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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SCT060-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:37:27 PM UTC 2026

% Result   : Unsatisfiable 145.02s 36.87s
% Output   : Refutation 145.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   79 (  12 unt;   6 def)
%            Number of atoms       :  318 (  81 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  370 ( 131   ~; 233   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   6 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :   10 (   8 usr;   7 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;  10 con; 0-6 aty)
%            Number of variables   :   89 (   0 sgn  89   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f624,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | X1 = X3
      | X0 = X4
      | X3 = X4
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_2_3) ).

fof(f625,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | X4 = X0
      | X3 = X1
      | X0 = X1
      | X3 = X4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_2_2) ).

fof(f626,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | X0 = X4
      | X1 = X3
      | X0 = X1
      | X3 = X4 ),
    inference(reorient_equations,[],[f625]) ).

fof(f627,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | X1 = X3
      | X0 = X4
      | X3 = X4
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_2_1) ).

fof(f628,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | X4 = X0
      | X3 = X1
      | X0 = X1
      | X3 = X4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_2_0) ).

fof(f629,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | X0 = X4
      | X1 = X3
      | X0 = X1
      | X3 = X4 ),
    inference(reorient_equations,[],[f628]) ).

fof(f634,axiom,
    v_a____ != v_b____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A_I1_J_0) ).

fof(f646,axiom,
    v_b____ != v_c____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A_I2_J_0) ).

fof(f649,axiom,
    ! [X2,X3,X0,X1,X4,X5] : hAPP(c_Fun_Ocomp(X0,X1,X2,X3,X4),X5) = hAPP(X0,hAPP(X1,X5)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_o__apply_0) ).

fof(f650,axiom,
    c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A_I5_J_0) ).

fof(f651,axiom,
    ! [X2,X0,X1] :
      ( ~ hBOOL(hAPP(X1,X0))
      | c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).

fof(f652,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(X1,X0,X2)
      | hBOOL(hAPP(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).

fof(f654,axiom,
    c_in(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cP_0) ).

fof(f655,negated_conjecture,
    ! [X0] :
      ( ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f656,negated_conjecture,
    ! [X0] :
      ( c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f657,negated_conjecture,
    ( ~ c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f658,negated_conjecture,
    ( c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f768,definition,
    ( spl0_1
  <=> c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f772,definition,
    ( spl0_2
  <=> c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f775,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f658,f772,f768]) ).

fof(f776,plain,
    ( ~ spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f657,f768,f772]) ).

fof(f872,plain,
    ! [X2,X0,X1] :
      ( c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__local__X2__1(X0,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),X1,v_b____,X2,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X0,v_sko__local__X2__1(X0,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),X1,v_b____,X2,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | v_b____ = X2
      | v_a____ = X1
      | v_a____ = v_b____
      | X1 = X2 ),
    inference(resolution,[],[f655,f629]) ).

fof(f873,plain,
    ! [X2,X0,X1] :
      ( c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__local__X2__1(X0,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),X1,v_b____,X2,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X0,v_sko__local__X2__1(X0,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),X1,v_b____,X2,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | v_b____ = X2
      | v_a____ = X1
      | v_a____ = v_b____
      | X1 = X2 ),
    inference(resolution,[],[f655,f627]) ).

fof(f880,plain,
    ! [X2,X0,X1] :
      ( c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__local__X2__1(X0,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),X1,v_b____,X2,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X0,v_sko__local__X2__1(X0,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),X1,v_b____,X2,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | v_b____ = X2
      | v_a____ = X1
      | X1 = X2 ),
    inference(global_subsumption,[],[f873,f634,f654]) ).

fof(f890,definition,
    ( spl0_5
  <=> ! [X2,X0,X1] :
        ( c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__local__X2__1(X0,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),X1,v_b____,X2,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | X1 = X2
        | v_a____ = X1
        | v_b____ = X2
        | ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
        | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X0,v_sko__local__X2__1(X0,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),X1,v_b____,X2,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f891,plain,
    ( ! [X2,X0,X1] :
        ( c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__local__X2__1(X0,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),X1,v_b____,X2,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X0,v_sko__local__X2__1(X0,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),X1,v_b____,X2,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | v_a____ = X1
        | v_b____ = X2
        | ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
        | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | X1 = X2 )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f892,plain,
    ( ~ spl0_2
    | spl0_5 ),
    inference(avatar_split_clause,[],[f880,f890,f772]) ).

fof(f907,plain,
    ! [X2,X0,X1] :
      ( c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__local__X2__1(X0,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),X1,v_b____,X2,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X0,v_sko__local__X2__1(X0,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),X1,v_b____,X2,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | v_b____ = X2
      | v_a____ = X1
      | X1 = X2 ),
    inference(global_subsumption,[],[f872,f634,f654]) ).

fof(f918,definition,
    ( spl0_9
  <=> ! [X2,X0,X1] :
        ( c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__local__X2__1(X0,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),X1,v_b____,X2,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | X1 = X2
        | v_a____ = X1
        | v_b____ = X2
        | ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
        | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X0,v_sko__local__X2__1(X0,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),X1,v_b____,X2,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f919,plain,
    ( ! [X2,X0,X1] :
        ( c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__local__X2__1(X0,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),X1,v_b____,X2,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X0,v_sko__local__X2__1(X0,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),X1,v_b____,X2,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | v_a____ = X1
        | v_b____ = X2
        | ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
        | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
        | X1 = X2 )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f920,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_split_clause,[],[f907,f918,f772]) ).

fof(f943,plain,
    ( c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__local__X2__1(v_P_H____,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_b____,v_b____,v_c____,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a____ = v_b____
    | v_b____ = v_c____
    | ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_b____ = v_c____
    | ~ spl0_5 ),
    inference(factoring,[],[f891]) ).

fof(f944,plain,
    ( c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__local__X2__1(v_P_H____,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_b____,v_b____,v_c____,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a____ = v_b____
    | v_b____ = v_c____
    | ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_5 ),
    inference(duplicate_literal_removal,[],[f943]) ).

fof(f979,plain,
    ( c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__local__X2__1(v_P_H____,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_b____,v_b____,v_c____,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a____ = v_b____
    | v_b____ = v_c____
    | ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | ~ c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_b____ = v_c____
    | ~ spl0_9 ),
    inference(factoring,[],[f919]) ).

fof(f980,plain,
    ( c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__local__X2__1(v_P_H____,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_b____,v_b____,v_c____,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a____ = v_b____
    | v_b____ = v_c____
    | ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | ~ c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_9 ),
    inference(duplicate_literal_removal,[],[f979]) ).

fof(f984,plain,
    ( c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__local__X2__1(v_P_H____,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_b____,v_b____,v_c____,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f980,f634,f646,f650]) ).

fof(f986,definition,
    ( spl0_14
  <=> c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__local__X2__1(v_P_H____,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_b____,v_b____,v_c____,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f988,plain,
    ( c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__local__X2__1(v_P_H____,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_b____,v_b____,v_c____,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f989,plain,
    ( ~ spl0_1
    | spl0_14
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f984,f918,f986,f768]) ).

fof(f1012,plain,
    ( ~ c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_sko__local__X2__1(v_P_H____,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_b____,v_b____,v_c____,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | v_b____ = v_c____
    | v_a____ = v_b____
    | v_a____ = v_b____
    | v_b____ = v_c____
    | ~ spl0_14 ),
    inference(resolution,[],[f988,f626]) ).

fof(f1013,plain,
    ( ~ c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_sko__local__X2__1(v_P_H____,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_b____,v_b____,v_c____,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | v_b____ = v_c____
    | v_a____ = v_b____
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f1012]) ).

fof(f1014,plain,
    ( ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__local__X2__1(v_P_H____,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_b____,v_b____,v_c____,v_a____))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | v_b____ = v_c____
    | v_a____ = v_b____
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1013,f649]) ).

fof(f1015,plain,
    ( ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__local__X2__1(v_P_H____,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_b____,v_b____,v_c____,v_a____))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1014,f634,f646,f650,f654,f658]) ).

fof(f1017,definition,
    ( spl0_17
  <=> c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__local__X2__1(v_P_H____,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_b____,v_b____,v_c____,v_a____))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f1018,plain,
    ( c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__local__X2__1(v_P_H____,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_b____,v_b____,v_c____,v_a____))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f1017]) ).

fof(f1019,plain,
    ( ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__local__X2__1(v_P_H____,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_b____,v_b____,v_c____,v_a____))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | spl0_17 ),
    inference(avatar_component_clause,[],[f1017]) ).

fof(f1020,plain,
    ( spl0_2
    | ~ spl0_17
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1015,f986,f1017,f772]) ).

fof(f1165,plain,
    ! [X0] :
      ( hBOOL(hAPP(hAPP(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),X0),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
      | ~ c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    inference(resolution,[],[f652,f656]) ).

fof(f1167,plain,
    ! [X0] :
      ( hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X0)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
      | ~ c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    inference(forward_demodulation,[],[f1165,f649]) ).

fof(f1267,plain,
    ! [X0,X1] :
      ( c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X0)),X1)
      | ~ c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    inference(resolution,[],[f1167,f651]) ).

fof(f1302,plain,
    ( ~ c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__local__X2__1(v_P_H____,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_b____,v_b____,v_c____,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | spl0_17 ),
    inference(resolution,[],[f1267,f1019]) ).

fof(f1304,plain,
    ( ~ spl0_14
    | spl0_17 ),
    inference(avatar_split_clause,[],[f1302,f1017,f986]) ).

fof(f1315,plain,
    ( c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__local__X2__1(v_P_H____,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_b____,v_b____,v_c____,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f944,f634,f646,f650]) ).

fof(f1338,plain,
    ( spl0_1
    | spl0_14
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1315,f890,f986,f768]) ).

fof(f2114,plain,
    ( hBOOL(hAPP(hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__local__X2__1(v_P_H____,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_b____,v_b____,v_c____,v_a____))),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ spl0_17 ),
    inference(resolution,[],[f1018,f652]) ).

fof(f2143,plain,
    ( ! [X0] : c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__local__X2__1(v_P_H____,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_b____,v_b____,v_c____,v_a____))),X0)
    | ~ spl0_17 ),
    inference(resolution,[],[f2114,f651]) ).

fof(f12437,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ c_in(c_Pair(X7,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X0,hAPP(X1,v_sko__local__X2__1(X2,c_Fun_Ocomp(X0,X1,X3,X4,X5),X6,X7,X8,X9))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Pair(X7,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(X0,X1,X3,X4,X5)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | c_in(c_Pair(X6,X8,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Pair(X6,X8,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X2,c_Fun_Ocomp(X0,X1,X3,X4,X5),X6,X7,X8,X9)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
      | ~ c_in(c_Fun_Ocomp(X0,X1,X3,X4,X5),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
      | X7 = X8
      | X6 = X9
      | X7 = X9
      | X6 = X8 ),
    inference(superposition,[],[f624,f649]) ).

fof(f12574,plain,
    ( ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__local__X2__1(v_P_H____,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_b____,v_b____,v_c____,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | v_b____ = v_c____
    | v_a____ = v_b____
    | v_a____ = v_b____
    | v_b____ = v_c____
    | ~ spl0_17 ),
    inference(resolution,[],[f12437,f2143]) ).

fof(f12586,plain,
    ( ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__local__X2__1(v_P_H____,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_b____,v_b____,v_c____,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
    | v_b____ = v_c____
    | v_a____ = v_b____
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f12574]) ).

fof(f12594,plain,
    ( c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__local__X2__1(v_P_H____,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),v_b____,v_b____,v_c____,v_a____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_17 ),
    inference(global_subsumption,[],[f12586,f634,f646,f650,f654,f658]) ).

fof(f12596,plain,
    ( ~ spl0_14
    | spl0_1
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f12594,f1017,f768,f986]) ).

cnf(s22,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s24,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s549,plain,
    ( ~ spl0_2
    | spl0_5 ),
    inference(sat_conversion,[],[f892]) ).

cnf(s567,plain,
    ( spl0_2
    | spl0_9 ),
    inference(sat_conversion,[],[f920]) ).

cnf(s591,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_14 ),
    inference(sat_conversion,[],[f989]) ).

cnf(s603,plain,
    ( spl0_2
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f1020]) ).

cnf(s722,plain,
    ( ~ spl0_14
    | spl0_17 ),
    inference(sat_conversion,[],[f1304]) ).

cnf(s757,plain,
    ( spl0_1
    | ~ spl0_5
    | spl0_14 ),
    inference(sat_conversion,[],[f1338]) ).

cnf(s3848,plain,
    ( spl0_1
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f12596]) ).

cnf(s3850,plain,
    ( ~ spl0_14
    | spl0_1 ),
    inference(rat,[],[s722,s3848]) ).

cnf(s3851,plain,
    ( ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s3850,s757]) ).

cnf(s3852,plain,
    spl0_1,
    inference(rat,[],[s3851,s549,s22]) ).

cnf(s3853,plain,
    ~ spl0_2,
    inference(rat,[],[s24,s3852]) ).

cnf(s3857,plain,
    spl0_9,
    inference(rat,[],[s567,s3853]) ).

cnf(s3860,plain,
    spl0_14,
    inference(rat,[],[s591,s3852,s3857]) ).

cnf(s3864,plain,
    spl0_17,
    inference(rat,[],[s722,s3860]) ).

cnf(s3865,plain,
    $false,
    inference(rat,[],[s603,s3853,s3864,s3860]) ).

fof(f12597,plain,
    $false,
    inference(avatar_sat_refutation,[],[s3865]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SCT060-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37  % Computer : n020.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 23:37:20 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41  Running first-order model finding
% 0.11/0.41  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.99/1.84  % (3885337)Will run a generic schedule for satisfiability detection.
% 7.99/1.84  % (3885347)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3263428565:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.99/1.84  % (3885343)% WARNING: option uhcvi not known.
% 7.99/1.84  % (3885342)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3306407877_2999 on theBenchmark for (2999ds/0Mi)
% 7.99/1.84  % (3885346)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3355472503:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.99/1.84  % (3885343)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2398393827:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.99/1.84  % (3885344)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1055934743:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.99/1.84  % (3885345)dis+10_1_sil=32000:sp=arity:random_seed=1865076728:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.99/1.84  % (3885348)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2125611770:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.99/1.84  % (3885347)Instruction limit reached! 
% 7.99/1.84  % (3885347)------------------------------
% 7.99/1.84  % (3885347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.84  % (3885347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.84  % (3885347)CaDiCaL version: 2.1.3
% 7.99/1.84  % (3885347)Termination reason: Instruction limit
% 7.99/1.84  % (3885347)Termination phase: Saturation
% 7.99/1.84  % (3885347)Time elapsed: 0.045 s
% 7.99/1.84  % (3885347)Peak memory usage: 13 MB
% 7.99/1.84  % (3885347)Instructions burned: 133 (million)
% 7.99/1.84  % (3885356)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4011401448:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.99/1.84  % (3885345)Instruction limit reached! 
% 7.99/1.84  % (3885345)------------------------------
% 7.99/1.84  % (3885345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.84  % (3885345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.84  % (3885345)CaDiCaL version: 2.1.3
% 7.99/1.84  % (3885345)Termination reason: Instruction limit
% 7.99/1.84  % (3885345)Termination phase: Saturation
% 7.99/1.84  % (3885345)Time elapsed: 0.064 s
% 7.99/1.84  % (3885345)Peak memory usage: 13 MB
% 7.99/1.84  % (3885345)Instructions burned: 104 (million)
% 7.99/1.84  % (3885346)Instruction limit reached! 
% 7.99/1.84  % (3885346)------------------------------
% 7.99/1.84  % (3885346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.84  % (3885346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.84  % (3885346)CaDiCaL version: 2.1.3
% 7.99/1.84  % (3885346)Termination reason: Instruction limit
% 7.99/1.84  % (3885346)Termination phase: Saturation
% 7.99/1.84  % (3885346)Time elapsed: 0.071 s
% 7.99/1.84  % (3885346)Peak memory usage: 13 MB
% 7.99/1.84  % (3885346)Instructions burned: 117 (million)
% 7.99/1.84  % (3885358)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1548066789:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.99/1.84  % (3885359)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2577720164:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.99/1.84  % (3885348)Instruction limit reached! 
% 7.99/1.84  % (3885348)------------------------------
% 7.99/1.84  % (3885348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.84  % (3885348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.84  % (3885348)CaDiCaL version: 2.1.3
% 7.99/1.84  % (3885348)Termination reason: Instruction limit
% 7.99/1.84  % (3885348)Termination phase: Saturation
% 7.99/1.84  % (3885348)Time elapsed: 0.094 s
% 7.99/1.84  % (3885348)Peak memory usage: 14 MB
% 7.99/1.84  % (3885348)Instructions burned: 159 (million)
% 7.99/1.84  % (3885362)ott-21_1_sil=16000:fs=off:random_seed=3872895846:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.99/1.84  % Detected minimum model sizes of [3]
% 7.99/1.84  % Detected maximum model sizes of [max]
% 7.99/1.84  % TRYING [3]
% 7.99/1.84  % (3885358)Instruction limit reached! 
% 7.99/1.84  % (3885358)------------------------------
% 7.99/1.84  % (3885358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.84  % (3885358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.76/4.58  % (3885358)CaDiCaL version: 2.1.3
% 28.76/4.58  % (3885358)Termination reason: Instruction limit
% 28.76/4.58  % (3885358)Termination phase: Saturation
% 28.76/4.58  % (3885358)Time elapsed: 0.076 s
% 28.76/4.58  % (3885358)Peak memory usage: 14 MB
% 28.76/4.58  % (3885358)Instructions burned: 132 (million)
% 28.76/4.58  % Detected minimum model sizes of [3]
% 28.76/4.58  % Detected maximum model sizes of [max]
% 28.76/4.58  % TRYING [3]
% 28.76/4.58  % (3885364)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2841518691:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 28.76/4.58  % (3885356)Instruction limit reached! 
% 28.76/4.58  % (3885356)------------------------------
% 28.76/4.58  % (3885356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.76/4.58  % (3885356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.76/4.58  % (3885356)CaDiCaL version: 2.1.3
% 28.76/4.58  % (3885356)Termination reason: Instruction limit
% 28.76/4.58  % (3885356)Termination phase: Finite model building constraint generation
% 28.76/4.58  % (3885356)Time elapsed: 0.156 s
% 28.76/4.58  % (3885356)Peak memory usage: 31 MB
% 28.76/4.58  % (3885356)Instructions burned: 716 (million)
% 28.76/4.58  % (3885362)Instruction limit reached! 
% 28.76/4.58  % (3885362)------------------------------
% 28.76/4.58  % (3885362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.76/4.58  % (3885362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.76/4.58  % (3885362)CaDiCaL version: 2.1.3
% 28.76/4.58  % (3885362)Termination reason: Instruction limit
% 28.76/4.58  % (3885362)Termination phase: Saturation
% 28.76/4.58  % (3885362)Time elapsed: 0.095 s
% 28.76/4.58  % (3885362)Peak memory usage: 13 MB
% 28.76/4.58  % (3885362)Instructions burned: 181 (million)
% 28.76/4.58  % (3885366)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2478026768:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 28.76/4.58  % (3885367)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=924031744:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 28.76/4.58  % Detected minimum model sizes of [3]
% 28.76/4.58  % Detected maximum model sizes of [max]
% 28.76/4.58  % TRYING [3]
% 28.76/4.58  % (3885366)Instruction limit reached! 
% 28.76/4.58  % (3885366)------------------------------
% 28.76/4.58  % (3885366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.76/4.58  % (3885366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.76/4.58  % (3885366)CaDiCaL version: 2.1.3
% 28.76/4.58  % (3885366)Termination reason: Instruction limit
% 28.76/4.58  % (3885366)Termination phase: Finite model building constraint generation
% 28.76/4.58  % (3885366)Time elapsed: 0.207 s
% 28.76/4.58  % (3885366)Peak memory usage: 58 MB
% 28.76/4.58  % (3885366)Instructions burned: 865 (million)
% 28.76/4.58  % (3885370)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3754427682:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 28.76/4.58  % (3885359)Instruction limit reached! 
% 28.76/4.58  % (3885359)------------------------------
% 28.76/4.58  % (3885359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.76/4.58  % (3885359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.76/4.58  % (3885359)CaDiCaL version: 2.1.3
% 28.76/4.58  % (3885359)Termination reason: Instruction limit
% 28.76/4.58  % (3885359)Termination phase: Saturation
% 28.76/4.58  % (3885359)Time elapsed: 0.374 s
% 28.76/4.58  % (3885359)Peak memory usage: 17 MB
% 28.76/4.58  % (3885359)Instructions burned: 685 (million)
% 28.76/4.58  % (3885364)Instruction limit reached! 
% 28.76/4.58  % (3885364)------------------------------
% 28.76/4.58  % (3885364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.76/4.58  % (3885364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.76/4.58  % (3885364)CaDiCaL version: 2.1.3
% 28.76/4.58  % (3885364)Termination reason: Instruction limit
% 28.76/4.58  % (3885364)Termination phase: Saturation
% 28.76/4.58  % (3885364)Time elapsed: 0.301 s
% 28.76/4.58  % (3885364)Peak memory usage: 14 MB
% 28.76/4.58  % (3885364)Instructions burned: 478 (million)
% 28.76/4.58  % (3885372)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2105108171:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 28.76/4.58  % (3885373)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2803701646:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 57.86/8.65  % (3885370)Cannot represent all propositional literals internally
% 57.86/8.65  % (3885370)Refutation not found, incomplete strategy
% 57.86/8.65  % (3885370)------------------------------
% 57.86/8.65  % (3885370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.86/8.65  % (3885370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.86/8.65  % (3885370)CaDiCaL version: 2.1.3
% 57.86/8.65  % (3885370)Termination reason: Refutation not found, incomplete strategy
% 57.86/8.65  % (3885370)Time elapsed: 0.092 s
% 57.86/8.65  % (3885370)Peak memory usage: 16 MB
% 57.86/8.65  % (3885370)Instructions burned: 352 (million)
% 57.86/8.65  % (3885370)------------------------------
% 57.86/8.65  % (3885370)------------------------------
% 57.86/8.65  % (3885376)fmb+10_1_sil=64000:random_seed=1106918524:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 57.86/8.65  % Detected minimum model sizes of [3]
% 57.86/8.65  % Detected maximum model sizes of [max]
% 57.86/8.65  % TRYING [3]
% 57.86/8.65  % (3885372)Instruction limit reached! 
% 57.86/8.65  % (3885372)------------------------------
% 57.86/8.65  % (3885372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.86/8.65  % (3885372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.86/8.65  % (3885372)CaDiCaL version: 2.1.3
% 57.86/8.65  % (3885372)Termination reason: Instruction limit
% 57.86/8.65  % (3885372)Termination phase: Saturation
% 57.86/8.65  % (3885372)Time elapsed: 0.463 s
% 57.86/8.65  % (3885372)Peak memory usage: 19 MB
% 57.86/8.65  % (3885372)Instructions burned: 693 (million)
% 57.86/8.65  % (3885378)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3378703117:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 57.86/8.65  % (3885367)Instruction limit reached! 
% 57.86/8.65  % (3885367)------------------------------
% 57.86/8.65  % (3885367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.86/8.65  % (3885367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.86/8.65  % (3885367)CaDiCaL version: 2.1.3
% 57.86/8.65  % (3885367)Termination reason: Instruction limit
% 57.86/8.65  % (3885367)Termination phase: Saturation
% 57.86/8.65  % (3885367)Time elapsed: 0.748 s
% 57.86/8.65  % (3885367)Peak memory usage: 23 MB
% 57.86/8.65  % (3885367)Instructions burned: 1179 (million)
% 57.86/8.65  % (3885373)Instruction limit reached! 
% 57.86/8.65  % (3885373)------------------------------
% 57.86/8.65  % (3885373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.86/8.65  % (3885373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.86/8.65  % (3885373)CaDiCaL version: 2.1.3
% 57.86/8.65  % (3885373)Termination reason: Instruction limit
% 57.86/8.65  % (3885373)Termination phase: Saturation
% 57.86/8.65  % (3885373)Time elapsed: 0.475 s
% 57.86/8.65  % (3885373)Peak memory usage: 18 MB
% 57.86/8.65  % (3885373)Instructions burned: 879 (million)
% 57.86/8.65  % (3885380)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2970846983:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 57.86/8.65  % (3885381)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2458631818:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 57.86/8.65  % Detected minimum model sizes of [3]
% 57.86/8.65  % Detected maximum model sizes of [max]
% 57.86/8.65  % (3885378)Cannot represent all propositional literals internally
% 57.86/8.65  % (3885378)Refutation not found, incomplete strategy
% 57.86/8.65  % (3885378)------------------------------
% 57.86/8.65  % (3885378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.86/8.65  % (3885378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.86/8.65  % (3885378)CaDiCaL version: 2.1.3
% 57.86/8.65  % (3885378)Termination reason: Refutation not found, incomplete strategy
% 57.86/8.65  % (3885378)Time elapsed: 0.174 s
% 57.86/8.65  % (3885378)Peak memory usage: 16 MB
% 57.86/8.65  % (3885378)Instructions burned: 351 (million)
% 57.86/8.65  % (3885378)------------------------------
% 57.86/8.65  % (3885378)------------------------------
% 57.86/8.65  % (3885384)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2841139292:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 57.86/8.65  % Detected minimum model sizes of [3]
% 57.86/8.65  % Detected maximum model sizes of [max]
% 57.86/8.65  % TRYING [8]
% 57.86/8.65  % (3885380)Instruction limit reached! 
% 57.86/8.65  % (3885380)------------------------------
% 57.86/8.65  % (3885380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.86/8.65  % (3885380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.26/16.14  % (3885380)CaDiCaL version: 2.1.3
% 111.26/16.14  % (3885380)Termination reason: Instruction limit
% 111.26/16.14  % (3885380)Termination phase: Finite model building constraint generation
% 111.26/16.14  % (3885380)Time elapsed: 0.368 s
% 111.26/16.14  % (3885380)Peak memory usage: 50 MB
% 111.26/16.14  % (3885380)Instructions burned: 922 (million)
% 111.26/16.14  % (3885386)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=325268292:i=6324_2985 on theBenchmark for (2985ds/6324Mi)
% 111.26/16.14  % TRYING [4]
% 111.26/16.14  % Detected minimum model sizes of [3]
% 111.26/16.14  % Detected maximum model sizes of [max]
% 111.26/16.14  % (3885386)Cannot represent all propositional literals internally
% 111.26/16.14  % (3885386)Refutation not found, incomplete strategy
% 111.26/16.14  % (3885386)------------------------------
% 111.26/16.14  % (3885386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.26/16.14  % (3885386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.26/16.14  % (3885386)CaDiCaL version: 2.1.3
% 111.26/16.14  % (3885386)Termination reason: Refutation not found, incomplete strategy
% 111.26/16.14  % (3885386)Time elapsed: 0.180 s
% 111.26/16.14  % (3885386)Peak memory usage: 17 MB
% 111.26/16.14  % (3885386)Instructions burned: 361 (million)
% 111.26/16.14  % (3885386)------------------------------
% 111.26/16.14  % (3885386)------------------------------
% 111.26/16.14  % (3885388)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1466895132:fmbsr=2.30978:i=2174_2983 on theBenchmark for (2983ds/2174Mi)
% 111.26/16.14  % (3885384)Instruction limit reached! 
% 111.26/16.14  % (3885384)------------------------------
% 111.26/16.14  % (3885384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.26/16.14  % (3885384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.26/16.14  % (3885384)CaDiCaL version: 2.1.3
% 111.26/16.14  % (3885384)Termination reason: Instruction limit
% 111.26/16.14  % (3885384)Termination phase: Saturation
% 111.26/16.14  % (3885384)Time elapsed: 0.848 s
% 111.26/16.14  % (3885384)Peak memory usage: 30 MB
% 111.26/16.14  % (3885384)Instructions burned: 1473 (million)
% 111.26/16.14  % (3885390)ott-2_1_sil=16000:newcnf=on:random_seed=1767379676:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2979 on theBenchmark for (2979ds/869Mi)
% 111.26/16.14  % Detected minimum model sizes of [3]
% 111.26/16.14  % Detected maximum model sizes of [max]
% 111.26/16.14  % (3885388)Cannot represent all propositional literals internally
% 111.26/16.14  % (3885388)Refutation not found, incomplete strategy
% 111.26/16.14  % (3885388)------------------------------
% 111.26/16.14  % (3885388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.26/16.14  % (3885388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.26/16.14  % (3885388)CaDiCaL version: 2.1.3
% 111.26/16.14  % (3885388)Termination reason: Refutation not found, incomplete strategy
% 111.26/16.14  % (3885388)Time elapsed: 0.932 s
% 111.26/16.14  % (3885388)Peak memory usage: 30 MB
% 111.26/16.14  % (3885388)Instructions burned: 1900 (million)
% 111.26/16.14  % (3885388)------------------------------
% 111.26/16.14  % (3885388)------------------------------
% 111.26/16.14  % (3885390)Instruction limit reached! 
% 111.26/16.14  % (3885390)------------------------------
% 111.26/16.14  % (3885390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.26/16.14  % (3885390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.26/16.14  % (3885390)CaDiCaL version: 2.1.3
% 111.26/16.14  % (3885390)Termination reason: Instruction limit
% 111.26/16.14  % (3885390)Termination phase: Saturation
% 111.26/16.14  % (3885390)Time elapsed: 0.515 s
% 111.26/16.14  % (3885390)Peak memory usage: 17 MB
% 111.26/16.14  % (3885390)Instructions burned: 869 (million)
% 111.26/16.14  % (3885392)ott+10_1_sil=32000:tgt=ground:random_seed=1977604124:i=5114:av=off_2974 on theBenchmark for (2974ds/5114Mi)
% 111.26/16.14  % (3885394)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=68602072:i=54282_2973 on theBenchmark for (2973ds/54282Mi)
% 111.26/16.14  % Detected minimum model sizes of [3]
% 111.26/16.14  % Detected maximum model sizes of [max]
% 111.26/16.14  % TRYING [3]
% 111.26/16.14  % TRYING [4]
% 111.26/16.14  % TRYING [4]
% 111.26/16.14  % (3885381)Instruction limit reached! 
% 111.26/16.14  % (3885381)------------------------------
% 111.26/16.14  % (3885381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.26/16.14  % (3885381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.26/16.14  % (3885381)CaDiCaL version: 2.1.3
% 111.26/16.14  % (3885381)Termination reason: Instruction limit
% 111.26/16.14  % (3885381)Termination phase: Saturation
% 111.26/16.14  % (3885381)Time elapsed: 3.100 s
% 227.36/32.53  % (3885381)Peak memory usage: 41 MB
% 227.36/32.53  % (3885381)Instructions burned: 5131 (million)
% 227.36/32.53  % (3885396)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3399880946:i=3512:aac=none_2958 on theBenchmark for (2958ds/3512Mi)
% 227.36/32.53  % (3885392)Instruction limit reached! 
% 227.36/32.53  % (3885392)------------------------------
% 227.36/32.53  % (3885392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 227.36/32.53  % (3885392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 227.36/32.53  % (3885392)CaDiCaL version: 2.1.3
% 227.36/32.53  % (3885392)Termination reason: Instruction limit
% 227.36/32.53  % (3885392)Termination phase: Saturation
% 227.36/32.53  % (3885392)Time elapsed: 3.194 s
% 227.36/32.53  % (3885392)Peak memory usage: 38 MB
% 227.36/32.53  % (3885392)Instructions burned: 5114 (million)
% 227.36/32.53  % (3885398)dis+21_1_sil=32000:sas=cadical:random_seed=2585455775:i=3773:amm=off_2941 on theBenchmark for (2941ds/3773Mi)
% 227.36/32.53  % (3885376)Instruction limit reached! 
% 227.36/32.53  % (3885376)------------------------------
% 227.36/32.53  % (3885376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 227.36/32.53  % (3885376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 227.36/32.53  % (3885376)CaDiCaL version: 2.1.3
% 227.36/32.53  % (3885376)Termination reason: Instruction limit
% 227.36/32.53  % (3885376)Termination phase: Finite model building constraint generation
% 227.36/32.53  % (3885376)Time elapsed: 5.509 s
% 227.36/32.53  % (3885376)Peak memory usage: 714 MB
% 227.36/32.53  % (3885376)Instructions burned: 22065 (million)
% 227.36/32.53  % (3885400)ott+11_1_sil=16000:gs=on:random_seed=2288746856:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2938 on theBenchmark for (2938ds/2251Mi)
% 227.36/32.53  % (3885396)Instruction limit reached! 
% 227.36/32.53  % (3885396)------------------------------
% 227.36/32.53  % (3885396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 227.36/32.53  % (3885396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 227.36/32.53  % (3885396)CaDiCaL version: 2.1.3
% 227.36/32.53  % (3885396)Termination reason: Instruction limit
% 227.36/32.53  % (3885396)Termination phase: Saturation
% 227.36/32.53  % (3885396)Time elapsed: 2.119 s
% 227.36/32.53  % (3885396)Peak memory usage: 34 MB
% 227.36/32.53  % (3885396)Instructions burned: 3513 (million)
% 227.36/32.53  % (3885402)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2848148582:fmbsr=1.6:i=67534_2936 on theBenchmark for (2936ds/67534Mi)
% 227.36/32.53  % Detected minimum model sizes of [3]
% 227.36/32.53  % Detected maximum model sizes of [max]
% 227.36/32.53  % (3885400)Instruction limit reached! 
% 227.36/32.53  % (3885400)------------------------------
% 227.36/32.53  % (3885400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 227.36/32.53  % (3885400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 227.36/32.53  % (3885400)CaDiCaL version: 2.1.3
% 227.36/32.53  % (3885400)Termination reason: Instruction limit
% 227.36/32.53  % (3885400)Termination phase: Saturation
% 227.36/32.53  % (3885400)Time elapsed: 0.761 s
% 227.36/32.53  % (3885400)Peak memory usage: 27 MB
% 227.36/32.53  % (3885400)Instructions burned: 2253 (million)
% 227.36/32.53  % (3885404)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2713696010:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2930 on theBenchmark for (2930ds/4591Mi)
% 227.36/32.53  % (3885398)Instruction limit reached! 
% 227.36/32.53  % (3885398)------------------------------
% 227.36/32.53  % (3885398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 227.36/32.53  % (3885398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 227.36/32.53  % (3885398)CaDiCaL version: 2.1.3
% 227.36/32.53  % (3885398)Termination reason: Instruction limit
% 227.36/32.53  % (3885398)Termination phase: Saturation
% 227.36/32.53  % (3885398)Time elapsed: 2.343 s
% 227.36/32.53  % (3885398)Peak memory usage: 36 MB
% 227.36/32.53  % (3885398)Instructions burned: 3775 (million)
% 227.36/32.53  % (3885406)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2004047035:i=29340_2918 on theBenchmark for (2918ds/29340Mi)
% 227.36/32.53  % (3885404)Instruction limit reached! 
% 227.36/32.53  % (3885404)------------------------------
% 227.36/32.53  % (3885404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 227.36/32.53  % (3885404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 227.36/32.53  % (3885404)CaDiCaL version: 2.1.3
% 227.36/32.53  % (3885404)Termination reason: Instruction limit
% 227.36/32.53  % (3885404)Termination phase: Saturation
% 145.02/36.87  % (3885404)Time elapsed: 1.275 s
% 145.02/36.87  % (3885404)Peak memory usage: 56 MB
% 145.02/36.87  % (3885404)Instructions burned: 4594 (million)
% 145.02/36.87  % (3885408)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3766693561:i=5211_2917 on theBenchmark for (2917ds/5211Mi)
% 145.02/36.87  % (3885408)Instruction limit reached! 
% 145.02/36.87  % (3885408)------------------------------
% 145.02/36.87  % (3885408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 145.02/36.87  % (3885408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.02/36.87  % (3885408)CaDiCaL version: 2.1.3
% 145.02/36.87  % (3885408)Termination reason: Instruction limit
% 145.02/36.87  % (3885408)Termination phase: Saturation
% 145.02/36.87  % (3885408)Time elapsed: 1.438 s
% 145.02/36.87  % (3885408)Peak memory usage: 46 MB
% 145.02/36.87  % (3885408)Instructions burned: 5212 (million)
% 145.02/36.87  % (3885410)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1228750371:i=5497:nm=2_2903 on theBenchmark for (2903ds/5497Mi)
% 145.02/36.87  % Detected minimum model sizes of [3]
% 145.02/36.87  % Detected maximum model sizes of [max]
% 145.02/36.87  % (3885410)Cannot represent all propositional literals internally
% 145.02/36.87  % (3885410)Refutation not found, incomplete strategy
% 145.02/36.87  % (3885410)------------------------------
% 145.02/36.87  % (3885410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 145.02/36.87  % (3885410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.02/36.87  % (3885410)CaDiCaL version: 2.1.3
% 145.02/36.87  % (3885410)Termination reason: Refutation not found, incomplete strategy
% 145.02/36.87  % (3885410)Time elapsed: 0.097 s
% 145.02/36.87  % (3885410)Peak memory usage: 17 MB
% 145.02/36.87  % (3885410)Instructions burned: 361 (million)
% 145.02/36.87  % (3885410)------------------------------
% 145.02/36.87  % (3885410)------------------------------
% 145.02/36.87  % (3885412)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1900355534:fmbsr=2:i=46332_2901 on theBenchmark for (2901ds/46332Mi)
% 145.02/36.87  % Detected minimum model sizes of [3]
% 145.02/36.87  % Detected maximum model sizes of [max]
% 145.02/36.87  % (3885412)Cannot represent all propositional literals internally
% 145.02/36.87  % (3885412)Refutation not found, incomplete strategy
% 145.02/36.87  % (3885412)------------------------------
% 145.02/36.87  % (3885412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 145.02/36.87  % (3885412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.02/36.87  % (3885412)CaDiCaL version: 2.1.3
% 145.02/36.87  % (3885412)Termination reason: Refutation not found, incomplete strategy
% 145.02/36.87  % (3885412)Time elapsed: 0.094 s
% 145.02/36.87  % (3885412)Peak memory usage: 15 MB
% 145.02/36.87  % (3885412)Instructions burned: 364 (million)
% 145.02/36.87  % (3885412)------------------------------
% 145.02/36.87  % (3885412)------------------------------
% 145.02/36.87  % (3885414)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=3887394479:i=14071_2900 on theBenchmark for (2900ds/14071Mi)
% 145.02/36.87  % Detected minimum model sizes of [3]
% 145.02/36.87  % Detected maximum model sizes of [max]
% 145.02/36.87  % (3885414)Cannot represent all propositional literals internally
% 145.02/36.87  % (3885414)Refutation not found, incomplete strategy
% 145.02/36.87  % (3885414)------------------------------
% 145.02/36.87  % (3885414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 145.02/36.87  % (3885414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.02/36.87  % (3885414)CaDiCaL version: 2.1.3
% 145.02/36.87  % (3885414)Termination reason: Refutation not found, incomplete strategy
% 145.02/36.87  % (3885414)Time elapsed: 0.092 s
% 145.02/36.87  % (3885414)Peak memory usage: 16 MB
% 145.02/36.87  % (3885414)Instructions burned: 349 (million)
% 145.02/36.87  % (3885414)------------------------------
% 145.02/36.87  % (3885414)------------------------------
% 145.02/36.87  % (3885416)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=881113026:i=22565:add=on:rawr=on_2899 on theBenchmark for (2899ds/22565Mi)
% 145.02/36.87  % TRYING [5]
% 145.02/36.87  % TRYING [5]
% 145.02/36.87  % (3885416)Instruction limit reached! 
% 145.02/36.87  % (3885416)------------------------------
% 145.02/36.87  % (3885416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 145.02/36.87  % (3885416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.02/36.87  % (3885416)CaDiCaL version: 2.1.3
% 145.02/36.87  % (3885416)Termination reason: Instruction limit
% 145.02/36.87  % (3885416)Termination phase: Saturation
% 145.02/36.87  % (3885416)Time elapsed: 5.690 s
% 145.02/36.87  % (3885416)Peak memory usage: 111 MB
% 145.02/36.87  % (3885416)Instructions burned: 22570 (million)
% 145.02/36.87  % (3885418)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2320448291:i=8173:av=off_2842 on theBenchmark for (2842ds/8173Mi)
% 145.02/36.87  % (3885418)Instruction limit reached! 
% 145.02/36.87  % (3885418)------------------------------
% 145.02/36.87  % (3885418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 145.02/36.87  % (3885418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.02/36.87  % (3885418)CaDiCaL version: 2.1.3
% 145.02/36.87  % (3885418)Termination reason: Instruction limit
% 145.02/36.87  % (3885418)Termination phase: Saturation
% 145.02/36.87  % (3885418)Time elapsed: 2.549 s
% 145.02/36.87  % (3885418)Peak memory usage: 71 MB
% 145.02/36.87  % (3885418)Instructions burned: 8175 (million)
% 145.02/36.87  % (3885420)dis+10_16:1_sil=16000:random_seed=2422073516:i=9155:fsr=off_2816 on theBenchmark for (2816ds/9155Mi)
% 145.02/36.87  % (3885420)Instruction limit reached! 
% 145.02/36.87  % (3885420)------------------------------
% 145.02/36.87  % (3885420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 145.02/36.87  % (3885420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.02/36.87  % (3885420)CaDiCaL version: 2.1.3
% 145.02/36.87  % (3885420)Termination reason: Instruction limit
% 145.02/36.87  % (3885420)Termination phase: Saturation
% 145.02/36.87  % (3885420)Time elapsed: 2.764 s
% 145.02/36.87  % (3885420)Peak memory usage: 50 MB
% 145.02/36.87  % (3885420)Instructions burned: 9156 (million)
% 145.02/36.87  % (3885422)ott-3_8_sil=64000:random_seed=3500476598:i=20139:bs=on_2789 on theBenchmark for (2789ds/20139Mi)
% 145.02/36.87  % (3885406)Instruction limit reached! 
% 145.02/36.87  % (3885406)------------------------------
% 145.02/36.87  % (3885406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 145.02/36.87  % (3885406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.02/36.87  % (3885406)CaDiCaL version: 2.1.3
% 145.02/36.87  % (3885406)Termination reason: Instruction limit
% 145.02/36.87  % (3885406)Termination phase: Saturation
% 145.02/36.87  % (3885406)Time elapsed: 13.028 s
% 145.02/36.87  % (3885406)Peak memory usage: 154 MB
% 145.02/36.87  % (3885406)Instructions burned: 29340 (million)
% 145.02/36.87  % (3885424)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=3048468944:fmbsr=2:i=32576_2787 on theBenchmark for (2787ds/32576Mi)
% 145.02/36.87  % Detected minimum model sizes of [3]
% 145.02/36.87  % Detected maximum model sizes of [max]
% 145.02/36.87  % TRYING [9]
% 145.02/36.87  % TRYING [7]
% 145.02/36.87  % (3885394)Instruction limit reached! 
% 145.02/36.87  % (3885394)------------------------------
% 145.02/36.87  % (3885394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 145.02/36.87  % (3885394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.02/36.87  % (3885394)CaDiCaL version: 2.1.3
% 145.02/36.87  % (3885394)Termination reason: Instruction limit
% 145.02/36.87  % (3885394)Termination phase: Finite model building constraint generation
% 145.02/36.87  % (3885394)Time elapsed: 21.558 s
% 145.02/36.87  % (3885394)Peak memory usage: 2713 MB
% 145.02/36.87  % (3885394)Instructions burned: 54283 (million)
% 145.02/36.87  % (3885426)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=1319146929:i=11404_2754 on theBenchmark for (2754ds/11404Mi)
% 145.02/36.87  % (3885422)Instruction limit reached! 
% 145.02/36.87  % (3885422)------------------------------
% 145.02/36.87  % (3885422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 145.02/36.87  % (3885422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.02/36.87  % (3885422)CaDiCaL version: 2.1.3
% 145.02/36.87  % (3885422)Termination reason: Instruction limit
% 145.02/36.87  % (3885422)Termination phase: Saturation
% 145.02/36.87  % (3885422)Time elapsed: 7.117 s
% 145.02/36.87  % (3885422)Peak memory usage: 71 MB
% 145.02/36.87  % (3885422)Instructions burned: 20140 (million)
% 145.02/36.87  % (3885428)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=677657201:i=14134_2717 on theBenchmark for (2717ds/14134Mi)
% 145.02/36.87  % (3885426)Instruction limit reached! 
% 145.02/36.87  % (3885426)------------------------------
% 145.02/36.87  % (3885426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 145.02/36.87  % (3885426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.02/36.87  % (3885426)CaDiCaL version: 2.1.3
% 145.02/36.87  % (3885426)Termination reason: Instruction limit
% 145.02/36.87  % (3885426)Termination phase: Saturation
% 145.02/36.87  % (3885426)Time elapsed: 7.520 s
% 145.02/36.87  % (3885426)Peak memory usage: 92 MB
% 145.02/36.87  % (3885426)Instructions burned: 11406 (million)
% 145.02/36.87  % (3885430)dis+33_16_sil=32000:sac=on:random_seed=2712866705:i=15851:nm=0_2679 on theBenchmark for (2679ds/15851Mi)
% 145.02/36.87  % (3885424)Instruction limit reached! 
% 145.02/36.87  % (3885424)------------------------------
% 145.02/36.87  % (3885424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 145.02/36.87  % (3885424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.02/36.87  % (3885424)CaDiCaL version: 2.1.3
% 145.02/36.87  % (3885424)Termination reason: Instruction limit
% 145.02/36.87  % (3885424)Termination phase: Finite model building constraint generation
% 145.02/36.87  % (3885424)Time elapsed: 11.589 s
% 145.02/36.87  % (3885424)Peak memory usage: 1991 MB
% 145.02/36.87  % (3885424)Instructions burned: 32576 (million)
% 145.02/36.87  % (3885432)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=2436691955:avsq=on:i=17627:add=on:amm=off_2669 on theBenchmark for (2669ds/17627Mi)
% 145.02/36.87  % (3885428)Instruction limit reached! 
% 145.02/36.87  % (3885428)------------------------------
% 145.02/36.87  % (3885428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 145.02/36.87  % (3885428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.02/36.87  % (3885428)CaDiCaL version: 2.1.3
% 145.02/36.87  % (3885428)Termination reason: Instruction limit
% 145.02/36.87  % (3885428)Termination phase: Saturation
% 145.02/36.87  % (3885428)Time elapsed: 4.937 s
% 145.02/36.87  % (3885428)Peak memory usage: 82 MB
% 145.02/36.87  % (3885428)Instructions burned: 14135 (million)
% 145.02/36.87  % (3885434)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=660904984:s2a=on:i=53295_2668 on theBenchmark for (2668ds/53295Mi)
% 145.02/36.87  % (3885402)Instruction limit reached! 
% 145.02/36.87  % (3885402)------------------------------
% 145.02/36.87  % (3885402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 145.02/36.87  % (3885402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.02/36.87  % (3885402)CaDiCaL version: 2.1.3
% 145.02/36.87  % (3885402)Termination reason: Instruction limit
% 145.02/36.87  % (3885402)Termination phase: Finite model building constraint generation
% 145.02/36.87  % (3885402)Time elapsed: 26.911 s
% 145.02/36.87  % (3885402)Peak memory usage: 5333 MB
% 145.02/36.87  % (3885402)Instructions burned: 67534 (million)
% 145.02/36.87  % (3885436)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=3429337444:i=26857:ins=20_2658 on theBenchmark for (2658ds/26857Mi)
% 145.02/36.87  % Detected minimum model sizes of [3]
% 145.02/36.87  % Detected maximum model sizes of [max]
% 145.02/36.87  % (3885436)Cannot represent all propositional literals internally
% 145.02/36.87  % (3885436)Refutation not found, incomplete strategy
% 145.02/36.87  % (3885436)------------------------------
% 145.02/36.87  % (3885436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 145.02/36.87  % (3885436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.02/36.87  % (3885436)CaDiCaL version: 2.1.3
% 145.02/36.87  % (3885436)Termination reason: Refutation not found, incomplete strategy
% 145.02/36.87  % (3885436)Time elapsed: 0.174 s
% 145.02/36.87  % (3885436)Peak memory usage: 16 MB
% 145.02/36.87  % (3885436)Instructions burned: 352 (million)
% 145.02/36.87  % (3885436)------------------------------
% 145.02/36.87  % (3885436)------------------------------
% 145.02/36.87  % (3885438)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=158217655:i=28120:bs=on:fsr=off_2656 on theBenchmark for (2656ds/28120Mi)
% 145.02/36.87  % (3885438) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3885337-3885438"...
% 145.02/36.87  % (3885438)...printing done.
% 145.02/36.87  % (3885438)Refutation found. Thanks to Tanya!
% 145.02/36.87  % SZS status Unsatisfiable for theBenchmark
% 145.02/36.87  % SZS output start Proof for theBenchmark
% See solution above
% 145.02/36.87  % (3885438)------------------------------
% 145.02/36.87  % (3885438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 145.02/36.87  % (3885438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.02/36.87  % (3885438)CaDiCaL version: 2.1.3
% 145.02/36.87  % (3885438)Termination reason: Refutation
% 145.02/36.87  % (3885438)Time elapsed: 1.404 s
% 145.02/36.87  % (3885438)Peak memory usage: 27 MB
% 145.02/36.87  % (3885438)Instructions burned: 2285 (million)
% 145.02/36.87  % (3885337)Success in time 36.449 s
% 145.02/36.87  % Vampire exiting
%------------------------------------------------------------------------------