TSTP Solution File: SCT152+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SCT152+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 : n013.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 7.50s 1.37s
% Output   : Refutation 7.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   86 (  15 unt;   1 typ;   0 def)
%            Number of atoms       : 4917 (  53 equ)
%            Maximal formula atoms :   10 (  57 avg)
%            Number of connectives :  518 ( 169   ~; 299   |;   0   &)
%                                         (  15 <=>;  30  =>;   0  <=;   5 <~>)
%            Maximal formula depth :   17 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       : 4483 (4483 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   23 (  21 usr;  11 prp; 0-6 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :  168 ( 163   !;   4   ?; 104   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_46,type,
    sQ90_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f3773,plain,
    $false,
    inference(subsumption_resolution,[],[f3765,f3740]) ).

tff(f3740,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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))),
    inference(subsumption_resolution,[],[f3739,f3721]) ).

tff(f3721,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_c____),hAPP(v_P_H____,sK58(v_b____,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,v_P_H____,v_c____)))
    | c_member(tc_prod(tc_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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    inference(subsumption_resolution,[],[f3720,f1853]) ).

tff(f1853,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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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_c____),hAPP(v_F,v_P_H____)) ),
    inference(cnf_transformation,[],[f1039]) ).

tff(f1039,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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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_c____),hAPP(v_F,v_P_H____)) ),
    inference(ennf_transformation,[],[f520]) ).

tff(f520,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_b____,v_c____),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_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    inference(negated_conjecture,[],[f519]) ).

tff(f519,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_b____,v_c____),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_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f3720,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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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_c____),hAPP(v_P_H____,sK58(v_b____,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,v_P_H____,v_c____)))
    | ~ c_member(tc_prod(tc_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_c____),hAPP(v_F,v_P_H____)) ),
    inference(subsumption_resolution,[],[f3719,f2605]) ).

tff(f2605,plain,
    ~ sQ90_eqProxy($i,v_b____,v_c____),
    inference(equality_proxy_replacement,[],[f2065,f2412]) ).

tff(f2412,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ90_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ90_eqProxy])]) ).

tff(f2065,plain,
    v_b____ != v_c____,
    inference(cnf_transformation,[],[f5]) ).

tff(f5,axiom,
    v_b____ != v_c____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_A_I2_J) ).

tff(f3719,plain,
    ( sQ90_eqProxy($i,v_b____,v_c____)
    | ~ c_member(tc_prod(tc_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_c____),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_c____),hAPP(v_P_H____,sK58(v_b____,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,v_P_H____,v_c____)))
    | c_member(tc_prod(tc_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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    inference(subsumption_resolution,[],[f3718,f2912]) ).

tff(f2912,plain,
    ~ sQ90_eqProxy($i,v_b____,v_a____),
    inference(resolution,[],[f2653,f2510]) ).

tff(f2510,plain,
    ~ sQ90_eqProxy($i,v_a____,v_b____),
    inference(equality_proxy_replacement,[],[f1779,f2412]) ).

tff(f1779,plain,
    v_a____ != v_b____,
    inference(cnf_transformation,[],[f4]) ).

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

tff(f2653,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ90_eqProxy(X0,X2,X1)
      | ~ sQ90_eqProxy(X0,X1,X2) ),
    inference(equality_proxy_axiom,[],[f2412]) ).

tff(f3718,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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | sQ90_eqProxy($i,v_b____,v_a____)
    | sQ90_eqProxy($i,v_b____,v_c____)
    | ~ c_member(tc_prod(tc_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_c____),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_c____),hAPP(v_P_H____,sK58(v_b____,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,v_P_H____,v_c____))) ),
    inference(subsumption_resolution,[],[f3716,f1589]) ).

tff(f1589,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,[],[f8]) ).

tff(f8,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_I5_J) ).

tff(f3716,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_c____),hAPP(v_P_H____,sK58(v_b____,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,v_P_H____,v_c____)))
    | ~ 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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | sQ90_eqProxy($i,v_b____,v_a____)
    | sQ90_eqProxy($i,v_b____,v_c____)
    | ~ c_member(tc_prod(tc_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_c____),hAPP(v_F,v_P_H____)) ),
    inference(duplicate_literal_removal,[],[f3715]) ).

tff(f3715,plain,
    ( sQ90_eqProxy($i,v_b____,v_a____)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK58(v_b____,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,v_P_H____,v_c____)))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | sQ90_eqProxy($i,v_b____,v_c____)
    | sQ90_eqProxy($i,v_b____,v_c____)
    | c_member(tc_prod(tc_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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    inference(factoring,[],[f2740]) ).

tff(f2740,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK58(X0,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,X2,X1)))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK58(X0,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,X2,X1)))
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | sQ90_eqProxy($i,X0,X1)
      | sQ90_eqProxy($i,v_b____,X1)
      | sQ90_eqProxy($i,X0,v_a____)
      | c_member(tc_prod(tc_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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    inference(subsumption_resolution,[],[f2739,f1892]) ).

tff(f1892,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)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf),
    inference(cnf_transformation,[],[f10]) ).

tff(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)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cP) ).

tff(f2739,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK58(X0,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,X2,X1)))
      | sQ90_eqProxy($i,X0,v_a____)
      | ~ 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)
      | sQ90_eqProxy($i,v_b____,X1)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK58(X0,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,X2,X1)))
      | sQ90_eqProxy($i,X0,X1) ),
    inference(subsumption_resolution,[],[f2733,f2510]) ).

tff(f2733,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( sQ90_eqProxy($i,X0,X1)
      | sQ90_eqProxy($i,v_a____,v_b____)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK58(X0,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,X2,X1)))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
      | sQ90_eqProxy($i,v_b____,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(X2,sK58(X0,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,X2,X1)))
      | sQ90_eqProxy($i,X0,v_a____)
      | ~ 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(v_F,X2)) ),
    inference(resolution,[],[f2576,f1695]) ).

tff(f1695,plain,
    ! [X0: $i] :
      ( ~ c_member(tc_prod(tc_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(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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_c____),hAPP(v_P_H____,X0)) ),
    inference(cnf_transformation,[],[f644]) ).

tff(f644,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(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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_c____),hAPP(v_P_H____,X0)) ),
    inference(rectify,[],[f11]) ).

tff(f11,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_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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_b____,v_c____),hAPP(v_P_H____,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096ALL_Ai_O_A_Ib_A_060_092_060_094bsub_062_Iconverse_Ao_AP_J_Ai_092_060_094esub_062_Aa_J_A_061_A_Ib_A_060_092_060_094bsub_062P_H_Ai_092_060_094esub_062_Ac_J_096) ).

tff(f2576,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),hAPP(X2,sK58(X0,X1,X2,X3,X4,X5)))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | sQ90_eqProxy($i,X0,X5)
      | sQ90_eqProxy($i,X3,X5)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X5),hAPP(X4,sK58(X0,X1,X2,X3,X4,X5)))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X4,c_Arrow__Order__Mirabelle_OProf)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),hAPP(v_F,X2))
      | sQ90_eqProxy($i,X1,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,X5),hAPP(v_F,X4))
      | sQ90_eqProxy($i,X0,X1) ),
    inference(equality_proxy_replacement,[],[f1991,f2412]) ).

tff(f1991,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( ( 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,X5),hAPP(X4,sK58(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,X1),hAPP(X2,sK58(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,X1),hAPP(v_F,X2))
      | ( X0 = X5 )
      | ( 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,X0,X5),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)),X4,c_Arrow__Order__Mirabelle_OProf)
      | ( X3 = X5 ) ),
    inference(cnf_transformation,[],[f1145]) ).

tff(f1145,plain,
    ! [X3,X0,X5,X1,X4,X2] :
      ( ( 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)),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,X5),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)),X2,c_Arrow__Order__Mirabelle_OProf)
      | ( X1 = X3 )
      | ( 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,X3,X1),hAPP(v_F,X2))
      | ? [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,X1),hAPP(X2,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,X0,X5),hAPP(X4,X6)) )
      | ( X0 = X1 ) ),
    inference(flattening,[],[f1144]) ).

tff(f1144,plain,
    ! [X5,X3,X1,X4,X2,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,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,X0,X5),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,X1),hAPP(X2,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,X0,X5),hAPP(X4,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)),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)),X4,c_Arrow__Order__Mirabelle_OProf)
      | ( X3 = X5 )
      | ( X0 = X1 )
      | ( X1 = X3 )
      | ( X0 = X5 ) ),
    inference(ennf_transformation,[],[f864]) ).

tff(f864,plain,
    ! [X5,X3,X1,X4,X2,X0] :
      ( ( X0 != X5 )
     => ( ( X1 != X3 )
       => ( ( X0 != X1 )
         => ( ( 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)),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)),X2,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,X0,X5),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,X1),hAPP(X2,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,X0,X5),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,X1),hAPP(v_F,X2)) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f13]) ).

tff(f13,axiom,
    ! [X9,X6,X4,X7,X5,X8] :
      ( ( X8 != X9 )
     => ( ( X6 != X7 )
       => ( ( X6 != X9 )
         => ( ( X7 != 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)),X5,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)
               => ( ! [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,X7,X6),hAPP(X4,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,X9,X8),hAPP(X5,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,X9,X8),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,X7,X6),hAPP(v_F,X4)) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__C1_C) ).

tff(f3739,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_c____),hAPP(v_P_H____,sK58(v_b____,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,v_P_H____,v_c____)))
    | c_member(tc_prod(tc_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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    inference(subsumption_resolution,[],[f3738,f1853]) ).

tff(f3738,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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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_c____),hAPP(v_P_H____,sK58(v_b____,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,v_P_H____,v_c____)))
    | ~ c_member(tc_prod(tc_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_c____),hAPP(v_F,v_P_H____)) ),
    inference(subsumption_resolution,[],[f3737,f1589]) ).

tff(f3737,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_c____),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_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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_c____),hAPP(v_P_H____,sK58(v_b____,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,v_P_H____,v_c____))) ),
    inference(subsumption_resolution,[],[f3736,f2912]) ).

tff(f3736,plain,
    ( sQ90_eqProxy($i,v_b____,v_a____)
    | ~ 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_c____),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_c____),hAPP(v_P_H____,sK58(v_b____,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,v_P_H____,v_c____)))
    | c_member(tc_prod(tc_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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    inference(subsumption_resolution,[],[f3735,f2605]) ).

tff(f3735,plain,
    ( sQ90_eqProxy($i,v_b____,v_c____)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____))
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK58(v_b____,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,v_P_H____,v_c____)))
    | sQ90_eqProxy($i,v_b____,v_a____) ),
    inference(duplicate_literal_removal,[],[f3733]) ).

tff(f3733,plain,
    ( sQ90_eqProxy($i,v_b____,v_c____)
    | sQ90_eqProxy($i,v_b____,v_c____)
    | ~ c_member(tc_prod(tc_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_c____),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_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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_c____),hAPP(v_P_H____,sK58(v_b____,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,v_P_H____,v_c____)))
    | sQ90_eqProxy($i,v_b____,v_a____) ),
    inference(resolution,[],[f3721,f2731]) ).

tff(f2731,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK58(X0,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,X2,X1)))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
      | sQ90_eqProxy($i,v_b____,X1)
      | sQ90_eqProxy($i,X0,X1)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK58(X0,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,X2,X1)))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
      | sQ90_eqProxy($i,X0,v_a____) ),
    inference(subsumption_resolution,[],[f2730,f2510]) ).

tff(f2730,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | sQ90_eqProxy($i,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_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
      | sQ90_eqProxy($i,X0,v_a____)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK58(X0,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,X2,X1)))
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK58(X0,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,X2,X1)))
      | sQ90_eqProxy($i,v_b____,X1)
      | sQ90_eqProxy($i,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,X0,X1),hAPP(v_F,X2)) ),
    inference(subsumption_resolution,[],[f2725,f1892]) ).

tff(f2725,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK58(X0,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,X2,X1)))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
      | sQ90_eqProxy($i,X0,v_a____)
      | sQ90_eqProxy($i,v_b____,X1)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK58(X0,v_a____,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_b____,X2,X1)))
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
      | sQ90_eqProxy($i,v_a____,v_b____)
      | sQ90_eqProxy($i,X0,X1) ),
    inference(resolution,[],[f2575,f1694]) ).

tff(f1694,plain,
    ! [X0: $i] :
      ( c_member(tc_prod(tc_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(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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_c____),hAPP(v_P_H____,X0)) ),
    inference(cnf_transformation,[],[f644]) ).

tff(f2575,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),hAPP(X2,sK58(X0,X1,X2,X3,X4,X5)))
      | sQ90_eqProxy($i,X0,X1)
      | sQ90_eqProxy($i,X1,X3)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | sQ90_eqProxy($i,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,X3,X1),hAPP(v_F,X2))
      | sQ90_eqProxy($i,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,X5),hAPP(X4,sK58(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,X5),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)),X4,c_Arrow__Order__Mirabelle_OProf) ),
    inference(equality_proxy_replacement,[],[f1992,f2412]) ).

tff(f1992,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( ( 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,X5),hAPP(X4,sK58(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,X1),hAPP(X2,sK58(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,X1),hAPP(v_F,X2))
      | ( X0 = X5 )
      | ( 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,X0,X5),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)),X4,c_Arrow__Order__Mirabelle_OProf)
      | ( X3 = X5 ) ),
    inference(cnf_transformation,[],[f1145]) ).

tff(f3765,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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))),
    inference(subsumption_resolution,[],[f3764,f3732]) ).

tff(f3732,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_c____),hAPP(v_P_H____,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_b____,v_a____,v_c____,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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    inference(subsumption_resolution,[],[f3731,f2979]) ).

tff(f2979,plain,
    ! [X15: $i] :
      ( ~ c_member(X15,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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_c____),hAPP(v_F,v_P_H____)) ),
    inference(resolution,[],[f2839,f1854]) ).

tff(f1854,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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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_c____),hAPP(v_F,v_P_H____)) ),
    inference(cnf_transformation,[],[f1039]) ).

tff(f2839,plain,
    ! [X8: $i,X6: $i,X9: $i,X7: $i] :
      ( c_member(X6,X7,X8)
      | ~ c_member(X9,X7,X8) ),
    inference(resolution,[],[f2145,f2144]) ).

tff(f2144,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( hBOOL(hAPP(X1,X2))
      | ~ c_member(X0,X2,X1) ),
    inference(cnf_transformation,[],[f555]) ).

tff(f555,plain,
    ! [X2,X0,X1] :
      ( hBOOL(hAPP(X1,X2))
    <=> c_member(X0,X2,X1) ),
    inference(rectify,[],[f27]) ).

tff(f27,axiom,
    ! [X12,X15,X19] :
      ( c_member(X12,X19,X15)
    <=> hBOOL(hAPP(X15,X19)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mem__def) ).

tff(f2145,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ~ hBOOL(hAPP(X1,X2))
      | c_member(X0,X2,X1) ),
    inference(cnf_transformation,[],[f555]) ).

tff(f3731,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_c____),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_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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_c____),hAPP(v_P_H____,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_b____,v_a____,v_c____,v_b____))) ),
    inference(subsumption_resolution,[],[f3730,f2912]) ).

tff(f3730,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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | sQ90_eqProxy($i,v_b____,v_a____)
    | c_member(tc_prod(tc_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_c____),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_c____),hAPP(v_P_H____,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_b____,v_a____,v_c____,v_b____))) ),
    inference(subsumption_resolution,[],[f3729,f1589]) ).

tff(f3729,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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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_c____),hAPP(v_F,v_P_H____))
    | sQ90_eqProxy($i,v_b____,v_a____)
    | c_member(tc_prod(tc_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_c____),hAPP(v_P_H____,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_b____,v_a____,v_c____,v_b____))) ),
    inference(subsumption_resolution,[],[f3728,f2913]) ).

tff(f2913,plain,
    ~ sQ90_eqProxy($i,v_c____,v_b____),
    inference(resolution,[],[f2653,f2605]) ).

tff(f3728,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_c____),hAPP(v_P_H____,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_b____,v_a____,v_c____,v_b____)))
    | sQ90_eqProxy($i,v_c____,v_b____)
    | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | sQ90_eqProxy($i,v_b____,v_a____)
    | c_member(tc_prod(tc_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_c____),hAPP(v_F,v_P_H____)) ),
    inference(subsumption_resolution,[],[f3726,f2605]) ).

tff(f3726,plain,
    ( sQ90_eqProxy($i,v_b____,v_c____)
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____))
    | sQ90_eqProxy($i,v_c____,v_b____)
    | sQ90_eqProxy($i,v_b____,v_a____)
    | ~ 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_c____),hAPP(v_P_H____,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_b____,v_a____,v_c____,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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    inference(factoring,[],[f2756]) ).

tff(f2756,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X2,X0,v_a____,X1,v_b____)))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
      | sQ90_eqProxy($i,X1,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,X0,X1),hAPP(X2,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X2,X0,v_a____,X1,v_b____)))
      | sQ90_eqProxy($i,X0,v_a____)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
      | sQ90_eqProxy($i,X0,X1) ),
    inference(subsumption_resolution,[],[f2755,f2510]) ).

tff(f2755,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( sQ90_eqProxy($i,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(X2,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X2,X0,v_a____,X1,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,X0,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,v_b____,v_c____),hAPP(v_P_H____,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X2,X0,v_a____,X1,v_b____)))
      | sQ90_eqProxy($i,v_a____,v_b____)
      | ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2,c_Arrow__Order__Mirabelle_OProf)
      | sQ90_eqProxy($i,X1,v_b____)
      | sQ90_eqProxy($i,X0,v_a____)
      | ~ c_member(tc_prod(tc_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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    inference(subsumption_resolution,[],[f2749,f1892]) ).

tff(f2749,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
      | sQ90_eqProxy($i,X0,v_a____)
      | ~ 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)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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,X0,X1),hAPP(v_F,X2))
      | sQ90_eqProxy($i,v_a____,v_b____)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X2,X0,v_a____,X1,v_b____)))
      | sQ90_eqProxy($i,X1,v_b____)
      | sQ90_eqProxy($i,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(X2,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X2,X0,v_a____,X1,v_b____))) ),
    inference(resolution,[],[f2645,f1695]) ).

tff(f2645,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X3),hAPP(X0,sK89(X0,X1,X2,X3,X4,X5)))
      | sQ90_eqProxy($i,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)),X0,c_Arrow__Order__Mirabelle_OProf)
      | sQ90_eqProxy($i,X4,X5)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X3),hAPP(v_F,X0))
      | sQ90_eqProxy($i,X3,X5)
      | sQ90_eqProxy($i,X2,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)
      | c_member(tc_prod(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,X4),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,X4),hAPP(X1,sK89(X0,X1,X2,X3,X4,X5))) ),
    inference(equality_proxy_replacement,[],[f2210,f2412]) ).

tff(f2210,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( ( 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)
      | ( X3 = X5 )
      | ( 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,X5,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,X4),hAPP(v_F,X1))
      | ( 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,X2,X4),hAPP(X1,sK89(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,X5,X3),hAPP(X0,sK89(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) ),
    inference(cnf_transformation,[],[f1174]) ).

tff(f1174,plain,
    ! [X2,X5,X3,X0,X4,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)
      | ? [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,X3),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,X2,X4),hAPP(X1,X6)) )
      | ( 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,X2,X4),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,X5,X3),hAPP(v_F,X0)) )
      | ( X2 = X3 )
      | ( 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)),X0,c_Arrow__Order__Mirabelle_OProf)
      | ( X4 = X5 ) ),
    inference(flattening,[],[f1173]) ).

tff(f1173,plain,
    ! [X2,X0,X5,X4,X1,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,X4),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,X5,X3),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,X3),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,X2,X4),hAPP(X1,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)),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)
      | ( X2 = X3 )
      | ( X4 = X5 )
      | ( X2 = X4 )
      | ( X3 = X5 ) ),
    inference(ennf_transformation,[],[f689]) ).

tff(f689,plain,
    ! [X2,X0,X5,X4,X1,X3] :
      ( ( X3 != X5 )
     => ( ( X2 != X4 )
       => ( ( X4 != X5 )
         => ( ( 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)),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)
               => ( ! [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,X3),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,X2,X4),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,X4),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,X5,X3),hAPP(v_F,X0)) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f12]) ).

tff(f12,axiom,
    ! [X5,X4,X7,X8,X6,X9] :
      ( ( X8 != X9 )
     => ( ( X6 != X7 )
       => ( ( X6 != X9 )
         => ( ( X7 != 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)),X5,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)
               => ( ! [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,X7,X6),hAPP(X4,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,X9,X8),hAPP(X5,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,X9,X8),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,X7,X6),hAPP(v_F,X4)) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__C2_C) ).

tff(f3764,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_c____),hAPP(v_P_H____,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_b____,v_a____,v_c____,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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    inference(subsumption_resolution,[],[f3763,f2979]) ).

tff(f3763,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_c____),hAPP(v_P_H____,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_b____,v_a____,v_c____,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_c____),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_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    inference(subsumption_resolution,[],[f3762,f2912]) ).

tff(f3762,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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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_c____),hAPP(v_F,v_P_H____))
    | sQ90_eqProxy($i,v_b____,v_a____)
    | ~ c_member(tc_prod(tc_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_c____),hAPP(v_P_H____,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_b____,v_a____,v_c____,v_b____))) ),
    inference(subsumption_resolution,[],[f3761,f1589]) ).

tff(f3761,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_c____),hAPP(v_P_H____,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_b____,v_a____,v_c____,v_b____)))
    | sQ90_eqProxy($i,v_b____,v_a____)
    | c_member(tc_prod(tc_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_c____),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_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    inference(subsumption_resolution,[],[f3760,f2913]) ).

tff(f3760,plain,
    ( sQ90_eqProxy($i,v_c____,v_b____)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____))
    | sQ90_eqProxy($i,v_b____,v_a____)
    | ~ 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_c____),hAPP(v_P_H____,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_b____,v_a____,v_c____,v_b____))) ),
    inference(subsumption_resolution,[],[f3759,f2605]) ).

tff(f3759,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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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_c____),hAPP(v_F,v_P_H____))
    | sQ90_eqProxy($i,v_b____,v_c____)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_b____,v_a____,v_c____,v_b____)))
    | sQ90_eqProxy($i,v_b____,v_a____)
    | ~ 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)
    | sQ90_eqProxy($i,v_c____,v_b____) ),
    inference(duplicate_literal_removal,[],[f3757]) ).

tff(f3757,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_c____),hAPP(v_F,v_P_H____))
    | sQ90_eqProxy($i,v_b____,v_a____)
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),v_P_H____,v_b____,v_a____,v_c____,v_b____)))
    | sQ90_eqProxy($i,v_b____,v_c____)
    | ~ c_member(tc_prod(tc_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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
    | sQ90_eqProxy($i,v_c____,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) ),
    inference(resolution,[],[f3732,f2747]) ).

tff(f2747,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X2,X0,v_a____,X1,v_b____)))
      | sQ90_eqProxy($i,X0,v_a____)
      | ~ 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(X2,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X2,X0,v_a____,X1,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,X0,X1),hAPP(v_F,X2))
      | sQ90_eqProxy($i,X1,v_b____)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
      | sQ90_eqProxy($i,X0,X1) ),
    inference(subsumption_resolution,[],[f2746,f2510]) ).

tff(f2746,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X2,X0,v_a____,X1,v_b____)))
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_F,X2))
      | sQ90_eqProxy($i,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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))
      | sQ90_eqProxy($i,X0,v_a____)
      | sQ90_eqProxy($i,X1,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)),X2,c_Arrow__Order__Mirabelle_OProf)
      | sQ90_eqProxy($i,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(X2,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X2,X0,v_a____,X1,v_b____))) ),
    inference(subsumption_resolution,[],[f2741,f1892]) ).

tff(f2741,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ~ c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(X2,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X2,X0,v_a____,X1,v_b____)))
      | sQ90_eqProxy($i,X0,X1)
      | sQ90_eqProxy($i,v_a____,v_b____)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,sK89(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),X2,X0,v_a____,X1,v_b____)))
      | sQ90_eqProxy($i,X1,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,X0,X1),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)
      | sQ90_eqProxy($i,X0,v_a____)
      | ~ c_member(tc_prod(tc_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,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____))) ),
    inference(resolution,[],[f2644,f1694]) ).

tff(f2644,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X3),hAPP(X0,sK89(X0,X1,X2,X3,X4,X5)))
      | sQ90_eqProxy($i,X2,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)
      | sQ90_eqProxy($i,X3,X5)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X5,X3),hAPP(v_F,X0))
      | sQ90_eqProxy($i,X4,X5)
      | sQ90_eqProxy($i,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,X2,X4),hAPP(X1,sK89(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,X4),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(equality_proxy_replacement,[],[f2211,f2412]) ).

tff(f2211,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
      ( ( 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)
      | ( X3 = X5 )
      | ( 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,X5,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,X4),hAPP(v_F,X1))
      | ( 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,X2,X4),hAPP(X1,sK89(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,X5,X3),hAPP(X0,sK89(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) ),
    inference(cnf_transformation,[],[f1174]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SCT152+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
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 12:33:46 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.51  % (30109)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)
% 0.19/0.51  % (30101)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)
% 0.19/0.51  % (30101)Instruction limit reached!
% 0.19/0.51  % (30101)------------------------------
% 0.19/0.51  % (30101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (30101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (30101)Termination reason: Unknown
% 0.19/0.51  % (30101)Termination phase: Preprocessing 1
% 0.19/0.51  
% 0.19/0.51  % (30101)Memory used [KB]: 2046
% 0.19/0.51  % (30101)Time elapsed: 0.005 s
% 0.19/0.51  % (30101)Instructions burned: 3 (million)
% 0.19/0.51  % (30101)------------------------------
% 0.19/0.51  % (30101)------------------------------
% 0.19/0.51  % (30092)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)
% 0.19/0.53  % (30102)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)
% 0.19/0.53  % (30090)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)
% 0.19/0.54  % (30091)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)
% 0.19/0.54  % (30088)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)
% 0.19/0.54  % (30088)Instruction limit reached!
% 0.19/0.54  % (30088)------------------------------
% 0.19/0.54  % (30088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (30088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (30088)Termination reason: Unknown
% 0.19/0.54  % (30088)Termination phase: Preprocessing 1
% 0.19/0.54  
% 0.19/0.54  % (30088)Memory used [KB]: 2046
% 0.19/0.54  % (30088)Time elapsed: 0.003 s
% 0.19/0.54  % (30088)Instructions burned: 3 (million)
% 0.19/0.54  % (30088)------------------------------
% 0.19/0.54  % (30088)------------------------------
% 0.19/0.54  % (30087)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)
% 0.19/0.54  % (30093)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)
% 0.19/0.54  % (30086)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.54  % (30102)Instruction limit reached!
% 0.19/0.54  % (30102)------------------------------
% 0.19/0.54  % (30102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (30102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (30102)Termination reason: Unknown
% 0.19/0.54  % (30110)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)
% 0.19/0.54  % (30102)Termination phase: Preprocessing 1
% 0.19/0.54  
% 0.19/0.54  % (30102)Memory used [KB]: 2430
% 0.19/0.54  % (30102)Time elapsed: 0.008 s
% 0.19/0.54  % (30102)Instructions burned: 7 (million)
% 0.19/0.54  % (30102)------------------------------
% 0.19/0.54  % (30102)------------------------------
% 0.19/0.55  % (30089)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)
% 0.19/0.56  % (30113)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)
% 0.19/0.56  % (30092)Instruction limit reached!
% 0.19/0.56  % (30092)------------------------------
% 0.19/0.56  % (30092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (30092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (30092)Termination reason: Unknown
% 0.19/0.56  % (30092)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (30092)Memory used [KB]: 7291
% 0.19/0.56  % (30092)Time elapsed: 0.086 s
% 0.19/0.56  % (30092)Instructions burned: 39 (million)
% 0.19/0.56  % (30092)------------------------------
% 0.19/0.56  % (30092)------------------------------
% 0.19/0.56  % (30112)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)
% 1.42/0.56  % (30090)Instruction limit reached!
% 1.42/0.56  % (30090)------------------------------
% 1.42/0.56  % (30090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (30090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56  % (30090)Termination reason: Unknown
% 1.42/0.56  % (30090)Termination phase: Property scanning
% 1.42/0.56  
% 1.42/0.56  % (30090)Memory used [KB]: 2430
% 1.42/0.56  % (30090)Time elapsed: 0.009 s
% 1.42/0.56  % (30090)Instructions burned: 16 (million)
% 1.42/0.56  % (30090)------------------------------
% 1.42/0.56  % (30090)------------------------------
% 1.42/0.56  % (30116)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)
% 1.42/0.56  % (30105)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)
% 1.42/0.56  % (30105)Instruction limit reached!
% 1.42/0.56  % (30105)------------------------------
% 1.42/0.56  % (30105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (30105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56  % (30105)Termination reason: Unknown
% 1.42/0.56  % (30105)Termination phase: SInE selection
% 1.42/0.56  
% 1.42/0.56  % (30105)Memory used [KB]: 1918
% 1.42/0.56  % (30105)Time elapsed: 0.003 s
% 1.42/0.56  % (30105)Instructions burned: 2 (million)
% 1.42/0.56  % (30105)------------------------------
% 1.42/0.56  % (30105)------------------------------
% 1.42/0.56  % (30114)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)
% 1.42/0.56  % (30115)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)
% 1.42/0.56  % (30097)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)
% 1.42/0.57  % (30087)Instruction limit reached!
% 1.42/0.57  % (30087)------------------------------
% 1.42/0.57  % (30087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.57  % (30087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.57  % (30087)Termination reason: Unknown
% 1.42/0.57  % (30087)Termination phase: Property scanning
% 1.42/0.57  
% 1.42/0.57  % (30087)Memory used [KB]: 2302
% 1.42/0.57  % (30087)Time elapsed: 0.009 s
% 1.42/0.57  % (30087)Instructions burned: 15 (million)
% 1.42/0.57  % (30087)------------------------------
% 1.42/0.57  % (30087)------------------------------
% 1.42/0.57  % (30108)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)
% 1.42/0.57  % (30097)Instruction limit reached!
% 1.42/0.57  % (30097)------------------------------
% 1.42/0.57  % (30097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.57  % (30097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.57  % (30097)Termination reason: Unknown
% 1.42/0.57  % (30097)Termination phase: Preprocessing 2
% 1.42/0.57  
% 1.42/0.57  % (30097)Memory used [KB]: 2686
% 1.42/0.57  % (30097)Time elapsed: 0.007 s
% 1.42/0.57  % (30097)Instructions burned: 12 (million)
% 1.42/0.57  % (30097)------------------------------
% 1.42/0.57  % (30097)------------------------------
% 1.42/0.57  % (30095)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)
% 1.42/0.57  % (30107)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)
% 1.42/0.57  % (30106)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)
% 1.42/0.57  % (30104)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.42/0.57  % (30104)Instruction limit reached!
% 1.42/0.57  % (30104)------------------------------
% 1.42/0.57  % (30104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.57  % (30104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.57  % (30104)Termination reason: Unknown
% 1.42/0.57  % (30104)Termination phase: Preprocessing 1
% 1.42/0.57  
% 1.42/0.57  % (30104)Memory used [KB]: 2046
% 1.42/0.57  % (30104)Time elapsed: 0.003 s
% 1.42/0.57  % (30104)Instructions burned: 3 (million)
% 1.42/0.57  % (30104)------------------------------
% 1.42/0.57  % (30104)------------------------------
% 1.42/0.57  % (30096)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)
% 1.42/0.57  % (30100)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)
% 1.42/0.57  % (30111)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)
% 1.42/0.57  % (30098)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)
% 1.42/0.57  % (30099)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)
% 1.58/0.58  % (30098)Instruction limit reached!
% 1.58/0.58  % (30098)------------------------------
% 1.58/0.58  % (30098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.58  % (30098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.58  % (30098)Termination reason: Unknown
% 1.58/0.58  % (30098)Termination phase: Preprocessing 1
% 1.58/0.58  
% 1.58/0.58  % (30098)Memory used [KB]: 2302
% 1.58/0.58  % (30098)Time elapsed: 0.006 s
% 1.58/0.58  % (30098)Instructions burned: 8 (million)
% 1.58/0.58  % (30098)------------------------------
% 1.58/0.58  % (30098)------------------------------
% 1.58/0.58  % (30091)Instruction limit reached!
% 1.58/0.58  % (30091)------------------------------
% 1.58/0.58  % (30091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.58  % (30091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.58  % (30091)Termination reason: Unknown
% 1.58/0.58  % (30091)Termination phase: Preprocessing 3
% 1.58/0.58  
% 1.58/0.58  % (30091)Memory used [KB]: 2942
% 1.58/0.58  % (30091)Time elapsed: 0.010 s
% 1.58/0.58  % (30091)Instructions burned: 17 (million)
% 1.58/0.58  % (30091)------------------------------
% 1.58/0.58  % (30091)------------------------------
% 1.58/0.58  % (30103)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)
% 1.58/0.58  % (30093)Instruction limit reached!
% 1.58/0.58  % (30093)------------------------------
% 1.58/0.58  % (30093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.58  % (30093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.58  % (30093)Termination reason: Unknown
% 1.58/0.58  % (30093)Termination phase: Equality resolution with deletion
% 1.58/0.58  
% 1.58/0.58  % (30093)Memory used [KB]: 3454
% 1.58/0.58  % (30093)Time elapsed: 0.043 s
% 1.58/0.58  % (30093)Instructions burned: 39 (million)
% 1.58/0.58  % (30093)------------------------------
% 1.58/0.58  % (30093)------------------------------
% 1.58/0.59  % (30115)Instruction limit reached!
% 1.58/0.59  % (30115)------------------------------
% 1.58/0.59  % (30115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.59  % (30115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.59  % (30115)Termination reason: Unknown
% 1.58/0.59  % (30115)Termination phase: Preprocessing 2
% 1.58/0.59  
% 1.58/0.59  % (30115)Memory used [KB]: 2558
% 1.58/0.59  % (30115)Time elapsed: 0.005 s
% 1.58/0.59  % (30115)Instructions burned: 9 (million)
% 1.58/0.59  % (30115)------------------------------
% 1.58/0.59  % (30115)------------------------------
% 1.58/0.59  % (30106)Instruction limit reached!
% 1.58/0.59  % (30106)------------------------------
% 1.58/0.59  % (30106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.59  % (30106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.59  % (30106)Termination reason: Unknown
% 1.58/0.59  % (30106)Termination phase: Preprocessing 3
% 1.58/0.59  
% 1.58/0.59  % (30106)Memory used [KB]: 2430
% 1.58/0.59  % (30106)Time elapsed: 0.008 s
% 1.58/0.59  % (30106)Instructions burned: 12 (million)
% 1.58/0.59  % (30106)------------------------------
% 1.58/0.59  % (30106)------------------------------
% 1.58/0.59  % (30110)Instruction limit reached!
% 1.58/0.59  % (30110)------------------------------
% 1.58/0.59  % (30110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.59  % (30110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.59  % (30110)Termination reason: Unknown
% 1.58/0.59  % (30110)Termination phase: Property scanning
% 1.58/0.59  
% 1.58/0.59  % (30110)Memory used [KB]: 3454
% 1.58/0.59  % (30110)Time elapsed: 0.046 s
% 1.58/0.59  % (30110)Instructions burned: 46 (million)
% 1.58/0.59  % (30110)------------------------------
% 1.58/0.59  % (30110)------------------------------
% 1.58/0.60  % (30099)Instruction limit reached!
% 1.58/0.60  % (30099)------------------------------
% 1.58/0.60  % (30099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.60  % (30099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.60  % (30099)Termination reason: Unknown
% 1.58/0.60  % (30099)Termination phase: Preprocessing 3
% 1.58/0.60  
% 1.58/0.60  % (30099)Memory used [KB]: 2942
% 1.58/0.60  % (30099)Time elapsed: 0.012 s
% 1.58/0.60  % (30099)Instructions burned: 18 (million)
% 1.58/0.60  % (30099)------------------------------
% 1.58/0.60  % (30099)------------------------------
% 1.58/0.61  % (30114)Instruction limit reached!
% 1.58/0.61  % (30114)------------------------------
% 1.58/0.61  % (30114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.61  % (30114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.61  % (30114)Termination reason: Unknown
% 1.58/0.61  % (30114)Termination phase: Preprocessing 3
% 1.58/0.61  
% 1.58/0.61  % (30114)Memory used [KB]: 3326
% 1.58/0.61  % (30114)Time elapsed: 0.014 s
% 1.58/0.61  % (30114)Instructions burned: 25 (million)
% 1.58/0.61  % (30114)------------------------------
% 1.58/0.61  % (30114)------------------------------
% 1.58/0.61  % (30116)Instruction limit reached!
% 1.58/0.61  % (30116)------------------------------
% 1.58/0.61  % (30116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.61  % (30116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.61  % (30116)Termination reason: Unknown
% 1.58/0.61  % (30116)Termination phase: Property scanning
% 1.58/0.61  
% 1.58/0.61  % (30116)Memory used [KB]: 3070
% 1.58/0.61  % (30116)Time elapsed: 0.014 s
% 1.58/0.61  % (30116)Instructions burned: 27 (million)
% 1.58/0.61  % (30116)------------------------------
% 1.58/0.61  % (30116)------------------------------
% 1.58/0.61  % (30109)Instruction limit reached!
% 1.58/0.61  % (30109)------------------------------
% 1.58/0.61  % (30109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.61  % (30109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.61  % (30109)Termination reason: Unknown
% 1.58/0.61  % (30109)Termination phase: Saturation
% 1.58/0.61  
% 1.58/0.61  % (30109)Memory used [KB]: 8443
% 1.58/0.61  % (30109)Time elapsed: 0.148 s
% 1.58/0.61  % (30109)Instructions burned: 82 (million)
% 1.58/0.61  % (30109)------------------------------
% 1.58/0.61  % (30109)------------------------------
% 1.58/0.61  % (30107)Instruction limit reached!
% 1.58/0.61  % (30107)------------------------------
% 1.58/0.61  % (30107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.61  % (30107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.61  % (30107)Termination reason: Unknown
% 1.58/0.61  % (30107)Termination phase: Function definition elimination
% 1.58/0.61  
% 1.58/0.61  % (30107)Memory used [KB]: 2814
% 1.58/0.61  % (30107)Time elapsed: 0.015 s
% 1.58/0.61  % (30107)Instructions burned: 30 (million)
% 1.58/0.61  % (30107)------------------------------
% 1.58/0.61  % (30107)------------------------------
% 1.58/0.62  % (30089)Instruction limit reached!
% 1.58/0.62  % (30089)------------------------------
% 1.58/0.62  % (30089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.62  % (30089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.62  % (30089)Termination reason: Unknown
% 1.58/0.62  % (30089)Termination phase: Saturation
% 1.58/0.62  
% 1.58/0.62  % (30089)Memory used [KB]: 7164
% 1.58/0.62  % (30089)Time elapsed: 0.171 s
% 1.58/0.62  % (30089)Instructions burned: 52 (million)
% 1.58/0.62  % (30089)------------------------------
% 1.58/0.62  % (30089)------------------------------
% 1.91/0.63  % (30096)Instruction limit reached!
% 1.91/0.63  % (30096)------------------------------
% 1.91/0.63  % (30096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.63  % (30096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.63  % (30096)Termination reason: Unknown
% 1.91/0.63  % (30096)Termination phase: Saturation
% 1.91/0.63  
% 1.91/0.63  % (30096)Memory used [KB]: 2942
% 1.91/0.63  % (30096)Time elapsed: 0.017 s
% 1.91/0.63  % (30096)Instructions burned: 36 (million)
% 1.91/0.63  % (30096)------------------------------
% 1.91/0.63  % (30096)------------------------------
% 1.91/0.64  % (30100)Instruction limit reached!
% 1.91/0.64  % (30100)------------------------------
% 1.91/0.64  % (30100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.64  % (30100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.64  % (30100)Termination reason: Unknown
% 1.91/0.64  % (30100)Termination phase: Saturation
% 1.91/0.64  
% 1.91/0.64  % (30100)Memory used [KB]: 7547
% 1.91/0.64  % (30100)Time elapsed: 0.221 s
% 1.91/0.64  % (30100)Instructions burned: 52 (million)
% 1.91/0.64  % (30100)------------------------------
% 1.91/0.64  % (30100)------------------------------
% 1.97/0.65  % (30095)Instruction limit reached!
% 1.97/0.65  % (30095)------------------------------
% 1.97/0.65  % (30095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.65  % (30095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.65  % (30095)Termination reason: Unknown
% 1.97/0.65  % (30095)Termination phase: Saturation
% 1.97/0.65  
% 1.97/0.65  % (30095)Memory used [KB]: 7547
% 1.97/0.65  % (30095)Time elapsed: 0.206 s
% 1.97/0.65  % (30095)Instructions burned: 50 (million)
% 1.97/0.65  % (30095)------------------------------
% 1.97/0.65  % (30095)------------------------------
% 1.97/0.65  % (30103)Instruction limit reached!
% 1.97/0.65  % (30103)------------------------------
% 1.97/0.65  % (30103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.65  % (30103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.65  % (30103)Termination reason: Unknown
% 1.97/0.65  % (30103)Termination phase: Saturation
% 1.97/0.65  
% 1.97/0.65  % (30103)Memory used [KB]: 3582
% 1.97/0.65  % (30103)Time elapsed: 0.024 s
% 1.97/0.65  % (30103)Instructions burned: 50 (million)
% 1.97/0.65  % (30103)------------------------------
% 1.97/0.65  % (30103)------------------------------
% 1.97/0.65  % (30117)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 (2998ds/92Mi)
% 1.97/0.66  % (30111)Instruction limit reached!
% 1.97/0.66  % (30111)------------------------------
% 1.97/0.66  % (30111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.66  % (30111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.66  % (30111)Termination reason: Unknown
% 1.97/0.66  % (30111)Termination phase: Equality proxy
% 1.97/0.66  
% 1.97/0.66  % (30111)Memory used [KB]: 3454
% 1.97/0.66  % (30111)Time elapsed: 0.025 s
% 1.97/0.66  % (30111)Instructions burned: 53 (million)
% 1.97/0.66  % (30111)------------------------------
% 1.97/0.66  % (30111)------------------------------
% 1.97/0.68  % (30117)Refutation not found, incomplete strategy% (30117)------------------------------
% 1.97/0.68  % (30117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.69  % (30121)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  % (30122)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/56Mi)
% 1.97/0.70  % (30117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.70  % (30117)Termination reason: Refutation not found, incomplete strategy
% 1.97/0.70  
% 1.97/0.70  % (30117)Memory used [KB]: 7036
% 1.97/0.70  % (30117)Time elapsed: 0.123 s
% 1.97/0.70  % (30117)Instructions burned: 19 (million)
% 1.97/0.70  % (30117)------------------------------
% 1.97/0.70  % (30117)------------------------------
% 1.97/0.70  % (30123)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)
% 1.97/0.70  % (30128)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)
% 1.97/0.70  % (30126)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  % (30119)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  % (30120)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 1.97/0.70  % (30108)Instruction limit reached!
% 1.97/0.70  % (30108)------------------------------
% 1.97/0.70  % (30108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.70  % (30108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.70  % (30108)Termination reason: Unknown
% 1.97/0.70  % (30108)Termination phase: Saturation
% 1.97/0.70  
% 1.97/0.70  % (30108)Memory used [KB]: 9594
% 1.97/0.70  % (30125)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 1.97/0.70  % (30108)Time elapsed: 0.254 s
% 1.97/0.70  % (30108)Instructions burned: 100 (million)
% 1.97/0.70  % (30108)------------------------------
% 1.97/0.70  % (30108)------------------------------
% 1.97/0.71  % (30127)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  % (30118)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 (2998ds/7Mi)
% 1.97/0.71  % (30131)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)
% 1.97/0.71  % (30118)Instruction limit reached!
% 1.97/0.71  % (30118)------------------------------
% 1.97/0.71  % (30118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.71  % (30118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.71  % (30118)Termination reason: Unknown
% 1.97/0.71  % (30118)Termination phase: Saturation
% 1.97/0.71  
% 1.97/0.71  % (30118)Memory used [KB]: 2174
% 1.97/0.71  % (30118)Time elapsed: 0.006 s
% 1.97/0.71  % (30118)Instructions burned: 9 (million)
% 1.97/0.71  % (30118)------------------------------
% 1.97/0.71  % (30118)------------------------------
% 1.97/0.71  % (30129)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)
% 1.97/0.72  % (30124)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.12/0.72  % (30112)Instruction limit reached!
% 2.12/0.72  % (30112)------------------------------
% 2.12/0.72  % (30112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.72  % (30113)Instruction limit reached!
% 2.12/0.72  % (30113)------------------------------
% 2.12/0.72  % (30113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.73  % (30132)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.12/0.73  % (30112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.73  % (30112)Termination reason: Unknown
% 2.12/0.73  % (30112)Termination phase: Saturation
% 2.12/0.73  
% 2.12/0.73  % (30112)Memory used [KB]: 8699
% 2.12/0.73  % (30112)Time elapsed: 0.048 s
% 2.12/0.73  % (30112)Instructions burned: 96 (million)
% 2.12/0.73  % (30112)------------------------------
% 2.12/0.73  % (30112)------------------------------
% 2.12/0.74  % (30130)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)
% 2.12/0.74  % (30133)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)
% 2.12/0.74  % (30113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.74  % (30113)Termination reason: Unknown
% 2.12/0.74  % (30113)Termination phase: Saturation
% 2.12/0.74  
% 2.12/0.74  % (30113)Memory used [KB]: 5500
% 2.12/0.74  % (30113)Time elapsed: 0.052 s
% 2.12/0.74  % (30113)Instructions burned: 100 (million)
% 2.12/0.74  % (30113)------------------------------
% 2.12/0.74  % (30113)------------------------------
% 2.12/0.75  % (30136)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)
% 2.12/0.75  % (30135)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)
% 2.12/0.75  % (30134)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)
% 2.12/0.75  % (30138)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)
% 2.12/0.75  % (30132)Instruction limit reached!
% 2.12/0.75  % (30132)------------------------------
% 2.12/0.75  % (30132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.75  % (30132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.75  % (30132)Termination reason: Unknown
% 2.12/0.75  % (30132)Termination phase: Preprocessing 3
% 2.12/0.75  
% 2.12/0.75  % (30132)Memory used [KB]: 2942
% 2.12/0.75  % (30132)Time elapsed: 0.009 s
% 2.12/0.75  % (30132)Instructions burned: 16 (million)
% 2.12/0.75  % (30132)------------------------------
% 2.12/0.75  % (30132)------------------------------
% 2.12/0.75  % (30125)Instruction limit reached!
% 2.12/0.75  % (30125)------------------------------
% 2.12/0.75  % (30125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.75  % (30125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.75  % (30125)Termination reason: Unknown
% 2.12/0.75  % (30125)Termination phase: Property scanning
% 2.12/0.75  
% 2.12/0.75  % (30125)Memory used [KB]: 3454
% 2.12/0.75  % (30125)Time elapsed: 0.017 s
% 2.12/0.75  % (30125)Instructions burned: 31 (million)
% 2.12/0.75  % (30125)------------------------------
% 2.12/0.75  % (30125)------------------------------
% 2.20/0.77  % (30124)Instruction limit reached!
% 2.20/0.77  % (30124)------------------------------
% 2.20/0.77  % (30124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.77  % (30124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.77  % (30124)Termination reason: Unknown
% 2.20/0.77  % (30124)Termination phase: Property scanning
% 2.20/0.77  
% 2.20/0.77  % (30124)Memory used [KB]: 3454
% 2.20/0.77  % (30124)Time elapsed: 0.020 s
% 2.20/0.77  % (30124)Instructions burned: 43 (million)
% 2.20/0.77  % (30124)------------------------------
% 2.20/0.77  % (30124)------------------------------
% 2.20/0.78  % (30139)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)
% 2.20/0.78  % (30122)Instruction limit reached!
% 2.20/0.78  % (30122)------------------------------
% 2.20/0.78  % (30122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.78  % (30120)Instruction limit reached!
% 2.20/0.78  % (30120)------------------------------
% 2.20/0.78  % (30120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.78  % (30120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.78  % (30120)Termination reason: Unknown
% 2.20/0.78  % (30120)Termination phase: Saturation
% 2.20/0.78  
% 2.20/0.78  % (30120)Memory used [KB]: 4093
% 2.20/0.78  % (30120)Time elapsed: 0.033 s
% 2.20/0.78  % (30120)Instructions burned: 69 (million)
% 2.20/0.78  % (30120)------------------------------
% 2.20/0.78  % (30120)------------------------------
% 2.20/0.78  % (30122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.78  % (30122)Termination reason: Unknown
% 2.20/0.78  % (30122)Termination phase: Saturation
% 2.20/0.78  
% 2.20/0.78  % (30122)Memory used [KB]: 7419
% 2.20/0.78  % (30122)Time elapsed: 0.182 s
% 2.20/0.78  % (30122)Instructions burned: 57 (million)
% 2.20/0.78  % (30122)------------------------------
% 2.20/0.78  % (30122)------------------------------
% 2.20/0.79  % (30137)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)
% 2.20/0.79  % (30141)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/21Mi)
% 2.20/0.79  % (30140)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)
% 2.20/0.80  % (30136)Instruction limit reached!
% 2.20/0.80  % (30136)------------------------------
% 2.20/0.80  % (30136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.80  % (30136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.80  % (30136)Termination reason: Unknown
% 2.20/0.80  % (30136)Termination phase: Preprocessing 3
% 2.20/0.80  
% 2.20/0.80  % (30136)Memory used [KB]: 3326
% 2.20/0.80  % (30136)Time elapsed: 0.013 s
% 2.20/0.80  % (30136)Instructions burned: 20 (million)
% 2.20/0.80  % (30136)------------------------------
% 2.20/0.80  % (30136)------------------------------
% 2.20/0.80  % (30142)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 (2997ds/97Mi)
% 2.20/0.80  % (30139)Instruction limit reached!
% 2.20/0.80  % (30139)------------------------------
% 2.20/0.80  % (30139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.80  % (30139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.80  % (30139)Termination reason: Unknown
% 2.20/0.80  % (30139)Termination phase: Property scanning
% 2.20/0.80  
% 2.20/0.80  % (30139)Memory used [KB]: 2174
% 2.20/0.80  % (30139)Time elapsed: 0.006 s
% 2.20/0.80  % (30139)Instructions burned: 10 (million)
% 2.20/0.80  % (30139)------------------------------
% 2.20/0.80  % (30139)------------------------------
% 2.20/0.81  % (30137)Refutation not found, incomplete strategy% (30137)------------------------------
% 2.20/0.81  % (30137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.81  % (30137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.81  % (30137)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.81  
% 2.20/0.81  % (30137)Memory used [KB]: 6780
% 2.20/0.81  % (30137)Time elapsed: 0.163 s
% 2.20/0.81  % (30137)Instructions burned: 11 (million)
% 2.20/0.81  % (30137)------------------------------
% 2.20/0.81  % (30137)------------------------------
% 2.20/0.81  % (30133)Instruction limit reached!
% 2.20/0.81  % (30133)------------------------------
% 2.20/0.81  % (30133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.81  % (30133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.81  % (30133)Termination reason: Unknown
% 2.20/0.81  % (30133)Termination phase: Property scanning
% 2.20/0.82  
% 2.20/0.82  % (30133)Memory used [KB]: 3454
% 2.20/0.82  % (30133)Time elapsed: 0.018 s
% 2.20/0.82  % (30133)Instructions burned: 32 (million)
% 2.20/0.82  % (30133)------------------------------
% 2.20/0.82  % (30133)------------------------------
% 2.20/0.82  % (30126)Instruction limit reached!
% 2.20/0.82  % (30126)------------------------------
% 2.20/0.82  % (30126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.83  % (30126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.83  % (30126)Termination reason: Unknown
% 2.20/0.83  % (30126)Termination phase: Saturation
% 2.20/0.83  
% 2.20/0.83  % (30126)Memory used [KB]: 8059
% 2.20/0.83  % (30126)Time elapsed: 0.220 s
% 2.20/0.83  % (30126)Instructions burned: 69 (million)
% 2.20/0.83  % (30126)------------------------------
% 2.20/0.83  % (30126)------------------------------
% 2.20/0.83  % (30141)Instruction limit reached!
% 2.20/0.83  % (30141)------------------------------
% 2.20/0.83  % (30141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.83  % (30141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.83  % (30141)Termination reason: Unknown
% 2.20/0.83  % (30141)Termination phase: Saturation
% 2.20/0.83  
% 2.20/0.83  % (30141)Memory used [KB]: 7036
% 2.20/0.83  % (30141)Time elapsed: 0.010 s
% 2.20/0.83  % (30141)Instructions burned: 21 (million)
% 2.20/0.83  % (30141)------------------------------
% 2.20/0.83  % (30141)------------------------------
% 2.20/0.84  % (30121)Instruction limit reached!
% 2.20/0.84  % (30121)------------------------------
% 2.20/0.84  % (30121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.84  % (30144)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)
% 2.20/0.84  % (30145)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)
% 2.20/0.84  % (30119)Instruction limit reached!
% 2.20/0.84  % (30119)------------------------------
% 2.20/0.84  % (30119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.84  % (30131)Instruction limit reached!
% 2.20/0.84  % (30131)------------------------------
% 2.20/0.84  % (30131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.84  % (30135)Instruction limit reached!
% 2.70/0.84  % (30135)------------------------------
% 2.70/0.84  % (30135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.84  % (30135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.84  % (30135)Termination reason: Unknown
% 2.70/0.84  % (30135)Termination phase: Saturation
% 2.70/0.84  
% 2.70/0.84  % (30135)Memory used [KB]: 7419
% 2.70/0.84  % (30135)Time elapsed: 0.205 s
% 2.70/0.84  % (30135)Instructions burned: 68 (million)
% 2.70/0.84  % (30135)------------------------------
% 2.70/0.84  % (30135)------------------------------
% 2.70/0.85  % (30119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.85  % (30119)Termination reason: Unknown
% 2.70/0.85  % (30119)Termination phase: Saturation
% 2.70/0.85  
% 2.70/0.85  % (30119)Memory used [KB]: 7419
% 2.70/0.85  % (30119)Time elapsed: 0.227 s
% 2.70/0.85  % (30119)Instructions burned: 87 (million)
% 2.70/0.85  % (30119)------------------------------
% 2.70/0.85  % (30119)------------------------------
% 2.70/0.85  % (30127)Instruction limit reached!
% 2.70/0.85  % (30127)------------------------------
% 2.70/0.85  % (30127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.85  % (30121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.85  % (30121)Termination reason: Unknown
% 2.70/0.85  % (30121)Termination phase: Saturation
% 2.70/0.85  
% 2.70/0.85  % (30121)Memory used [KB]: 4349
% 2.70/0.85  % (30121)Time elapsed: 0.248 s
% 2.70/0.85  % (30121)Instructions burned: 108 (million)
% 2.70/0.85  % (30121)------------------------------
% 2.70/0.85  % (30121)------------------------------
% 2.70/0.85  % (30127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.85  % (30127)Termination reason: Unknown
% 2.70/0.85  % (30127)Termination phase: Property scanning
% 2.70/0.85  
% 2.70/0.85  % (30127)Memory used [KB]: 3837
% 2.70/0.85  % (30127)Time elapsed: 0.039 s
% 2.70/0.85  % (30127)Instructions burned: 86 (million)
% 2.70/0.85  % (30127)------------------------------
% 2.70/0.85  % (30127)------------------------------
% 2.70/0.86  % (30148)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 (2995ds/23Mi)
% 2.70/0.86  % (30143)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)
% 2.70/0.86  % (30131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.86  % (30131)Termination reason: Unknown
% 2.70/0.86  % (30131)Termination phase: Saturation
% 2.70/0.86  
% 2.70/0.86  % (30131)Memory used [KB]: 8827
% 2.70/0.86  % (30131)Time elapsed: 0.157 s
% 2.70/0.86  % (30131)Instructions burned: 87 (million)
% 2.70/0.86  % (30131)------------------------------
% 2.70/0.86  % (30131)------------------------------
% 2.70/0.87  % (30147)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)
% 2.70/0.87  % (30146)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)
% 2.70/0.87  % (30129)Instruction limit reached!
% 2.70/0.87  % (30129)------------------------------
% 2.70/0.87  % (30129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.87  % (30129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.87  % (30129)Termination reason: Unknown
% 2.70/0.87  % (30129)Termination phase: Saturation
% 2.70/0.87  
% 2.70/0.87  % (30129)Memory used [KB]: 8571
% 2.70/0.87  % (30129)Time elapsed: 0.048 s
% 2.70/0.87  % (30129)Instructions burned: 93 (million)
% 2.70/0.87  % (30129)------------------------------
% 2.70/0.87  % (30129)------------------------------
% 3.17/0.88  % (30149)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)
% 3.17/0.89  % (30148)Instruction limit reached!
% 3.17/0.89  % (30148)------------------------------
% 3.17/0.89  % (30148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.17/0.89  % (30148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.17/0.89  % (30148)Termination reason: Unknown
% 3.17/0.89  % (30148)Termination phase: Property scanning
% 3.17/0.89  
% 3.17/0.89  % (30148)Memory used [KB]: 3454
% 3.17/0.89  % (30148)Time elapsed: 0.012 s
% 3.17/0.89  % (30148)Instructions burned: 25 (million)
% 3.17/0.89  % (30148)------------------------------
% 3.17/0.89  % (30148)------------------------------
% 3.17/0.89  % (30123)Instruction limit reached!
% 3.17/0.89  % (30123)------------------------------
% 3.17/0.89  % (30123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.17/0.89  % (30123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.17/0.89  % (30123)Termination reason: Unknown
% 3.17/0.89  % (30123)Termination phase: Saturation
% 3.17/0.89  
% 3.17/0.89  % (30123)Memory used [KB]: 7931
% 3.17/0.89  % (30123)Time elapsed: 0.268 s
% 3.17/0.89  % (30123)Instructions burned: 141 (million)
% 3.17/0.89  % (30123)------------------------------
% 3.17/0.89  % (30123)------------------------------
% 3.17/0.89  % (30143)Instruction limit reached!
% 3.17/0.89  % (30143)------------------------------
% 3.17/0.89  % (30143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.17/0.89  % (30143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.17/0.89  % (30143)Termination reason: Unknown
% 3.17/0.89  % (30143)Termination phase: Saturation
% 3.17/0.89  
% 3.17/0.89  % (30143)Memory used [KB]: 2558
% 3.17/0.89  % (30143)Time elapsed: 0.026 s
% 3.17/0.89  % (30143)Instructions burned: 22 (million)
% 3.17/0.89  % (30143)------------------------------
% 3.17/0.89  % (30143)------------------------------
% 3.17/0.89  % (30128)Instruction limit reached!
% 3.17/0.89  % (30128)------------------------------
% 3.17/0.89  % (30128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.17/0.89  % (30128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.17/0.89  % (30128)Termination reason: Unknown
% 3.17/0.89  % (30128)Termination phase: Saturation
% 3.17/0.89  
% 3.17/0.89  % (30128)Memory used [KB]: 8571
% 3.17/0.89  % (30128)Time elapsed: 0.221 s
% 3.17/0.89  % (30128)Instructions burned: 131 (million)
% 3.17/0.89  % (30128)------------------------------
% 3.17/0.89  % (30128)------------------------------
% 3.17/0.90  % (30151)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)
% 3.17/0.90  % (30150)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)
% 3.17/0.91  % (30152)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)
% 3.17/0.92  % (30153)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)
% 3.51/0.93  % (30130)Instruction limit reached!
% 3.51/0.93  % (30130)------------------------------
% 3.51/0.93  % (30130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.51/0.93  % (30130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.51/0.93  % (30130)Termination reason: Unknown
% 3.51/0.93  % (30130)Termination phase: Saturation
% 3.51/0.93  
% 3.51/0.93  % (30130)Memory used [KB]: 8187
% 3.51/0.93  % (30130)Time elapsed: 0.308 s
% 3.51/0.93  % (30130)Instructions burned: 109 (million)
% 3.51/0.93  % (30130)------------------------------
% 3.51/0.93  % (30130)------------------------------
% 3.51/0.94  % (30156)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)
% 3.51/0.94  % (30155)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)
% 3.51/0.95  % (30142)Instruction limit reached!
% 3.51/0.95  % (30142)------------------------------
% 3.51/0.95  % (30142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.51/0.95  % (30142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.51/0.95  % (30142)Termination reason: Unknown
% 3.51/0.95  % (30142)Termination phase: Saturation
% 3.51/0.95  
% 3.51/0.95  % (30142)Memory used [KB]: 8827
% 3.51/0.95  % (30142)Time elapsed: 0.243 s
% 3.51/0.95  % (30142)Instructions burned: 98 (million)
% 3.51/0.95  % (30142)------------------------------
% 3.51/0.95  % (30142)------------------------------
% 3.51/0.95  % (30154)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)
% 3.67/0.96  % (30157)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)
% 3.67/0.96  % (30157)Instruction limit reached!
% 3.67/0.96  % (30157)------------------------------
% 3.67/0.96  % (30157)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/0.96  % (30157)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/0.96  % (30157)Termination reason: Unknown
% 3.67/0.96  % (30157)Termination phase: Unused predicate definition removal
% 3.67/0.96  
% 3.67/0.96  % (30157)Memory used [KB]: 2430
% 3.67/0.96  % (30157)Time elapsed: 0.005 s
% 3.67/0.96  % (30157)Instructions burned: 8 (million)
% 3.67/0.96  % (30157)------------------------------
% 3.67/0.96  % (30157)------------------------------
% 3.67/0.97  % (30158)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)
% 3.67/0.97  % (30159)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)
% 3.67/0.98  % (30161)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  % (30162)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)
% 3.67/0.98  % (30160)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)
% 3.67/0.98  % (30134)Instruction limit reached!
% 3.67/0.98  % (30134)------------------------------
% 3.67/0.98  % (30134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/0.98  % (30134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/0.98  % (30134)Termination reason: Unknown
% 3.67/0.98  % (30134)Termination phase: Saturation
% 3.67/0.98  
% 3.67/0.98  % (30134)Memory used [KB]: 8699
% 3.67/0.98  % (30134)Time elapsed: 0.348 s
% 3.67/0.98  % (30134)Instructions burned: 149 (million)
% 3.67/0.98  % (30134)------------------------------
% 3.67/0.98  % (30134)------------------------------
% 3.67/1.00  % (30155)Instruction limit reached!
% 3.67/1.00  % (30155)------------------------------
% 3.67/1.00  % (30155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/1.00  % (30155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/1.00  % (30155)Termination reason: Unknown
% 3.67/1.00  % (30155)Termination phase: Function definition elimination
% 3.67/1.00  
% 3.67/1.00  % (30155)Memory used [KB]: 3454
% 3.67/1.00  % (30155)Time elapsed: 0.016 s
% 3.67/1.00  % (30155)Instructions burned: 35 (million)
% 3.67/1.00  % (30155)------------------------------
% 3.67/1.00  % (30155)------------------------------
% 3.67/1.00  % (30158)Refutation not found, incomplete strategy% (30158)------------------------------
% 3.67/1.00  % (30158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/1.00  % (30158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/1.00  % (30158)Termination reason: Refutation not found, incomplete strategy
% 3.67/1.00  
% 3.67/1.00  % (30158)Memory used [KB]: 7164
% 3.67/1.00  % (30158)Time elapsed: 0.135 s
% 3.67/1.00  % (30158)Instructions burned: 26 (million)
% 3.67/1.00  % (30158)------------------------------
% 3.67/1.00  % (30158)------------------------------
% 3.67/1.00  % (30163)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 (2994ds/753Mi)
% 3.67/1.00  % (30164)lrs+11_1:2_aac=none:acc=on:alpa=true:spb=units:i=288:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/288Mi)
% 3.67/1.00  % (30166)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  % (30159)Instruction limit reached!
% 3.67/1.00  % (30159)------------------------------
% 3.67/1.00  % (30159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/1.00  % (30159)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/1.00  % (30159)Termination reason: Unknown
% 3.67/1.00  % (30159)Termination phase: Property scanning
% 3.67/1.00  
% 3.67/1.00  % (30159)Memory used [KB]: 3198
% 3.67/1.00  % (30159)Time elapsed: 0.012 s
% 3.67/1.00  % (30159)Instructions burned: 26 (million)
% 3.67/1.00  % (30159)------------------------------
% 3.67/1.00  % (30159)------------------------------
% 3.67/1.01  % (30167)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)
% 3.67/1.01  % (30151)Instruction limit reached!
% 3.67/1.01  % (30151)------------------------------
% 3.67/1.01  % (30151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/1.01  % (30151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/1.01  % (30151)Termination reason: Unknown
% 3.67/1.01  % (30151)Termination phase: Saturation
% 3.67/1.01  
% 3.67/1.01  % (30151)Memory used [KB]: 8187
% 3.67/1.01  % (30151)Time elapsed: 0.192 s
% 3.67/1.01  % (30151)Instructions burned: 86 (million)
% 3.67/1.01  % (30151)------------------------------
% 3.67/1.01  % (30151)------------------------------
% 4.00/1.02  % (30165)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 (2994ds/1000Mi)
% 4.00/1.02  % (30152)Instruction limit reached!
% 4.00/1.02  % (30152)------------------------------
% 4.00/1.02  % (30152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.00/1.02  % (30152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.00/1.02  % (30152)Termination reason: Unknown
% 4.00/1.02  % (30152)Termination phase: Saturation
% 4.00/1.02  
% 4.00/1.02  % (30152)Memory used [KB]: 8187
% 4.00/1.02  % (30152)Time elapsed: 0.201 s
% 4.00/1.02  % (30152)Instructions burned: 80 (million)
% 4.00/1.02  % (30152)------------------------------
% 4.00/1.02  % (30152)------------------------------
% 4.00/1.02  % (30147)Instruction limit reached!
% 4.00/1.02  % (30147)------------------------------
% 4.00/1.02  % (30147)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.00/1.02  % (30147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.00/1.02  % (30147)Termination reason: Unknown
% 4.00/1.02  % (30147)Termination phase: Saturation
% 4.00/1.02  
% 4.00/1.02  % (30147)Memory used [KB]: 8571
% 4.00/1.02  % (30147)Time elapsed: 0.228 s
% 4.00/1.02  % (30147)Instructions burned: 94 (million)
% 4.00/1.02  % (30147)------------------------------
% 4.00/1.02  % (30147)------------------------------
% 4.00/1.04  % (30168)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)
% 4.00/1.05  % (30167)Instruction limit reached!
% 4.00/1.05  % (30167)------------------------------
% 4.00/1.05  % (30167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.00/1.05  % (30167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.00/1.05  % (30167)Termination reason: Unknown
% 4.00/1.05  % (30167)Termination phase: Property scanning
% 4.00/1.05  
% 4.00/1.05  % (30167)Memory used [KB]: 2814
% 4.00/1.05  % (30167)Time elapsed: 0.043 s
% 4.00/1.05  % (30167)Instructions burned: 36 (million)
% 4.00/1.05  % (30167)------------------------------
% 4.00/1.05  % (30167)------------------------------
% 4.00/1.06  % (30169)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)
% 4.00/1.07  % (30144)Instruction limit reached!
% 4.00/1.07  % (30144)------------------------------
% 4.00/1.07  % (30144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.00/1.07  % (30144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.00/1.07  % (30144)Termination reason: Unknown
% 4.00/1.07  % (30144)Termination phase: Saturation
% 4.00/1.07  
% 4.00/1.07  % (30144)Memory used [KB]: 9083
% 4.00/1.07  % (30144)Time elapsed: 0.348 s
% 4.00/1.07  % (30144)Instructions burned: 138 (million)
% 4.00/1.07  % (30144)------------------------------
% 4.00/1.07  % (30144)------------------------------
% 5.50/1.08  % (30170)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)
% 5.50/1.08  % (30138)Instruction limit reached!
% 5.50/1.08  % (30138)------------------------------
% 5.50/1.08  % (30138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.50/1.08  % (30138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.50/1.08  % (30138)Termination reason: Unknown
% 5.50/1.08  % (30138)Termination phase: Saturation
% 5.50/1.08  
% 5.50/1.08  % (30138)Memory used [KB]: 10618
% 5.50/1.08  % (30138)Time elapsed: 0.397 s
% 5.50/1.08  % (30138)Instructions burned: 237 (million)
% 5.50/1.08  % (30138)------------------------------
% 5.50/1.08  % (30138)------------------------------
% 5.50/1.10  % (30171)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 (2993ds/23Mi)
% 5.50/1.11  % (30156)Instruction limit reached!
% 5.50/1.11  % (30156)------------------------------
% 5.50/1.11  % (30156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.50/1.11  % (30156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.50/1.11  % (30156)Termination reason: Unknown
% 5.50/1.11  % (30156)Termination phase: Saturation
% 5.50/1.11  
% 5.50/1.11  % (30156)Memory used [KB]: 4093
% 5.50/1.11  % (30156)Time elapsed: 0.257 s
% 5.50/1.11  % (30156)Instructions burned: 113 (million)
% 5.50/1.11  % (30156)------------------------------
% 5.50/1.11  % (30156)------------------------------
% 5.50/1.11  % (30172)lrs+1011_1:1_aac=none:fs=off:fsr=off:i=136:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/136Mi)
% 5.50/1.12  % (30173)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 (2993ds/91Mi)
% 5.50/1.12  % (30154)Instruction limit reached!
% 5.50/1.12  % (30154)------------------------------
% 5.50/1.12  % (30154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.50/1.12  % (30154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.50/1.12  % (30154)Termination reason: Unknown
% 5.50/1.12  % (30154)Termination phase: Saturation
% 5.50/1.12  
% 5.50/1.12  % (30154)Memory used [KB]: 9083
% 5.50/1.12  % (30154)Time elapsed: 0.268 s
% 5.50/1.12  % (30154)Instructions burned: 119 (million)
% 5.50/1.12  % (30154)------------------------------
% 5.50/1.12  % (30154)------------------------------
% 5.50/1.13  % (30171)Instruction limit reached!
% 5.50/1.13  % (30171)------------------------------
% 5.50/1.13  % (30171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.50/1.13  % (30171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.50/1.13  % (30171)Termination reason: Unknown
% 5.50/1.13  % (30171)Termination phase: Property scanning
% 5.50/1.13  
% 5.50/1.13  % (30171)Memory used [KB]: 3454
% 5.50/1.13  % (30171)Time elapsed: 0.012 s
% 5.50/1.13  % (30171)Instructions burned: 24 (million)
% 5.50/1.13  % (30171)------------------------------
% 5.50/1.13  % (30171)------------------------------
% 5.50/1.13  % (30174)lrs+10_1:4_drc=off:sos=on:to=lpo:i=102:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/102Mi)
% 5.50/1.14  % (30170)Instruction limit reached!
% 5.50/1.14  % (30170)------------------------------
% 5.50/1.14  % (30170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.50/1.14  % (30170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.50/1.14  % (30170)Termination reason: Unknown
% 5.50/1.14  % (30170)Termination phase: Property scanning
% 5.50/1.14  
% 5.50/1.14  % (30170)Memory used [KB]: 3454
% 5.50/1.14  % (30170)Time elapsed: 0.020 s
% 5.50/1.14  % (30170)Instructions burned: 47 (million)
% 5.50/1.14  % (30170)------------------------------
% 5.50/1.14  % (30170)------------------------------
% 5.50/1.14  % (30175)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 (2993ds/234Mi)
% 5.50/1.15  % (30176)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)
% 6.13/1.17  % (30178)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)
% 6.13/1.17  % (30177)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)
% 6.13/1.17  % (30179)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)
% 6.13/1.18  % (30166)Instruction limit reached!
% 6.13/1.18  % (30166)------------------------------
% 6.13/1.18  % (30166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.13/1.18  % (30166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.13/1.18  % (30166)Termination reason: Unknown
% 6.13/1.18  % (30166)Termination phase: Saturation
% 6.13/1.18  
% 6.13/1.18  % (30166)Memory used [KB]: 8315
% 6.13/1.18  % (30166)Time elapsed: 0.199 s
% 6.13/1.18  % (30166)Instructions burned: 149 (million)
% 6.13/1.18  % (30166)------------------------------
% 6.13/1.18  % (30166)------------------------------
% 6.34/1.21  % (30180)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 (2992ds/126Mi)
% 6.34/1.22  % (30181)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 (2992ds/997Mi)
% 6.64/1.24  % (30149)Instruction limit reached!
% 6.64/1.24  % (30149)------------------------------
% 6.64/1.24  % (30149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.64/1.24  % (30149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.64/1.24  % (30149)Termination reason: Unknown
% 6.64/1.24  % (30149)Termination phase: Saturation
% 6.64/1.24  
% 6.64/1.24  % (30149)Memory used [KB]: 10234
% 6.64/1.24  % (30149)Time elapsed: 0.415 s
% 6.64/1.24  % (30149)Instructions burned: 221 (million)
% 6.64/1.24  % (30149)------------------------------
% 6.64/1.24  % (30149)------------------------------
% 6.64/1.25  % (30178)Instruction limit reached!
% 6.64/1.25  % (30178)------------------------------
% 6.64/1.25  % (30178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.64/1.25  % (30178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.64/1.25  % (30178)Termination reason: Unknown
% 6.64/1.25  % (30178)Termination phase: Saturation
% 6.64/1.25  
% 6.64/1.25  % (30178)Memory used [KB]: 3709
% 6.64/1.25  % (30178)Time elapsed: 0.200 s
% 6.64/1.25  % (30178)Instructions burned: 68 (million)
% 6.64/1.25  % (30178)------------------------------
% 6.64/1.25  % (30178)------------------------------
% 6.64/1.25  % (30182)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 (2992ds/139Mi)
% 6.64/1.25  % (30173)Instruction limit reached!
% 6.64/1.25  % (30173)------------------------------
% 6.64/1.25  % (30173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.64/1.25  % (30173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.64/1.25  % (30173)Termination reason: Unknown
% 6.64/1.25  % (30173)Termination phase: Saturation
% 6.64/1.25  
% 6.64/1.25  % (30173)Memory used [KB]: 8699
% 6.64/1.25  % (30173)Time elapsed: 0.041 s
% 6.64/1.25  % (30173)Instructions burned: 91 (million)
% 6.64/1.25  % (30173)------------------------------
% 6.64/1.25  % (30173)------------------------------
% 6.64/1.28  % (30185)lrs+1011_1:1_nwc=5.0:sd=4:ss=included:st=5.0:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/43Mi)
% 6.64/1.29  % (30184)lrs+2_1:1_lwlo=on:nwc=10.0:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/92Mi)
% 6.64/1.29  % (30150)Instruction limit reached!
% 6.64/1.29  % (30150)------------------------------
% 6.64/1.29  % (30150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.64/1.29  % (30150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.64/1.29  % (30150)Termination reason: Unknown
% 6.64/1.29  % (30150)Termination phase: Saturation
% 6.64/1.29  
% 6.64/1.29  % (30150)Memory used [KB]: 6140
% 6.64/1.29  % (30150)Time elapsed: 0.481 s
% 6.64/1.29  % (30150)Instructions burned: 223 (million)
% 6.64/1.29  % (30150)------------------------------
% 6.64/1.29  % (30150)------------------------------
% 6.64/1.30  % (30174)Instruction limit reached!
% 6.64/1.30  % (30174)------------------------------
% 6.64/1.30  % (30174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.64/1.30  % (30174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.64/1.30  % (30174)Termination reason: Unknown
% 6.64/1.30  % (30174)Termination phase: Saturation
% 6.64/1.30  
% 6.64/1.30  % (30174)Memory used [KB]: 9466
% 6.64/1.30  % (30174)Time elapsed: 0.242 s
% 6.64/1.30  % (30174)Instructions burned: 102 (million)
% 6.64/1.30  % (30174)------------------------------
% 6.64/1.30  % (30174)------------------------------
% 6.64/1.30  % (30183)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 (2992ds/121Mi)
% 6.64/1.30  % (30186)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/50Mi)
% 7.07/1.33  % (30172)Instruction limit reached!
% 7.07/1.33  % (30172)------------------------------
% 7.07/1.33  % (30172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.07/1.33  % (30172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.07/1.33  % (30172)Termination reason: Unknown
% 7.07/1.33  % (30172)Termination phase: Saturation
% 7.07/1.33  
% 7.07/1.33  % (30172)Memory used [KB]: 8955
% 7.07/1.33  % (30172)Time elapsed: 0.326 s
% 7.07/1.33  % (30172)Instructions burned: 137 (million)
% 7.07/1.33  % (30172)------------------------------
% 7.07/1.33  % (30172)------------------------------
% 7.07/1.33  % (30185)Instruction limit reached!
% 7.07/1.33  % (30185)------------------------------
% 7.07/1.33  % (30185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.07/1.33  % (30185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.07/1.33  % (30185)Termination reason: Unknown
% 7.07/1.33  % (30185)Termination phase: Property scanning
% 7.07/1.33  
% 7.07/1.33  % (30185)Memory used [KB]: 3454
% 7.07/1.33  % (30185)Time elapsed: 0.019 s
% 7.07/1.33  % (30185)Instructions burned: 44 (million)
% 7.07/1.33  % (30185)------------------------------
% 7.07/1.33  % (30185)------------------------------
% 7.07/1.34  % (30168)First to succeed.
% 7.07/1.35  % (30186)Instruction limit reached!
% 7.07/1.35  % (30186)------------------------------
% 7.07/1.35  % (30186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.07/1.35  % (30186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.07/1.35  % (30186)Termination reason: Unknown
% 7.07/1.35  % (30186)Termination phase: Equality proxy
% 7.07/1.35  
% 7.07/1.35  % (30186)Memory used [KB]: 3709
% 7.07/1.35  % (30186)Time elapsed: 0.056 s
% 7.07/1.35  % (30186)Instructions burned: 50 (million)
% 7.07/1.35  % (30186)------------------------------
% 7.07/1.35  % (30186)------------------------------
% 7.50/1.37  % (30168)Refutation found. Thanks to Tanya!
% 7.50/1.37  % SZS status Theorem for theBenchmark
% 7.50/1.37  % SZS output start Proof for theBenchmark
% See solution above
% 7.50/1.37  % (30168)------------------------------
% 7.50/1.37  % (30168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.50/1.37  % (30168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.50/1.37  % (30168)Termination reason: Refutation
% 7.50/1.37  
% 7.50/1.37  % (30168)Memory used [KB]: 4733
% 7.50/1.37  % (30168)Time elapsed: 0.407 s
% 7.50/1.37  % (30168)Instructions burned: 212 (million)
% 7.50/1.37  % (30168)------------------------------
% 7.50/1.37  % (30168)------------------------------
% 7.50/1.37  % (30085)Success in time 1.014 s
%------------------------------------------------------------------------------