TSTP Solution File: MGT039-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : MGT039-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n024.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 : Sun May  5 07:56:46 EDT 2024

% Result   : Unsatisfiable 0.59s 0.75s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  102 (  12 unt;   0 def)
%            Number of atoms       :  335 (  17 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  423 ( 190   ~; 214   |;   0   &)
%                                         (  19 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   29 (  27 usr;  20 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   57 (  57   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f278,plain,
    $false,
    inference(avatar_sat_refutation,[],[f32,f36,f40,f41,f42,f55,f57,f94,f105,f120,f130,f142,f155,f183,f184,f190,f192,f194,f244,f247,f268]) ).

fof(f268,plain,
    ( ~ spl0_6
    | spl0_16
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f264,f214,f113,f135,f48]) ).

fof(f48,plain,
    ( spl0_6
  <=> environment(sk1(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f135,plain,
    ( spl0_16
  <=> in_environment(sk1(sk3),end_time(sk1(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f113,plain,
    ( spl0_12
  <=> greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f214,plain,
    ( spl0_27
  <=> ! [X0] :
        ( greater(X0,start_time(sk1(sk3)))
        | ~ greater(X0,critical_point(sk1(sk3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f264,plain,
    ( in_environment(sk1(sk3),end_time(sk1(sk3)))
    | ~ environment(sk1(sk3))
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(resolution,[],[f262,f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ greater_or_equal(end_time(X0),start_time(X0))
      | in_environment(X0,end_time(X0))
      | ~ environment(X0) ),
    inference(resolution,[],[f8,f20]) ).

fof(f20,plain,
    ! [X1] : greater_or_equal(X1,X1),
    inference(equality_resolution,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( greater_or_equal(X0,X1)
      | X0 != X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.Yj1hgoSGRv/Vampire---4.8_14563',mp_greater_or_equal_33) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ~ greater_or_equal(end_time(X0),X1)
      | in_environment(X0,X1)
      | ~ greater_or_equal(X1,start_time(X0))
      | ~ environment(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.Yj1hgoSGRv/Vampire---4.8_14563',mp_time_in_environment_27) ).

fof(f262,plain,
    ( greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3)))
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(resolution,[],[f253,f13]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | greater_or_equal(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.Yj1hgoSGRv/Vampire---4.8_14563',mp_greater_or_equal_32) ).

fof(f253,plain,
    ( greater(end_time(sk1(sk3)),start_time(sk1(sk3)))
    | ~ spl0_12
    | ~ spl0_27 ),
    inference(resolution,[],[f215,f115]) ).

fof(f115,plain,
    ( greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f215,plain,
    ( ! [X0] :
        ( ~ greater(X0,critical_point(sk1(sk3)))
        | greater(X0,start_time(sk1(sk3))) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f247,plain,
    ( spl0_27
    | ~ spl0_6
    | spl0_29 ),
    inference(avatar_split_clause,[],[f246,f225,f48,f214]) ).

fof(f225,plain,
    ( spl0_29
  <=> critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f246,plain,
    ( ! [X0] :
        ( ~ environment(sk1(sk3))
        | greater(X0,start_time(sk1(sk3)))
        | ~ greater(X0,critical_point(sk1(sk3))) )
    | spl0_29 ),
    inference(trivial_inequality_removal,[],[f245]) ).

fof(f245,plain,
    ( ! [X0] :
        ( critical_point(sk1(sk3)) != critical_point(sk1(sk3))
        | ~ environment(sk1(sk3))
        | greater(X0,start_time(sk1(sk3)))
        | ~ greater(X0,critical_point(sk1(sk3))) )
    | spl0_29 ),
    inference(superposition,[],[f226,f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( start_time(X0) = critical_point(X0)
      | ~ environment(X0)
      | greater(X1,start_time(X0))
      | ~ greater(X1,critical_point(X0)) ),
    inference(resolution,[],[f44,f11]) ).

fof(f11,axiom,
    ! [X2,X0,X1] :
      ( ~ greater(X1,X2)
      | greater(X0,X2)
      | ~ greater(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.Yj1hgoSGRv/Vampire---4.8_14563',mp_greater_transitivity_30) ).

fof(f44,plain,
    ! [X0] :
      ( greater(critical_point(X0),start_time(X0))
      | start_time(X0) = critical_point(X0)
      | ~ environment(X0) ),
    inference(resolution,[],[f12,f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( greater_or_equal(critical_point(X0),start_time(X0))
      | ~ environment(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.Yj1hgoSGRv/Vampire---4.8_14563',mp_time_of_critical_point_29) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( ~ greater_or_equal(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.Yj1hgoSGRv/Vampire---4.8_14563',mp_greater_or_equal_31) ).

fof(f226,plain,
    ( critical_point(sk1(sk3)) != start_time(sk1(sk3))
    | spl0_29 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f244,plain,
    ( ~ spl0_6
    | spl0_16
    | ~ spl0_24
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f236,f225,f180,f135,f48]) ).

fof(f180,plain,
    ( spl0_24
  <=> greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f236,plain,
    ( ~ greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3)))
    | in_environment(sk1(sk3),end_time(sk1(sk3)))
    | ~ environment(sk1(sk3))
    | ~ spl0_29 ),
    inference(superposition,[],[f62,f227]) ).

fof(f227,plain,
    ( critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f194,plain,
    ( spl0_11
    | ~ spl0_7
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f193,f139,f38,f52,f109]) ).

fof(f109,plain,
    ( spl0_11
  <=> selection_favors(efficient_producers,first_movers,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f52,plain,
    ( spl0_7
  <=> observational_period(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f38,plain,
    ( spl0_5
  <=> ! [X0] :
        ( selection_favors(efficient_producers,first_movers,X0)
        | ~ observational_period(X0)
        | ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f139,plain,
    ( spl0_17
  <=> selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f193,plain,
    ( ~ observational_period(sk3)
    | selection_favors(efficient_producers,first_movers,sk3)
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(resolution,[],[f141,f39]) ).

fof(f39,plain,
    ( ! [X0] :
        ( ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X0)))
        | ~ observational_period(X0)
        | selection_favors(efficient_producers,first_movers,X0) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f141,plain,
    ( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f139]) ).

fof(f192,plain,
    ( spl0_11
    | ~ spl0_7
    | ~ spl0_4
    | spl0_21 ),
    inference(avatar_split_clause,[],[f191,f168,f34,f52,f109]) ).

fof(f34,plain,
    ( spl0_4
  <=> ! [X0] :
        ( selection_favors(efficient_producers,first_movers,X0)
        | ~ observational_period(X0)
        | in_environment(X0,sk1(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f168,plain,
    ( spl0_21
  <=> in_environment(sk3,sk1(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f191,plain,
    ( ~ observational_period(sk3)
    | selection_favors(efficient_producers,first_movers,sk3)
    | ~ spl0_4
    | spl0_21 ),
    inference(resolution,[],[f170,f35]) ).

fof(f35,plain,
    ( ! [X0] :
        ( in_environment(X0,sk1(X0))
        | ~ observational_period(X0)
        | selection_favors(efficient_producers,first_movers,X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f170,plain,
    ( ~ in_environment(sk3,sk1(sk3))
    | spl0_21 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f190,plain,
    ( spl0_24
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f188,f113,f180]) ).

fof(f188,plain,
    ( greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3)))
    | ~ spl0_12 ),
    inference(resolution,[],[f115,f13]) ).

fof(f184,plain,
    ( ~ spl0_7
    | ~ spl0_9
    | ~ spl0_6
    | ~ spl0_21
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f165,f117,f113,f168,f48,f99,f52]) ).

fof(f99,plain,
    ( spl0_9
  <=> slow_change(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f117,plain,
    ( spl0_13
  <=> end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f165,plain,
    ( greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
    | ~ in_environment(sk3,sk1(sk3))
    | ~ environment(sk1(sk3))
    | ~ slow_change(sk3)
    | ~ observational_period(sk3)
    | ~ spl0_13 ),
    inference(superposition,[],[f5,f119]) ).

fof(f119,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( greater(sk2(X1,X0),critical_point(X1))
      | ~ in_environment(X0,X1)
      | ~ environment(X1)
      | ~ slow_change(X0)
      | ~ observational_period(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.Yj1hgoSGRv/Vampire---4.8_14563',mp4_critical_point_24) ).

fof(f183,plain,
    ( ~ spl0_21
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_6
    | spl0_24
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f164,f117,f180,f48,f99,f52,f168]) ).

fof(f164,plain,
    ( greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3)))
    | ~ environment(sk1(sk3))
    | ~ slow_change(sk3)
    | ~ observational_period(sk3)
    | ~ in_environment(sk3,sk1(sk3))
    | ~ spl0_13 ),
    inference(superposition,[],[f74,f119]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( greater_or_equal(sk2(X1,X0),critical_point(X1))
      | ~ environment(X1)
      | ~ slow_change(X0)
      | ~ observational_period(X0)
      | ~ in_environment(X0,X1) ),
    inference(resolution,[],[f5,f13]) ).

fof(f155,plain,
    spl0_9,
    inference(avatar_contradiction_clause,[],[f154]) ).

fof(f154,plain,
    ( $false
    | spl0_9 ),
    inference(resolution,[],[f101,f18]) ).

fof(f18,axiom,
    slow_change(sk3),
    file('/export/starexec/sandbox2/tmp/tmp.Yj1hgoSGRv/Vampire---4.8_14563',prove_t8_37) ).

fof(f101,plain,
    ( ~ slow_change(sk3)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f142,plain,
    ( ~ spl0_6
    | ~ spl0_16
    | spl0_17
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f131,f113,f139,f135,f48]) ).

fof(f131,plain,
    ( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
    | ~ in_environment(sk1(sk3),end_time(sk1(sk3)))
    | ~ environment(sk1(sk3))
    | ~ spl0_12 ),
    inference(resolution,[],[f115,f16]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( ~ greater(X1,critical_point(X0))
      | selection_favors(efficient_producers,first_movers,X1)
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.Yj1hgoSGRv/Vampire---4.8_14563',l8_35) ).

fof(f130,plain,
    ~ spl0_11,
    inference(avatar_contradiction_clause,[],[f129]) ).

fof(f129,plain,
    ( $false
    | ~ spl0_11 ),
    inference(resolution,[],[f111,f19]) ).

fof(f19,axiom,
    ~ selection_favors(efficient_producers,first_movers,sk3),
    file('/export/starexec/sandbox2/tmp/tmp.Yj1hgoSGRv/Vampire---4.8_14563',prove_t8_38) ).

fof(f111,plain,
    ( selection_favors(efficient_producers,first_movers,sk3)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f120,plain,
    ( spl0_11
    | ~ spl0_7
    | spl0_12
    | spl0_13
    | ~ spl0_6
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f106,f103,f34,f48,f117,f113,f52,f109]) ).

fof(f103,plain,
    ( spl0_10
  <=> ! [X0] :
        ( greater(end_time(X0),critical_point(X0))
        | ~ environment(X0)
        | end_time(X0) = sk2(X0,sk3)
        | ~ in_environment(sk3,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f106,plain,
    ( ~ environment(sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
    | ~ observational_period(sk3)
    | selection_favors(efficient_producers,first_movers,sk3)
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(resolution,[],[f104,f35]) ).

fof(f104,plain,
    ( ! [X0] :
        ( ~ in_environment(sk3,X0)
        | ~ environment(X0)
        | end_time(X0) = sk2(X0,sk3)
        | greater(end_time(X0),critical_point(X0)) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f105,plain,
    ( ~ spl0_7
    | ~ spl0_9
    | spl0_10
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f97,f92,f103,f99,f52]) ).

fof(f92,plain,
    ( spl0_8
  <=> ! [X0,X1] :
        ( ~ environment(X0)
        | ~ greater(X1,sk2(X0,sk3))
        | greater(X1,critical_point(X0))
        | ~ in_environment(sk3,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f97,plain,
    ( ! [X0] :
        ( greater(end_time(X0),critical_point(X0))
        | ~ in_environment(sk3,X0)
        | end_time(X0) = sk2(X0,sk3)
        | ~ environment(X0)
        | ~ slow_change(sk3)
        | ~ observational_period(sk3) )
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f96]) ).

fof(f96,plain,
    ( ! [X0] :
        ( greater(end_time(X0),critical_point(X0))
        | ~ in_environment(sk3,X0)
        | end_time(X0) = sk2(X0,sk3)
        | ~ environment(X0)
        | ~ environment(X0)
        | ~ in_environment(sk3,X0)
        | ~ environment(X0)
        | ~ slow_change(sk3)
        | ~ observational_period(sk3) )
    | ~ spl0_8 ),
    inference(resolution,[],[f95,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( in_environment(X1,sk2(X1,X0))
      | ~ in_environment(X0,X1)
      | ~ environment(X1)
      | ~ slow_change(X0)
      | ~ observational_period(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.Yj1hgoSGRv/Vampire---4.8_14563',mp4_critical_point_23) ).

fof(f95,plain,
    ( ! [X0,X1] :
        ( ~ in_environment(X1,sk2(X0,sk3))
        | greater(end_time(X1),critical_point(X0))
        | ~ in_environment(sk3,X0)
        | end_time(X1) = sk2(X0,sk3)
        | ~ environment(X0)
        | ~ environment(X1) )
    | ~ spl0_8 ),
    inference(resolution,[],[f93,f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( greater(end_time(X0),X1)
      | end_time(X0) = X1
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(resolution,[],[f12,f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( greater_or_equal(end_time(X0),X1)
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.Yj1hgoSGRv/Vampire---4.8_14563',mp_environment_end_point_28) ).

fof(f93,plain,
    ( ! [X0,X1] :
        ( ~ greater(X1,sk2(X0,sk3))
        | ~ environment(X0)
        | greater(X1,critical_point(X0))
        | ~ in_environment(sk3,X0) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f94,plain,
    ( ~ spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f90,f92,f52]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ~ environment(X0)
      | ~ in_environment(sk3,X0)
      | ~ observational_period(sk3)
      | greater(X1,critical_point(X0))
      | ~ greater(X1,sk2(X0,sk3)) ),
    inference(resolution,[],[f73,f18]) ).

fof(f73,plain,
    ! [X2,X0,X1] :
      ( ~ slow_change(X0)
      | ~ environment(X1)
      | ~ in_environment(X0,X1)
      | ~ observational_period(X0)
      | greater(X2,critical_point(X1))
      | ~ greater(X2,sk2(X1,X0)) ),
    inference(resolution,[],[f5,f11]) ).

fof(f57,plain,
    spl0_7,
    inference(avatar_contradiction_clause,[],[f56]) ).

fof(f56,plain,
    ( $false
    | spl0_7 ),
    inference(resolution,[],[f54,f17]) ).

fof(f17,axiom,
    observational_period(sk3),
    file('/export/starexec/sandbox2/tmp/tmp.Yj1hgoSGRv/Vampire---4.8_14563',prove_t8_36) ).

fof(f54,plain,
    ( ~ observational_period(sk3)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f55,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f46,f30,f52,f48]) ).

fof(f30,plain,
    ( spl0_3
  <=> ! [X0] :
        ( selection_favors(efficient_producers,first_movers,X0)
        | ~ observational_period(X0)
        | environment(sk1(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f46,plain,
    ( ~ observational_period(sk3)
    | environment(sk1(sk3))
    | ~ spl0_3 ),
    inference(resolution,[],[f31,f19]) ).

fof(f31,plain,
    ( ! [X0] :
        ( selection_favors(efficient_producers,first_movers,X0)
        | ~ observational_period(X0)
        | environment(sk1(X0)) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f42,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f7,f26]) ).

fof(f26,plain,
    ( spl0_2
  <=> propagation_strategy(efficient_producers) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f7,axiom,
    propagation_strategy(efficient_producers),
    file('/export/starexec/sandbox2/tmp/tmp.Yj1hgoSGRv/Vampire---4.8_14563',mp_organizational_sets2_26) ).

fof(f41,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f6,f22]) ).

fof(f22,plain,
    ( spl0_1
  <=> propagation_strategy(first_movers) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f6,axiom,
    propagation_strategy(first_movers),
    file('/export/starexec/sandbox2/tmp/tmp.Yj1hgoSGRv/Vampire---4.8_14563',mp_organizational_sets1_25) ).

fof(f40,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(avatar_split_clause,[],[f3,f38,f26,f22]) ).

fof(f3,axiom,
    ! [X0] :
      ( selection_favors(efficient_producers,first_movers,X0)
      | ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X0)))
      | ~ propagation_strategy(efficient_producers)
      | ~ propagation_strategy(first_movers)
      | ~ observational_period(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.Yj1hgoSGRv/Vampire---4.8_14563',mp3_favoured_trategy_22) ).

fof(f36,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f2,f34,f26,f22]) ).

fof(f2,axiom,
    ! [X0] :
      ( selection_favors(efficient_producers,first_movers,X0)
      | in_environment(X0,sk1(X0))
      | ~ propagation_strategy(efficient_producers)
      | ~ propagation_strategy(first_movers)
      | ~ observational_period(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.Yj1hgoSGRv/Vampire---4.8_14563',mp3_favoured_trategy_21) ).

fof(f32,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f1,f30,f26,f22]) ).

fof(f1,axiom,
    ! [X0] :
      ( selection_favors(efficient_producers,first_movers,X0)
      | environment(sk1(X0))
      | ~ propagation_strategy(efficient_producers)
      | ~ propagation_strategy(first_movers)
      | ~ observational_period(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.Yj1hgoSGRv/Vampire---4.8_14563',mp3_favoured_trategy_20) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : MGT039-1 : TPTP v8.1.2. Released v2.4.0.
% 0.15/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n024.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 20:03:53 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.Yj1hgoSGRv/Vampire---4.8_14563
% 0.59/0.74  % (14746)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.74  % (14748)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.74  % (14747)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.59/0.74  % (14749)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.59/0.74  % (14750)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.74  % (14751)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.74  % (14753)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.59/0.74  % (14751)Refutation not found, incomplete strategy% (14751)------------------------------
% 0.59/0.74  % (14751)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (14749)Refutation not found, incomplete strategy% (14749)------------------------------
% 0.59/0.74  % (14749)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (14751)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (14751)Memory used [KB]: 948
% 0.59/0.74  % (14751)Time elapsed: 0.002 s
% 0.59/0.74  % (14751)Instructions burned: 2 (million)
% 0.59/0.74  % (14753)Refutation not found, incomplete strategy% (14753)------------------------------
% 0.59/0.74  % (14753)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (14753)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (14753)Memory used [KB]: 948
% 0.59/0.74  % (14753)Time elapsed: 0.002 s
% 0.59/0.74  % (14753)Instructions burned: 2 (million)
% 0.59/0.74  % (14749)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (14749)Memory used [KB]: 949
% 0.59/0.74  % (14749)Time elapsed: 0.002 s
% 0.59/0.74  % (14749)Instructions burned: 2 (million)
% 0.59/0.75  % (14753)------------------------------
% 0.59/0.75  % (14753)------------------------------
% 0.59/0.75  % (14751)------------------------------
% 0.59/0.75  % (14751)------------------------------
% 0.59/0.75  % (14749)------------------------------
% 0.59/0.75  % (14749)------------------------------
% 0.59/0.75  % (14752)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.59/0.75  % (14752)Refutation not found, incomplete strategy% (14752)------------------------------
% 0.59/0.75  % (14752)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (14752)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (14752)Memory used [KB]: 981
% 0.59/0.75  % (14752)Time elapsed: 0.002 s
% 0.59/0.75  % (14752)Instructions burned: 4 (million)
% 0.59/0.75  % (14752)------------------------------
% 0.59/0.75  % (14752)------------------------------
% 0.59/0.75  % (14757)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.59/0.75  % (14758)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.75  % (14759)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.59/0.75  % (14747)First to succeed.
% 0.59/0.75  % (14761)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.59/0.75  % (14759)Refutation not found, incomplete strategy% (14759)------------------------------
% 0.59/0.75  % (14759)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (14759)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (14759)Memory used [KB]: 973
% 0.59/0.75  % (14759)Time elapsed: 0.004 s
% 0.59/0.75  % (14759)Instructions burned: 3 (million)
% 0.59/0.75  % (14759)------------------------------
% 0.59/0.75  % (14759)------------------------------
% 0.59/0.75  % (14757)Refutation not found, incomplete strategy% (14757)------------------------------
% 0.59/0.75  % (14757)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (14757)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (14757)Memory used [KB]: 977
% 0.59/0.75  % (14757)Time elapsed: 0.004 s
% 0.59/0.75  % (14757)Instructions burned: 4 (million)
% 0.59/0.75  % (14747)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14730"
% 0.59/0.75  % (14757)------------------------------
% 0.59/0.75  % (14757)------------------------------
% 0.59/0.75  % (14747)Refutation found. Thanks to Tanya!
% 0.59/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75  % (14747)------------------------------
% 0.59/0.75  % (14747)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (14747)Termination reason: Refutation
% 0.59/0.75  
% 0.59/0.75  % (14747)Memory used [KB]: 1133
% 0.59/0.75  % (14747)Time elapsed: 0.009 s
% 0.59/0.75  % (14747)Instructions burned: 11 (million)
% 0.59/0.75  % (14730)Success in time 0.383 s
% 0.59/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------