TSTP Solution File: SCT156+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SCT156+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_sat --cores 0 -t %d %s

% Computer : n011.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 18:18:03 EDT 2022

% Result   : Theorem 3.61s 0.96s
% Output   : Refutation 3.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   88 (  12 unt;   0 def)
%            Number of atoms       :  400 (  98 equ)
%            Maximal formula atoms :   13 (   4 avg)
%            Number of connectives :  472 ( 160   ~; 273   |;  11   &)
%                                         (  12 <=>;  13  =>;   0  <=;   3 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;  11 con; 0-5 aty)
%            Number of variables   :  101 (  96   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3570,plain,
    $false,
    inference(avatar_sat_refutation,[],[f3123,f3309,f3459,f3569]) ).

fof(f3569,plain,
    ( ~ spl90_1
    | spl90_2 ),
    inference(avatar_contradiction_clause,[],[f3568]) ).

fof(f3568,plain,
    ( $false
    | ~ spl90_1
    | spl90_2 ),
    inference(subsumption_resolution,[],[f3567,f3556]) ).

fof(f3556,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____,sK44(v_a_H____,v_b_H____,v_P____,v_P_H____,v_b____)))
    | ~ spl90_1
    | spl90_2 ),
    inference(subsumption_resolution,[],[f3555,f2432]) ).

fof(f2432,plain,
    v_b____ != v_a_H____,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ( v_b____ != v_a_H____
    & v_a____ = v_b_H____ ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096a_A_061_Ab_H_A_G_Ab_A_126_061_Aa_H_096) ).

fof(f3555,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____,sK44(v_a_H____,v_b_H____,v_P____,v_P_H____,v_b____)))
    | v_b____ = v_a_H____
    | ~ spl90_1
    | spl90_2 ),
    inference(subsumption_resolution,[],[f3554,f3122]) ).

fof(f3122,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____))
    | spl90_2 ),
    inference(avatar_component_clause,[],[f3120]) ).

fof(f3120,plain,
    ( spl90_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,[spl90_2])]) ).

fof(f3554,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_H____,v_b_H____),hAPP(v_P_H____,sK44(v_a_H____,v_b_H____,v_P____,v_P_H____,v_b____)))
    | v_b____ = v_a_H____
    | ~ spl90_1 ),
    inference(subsumption_resolution,[],[f3551,f2242]) ).

fof(f2242,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(f3551,plain,
    ( 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_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____,sK44(v_a_H____,v_b_H____,v_P____,v_P_H____,v_b____)))
    | ~ spl90_1 ),
    inference(factoring,[],[f3544]) ).

fof(f3544,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,X0,v_b_H____),hAPP(v_P_H____,sK44(X0,v_b_H____,v_P____,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_P_H____,sK44(X0,v_b_H____,v_P____,v_P_H____,v_b____)))
        | 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,X0,v_b_H____),hAPP(v_F,v_P_H____))
        | v_b_H____ = X0 )
    | ~ spl90_1 ),
    inference(resolution,[],[f3541,f2911]) ).

fof(f2911,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_H____,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(definition_unfolding,[],[f2199,f2431]) ).

fof(f2431,plain,
    v_a____ = v_b_H____,
    inference(cnf_transformation,[],[f6]) ).

fof(f2199,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,[],[f1540]) ).

fof(f1540,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)) )
      & ( c_member(tc_prod(tc_Arrow__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(nnf_transformation,[],[f908]) ).

fof(f908,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(rectify,[],[f7]) ).

fof(f7,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____,v_b____),hAPP(v_P____,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)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_A_I5_J) ).

fof(f3541,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,X0,v_b_H____),hAPP(v_P_H____,sK44(X0,v_b_H____,v_P____,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_b_H____,v_b____),hAPP(v_P____,sK44(X0,v_b_H____,v_P____,v_P_H____,v_b____)))
        | v_b_H____ = 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,X0,v_b_H____),hAPP(v_F,v_P_H____)) )
    | ~ spl90_1 ),
    inference(resolution,[],[f3479,f2319]) ).

fof(f2319,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,[],[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_H____,c_Arrow__Order__Mirabelle_OProf),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_A_I4_J) ).

fof(f3479,plain,
    ( ! [X10,X11] :
        ( ~ 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_prod(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,v_b_H____),hAPP(X11,sK44(X10,v_b_H____,v_P____,X11,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_H____,v_b____),hAPP(v_P____,sK44(X10,v_b_H____,v_P____,X11,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,X10,v_b_H____),hAPP(v_F,X11))
        | v_b_H____ = X10
        | v_b____ = X10 )
    | ~ spl90_1 ),
    inference(subsumption_resolution,[],[f3478,f2965]) ).

fof(f2965,plain,
    v_b____ != v_b_H____,
    inference(definition_unfolding,[],[f2504,f2431]) ).

fof(f2504,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(f3478,plain,
    ( ! [X10,X11] :
        ( v_b____ = 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_b_H____,v_b____),hAPP(v_P____,sK44(X10,v_b_H____,v_P____,X11,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,X10,v_b_H____),hAPP(X11,sK44(X10,v_b_H____,v_P____,X11,v_b____)))
        | 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_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,X10,v_b_H____),hAPP(v_F,X11)) )
    | ~ spl90_1 ),
    inference(subsumption_resolution,[],[f3466,f2634]) ).

fof(f2634,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,[],[f9]) ).

fof(f9,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(f3466,plain,
    ( ! [X10,X11] :
        ( ~ 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_prod(tc_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____,v_b____),hAPP(v_P____,sK44(X10,v_b_H____,v_P____,X11,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,X10,v_b_H____),hAPP(X11,sK44(X10,v_b_H____,v_P____,X11,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,X10,v_b_H____),hAPP(v_F,X11))
        | v_b_H____ = X10
        | v_b____ = 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)),v_P____,c_Arrow__Order__Mirabelle_OProf)
        | v_b____ = v_b_H____ )
    | ~ spl90_1 ),
    inference(resolution,[],[f3117,f2482]) ).

fof(f2482,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,X1,X4),hAPP(v_F,X2))
      | 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,X1,X4),hAPP(X2,sK44(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,X1),hAPP(X3,sK44(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)),X2,c_Arrow__Order__Mirabelle_OProf)
      | X0 = 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)
      | 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)) ),
    inference(cnf_transformation,[],[f1787]) ).

fof(f1787,plain,
    ! [X0,X1,X2,X3,X4] :
      ( X0 = X1
      | 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)),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)),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,X1,X4),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,X4),hAPP(v_F,X2)) ) )
      | 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,X0,X1),hAPP(X3,sK44(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,X4),hAPP(X2,sK44(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,X1),hAPP(X3,sK44(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,X4),hAPP(X2,sK44(X0,X1,X2,X3,X4))) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK44])],[f1785,f1786]) ).

fof(f1786,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,X0,X1),hAPP(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,X1,X4),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,X0,X1),hAPP(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,X1,X4),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,X0,X1),hAPP(X3,sK44(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,X4),hAPP(X2,sK44(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,X1),hAPP(X3,sK44(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,X4),hAPP(X2,sK44(X0,X1,X2,X3,X4))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f1785,plain,
    ! [X0,X1,X2,X3,X4] :
      ( X0 = X1
      | 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)),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)),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,X1,X4),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,X4),hAPP(v_F,X2)) ) )
      | X0 = 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,X1),hAPP(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,X1,X4),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,X0,X1),hAPP(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,X1,X4),hAPP(X2,X5)) ) ) ),
    inference(rectify,[],[f1784]) ).

fof(f1784,plain,
    ! [X2,X0,X1,X4,X3] :
      ( X0 = X2
      | X0 = 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)),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(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,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)) ) )
      | X2 = 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(nnf_transformation,[],[f1057]) ).

fof(f1057,plain,
    ! [X2,X0,X1,X4,X3] :
      ( X0 = X2
      | X0 = 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)),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(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)) )
      | X2 = 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,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)) ) ),
    inference(flattening,[],[f1056]) ).

fof(f1056,plain,
    ! [X4,X1,X0,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_prod(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)) )
      | ? [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_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)
      | X2 = X3
      | X0 = X3
      | X0 = X2 ),
    inference(ennf_transformation,[],[f849]) ).

fof(f849,plain,
    ! [X4,X1,X0,X2,X3] :
      ( X0 != X2
     => ( X0 != X3
       => ( 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)),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)
             => ( ! [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(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)) ) ) ) ) ) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X17,X16,X18,X4,X15] :
      ( X17 != X18
     => ( X4 != X17
       => ( X4 != X18
         => ( 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)),X16,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,X18,X17),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,X17,X4),hAPP(X16,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,X17,X4),hAPP(v_F,X16))
                <=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X18,X17),hAPP(v_F,X15)) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__C4_C) ).

fof(f3117,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_H____,v_b____),hAPP(v_F,v_P____))
    | ~ spl90_1 ),
    inference(avatar_component_clause,[],[f3116]) ).

fof(f3116,plain,
    ( spl90_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_b_H____,v_b____),hAPP(v_F,v_P____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl90_1])]) ).

fof(f3567,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____,sK44(v_a_H____,v_b_H____,v_P____,v_P_H____,v_b____)))
    | ~ spl90_1
    | spl90_2 ),
    inference(resolution,[],[f3563,f2910]) ).

fof(f2910,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_H____,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(definition_unfolding,[],[f2200,f2431]) ).

fof(f2200,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,[],[f1540]) ).

fof(f3563,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_H____,v_b____),hAPP(v_P____,sK44(v_a_H____,v_b_H____,v_P____,v_P_H____,v_b____)))
    | ~ spl90_1
    | spl90_2 ),
    inference(subsumption_resolution,[],[f3562,f2319]) ).

fof(f3562,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_H____,v_b____),hAPP(v_P____,sK44(v_a_H____,v_b_H____,v_P____,v_P_H____,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)
    | ~ spl90_1
    | spl90_2 ),
    inference(subsumption_resolution,[],[f3561,f2432]) ).

fof(f3561,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)
    | ~ c_member(tc_prod(tc_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____,v_b____),hAPP(v_P____,sK44(v_a_H____,v_b_H____,v_P____,v_P_H____,v_b____)))
    | ~ spl90_1
    | spl90_2 ),
    inference(subsumption_resolution,[],[f3560,f3122]) ).

fof(f3560,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____))
    | 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_b_H____,v_b____),hAPP(v_P____,sK44(v_a_H____,v_b_H____,v_P____,v_P_H____,v_b____)))
    | ~ spl90_1
    | spl90_2 ),
    inference(subsumption_resolution,[],[f3559,f2242]) ).

fof(f3559,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_H____,v_b____),hAPP(v_P____,sK44(v_a_H____,v_b_H____,v_P____,v_P_H____,v_b____)))
    | 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____ = 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)
    | ~ spl90_1
    | spl90_2 ),
    inference(resolution,[],[f3556,f3493]) ).

fof(f3493,plain,
    ( ! [X12,X13] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,v_b_H____),hAPP(X13,sK44(X12,v_b_H____,v_P____,X13,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)),X13,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____,v_b____),hAPP(v_P____,sK44(X12,v_b_H____,v_P____,X13,v_b____)))
        | v_b____ = X12
        | v_b_H____ = X12
        | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,v_b_H____),hAPP(v_F,X13)) )
    | ~ spl90_1 ),
    inference(subsumption_resolution,[],[f3492,f2965]) ).

fof(f3492,plain,
    ( ! [X12,X13] :
        ( ~ c_member(tc_prod(tc_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____,v_b____),hAPP(v_P____,sK44(X12,v_b_H____,v_P____,X13,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,X12,v_b_H____),hAPP(X13,sK44(X12,v_b_H____,v_P____,X13,v_b____)))
        | v_b____ = v_b_H____
        | v_b_H____ = X12
        | v_b____ = X12
        | ~ 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)),X13,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,X12,v_b_H____),hAPP(v_F,X13)) )
    | ~ spl90_1 ),
    inference(subsumption_resolution,[],[f3467,f2634]) ).

fof(f3467,plain,
    ( ! [X12,X13] :
        ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X12,v_b_H____),hAPP(X13,sK44(X12,v_b_H____,v_P____,X13,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_H____,v_b____),hAPP(v_P____,sK44(X12,v_b_H____,v_P____,X13,v_b____)))
        | v_b_H____ = X12
        | ~ 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____ = X12
        | 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,X12,v_b_H____),hAPP(v_F,X13))
        | ~ 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)),X13,c_Arrow__Order__Mirabelle_OProf) )
    | ~ spl90_1 ),
    inference(resolution,[],[f3117,f2483]) ).

fof(f2483,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,X1,X4),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(X3,sK44(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)),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,X4),hAPP(X2,sK44(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,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)
      | X1 = X4
      | X0 = X4
      | X0 = X1 ),
    inference(cnf_transformation,[],[f1787]) ).

fof(f3459,plain,
    ( spl90_1
    | ~ spl90_2 ),
    inference(avatar_contradiction_clause,[],[f3458]) ).

fof(f3458,plain,
    ( $false
    | spl90_1
    | ~ spl90_2 ),
    inference(subsumption_resolution,[],[f3457,f3450]) ).

fof(f3450,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____,sK44(v_a_H____,v_b_H____,v_P____,v_P_H____,v_b____)))
    | spl90_1
    | ~ spl90_2 ),
    inference(subsumption_resolution,[],[f3449,f3118]) ).

fof(f3118,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_H____,v_b____),hAPP(v_F,v_P____))
    | spl90_1 ),
    inference(avatar_component_clause,[],[f3116]) ).

fof(f3449,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_H____,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____,sK44(v_a_H____,v_b_H____,v_P____,v_P_H____,v_b____)))
    | ~ spl90_2 ),
    inference(subsumption_resolution,[],[f3448,f2432]) ).

fof(f3448,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_H____,v_b_H____),hAPP(v_P_H____,sK44(v_a_H____,v_b_H____,v_P____,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_b_H____,v_b____),hAPP(v_F,v_P____))
    | ~ spl90_2 ),
    inference(subsumption_resolution,[],[f3447,f2965]) ).

fof(f3447,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____,sK44(v_a_H____,v_b_H____,v_P____,v_P_H____,v_b____)))
    | v_b____ = 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_b_H____,v_b____),hAPP(v_F,v_P____))
    | ~ spl90_2 ),
    inference(duplicate_literal_removal,[],[f3446]) ).

fof(f3446,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_H____,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____,sK44(v_a_H____,v_b_H____,v_P____,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_P_H____,sK44(v_a_H____,v_b_H____,v_P____,v_P_H____,v_b____)))
    | v_b____ = v_b_H____
    | ~ spl90_2 ),
    inference(resolution,[],[f3445,f2911]) ).

fof(f3445,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_H____,X1),hAPP(v_P____,sK44(v_a_H____,v_b_H____,v_P____,v_P_H____,X1)))
        | v_a_H____ = 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_H____,X1),hAPP(v_F,v_P____))
        | v_b_H____ = 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____,sK44(v_a_H____,v_b_H____,v_P____,v_P_H____,X1))) )
    | ~ spl90_2 ),
    inference(resolution,[],[f3377,f2634]) ).

fof(f3377,plain,
    ( ! [X14,X15] :
        ( ~ 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)
        | v_a_H____ = X14
        | c_member(tc_prod(tc_Arrow__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____,sK44(v_a_H____,v_b_H____,X15,v_P_H____,X14)))
        | c_member(tc_prod(tc_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____,X14),hAPP(X15,sK44(v_a_H____,v_b_H____,X15,v_P_H____,X14)))
        | v_b_H____ = X14
        | c_member(tc_prod(tc_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____,X14),hAPP(v_F,X15)) )
    | ~ spl90_2 ),
    inference(subsumption_resolution,[],[f3376,f2242]) ).

fof(f3376,plain,
    ( ! [X14,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,v_b_H____,X14),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,v_a_H____,v_b_H____),hAPP(v_P_H____,sK44(v_a_H____,v_b_H____,X15,v_P_H____,X14)))
        | ~ 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)
        | v_b_H____ = X14
        | v_a_H____ = X14
        | 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____,X14),hAPP(X15,sK44(v_a_H____,v_b_H____,X15,v_P_H____,X14))) )
    | ~ spl90_2 ),
    inference(subsumption_resolution,[],[f3362,f2319]) ).

fof(f3362,plain,
    ( ! [X14,X15] :
        ( ~ 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____,sK44(v_a_H____,v_b_H____,X15,v_P_H____,X14)))
        | v_a_H____ = X14
        | v_b_H____ = X14
        | 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____,X14),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,v_b_H____,X14),hAPP(X15,sK44(v_a_H____,v_b_H____,X15,v_P_H____,X14)))
        | ~ 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) )
    | ~ spl90_2 ),
    inference(resolution,[],[f3121,f2484]) ).

fof(f2484,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,X0,X1),hAPP(v_F,X3))
      | X0 = 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)),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,X0,X1),hAPP(X3,sK44(X0,X1,X2,X3,X4)))
      | 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,X1,X4),hAPP(X2,sK44(X0,X1,X2,X3,X4)))
      | 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)),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,X1,X4),hAPP(v_F,X2)) ),
    inference(cnf_transformation,[],[f1787]) ).

fof(f3121,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____))
    | ~ spl90_2 ),
    inference(avatar_component_clause,[],[f3120]) ).

fof(f3457,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____,sK44(v_a_H____,v_b_H____,v_P____,v_P_H____,v_b____)))
    | spl90_1
    | ~ spl90_2 ),
    inference(resolution,[],[f3455,f2910]) ).

fof(f3455,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_H____,v_b____),hAPP(v_P____,sK44(v_a_H____,v_b_H____,v_P____,v_P_H____,v_b____)))
    | spl90_1
    | ~ spl90_2 ),
    inference(subsumption_resolution,[],[f3454,f2432]) ).

fof(f3454,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_b_H____,v_b____),hAPP(v_P____,sK44(v_a_H____,v_b_H____,v_P____,v_P_H____,v_b____)))
    | spl90_1
    | ~ spl90_2 ),
    inference(subsumption_resolution,[],[f3453,f3118]) ).

fof(f3453,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_H____,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_b_H____,v_b____),hAPP(v_P____,sK44(v_a_H____,v_b_H____,v_P____,v_P_H____,v_b____)))
    | spl90_1
    | ~ spl90_2 ),
    inference(subsumption_resolution,[],[f3452,f2634]) ).

fof(f3452,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_b_H____,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_H____,v_b____),hAPP(v_P____,sK44(v_a_H____,v_b_H____,v_P____,v_P_H____,v_b____)))
    | spl90_1
    | ~ spl90_2 ),
    inference(subsumption_resolution,[],[f3451,f2965]) ).

fof(f3451,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_H____,v_b____),hAPP(v_P____,sK44(v_a_H____,v_b_H____,v_P____,v_P_H____,v_b____)))
    | v_b____ = 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)
    | c_member(tc_prod(tc_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____,v_b____),hAPP(v_F,v_P____))
    | spl90_1
    | ~ spl90_2 ),
    inference(resolution,[],[f3389,f3450]) ).

fof(f3389,plain,
    ( ! [X16,X17] :
        ( ~ c_member(tc_prod(tc_Arrow__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____,sK44(v_a_H____,v_b_H____,X16,v_P_H____,X17)))
        | v_a_H____ = X17
        | v_b_H____ = X17
        | c_member(tc_prod(tc_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____,X17),hAPP(v_F,X16))
        | ~ 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)),X16,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____,X17),hAPP(X16,sK44(v_a_H____,v_b_H____,X16,v_P_H____,X17))) )
    | ~ spl90_2 ),
    inference(subsumption_resolution,[],[f3388,f2242]) ).

fof(f3388,plain,
    ( ! [X16,X17] :
        ( ~ c_member(tc_prod(tc_Arrow__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____,sK44(v_a_H____,v_b_H____,X16,v_P_H____,X17)))
        | ~ c_member(tc_prod(tc_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____,X17),hAPP(X16,sK44(v_a_H____,v_b_H____,X16,v_P_H____,X17)))
        | v_b_H____ = X17
        | 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)),X16,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____,X17),hAPP(v_F,X16))
        | v_a_H____ = X17 )
    | ~ spl90_2 ),
    inference(subsumption_resolution,[],[f3363,f2319]) ).

fof(f3363,plain,
    ( ! [X16,X17] :
        ( ~ c_member(tc_prod(tc_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____,X17),hAPP(X16,sK44(v_a_H____,v_b_H____,X16,v_P_H____,X17)))
        | v_a_H____ = X17
        | ~ 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_H____ = X17
        | ~ 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)),X16,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____,sK44(v_a_H____,v_b_H____,X16,v_P_H____,X17)))
        | c_member(tc_prod(tc_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____,X17),hAPP(v_F,X16))
        | v_a_H____ = v_b_H____ )
    | ~ spl90_2 ),
    inference(resolution,[],[f3121,f2485]) ).

fof(f2485,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,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)),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)),X3,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,X1,X4),hAPP(X2,sK44(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,X4),hAPP(v_F,X2))
      | X0 = X4
      | 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,X0,X1),hAPP(X3,sK44(X0,X1,X2,X3,X4))) ),
    inference(cnf_transformation,[],[f1787]) ).

fof(f3309,plain,
    ( spl90_1
    | spl90_2 ),
    inference(avatar_split_clause,[],[f2917,f3120,f3116]) ).

fof(f2917,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_b_H____,v_b____),hAPP(v_F,v_P____)) ),
    inference(definition_unfolding,[],[f2254,f2431]) ).

fof(f2254,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,[],[f1585]) ).

fof(f1585,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,[],[f1168]) ).

fof(f1168,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____,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(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____,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____)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f3123,plain,
    ( ~ spl90_1
    | ~ spl90_2 ),
    inference(avatar_split_clause,[],[f2916,f3120,f3116]) ).

fof(f2916,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_b_H____,v_b____),hAPP(v_F,v_P____)) ),
    inference(definition_unfolding,[],[f2255,f2431]) ).

fof(f2255,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,[],[f1585]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SCT156+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 12:34:55 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.58  % (840)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.58  % (839)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.59  % (857)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.59  % (850)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.60  % (849)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.60  % (858)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.60  % (840)Instruction limit reached!
% 0.19/0.60  % (840)------------------------------
% 0.19/0.60  % (840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60  % (840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60  % (840)Termination reason: Unknown
% 0.19/0.60  % (840)Termination phase: Preprocessing 1
% 0.19/0.60  
% 0.19/0.60  % (840)Memory used [KB]: 1918
% 0.19/0.60  % (840)Time elapsed: 0.010 s
% 0.19/0.60  % (840)Instructions burned: 8 (million)
% 0.19/0.60  % (840)------------------------------
% 0.19/0.60  % (840)------------------------------
% 1.41/0.62  % (837)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.75/0.64  % (843)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.75/0.64  % (833)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.75/0.64  % (838)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.75/0.64  % (854)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.75/0.65  % (836)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.75/0.65  % (851)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.75/0.65  % (835)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.75/0.65  % (864)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.75/0.66  % (846)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.75/0.66  % (859)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.75/0.66  % (862)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.75/0.66  % (848)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.75/0.66  % (855)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.75/0.66  % (861)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.75/0.66  % (856)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.98/0.66  % (844)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.98/0.66  % (841)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.98/0.66  % (841)Instruction limit reached!
% 1.98/0.66  % (841)------------------------------
% 1.98/0.66  % (841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.66  % (841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.66  % (841)Termination reason: Unknown
% 1.98/0.66  % (841)Termination phase: Preprocessing 1
% 1.98/0.66  
% 1.98/0.66  % (841)Memory used [KB]: 1535
% 1.98/0.66  % (841)Time elapsed: 0.003 s
% 1.98/0.66  % (841)Instructions burned: 2 (million)
% 1.98/0.66  % (841)------------------------------
% 1.98/0.66  % (841)------------------------------
% 1.98/0.67  % (852)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.98/0.67  % (863)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.98/0.67  % (853)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.98/0.68  % (839)Instruction limit reached!
% 1.98/0.68  % (839)------------------------------
% 1.98/0.68  % (839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.68  % (839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.68  % (839)Termination reason: Unknown
% 1.98/0.68  % (839)Termination phase: Property scanning
% 1.98/0.68  
% 1.98/0.68  % (839)Memory used [KB]: 2942
% 1.98/0.68  % (839)Time elapsed: 0.037 s
% 1.98/0.68  % (839)Instructions burned: 52 (million)
% 1.98/0.68  % (839)------------------------------
% 1.98/0.68  % (839)------------------------------
% 1.98/0.68  % (842)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.98/0.68  % (860)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.98/0.70  % (834)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.98/0.72  % (849)Instruction limit reached!
% 1.98/0.72  % (849)------------------------------
% 1.98/0.72  % (849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.72  % (849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.72  % (849)Termination reason: Unknown
% 1.98/0.72  % (849)Termination phase: Saturation
% 1.98/0.72  
% 1.98/0.72  % (849)Memory used [KB]: 8571
% 1.98/0.72  % (849)Time elapsed: 0.062 s
% 1.98/0.72  % (849)Instructions burned: 68 (million)
% 1.98/0.72  % (849)------------------------------
% 1.98/0.72  % (849)------------------------------
% 2.45/0.74  % (850)Instruction limit reached!
% 2.45/0.74  % (850)------------------------------
% 2.45/0.74  % (850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.74  % (835)Instruction limit reached!
% 2.45/0.74  % (835)------------------------------
% 2.45/0.74  % (835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.74  % (835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.74  % (835)Termination reason: Unknown
% 2.45/0.74  % (835)Termination phase: Property scanning
% 2.45/0.74  
% 2.45/0.74  % (835)Memory used [KB]: 2942
% 2.45/0.74  % (835)Time elapsed: 0.028 s
% 2.45/0.74  % (835)Instructions burned: 38 (million)
% 2.45/0.74  % (835)------------------------------
% 2.45/0.74  % (835)------------------------------
% 2.45/0.74  % (850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.74  % (850)Termination reason: Unknown
% 2.45/0.74  % (850)Termination phase: Saturation
% 2.45/0.74  
% 2.45/0.74  % (850)Memory used [KB]: 3454
% 2.45/0.74  % (850)Time elapsed: 0.094 s
% 2.45/0.74  % (850)Instructions burned: 75 (million)
% 2.45/0.74  % (850)------------------------------
% 2.45/0.74  % (850)------------------------------
% 2.45/0.76  % (838)Instruction limit reached!
% 2.45/0.76  % (838)------------------------------
% 2.45/0.76  % (838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.76  % (838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.76  % (838)Termination reason: Unknown
% 2.45/0.76  % (838)Termination phase: Property scanning
% 2.45/0.76  
% 2.45/0.76  % (838)Memory used [KB]: 3070
% 2.45/0.76  % (838)Time elapsed: 0.036 s
% 2.45/0.76  % (838)Instructions burned: 50 (million)
% 2.45/0.76  % (838)------------------------------
% 2.45/0.76  % (838)------------------------------
% 2.45/0.76  % (837)Instruction limit reached!
% 2.45/0.76  % (837)------------------------------
% 2.45/0.76  % (837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.76  % (837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.76  % (837)Termination reason: Unknown
% 2.45/0.76  % (837)Termination phase: Property scanning
% 2.45/0.76  
% 2.45/0.76  % (837)Memory used [KB]: 2942
% 2.45/0.76  % (837)Time elapsed: 0.038 s
% 2.45/0.76  % (837)Instructions burned: 51 (million)
% 2.45/0.76  % (837)------------------------------
% 2.45/0.76  % (837)------------------------------
% 2.45/0.76  % (836)Instruction limit reached!
% 2.45/0.76  % (836)------------------------------
% 2.45/0.76  % (836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.76  % (836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.76  % (836)Termination reason: Unknown
% 2.45/0.76  % (836)Termination phase: Saturation
% 2.45/0.76  
% 2.45/0.76  % (836)Memory used [KB]: 7291
% 2.45/0.76  % (836)Time elapsed: 0.037 s
% 2.45/0.76  % (836)Instructions burned: 51 (million)
% 2.45/0.76  % (836)------------------------------
% 2.45/0.76  % (836)------------------------------
% 2.72/0.77  % (843)Instruction limit reached!
% 2.72/0.77  % (843)------------------------------
% 2.72/0.77  % (843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.72/0.77  % (843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.72/0.77  % (843)Termination reason: Unknown
% 2.72/0.77  % (843)Termination phase: Property scanning
% 2.72/0.77  
% 2.72/0.77  % (843)Memory used [KB]: 3198
% 2.72/0.77  % (843)Time elapsed: 0.036 s
% 2.72/0.77  % (843)Instructions burned: 50 (million)
% 2.72/0.77  % (843)------------------------------
% 2.72/0.77  % (843)------------------------------
% 2.72/0.79  % (869)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.72/0.79  % (842)Instruction limit reached!
% 2.72/0.79  % (842)------------------------------
% 2.72/0.79  % (842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.72/0.79  % (842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.72/0.79  % (842)Termination reason: Unknown
% 2.72/0.79  % (842)Termination phase: Property scanning
% 2.72/0.79  
% 2.72/0.79  % (842)Memory used [KB]: 2942
% 2.72/0.79  % (842)Time elapsed: 0.036 s
% 2.72/0.79  % (842)Instructions burned: 51 (million)
% 2.72/0.79  % (842)------------------------------
% 2.72/0.79  % (842)------------------------------
% 2.72/0.81  % (834)Instruction limit reached!
% 2.72/0.81  % (834)------------------------------
% 2.72/0.81  % (834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.72/0.81  % (834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.72/0.81  % (834)Termination reason: Unknown
% 2.72/0.81  % (834)Termination phase: Property scanning
% 2.72/0.81  
% 2.72/0.81  % (834)Memory used [KB]: 2942
% 2.72/0.81  % (834)Time elapsed: 0.035 s
% 2.72/0.81  % (834)Instructions burned: 51 (million)
% 2.72/0.81  % (834)------------------------------
% 2.72/0.81  % (834)------------------------------
% 2.72/0.81  % (852)Instruction limit reached!
% 2.72/0.81  % (852)------------------------------
% 2.72/0.81  % (852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.72/0.81  % (852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.72/0.81  % (852)Termination reason: Unknown
% 2.72/0.81  % (852)Termination phase: Blocked clause elimination
% 2.72/0.81  
% 2.72/0.81  % (852)Memory used [KB]: 3198
% 2.72/0.81  % (852)Time elapsed: 0.042 s
% 2.72/0.81  % (852)Instructions burned: 60 (million)
% 2.72/0.81  % (852)------------------------------
% 2.72/0.81  % (852)------------------------------
% 2.72/0.82  % (861)Instruction limit reached!
% 2.72/0.82  % (861)------------------------------
% 2.72/0.82  % (861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.72/0.82  % (861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.72/0.82  % (861)Termination reason: Unknown
% 2.72/0.82  % (861)Termination phase: Saturation
% 2.72/0.82  
% 2.72/0.82  % (861)Memory used [KB]: 8571
% 2.72/0.82  % (861)Time elapsed: 0.048 s
% 2.72/0.82  % (861)Instructions burned: 68 (million)
% 2.72/0.82  % (861)------------------------------
% 2.72/0.82  % (861)------------------------------
% 3.12/0.86  % (879)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.24/0.87  % (846)Instruction limit reached!
% 3.24/0.87  % (846)------------------------------
% 3.24/0.87  % (846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.24/0.87  % (846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.24/0.87  % (846)Termination reason: Unknown
% 3.24/0.87  % (846)Termination phase: Saturation
% 3.24/0.87  
% 3.24/0.87  % (846)Memory used [KB]: 8059
% 3.24/0.87  % (846)Time elapsed: 0.071 s
% 3.24/0.87  % (846)Instructions burned: 101 (million)
% 3.24/0.87  % (846)------------------------------
% 3.24/0.87  % (846)------------------------------
% 3.24/0.89  % (853)Instruction limit reached!
% 3.24/0.89  % (853)------------------------------
% 3.24/0.89  % (853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.24/0.89  % (853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.24/0.89  % (853)Termination reason: Unknown
% 3.24/0.89  % (853)Termination phase: Saturation
% 3.24/0.89  
% 3.24/0.89  % (853)Memory used [KB]: 8059
% 3.24/0.89  % (853)Time elapsed: 0.071 s
% 3.24/0.89  % (853)Instructions burned: 100 (million)
% 3.24/0.89  % (853)------------------------------
% 3.24/0.89  % (853)------------------------------
% 3.24/0.90  % (854)Instruction limit reached!
% 3.24/0.90  % (854)------------------------------
% 3.24/0.90  % (854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.24/0.90  % (854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.24/0.90  % (854)Termination reason: Unknown
% 3.24/0.90  % (854)Termination phase: Saturation
% 3.24/0.90  
% 3.24/0.90  % (854)Memory used [KB]: 3454
% 3.24/0.90  % (854)Time elapsed: 0.073 s
% 3.24/0.90  % (854)Instructions burned: 100 (million)
% 3.24/0.90  % (854)------------------------------
% 3.24/0.90  % (854)------------------------------
% 3.24/0.90  % (844)Instruction limit reached!
% 3.24/0.90  % (844)------------------------------
% 3.24/0.90  % (844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.24/0.90  % (844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.24/0.90  % (844)Termination reason: Unknown
% 3.24/0.90  % (844)Termination phase: Saturation
% 3.24/0.90  
% 3.24/0.90  % (844)Memory used [KB]: 7931
% 3.24/0.90  % (844)Time elapsed: 0.432 s
% 3.24/0.90  % (844)Instructions burned: 100 (million)
% 3.24/0.90  % (844)------------------------------
% 3.24/0.90  % (844)------------------------------
% 3.24/0.90  % (848)Instruction limit reached!
% 3.24/0.90  % (848)------------------------------
% 3.24/0.90  % (848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.24/0.90  % (848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.24/0.90  % (848)Termination reason: Unknown
% 3.24/0.90  % (848)Termination phase: Saturation
% 3.24/0.90  
% 3.24/0.90  % (848)Memory used [KB]: 7931
% 3.24/0.90  % (848)Time elapsed: 0.071 s
% 3.24/0.90  % (848)Instructions burned: 99 (million)
% 3.24/0.90  % (848)------------------------------
% 3.24/0.90  % (848)------------------------------
% 3.24/0.91  % (882)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.24/0.93  % (884)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.53/0.93  % (851)Instruction limit reached!
% 3.53/0.93  % (851)------------------------------
% 3.53/0.93  % (851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.53/0.93  % (858)First to succeed.
% 3.53/0.94  % (877)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/211Mi)
% 3.53/0.94  % (889)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.53/0.94  % (851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.53/0.94  % (851)Termination reason: Unknown
% 3.53/0.94  % (851)Termination phase: Saturation
% 3.53/0.94  
% 3.53/0.94  % (851)Memory used [KB]: 8187
% 3.53/0.94  % (851)Time elapsed: 0.461 s
% 3.53/0.94  % (851)Instructions burned: 99 (million)
% 3.53/0.94  % (851)------------------------------
% 3.53/0.94  % (851)------------------------------
% 3.53/0.95  % (883)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.61/0.96  % (858)Refutation found. Thanks to Tanya!
% 3.61/0.96  % SZS status Theorem for theBenchmark
% 3.61/0.96  % SZS output start Proof for theBenchmark
% See solution above
% 3.61/0.96  % (858)------------------------------
% 3.61/0.96  % (858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.61/0.96  % (858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.61/0.96  % (858)Termination reason: Refutation
% 3.61/0.96  
% 3.61/0.96  % (858)Memory used [KB]: 8827
% 3.61/0.96  % (858)Time elapsed: 0.453 s
% 3.61/0.96  % (858)Instructions burned: 181 (million)
% 3.61/0.96  % (858)------------------------------
% 3.61/0.96  % (858)------------------------------
% 3.61/0.96  % (832)Success in time 0.606 s
%------------------------------------------------------------------------------