference(cnf_transformation,[],[f563]) ).

fof(f563,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( X0 = X2
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
      | ( ( c_member(tc_prod(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,X0),hAPP(v_F,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,X3,X5),hAPP(v_F,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,X3,X5),hAPP(v_F,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,X0),hAPP(v_F,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,X3,X5),hAPP(X1,sK0(X0,X1,X2,X3,X4,X5)))
          | ~ c_member(tc_prod(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,X0),hAPP(X4,sK0(X0,X1,X2,X3,X4,X5))) )
        & ( c_member(tc_prod(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,X5),hAPP(X1,sK0(X0,X1,X2,X3,X4,X5)))
          | c_member(tc_prod(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,X0),hAPP(X4,sK0(X0,X1,X2,X3,X4,X5))) ) )
      | X0 = X3
      | X3 = X5
      | X2 = X5 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f561,f562]) ).

fof(f562,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ? [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,X5),hAPP(X1,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,X2,X0),hAPP(X4,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,X5),hAPP(X1,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,X2,X0),hAPP(X4,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,X5),hAPP(X1,sK0(X0,X1,X2,X3,X4,X5)))
          | ~ c_member(tc_prod(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,X0),hAPP(X4,sK0(X0,X1,X2,X3,X4,X5))) )
        & ( c_member(tc_prod(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,X5),hAPP(X1,sK0(X0,X1,X2,X3,X4,X5)))
          | c_member(tc_prod(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,X0),hAPP(X4,sK0(X0,X1,X2,X3,X4,X5))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f561,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( X0 = X2
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
      | ( ( c_member(tc_prod(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,X0),hAPP(v_F,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,X3,X5),hAPP(v_F,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,X3,X5),hAPP(v_F,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,X0),hAPP(v_F,X4)) ) )
      | ? [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,X5),hAPP(X1,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,X2,X0),hAPP(X4,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,X5),hAPP(X1,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,X2,X0),hAPP(X4,X6)) ) )
      | X0 = X3
      | X3 = X5
      | X2 = X5 ),
    inference(rectify,[],[f560]) ).

fof(f560,plain,
    ! [X2,X0,X5,X1,X3,X4] :
      ( X2 = X5
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
      | ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X2),hAPP(v_F,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,X1,X4),hAPP(v_F,X0)) )
        & ( c_member(tc_prod(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,X4),hAPP(v_F,X0))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X2),hAPP(v_F,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,X1,X4),hAPP(X0,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,X5,X2),hAPP(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,X1,X4),hAPP(X0,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,X5,X2),hAPP(X3,X6)) ) )
      | X1 = X2
      | X1 = X4
      | X4 = X5 ),
    inference(nnf_transformation,[],[f559]) ).

fof(f559,plain,
    ! [X2,X0,X5,X1,X3,X4] :
      ( X2 = X5
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
      | ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X2),hAPP(v_F,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,X1,X4),hAPP(v_F,X0)) )
      | ? [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,X5,X2),hAPP(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,X1,X4),hAPP(X0,X6)) )
      | X1 = X2
      | X1 = X4
      | X4 = X5 ),
    inference(flattening,[],[f558]) ).

fof(f558,plain,
    ! [X1,X3,X5,X0,X4,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,X5,X2),hAPP(v_F,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,X1,X4),hAPP(v_F,X0)) )
      | ? [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,X5,X2),hAPP(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,X1,X4),hAPP(X0,X6)) )
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
      | X4 = X5
      | X1 = X2
      | X2 = X5
      | X1 = X4 ),
    inference(ennf_transformation,[],[f540]) ).

fof(f540,plain,
    ! [X1,X3,X5,X0,X4,X2] :
      ( X1 != X4
     => ( X2 != X5
       => ( X1 != X2
         => ( X4 != X5
           => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
             => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)
               => ( ! [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,X1,X4),hAPP(X0,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,X5,X2),hAPP(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,X5,X2),hAPP(v_F,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,X1,X4),hAPP(v_F,X0)) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X15,X23,X20,X28,X22,X21] :
      ( X22 != X23
     => ( X20 != X21
       => ( X20 != X23
         => ( X21 != X22
           => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
             => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X28,c_Arrow__Order__Mirabelle_OProf)
               => ( ! [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,X23,X22),hAPP(X15,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,X21,X20),hAPP(X28,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,X23,X22),hAPP(v_F,X15))
                  <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X21,X20),hAPP(v_F,X28)) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__C2_C) ).

fof(f723,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_a____,v_b____),hAPP(v_P____,sK0(v_b_H____,v_P____,v_a_H____,v_a____,v_P_H____,v_b____)))
    | ~ spl5_3 ),
    inference(resolution,[],[f713,f599]) ).

fof(f713,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_a_H____,v_b_H____),hAPP(v_P_H____,sK0(v_b_H____,v_P____,v_a_H____,v_a____,v_P_H____,v_b____)))
    | ~ spl5_3 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f1595,plain,
    ( spl5_2
    | spl5_25
    | spl5_27 ),
    inference(avatar_split_clause,[],[f1233,f1205,f1196,f644]) ).

fof(f1205,plain,
    ( spl5_27
  <=> ! [X8,X7] :
        ( ~ c_member(tc_prod(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_b_H____,X7),hAPP(v_F,X8))
        | v_b_H____ = X7
        | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK1(v_b_H____,X8,v_a_H____,X7,v_P_H____)))
        | v_a_H____ = X7
        | c_member(tc_prod(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_b_H____,X7),hAPP(X8,sK1(v_b_H____,X8,v_a_H____,X7,v_P_H____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).

fof(f1233,plain,
    ! [X6,X5] :
      ( v_b_H____ = 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,v_b_H____,X6),hAPP(X5,sK1(v_b_H____,X5,v_a_H____,X6,v_P_H____)))
      | v_a_H____ = X6
      | v_a_H____ = v_b_H____
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_prod(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_b_H____,X6),hAPP(v_F,X5))
      | c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_F,v_P_H____))
      | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK1(v_b_H____,X5,v_a_H____,X6,v_P_H____))) ),
    inference(subsumption_resolution,[],[f1226,f623]) ).

fof(f1226,plain,
    ! [X6,X5] :
      ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
      | c_member(tc_prod(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_b_H____,X6),hAPP(X5,sK1(v_b_H____,X5,v_a_H____,X6,v_P_H____)))
      | ~ c_member(tc_prod(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_b_H____,X6),hAPP(v_F,X5))
      | v_a_H____ = 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,v_a____,v_b____),hAPP(v_P____,sK1(v_b_H____,X5,v_a_H____,X6,v_P_H____)))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X5,c_Arrow__Order__Mirabelle_OProf)
      | v_a_H____ = v_b_H____
      | c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_F,v_P_H____))
      | v_b_H____ = X6 ),
    inference(resolution,[],[f599,f597]) ).

fof(f1594,plain,
    ( spl5_25
    | spl5_28
    | spl5_2 ),
    inference(avatar_split_clause,[],[f1504,f644,f1209,f1196]) ).

fof(f1209,plain,
    ( spl5_28
  <=> ! [X4,X5,X3] :
        ( X4 = X5
        | v_b_H____ = X5
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X4),hAPP(X3,sK0(X4,v_P_H____,X5,v_a_H____,X3,v_b_H____)))
        | v_a_H____ = 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,v_a____,v_b____),hAPP(v_P____,sK0(X4,v_P_H____,X5,v_a_H____,X3,v_b_H____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X4),hAPP(v_F,X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).

fof(f1504,plain,
    ! [X10,X11,X9] :
      ( c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_F,v_P_H____))
      | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK0(X9,v_P_H____,X10,v_a_H____,X11,v_b_H____)))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X9),hAPP(X11,sK0(X9,v_P_H____,X10,v_a_H____,X11,v_b_H____)))
      | v_a_H____ = X9
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X9),hAPP(v_F,X11))
      | X9 = X10
      | v_b_H____ = X10
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
      | v_a_H____ = v_b_H____ ),
    inference(subsumption_resolution,[],[f1228,f623]) ).

fof(f1228,plain,
    ! [X10,X11,X9] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X9),hAPP(v_F,X11))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X9),hAPP(X11,sK0(X9,v_P_H____,X10,v_a_H____,X11,v_b_H____)))
      | c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_F,v_P_H____))
      | v_a_H____ = v_b_H____
      | v_b_H____ = X10
      | v_a_H____ = X9
      | X9 = X10
      | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK0(X9,v_P_H____,X10,v_a_H____,X11,v_b_H____)))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X11,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf) ),
    inference(resolution,[],[f599,f591]) ).

fof(f591,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( c_member(tc_prod(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,X5),hAPP(X1,sK0(X0,X1,X2,X3,X4,X5)))
      | X3 = X5
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)
      | X0 = X3
      | X2 = X5
      | c_member(tc_prod(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,X0),hAPP(X4,sK0(X0,X1,X2,X3,X4,X5)))
      | ~ c_member(tc_prod(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,X0),hAPP(v_F,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,X3,X5),hAPP(v_F,X1))
      | X0 = X2 ),
    inference(cnf_transformation,[],[f563]) ).

fof(f1469,plain,
    ( ~ spl5_33
    | spl5_1
    | ~ spl5_4
    | spl5_5
    | ~ spl5_6
    | spl5_25 ),
    inference(avatar_split_clause,[],[f1468,f1196,f794,f719,f715,f640,f1391]) ).

fof(f1391,plain,
    ( spl5_33
  <=> c_member(tc_prod(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_a_H____,v_a____),hAPP(v_F,v_P_H____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_33])]) ).

fof(f794,plain,
    ( spl5_6
  <=> c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK1(v_a____,v_P____,v_a_H____,v_b____,v_P_H____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).

fof(f1468,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_a____,v_b____),hAPP(v_F,v_P____))
    | ~ c_member(tc_prod(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_a_H____,v_a____),hAPP(v_F,v_P_H____))
    | ~ spl5_4
    | spl5_5
    | ~ spl5_6
    | spl5_25 ),
    inference(subsumption_resolution,[],[f1467,f627]) ).

fof(f1467,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_a____,v_b____),hAPP(v_F,v_P____))
    | ~ c_member(tc_prod(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_a_H____,v_a____),hAPP(v_F,v_P_H____))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl5_4
    | spl5_5
    | ~ spl5_6
    | spl5_25 ),
    inference(subsumption_resolution,[],[f1466,f720]) ).

fof(f720,plain,
    ( v_b____ != v_a_H____
    | spl5_5 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f1466,plain,
    ( v_b____ = v_a_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_prod(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_a_H____,v_a____),hAPP(v_F,v_P_H____))
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl5_4
    | ~ spl5_6
    | spl5_25 ),
    inference(subsumption_resolution,[],[f1465,f796]) ).

fof(f796,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_a____,v_b____),hAPP(v_P____,sK1(v_a____,v_P____,v_a_H____,v_b____,v_P_H____)))
    | ~ spl5_6 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f1465,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_a____,v_b____),hAPP(v_F,v_P____))
    | ~ c_member(tc_prod(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_a_H____,v_a____),hAPP(v_F,v_P_H____))
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK1(v_a____,v_P____,v_a_H____,v_b____,v_P_H____)))
    | v_b____ = v_a_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl5_4
    | ~ spl5_6
    | spl5_25 ),
    inference(subsumption_resolution,[],[f1464,f624]) ).

fof(f1464,plain,
    ( v_a____ = v_b____
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | ~ c_member(tc_prod(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_a_H____,v_a____),hAPP(v_F,v_P_H____))
    | v_b____ = v_a_H____
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK1(v_a____,v_P____,v_a_H____,v_b____,v_P_H____)))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl5_4
    | ~ spl5_6
    | spl5_25 ),
    inference(subsumption_resolution,[],[f1463,f1299]) ).

fof(f1299,plain,
    ( v_a____ != v_a_H____
    | ~ spl5_4
    | spl5_25 ),
    inference(backward_demodulation,[],[f1197,f717]) ).

fof(f717,plain,
    ( v_a____ = v_b_H____
    | ~ spl5_4 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f1197,plain,
    ( v_a_H____ != v_b_H____
    | spl5_25 ),
    inference(avatar_component_clause,[],[f1196]) ).

fof(f1463,plain,
    ( v_a____ = v_a_H____
    | ~ c_member(tc_prod(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_a_H____,v_a____),hAPP(v_F,v_P_H____))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK1(v_a____,v_P____,v_a_H____,v_b____,v_P_H____)))
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | v_a____ = v_b____
    | v_b____ = v_a_H____
    | ~ spl5_4
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f1370,f623]) ).

fof(f1370,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | v_a____ = v_a_H____
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | v_b____ = v_a_H____
    | v_a____ = v_b____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK1(v_a____,v_P____,v_a_H____,v_b____,v_P_H____)))
    | ~ c_member(tc_prod(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_a_H____,v_a____),hAPP(v_F,v_P_H____))
    | ~ spl5_4
    | ~ spl5_6 ),
    inference(resolution,[],[f1367,f596]) ).

fof(f596,plain,
    ! [X2,X3,X0,X1,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,X2,X0),hAPP(X4,sK1(X0,X1,X2,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,X0,X3),hAPP(v_F,X1))
      | X0 = X2
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
      | X2 = 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,X0,X3),hAPP(X1,sK1(X0,X1,X2,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,X2,X0),hAPP(v_F,X4))
      | X0 = X3 ),
    inference(cnf_transformation,[],[f567]) ).

fof(f1367,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_a_H____,v_a____),hAPP(v_P_H____,sK1(v_a____,v_P____,v_a_H____,v_b____,v_P_H____)))
    | ~ spl5_4
    | ~ spl5_6 ),
    inference(resolution,[],[f796,f1288]) ).

fof(f1288,plain,
    ( ! [X0] :
        ( ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,X0))
        | c_member(tc_prod(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_a_H____,v_a____),hAPP(v_P_H____,X0)) )
    | ~ spl5_4 ),
    inference(backward_demodulation,[],[f600,f717]) ).

fof(f1400,plain,
    ( spl5_33
    | ~ spl5_2
    | ~ spl5_4 ),
    inference(avatar_split_clause,[],[f1399,f715,f644,f1391]) ).

fof(f1399,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_a_H____,v_a____),hAPP(v_F,v_P_H____))
    | ~ spl5_2
    | ~ spl5_4 ),
    inference(forward_demodulation,[],[f646,f717]) ).

fof(f1379,plain,
    ( ~ spl5_1
    | spl5_2
    | ~ spl5_4
    | spl5_5
    | ~ spl5_6
    | spl5_25 ),
    inference(avatar_contradiction_clause,[],[f1378]) ).

fof(f1378,plain,
    ( $false
    | ~ spl5_1
    | spl5_2
    | ~ spl5_4
    | spl5_5
    | ~ spl5_6
    | spl5_25 ),
    inference(subsumption_resolution,[],[f1377,f623]) ).

fof(f1377,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl5_1
    | spl5_2
    | ~ spl5_4
    | spl5_5
    | ~ spl5_6
    | spl5_25 ),
    inference(subsumption_resolution,[],[f1376,f720]) ).

fof(f1376,plain,
    ( v_b____ = v_a_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl5_1
    | spl5_2
    | ~ spl5_4
    | ~ spl5_6
    | spl5_25 ),
    inference(subsumption_resolution,[],[f1375,f627]) ).

fof(f1375,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | v_b____ = v_a_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl5_1
    | spl5_2
    | ~ spl5_4
    | ~ spl5_6
    | spl5_25 ),
    inference(subsumption_resolution,[],[f1374,f624]) ).

fof(f1374,plain,
    ( v_a____ = v_b____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | v_b____ = v_a_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl5_1
    | spl5_2
    | ~ spl5_4
    | ~ spl5_6
    | spl5_25 ),
    inference(subsumption_resolution,[],[f1373,f796]) ).

fof(f1373,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_a____,v_b____),hAPP(v_P____,sK1(v_a____,v_P____,v_a_H____,v_b____,v_P_H____)))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | v_a____ = v_b____
    | v_b____ = v_a_H____
    | ~ spl5_1
    | spl5_2
    | ~ spl5_4
    | ~ spl5_6
    | spl5_25 ),
    inference(subsumption_resolution,[],[f1372,f1289]) ).

fof(f1289,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_a_H____,v_a____),hAPP(v_F,v_P_H____))
    | spl5_2
    | ~ spl5_4 ),
    inference(backward_demodulation,[],[f645,f717]) ).

fof(f645,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_a_H____,v_b_H____),hAPP(v_F,v_P_H____))
    | spl5_2 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f1372,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_a_H____,v_a____),hAPP(v_F,v_P_H____))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK1(v_a____,v_P____,v_a_H____,v_b____,v_P_H____)))
    | v_a____ = v_b____
    | v_b____ = v_a_H____
    | ~ spl5_1
    | ~ spl5_4
    | ~ spl5_6
    | spl5_25 ),
    inference(subsumption_resolution,[],[f1371,f642]) ).

fof(f642,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_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f1371,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | c_member(tc_prod(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_a_H____,v_a____),hAPP(v_F,v_P_H____))
    | v_a____ = v_b____
    | v_b____ = v_a_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK1(v_a____,v_P____,v_a_H____,v_b____,v_P_H____)))
    | ~ spl5_4
    | ~ spl5_6
    | spl5_25 ),
    inference(subsumption_resolution,[],[f1369,f1299]) ).

fof(f1369,plain,
    ( v_a____ = v_a_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | c_member(tc_prod(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_a_H____,v_a____),hAPP(v_F,v_P_H____))
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK1(v_a____,v_P____,v_a_H____,v_b____,v_P_H____)))
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | v_b____ = v_a_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | v_a____ = v_b____
    | ~ spl5_4
    | ~ spl5_6 ),
    inference(resolution,[],[f1367,f598]) ).

fof(f1366,plain,
    ( spl5_6
    | ~ spl5_1
    | ~ spl5_4
    | spl5_5
    | ~ spl5_27 ),
    inference(avatar_split_clause,[],[f1365,f1205,f719,f715,f640,f794]) ).

fof(f1365,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_a____,v_b____),hAPP(v_P____,sK1(v_a____,v_P____,v_a_H____,v_b____,v_P_H____)))
    | ~ spl5_1
    | ~ spl5_4
    | spl5_5
    | ~ spl5_27 ),
    inference(subsumption_resolution,[],[f1364,f642]) ).

fof(f1364,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_a____,v_b____),hAPP(v_P____,sK1(v_a____,v_P____,v_a_H____,v_b____,v_P_H____)))
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl5_4
    | spl5_5
    | ~ spl5_27 ),
    inference(subsumption_resolution,[],[f1363,f627]) ).

fof(f1363,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK1(v_a____,v_P____,v_a_H____,v_b____,v_P_H____)))
    | ~ spl5_4
    | spl5_5
    | ~ spl5_27 ),
    inference(subsumption_resolution,[],[f1362,f720]) ).

fof(f1362,plain,
    ( v_b____ = v_a_H____
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK1(v_a____,v_P____,v_a_H____,v_b____,v_P_H____)))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl5_4
    | ~ spl5_27 ),
    inference(subsumption_resolution,[],[f1361,f624]) ).

fof(f1361,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_a____,v_b____),hAPP(v_P____,sK1(v_a____,v_P____,v_a_H____,v_b____,v_P_H____)))
    | v_a____ = v_b____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | v_b____ = v_a_H____
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl5_4
    | ~ spl5_27 ),
    inference(factoring,[],[f1321]) ).

fof(f1321,plain,
    ( ! [X8,X7] :
        ( c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK1(v_a____,X8,v_a_H____,X7,v_P_H____)))
        | ~ c_member(tc_prod(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_a____,X7),hAPP(v_F,X8))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = X7
        | v_a_H____ = X7
        | c_member(tc_prod(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_a____,X7),hAPP(X8,sK1(v_a____,X8,v_a_H____,X7,v_P_H____))) )
    | ~ spl5_4
    | ~ spl5_27 ),
    inference(forward_demodulation,[],[f1320,f717]) ).

fof(f1320,plain,
    ( ! [X8,X7] :
        ( c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK1(v_b_H____,X8,v_a_H____,X7,v_P_H____)))
        | c_member(tc_prod(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_a____,X7),hAPP(X8,sK1(v_a____,X8,v_a_H____,X7,v_P_H____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(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_a____,X7),hAPP(v_F,X8))
        | v_a_H____ = X7
        | v_a____ = X7 )
    | ~ spl5_4
    | ~ spl5_27 ),
    inference(forward_demodulation,[],[f1319,f717]) ).

fof(f1319,plain,
    ( ! [X8,X7] :
        ( v_b_H____ = X7
        | ~ c_member(tc_prod(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_a____,X7),hAPP(v_F,X8))
        | c_member(tc_prod(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_a____,X7),hAPP(X8,sK1(v_a____,X8,v_a_H____,X7,v_P_H____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | v_a_H____ = X7
        | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK1(v_b_H____,X8,v_a_H____,X7,v_P_H____))) )
    | ~ spl5_4
    | ~ spl5_27 ),
    inference(forward_demodulation,[],[f1300,f717]) ).

fof(f1300,plain,
    ( ! [X8,X7] :
        ( v_a_H____ = X7
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(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_b_H____,X7),hAPP(v_F,X8))
        | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK1(v_b_H____,X8,v_a_H____,X7,v_P_H____)))
        | c_member(tc_prod(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_a____,X7),hAPP(X8,sK1(v_a____,X8,v_a_H____,X7,v_P_H____)))
        | v_b_H____ = X7 )
    | ~ spl5_4
    | ~ spl5_27 ),
    inference(backward_demodulation,[],[f1206,f717]) ).

fof(f1206,plain,
    ( ! [X8,X7] :
        ( c_member(tc_prod(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_b_H____,X7),hAPP(X8,sK1(v_b_H____,X8,v_a_H____,X7,v_P_H____)))
        | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK1(v_b_H____,X8,v_a_H____,X7,v_P_H____)))
        | ~ c_member(tc_prod(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_b_H____,X7),hAPP(v_F,X8))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X8,c_Arrow__Order__Mirabelle_OProf)
        | v_a_H____ = X7
        | v_b_H____ = X7 )
    | ~ spl5_27 ),
    inference(avatar_component_clause,[],[f1205]) ).

fof(f1281,plain,
    ( ~ spl5_1
    | spl5_2
    | spl5_4
    | spl5_5
    | spl5_25
    | ~ spl5_28 ),
    inference(avatar_contradiction_clause,[],[f1280]) ).

fof(f1280,plain,
    ( $false
    | ~ spl5_1
    | spl5_2
    | spl5_4
    | spl5_5
    | spl5_25
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f1279,f720]) ).

fof(f1279,plain,
    ( v_b____ = v_a_H____
    | ~ spl5_1
    | spl5_2
    | spl5_4
    | spl5_5
    | spl5_25
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f1278,f623]) ).

fof(f1278,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | v_b____ = v_a_H____
    | ~ spl5_1
    | spl5_2
    | spl5_4
    | spl5_5
    | spl5_25
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f1277,f627]) ).

fof(f1277,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | v_b____ = v_a_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl5_1
    | spl5_2
    | spl5_4
    | spl5_5
    | spl5_25
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f1276,f716]) ).

fof(f1276,plain,
    ( v_a____ = v_b_H____
    | v_b____ = v_a_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl5_1
    | spl5_2
    | spl5_4
    | spl5_5
    | spl5_25
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f1275,f1268]) ).

fof(f1268,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_a____,v_b____),hAPP(v_P____,sK0(v_b____,v_P_H____,v_a____,v_a_H____,v_P____,v_b_H____)))
    | ~ spl5_1
    | spl5_4
    | spl5_5
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f1267,f716]) ).

fof(f1267,plain,
    ( v_a____ = v_b_H____
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK0(v_b____,v_P_H____,v_a____,v_a_H____,v_P____,v_b_H____)))
    | ~ spl5_1
    | spl5_5
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f1266,f642]) ).

fof(f1266,plain,
    ( v_a____ = v_b_H____
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK0(v_b____,v_P_H____,v_a____,v_a_H____,v_P____,v_b_H____)))
    | spl5_5
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f1265,f627]) ).

fof(f1265,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | v_a____ = v_b_H____
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK0(v_b____,v_P_H____,v_a____,v_a_H____,v_P____,v_b_H____)))
    | spl5_5
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f1264,f720]) ).

fof(f1264,plain,
    ( v_b____ = v_a_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | v_a____ = v_b_H____
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK0(v_b____,v_P_H____,v_a____,v_a_H____,v_P____,v_b_H____)))
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f1263,f624]) ).

fof(f1263,plain,
    ( v_a____ = v_b____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | v_a____ = v_b_H____
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK0(v_b____,v_P_H____,v_a____,v_a_H____,v_P____,v_b_H____)))
    | v_b____ = v_a_H____
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl5_28 ),
    inference(factoring,[],[f1210]) ).

fof(f1210,plain,
    ( ! [X3,X4,X5] :
        ( c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK0(X4,v_P_H____,X5,v_a_H____,X3,v_b_H____)))
        | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X4),hAPP(v_F,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,X5,X4),hAPP(X3,sK0(X4,v_P_H____,X5,v_a_H____,X3,v_b_H____)))
        | v_b_H____ = X5
        | v_a_H____ = X4
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)
        | X4 = X5 )
    | ~ spl5_28 ),
    inference(avatar_component_clause,[],[f1209]) ).

fof(f1275,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_a____,v_b____),hAPP(v_P____,sK0(v_b____,v_P_H____,v_a____,v_a_H____,v_P____,v_b_H____)))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | v_a____ = v_b_H____
    | v_b____ = v_a_H____
    | ~ spl5_1
    | spl5_2
    | spl5_4
    | spl5_5
    | spl5_25
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f1274,f645]) ).

fof(f1274,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_a_H____,v_b_H____),hAPP(v_F,v_P_H____))
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK0(v_b____,v_P_H____,v_a____,v_a_H____,v_P____,v_b_H____)))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | v_a____ = v_b_H____
    | v_b____ = v_a_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl5_1
    | spl5_4
    | spl5_5
    | spl5_25
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f1273,f1197]) ).

fof(f1273,plain,
    ( v_a_H____ = v_b_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK0(v_b____,v_P_H____,v_a____,v_a_H____,v_P____,v_b_H____)))
    | v_b____ = v_a_H____
    | v_a____ = v_b_H____
    | c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_F,v_P_H____))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl5_1
    | spl5_4
    | spl5_5
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f1272,f624]) ).

fof(f1272,plain,
    ( v_a____ = v_b____
    | v_a____ = v_b_H____
    | v_a_H____ = v_b_H____
    | v_b____ = v_a_H____
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK0(v_b____,v_P_H____,v_a____,v_a_H____,v_P____,v_b_H____)))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_F,v_P_H____))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl5_1
    | spl5_4
    | spl5_5
    | ~ spl5_28 ),
    inference(subsumption_resolution,[],[f1271,f642]) ).

fof(f1271,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_a____,v_b____),hAPP(v_F,v_P____))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_F,v_P_H____))
    | v_a____ = v_b_H____
    | v_b____ = v_a_H____
    | v_a_H____ = v_b_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK0(v_b____,v_P_H____,v_a____,v_a_H____,v_P____,v_b_H____)))
    | v_a____ = v_b____
    | ~ spl5_1
    | spl5_4
    | spl5_5
    | ~ spl5_28 ),
    inference(resolution,[],[f1269,f592]) ).

fof(f1269,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_a_H____,v_b_H____),hAPP(v_P_H____,sK0(v_b____,v_P_H____,v_a____,v_a_H____,v_P____,v_b_H____)))
    | ~ spl5_1
    | spl5_4
    | spl5_5
    | ~ spl5_28 ),
    inference(resolution,[],[f1268,f600]) ).

fof(f1203,plain,
    ~ spl5_25,
    inference(avatar_split_clause,[],[f610,f1196]) ).

fof(f610,plain,
    v_a_H____ != v_b_H____,
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    v_a_H____ != v_b_H____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_A_I2_J) ).

fof(f1194,plain,
    ( ~ spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | spl5_19 ),
    inference(avatar_contradiction_clause,[],[f1193]) ).

fof(f1193,plain,
    ( $false
    | ~ spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | spl5_19 ),
    inference(subsumption_resolution,[],[f1192,f624]) ).

fof(f1192,plain,
    ( v_a____ = v_b____
    | ~ spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | spl5_19 ),
    inference(subsumption_resolution,[],[f1191,f1084]) ).

fof(f1191,plain,
    ( v_b____ = v_b_H____
    | v_a____ = v_b____
    | ~ spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | spl5_19 ),
    inference(subsumption_resolution,[],[f1190,f642]) ).

fof(f1190,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_a____,v_b____),hAPP(v_F,v_P____))
    | v_b____ = v_b_H____
    | v_a____ = v_b____
    | ~ spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | spl5_19 ),
    inference(subsumption_resolution,[],[f1189,f623]) ).

fof(f1189,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | v_b____ = v_b_H____
    | v_a____ = v_b____
    | ~ spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | spl5_19 ),
    inference(subsumption_resolution,[],[f1188,f716]) ).

fof(f1188,plain,
    ( v_a____ = v_b_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | v_b____ = v_b_H____
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | v_a____ = v_b____
    | ~ spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | spl5_19 ),
    inference(subsumption_resolution,[],[f1187,f1088]) ).

fof(f1088,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_b____,v_b_H____),hAPP(v_F,v_P_H____))
    | spl5_19 ),
    inference(avatar_component_clause,[],[f1087]) ).

fof(f1187,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_b____,v_b_H____),hAPP(v_F,v_P_H____))
    | v_a____ = v_b____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | v_a____ = v_b_H____
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | v_b____ = v_b_H____
    | ~ spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | spl5_19 ),
    inference(subsumption_resolution,[],[f1186,f627]) ).

fof(f1186,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | v_a____ = v_b_H____
    | v_a____ = v_b____
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | v_b____ = v_b_H____
    | c_member(tc_prod(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_b____,v_b_H____),hAPP(v_F,v_P_H____))
    | ~ spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | spl5_19 ),
    inference(subsumption_resolution,[],[f1185,f1181]) ).

fof(f1181,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_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,v_P_H____,v_a____,v_b_H____,v_P____)))
    | ~ spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | spl5_19 ),
    inference(subsumption_resolution,[],[f1180,f1088]) ).

fof(f1180,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_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,v_P_H____,v_a____,v_b_H____,v_P____)))
    | c_member(tc_prod(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_b____,v_b_H____),hAPP(v_F,v_P_H____))
    | ~ spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18 ),
    inference(subsumption_resolution,[],[f1179,f1084]) ).

fof(f1179,plain,
    ( v_b____ = v_b_H____
    | c_member(tc_prod(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_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,v_P_H____,v_a____,v_b_H____,v_P____)))
    | c_member(tc_prod(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_b____,v_b_H____),hAPP(v_F,v_P_H____))
    | ~ spl5_1
    | spl5_4
    | ~ spl5_5 ),
    inference(subsumption_resolution,[],[f1178,f623]) ).

fof(f1178,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | v_b____ = v_b_H____
    | c_member(tc_prod(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_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,v_P_H____,v_a____,v_b_H____,v_P____)))
    | c_member(tc_prod(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_b____,v_b_H____),hAPP(v_F,v_P_H____))
    | ~ spl5_1
    | spl5_4
    | ~ spl5_5 ),
    inference(subsumption_resolution,[],[f1177,f716]) ).

fof(f1177,plain,
    ( v_a____ = v_b_H____
    | c_member(tc_prod(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_b____,v_b_H____),hAPP(v_F,v_P_H____))
    | v_b____ = v_b_H____
    | c_member(tc_prod(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_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,v_P_H____,v_a____,v_b_H____,v_P____)))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl5_1
    | ~ spl5_5 ),
    inference(factoring,[],[f1073]) ).

fof(f1073,plain,
    ( ! [X0,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_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,X1,v_a____,X0,v_P____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = X0
        | c_member(tc_prod(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_b____,X0),hAPP(X1,sK1(v_b____,X1,v_a____,X0,v_P____)))
        | v_b____ = X0
        | c_member(tc_prod(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_b____,X0),hAPP(v_F,X1)) )
    | ~ spl5_1
    | ~ spl5_5 ),
    inference(forward_demodulation,[],[f1072,f721]) ).

fof(f1072,plain,
    ( ! [X0,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_a_H____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,X1,v_a____,X0,v_P____)))
        | v_b____ = X0
        | c_member(tc_prod(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_b____,X0),hAPP(X1,sK1(v_b____,X1,v_a____,X0,v_P____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(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_b____,X0),hAPP(v_F,X1))
        | v_a____ = X0 )
    | ~ spl5_1 ),
    inference(subsumption_resolution,[],[f1025,f642]) ).

fof(f1025,plain,
    ! [X0,X1] :
      ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
      | c_member(tc_prod(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_b____,X0),hAPP(v_F,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_b____,X0),hAPP(X1,sK1(v_b____,X1,v_a____,X0,v_P____)))
      | c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,X1,v_a____,X0,v_P____)))
      | v_a____ = X0
      | v_b____ = X0
      | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____)) ),
    inference(subsumption_resolution,[],[f1024,f624]) ).

fof(f1024,plain,
    ! [X0,X1] :
      ( v_a____ = v_b____
      | c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,X1,v_a____,X0,v_P____)))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
      | v_b____ = X0
      | c_member(tc_prod(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_b____,X0),hAPP(X1,sK1(v_b____,X1,v_a____,X0,v_P____)))
      | v_a____ = X0
      | c_member(tc_prod(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_b____,X0),hAPP(v_F,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_a____,v_b____),hAPP(v_F,v_P____)) ),
    inference(subsumption_resolution,[],[f675,f627]) ).

fof(f675,plain,
    ! [X0,X1] :
      ( v_a____ = X0
      | c_member(tc_prod(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_b____,X0),hAPP(X1,sK1(v_b____,X1,v_a____,X0,v_P____)))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
      | c_member(tc_prod(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_b____,X0),hAPP(v_F,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_a____,v_b____),hAPP(v_F,v_P____))
      | v_b____ = X0
      | v_a____ = v_b____
      | c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,X1,v_a____,X0,v_P____)))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf) ),
    inference(resolution,[],[f595,f600]) ).

fof(f595,plain,
    ! [X2,X3,X0,X1,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,X2,X0),hAPP(X4,sK1(X0,X1,X2,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,X0,X3),hAPP(v_F,X1))
      | X2 = X3
      | X0 = X2
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X3),hAPP(X1,sK1(X0,X1,X2,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,X2,X0),hAPP(v_F,X4))
      | X0 = X3 ),
    inference(cnf_transformation,[],[f567]) ).

fof(f1185,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_b____,v_b_H____),hAPP(v_P_H____,sK1(v_b____,v_P_H____,v_a____,v_b_H____,v_P____)))
    | v_a____ = v_b_H____
    | v_b____ = v_b_H____
    | v_a____ = v_b____
    | c_member(tc_prod(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_b____,v_b_H____),hAPP(v_F,v_P_H____))
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | spl5_19 ),
    inference(resolution,[],[f1182,f596]) ).

fof(f1182,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_a____,v_b____),hAPP(v_P____,sK1(v_b____,v_P_H____,v_a____,v_b_H____,v_P____)))
    | ~ spl5_1
    | spl5_4
    | ~ spl5_5
    | spl5_18
    | spl5_19 ),
    inference(resolution,[],[f1181,f1076]) ).

fof(f1076,plain,
    ( ! [X0] :
        ( ~ c_member(tc_prod(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_b____,v_b_H____),hAPP(v_P_H____,X0))
        | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,X0)) )
    | ~ spl5_5 ),
    inference(forward_demodulation,[],[f599,f721]) ).

fof(f1133,plain,
    ( ~ spl5_19
    | spl5_2
    | ~ spl5_5 ),
    inference(avatar_split_clause,[],[f1070,f719,f644,f1087]) ).

fof(f1070,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_b____,v_b_H____),hAPP(v_F,v_P_H____))
    | spl5_2
    | ~ spl5_5 ),
    inference(forward_demodulation,[],[f645,f721]) ).

fof(f1132,plain,
    ( ~ spl5_18
    | ~ spl5_5 ),
    inference(avatar_split_clause,[],[f1074,f719,f1083]) ).

fof(f1074,plain,
    ( v_b____ != v_b_H____
    | ~ spl5_5 ),
    inference(forward_demodulation,[],[f610,f721]) ).

fof(f1069,plain,
    ( ~ spl5_1
    | ~ spl5_4
    | ~ spl5_5
    | spl5_8
    | ~ spl5_9 ),
    inference(avatar_contradiction_clause,[],[f1068]) ).

fof(f1068,plain,
    ( $false
    | ~ spl5_1
    | ~ spl5_4
    | ~ spl5_5
    | spl5_8
    | ~ spl5_9 ),
    inference(subsumption_resolution,[],[f1067,f879]) ).

fof(f879,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_b____,v_a____),hAPP(v_F,v_P_H____))
    | spl5_8 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f878,plain,
    ( spl5_8
  <=> c_member(tc_prod(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_b____,v_a____),hAPP(v_F,v_P_H____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).

fof(f1067,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_b____,v_a____),hAPP(v_F,v_P_H____))
    | ~ spl5_1
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_9 ),
    inference(subsumption_resolution,[],[f1066,f1058]) ).

fof(f1058,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_a____,v_b____),hAPP(v_P____,sK3(v_a____,v_b____,v_P_H____,v_P____)))
    | ~ spl5_1
    | ~ spl5_9 ),
    inference(subsumption_resolution,[],[f1057,f627]) ).

fof(f1057,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK3(v_a____,v_b____,v_P_H____,v_P____)))
    | ~ spl5_1
    | ~ spl5_9 ),
    inference(subsumption_resolution,[],[f1056,f642]) ).

fof(f1056,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK3(v_a____,v_b____,v_P_H____,v_P____)))
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | ~ spl5_9 ),
    inference(factoring,[],[f883]) ).

fof(f883,plain,
    ( ! [X0] :
        ( c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK3(v_a____,v_b____,v_P_H____,X0)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(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_a____,v_b____),hAPP(X0,sK3(v_a____,v_b____,v_P_H____,X0)))
        | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_F,X0)) )
    | ~ spl5_9 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f882,plain,
    ( spl5_9
  <=> ! [X0] :
        ( c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK3(v_a____,v_b____,v_P_H____,X0)))
        | c_member(tc_prod(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_a____,v_b____),hAPP(X0,sK3(v_a____,v_b____,v_P_H____,X0)))
        | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_F,X0))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).

fof(f1066,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_a____,v_b____),hAPP(v_P____,sK3(v_a____,v_b____,v_P_H____,v_P____)))
    | c_member(tc_prod(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_b____,v_a____),hAPP(v_F,v_P_H____))
    | ~ spl5_1
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_9 ),
    inference(subsumption_resolution,[],[f1065,f624]) ).

fof(f1065,plain,
    ( v_a____ = v_b____
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK3(v_a____,v_b____,v_P_H____,v_P____)))
    | c_member(tc_prod(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_b____,v_a____),hAPP(v_F,v_P_H____))
    | ~ spl5_1
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_9 ),
    inference(subsumption_resolution,[],[f1064,f623]) ).

fof(f1064,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK3(v_a____,v_b____,v_P_H____,v_P____)))
    | v_a____ = v_b____
    | c_member(tc_prod(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_b____,v_a____),hAPP(v_F,v_P_H____))
    | ~ spl5_1
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_9 ),
    inference(subsumption_resolution,[],[f1063,f627]) ).

fof(f1063,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | v_a____ = v_b____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK3(v_a____,v_b____,v_P_H____,v_P____)))
    | c_member(tc_prod(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_b____,v_a____),hAPP(v_F,v_P_H____))
    | ~ spl5_1
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_9 ),
    inference(subsumption_resolution,[],[f1061,f642]) ).

fof(f1061,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_a____,v_b____),hAPP(v_F,v_P____))
    | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK3(v_a____,v_b____,v_P_H____,v_P____)))
    | c_member(tc_prod(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_b____,v_a____),hAPP(v_F,v_P_H____))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | v_a____ = v_b____
    | ~ spl5_1
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_9 ),
    inference(resolution,[],[f1059,f620]) ).

fof(f620,plain,
    ! [X2,X3,X0,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,X0),hAPP(X2,sK3(X0,X1,X2,X3)))
      | X0 = 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,X0),hAPP(v_F,X2))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,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,X0,X1),hAPP(X3,sK3(X0,X1,X2,X3)))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf) ),
    inference(cnf_transformation,[],[f584]) ).

fof(f584,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | ( ( ~ c_member(tc_prod(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,X0),hAPP(X2,sK3(X0,X1,X2,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,X0,X1),hAPP(X3,sK3(X0,X1,X2,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,X1,X0),hAPP(X2,sK3(X0,X1,X2,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,X0,X1),hAPP(X3,sK3(X0,X1,X2,X3))) ) )
      | X0 = 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,X0),hAPP(v_F,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,X0,X1),hAPP(v_F,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,X0,X1),hAPP(v_F,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,X1,X0),hAPP(v_F,X2)) ) )
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f582,f583]) ).

fof(f583,plain,
    ! [X0,X1,X2,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,X1,X0),hAPP(X2,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,X0,X1),hAPP(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,X1,X0),hAPP(X2,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,X0,X1),hAPP(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,X1,X0),hAPP(X2,sK3(X0,X1,X2,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,X0,X1),hAPP(X3,sK3(X0,X1,X2,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,X1,X0),hAPP(X2,sK3(X0,X1,X2,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,X0,X1),hAPP(X3,sK3(X0,X1,X2,X3))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f582,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | ? [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,X1,X0),hAPP(X2,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,X0,X1),hAPP(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,X1,X0),hAPP(X2,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,X0,X1),hAPP(X3,X4)) ) )
      | X0 = 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,X0),hAPP(v_F,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,X0,X1),hAPP(v_F,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,X0,X1),hAPP(v_F,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,X1,X0),hAPP(v_F,X2)) ) )
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf) ),
    inference(rectify,[],[f581]) ).

fof(f581,plain,
    ! [X2,X3,X1,X0] :
      ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
      | ? [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,X3,X2),hAPP(X1,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,X2,X3),hAPP(X0,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,X3,X2),hAPP(X1,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,X2,X3),hAPP(X0,X4)) ) )
      | X2 = 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,X2),hAPP(v_F,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,X3),hAPP(v_F,X0)) )
        & ( c_member(tc_prod(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),hAPP(v_F,X0))
          | ~ c_member(tc_prod(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,X2),hAPP(v_F,X1)) ) )
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf) ),
    inference(nnf_transformation,[],[f544]) ).

fof(f544,plain,
    ! [X2,X3,X1,X0] :
      ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
      | ? [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,X2,X3),hAPP(X0,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,X3,X2),hAPP(X1,X4)) )
      | X2 = 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,X2),hAPP(v_F,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,X3),hAPP(v_F,X0)) )
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf) ),
    inference(flattening,[],[f543]) ).

fof(f543,plain,
    ! [X0,X3,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,X3,X2),hAPP(v_F,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,X3),hAPP(v_F,X0)) )
      | ? [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,X2,X3),hAPP(X0,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,X3,X2),hAPP(X1,X4)) )
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
      | X2 = X3 ),
    inference(ennf_transformation,[],[f539]) ).

fof(f539,plain,
    ! [X0,X3,X1,X2] :
      ( X2 != X3
     => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
       => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
         => ( ! [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,X2,X3),hAPP(X0,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,X3,X2),hAPP(X1,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,X3,X2),hAPP(v_F,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,X3),hAPP(v_F,X0)) ) ) ) ) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X28,X15,X22,X23] :
      ( X22 != X23
     => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X15,c_Arrow__Order__Mirabelle_OProf)
       => ( c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X28,c_Arrow__Order__Mirabelle_OProf)
         => ( ! [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,X22,X23),hAPP(X28,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,X23,X22),hAPP(X15,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,X23,X22),hAPP(v_F,X15))
            <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X22,X23),hAPP(v_F,X28)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__C3_C) ).

fof(f1059,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_b____,v_a____),hAPP(v_P_H____,sK3(v_a____,v_b____,v_P_H____,v_P____)))
    | ~ spl5_1
    | ~ spl5_4
    | ~ spl5_5
    | ~ spl5_9 ),
    inference(resolution,[],[f1058,f799]) ).

fof(f799,plain,
    ( ! [X0] :
        ( ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,X0))
        | c_member(tc_prod(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_b____,v_a____),hAPP(v_P_H____,X0)) )
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(backward_demodulation,[],[f742,f721]) ).

fof(f742,plain,
    ( ! [X0] :
        ( ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,X0))
        | c_member(tc_prod(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_a_H____,v_a____),hAPP(v_P_H____,X0)) )
    | ~ spl5_4 ),
    inference(backward_demodulation,[],[f600,f717]) ).

fof(f1021,plain,
    ( ~ spl5_8
    | spl5_2
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(avatar_split_clause,[],[f1020,f719,f715,f644,f878]) ).

fof(f1020,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_b____,v_a____),hAPP(v_F,v_P_H____))
    | spl5_2
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(forward_demodulation,[],[f1019,f721]) ).

fof(f1019,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_a_H____,v_a____),hAPP(v_F,v_P_H____))
    | spl5_2
    | ~ spl5_4 ),
    inference(forward_demodulation,[],[f645,f717]) ).

fof(f1018,plain,
    ( spl5_8
    | spl5_9
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(avatar_split_clause,[],[f1017,f719,f715,f882,f878]) ).

fof(f1017,plain,
    ( ! [X0] :
        ( c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK3(v_a____,v_b____,v_P_H____,X0)))
        | c_member(tc_prod(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_a____,v_b____),hAPP(X0,sK3(v_a____,v_b____,v_P_H____,X0)))
        | c_member(tc_prod(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_b____,v_a____),hAPP(v_F,v_P_H____))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(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_a____,v_b____),hAPP(v_F,X0)) )
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(forward_demodulation,[],[f1016,f721]) ).

fof(f1016,plain,
    ( ! [X0] :
        ( c_member(tc_prod(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_b____,v_a____),hAPP(v_F,v_P_H____))
        | ~ c_member(tc_prod(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_a____,v_a_H____),hAPP(v_F,X0))
        | c_member(tc_prod(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_a____,v_b____),hAPP(X0,sK3(v_a____,v_b____,v_P_H____,X0)))
        | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK3(v_a____,v_b____,v_P_H____,X0)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(forward_demodulation,[],[f1015,f721]) ).

fof(f1015,plain,
    ( ! [X0] :
        ( c_member(tc_prod(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_a____,v_b____),hAPP(X0,sK3(v_a____,v_b____,v_P_H____,X0)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(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_b____,v_a____),hAPP(v_F,v_P_H____))
        | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK3(v_a____,v_a_H____,v_P_H____,X0)))
        | ~ c_member(tc_prod(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_a____,v_a_H____),hAPP(v_F,X0)) )
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(forward_demodulation,[],[f1014,f721]) ).

fof(f1014,plain,
    ( ! [X0] :
        ( c_member(tc_prod(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_a____,v_a_H____),hAPP(X0,sK3(v_a____,v_a_H____,v_P_H____,X0)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(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_a____,v_a_H____),hAPP(v_F,X0))
        | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK3(v_a____,v_a_H____,v_P_H____,X0)))
        | c_member(tc_prod(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_b____,v_a____),hAPP(v_F,v_P_H____)) )
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(forward_demodulation,[],[f1013,f721]) ).

fof(f1013,plain,
    ( ! [X0] :
        ( c_member(tc_prod(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_a_H____,v_a____),hAPP(v_F,v_P_H____))
        | ~ c_member(tc_prod(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_a____,v_a_H____),hAPP(v_F,X0))
        | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK3(v_a____,v_a_H____,v_P_H____,X0)))
        | c_member(tc_prod(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_a____,v_a_H____),hAPP(X0,sK3(v_a____,v_a_H____,v_P_H____,X0)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl5_4 ),
    inference(subsumption_resolution,[],[f1012,f623]) ).

fof(f1012,plain,
    ( ! [X0] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(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_a____,v_a_H____),hAPP(X0,sK3(v_a____,v_a_H____,v_P_H____,X0)))
        | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK3(v_a____,v_a_H____,v_P_H____,X0)))
        | c_member(tc_prod(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_a_H____,v_a____),hAPP(v_F,v_P_H____))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_prod(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_a____,v_a_H____),hAPP(v_F,X0)) )
    | ~ spl5_4 ),
    inference(subsumption_resolution,[],[f759,f743]) ).

fof(f743,plain,
    ( v_a____ != v_a_H____
    | ~ spl5_4 ),
    inference(backward_demodulation,[],[f610,f717]) ).

fof(f759,plain,
    ( ! [X0] :
        ( ~ c_member(tc_prod(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_a____,v_a_H____),hAPP(v_F,X0))
        | v_a____ = v_a_H____
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(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_a____,v_a_H____),hAPP(X0,sK3(v_a____,v_a_H____,v_P_H____,X0)))
        | c_member(tc_prod(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_a_H____,v_a____),hAPP(v_F,v_P_H____))
        | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK3(v_a____,v_a_H____,v_P_H____,X0))) )
    | ~ spl5_4 ),
    inference(resolution,[],[f741,f618]) ).

fof(f618,plain,
    ! [X2,X3,X0,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,X0),hAPP(X2,sK3(X0,X1,X2,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,X0,X1),hAPP(X3,sK3(X0,X1,X2,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,X1,X0),hAPP(v_F,X2))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | X0 = 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,X0,X1),hAPP(v_F,X3))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf) ),
    inference(cnf_transformation,[],[f584]) ).

fof(f741,plain,
    ( ! [X0] :
        ( ~ c_member(tc_prod(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_a_H____,v_a____),hAPP(v_P_H____,X0))
        | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,X0)) )
    | ~ spl5_4 ),
    inference(backward_demodulation,[],[f599,f717]) ).

fof(f849,plain,
    ( spl5_1
    | ~ spl5_2
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(avatar_contradiction_clause,[],[f848]) ).

fof(f848,plain,
    ( $false
    | spl5_1
    | ~ spl5_2
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(subsumption_resolution,[],[f842,f838]) ).

fof(f838,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_b____,v_a____),hAPP(v_P_H____,sK3(v_b____,v_a____,v_P____,v_P_H____)))
    | spl5_1
    | ~ spl5_2
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(subsumption_resolution,[],[f837,f641]) ).

fof(f837,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_b____,v_a____),hAPP(v_P_H____,sK3(v_b____,v_a____,v_P____,v_P_H____)))
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | spl5_1
    | ~ spl5_2
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(subsumption_resolution,[],[f836,f624]) ).

fof(f836,plain,
    ( v_a____ = v_b____
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | ~ c_member(tc_prod(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_b____,v_a____),hAPP(v_P_H____,sK3(v_b____,v_a____,v_P____,v_P_H____)))
    | spl5_1
    | ~ spl5_2
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(subsumption_resolution,[],[f835,f800]) ).

fof(f800,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_b____,v_a____),hAPP(v_F,v_P_H____))
    | ~ spl5_2
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(backward_demodulation,[],[f744,f721]) ).

fof(f744,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_a_H____,v_a____),hAPP(v_F,v_P_H____))
    | ~ spl5_2
    | ~ spl5_4 ),
    inference(backward_demodulation,[],[f646,f717]) ).

fof(f835,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_b____,v_a____),hAPP(v_F,v_P_H____))
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | ~ c_member(tc_prod(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_b____,v_a____),hAPP(v_P_H____,sK3(v_b____,v_a____,v_P____,v_P_H____)))
    | v_a____ = v_b____
    | spl5_1
    | ~ spl5_2
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(subsumption_resolution,[],[f834,f627]) ).

fof(f834,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | ~ c_member(tc_prod(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_b____,v_a____),hAPP(v_F,v_P_H____))
    | ~ c_member(tc_prod(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_b____,v_a____),hAPP(v_P_H____,sK3(v_b____,v_a____,v_P____,v_P_H____)))
    | v_a____ = v_b____
    | spl5_1
    | ~ spl5_2
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(subsumption_resolution,[],[f832,f623]) ).

fof(f832,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_b____,v_a____),hAPP(v_P_H____,sK3(v_b____,v_a____,v_P____,v_P_H____)))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
    | v_a____ = v_b____
    | ~ c_member(tc_prod(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_b____,v_a____),hAPP(v_F,v_P_H____))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | spl5_1
    | ~ spl5_2
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(resolution,[],[f831,f620]) ).

fof(f831,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_a____,v_b____),hAPP(v_P____,sK3(v_b____,v_a____,v_P____,v_P_H____)))
    | spl5_1
    | ~ spl5_2
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(subsumption_resolution,[],[f830,f800]) ).

fof(f830,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_b____,v_a____),hAPP(v_F,v_P_H____))
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK3(v_b____,v_a____,v_P____,v_P_H____)))
    | spl5_1
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(subsumption_resolution,[],[f822,f623]) ).

fof(f822,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_prod(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_b____,v_a____),hAPP(v_F,v_P_H____))
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK3(v_b____,v_a____,v_P____,v_P_H____)))
    | spl5_1
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(duplicate_literal_removal,[],[f815]) ).

fof(f815,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK3(v_b____,v_a____,v_P____,v_P_H____)))
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK3(v_b____,v_a____,v_P____,v_P_H____)))
    | ~ c_member(tc_prod(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_b____,v_a____),hAPP(v_F,v_P_H____))
    | spl5_1
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(resolution,[],[f798,f666]) ).

fof(f666,plain,
    ( ! [X0] :
        ( c_member(tc_prod(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_b____,v_a____),hAPP(X0,sK3(v_b____,v_a____,v_P____,X0)))
        | ~ c_member(tc_prod(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_b____,v_a____),hAPP(v_F,X0))
        | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK3(v_b____,v_a____,v_P____,X0)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf) )
    | spl5_1 ),
    inference(resolution,[],[f665,f599]) ).

fof(f665,plain,
    ( ! [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_a_H____,v_b_H____),hAPP(v_P_H____,sK3(v_b____,v_a____,v_P____,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_b____,v_a____),hAPP(v_F,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_b____,v_a____),hAPP(X1,sK3(v_b____,v_a____,v_P____,X1)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf) )
    | spl5_1 ),
    inference(subsumption_resolution,[],[f664,f627]) ).

fof(f664,plain,
    ( ! [X1] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(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_b____,v_a____),hAPP(X1,sK3(v_b____,v_a____,v_P____,X1)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_P_H____,sK3(v_b____,v_a____,v_P____,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_b____,v_a____),hAPP(v_F,X1)) )
    | spl5_1 ),
    inference(subsumption_resolution,[],[f663,f641]) ).

fof(f663,plain,
    ! [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_b____,v_a____),hAPP(X1,sK3(v_b____,v_a____,v_P____,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_a_H____,v_b_H____),hAPP(v_P_H____,sK3(v_b____,v_a____,v_P____,X1)))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
      | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
      | ~ c_member(tc_prod(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_b____,v_a____),hAPP(v_F,X1))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf) ),
    inference(subsumption_resolution,[],[f660,f624]) ).

fof(f660,plain,
    ! [X1] :
      ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X1,c_Arrow__Order__Mirabelle_OProf)
      | c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_P_H____,sK3(v_b____,v_a____,v_P____,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_b____,v_a____),hAPP(X1,sK3(v_b____,v_a____,v_P____,X1)))
      | v_a____ = v_b____
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
      | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
      | ~ c_member(tc_prod(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_b____,v_a____),hAPP(v_F,X1)) ),
    inference(resolution,[],[f618,f600]) ).

fof(f798,plain,
    ( ! [X0] :
        ( ~ c_member(tc_prod(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_b____,v_a____),hAPP(v_P_H____,X0))
        | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,X0)) )
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(backward_demodulation,[],[f741,f721]) ).

fof(f842,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_b____,v_a____),hAPP(v_P_H____,sK3(v_b____,v_a____,v_P____,v_P_H____)))
    | spl5_1
    | ~ spl5_2
    | ~ spl5_4
    | ~ spl5_5 ),
    inference(resolution,[],[f799,f831]) ).

fof(f797,plain,
    ( spl5_6
    | spl5_5
    | spl5_1
    | ~ spl5_2
    | ~ spl5_4 ),
    inference(avatar_split_clause,[],[f792,f715,f644,f640,f719,f794]) ).

fof(f792,plain,
    ( v_b____ = v_a_H____
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK1(v_a____,v_P____,v_a_H____,v_b____,v_P_H____)))
    | spl5_1
    | ~ spl5_2
    | ~ spl5_4 ),
    inference(subsumption_resolution,[],[f791,f624]) ).

fof(f791,plain,
    ( v_b____ = v_a_H____
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK1(v_a____,v_P____,v_a_H____,v_b____,v_P_H____)))
    | v_a____ = v_b____
    | spl5_1
    | ~ spl5_2
    | ~ spl5_4 ),
    inference(subsumption_resolution,[],[f790,f627]) ).

fof(f790,plain,
    ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | v_b____ = v_a_H____
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK1(v_a____,v_P____,v_a_H____,v_b____,v_P_H____)))
    | v_a____ = v_b____
    | spl5_1
    | ~ spl5_2
    | ~ spl5_4 ),
    inference(subsumption_resolution,[],[f789,f641]) ).

fof(f789,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_a____,v_b____),hAPP(v_F,v_P____))
    | v_b____ = v_a_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
    | v_a____ = v_b____
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK1(v_a____,v_P____,v_a_H____,v_b____,v_P_H____)))
    | ~ spl5_2
    | ~ spl5_4 ),
    inference(factoring,[],[f756]) ).

fof(f756,plain,
    ( ! [X2,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,v_a____,v_b____),hAPP(v_P____,sK1(v_a____,X3,v_a_H____,X2,v_P_H____)))
        | v_a____ = X2
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)
        | v_a_H____ = 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,v_a____,X2),hAPP(X3,sK1(v_a____,X3,v_a_H____,X2,v_P_H____)))
        | c_member(tc_prod(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_a____,X2),hAPP(v_F,X3)) )
    | ~ spl5_2
    | ~ spl5_4 ),
    inference(forward_demodulation,[],[f755,f717]) ).

fof(f755,plain,
    ( ! [X2,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,v_a____,v_b____),hAPP(v_P____,sK1(v_a____,X3,v_a_H____,X2,v_P_H____)))
        | c_member(tc_prod(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_a____,X2),hAPP(v_F,X3))
        | v_a_H____ = 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,v_b_H____,X2),hAPP(X3,sK1(v_b_H____,X3,v_a_H____,X2,v_P_H____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)
        | v_a____ = X2 )
    | ~ spl5_2
    | ~ spl5_4 ),
    inference(forward_demodulation,[],[f754,f717]) ).

fof(f754,plain,
    ( ! [X2,X3] :
        ( v_a____ = 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,v_a____,v_b____),hAPP(v_P____,sK1(v_b_H____,X3,v_a_H____,X2,v_P_H____)))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(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_b_H____,X2),hAPP(X3,sK1(v_b_H____,X3,v_a_H____,X2,v_P_H____)))
        | c_member(tc_prod(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_a____,X2),hAPP(v_F,X3))
        | v_a_H____ = X2 )
    | ~ spl5_2
    | ~ spl5_4 ),
    inference(forward_demodulation,[],[f747,f717]) ).

fof(f747,plain,
    ( ! [X2,X3] :
        ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(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_b_H____,X2),hAPP(v_F,X3))
        | v_a_H____ = 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,v_a____,v_b____),hAPP(v_P____,sK1(v_b_H____,X3,v_a_H____,X2,v_P_H____)))
        | c_member(tc_prod(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_b_H____,X2),hAPP(X3,sK1(v_b_H____,X3,v_a_H____,X2,v_P_H____)))
        | v_a____ = X2 )
    | ~ spl5_2
    | ~ spl5_4 ),
    inference(backward_demodulation,[],[f681,f717]) ).

fof(f681,plain,
    ( ! [X2,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,v_b_H____,X2),hAPP(X3,sK1(v_b_H____,X3,v_a_H____,X2,v_P_H____)))
        | c_member(tc_prod(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_b_H____,X2),hAPP(v_F,X3))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)
        | v_a_H____ = 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,v_a____,v_b____),hAPP(v_P____,sK1(v_b_H____,X3,v_a_H____,X2,v_P_H____)))
        | v_b_H____ = X2 )
    | ~ spl5_2 ),
    inference(subsumption_resolution,[],[f680,f610]) ).

fof(f680,plain,
    ( ! [X2,X3] :
        ( v_a_H____ = 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,v_a____,v_b____),hAPP(v_P____,sK1(v_b_H____,X3,v_a_H____,X2,v_P_H____)))
        | c_member(tc_prod(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_b_H____,X2),hAPP(X3,sK1(v_b_H____,X3,v_a_H____,X2,v_P_H____)))
        | v_b_H____ = X2
        | v_a_H____ = v_b_H____
        | c_member(tc_prod(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_b_H____,X2),hAPP(v_F,X3))
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl5_2 ),
    inference(subsumption_resolution,[],[f679,f623]) ).

fof(f679,plain,
    ( ! [X2,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,v_b_H____,X2),hAPP(X3,sK1(v_b_H____,X3,v_a_H____,X2,v_P_H____)))
        | c_member(tc_prod(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_a____,v_b____),hAPP(v_P____,sK1(v_b_H____,X3,v_a_H____,X2,v_P_H____)))
        | v_b_H____ = X2
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf)
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
        | v_a_H____ = v_b_H____
        | c_member(tc_prod(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_b_H____,X2),hAPP(v_F,X3))
        | v_a_H____ = X2 )
    | ~ spl5_2 ),
    inference(subsumption_resolution,[],[f676,f646]) ).

fof(f676,plain,
    ! [X2,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,v_a____,v_b____),hAPP(v_P____,sK1(v_b_H____,X3,v_a_H____,X2,v_P_H____)))
      | v_a_H____ = v_b_H____
      | v_b_H____ = 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,v_a_H____,v_b_H____),hAPP(v_F,v_P_H____))
      | c_member(tc_prod(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_b_H____,X2),hAPP(X3,sK1(v_b_H____,X3,v_a_H____,X2,v_P_H____)))
      | v_a_H____ = 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,v_b_H____,X2),hAPP(v_F,X3))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X3,c_Arrow__Order__Mirabelle_OProf) ),
    inference(resolution,[],[f595,f599]) ).

fof(f722,plain,
    ( spl5_3
    | spl5_4
    | spl5_5
    | spl5_1
    | ~ spl5_2 ),
    inference(avatar_split_clause,[],[f709,f644,f640,f719,f715,f711]) ).

fof(f709,plain,
    ( v_b____ = v_a_H____
    | v_a____ = v_b_H____
    | c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_P_H____,sK0(v_b_H____,v_P____,v_a_H____,v_a____,v_P_H____,v_b____)))
    | spl5_1
    | ~ spl5_2 ),
    inference(subsumption_resolution,[],[f708,f623]) ).

fof(f708,plain,
    ( v_a____ = v_b_H____
    | v_b____ = v_a_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_P_H____,sK0(v_b_H____,v_P____,v_a_H____,v_a____,v_P_H____,v_b____)))
    | spl5_1
    | ~ spl5_2 ),
    inference(subsumption_resolution,[],[f707,f610]) ).

fof(f707,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_a_H____,v_b_H____),hAPP(v_P_H____,sK0(v_b_H____,v_P____,v_a_H____,v_a____,v_P_H____,v_b____)))
    | v_a_H____ = v_b_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | v_b____ = v_a_H____
    | v_a____ = v_b_H____
    | spl5_1
    | ~ spl5_2 ),
    inference(subsumption_resolution,[],[f706,f646]) ).

fof(f706,plain,
    ( v_a____ = v_b_H____
    | v_b____ = v_a_H____
    | ~ c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_F,v_P_H____))
    | c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_P_H____,sK0(v_b_H____,v_P____,v_a_H____,v_a____,v_P_H____,v_b____)))
    | v_a_H____ = v_b_H____
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | spl5_1 ),
    inference(factoring,[],[f704]) ).

fof(f704,plain,
    ( ! [X2,X0,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_a_H____,v_b_H____),hAPP(v_P_H____,sK0(X1,v_P____,X2,v_a____,X0,v_b____)))
        | 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),hAPP(v_F,X0))
        | v_a____ = X1
        | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
        | c_member(tc_prod(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),hAPP(X0,sK0(X1,v_P____,X2,v_a____,X0,v_b____)))
        | v_b____ = X2 )
    | spl5_1 ),
    inference(subsumption_resolution,[],[f703,f641]) ).

fof(f703,plain,
    ! [X2,X0,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),hAPP(v_F,X0))
      | c_member(tc_prod(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),hAPP(X0,sK0(X1,v_P____,X2,v_a____,X0,v_b____)))
      | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
      | v_b____ = X2
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
      | c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_P_H____,sK0(X1,v_P____,X2,v_a____,X0,v_b____)))
      | X1 = X2
      | v_a____ = X1 ),
    inference(subsumption_resolution,[],[f702,f624]) ).

fof(f702,plain,
    ! [X2,X0,X1] :
      ( v_a____ = X1
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
      | c_member(tc_prod(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),hAPP(X0,sK0(X1,v_P____,X2,v_a____,X0,v_b____)))
      | v_b____ = X2
      | X1 = X2
      | v_a____ = v_b____
      | c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_P_H____,sK0(X1,v_P____,X2,v_a____,X0,v_b____)))
      | ~ c_member(tc_prod(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),hAPP(v_F,X0))
      | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____)) ),
    inference(subsumption_resolution,[],[f698,f627]) ).

fof(f698,plain,
    ! [X2,X0,X1] :
      ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf)
      | v_a____ = X1
      | v_b____ = 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,v_a____,v_b____),hAPP(v_F,v_P____))
      | c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_P_H____,sK0(X1,v_P____,X2,v_a____,X0,v_b____)))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0,c_Arrow__Order__Mirabelle_OProf)
      | c_member(tc_prod(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),hAPP(X0,sK0(X1,v_P____,X2,v_a____,X0,v_b____)))
      | ~ c_member(tc_prod(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),hAPP(v_F,X0))
      | X1 = X2
      | v_a____ = v_b____ ),
    inference(resolution,[],[f591,f600]) ).

fof(f648,plain,
    ( ~ spl5_2
    | ~ spl5_1 ),
    inference(avatar_split_clause,[],[f602,f640,f644]) ).

fof(f602,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_a____,v_b____),hAPP(v_F,v_P____))
    | ~ c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_F,v_P_H____)) ),
    inference(cnf_transformation,[],[f569]) ).

fof(f569,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_a____,v_b____),hAPP(v_F,v_P____))
      | ~ c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_F,v_P_H____)) )
    & ( c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____))
      | c_member(tc_prod(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_a_H____,v_b_H____),hAPP(v_F,v_P_H____)) ) ),
    inference(nnf_transformation,[],[f551]) ).

fof(f551,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_a_H____,v_b_H____),hAPP(v_F,v_P_H____))
  <~> c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____)) ),
    inference(ennf_transformation,[],[f530]) ).

fof(f530,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_a_H____,v_b_H____),hAPP(v_F,v_P_H____))
    <=> c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____)) ),
    inference(negated_conjecture,[],[f529]) ).

fof(f529,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_a_H____,v_b_H____),hAPP(v_F,v_P_H____))
  <=> c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f647,plain,
    ( spl5_1
    | spl5_2 ),
    inference(avatar_split_clause,[],[f601,f644,f640]) ).

fof(f601,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_a_H____,v_b_H____),hAPP(v_F,v_P_H____))
    | c_member(tc_prod(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_a____,v_b____),hAPP(v_F,v_P____)) ),
    inference(cnf_transformation,[],[f569]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SCT154+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 12:46:15 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.54  % (21769)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.54  % (21770)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.55  % (21778)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.28/0.55  % (21781)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.28/0.55  % (21786)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.28/0.55  % (21766)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.28/0.55  % (21768)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.28/0.55  % (21771)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.28/0.56  % (21772)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.28/0.56  % (21790)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.28/0.56  % (21766)Instruction limit reached!
% 1.28/0.56  % (21766)------------------------------
% 1.28/0.56  % (21766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.56  % (21781)Instruction limit reached!
% 1.28/0.56  % (21781)------------------------------
% 1.28/0.56  % (21781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.56  % (21781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.56  % (21766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.56  % (21781)Termination reason: Unknown
% 1.28/0.56  % (21766)Termination reason: Unknown
% 1.28/0.56  % (21766)Termination phase: Saturation
% 1.28/0.56  % (21781)Termination phase: Preprocessing 1
% 1.28/0.56  
% 1.28/0.56  
% 1.28/0.56  % (21766)Memory used [KB]: 2302
% 1.28/0.56  % (21766)Time elapsed: 0.008 s
% 1.28/0.56  % (21766)Instructions burned: 14 (million)
% 1.28/0.56  % (21766)------------------------------
% 1.28/0.56  % (21766)------------------------------
% 1.28/0.56  % (21779)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.28/0.56  % (21768)Refutation not found, incomplete strategy% (21768)------------------------------
% 1.28/0.56  % (21768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.56  % (21768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.56  % (21768)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.56  
% 1.28/0.56  % (21768)Memory used [KB]: 6780
% 1.28/0.56  % (21768)Time elapsed: 0.122 s
% 1.28/0.56  % (21768)Instructions burned: 11 (million)
% 1.28/0.56  % (21768)------------------------------
% 1.28/0.56  % (21768)------------------------------
% 1.28/0.56  % (21781)Memory used [KB]: 2302
% 1.28/0.56  % (21781)Time elapsed: 0.008 s
% 1.28/0.56  % (21781)Instructions burned: 7 (million)
% 1.28/0.56  % (21781)------------------------------
% 1.28/0.56  % (21781)------------------------------
% 1.28/0.56  % (21767)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.28/0.56  % (21788)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.28/0.56  % (21792)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.28/0.56  % (21767)Instruction limit reached!
% 1.28/0.56  % (21767)------------------------------
% 1.28/0.56  % (21767)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.56  % (21767)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.56  % (21767)Termination reason: Unknown
% 1.28/0.56  % (21767)Termination phase: Preprocessing 1
% 1.28/0.56  
% 1.28/0.56  % (21767)Memory used [KB]: 2046
% 1.28/0.56  % (21767)Time elapsed: 0.004 s
% 1.28/0.56  % (21767)Instructions burned: 3 (million)
% 1.28/0.56  % (21767)------------------------------
% 1.28/0.56  % (21767)------------------------------
% 1.28/0.56  % (21769)Instruction limit reached!
% 1.28/0.56  % (21769)------------------------------
% 1.28/0.56  % (21769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.56  % (21769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.56  % (21785)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.28/0.56  % (21769)Termination reason: Unknown
% 1.28/0.56  % (21769)Termination phase: Saturation
% 1.28/0.56  
% 1.28/0.56  % (21769)Memory used [KB]: 6780
% 1.28/0.56  % (21769)Time elapsed: 0.126 s
% 1.28/0.56  % (21769)Instructions burned: 14 (million)
% 1.28/0.56  % (21769)------------------------------
% 1.28/0.56  % (21769)------------------------------
% 1.47/0.56  % (21782)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.47/0.56  % (21778)Instruction limit reached!
% 1.47/0.56  % (21778)------------------------------
% 1.47/0.56  % (21778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56  % (21778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56  % (21778)Termination reason: Unknown
% 1.47/0.56  % (21778)Termination phase: Preprocessing 3
% 1.47/0.56  
% 1.47/0.56  % (21778)Memory used [KB]: 2814
% 1.47/0.56  % (21778)Time elapsed: 0.013 s
% 1.47/0.56  % (21778)Instructions burned: 16 (million)
% 1.47/0.56  % (21778)------------------------------
% 1.47/0.56  % (21778)------------------------------
% 1.47/0.57  % (21795)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.47/0.57  % (21770)Instruction limit reached!
% 1.47/0.57  % (21770)------------------------------
% 1.47/0.57  % (21770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.57  % (21789)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.47/0.57  % (21787)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.47/0.57  % (21775)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.47/0.57  % (21783)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.47/0.57  % (21791)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.47/0.57  % (21776)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.47/0.57  % (21783)Instruction limit reached!
% 1.47/0.57  % (21783)------------------------------
% 1.47/0.57  % (21783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.57  % (21783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.57  % (21783)Termination reason: Unknown
% 1.47/0.57  % (21783)Termination phase: Preprocessing 1
% 1.47/0.57  
% 1.47/0.57  % (21783)Memory used [KB]: 2174
% 1.47/0.57  % (21783)Time elapsed: 0.003 s
% 1.47/0.57  % (21783)Instructions burned: 4 (million)
% 1.47/0.57  % (21783)------------------------------
% 1.47/0.57  % (21783)------------------------------
% 1.47/0.57  % (21777)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.47/0.57  % (21777)Instruction limit reached!
% 1.47/0.57  % (21777)------------------------------
% 1.47/0.57  % (21777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.57  % (21777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.57  % (21777)Termination reason: Unknown
% 1.47/0.57  % (21777)Termination phase: Preprocessing 1
% 1.47/0.57  
% 1.47/0.57  % (21777)Memory used [KB]: 2302
% 1.47/0.57  % (21777)Time elapsed: 0.005 s
% 1.47/0.57  % (21777)Instructions burned: 7 (million)
% 1.47/0.57  % (21777)------------------------------
% 1.47/0.57  % (21777)------------------------------
% 1.47/0.57  % (21776)Instruction limit reached!
% 1.47/0.57  % (21776)------------------------------
% 1.47/0.57  % (21776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.57  % (21776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.57  % (21776)Termination reason: Unknown
% 1.47/0.57  % (21776)Termination phase: Preprocessing 2
% 1.47/0.57  
% 1.47/0.57  % (21776)Memory used [KB]: 2686
% 1.47/0.57  % (21776)Time elapsed: 0.008 s
% 1.47/0.57  % (21776)Instructions burned: 12 (million)
% 1.47/0.57  % (21776)------------------------------
% 1.47/0.57  % (21776)------------------------------
% 1.47/0.58  % (21785)Instruction limit reached!
% 1.47/0.58  % (21785)------------------------------
% 1.47/0.58  % (21785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.58  % (21785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.58  % (21785)Termination reason: Unknown
% 1.47/0.58  % (21785)Termination phase: Preprocessing 3
% 1.47/0.58  
% 1.47/0.58  % (21785)Memory used [KB]: 2430
% 1.47/0.58  % (21785)Time elapsed: 0.007 s
% 1.47/0.58  % (21785)Instructions burned: 11 (million)
% 1.47/0.58  % (21785)------------------------------
% 1.47/0.58  % (21785)------------------------------
% 1.47/0.58  % (21765)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.47/0.58  % (21794)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.47/0.58  % (21780)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.47/0.58  % (21780)Instruction limit reached!
% 1.47/0.58  % (21780)------------------------------
% 1.47/0.58  % (21780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.58  % (21780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.58  % (21780)Termination reason: Unknown
% 1.47/0.58  % (21780)Termination phase: Preprocessing 1
% 1.47/0.58  
% 1.47/0.58  % (21780)Memory used [KB]: 2046
% 1.47/0.58  % (21780)Time elapsed: 0.004 s
% 1.47/0.58  % (21780)Instructions burned: 3 (million)
% 1.47/0.58  % (21780)------------------------------
% 1.47/0.58  % (21780)------------------------------
% 1.47/0.58  % (21794)Instruction limit reached!
% 1.47/0.58  % (21794)------------------------------
% 1.47/0.58  % (21794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.58  % (21794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.58  % (21794)Termination reason: Unknown
% 1.47/0.58  % (21794)Termination phase: Unused predicate definition removal
% 1.47/0.58  
% 1.47/0.58  % (21794)Memory used [KB]: 2558
% 1.47/0.58  % (21794)Time elapsed: 0.007 s
% 1.47/0.58  % (21794)Instructions burned: 9 (million)
% 1.47/0.58  % (21794)------------------------------
% 1.47/0.58  % (21794)------------------------------
% 1.47/0.58  % (21774)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.47/0.59  % (21770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.59  % (21770)Termination reason: Unknown
% 1.47/0.59  % (21770)Termination phase: Preprocessing 3
% 1.47/0.59  
% 1.47/0.59  % (21770)Memory used [KB]: 2814
% 1.47/0.59  % (21770)Time elapsed: 0.011 s
% 1.47/0.59  % (21770)Instructions burned: 16 (million)
% 1.47/0.59  % (21770)------------------------------
% 1.47/0.59  % (21770)------------------------------
% 1.47/0.59  % (21793)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.47/0.60  % (21784)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.47/0.60  % (21784)Instruction limit reached!
% 1.47/0.60  % (21784)------------------------------
% 1.47/0.60  % (21784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.60  % (21784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.60  % (21784)Termination reason: Unknown
% 1.47/0.60  % (21784)Termination phase: shuffling
% 1.47/0.60  
% 1.47/0.60  % (21784)Memory used [KB]: 1918
% 1.47/0.60  % (21784)Time elapsed: 0.003 s
% 1.47/0.60  % (21784)Instructions burned: 2 (million)
% 1.47/0.60  % (21784)------------------------------
% 1.47/0.60  % (21784)------------------------------
% 1.47/0.60  % (21786)Instruction limit reached!
% 1.47/0.60  % (21786)------------------------------
% 1.47/0.60  % (21786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.60  % (21786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.60  % (21786)Termination reason: Unknown
% 1.47/0.60  % (21786)Termination phase: Property scanning
% 1.47/0.60  
% 1.47/0.60  % (21786)Memory used [KB]: 3070
% 1.47/0.60  % (21786)Time elapsed: 0.016 s
% 1.47/0.60  % (21786)Instructions burned: 30 (million)
% 1.47/0.60  % (21786)------------------------------
% 1.47/0.60  % (21786)------------------------------
% 1.47/0.61  % (21772)Instruction limit reached!
% 1.47/0.61  % (21772)------------------------------
% 1.47/0.61  % (21772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.61  % (21772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.61  % (21772)Termination reason: Unknown
% 1.47/0.61  % (21772)Termination phase: Function definition elimination
% 1.47/0.61  
% 1.47/0.61  % (21772)Memory used [KB]: 3454
% 1.47/0.61  % (21772)Time elapsed: 0.032 s
% 1.47/0.61  % (21772)Instructions burned: 40 (million)
% 1.47/0.61  % (21772)------------------------------
% 1.47/0.61  % (21772)------------------------------
% 1.47/0.61  % (21795)Instruction limit reached!
% 1.47/0.61  % (21795)------------------------------
% 1.47/0.61  % (21795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.61  % (21795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.61  % (21795)Termination reason: Unknown
% 1.47/0.61  % (21795)Termination phase: Property scanning
% 1.47/0.61  
% 1.47/0.61  % (21795)Memory used [KB]: 3198
% 1.47/0.61  % (21795)Time elapsed: 0.015 s
% 1.47/0.61  % (21795)Instructions burned: 26 (million)
% 1.47/0.61  % (21795)------------------------------
% 1.47/0.61  % (21795)------------------------------
% 1.47/0.61  % (21775)Instruction limit reached!
% 1.47/0.61  % (21775)------------------------------
% 1.47/0.61  % (21775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.61  % (21775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.61  % (21775)Termination reason: Unknown
% 1.47/0.61  % (21775)Termination phase: Property scanning
% 1.47/0.61  
% 1.47/0.61  % (21775)Memory used [KB]: 3070
% 1.47/0.61  % (21775)Time elapsed: 0.016 s
% 1.47/0.61  % (21775)Instructions burned: 34 (million)
% 1.47/0.61  % (21775)------------------------------
% 1.47/0.61  % (21775)------------------------------
% 1.47/0.62  % (21789)Instruction limit reached!
% 1.47/0.62  % (21789)------------------------------
% 1.47/0.62  % (21789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.62  % (21789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.62  % (21789)Termination reason: Unknown
% 1.47/0.62  % (21789)Termination phase: Property scanning
% 1.47/0.62  
% 1.47/0.62  % (21789)Memory used [KB]: 3454
% 1.47/0.62  % (21789)Time elapsed: 0.021 s
% 1.47/0.62  % (21789)Instructions burned: 45 (million)
% 1.47/0.62  % (21789)------------------------------
% 1.47/0.62  % (21789)------------------------------
% 1.47/0.62  % (21771)Instruction limit reached!
% 1.47/0.62  % (21771)------------------------------
% 1.47/0.62  % (21771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.62  % (21771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.62  % (21771)Termination reason: Unknown
% 1.47/0.62  % (21771)Termination phase: Saturation
% 1.47/0.62  
% 1.47/0.62  % (21771)Memory used [KB]: 6908
% 1.47/0.62  % (21771)Time elapsed: 0.166 s
% 1.47/0.62  % (21771)Instructions burned: 40 (million)
% 1.47/0.62  % (21771)------------------------------
% 1.47/0.62  % (21771)------------------------------
% 1.85/0.63  % (21793)Instruction limit reached!
% 1.85/0.63  % (21793)------------------------------
% 1.85/0.63  % (21793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.63  % (21793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.63  % (21793)Termination reason: Unknown
% 1.85/0.63  % (21793)Termination phase: Preprocessing 3
% 1.85/0.63  
% 1.85/0.63  % (21793)Memory used [KB]: 3198
% 1.85/0.63  % (21793)Time elapsed: 0.014 s
% 1.85/0.63  % (21793)Instructions burned: 25 (million)
% 1.85/0.63  % (21793)------------------------------
% 1.85/0.63  % (21793)------------------------------
% 1.85/0.63  % (21779)Instruction limit reached!
% 1.85/0.63  % (21779)------------------------------
% 1.85/0.63  % (21779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.63  % (21779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.63  % (21779)Termination reason: Unknown
% 1.85/0.63  % (21779)Termination phase: Saturation
% 1.85/0.63  
% 1.85/0.63  % (21779)Memory used [KB]: 7419
% 1.85/0.63  % (21779)Time elapsed: 0.201 s
% 1.85/0.63  % (21779)Instructions burned: 51 (million)
% 1.85/0.63  % (21779)------------------------------
% 1.85/0.63  % (21779)------------------------------
% 1.85/0.63  % (21790)Instruction limit reached!
% 1.85/0.63  % (21790)------------------------------
% 1.85/0.63  % (21790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.63  % (21790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.63  % (21790)Termination reason: Unknown
% 1.85/0.63  % (21790)Termination phase: Property scanning
% 1.85/0.63  
% 1.85/0.63  % (21790)Memory used [KB]: 3454
% 1.85/0.63  % (21790)Time elapsed: 0.024 s
% 1.85/0.63  % (21790)Instructions burned: 51 (million)
% 1.85/0.63  % (21790)------------------------------
% 1.85/0.63  % (21790)------------------------------
% 1.85/0.64  % (21782)Instruction limit reached!
% 1.85/0.64  % (21782)------------------------------
% 1.85/0.64  % (21782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.64  % (21782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.64  % (21782)Termination reason: Unknown
% 1.85/0.64  % (21782)Termination phase: Property scanning
% 1.85/0.64  
% 1.85/0.64  % (21782)Memory used [KB]: 3454
% 1.85/0.64  % (21782)Time elapsed: 0.023 s
% 1.85/0.64  % (21782)Instructions burned: 52 (million)
% 1.85/0.64  % (21782)------------------------------
% 1.85/0.64  % (21782)------------------------------
% 1.97/0.67  % (21774)Instruction limit reached!
% 1.97/0.67  % (21774)------------------------------
% 1.97/0.67  % (21774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.67  % (21774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.67  % (21774)Termination reason: Unknown
% 1.97/0.67  % (21774)Termination phase: Saturation
% 1.97/0.67  
% 1.97/0.67  % (21774)Memory used [KB]: 7164
% 1.97/0.67  % (21774)Time elapsed: 0.224 s
% 1.97/0.67  % (21774)Instructions burned: 50 (million)
% 1.97/0.67  % (21774)------------------------------
% 1.97/0.67  % (21774)------------------------------
% 1.97/0.67  % (21846)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 1.97/0.68  % (21787)Instruction limit reached!
% 1.97/0.68  % (21787)------------------------------
% 1.97/0.68  % (21787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.68  % (21787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.68  % (21787)Termination reason: Unknown
% 1.97/0.68  % (21787)Termination phase: Saturation
% 1.97/0.68  
% 1.97/0.68  % (21787)Memory used [KB]: 9338
% 1.97/0.68  % (21787)Time elapsed: 0.239 s
% 1.97/0.68  % (21787)Instructions burned: 99 (million)
% 1.97/0.68  % (21787)------------------------------
% 1.97/0.68  % (21787)------------------------------
% 1.97/0.68  % (21842)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/92Mi)
% 1.97/0.68  % (21843)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 1.97/0.68  % (21859)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 1.97/0.68  % (21842)Refutation not found, incomplete strategy% (21842)------------------------------
% 1.97/0.68  % (21842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.69  % (21788)Instruction limit reached!
% 1.97/0.69  % (21788)------------------------------
% 1.97/0.69  % (21788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.69  % (21788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.69  % (21788)Termination reason: Unknown
% 1.97/0.69  % (21788)Termination phase: Saturation
% 1.97/0.69  
% 1.97/0.69  % (21788)Memory used [KB]: 8443
% 1.97/0.69  % (21788)Time elapsed: 0.232 s
% 1.97/0.69  % (21788)Instructions burned: 82 (million)
% 1.97/0.69  % (21788)------------------------------
% 1.97/0.69  % (21788)------------------------------
% 1.97/0.69  % (21847)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 1.97/0.69  % (21849)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/56Mi)
% 1.97/0.69  % (21845)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/87Mi)
% 1.97/0.70  % (21842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.70  % (21853)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 1.97/0.70  % (21842)Termination reason: Refutation not found, incomplete strategy
% 1.97/0.70  
% 1.97/0.70  % (21842)Memory used [KB]: 6652
% 1.97/0.70  % (21842)Time elapsed: 0.089 s
% 1.97/0.70  % (21842)Instructions burned: 8 (million)
% 1.97/0.70  % (21842)------------------------------
% 1.97/0.70  % (21842)------------------------------
% 1.97/0.70  % (21855)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 1.97/0.70  % (21843)Instruction limit reached!
% 1.97/0.70  % (21843)------------------------------
% 1.97/0.70  % (21843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.70  % (21843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.70  % (21843)Termination reason: Unknown
% 1.97/0.70  % (21843)Termination phase: Property scanning
% 1.97/0.70  
% 1.97/0.70  % (21843)Memory used [KB]: 2046
% 1.97/0.70  % (21843)Time elapsed: 0.006 s
% 1.97/0.70  % (21843)Instructions burned: 7 (million)
% 1.97/0.70  % (21843)------------------------------
% 1.97/0.70  % (21843)------------------------------
% 1.97/0.71  % (21856)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 1.97/0.71  % (21854)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 1.97/0.71  % (21857)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 1.97/0.72  % (21866)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 1.97/0.72  % (21851)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/141Mi)
% 1.97/0.73  % (21868)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 1.97/0.73  % (21792)Instruction limit reached!
% 1.97/0.73  % (21792)------------------------------
% 1.97/0.73  % (21792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.73  % (21791)Instruction limit reached!
% 1.97/0.73  % (21791)------------------------------
% 1.97/0.73  % (21791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.73  % (21791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.73  % (21791)Termination reason: Unknown
% 1.97/0.73  % (21791)Termination phase: Saturation
% 1.97/0.73  
% 1.97/0.73  % (21791)Memory used [KB]: 8571
% 1.97/0.73  % (21791)Time elapsed: 0.062 s
% 1.97/0.73  % (21791)Instructions burned: 95 (million)
% 1.97/0.73  % (21791)------------------------------
% 1.97/0.73  % (21791)------------------------------
% 2.16/0.73  % (21792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.73  % (21792)Termination reason: Unknown
% 2.16/0.73  % (21792)Termination phase: Saturation
% 2.16/0.73  
% 2.16/0.73  % (21792)Memory used [KB]: 5373
% 2.16/0.73  % (21792)Time elapsed: 0.069 s
% 2.16/0.73  % (21792)Instructions burned: 99 (million)
% 2.16/0.73  % (21792)------------------------------
% 2.16/0.73  % (21792)------------------------------
% 2.16/0.73  % (21877)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.16/0.74  % (21851)Refutation not found, incomplete strategy% (21851)------------------------------
% 2.16/0.74  % (21851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.74  % (21851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.74  % (21851)Termination reason: Refutation not found, incomplete strategy
% 2.16/0.74  
% 2.16/0.74  % (21851)Memory used [KB]: 6780
% 2.16/0.74  % (21851)Time elapsed: 0.135 s
% 2.16/0.74  % (21851)Instructions burned: 12 (million)
% 2.16/0.74  % (21851)------------------------------
% 2.16/0.74  % (21851)------------------------------
% 2.16/0.74  % (21879)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.16/0.75  % (21885)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.16/0.75  % (21896)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=237:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/237Mi)
% 2.16/0.75  % (21886)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/66Mi)
% 2.16/0.76  % (21877)Instruction limit reached!
% 2.16/0.76  % (21877)------------------------------
% 2.16/0.76  % (21877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.76  % (21891)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/19Mi)
% 2.16/0.76  % (21846)Instruction limit reached!
% 2.16/0.76  % (21846)------------------------------
% 2.16/0.76  % (21846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.76  % (21846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.76  % (21846)Termination reason: Unknown
% 2.16/0.76  % (21846)Termination phase: Saturation
% 2.16/0.76  
% 2.16/0.76  % (21846)Memory used [KB]: 4221
% 2.16/0.76  % (21846)Time elapsed: 0.041 s
% 2.16/0.76  % (21846)Instructions burned: 69 (million)
% 2.16/0.76  % (21846)------------------------------
% 2.16/0.76  % (21846)------------------------------
% 2.16/0.76  % (21877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.76  % (21877)Termination reason: Unknown
% 2.16/0.76  % (21877)Termination phase: Preprocessing 3
% 2.16/0.76  
% 2.16/0.76  % (21877)Memory used [KB]: 3070
% 2.16/0.76  % (21877)Time elapsed: 0.010 s
% 2.16/0.76  % (21877)Instructions burned: 17 (million)
% 2.16/0.76  % (21877)------------------------------
% 2.16/0.76  % (21877)------------------------------
% 2.28/0.77  % (21854)Instruction limit reached!
% 2.28/0.77  % (21854)------------------------------
% 2.28/0.77  % (21854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.77  % (21854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.77  % (21854)Termination reason: Unknown
% 2.28/0.77  % (21854)Termination phase: Property scanning
% 2.28/0.77  
% 2.28/0.77  % (21854)Memory used [KB]: 3454
% 2.28/0.77  % (21854)Time elapsed: 0.016 s
% 2.28/0.77  % (21854)Instructions burned: 31 (million)
% 2.28/0.77  % (21854)------------------------------
% 2.28/0.77  % (21854)------------------------------
% 2.28/0.78  % (21903)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=472:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/472Mi)
% 2.28/0.78  % (21849)Instruction limit reached!
% 2.28/0.78  % (21849)------------------------------
% 2.28/0.78  % (21849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.78  % (21849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.78  % (21849)Termination reason: Unknown
% 2.28/0.78  % (21849)Termination phase: Saturation
% 2.28/0.78  
% 2.28/0.78  % (21849)Memory used [KB]: 7036
% 2.28/0.78  % (21849)Time elapsed: 0.167 s
% 2.28/0.78  % (21849)Instructions burned: 57 (million)
% 2.28/0.78  % (21849)------------------------------
% 2.28/0.78  % (21849)------------------------------
% 2.28/0.78  % (21898)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/10Mi)
% 2.28/0.79  % (21853)Instruction limit reached!
% 2.28/0.79  % (21853)------------------------------
% 2.28/0.79  % (21853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.79  % (21853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.79  % (21853)Termination reason: Unknown
% 2.28/0.79  % (21853)Termination phase: Property scanning
% 2.28/0.79  
% 2.28/0.79  % (21853)Memory used [KB]: 3454
% 2.28/0.79  % (21853)Time elapsed: 0.020 s
% 2.28/0.79  % (21853)Instructions burned: 44 (million)
% 2.28/0.79  % (21853)------------------------------
% 2.28/0.79  % (21853)------------------------------
% 2.28/0.79  % (21894)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=341:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/341Mi)
% 2.28/0.79  % (21891)Instruction limit reached!
% 2.28/0.79  % (21891)------------------------------
% 2.28/0.79  % (21891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.79  % (21891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.79  % (21891)Termination reason: Unknown
% 2.28/0.79  % (21891)Termination phase: Preprocessing 3
% 2.28/0.79  
% 2.28/0.79  % (21891)Memory used [KB]: 3198
% 2.28/0.79  % (21891)Time elapsed: 0.011 s
% 2.28/0.79  % (21891)Instructions burned: 19 (million)
% 2.28/0.79  % (21891)------------------------------
% 2.28/0.79  % (21891)------------------------------
% 2.28/0.79  % (21894)Refutation not found, incomplete strategy% (21894)------------------------------
% 2.28/0.79  % (21894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.79  % (21894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.79  % (21894)Termination reason: Refutation not found, incomplete strategy
% 2.28/0.79  
% 2.28/0.79  % (21894)Memory used [KB]: 6652
% 2.28/0.79  % (21894)Time elapsed: 0.138 s
% 2.28/0.79  % (21894)Instructions burned: 10 (million)
% 2.28/0.79  % (21894)------------------------------
% 2.28/0.79  % (21894)------------------------------
% 2.28/0.80  % (21903)Refutation not found, incomplete strategy% (21903)------------------------------
% 2.28/0.80  % (21903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.80  % (21903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.80  % (21903)Termination reason: Refutation not found, incomplete strategy
% 2.28/0.80  
% 2.28/0.80  % (21903)Memory used [KB]: 6780
% 2.28/0.80  % (21903)Time elapsed: 0.130 s
% 2.28/0.80  % (21903)Instructions burned: 12 (million)
% 2.28/0.80  % (21903)------------------------------
% 2.28/0.80  % (21903)------------------------------
% 2.28/0.80  % (21911)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/97Mi)
% 2.28/0.80  % (21910)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/21Mi)
% 2.28/0.80  % (21855)Instruction limit reached!
% 2.28/0.80  % (21855)------------------------------
% 2.28/0.80  % (21855)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.80  % (21855)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.80  % (21855)Termination reason: Unknown
% 2.28/0.80  % (21855)Termination phase: Property scanning
% 2.28/0.80  
% 2.28/0.80  % (21855)Memory used [KB]: 3709
% 2.28/0.80  % (21855)Time elapsed: 0.036 s
% 2.28/0.80  % (21855)Instructions burned: 68 (million)
% 2.28/0.80  % (21855)------------------------------
% 2.28/0.80  % (21855)------------------------------
% 2.28/0.80  % (21898)Instruction limit reached!
% 2.28/0.80  % (21898)------------------------------
% 2.28/0.80  % (21898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.80  % (21898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.80  % (21898)Termination reason: Unknown
% 2.28/0.80  % (21898)Termination phase: Saturation
% 2.28/0.80  
% 2.28/0.80  % (21898)Memory used [KB]: 6652
% 2.28/0.80  % (21898)Time elapsed: 0.123 s
% 2.28/0.80  % (21898)Instructions burned: 10 (million)
% 2.28/0.80  % (21898)------------------------------
% 2.28/0.80  % (21898)------------------------------
% 2.28/0.80  % (21879)Instruction limit reached!
% 2.28/0.80  % (21879)------------------------------
% 2.28/0.80  % (21879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.80  % (21879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.80  % (21879)Termination reason: Unknown
% 2.28/0.80  % (21879)Termination phase: Property scanning
% 2.28/0.80  
% 2.28/0.80  % (21879)Memory used [KB]: 3454
% 2.28/0.80  % (21879)Time elapsed: 0.025 s
% 2.28/0.80  % (21879)Instructions burned: 33 (million)
% 2.28/0.80  % (21879)------------------------------
% 2.28/0.80  % (21879)------------------------------
% 2.28/0.82  % (21859)Instruction limit reached!
% 2.28/0.82  % (21859)------------------------------
% 2.28/0.82  % (21859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.82  % (21859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.82  % (21859)Termination reason: Unknown
% 2.28/0.82  % (21859)Termination phase: Saturation
% 2.28/0.82  
% 2.28/0.82  % (21859)Memory used [KB]: 8571
% 2.28/0.82  % (21859)Time elapsed: 0.050 s
% 2.28/0.82  % (21859)Instructions burned: 93 (million)
% 2.28/0.82  % (21859)------------------------------
% 2.28/0.82  % (21859)------------------------------
% 2.28/0.82  % (21912)lrs+10_1:1_av=off:sd=2:sos=on:ss=axioms:st=1.5:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/21Mi)
% 2.28/0.82  % (21913)dis+1011_1:1_nwc=3.0:sd=1:spb=goal_then_units:ss=included:to=lpo:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/138Mi)
% 2.28/0.83  % (21845)Instruction limit reached!
% 2.28/0.83  % (21845)------------------------------
% 2.28/0.83  % (21845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.83  % (21845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.83  % (21845)Termination reason: Unknown
% 2.28/0.83  % (21845)Termination phase: Saturation
% 2.28/0.83  
% 2.28/0.83  % (21845)Memory used [KB]: 6908
% 2.28/0.83  % (21845)Time elapsed: 0.237 s
% 2.28/0.83  % (21845)Instructions burned: 88 (million)
% 2.28/0.83  % (21845)------------------------------
% 2.28/0.83  % (21845)------------------------------
% 2.28/0.83  % (21847)Instruction limit reached!
% 2.28/0.83  % (21847)------------------------------
% 2.28/0.83  % (21847)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.84  % (21847)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.84  % (21847)Termination reason: Unknown
% 2.91/0.84  % (21847)Termination phase: Saturation
% 2.91/0.84  
% 2.91/0.84  % (21847)Memory used [KB]: 4221
% 2.91/0.84  % (21847)Time elapsed: 0.237 s
% 2.91/0.84  % (21847)Instructions burned: 108 (million)
% 2.91/0.84  % (21847)------------------------------
% 2.91/0.84  % (21847)------------------------------
% 2.91/0.84  % (21868)Instruction limit reached!
% 2.91/0.84  % (21868)------------------------------
% 2.91/0.84  % (21868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.84  % (21868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.84  % (21868)Termination reason: Unknown
% 2.91/0.84  % (21868)Termination phase: Saturation
% 2.91/0.84  
% 2.91/0.84  % (21868)Memory used [KB]: 8699
% 2.91/0.84  % (21868)Time elapsed: 0.217 s
% 2.91/0.84  % (21868)Instructions burned: 86 (million)
% 2.91/0.84  % (21868)------------------------------
% 2.91/0.84  % (21868)------------------------------
% 2.91/0.84  % (21910)Instruction limit reached!
% 2.91/0.84  % (21910)------------------------------
% 2.91/0.84  % (21910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.84  % (21856)Instruction limit reached!
% 2.91/0.84  % (21856)------------------------------
% 2.91/0.84  % (21856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.84  % (21856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.84  % (21910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.84  % (21856)Termination reason: Unknown
% 2.91/0.84  % (21910)Termination reason: Unknown
% 2.91/0.84  % (21856)Termination phase: Property scanning
% 2.91/0.84  
% 2.91/0.84  % (21910)Termination phase: Saturation
% 2.91/0.84  
% 2.91/0.84  % (21856)Memory used [KB]: 3965
% 2.91/0.84  % (21910)Memory used [KB]: 6908
% 2.91/0.84  % (21856)Time elapsed: 0.039 s
% 2.91/0.84  % (21910)Time elapsed: 0.123 s
% 2.91/0.84  % (21856)Instructions burned: 85 (million)
% 2.91/0.84  % (21910)Instructions burned: 22 (million)
% 2.91/0.84  % (21856)------------------------------
% 2.91/0.84  % (21856)------------------------------
% 2.91/0.84  % (21910)------------------------------
% 2.91/0.84  % (21910)------------------------------
% 2.91/0.85  % (21886)Instruction limit reached!
% 2.91/0.85  % (21886)------------------------------
% 2.91/0.85  % (21886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.85  % (21886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.85  % (21886)Termination reason: Unknown
% 2.91/0.85  % (21886)Termination phase: Saturation
% 2.91/0.85  
% 2.91/0.85  % (21886)Memory used [KB]: 7419
% 2.91/0.85  % (21886)Time elapsed: 0.202 s
% 2.91/0.85  % (21886)Instructions burned: 66 (million)
% 2.91/0.85  % (21886)------------------------------
% 2.91/0.85  % (21886)------------------------------
% 2.91/0.85  % (21912)Refutation not found, incomplete strategy% (21912)------------------------------
% 2.91/0.85  % (21912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.85  % (21912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.85  % (21912)Termination reason: Refutation not found, incomplete strategy
% 2.91/0.85  
% 2.91/0.85  % (21912)Memory used [KB]: 2174
% 2.91/0.85  % (21912)Time elapsed: 0.126 s
% 2.91/0.85  % (21912)Instructions burned: 10 (million)
% 2.91/0.85  % (21912)------------------------------
% 2.91/0.85  % (21912)------------------------------
% 2.91/0.86  % (21917)lrs+10_1:8_ep=R:nwc=5.0:rnwc=on:sos=on:urr=on:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/23Mi)
% 2.91/0.86  % (21915)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/488Mi)
% 2.91/0.86  % (21914)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=393:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/393Mi)
% 3.18/0.87  % (21916)dis+1004_1:1_br=off:fsd=on:urr=ec_only:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/93Mi)
% 3.18/0.88  % (21919)lrs+35_1:2_av=off:bsr=unit_only:flr=on:lcm=predicate:sp=frequency:i=222:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/222Mi)
% 3.18/0.88  % (21922)lrs+11_1:32_awrs=converge:awrsf=32:bd=preordered:drc=off:fd=preordered:flr=on:to=lpo:i=377:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/377Mi)
% 3.18/0.89  % (21917)Instruction limit reached!
% 3.18/0.89  % (21917)------------------------------
% 3.18/0.89  % (21917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.89  % (21923)lrs+10_1:64_plsq=on:plsqr=32,1:sac=on:sos=all:ss=axioms:st=5.0:i=118:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/118Mi)
% 3.18/0.89  % (21920)dis+1003_1:128_atotf=0.3:bce=on:newcnf=on:urr=on:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/86Mi)
% 3.18/0.89  % (21918)lrs+1010_1:1_sd=1:sos=on:sp=frequency:ss=included:to=lpo:i=221:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/221Mi)
% 3.18/0.89  % (21917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.89  % (21917)Termination reason: Unknown
% 3.18/0.89  % (21917)Termination phase: Property scanning
% 3.18/0.89  
% 3.18/0.89  % (21917)Memory used [KB]: 3454
% 3.18/0.89  % (21917)Time elapsed: 0.012 s
% 3.18/0.89  % (21917)Instructions burned: 24 (million)
% 3.18/0.89  % (21917)------------------------------
% 3.18/0.89  % (21917)------------------------------
% 3.18/0.91  % (21927)lrs+1002_1:1_av=off:gs=on:gsp=on:irw=on:nwc=2.0:sd=2:sos=on:ss=axioms:stl=30:urr=on:i=390:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/390Mi)
% 3.18/0.92  % (21866)Instruction limit reached!
% 3.18/0.92  % (21866)------------------------------
% 3.18/0.92  % (21866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.92  % (21866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.92  % (21866)Termination reason: Unknown
% 3.18/0.92  % (21866)Termination phase: Saturation
% 3.18/0.92  
% 3.18/0.92  % (21866)Memory used [KB]: 8059
% 3.18/0.92  % (21866)Time elapsed: 0.279 s
% 3.18/0.92  % (21866)Instructions burned: 111 (million)
% 3.18/0.92  % (21866)------------------------------
% 3.18/0.92  % (21866)------------------------------
% 3.18/0.92  % (21921)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=79:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/79Mi)
% 3.42/0.93  % (21928)ott+1011_1:16_lma=on:nicw=on:sd=7:sp=const_frequency:ss=axioms:st=5.0:urr=ec_only:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/23Mi)
% 3.42/0.93  % (21924)ins+10_1:1_br=off:gs=on:igrr=1/32:igs=34:igwr=on:nm=0:sp=const_min:uhcvi=on:updr=off:urr=ec_only:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/34Mi)
% 3.42/0.93  % (21925)lrs+1011_1:4_av=off:bd=off:drc=off:ins=1:nwc=2.0:spb=goal:tgt=full:to=lpo:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/113Mi)
% 3.42/0.93  % (21929)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=357:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/357Mi)
% 3.42/0.93  % (21857)Instruction limit reached!
% 3.42/0.93  % (21857)------------------------------
% 3.42/0.93  % (21857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.42/0.93  % (21857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.42/0.93  % (21857)Termination reason: Unknown
% 3.42/0.93  % (21857)Termination phase: Saturation
% 3.42/0.93  
% 3.42/0.93  % (21857)Memory used [KB]: 8571
% 3.42/0.93  % (21857)Time elapsed: 0.301 s
% 3.42/0.93  % (21857)Instructions burned: 132 (million)
% 3.42/0.93  % (21857)------------------------------
% 3.42/0.93  % (21857)------------------------------
% 3.42/0.94  % (21911)Instruction limit reached!
% 3.42/0.94  % (21911)------------------------------
% 3.42/0.94  % (21911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.42/0.94  % (21911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.42/0.94  % (21911)Termination reason: Unknown
% 3.42/0.94  % (21911)Termination phase: Saturation
% 3.42/0.94  
% 3.42/0.94  % (21911)Memory used [KB]: 8955
% 3.42/0.94  % (21911)Time elapsed: 0.220 s
% 3.42/0.94  % (21911)Instructions burned: 97 (million)
% 3.42/0.94  % (21911)------------------------------
% 3.42/0.94  % (21911)------------------------------
% 3.42/0.94  % (21926)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/8Mi)
% 3.42/0.94  % (21927)Refutation not found, incomplete strategy% (21927)------------------------------
% 3.42/0.94  % (21927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.42/0.94  % (21927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.42/0.94  % (21927)Termination reason: Refutation not found, incomplete strategy
% 3.42/0.94  
% 3.42/0.94  % (21927)Memory used [KB]: 6652
% 3.42/0.94  % (21927)Time elapsed: 0.092 s
% 3.42/0.94  % (21927)Instructions burned: 9 (million)
% 3.42/0.94  % (21927)------------------------------
% 3.42/0.94  % (21927)------------------------------
% 3.42/0.95  % (21931)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=424:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/424Mi)
% 3.42/0.95  % (21928)Instruction limit reached!
% 3.42/0.95  % (21928)------------------------------
% 3.42/0.95  % (21928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.42/0.95  % (21928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.42/0.95  % (21928)Termination reason: Unknown
% 3.42/0.95  % (21928)Termination phase: Preprocessing 3
% 3.42/0.95  
% 3.42/0.95  % (21928)Memory used [KB]: 3198
% 3.42/0.95  % (21928)Time elapsed: 0.016 s
% 3.42/0.95  % (21928)Instructions burned: 24 (million)
% 3.42/0.95  % (21928)------------------------------
% 3.42/0.95  % (21928)------------------------------
% 3.67/0.96  % (21926)Instruction limit reached!
% 3.67/0.96  % (21926)------------------------------
% 3.67/0.96  % (21926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/0.96  % (21926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/0.96  % (21926)Termination reason: Unknown
% 3.67/0.96  % (21926)Termination phase: shuffling
% 3.67/0.96  
% 3.67/0.96  % (21926)Memory used [KB]: 2430
% 3.67/0.96  % (21926)Time elapsed: 0.006 s
% 3.67/0.96  % (21926)Instructions burned: 8 (million)
% 3.67/0.96  % (21926)------------------------------
% 3.67/0.96  % (21926)------------------------------
% 3.67/0.96  % (21924)Instruction limit reached!
% 3.67/0.96  % (21924)------------------------------
% 3.67/0.96  % (21924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/0.96  % (21924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/0.96  % (21924)Termination reason: Unknown
% 3.67/0.96  % (21924)Termination phase: Property scanning
% 3.67/0.96  
% 3.67/0.96  % (21924)Memory used [KB]: 3454
% 3.67/0.96  % (21924)Time elapsed: 0.014 s
% 3.67/0.96  % (21924)Instructions burned: 34 (million)
% 3.67/0.96  % (21924)------------------------------
% 3.67/0.96  % (21924)------------------------------
% 3.67/0.97  % (21932)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=753:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/753Mi)
% 3.67/0.97  % (21930)lrs+10_1:32_abs=on:br=off:urr=ec_only:i=366:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/366Mi)
% 3.67/0.98  % (21934)lrs+10_1:1_sd=1:sos=on:spb=goal_then_units:ss=included:to=lpo:i=1000:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1000Mi)
% 3.67/0.98  % (21920)Instruction limit reached!
% 3.67/0.98  % (21920)------------------------------
% 3.67/0.98  % (21920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/0.99  % (21920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/0.99  % (21920)Termination reason: Unknown
% 3.67/0.99  % (21920)Termination phase: Saturation
% 3.67/0.99  
% 3.67/0.99  % (21920)Memory used [KB]: 8187
% 3.67/0.99  % (21920)Time elapsed: 0.034 s
% 3.67/0.99  % (21920)Instructions burned: 88 (million)
% 3.67/0.99  % (21920)------------------------------
% 3.67/0.99  % (21920)------------------------------
% 3.67/0.99  % (21933)lrs+11_1:2_aac=none:acc=on:alpa=true:spb=units:i=288:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/288Mi)
% 3.67/0.99  % (21921)Instruction limit reached!
% 3.67/0.99  % (21921)------------------------------
% 3.67/0.99  % (21921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/0.99  % (21885)Instruction limit reached!
% 3.67/0.99  % (21885)------------------------------
% 3.67/0.99  % (21885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/0.99  % (21916)Instruction limit reached!
% 3.67/0.99  % (21916)------------------------------
% 3.67/0.99  % (21916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/0.99  % (21916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/0.99  % (21916)Termination reason: Unknown
% 3.67/0.99  % (21916)Termination phase: Saturation
% 3.67/0.99  
% 3.67/0.99  % (21916)Memory used [KB]: 8571
% 3.67/0.99  % (21916)Time elapsed: 0.212 s
% 3.67/0.99  % (21916)Instructions burned: 93 (million)
% 3.67/0.99  % (21916)------------------------------
% 3.67/0.99  % (21916)------------------------------
% 3.67/0.99  % (21935)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/149Mi)
% 3.67/1.00  % (21936)lrs+10_5:1_bce=on:bd=off:bsr=unit_only:s2a=on:sos=all:sp=reverse_arity:ss=axioms:st=2.0:to=lpo:urr=on:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/35Mi)
% 3.67/1.00  % (21885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/1.00  % (21885)Termination reason: Unknown
% 3.67/1.00  % (21885)Termination phase: Saturation
% 3.67/1.00  
% 3.67/1.00  % (21885)Memory used [KB]: 9083
% 3.67/1.00  % (21885)Time elapsed: 0.352 s
% 3.67/1.00  % (21885)Instructions burned: 150 (million)
% 3.67/1.00  % (21885)------------------------------
% 3.67/1.00  % (21885)------------------------------
% 3.67/1.00  % (21913)Instruction limit reached!
% 3.67/1.00  % (21913)------------------------------
% 3.67/1.00  % (21913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/1.01  % (21921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/1.01  % (21921)Termination reason: Unknown
% 3.67/1.01  % (21921)Termination phase: Saturation
% 3.67/1.01  
% 3.67/1.01  % (21921)Memory used [KB]: 8187
% 3.67/1.01  % (21921)Time elapsed: 0.031 s
% 3.67/1.01  % (21921)Instructions burned: 81 (million)
% 3.67/1.01  % (21921)------------------------------
% 3.67/1.01  % (21921)------------------------------
% 3.67/1.02  % (21936)Instruction limit reached!
% 3.67/1.02  % (21936)------------------------------
% 3.67/1.02  % (21936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/1.02  % (21913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/1.02  % (21913)Termination reason: Unknown
% 3.67/1.02  % (21913)Termination phase: Saturation
% 3.67/1.02  
% 3.67/1.02  % (21913)Memory used [KB]: 8955
% 3.67/1.02  % (21913)Time elapsed: 0.240 s
% 3.67/1.02  % (21913)Instructions burned: 138 (million)
% 3.67/1.02  % (21913)------------------------------
% 3.67/1.02  % (21913)------------------------------
% 3.67/1.03  % (21936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/1.03  % (21936)Termination reason: Unknown
% 3.67/1.03  % (21936)Termination phase: Property scanning
% 3.67/1.03  
% 3.67/1.03  % (21936)Memory used [KB]: 3070
% 3.67/1.03  % (21936)Time elapsed: 0.015 s
% 3.67/1.03  % (21936)Instructions burned: 35 (million)
% 3.67/1.03  % (21936)------------------------------
% 3.67/1.03  % (21936)------------------------------
% 4.20/1.03  % (21938)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=300:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/300Mi)
% 4.20/1.03  % (21937)dis+1002_1:1_av=off:dr=on:ep=RS:mep=off:newcnf=on:nm=2:nwc=10.0:s2a=on:slsq=on:slsqc=0:slsqr=1,8:i=377:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/377Mi)
% 4.20/1.04  % (21923)Instruction limit reached!
% 4.20/1.04  % (21923)------------------------------
% 4.20/1.04  % (21923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.20/1.04  % (21941)lrs+1011_1:1_aac=none:fs=off:fsr=off:i=136:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/136Mi)
% 4.20/1.04  % (21923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.20/1.04  % (21923)Termination reason: Unknown
% 4.20/1.04  % (21923)Termination phase: Saturation
% 4.20/1.04  
% 4.20/1.04  % (21923)Memory used [KB]: 9210
% 4.20/1.04  % (21923)Time elapsed: 0.199 s
% 4.20/1.04  % (21923)Instructions burned: 118 (million)
% 4.20/1.04  % (21923)------------------------------
% 4.20/1.04  % (21923)------------------------------
% 4.20/1.05  % (21896)Instruction limit reached!
% 4.20/1.05  % (21896)------------------------------
% 4.20/1.05  % (21896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.20/1.05  % (21896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.20/1.05  % (21896)Termination reason: Unknown
% 4.20/1.05  % (21896)Termination phase: Saturation
% 4.20/1.05  
% 4.20/1.05  % (21896)Memory used [KB]: 10618
% 4.20/1.05  % (21896)Time elapsed: 0.303 s
% 4.20/1.05  % (21896)Instructions burned: 238 (million)
% 4.20/1.05  % (21896)------------------------------
% 4.20/1.05  % (21896)------------------------------
% 4.20/1.05  % (21939)dis+1002_1:1_nm=0:nwc=2.0:s2a=on:spb=goal_then_units:to=lpo:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/45Mi)
% 4.20/1.06  % (21943)lrs+10_1:4_drc=off:sos=on:to=lpo:i=102:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/102Mi)
% 4.20/1.07  % (21940)lrs+10_1:8_ep=R:nwc=5.0:rnwc=on:sos=on:urr=on:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/23Mi)
% 5.56/1.08  % (21945)dis+1002_1:2_er=filter:fde=unused:nwc=3.0:sac=on:sp=frequency:ss=included:to=lpo:i=246:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/246Mi)
% 5.56/1.08  % (21942)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=91:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/91Mi)
% 5.56/1.09  % (21944)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=234:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/234Mi)
% 5.56/1.11  % (21925)Instruction limit reached!
% 5.56/1.11  % (21925)------------------------------
% 5.56/1.11  % (21925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.56/1.11  % (21925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.56/1.11  % (21925)Termination reason: Unknown
% 5.56/1.11  % (21925)Termination phase: Saturation
% 5.56/1.11  
% 5.56/1.11  % (21925)Memory used [KB]: 4093
% 5.56/1.11  % (21925)Time elapsed: 0.283 s
% 5.56/1.11  % (21925)Instructions burned: 114 (million)
% 5.56/1.11  % (21925)------------------------------
% 5.56/1.11  % (21925)------------------------------
% 5.56/1.12  % (21940)Instruction limit reached!
% 5.56/1.12  % (21940)------------------------------
% 5.56/1.12  % (21940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.56/1.12  % (21940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.56/1.12  % (21940)Termination reason: Unknown
% 5.56/1.12  % (21940)Termination phase: Clausification
% 5.56/1.12  
% 5.56/1.12  % (21940)Memory used [KB]: 3326
% 5.56/1.12  % (21940)Time elapsed: 0.013 s
% 5.56/1.12  % (21940)Instructions burned: 23 (million)
% 5.56/1.12  % (21940)------------------------------
% 5.56/1.12  % (21940)------------------------------
% 5.56/1.12  % (21946)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/290Mi)
% 5.56/1.13  % (21947)dis+1010_1:3_av=off:bd=off:bs=on:bsr=on:cond=on:gsp=on:slsq=on:slsqc=1:slsqr=1,4:uwa=all:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/68Mi)
% 5.56/1.13  % (21948)dis+10_1:1_ep=R:fde=none:fsr=off:slsq=on:slsqc=1:slsql=off:slsqr=1,4:ss=axioms:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/248Mi)
% 5.56/1.13  % (21939)Instruction limit reached!
% 5.56/1.13  % (21939)------------------------------
% 5.56/1.13  % (21939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.56/1.13  % (21939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.56/1.13  % (21939)Termination reason: Unknown
% 5.56/1.13  % (21939)Termination phase: Property scanning
% 5.56/1.13  
% 5.56/1.13  % (21939)Memory used [KB]: 3454
% 5.56/1.13  % (21939)Time elapsed: 0.021 s
% 5.56/1.13  % (21939)Instructions burned: 46 (million)
% 5.56/1.13  % (21939)------------------------------
% 5.56/1.13  % (21939)------------------------------
% 6.07/1.15  % (21951)lrs+1_4:1_cond=fast:fde=unused:lcm=predicate:nm=4:s2a=on:sd=3:sos=on:ss=axioms:st=2.0:i=139:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/139Mi)
% 6.07/1.15  % (21949)lrs+1011_1:5_add=large:afp=4000:anc=none:irw=on:lma=on:nm=64:sac=on:sd=3:sos=on:sp=reverse_arity:ss=axioms:st=2.0:stl=30:updr=off:urr=on:i=126:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/126Mi)
% 6.07/1.15  % (21919)Instruction limit reached!
% 6.07/1.15  % (21919)------------------------------
% 6.07/1.15  % (21919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.07/1.15  % (21919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.07/1.15  % (21919)Termination reason: Unknown
% 6.07/1.15  % (21919)Termination phase: Saturation
% 6.07/1.15  
% 6.07/1.15  % (21919)Memory used [KB]: 5245
% 6.07/1.15  % (21919)Time elapsed: 0.334 s
% 6.07/1.15  % (21919)Instructions burned: 222 (million)
% 6.07/1.15  % (21919)------------------------------
% 6.07/1.15  % (21919)------------------------------
% 6.07/1.16  % (21935)First to succeed.
% 6.07/1.16  % (21950)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=997:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/997Mi)
% 6.07/1.17  % (21950)Refutation not found, incomplete strategy% (21950)------------------------------
% 6.07/1.17  % (21950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.07/1.17  % (21950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.07/1.17  % (21950)Termination reason: Refutation not found, incomplete strategy
% 6.07/1.17  
% 6.07/1.17  % (21950)Memory used [KB]: 6780
% 6.07/1.17  % (21950)Time elapsed: 0.107 s
% 6.07/1.17  % (21950)Instructions burned: 12 (million)
% 6.07/1.17  % (21950)------------------------------
% 6.07/1.17  % (21950)------------------------------
% 6.26/1.18  % (21952)ott+4_8:1_acc=on:fsr=off:lcm=reverse:lma=on:sd=2:sos=all:ss=axioms:st=1.5:i=121:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/121Mi)
% 6.26/1.19  % (21935)Refutation found. Thanks to Tanya!
% 6.26/1.19  % SZS status Theorem for theBenchmark
% 6.26/1.19  % SZS output start Proof for theBenchmark
% See solution above
% 6.26/1.19  % (21935)------------------------------
% 6.26/1.19  % (21935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.26/1.19  % (21935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.26/1.19  % (21935)Termination reason: Refutation
% 6.26/1.19  
% 6.26/1.19  % (21935)Memory used [KB]: 7675
% 6.26/1.19  % (21935)Time elapsed: 0.282 s
% 6.26/1.19  % (21935)Instructions burned: 97 (million)
% 6.26/1.19  % (21935)------------------------------
% 6.26/1.19  % (21935)------------------------------
% 6.26/1.19  % (21746)Success in time 0.843 s
%------------------------------------------------------------------------------