TSTP Solution File: MGT036+2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : MGT036+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n028.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 07:57:57 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   80 (  13 unt;   0 def)
%            Number of atoms       :  238 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  281 ( 123   ~; 101   |;  34   &)
%                                         (  13 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   8 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :  143 ( 137   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f136,plain,
    $false,
    inference(avatar_sat_refutation,[],[f49,f61,f77,f94,f125,f126,f128,f135]) ).

fof(f135,plain,
    ~ spl2_3,
    inference(avatar_contradiction_clause,[],[f134]) ).

fof(f134,plain,
    ( $false
    | ~ spl2_3 ),
    inference(resolution,[],[f72,f53]) ).

fof(f53,plain,
    subpopulations(efficient_producers,first_movers,sK0,sK1),
    inference(resolution,[],[f52,f30]) ).

fof(f30,plain,
    subpopulations(first_movers,efficient_producers,sK0,sK1),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ( outcompetes(first_movers,efficient_producers,sK1)
    & subpopulations(first_movers,efficient_producers,sK0,sK1)
    & environment(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f12,f23]) ).

fof(f23,plain,
    ( ? [X0,X1] :
        ( outcompetes(first_movers,efficient_producers,X1)
        & subpopulations(first_movers,efficient_producers,X0,X1)
        & environment(X0) )
   => ( outcompetes(first_movers,efficient_producers,sK1)
      & subpopulations(first_movers,efficient_producers,sK0,sK1)
      & environment(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f12,plain,
    ? [X0,X1] :
      ( outcompetes(first_movers,efficient_producers,X1)
      & subpopulations(first_movers,efficient_producers,X0,X1)
      & environment(X0) ),
    inference(flattening,[],[f11]) ).

fof(f11,plain,
    ? [X0,X1] :
      ( outcompetes(first_movers,efficient_producers,X1)
      & subpopulations(first_movers,efficient_producers,X0,X1)
      & environment(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,plain,
    ~ ! [X0,X1] :
        ( ( subpopulations(first_movers,efficient_producers,X0,X1)
          & environment(X0) )
       => ~ outcompetes(first_movers,efficient_producers,X1) ),
    inference(rectify,[],[f8]) ).

fof(f8,negated_conjecture,
    ~ ! [X0,X3] :
        ( ( subpopulations(first_movers,efficient_producers,X0,X3)
          & environment(X0) )
       => ~ outcompetes(first_movers,efficient_producers,X3) ),
    inference(negated_conjecture,[],[f7]) ).

fof(f7,conjecture,
    ! [X0,X3] :
      ( ( subpopulations(first_movers,efficient_producers,X0,X3)
        & environment(X0) )
     => ~ outcompetes(first_movers,efficient_producers,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t5) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( ~ subpopulations(X0,X1,sK0,X2)
      | subpopulations(X1,X0,sK0,X2) ),
    inference(resolution,[],[f38,f29]) ).

fof(f29,plain,
    environment(sK0),
    inference(cnf_transformation,[],[f24]) ).

fof(f38,plain,
    ! [X2,X3,X0,X1] :
      ( ~ environment(X0)
      | ~ subpopulations(X1,X2,X0,X3)
      | subpopulations(X2,X1,X0,X3) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1,X2,X3] :
      ( subpopulations(X2,X1,X0,X3)
      | ~ subpopulations(X1,X2,X0,X3)
      | ~ environment(X0) ),
    inference(flattening,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1,X2,X3] :
      ( subpopulations(X2,X1,X0,X3)
      | ~ subpopulations(X1,X2,X0,X3)
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1,X2,X3] :
      ( ( subpopulations(X1,X2,X0,X3)
        & environment(X0) )
     => subpopulations(X2,X1,X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations) ).

fof(f72,plain,
    ( ! [X0] : ~ subpopulations(efficient_producers,first_movers,X0,sK1)
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f71,plain,
    ( spl2_3
  <=> ! [X0] : ~ subpopulations(efficient_producers,first_movers,X0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f128,plain,
    ~ spl2_7,
    inference(avatar_contradiction_clause,[],[f127]) ).

fof(f127,plain,
    ( $false
    | ~ spl2_7 ),
    inference(resolution,[],[f124,f51]) ).

fof(f51,plain,
    in_environment(sK0,sK1),
    inference(resolution,[],[f50,f30]) ).

fof(f50,plain,
    ! [X0] :
      ( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
      | in_environment(sK0,X0) ),
    inference(resolution,[],[f37,f29]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ environment(X0)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | in_environment(X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( in_environment(X0,X1)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(flattening,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( in_environment(X0,X1)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ( subpopulations(first_movers,efficient_producers,X0,X1)
        & environment(X0) )
     => in_environment(X0,X1) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X3] :
      ( ( subpopulations(first_movers,efficient_producers,X0,X3)
        & environment(X0) )
     => in_environment(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occur) ).

fof(f124,plain,
    ( ! [X0] : ~ in_environment(X0,sK1)
    | ~ spl2_7 ),
    inference(avatar_component_clause,[],[f123]) ).

fof(f123,plain,
    ( spl2_7
  <=> ! [X0] : ~ in_environment(X0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).

fof(f126,plain,
    spl2_6,
    inference(avatar_split_clause,[],[f119,f88]) ).

fof(f88,plain,
    ( spl2_6
  <=> greater_or_equal(growth_rate(first_movers,sK1),zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f119,plain,
    greater_or_equal(growth_rate(first_movers,sK1),zero),
    inference(subsumption_resolution,[],[f118,f53]) ).

fof(f118,plain,
    ( ~ subpopulations(efficient_producers,first_movers,sK0,sK1)
    | greater_or_equal(growth_rate(first_movers,sK1),zero) ),
    inference(resolution,[],[f54,f31]) ).

fof(f31,plain,
    outcompetes(first_movers,efficient_producers,sK1),
    inference(cnf_transformation,[],[f24]) ).

fof(f54,plain,
    ! [X2,X0,X1] :
      ( ~ outcompetes(X0,X1,X2)
      | ~ subpopulations(X1,X0,sK0,X2)
      | greater_or_equal(growth_rate(X0,X2),zero) ),
    inference(resolution,[],[f35,f29]) ).

fof(f35,plain,
    ! [X2,X3,X0,X1] :
      ( ~ environment(X0)
      | ~ outcompetes(X2,X1,X3)
      | ~ subpopulations(X1,X2,X0,X3)
      | greater_or_equal(growth_rate(X2,X3),zero) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( ( greater(zero,growth_rate(X1,X3))
            & greater_or_equal(growth_rate(X2,X3),zero) )
          | ~ outcompetes(X2,X1,X3) )
        & ( outcompetes(X2,X1,X3)
          | ~ greater(zero,growth_rate(X1,X3))
          | ~ greater_or_equal(growth_rate(X2,X3),zero) ) )
      | ~ subpopulations(X1,X2,X0,X3)
      | ~ environment(X0) ),
    inference(flattening,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( ( greater(zero,growth_rate(X1,X3))
            & greater_or_equal(growth_rate(X2,X3),zero) )
          | ~ outcompetes(X2,X1,X3) )
        & ( outcompetes(X2,X1,X3)
          | ~ greater(zero,growth_rate(X1,X3))
          | ~ greater_or_equal(growth_rate(X2,X3),zero) ) )
      | ~ subpopulations(X1,X2,X0,X3)
      | ~ environment(X0) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( greater(zero,growth_rate(X1,X3))
          & greater_or_equal(growth_rate(X2,X3),zero) )
      <=> outcompetes(X2,X1,X3) )
      | ~ subpopulations(X1,X2,X0,X3)
      | ~ environment(X0) ),
    inference(flattening,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( greater(zero,growth_rate(X1,X3))
          & greater_or_equal(growth_rate(X2,X3),zero) )
      <=> outcompetes(X2,X1,X3) )
      | ~ subpopulations(X1,X2,X0,X3)
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1,X2,X3] :
      ( ( subpopulations(X1,X2,X0,X3)
        & environment(X0) )
     => ( ( greater(zero,growth_rate(X1,X3))
          & greater_or_equal(growth_rate(X2,X3),zero) )
      <=> outcompetes(X2,X1,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).

fof(f125,plain,
    ( spl2_7
    | spl2_5
    | ~ spl2_1
    | ~ spl2_4 ),
    inference(avatar_split_clause,[],[f112,f74,f44,f84,f123]) ).

fof(f84,plain,
    ( spl2_5
  <=> greater(zero,growth_rate(first_movers,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f44,plain,
    ( spl2_1
  <=> ! [X0] : environment(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f74,plain,
    ( spl2_4
  <=> greater(zero,growth_rate(efficient_producers,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f112,plain,
    ( ! [X0] :
        ( greater(zero,growth_rate(first_movers,sK1))
        | ~ in_environment(X0,sK1) )
    | ~ spl2_1
    | ~ spl2_4 ),
    inference(resolution,[],[f96,f76]) ).

fof(f76,plain,
    ( greater(zero,growth_rate(efficient_producers,sK1))
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f96,plain,
    ( ! [X0,X1] :
        ( ~ greater(zero,growth_rate(efficient_producers,X0))
        | greater(zero,growth_rate(first_movers,X0))
        | ~ in_environment(X1,X0) )
    | ~ spl2_1 ),
    inference(resolution,[],[f95,f32]) ).

fof(f32,plain,
    greater(resilience(efficient_producers),resilience(first_movers)),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    greater(resilience(efficient_producers),resilience(first_movers)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).

fof(f95,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(resilience(X2),resilience(X1))
        | ~ greater(zero,growth_rate(X2,X3))
        | greater(zero,growth_rate(X1,X3))
        | ~ in_environment(X0,X3) )
    | ~ spl2_1 ),
    inference(subsumption_resolution,[],[f33,f45]) ).

fof(f45,plain,
    ( ! [X0] : environment(X0)
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f33,plain,
    ! [X2,X3,X0,X1] :
      ( ~ greater(zero,growth_rate(X2,X3))
      | ~ greater(resilience(X2),resilience(X1))
      | greater(zero,growth_rate(X1,X3))
      | ~ in_environment(X0,X3)
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1,X2,X3] :
      ( ~ greater(zero,growth_rate(X2,X3))
      | ~ greater(resilience(X2),resilience(X1))
      | greater(zero,growth_rate(X1,X3))
      | ~ in_environment(X0,X3)
      | ~ environment(X0) ),
    inference(flattening,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1,X2,X3] :
      ( ~ greater(zero,growth_rate(X2,X3))
      | ~ greater(resilience(X2),resilience(X1))
      | greater(zero,growth_rate(X1,X3))
      | ~ in_environment(X0,X3)
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1,X2,X3] :
      ( ( greater(resilience(X2),resilience(X1))
        & ~ greater(zero,growth_rate(X1,X3))
        & in_environment(X0,X3)
        & environment(X0) )
     => ~ greater(zero,growth_rate(X2,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13) ).

fof(f94,plain,
    ( ~ spl2_6
    | ~ spl2_5 ),
    inference(avatar_split_clause,[],[f92,f84,f88]) ).

fof(f92,plain,
    ( ~ greater_or_equal(growth_rate(first_movers,sK1),zero)
    | ~ spl2_5 ),
    inference(resolution,[],[f86,f41]) ).

fof(f41,plain,
    ! [X3,X1] :
      ( ~ greater(zero,growth_rate(X1,X3))
      | ~ greater_or_equal(growth_rate(X1,X3),zero) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1,X2,X3] :
      ( ( greater_or_equal(growth_rate(X1,X3),zero)
        | ~ subpopulations(X1,X2,X0,X3)
        | ~ environment(X0)
        | greater(zero,growth_rate(X1,X3)) )
      & ( ~ greater(zero,growth_rate(X1,X3))
        | ( ~ greater_or_equal(growth_rate(X1,X3),zero)
          & subpopulations(X1,X2,X0,X3)
          & environment(X0) ) ) ),
    inference(flattening,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1,X2,X3] :
      ( ( greater_or_equal(growth_rate(X1,X3),zero)
        | ~ subpopulations(X1,X2,X0,X3)
        | ~ environment(X0)
        | greater(zero,growth_rate(X1,X3)) )
      & ( ~ greater(zero,growth_rate(X1,X3))
        | ( ~ greater_or_equal(growth_rate(X1,X3),zero)
          & subpopulations(X1,X2,X0,X3)
          & environment(X0) ) ) ),
    inference(nnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1,X2,X3] :
      ( ( greater_or_equal(growth_rate(X1,X3),zero)
        | ~ subpopulations(X1,X2,X0,X3)
        | ~ environment(X0) )
    <=> ~ greater(zero,growth_rate(X1,X3)) ),
    inference(flattening,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1,X2,X3] :
      ( ( greater_or_equal(growth_rate(X1,X3),zero)
        | ~ subpopulations(X1,X2,X0,X3)
        | ~ environment(X0) )
    <=> ~ greater(zero,growth_rate(X1,X3)) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( ( ( subpopulations(X1,X2,X0,X3)
          & environment(X0) )
       => greater_or_equal(growth_rate(X1,X3),zero) )
    <=> ~ greater(zero,growth_rate(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_relationships) ).

fof(f86,plain,
    ( greater(zero,growth_rate(first_movers,sK1))
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f77,plain,
    ( spl2_3
    | spl2_4
    | ~ spl2_1 ),
    inference(avatar_split_clause,[],[f69,f44,f74,f71]) ).

fof(f69,plain,
    ( ! [X0] :
        ( greater(zero,growth_rate(efficient_producers,sK1))
        | ~ subpopulations(efficient_producers,first_movers,X0,sK1) )
    | ~ spl2_1 ),
    inference(resolution,[],[f68,f31]) ).

fof(f68,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ outcompetes(X2,X1,X3)
        | greater(zero,growth_rate(X1,X3))
        | ~ subpopulations(X1,X2,X0,X3) )
    | ~ spl2_1 ),
    inference(subsumption_resolution,[],[f36,f45]) ).

fof(f36,plain,
    ! [X2,X3,X0,X1] :
      ( greater(zero,growth_rate(X1,X3))
      | ~ outcompetes(X2,X1,X3)
      | ~ subpopulations(X1,X2,X0,X3)
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f61,plain,
    ~ spl2_2,
    inference(avatar_contradiction_clause,[],[f60]) ).

fof(f60,plain,
    ( $false
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f59,f53]) ).

fof(f59,plain,
    ( ~ subpopulations(efficient_producers,first_movers,sK0,sK1)
    | ~ spl2_2 ),
    inference(resolution,[],[f57,f31]) ).

fof(f57,plain,
    ( ! [X2,X0,X1] :
        ( ~ outcompetes(X1,X0,X2)
        | ~ subpopulations(X0,X1,sK0,X2) )
    | ~ spl2_2 ),
    inference(resolution,[],[f56,f29]) ).

fof(f56,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ environment(X0)
        | ~ subpopulations(X1,X2,X0,X3)
        | ~ outcompetes(X2,X1,X3) )
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f36,f48]) ).

fof(f48,plain,
    ( ! [X3,X1] : ~ greater(zero,growth_rate(X1,X3))
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f47,plain,
    ( spl2_2
  <=> ! [X1,X3] : ~ greater(zero,growth_rate(X1,X3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f49,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f39,f47,f44]) ).

fof(f39,plain,
    ! [X3,X0,X1] :
      ( ~ greater(zero,growth_rate(X1,X3))
      | environment(X0) ),
    inference(cnf_transformation,[],[f28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : MGT036+2 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n028.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 20:04:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (31616)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (31618)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (31619)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (31621)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37  % (31624)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (31620)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.37  % (31625)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (31623)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  TRYING [1]
% 0.14/0.37  Detected minimum model sizes of [1,1,1,1]
% 0.14/0.37  Detected maximum model sizes of [2,max,1,1]
% 0.14/0.37  Detected minimum model sizes of [1,1,1,1]
% 0.14/0.37  Detected maximum model sizes of [2,max,1,1]
% 0.14/0.37  TRYING [1,1,1,1]
% 0.14/0.37  TRYING [1,1,1,1]
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [1,2,1,1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [2,2,1,1]
% 0.14/0.37  % (31624)First to succeed.
% 0.14/0.37  TRYING [1,2,1,1]
% 0.14/0.37  TRYING [2,2,1,1]
% 0.14/0.37  TRYING [3]
% 0.14/0.37  TRYING [1,3,1,1]
% 0.14/0.37  TRYING [3]
% 0.14/0.37  % (31623)Also succeeded, but the first one will report.
% 0.14/0.37  % (31620)Also succeeded, but the first one will report.
% 0.14/0.37  % (31624)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31616"
% 0.14/0.37  TRYING [2,3,1,1]
% 0.14/0.37  TRYING [1,3,1,1]
% 0.14/0.38  TRYING [2,3,1,1]
% 0.14/0.38  % (31624)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Theorem for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (31624)------------------------------
% 0.14/0.38  % (31624)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (31624)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (31624)Memory used [KB]: 777
% 0.14/0.38  % (31624)Time elapsed: 0.006 s
% 0.14/0.38  % (31624)Instructions burned: 7 (million)
% 0.14/0.38  % (31616)Success in time 0.022 s
%------------------------------------------------------------------------------