TSTP Solution File: SCT022-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SCT022-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:16:19 EDT 2022

% Result   : Unsatisfiable 1.76s 0.61s
% Output   : Refutation 1.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   81 (  15 unt;   0 def)
%            Number of atoms       :  201 (  10 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  212 (  92   ~; 104   |;   0   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   22 (  20 usr;  17 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   8 con; 0-4 aty)
%            Number of variables   :   43 (  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f920,plain,
    $false,
    inference(avatar_sat_refutation,[],[f730,f746,f756,f758,f760,f762,f764,f766,f768,f776,f810,f829,f832,f865,f870,f902,f919]) ).

fof(f919,plain,
    ( ~ spl0_22
    | spl0_26 ),
    inference(avatar_contradiction_clause,[],[f918]) ).

fof(f918,plain,
    ( $false
    | ~ spl0_22
    | spl0_26 ),
    inference(resolution,[],[f901,f883]) ).

fof(f883,plain,
    ( hBOOL(hAPP(v_F(v_P),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ spl0_22 ),
    inference(resolution,[],[f869,f678]) ).

fof(f678,axiom,
    ! [X0,X1,X13] :
      ( ~ hBOOL(c_in(X1,X13,X0))
      | hBOOL(hAPP(X13,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).

fof(f869,plain,
    ( hBOOL(c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f867,plain,
    ( spl0_22
  <=> hBOOL(c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f901,plain,
    ( ~ hBOOL(hAPP(v_F(v_P),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | spl0_26 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f899,plain,
    ( spl0_26
  <=> hBOOL(hAPP(v_F(v_P),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f902,plain,
    ( ~ spl0_10
    | ~ spl0_26
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f889,f773,f899,f753]) ).

fof(f753,plain,
    ( spl0_10
  <=> c_Relation_Oirrefl(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f773,plain,
    ( spl0_11
  <=> ! [X0] :
        ( ~ hBOOL(c_in(c_Pair(X0,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
        | hBOOL(c_in(c_Pair(X0,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f889,plain,
    ( ~ hBOOL(hAPP(v_F(v_P),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ c_Relation_Oirrefl(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ spl0_11 ),
    inference(resolution,[],[f816,f672]) ).

fof(f672,axiom,
    ! [X2,X0,X1] :
      ( ~ hBOOL(c_in(c_Pair(X1,X1,X0,X0),X2,tc_prod(X0,X0)))
      | ~ c_Relation_Oirrefl(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_irrefl__def_0) ).

fof(f816,plain,
    ( ! [X2] :
        ( hBOOL(c_in(c_Pair(X2,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
        | ~ hBOOL(hAPP(v_F(v_P),c_Pair(X2,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) )
    | ~ spl0_11 ),
    inference(resolution,[],[f774,f677]) ).

fof(f677,axiom,
    ! [X0,X1,X13] :
      ( hBOOL(c_in(X1,X13,X0))
      | ~ hBOOL(hAPP(X13,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).

fof(f774,plain,
    ( ! [X0] :
        ( ~ hBOOL(c_in(c_Pair(X0,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
        | hBOOL(c_in(c_Pair(X0,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f870,plain,
    ( spl0_13
    | spl0_14
    | spl0_22
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f844,f744,f867,f787,f784]) ).

fof(f784,plain,
    ( spl0_13
  <=> ! [X0] :
        ( ~ c_Relation_Ototal__on(X0,hAPP(v_P,v_i),tc_Arrow__Order__Mirabelle_Oalt)
        | ~ hBOOL(c_in(v_a,X0,tc_Arrow__Order__Mirabelle_Oalt))
        | ~ hBOOL(c_in(v_b,X0,tc_Arrow__Order__Mirabelle_Oalt)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f787,plain,
    ( spl0_14
  <=> v_a = v_b ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f744,plain,
    ( spl0_8
  <=> ! [X9,X5] :
        ( hBOOL(c_in(c_Pair(X5,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
        | X5 = X9
        | ~ hBOOL(c_in(c_Pair(X5,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f844,plain,
    ( ! [X13] :
        ( hBOOL(c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
        | v_a = v_b
        | ~ hBOOL(c_in(v_a,X13,tc_Arrow__Order__Mirabelle_Oalt))
        | ~ hBOOL(c_in(v_b,X13,tc_Arrow__Order__Mirabelle_Oalt))
        | ~ c_Relation_Ototal__on(X13,hAPP(v_P,v_i),tc_Arrow__Order__Mirabelle_Oalt) )
    | ~ spl0_8 ),
    inference(resolution,[],[f813,f683]) ).

fof(f683,axiom,
    ~ hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f813,plain,
    ( ! [X2,X0,X1] :
        ( hBOOL(c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
        | ~ hBOOL(c_in(X1,X2,tc_Arrow__Order__Mirabelle_Oalt))
        | X0 = X1
        | hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
        | ~ c_Relation_Ototal__on(X2,hAPP(v_P,v_i),tc_Arrow__Order__Mirabelle_Oalt)
        | ~ hBOOL(c_in(X0,X2,tc_Arrow__Order__Mirabelle_Oalt)) )
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f811]) ).

fof(f811,plain,
    ( ! [X2,X0,X1] :
        ( ~ hBOOL(c_in(X0,X2,tc_Arrow__Order__Mirabelle_Oalt))
        | X0 = X1
        | hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
        | ~ hBOOL(c_in(X1,X2,tc_Arrow__Order__Mirabelle_Oalt))
        | ~ c_Relation_Ototal__on(X2,hAPP(v_P,v_i),tc_Arrow__Order__Mirabelle_Oalt)
        | hBOOL(c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
        | X0 = X1 )
    | ~ spl0_8 ),
    inference(resolution,[],[f745,f676]) ).

fof(f676,axiom,
    ! [X2,X0,X1,X4,X23] :
      ( hBOOL(c_in(c_Pair(X23,X1,X0,X0),X2,tc_prod(X0,X0)))
      | ~ hBOOL(c_in(X23,X4,X0))
      | X1 = X23
      | ~ hBOOL(c_in(X1,X4,X0))
      | hBOOL(c_in(c_Pair(X1,X23,X0,X0),X2,tc_prod(X0,X0)))
      | ~ c_Relation_Ototal__on(X4,X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_total__on__def_0) ).

fof(f745,plain,
    ( ! [X9,X5] :
        ( ~ hBOOL(c_in(c_Pair(X5,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
        | hBOOL(c_in(c_Pair(X5,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
        | X5 = X9 )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f865,plain,
    ( ~ spl0_10
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f861,f787,f753]) ).

fof(f861,plain,
    ( ~ c_Relation_Oirrefl(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ spl0_14 ),
    inference(resolution,[],[f833,f672]) ).

fof(f833,plain,
    ( hBOOL(c_in(c_Pair(v_a,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ spl0_14 ),
    inference(superposition,[],[f682,f789]) ).

fof(f789,plain,
    ( v_a = v_b
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f682,axiom,
    hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f832,plain,
    spl0_17,
    inference(avatar_contradiction_clause,[],[f830]) ).

fof(f830,plain,
    ( $false
    | spl0_17 ),
    inference(resolution,[],[f805,f675]) ).

fof(f675,axiom,
    ! [X0,X1] : hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNIV__I_0) ).

fof(f805,plain,
    ( ~ hBOOL(c_in(v_a,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt))
    | spl0_17 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f803,plain,
    ( spl0_17
  <=> hBOOL(c_in(v_a,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f829,plain,
    spl0_18,
    inference(avatar_contradiction_clause,[],[f827]) ).

fof(f827,plain,
    ( $false
    | spl0_18 ),
    inference(resolution,[],[f809,f675]) ).

fof(f809,plain,
    ( ~ hBOOL(c_in(v_b,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt))
    | spl0_18 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f807,plain,
    ( spl0_18
  <=> hBOOL(c_in(v_b,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f810,plain,
    ( ~ spl0_17
    | ~ spl0_18
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f792,f784,f807,f803]) ).

fof(f792,plain,
    ( ~ hBOOL(c_in(v_b,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt))
    | ~ hBOOL(c_in(v_a,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt))
    | ~ spl0_13 ),
    inference(resolution,[],[f785,f681]) ).

fof(f681,axiom,
    ! [X1] : c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,X1),tc_Arrow__Order__Mirabelle_Oalt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f785,plain,
    ( ! [X0] :
        ( ~ c_Relation_Ototal__on(X0,hAPP(v_P,v_i),tc_Arrow__Order__Mirabelle_Oalt)
        | ~ hBOOL(c_in(v_b,X0,tc_Arrow__Order__Mirabelle_Oalt))
        | ~ hBOOL(c_in(v_a,X0,tc_Arrow__Order__Mirabelle_Oalt)) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f776,plain,
    ( ~ spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f770,f773,f723]) ).

fof(f723,plain,
    ( spl0_3
  <=> c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f770,plain,
    ! [X1] :
      ( hBOOL(c_in(c_Pair(X1,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
      | ~ hBOOL(c_in(c_Pair(X1,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
      | ~ c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt) ),
    inference(resolution,[],[f682,f670]) ).

fof(f670,axiom,
    ! [X2,X10,X0,X18,X1] :
      ( ~ hBOOL(c_in(c_Pair(X10,X18,X0,X0),X2,tc_prod(X0,X0)))
      | hBOOL(c_in(c_Pair(X1,X18,X0,X0),X2,tc_prod(X0,X0)))
      | ~ hBOOL(c_in(c_Pair(X1,X10,X0,X0),X2,tc_prod(X0,X0)))
      | ~ c_Relation_Otrans(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trans__def_0) ).

fof(f768,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f767]) ).

fof(f767,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f738,f681]) ).

fof(f738,plain,
    ( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_xa),tc_Arrow__Order__Mirabelle_Oalt)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f736,plain,
    ( spl0_6
  <=> c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_xa),tc_Arrow__Order__Mirabelle_Oalt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f766,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f765]) ).

fof(f765,plain,
    ( $false
    | spl0_4 ),
    inference(resolution,[],[f729,f680]) ).

fof(f680,axiom,
    ! [X1] : c_Relation_Oirrefl(hAPP(v_P,X1),tc_Arrow__Order__Mirabelle_Oalt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f729,plain,
    ( ~ c_Relation_Oirrefl(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f727,plain,
    ( spl0_4
  <=> c_Relation_Oirrefl(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f764,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f763]) ).

fof(f763,plain,
    ( $false
    | spl0_2 ),
    inference(resolution,[],[f721,f681]) ).

fof(f721,plain,
    ( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f719,plain,
    ( spl0_2
  <=> c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f762,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f761]) ).

fof(f761,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f734,f679]) ).

fof(f679,axiom,
    ! [X1] : c_Relation_Otrans(hAPP(v_P,X1),tc_Arrow__Order__Mirabelle_Oalt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f734,plain,
    ( ~ c_Relation_Otrans(hAPP(v_P,v_xa),tc_Arrow__Order__Mirabelle_Oalt)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f732,plain,
    ( spl0_5
  <=> c_Relation_Otrans(hAPP(v_P,v_xa),tc_Arrow__Order__Mirabelle_Oalt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f760,plain,
    spl0_7,
    inference(avatar_contradiction_clause,[],[f759]) ).

fof(f759,plain,
    ( $false
    | spl0_7 ),
    inference(resolution,[],[f742,f680]) ).

fof(f742,plain,
    ( ~ c_Relation_Oirrefl(hAPP(v_P,v_xa),tc_Arrow__Order__Mirabelle_Oalt)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f740,plain,
    ( spl0_7
  <=> c_Relation_Oirrefl(hAPP(v_P,v_xa),tc_Arrow__Order__Mirabelle_Oalt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f758,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f757]) ).

fof(f757,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f717,f679]) ).

fof(f717,plain,
    ( ~ c_Relation_Otrans(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f715,plain,
    ( spl0_1
  <=> c_Relation_Otrans(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f756,plain,
    ( ~ spl0_4
    | spl0_10
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f685,f719,f715,f753,f727]) ).

fof(f685,axiom,
    ( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ c_Relation_Otrans(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)
    | c_Relation_Oirrefl(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ c_Relation_Oirrefl(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f746,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f687,f744,f740,f736,f732]) ).

fof(f687,axiom,
    ! [X9,X5] :
      ( hBOOL(c_in(c_Pair(X5,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
      | ~ hBOOL(c_in(c_Pair(X5,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
      | ~ c_Relation_Oirrefl(hAPP(v_P,v_xa),tc_Arrow__Order__Mirabelle_Oalt)
      | ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_xa),tc_Arrow__Order__Mirabelle_Oalt)
      | X5 = X9
      | ~ c_Relation_Otrans(hAPP(v_P,v_xa),tc_Arrow__Order__Mirabelle_Oalt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).

fof(f730,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f684,f727,f723,f719,f715]) ).

fof(f684,axiom,
    ( ~ c_Relation_Oirrefl(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)
    | c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ c_Relation_Otrans(hAPP(v_P,v_x),tc_Arrow__Order__Mirabelle_Oalt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SCT022-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n006.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 12:23:39 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.20/0.51  % (10167)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.51  % (10172)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.51  % (10163)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52  % (10156)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52  % (10167)Instruction limit reached!
% 0.20/0.52  % (10167)------------------------------
% 0.20/0.52  % (10167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (10167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (10167)Termination reason: Unknown
% 0.20/0.52  % (10167)Termination phase: Property scanning
% 0.20/0.52  
% 0.20/0.52  % (10167)Memory used [KB]: 2046
% 0.20/0.52  % (10167)Time elapsed: 0.012 s
% 0.20/0.52  % (10167)Instructions burned: 11 (million)
% 0.20/0.52  % (10167)------------------------------
% 0.20/0.52  % (10167)------------------------------
% 0.20/0.52  % (10163)Instruction limit reached!
% 0.20/0.52  % (10163)------------------------------
% 0.20/0.52  % (10163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (10164)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.53  % (10163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (10163)Termination reason: Unknown
% 0.20/0.53  % (10163)Termination phase: SInE selection
% 0.20/0.53  
% 0.20/0.53  % (10163)Memory used [KB]: 1918
% 0.20/0.53  % (10163)Time elapsed: 0.005 s
% 0.20/0.53  % (10163)Instructions burned: 3 (million)
% 0.20/0.53  % (10163)------------------------------
% 0.20/0.53  % (10163)------------------------------
% 0.20/0.54  % (10179)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55  % (10152)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.55  % (10152)Instruction limit reached!
% 0.20/0.55  % (10152)------------------------------
% 0.20/0.55  % (10152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (10152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (10152)Termination reason: Unknown
% 0.20/0.55  % (10152)Termination phase: Function definition elimination
% 0.20/0.55  
% 0.20/0.55  % (10152)Memory used [KB]: 2046
% 0.20/0.55  % (10152)Time elapsed: 0.003 s
% 0.20/0.55  % (10152)Instructions burned: 4 (million)
% 0.20/0.55  % (10152)------------------------------
% 0.20/0.55  % (10152)------------------------------
% 0.20/0.56  % (10150)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.56  % (10154)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.56  % (10155)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.56  % (10153)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.56  % (10161)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.56  % (10162)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.56  % (10151)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.56  % (10160)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.56  % (10165)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.56  % (10162)Instruction limit reached!
% 0.20/0.56  % (10162)------------------------------
% 0.20/0.56  % (10162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (10162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (10162)Termination reason: Unknown
% 0.20/0.56  % (10162)Termination phase: Function definition elimination
% 0.20/0.56  
% 0.20/0.56  % (10162)Memory used [KB]: 2046
% 0.20/0.56  % (10162)Time elapsed: 0.004 s
% 0.20/0.56  % (10162)Instructions burned: 5 (million)
% 0.20/0.56  % (10162)------------------------------
% 0.20/0.56  % (10162)------------------------------
% 0.20/0.57  % (10164)Instruction limit reached!
% 0.20/0.57  % (10164)------------------------------
% 0.20/0.57  % (10164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (10159)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.57  % (10160)Instruction limit reached!
% 0.20/0.57  % (10160)------------------------------
% 0.20/0.57  % (10160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (10160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (10160)Termination reason: Unknown
% 0.20/0.57  % (10160)Termination phase: Property scanning
% 0.20/0.57  
% 0.20/0.57  % (10160)Memory used [KB]: 2046
% 0.20/0.57  % (10160)Time elapsed: 0.005 s
% 0.20/0.57  % (10160)Instructions burned: 8 (million)
% 0.20/0.57  % (10160)------------------------------
% 0.20/0.57  % (10160)------------------------------
% 0.20/0.57  % (10164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (10164)Termination reason: Unknown
% 0.20/0.57  % (10164)Termination phase: Blocked clause elimination
% 0.20/0.57  
% 0.20/0.57  % (10164)Memory used [KB]: 2302
% 0.20/0.57  % (10164)Time elapsed: 0.032 s
% 0.20/0.57  % (10164)Instructions burned: 30 (million)
% 0.20/0.57  % (10164)------------------------------
% 0.20/0.57  % (10164)------------------------------
% 0.20/0.57  % (10173)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.57  % (10178)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.57  % (10177)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.57  % (10176)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.57  % (10166)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.58  % (10171)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.58  % (10157)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.58  % (10170)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.58  % (10168)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.58  % (10169)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.58  % (10158)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.59/0.58  % (10170)Instruction limit reached!
% 1.59/0.58  % (10170)------------------------------
% 1.59/0.58  % (10170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.58  % (10158)Instruction limit reached!
% 1.59/0.58  % (10158)------------------------------
% 1.59/0.58  % (10158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.58  % (10170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.58  % (10170)Termination reason: Unknown
% 1.59/0.58  % (10158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.58  % (10170)Termination phase: shuffling
% 1.59/0.58  % (10158)Termination reason: Unknown
% 1.59/0.58  
% 1.59/0.58  % (10158)Termination phase: Function definition elimination
% 1.59/0.58  
% 1.59/0.58  % (10170)Memory used [KB]: 2046
% 1.59/0.58  % (10158)Memory used [KB]: 2046
% 1.59/0.58  % (10170)Time elapsed: 0.005 s
% 1.59/0.58  % (10158)Time elapsed: 0.003 s
% 1.59/0.58  % (10170)Instructions burned: 6 (million)
% 1.59/0.58  % (10158)Instructions burned: 3 (million)
% 1.59/0.58  % (10170)------------------------------
% 1.59/0.58  % (10170)------------------------------
% 1.59/0.58  % (10158)------------------------------
% 1.59/0.58  % (10158)------------------------------
% 1.59/0.58  % (10166)Instruction limit reached!
% 1.59/0.58  % (10166)------------------------------
% 1.59/0.58  % (10166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.58  % (10166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.58  % (10166)Termination reason: Unknown
% 1.59/0.58  % (10166)Termination phase: shuffling
% 1.59/0.58  
% 1.59/0.58  % (10166)Memory used [KB]: 1918
% 1.59/0.58  % (10166)Time elapsed: 0.002 s
% 1.59/0.58  % (10166)Instructions burned: 2 (million)
% 1.59/0.58  % (10166)------------------------------
% 1.59/0.58  % (10166)------------------------------
% 1.59/0.58  % (10174)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.59/0.58  % (10175)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.59/0.59  % (10165)Instruction limit reached!
% 1.59/0.59  % (10165)------------------------------
% 1.59/0.59  % (10165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59  % (10161)Instruction limit reached!
% 1.59/0.59  % (10161)------------------------------
% 1.59/0.59  % (10161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59  % (10161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.59  % (10161)Termination reason: Unknown
% 1.59/0.59  % (10161)Termination phase: Saturation
% 1.59/0.59  
% 1.59/0.59  % (10161)Memory used [KB]: 6524
% 1.59/0.59  % (10161)Time elapsed: 0.012 s
% 1.59/0.59  % (10161)Instructions burned: 23 (million)
% 1.59/0.59  % (10161)------------------------------
% 1.59/0.59  % (10161)------------------------------
% 1.59/0.59  % (10156)Instruction limit reached!
% 1.59/0.59  % (10156)------------------------------
% 1.59/0.59  % (10156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (10156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (10156)Termination reason: Unknown
% 1.76/0.60  % (10156)Termination phase: Saturation
% 1.76/0.60  
% 1.76/0.60  % (10156)Memory used [KB]: 2302
% 1.76/0.60  % (10156)Time elapsed: 0.136 s
% 1.76/0.60  % (10156)Instructions burned: 50 (million)
% 1.76/0.60  % (10156)------------------------------
% 1.76/0.60  % (10156)------------------------------
% 1.76/0.60  % (10178)Instruction limit reached!
% 1.76/0.60  % (10178)------------------------------
% 1.76/0.60  % (10178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (10165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (10169)Instruction limit reached!
% 1.76/0.60  % (10169)------------------------------
% 1.76/0.60  % (10169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (10169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (10169)Termination reason: Unknown
% 1.76/0.60  % (10169)Termination phase: Property scanning
% 1.76/0.60  
% 1.76/0.60  % (10169)Memory used [KB]: 2046
% 1.76/0.60  % (10169)Time elapsed: 0.005 s
% 1.76/0.60  % (10169)Instructions burned: 8 (million)
% 1.76/0.60  % (10169)------------------------------
% 1.76/0.60  % (10169)------------------------------
% 1.76/0.60  % (10165)Termination reason: Unknown
% 1.76/0.60  % (10165)Termination phase: Property scanning
% 1.76/0.60  
% 1.76/0.60  % (10165)Memory used [KB]: 2046
% 1.76/0.60  % (10165)Time elapsed: 0.006 s
% 1.76/0.60  % (10165)Instructions burned: 7 (million)
% 1.76/0.60  % (10165)------------------------------
% 1.76/0.60  % (10165)------------------------------
% 1.76/0.60  % (10171)First to succeed.
% 1.76/0.60  % (10155)Instruction limit reached!
% 1.76/0.60  % (10155)------------------------------
% 1.76/0.60  % (10155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (10155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (10155)Termination reason: Unknown
% 1.76/0.60  % (10155)Termination phase: Saturation
% 1.76/0.60  
% 1.76/0.60  % (10155)Memory used [KB]: 6652
% 1.76/0.60  % (10155)Time elapsed: 0.012 s
% 1.76/0.60  % (10155)Instructions burned: 25 (million)
% 1.76/0.60  % (10155)------------------------------
% 1.76/0.60  % (10155)------------------------------
% 1.76/0.61  % (10178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61  % (10178)Termination reason: Unknown
% 1.76/0.61  % (10178)Termination phase: Property scanning
% 1.76/0.61  
% 1.76/0.61  % (10171)Refutation found. Thanks to Tanya!
% 1.76/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.76/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.76/0.61  % (10171)------------------------------
% 1.76/0.61  % (10171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.61  % (10171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61  % (10171)Termination reason: Refutation
% 1.76/0.61  
% 1.76/0.61  % (10171)Memory used [KB]: 6780
% 1.76/0.61  % (10171)Time elapsed: 0.181 s
% 1.76/0.61  % (10171)Instructions burned: 12 (million)
% 1.76/0.61  % (10171)------------------------------
% 1.76/0.61  % (10171)------------------------------
% 1.76/0.61  % (10149)Success in time 0.258 s
%------------------------------------------------------------------------------