TSTP Solution File: MGT027-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : MGT027-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 07:56:38 EDT 2024

% Result   : Unsatisfiable 0.60s 0.76s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   97 (   5 unt;   0 def)
%            Number of atoms       :  353 (   6 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  484 ( 228   ~; 241   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   24 (  22 usr;  16 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   54 (  54   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f242,plain,
    $false,
    inference(avatar_sat_refutation,[],[f34,f36,f38,f81,f92,f94,f107,f151,f169,f171,f184,f185,f216,f222,f226,f231,f241]) ).

fof(f241,plain,
    ( ~ spl0_3
    | ~ spl0_2
    | ~ spl0_13
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f239,f113,f104,f130,f27,f31]) ).

fof(f31,plain,
    ( spl0_3
  <=> stable(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f27,plain,
    ( spl0_2
  <=> environment(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f130,plain,
    ( spl0_13
  <=> in_environment(sk3,sk2(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f104,plain,
    ( spl0_10
  <=> greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f113,plain,
    ( spl0_11
  <=> sk2(sk3) = sk1(sk2(sk3),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f239,plain,
    ( ~ in_environment(sk3,sk2(sk3))
    | ~ environment(sk3)
    | ~ stable(sk3)
    | spl0_10
    | ~ spl0_11 ),
    inference(resolution,[],[f237,f53]) ).

fof(f53,plain,
    ! [X0] :
      ( greater(cardinality_at_time(efficient_producers,sk2(X0)),zero)
      | ~ in_environment(X0,sk2(X0))
      | ~ environment(X0)
      | ~ stable(X0) ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( greater(cardinality_at_time(efficient_producers,sk2(X0)),zero)
      | ~ in_environment(X0,sk2(X0))
      | ~ environment(X0)
      | ~ environment(X0)
      | ~ stable(X0) ),
    inference(resolution,[],[f11,f21]) ).

fof(f21,plain,
    ! [X0] :
      ( greater_or_equal(sk2(X0),appear(efficient_producers,X0))
      | ~ environment(X0)
      | ~ stable(X0) ),
    inference(resolution,[],[f12,f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | greater_or_equal(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.5huA41MTOJ/Vampire---4.8_18021',mp_greater_or_equal_32) ).

fof(f12,axiom,
    ! [X0] :
      ( greater(sk2(X0),appear(efficient_producers,X0))
      | ~ stable(X0)
      | ~ environment(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.5huA41MTOJ/Vampire---4.8_18021',l10_35) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( ~ greater_or_equal(X1,appear(efficient_producers,X0))
      | greater(cardinality_at_time(efficient_producers,X1),zero)
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.5huA41MTOJ/Vampire---4.8_18021',t6_34) ).

fof(f237,plain,
    ( ~ greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero)
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f106,f115]) ).

fof(f115,plain,
    ( sk2(sk3) = sk1(sk2(sk3),sk3)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f106,plain,
    ( ~ greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f231,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_13
    | spl0_1
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f227,f210,f23,f130,f31,f27]) ).

fof(f23,plain,
    ( spl0_1
  <=> contracts_from(sk2(sk3),first_movers) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f210,plain,
    ( spl0_20
  <=> greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f227,plain,
    ( contracts_from(sk2(sk3),first_movers)
    | ~ in_environment(sk3,sk2(sk3))
    | ~ stable(sk3)
    | ~ environment(sk3)
    | ~ spl0_20 ),
    inference(resolution,[],[f212,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ greater(zero,growth_rate(first_movers,sk1(X1,X0)))
      | contracts_from(X1,first_movers)
      | ~ in_environment(X0,X1)
      | ~ stable(X0)
      | ~ environment(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.5huA41MTOJ/Vampire---4.8_18021',mp_contracts_from_26) ).

fof(f212,plain,
    ( greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3)))
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f226,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_13
    | spl0_1
    | spl0_22 ),
    inference(avatar_split_clause,[],[f224,f219,f23,f130,f31,f27]) ).

fof(f219,plain,
    ( spl0_22
  <=> greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f224,plain,
    ( contracts_from(sk2(sk3),first_movers)
    | ~ in_environment(sk3,sk2(sk3))
    | ~ stable(sk3)
    | ~ environment(sk3)
    | spl0_22 ),
    inference(resolution,[],[f221,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( greater_or_equal(sk1(X1,X0),X1)
      | contracts_from(X1,first_movers)
      | ~ in_environment(X0,X1)
      | ~ stable(X0)
      | ~ environment(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.5huA41MTOJ/Vampire---4.8_18021',mp_contracts_from_25) ).

fof(f221,plain,
    ( ~ greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3))
    | spl0_22 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f222,plain,
    ( ~ spl0_15
    | ~ spl0_22
    | ~ spl0_2
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f217,f214,f27,f219,f148]) ).

fof(f148,plain,
    ( spl0_15
  <=> in_environment(sk3,sk1(sk2(sk3),sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f214,plain,
    ( spl0_21
  <=> ! [X0] :
        ( ~ environment(X0)
        | ~ stable(X0)
        | ~ greater_or_equal(sk1(sk2(sk3),sk3),sk2(X0))
        | ~ in_environment(X0,sk1(sk2(sk3),sk3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f217,plain,
    ( ~ environment(sk3)
    | ~ greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3))
    | ~ in_environment(sk3,sk1(sk2(sk3),sk3))
    | ~ spl0_21 ),
    inference(resolution,[],[f215,f15]) ).

fof(f15,axiom,
    stable(sk3),
    file('/export/starexec/sandbox/tmp/tmp.5huA41MTOJ/Vampire---4.8_18021',prove_l9_38) ).

fof(f215,plain,
    ( ! [X0] :
        ( ~ stable(X0)
        | ~ environment(X0)
        | ~ greater_or_equal(sk1(sk2(sk3),sk3),sk2(X0))
        | ~ in_environment(X0,sk1(sk2(sk3),sk3)) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f216,plain,
    ( spl0_20
    | spl0_21
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f208,f101,f214,f210]) ).

fof(f101,plain,
    ( spl0_9
  <=> ! [X0] :
        ( subpopulations(first_movers,efficient_producers,X0,sk1(sk2(sk3),sk3))
        | ~ environment(X0)
        | ~ in_environment(X0,sk1(sk2(sk3),sk3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f208,plain,
    ( ! [X0] :
        ( ~ environment(X0)
        | ~ in_environment(X0,sk1(sk2(sk3),sk3))
        | ~ greater_or_equal(sk1(sk2(sk3),sk3),sk2(X0))
        | greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3)))
        | ~ stable(X0) )
    | ~ spl0_9 ),
    inference(duplicate_literal_removal,[],[f207]) ).

fof(f207,plain,
    ( ! [X0] :
        ( ~ environment(X0)
        | ~ in_environment(X0,sk1(sk2(sk3),sk3))
        | ~ greater_or_equal(sk1(sk2(sk3),sk3),sk2(X0))
        | greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3)))
        | ~ stable(X0)
        | ~ environment(X0) )
    | ~ spl0_9 ),
    inference(resolution,[],[f102,f13]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ greater_or_equal(X1,sk2(X0))
      | greater(zero,growth_rate(first_movers,X1))
      | ~ stable(X0)
      | ~ environment(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.5huA41MTOJ/Vampire---4.8_18021',l10_36) ).

fof(f102,plain,
    ( ! [X0] :
        ( subpopulations(first_movers,efficient_producers,X0,sk1(sk2(sk3),sk3))
        | ~ environment(X0)
        | ~ in_environment(X0,sk1(sk2(sk3),sk3)) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f185,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_2
    | ~ spl0_3
    | spl0_1
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f172,f130,f23,f31,f27,f117,f113]) ).

fof(f117,plain,
    ( spl0_12
  <=> greater(sk1(sk2(sk3),sk3),sk2(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f172,plain,
    ( ~ stable(sk3)
    | ~ environment(sk3)
    | greater(sk1(sk2(sk3),sk3),sk2(sk3))
    | sk2(sk3) = sk1(sk2(sk3),sk3)
    | spl0_1
    | ~ spl0_13 ),
    inference(resolution,[],[f131,f109]) ).

fof(f109,plain,
    ( ! [X0] :
        ( ~ in_environment(X0,sk2(sk3))
        | ~ stable(X0)
        | ~ environment(X0)
        | greater(sk1(sk2(sk3),X0),sk2(sk3))
        | sk2(sk3) = sk1(sk2(sk3),X0) )
    | spl0_1 ),
    inference(resolution,[],[f63,f25]) ).

fof(f25,plain,
    ( ~ contracts_from(sk2(sk3),first_movers)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f23]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( contracts_from(X0,first_movers)
      | ~ in_environment(X1,X0)
      | ~ stable(X1)
      | ~ environment(X1)
      | greater(sk1(X0,X1),X0)
      | sk1(X0,X1) = X0 ),
    inference(resolution,[],[f2,f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ~ greater_or_equal(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.5huA41MTOJ/Vampire---4.8_18021',mp_greater_or_equal_31) ).

fof(f131,plain,
    ( in_environment(sk3,sk2(sk3))
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f184,plain,
    ( ~ spl0_13
    | ~ spl0_11
    | spl0_15 ),
    inference(avatar_split_clause,[],[f180,f148,f113,f130]) ).

fof(f180,plain,
    ( ~ in_environment(sk3,sk2(sk3))
    | ~ spl0_11
    | spl0_15 ),
    inference(superposition,[],[f150,f115]) ).

fof(f150,plain,
    ( ~ in_environment(sk3,sk1(sk2(sk3),sk3))
    | spl0_15 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f171,plain,
    ( ~ spl0_8
    | ~ spl0_3
    | ~ spl0_2
    | ~ spl0_6
    | spl0_13 ),
    inference(avatar_split_clause,[],[f170,f130,f79,f27,f31,f89]) ).

fof(f89,plain,
    ( spl0_8
  <=> in_environment(sk3,appear(efficient_producers,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f79,plain,
    ( spl0_6
  <=> ! [X0] :
        ( ~ in_environment(sk3,appear(efficient_producers,X0))
        | ~ environment(X0)
        | ~ stable(X0)
        | in_environment(sk3,sk2(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f170,plain,
    ( ~ environment(sk3)
    | ~ stable(sk3)
    | ~ in_environment(sk3,appear(efficient_producers,sk3))
    | ~ spl0_6
    | spl0_13 ),
    inference(resolution,[],[f132,f80]) ).

fof(f80,plain,
    ( ! [X0] :
        ( in_environment(sk3,sk2(X0))
        | ~ environment(X0)
        | ~ stable(X0)
        | ~ in_environment(sk3,appear(efficient_producers,X0)) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f132,plain,
    ( ~ in_environment(sk3,sk2(sk3))
    | spl0_13 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f169,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_13
    | ~ spl0_12
    | spl0_15 ),
    inference(avatar_split_clause,[],[f168,f148,f117,f130,f31,f27]) ).

fof(f168,plain,
    ( ~ in_environment(sk3,sk2(sk3))
    | ~ stable(sk3)
    | ~ environment(sk3)
    | ~ spl0_12
    | spl0_15 ),
    inference(resolution,[],[f144,f150]) ).

fof(f144,plain,
    ( ! [X0] :
        ( in_environment(X0,sk1(sk2(sk3),sk3))
        | ~ in_environment(X0,sk2(sk3))
        | ~ stable(X0)
        | ~ environment(X0) )
    | ~ spl0_12 ),
    inference(resolution,[],[f119,f5]) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( ~ greater(X2,X1)
      | in_environment(X0,X2)
      | ~ in_environment(X0,X1)
      | ~ stable(X0)
      | ~ environment(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.5huA41MTOJ/Vampire---4.8_18021',mp_long_stable_environments_28) ).

fof(f119,plain,
    ( greater(sk1(sk2(sk3),sk3),sk2(sk3))
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f151,plain,
    ( ~ spl0_15
    | ~ spl0_3
    | ~ spl0_2
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f138,f117,f104,f27,f31,f148]) ).

fof(f138,plain,
    ( ~ environment(sk3)
    | ~ stable(sk3)
    | ~ in_environment(sk3,sk1(sk2(sk3),sk3))
    | spl0_10
    | ~ spl0_12 ),
    inference(resolution,[],[f119,f108]) ).

fof(f108,plain,
    ( ! [X0] :
        ( ~ greater(sk1(sk2(sk3),sk3),sk2(X0))
        | ~ environment(X0)
        | ~ stable(X0)
        | ~ in_environment(X0,sk1(sk2(sk3),sk3)) )
    | spl0_10 ),
    inference(resolution,[],[f106,f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( greater(cardinality_at_time(efficient_producers,X0),zero)
      | ~ in_environment(X1,X0)
      | ~ environment(X1)
      | ~ stable(X1)
      | ~ greater(X0,sk2(X1)) ),
    inference(duplicate_literal_removal,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( greater(cardinality_at_time(efficient_producers,X0),zero)
      | ~ in_environment(X1,X0)
      | ~ environment(X1)
      | ~ stable(X1)
      | ~ greater(X0,sk2(X1))
      | ~ environment(X1) ),
    inference(resolution,[],[f11,f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( greater_or_equal(X1,appear(efficient_producers,X0))
      | ~ stable(X0)
      | ~ greater(X1,sk2(X0))
      | ~ environment(X0) ),
    inference(resolution,[],[f20,f9]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( greater(X1,appear(efficient_producers,X0))
      | ~ environment(X0)
      | ~ stable(X0)
      | ~ greater(X1,sk2(X0)) ),
    inference(resolution,[],[f12,f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( ~ greater(X1,X2)
      | greater(X0,X2)
      | ~ greater(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.5huA41MTOJ/Vampire---4.8_18021',mp_greater_transitivity_30) ).

fof(f107,plain,
    ( spl0_9
    | ~ spl0_10
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f99,f85,f104,f101]) ).

fof(f85,plain,
    ( spl0_7
  <=> greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f99,plain,
    ( ! [X0] :
        ( ~ greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)
        | subpopulations(first_movers,efficient_producers,X0,sk1(sk2(sk3),sk3))
        | ~ in_environment(X0,sk1(sk2(sk3),sk3))
        | ~ environment(X0) )
    | ~ spl0_7 ),
    inference(resolution,[],[f4,f87]) ).

fof(f87,plain,
    ( greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ~ greater(cardinality_at_time(first_movers,X1),zero)
      | ~ greater(cardinality_at_time(efficient_producers,X1),zero)
      | subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.5huA41MTOJ/Vampire---4.8_18021',mp_non_empty_fm_and_ep_27) ).

fof(f94,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f93,f89,f31,f27]) ).

fof(f93,plain,
    ( ~ stable(sk3)
    | ~ environment(sk3)
    | spl0_8 ),
    inference(resolution,[],[f91,f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( in_environment(X0,appear(efficient_producers,X0))
      | ~ stable(X0)
      | ~ environment(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.5huA41MTOJ/Vampire---4.8_18021',mp_EP_in_stable_environments_29) ).

fof(f91,plain,
    ( ~ in_environment(sk3,appear(efficient_producers,sk3))
    | spl0_8 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f92,plain,
    ( spl0_7
    | ~ spl0_8
    | ~ spl0_3
    | ~ spl0_2
    | spl0_1
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f83,f79,f23,f27,f31,f89,f85]) ).

fof(f83,plain,
    ( ~ environment(sk3)
    | ~ stable(sk3)
    | ~ in_environment(sk3,appear(efficient_producers,sk3))
    | greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
    | spl0_1
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f82]) ).

fof(f82,plain,
    ( ~ environment(sk3)
    | ~ stable(sk3)
    | ~ in_environment(sk3,appear(efficient_producers,sk3))
    | greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
    | ~ stable(sk3)
    | ~ environment(sk3)
    | spl0_1
    | ~ spl0_6 ),
    inference(resolution,[],[f80,f76]) ).

fof(f76,plain,
    ( ! [X0] :
        ( ~ in_environment(X0,sk2(sk3))
        | greater(cardinality_at_time(first_movers,sk1(sk2(sk3),X0)),zero)
        | ~ stable(X0)
        | ~ environment(X0) )
    | spl0_1 ),
    inference(resolution,[],[f1,f25]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( contracts_from(X1,first_movers)
      | greater(cardinality_at_time(first_movers,sk1(X1,X0)),zero)
      | ~ in_environment(X0,X1)
      | ~ stable(X0)
      | ~ environment(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.5huA41MTOJ/Vampire---4.8_18021',mp_contracts_from_24) ).

fof(f81,plain,
    ( ~ spl0_2
    | spl0_6 ),
    inference(avatar_split_clause,[],[f77,f79,f27]) ).

fof(f77,plain,
    ! [X0] :
      ( ~ in_environment(sk3,appear(efficient_producers,X0))
      | in_environment(sk3,sk2(X0))
      | ~ environment(sk3)
      | ~ stable(X0)
      | ~ environment(X0) ),
    inference(resolution,[],[f40,f15]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ~ stable(X0)
      | ~ in_environment(X0,appear(efficient_producers,X1))
      | in_environment(X0,sk2(X1))
      | ~ environment(X0)
      | ~ stable(X1)
      | ~ environment(X1) ),
    inference(resolution,[],[f5,f12]) ).

fof(f38,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f37]) ).

fof(f37,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f33,f15]) ).

fof(f33,plain,
    ( ~ stable(sk3)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f36,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f35]) ).

fof(f35,plain,
    ( $false
    | spl0_2 ),
    inference(resolution,[],[f29,f14]) ).

fof(f14,axiom,
    environment(sk3),
    file('/export/starexec/sandbox/tmp/tmp.5huA41MTOJ/Vampire---4.8_18021',prove_l9_37) ).

fof(f29,plain,
    ( ~ environment(sk3)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f34,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f19,f31,f27,f23]) ).

fof(f19,plain,
    ( ~ stable(sk3)
    | ~ environment(sk3)
    | ~ contracts_from(sk2(sk3),first_movers) ),
    inference(resolution,[],[f12,f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( ~ greater(X0,appear(efficient_producers,sk3))
      | ~ contracts_from(X0,first_movers) ),
    file('/export/starexec/sandbox/tmp/tmp.5huA41MTOJ/Vampire---4.8_18021',prove_l9_39) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : MGT027-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n007.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 20:03:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.22/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.5huA41MTOJ/Vampire---4.8_18021
% 0.57/0.75  % (18417)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)
% 0.57/0.75  % (18410)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)
% 0.57/0.75  % (18412)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (18411)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)
% 0.57/0.75  % (18415)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)
% 0.57/0.75  % (18413)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)
% 0.57/0.75  % (18414)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)
% 0.57/0.75  % (18416)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)
% 0.60/0.76  % (18416)Refutation not found, incomplete strategy% (18416)------------------------------
% 0.60/0.76  % (18416)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (18416)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (18416)Memory used [KB]: 1071
% 0.60/0.76  % (18416)Time elapsed: 0.006 s
% 0.60/0.76  % (18416)Instructions burned: 7 (million)
% 0.60/0.76  % (18416)------------------------------
% 0.60/0.76  % (18416)------------------------------
% 0.60/0.76  % (18411)First to succeed.
% 0.60/0.76  % (18411)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18270"
% 0.60/0.76  % (18411)Refutation found. Thanks to Tanya!
% 0.60/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76  % (18411)------------------------------
% 0.60/0.76  % (18411)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (18411)Termination reason: Refutation
% 0.60/0.76  
% 0.60/0.76  % (18411)Memory used [KB]: 1112
% 0.60/0.76  % (18411)Time elapsed: 0.011 s
% 0.60/0.76  % (18411)Instructions burned: 12 (million)
% 0.60/0.76  % (18270)Success in time 0.383 s
% 0.60/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------