TSTP Solution File: MGT036+3 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : MGT036+3 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n025.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  : 600s
% DateTime : Sun Jul 17 22:17:25 EDT 2022

% Result   : Theorem 0.20s 0.42s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  101 (  57 unt;  11 typ;   0 def)
%            Number of atoms       :  674 ( 149 equ;   0 cnn)
%            Maximal formula atoms :    5 (   7 avg)
%            Number of connectives : 1698 ( 278   ~; 250   |;  30   &;1134   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   7 con; 0-4 aty)
%            Number of variables   :  280 (   0   ^ 268   !;  12   ?; 280   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_efficient_producers,type,
    efficient_producers: $i ).

thf(tp_environment,type,
    environment: $i > $o ).

thf(tp_first_movers,type,
    first_movers: $i ).

thf(tp_greater,type,
    greater: $i > $i > $o ).

thf(tp_greater_or_equal,type,
    greater_or_equal: $i > $i > $o ).

thf(tp_growth_rate,type,
    growth_rate: $i > $i > $i ).

thf(tp_outcompetes,type,
    outcompetes: $i > $i > $i > $o ).

thf(tp_sK1_E,type,
    sK1_E: $i ).

thf(tp_sK2_SY12,type,
    sK2_SY12: $i ).

thf(tp_subpopulations,type,
    subpopulations: $i > $i > $i > $i > $o ).

thf(tp_zero,type,
    zero: $i ).

thf(1,axiom,
    ! [E: $i,S1: $i,S2: $i,T: $i] :
      ( ( ( environment @ E )
        & ( subpopulations @ S1 @ S2 @ E @ T ) )
     => ( subpopulations @ S2 @ S1 @ E @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations) ).

thf(2,axiom,
    ? [E: $i,T: $i] :
      ( ( environment @ E )
      & ( subpopulations @ first_movers @ efficient_producers @ E @ T )
      & ( greater_or_equal @ ( growth_rate @ first_movers @ T ) @ zero )
      & ( greater @ zero @ ( growth_rate @ efficient_producers @ T ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13_star) ).

thf(3,axiom,
    ! [E: $i,S1: $i,S2: $i,T: $i] :
      ( ( ( environment @ E )
        & ( subpopulations @ S1 @ S2 @ E @ T ) )
     => ( ( ( greater_or_equal @ ( growth_rate @ S2 @ T ) @ zero )
          & ( greater @ zero @ ( growth_rate @ S1 @ T ) ) )
      <=> ( outcompetes @ S2 @ S1 @ T ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).

thf(4,conjecture,
    ? [E: $i,T: $i] :
      ( ( environment @ E )
      & ( subpopulations @ first_movers @ efficient_producers @ E @ T )
      & ( outcompetes @ first_movers @ efficient_producers @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t5_star) ).

thf(5,negated_conjecture,
    ( ( ? [E: $i,T: $i] :
          ( ( environment @ E )
          & ( subpopulations @ first_movers @ efficient_producers @ E @ T )
          & ( outcompetes @ first_movers @ efficient_producers @ T ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[4]) ).

thf(6,plain,
    ( ( ? [E: $i,T: $i] :
          ( ( environment @ E )
          & ( subpopulations @ first_movers @ efficient_producers @ E @ T )
          & ( outcompetes @ first_movers @ efficient_producers @ T ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(7,plain,
    ( ( ! [E: $i,S1: $i,S2: $i,T: $i] :
          ( ( ( environment @ E )
            & ( subpopulations @ S1 @ S2 @ E @ T ) )
         => ( subpopulations @ S2 @ S1 @ E @ T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(8,plain,
    ( ( ? [E: $i,T: $i] :
          ( ( environment @ E )
          & ( subpopulations @ first_movers @ efficient_producers @ E @ T )
          & ( greater_or_equal @ ( growth_rate @ first_movers @ T ) @ zero )
          & ( greater @ zero @ ( growth_rate @ efficient_producers @ T ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(9,plain,
    ( ( ! [E: $i,S1: $i,S2: $i,T: $i] :
          ( ( ( environment @ E )
            & ( subpopulations @ S1 @ S2 @ E @ T ) )
         => ( ( ( greater_or_equal @ ( growth_rate @ S2 @ T ) @ zero )
              & ( greater @ zero @ ( growth_rate @ S1 @ T ) ) )
          <=> ( outcompetes @ S2 @ S1 @ T ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(10,plain,
    ( ( ~ ? [E: $i,T: $i] :
            ( ( environment @ E )
            & ( subpopulations @ first_movers @ efficient_producers @ E @ T )
            & ( outcompetes @ first_movers @ efficient_producers @ T ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[6]) ).

thf(11,plain,
    ( ( ! [E: $i,T: $i] :
          ( ~ ( environment @ E )
          | ~ ( subpopulations @ first_movers @ efficient_producers @ E @ T )
          | ~ ( outcompetes @ first_movers @ efficient_producers @ T ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[10]) ).

thf(12,plain,
    ( ( ! [E: $i,S1: $i,S2: $i,T: $i] :
          ( ~ ( environment @ E )
          | ~ ( subpopulations @ S1 @ S2 @ E @ T )
          | ( subpopulations @ S2 @ S1 @ E @ T ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[7]) ).

thf(13,plain,
    ( ( ( environment @ sK1_E )
      & ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ sK2_SY12 )
      & ( greater_or_equal @ ( growth_rate @ first_movers @ sK2_SY12 ) @ zero )
      & ( greater @ zero @ ( growth_rate @ efficient_producers @ sK2_SY12 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[8]) ).

thf(14,plain,
    ( ( ! [E: $i,S1: $i] :
          ( ! [S2: $i,T: $i] :
              ( ~ ( environment @ E )
              | ~ ( subpopulations @ S1 @ S2 @ E @ T )
              | ~ ( greater @ zero @ ( growth_rate @ S1 @ T ) )
              | ~ ( greater_or_equal @ ( growth_rate @ S2 @ T ) @ zero )
              | ( outcompetes @ S2 @ S1 @ T ) )
          & ! [S2: $i,T: $i] :
              ( ~ ( environment @ E )
              | ~ ( subpopulations @ S1 @ S2 @ E @ T )
              | ~ ( outcompetes @ S2 @ S1 @ T )
              | ( greater @ zero @ ( growth_rate @ S1 @ T ) ) )
          & ! [S2: $i,T: $i] :
              ( ~ ( environment @ E )
              | ~ ( subpopulations @ S1 @ S2 @ E @ T )
              | ~ ( outcompetes @ S2 @ S1 @ T )
              | ( greater_or_equal @ ( growth_rate @ S2 @ T ) @ zero ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[9]) ).

thf(15,plain,
    ( ( ! [E: $i,S1: $i] :
          ( ! [S2: $i,T: $i] :
              ( ~ ( environment @ E )
              | ~ ( subpopulations @ S1 @ S2 @ E @ T )
              | ~ ( greater @ zero @ ( growth_rate @ S1 @ T ) )
              | ~ ( greater_or_equal @ ( growth_rate @ S2 @ T ) @ zero )
              | ( outcompetes @ S2 @ S1 @ T ) )
          & ! [S2: $i,T: $i] :
              ( ~ ( environment @ E )
              | ~ ( subpopulations @ S1 @ S2 @ E @ T )
              | ~ ( outcompetes @ S2 @ S1 @ T )
              | ( greater @ zero @ ( growth_rate @ S1 @ T ) ) )
          & ! [S2: $i,T: $i] :
              ( ~ ( environment @ E )
              | ~ ( subpopulations @ S1 @ S2 @ E @ T )
              | ~ ( outcompetes @ S2 @ S1 @ T )
              | ( greater_or_equal @ ( growth_rate @ S2 @ T ) @ zero ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[14]) ).

thf(16,plain,
    ( ( ( environment @ sK1_E )
      & ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ sK2_SY12 )
      & ( greater_or_equal @ ( growth_rate @ first_movers @ sK2_SY12 ) @ zero )
      & ( greater @ zero @ ( growth_rate @ efficient_producers @ sK2_SY12 ) ) )
    = $true ),
    inference(copy,[status(thm)],[13]) ).

thf(17,plain,
    ( ( ! [E: $i,S1: $i,S2: $i,T: $i] :
          ( ~ ( environment @ E )
          | ~ ( subpopulations @ S1 @ S2 @ E @ T )
          | ( subpopulations @ S2 @ S1 @ E @ T ) ) )
    = $true ),
    inference(copy,[status(thm)],[12]) ).

thf(18,plain,
    ( ( ! [E: $i,T: $i] :
          ( ~ ( environment @ E )
          | ~ ( subpopulations @ first_movers @ efficient_producers @ E @ T )
          | ~ ( outcompetes @ first_movers @ efficient_producers @ T ) ) )
    = $true ),
    inference(copy,[status(thm)],[11]) ).

thf(19,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ! [SX2: $i,SX3: $i] :
                  ( ~ ( environment @ SX0 )
                  | ~ ( subpopulations @ SX1 @ SX2 @ SX0 @ SX3 )
                  | ~ ( greater @ zero @ ( growth_rate @ SX1 @ SX3 ) )
                  | ~ ( greater_or_equal @ ( growth_rate @ SX2 @ SX3 ) @ zero )
                  | ( outcompetes @ SX2 @ SX1 @ SX3 ) )
            | ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
                        ( ~ ( environment @ SX0 )
                        | ~ ( subpopulations @ SX1 @ SX2 @ SX0 @ SX3 )
                        | ~ ( outcompetes @ SX2 @ SX1 @ SX3 )
                        | ( greater @ zero @ ( growth_rate @ SX1 @ SX3 ) ) )
                  | ~ ! [SX2: $i,SX3: $i] :
                        ( ~ ( environment @ SX0 )
                        | ~ ( subpopulations @ SX1 @ SX2 @ SX0 @ SX3 )
                        | ~ ( outcompetes @ SX2 @ SX1 @ SX3 )
                        | ( greater_or_equal @ ( growth_rate @ SX2 @ SX3 ) @ zero ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(20,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( environment @ sK1_E )
                      | ~ ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ sK2_SY12 ) )
                | ~ ( greater_or_equal @ ( growth_rate @ first_movers @ sK2_SY12 ) @ zero ) )
          | ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sK2_SY12 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(21,plain,
    ! [SV1: $i] :
      ( ( ! [SY13: $i,SY14: $i,SY15: $i] :
            ( ~ ( environment @ SV1 )
            | ~ ( subpopulations @ SY13 @ SY14 @ SV1 @ SY15 )
            | ( subpopulations @ SY14 @ SY13 @ SV1 @ SY15 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[17]) ).

thf(22,plain,
    ! [SV2: $i] :
      ( ( ! [SY16: $i] :
            ( ~ ( environment @ SV2 )
            | ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SY16 )
            | ~ ( outcompetes @ first_movers @ efficient_producers @ SY16 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[18]) ).

thf(23,plain,
    ! [SV3: $i] :
      ( ( ! [SY17: $i] :
            ~ ( ~ ! [SY18: $i,SY19: $i] :
                    ( ~ ( environment @ SV3 )
                    | ~ ( subpopulations @ SY17 @ SY18 @ SV3 @ SY19 )
                    | ~ ( greater @ zero @ ( growth_rate @ SY17 @ SY19 ) )
                    | ~ ( greater_or_equal @ ( growth_rate @ SY18 @ SY19 ) @ zero )
                    | ( outcompetes @ SY18 @ SY17 @ SY19 ) )
              | ~ ~ ( ~ ! [SY20: $i,SY21: $i] :
                          ( ~ ( environment @ SV3 )
                          | ~ ( subpopulations @ SY17 @ SY20 @ SV3 @ SY21 )
                          | ~ ( outcompetes @ SY20 @ SY17 @ SY21 )
                          | ( greater @ zero @ ( growth_rate @ SY17 @ SY21 ) ) )
                    | ~ ! [SY22: $i,SY23: $i] :
                          ( ~ ( environment @ SV3 )
                          | ~ ( subpopulations @ SY17 @ SY22 @ SV3 @ SY23 )
                          | ~ ( outcompetes @ SY22 @ SY17 @ SY23 )
                          | ( greater_or_equal @ ( growth_rate @ SY22 @ SY23 ) @ zero ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[19]) ).

thf(24,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( environment @ sK1_E )
                  | ~ ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ sK2_SY12 ) )
            | ~ ( greater_or_equal @ ( growth_rate @ first_movers @ sK2_SY12 ) @ zero ) )
      | ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sK2_SY12 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[20]) ).

thf(25,plain,
    ! [SV4: $i,SV1: $i] :
      ( ( ! [SY24: $i,SY25: $i] :
            ( ~ ( environment @ SV1 )
            | ~ ( subpopulations @ SV4 @ SY24 @ SV1 @ SY25 )
            | ( subpopulations @ SY24 @ SV4 @ SV1 @ SY25 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[21]) ).

thf(26,plain,
    ! [SV5: $i,SV2: $i] :
      ( ( ~ ( environment @ SV2 )
        | ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV5 )
        | ~ ( outcompetes @ first_movers @ efficient_producers @ SV5 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[22]) ).

thf(27,plain,
    ! [SV6: $i,SV3: $i] :
      ( ( ~ ( ~ ! [SY26: $i,SY27: $i] :
                  ( ~ ( environment @ SV3 )
                  | ~ ( subpopulations @ SV6 @ SY26 @ SV3 @ SY27 )
                  | ~ ( greater @ zero @ ( growth_rate @ SV6 @ SY27 ) )
                  | ~ ( greater_or_equal @ ( growth_rate @ SY26 @ SY27 ) @ zero )
                  | ( outcompetes @ SY26 @ SV6 @ SY27 ) )
            | ~ ~ ( ~ ! [SY28: $i,SY29: $i] :
                        ( ~ ( environment @ SV3 )
                        | ~ ( subpopulations @ SV6 @ SY28 @ SV3 @ SY29 )
                        | ~ ( outcompetes @ SY28 @ SV6 @ SY29 )
                        | ( greater @ zero @ ( growth_rate @ SV6 @ SY29 ) ) )
                  | ~ ! [SY30: $i,SY31: $i] :
                        ( ~ ( environment @ SV3 )
                        | ~ ( subpopulations @ SV6 @ SY30 @ SV3 @ SY31 )
                        | ~ ( outcompetes @ SY30 @ SV6 @ SY31 )
                        | ( greater_or_equal @ ( growth_rate @ SY30 @ SY31 ) @ zero ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[23]) ).

thf(28,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( environment @ sK1_E )
                  | ~ ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ sK2_SY12 ) )
            | ~ ( greater_or_equal @ ( growth_rate @ first_movers @ sK2_SY12 ) @ zero ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[24]) ).

thf(29,plain,
    ( ( ~ ( greater @ zero @ ( growth_rate @ efficient_producers @ sK2_SY12 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[24]) ).

thf(30,plain,
    ! [SV7: $i,SV4: $i,SV1: $i] :
      ( ( ! [SY32: $i] :
            ( ~ ( environment @ SV1 )
            | ~ ( subpopulations @ SV4 @ SV7 @ SV1 @ SY32 )
            | ( subpopulations @ SV7 @ SV4 @ SV1 @ SY32 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[25]) ).

thf(31,plain,
    ! [SV5: $i,SV2: $i] :
      ( ( ( ~ ( environment @ SV2 )
          | ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV5 ) )
        = $true )
      | ( ( ~ ( outcompetes @ first_movers @ efficient_producers @ SV5 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[26]) ).

thf(32,plain,
    ! [SV6: $i,SV3: $i] :
      ( ( ~ ! [SY26: $i,SY27: $i] :
              ( ~ ( environment @ SV3 )
              | ~ ( subpopulations @ SV6 @ SY26 @ SV3 @ SY27 )
              | ~ ( greater @ zero @ ( growth_rate @ SV6 @ SY27 ) )
              | ~ ( greater_or_equal @ ( growth_rate @ SY26 @ SY27 ) @ zero )
              | ( outcompetes @ SY26 @ SV6 @ SY27 ) )
        | ~ ~ ( ~ ! [SY28: $i,SY29: $i] :
                    ( ~ ( environment @ SV3 )
                    | ~ ( subpopulations @ SV6 @ SY28 @ SV3 @ SY29 )
                    | ~ ( outcompetes @ SY28 @ SV6 @ SY29 )
                    | ( greater @ zero @ ( growth_rate @ SV6 @ SY29 ) ) )
              | ~ ! [SY30: $i,SY31: $i] :
                    ( ~ ( environment @ SV3 )
                    | ~ ( subpopulations @ SV6 @ SY30 @ SV3 @ SY31 )
                    | ~ ( outcompetes @ SY30 @ SV6 @ SY31 )
                    | ( greater_or_equal @ ( growth_rate @ SY30 @ SY31 ) @ zero ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[27]) ).

thf(33,plain,
    ( ( ~ ( ~ ~ ( ~ ( environment @ sK1_E )
                | ~ ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ sK2_SY12 ) )
          | ~ ( greater_or_equal @ ( growth_rate @ first_movers @ sK2_SY12 ) @ zero ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[28]) ).

thf(34,plain,
    ( ( greater @ zero @ ( growth_rate @ efficient_producers @ sK2_SY12 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[29]) ).

thf(35,plain,
    ! [SV8: $i,SV7: $i,SV4: $i,SV1: $i] :
      ( ( ~ ( environment @ SV1 )
        | ~ ( subpopulations @ SV4 @ SV7 @ SV1 @ SV8 )
        | ( subpopulations @ SV7 @ SV4 @ SV1 @ SV8 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[30]) ).

thf(36,plain,
    ! [SV5: $i,SV2: $i] :
      ( ( ( ~ ( environment @ SV2 ) )
        = $true )
      | ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV5 ) )
        = $true )
      | ( ( ~ ( outcompetes @ first_movers @ efficient_producers @ SV5 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[31]) ).

thf(37,plain,
    ! [SV6: $i,SV3: $i] :
      ( ( ~ ! [SY26: $i,SY27: $i] :
              ( ~ ( environment @ SV3 )
              | ~ ( subpopulations @ SV6 @ SY26 @ SV3 @ SY27 )
              | ~ ( greater @ zero @ ( growth_rate @ SV6 @ SY27 ) )
              | ~ ( greater_or_equal @ ( growth_rate @ SY26 @ SY27 ) @ zero )
              | ( outcompetes @ SY26 @ SV6 @ SY27 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[32]) ).

thf(38,plain,
    ! [SV6: $i,SV3: $i] :
      ( ( ~ ~ ( ~ ! [SY28: $i,SY29: $i] :
                    ( ~ ( environment @ SV3 )
                    | ~ ( subpopulations @ SV6 @ SY28 @ SV3 @ SY29 )
                    | ~ ( outcompetes @ SY28 @ SV6 @ SY29 )
                    | ( greater @ zero @ ( growth_rate @ SV6 @ SY29 ) ) )
              | ~ ! [SY30: $i,SY31: $i] :
                    ( ~ ( environment @ SV3 )
                    | ~ ( subpopulations @ SV6 @ SY30 @ SV3 @ SY31 )
                    | ~ ( outcompetes @ SY30 @ SV6 @ SY31 )
                    | ( greater_or_equal @ ( growth_rate @ SY30 @ SY31 ) @ zero ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[32]) ).

thf(39,plain,
    ( ( ~ ~ ( ~ ( environment @ sK1_E )
            | ~ ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ sK2_SY12 ) )
      | ~ ( greater_or_equal @ ( growth_rate @ first_movers @ sK2_SY12 ) @ zero ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[33]) ).

thf(40,plain,
    ! [SV8: $i,SV7: $i,SV4: $i,SV1: $i] :
      ( ( ( ~ ( environment @ SV1 )
          | ~ ( subpopulations @ SV4 @ SV7 @ SV1 @ SV8 ) )
        = $true )
      | ( ( subpopulations @ SV7 @ SV4 @ SV1 @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[35]) ).

thf(41,plain,
    ! [SV5: $i,SV2: $i] :
      ( ( ( environment @ SV2 )
        = $false )
      | ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV5 ) )
        = $true )
      | ( ( ~ ( outcompetes @ first_movers @ efficient_producers @ SV5 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[36]) ).

thf(42,plain,
    ! [SV6: $i,SV3: $i] :
      ( ( ! [SY26: $i,SY27: $i] :
            ( ~ ( environment @ SV3 )
            | ~ ( subpopulations @ SV6 @ SY26 @ SV3 @ SY27 )
            | ~ ( greater @ zero @ ( growth_rate @ SV6 @ SY27 ) )
            | ~ ( greater_or_equal @ ( growth_rate @ SY26 @ SY27 ) @ zero )
            | ( outcompetes @ SY26 @ SV6 @ SY27 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[37]) ).

thf(43,plain,
    ! [SV6: $i,SV3: $i] :
      ( ( ~ ( ~ ! [SY28: $i,SY29: $i] :
                  ( ~ ( environment @ SV3 )
                  | ~ ( subpopulations @ SV6 @ SY28 @ SV3 @ SY29 )
                  | ~ ( outcompetes @ SY28 @ SV6 @ SY29 )
                  | ( greater @ zero @ ( growth_rate @ SV6 @ SY29 ) ) )
            | ~ ! [SY30: $i,SY31: $i] :
                  ( ~ ( environment @ SV3 )
                  | ~ ( subpopulations @ SV6 @ SY30 @ SV3 @ SY31 )
                  | ~ ( outcompetes @ SY30 @ SV6 @ SY31 )
                  | ( greater_or_equal @ ( growth_rate @ SY30 @ SY31 ) @ zero ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[38]) ).

thf(44,plain,
    ( ( ~ ~ ( ~ ( environment @ sK1_E )
            | ~ ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ sK2_SY12 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[39]) ).

thf(45,plain,
    ( ( ~ ( greater_or_equal @ ( growth_rate @ first_movers @ sK2_SY12 ) @ zero ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[39]) ).

thf(46,plain,
    ! [SV8: $i,SV7: $i,SV4: $i,SV1: $i] :
      ( ( ( ~ ( environment @ SV1 ) )
        = $true )
      | ( ( ~ ( subpopulations @ SV4 @ SV7 @ SV1 @ SV8 ) )
        = $true )
      | ( ( subpopulations @ SV7 @ SV4 @ SV1 @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[40]) ).

thf(47,plain,
    ! [SV5: $i,SV2: $i] :
      ( ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV5 )
        = $false )
      | ( ( environment @ SV2 )
        = $false )
      | ( ( ~ ( outcompetes @ first_movers @ efficient_producers @ SV5 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[41]) ).

thf(48,plain,
    ! [SV9: $i,SV6: $i,SV3: $i] :
      ( ( ! [SY33: $i] :
            ( ~ ( environment @ SV3 )
            | ~ ( subpopulations @ SV6 @ SV9 @ SV3 @ SY33 )
            | ~ ( greater @ zero @ ( growth_rate @ SV6 @ SY33 ) )
            | ~ ( greater_or_equal @ ( growth_rate @ SV9 @ SY33 ) @ zero )
            | ( outcompetes @ SV9 @ SV6 @ SY33 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[42]) ).

thf(49,plain,
    ! [SV6: $i,SV3: $i] :
      ( ( ~ ! [SY28: $i,SY29: $i] :
              ( ~ ( environment @ SV3 )
              | ~ ( subpopulations @ SV6 @ SY28 @ SV3 @ SY29 )
              | ~ ( outcompetes @ SY28 @ SV6 @ SY29 )
              | ( greater @ zero @ ( growth_rate @ SV6 @ SY29 ) ) )
        | ~ ! [SY30: $i,SY31: $i] :
              ( ~ ( environment @ SV3 )
              | ~ ( subpopulations @ SV6 @ SY30 @ SV3 @ SY31 )
              | ~ ( outcompetes @ SY30 @ SV6 @ SY31 )
              | ( greater_or_equal @ ( growth_rate @ SY30 @ SY31 ) @ zero ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[43]) ).

thf(50,plain,
    ( ( ~ ( ~ ( environment @ sK1_E )
          | ~ ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ sK2_SY12 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[44]) ).

thf(51,plain,
    ( ( greater_or_equal @ ( growth_rate @ first_movers @ sK2_SY12 ) @ zero )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[45]) ).

thf(52,plain,
    ! [SV8: $i,SV7: $i,SV4: $i,SV1: $i] :
      ( ( ( environment @ SV1 )
        = $false )
      | ( ( ~ ( subpopulations @ SV4 @ SV7 @ SV1 @ SV8 ) )
        = $true )
      | ( ( subpopulations @ SV7 @ SV4 @ SV1 @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[46]) ).

thf(53,plain,
    ! [SV2: $i,SV5: $i] :
      ( ( ( outcompetes @ first_movers @ efficient_producers @ SV5 )
        = $false )
      | ( ( environment @ SV2 )
        = $false )
      | ( ( subpopulations @ first_movers @ efficient_producers @ SV2 @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[47]) ).

thf(54,plain,
    ! [SV10: $i,SV9: $i,SV6: $i,SV3: $i] :
      ( ( ~ ( environment @ SV3 )
        | ~ ( subpopulations @ SV6 @ SV9 @ SV3 @ SV10 )
        | ~ ( greater @ zero @ ( growth_rate @ SV6 @ SV10 ) )
        | ~ ( greater_or_equal @ ( growth_rate @ SV9 @ SV10 ) @ zero )
        | ( outcompetes @ SV9 @ SV6 @ SV10 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[48]) ).

thf(55,plain,
    ! [SV6: $i,SV3: $i] :
      ( ( ~ ! [SY28: $i,SY29: $i] :
              ( ~ ( environment @ SV3 )
              | ~ ( subpopulations @ SV6 @ SY28 @ SV3 @ SY29 )
              | ~ ( outcompetes @ SY28 @ SV6 @ SY29 )
              | ( greater @ zero @ ( growth_rate @ SV6 @ SY29 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[49]) ).

thf(56,plain,
    ! [SV6: $i,SV3: $i] :
      ( ( ~ ! [SY30: $i,SY31: $i] :
              ( ~ ( environment @ SV3 )
              | ~ ( subpopulations @ SV6 @ SY30 @ SV3 @ SY31 )
              | ~ ( outcompetes @ SY30 @ SV6 @ SY31 )
              | ( greater_or_equal @ ( growth_rate @ SY30 @ SY31 ) @ zero ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[49]) ).

thf(57,plain,
    ( ( ~ ( environment @ sK1_E )
      | ~ ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ sK2_SY12 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[50]) ).

thf(58,plain,
    ! [SV8: $i,SV1: $i,SV7: $i,SV4: $i] :
      ( ( ( subpopulations @ SV4 @ SV7 @ SV1 @ SV8 )
        = $false )
      | ( ( environment @ SV1 )
        = $false )
      | ( ( subpopulations @ SV7 @ SV4 @ SV1 @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[52]) ).

thf(59,plain,
    ! [SV10: $i,SV9: $i,SV6: $i,SV3: $i] :
      ( ( ( ~ ( environment @ SV3 )
          | ~ ( subpopulations @ SV6 @ SV9 @ SV3 @ SV10 ) )
        = $true )
      | ( ( ~ ( greater @ zero @ ( growth_rate @ SV6 @ SV10 ) )
          | ~ ( greater_or_equal @ ( growth_rate @ SV9 @ SV10 ) @ zero )
          | ( outcompetes @ SV9 @ SV6 @ SV10 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[54]) ).

thf(60,plain,
    ! [SV6: $i,SV3: $i] :
      ( ( ! [SY28: $i,SY29: $i] :
            ( ~ ( environment @ SV3 )
            | ~ ( subpopulations @ SV6 @ SY28 @ SV3 @ SY29 )
            | ~ ( outcompetes @ SY28 @ SV6 @ SY29 )
            | ( greater @ zero @ ( growth_rate @ SV6 @ SY29 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[55]) ).

thf(61,plain,
    ! [SV6: $i,SV3: $i] :
      ( ( ! [SY30: $i,SY31: $i] :
            ( ~ ( environment @ SV3 )
            | ~ ( subpopulations @ SV6 @ SY30 @ SV3 @ SY31 )
            | ~ ( outcompetes @ SY30 @ SV6 @ SY31 )
            | ( greater_or_equal @ ( growth_rate @ SY30 @ SY31 ) @ zero ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[56]) ).

thf(62,plain,
    ( ( ~ ( environment @ sK1_E ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[57]) ).

thf(63,plain,
    ( ( ~ ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ sK2_SY12 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[57]) ).

thf(64,plain,
    ! [SV10: $i,SV9: $i,SV6: $i,SV3: $i] :
      ( ( ( ~ ( environment @ SV3 ) )
        = $true )
      | ( ( ~ ( subpopulations @ SV6 @ SV9 @ SV3 @ SV10 ) )
        = $true )
      | ( ( ~ ( greater @ zero @ ( growth_rate @ SV6 @ SV10 ) )
          | ~ ( greater_or_equal @ ( growth_rate @ SV9 @ SV10 ) @ zero )
          | ( outcompetes @ SV9 @ SV6 @ SV10 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[59]) ).

thf(65,plain,
    ! [SV11: $i,SV6: $i,SV3: $i] :
      ( ( ! [SY34: $i] :
            ( ~ ( environment @ SV3 )
            | ~ ( subpopulations @ SV6 @ SV11 @ SV3 @ SY34 )
            | ~ ( outcompetes @ SV11 @ SV6 @ SY34 )
            | ( greater @ zero @ ( growth_rate @ SV6 @ SY34 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[60]) ).

thf(66,plain,
    ! [SV12: $i,SV6: $i,SV3: $i] :
      ( ( ! [SY35: $i] :
            ( ~ ( environment @ SV3 )
            | ~ ( subpopulations @ SV6 @ SV12 @ SV3 @ SY35 )
            | ~ ( outcompetes @ SV12 @ SV6 @ SY35 )
            | ( greater_or_equal @ ( growth_rate @ SV12 @ SY35 ) @ zero ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[61]) ).

thf(67,plain,
    ( ( environment @ sK1_E )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[62]) ).

thf(68,plain,
    ( ( subpopulations @ first_movers @ efficient_producers @ sK1_E @ sK2_SY12 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[63]) ).

thf(69,plain,
    ! [SV10: $i,SV9: $i,SV6: $i,SV3: $i] :
      ( ( ( environment @ SV3 )
        = $false )
      | ( ( ~ ( subpopulations @ SV6 @ SV9 @ SV3 @ SV10 ) )
        = $true )
      | ( ( ~ ( greater @ zero @ ( growth_rate @ SV6 @ SV10 ) )
          | ~ ( greater_or_equal @ ( growth_rate @ SV9 @ SV10 ) @ zero )
          | ( outcompetes @ SV9 @ SV6 @ SV10 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[64]) ).

thf(70,plain,
    ! [SV13: $i,SV11: $i,SV6: $i,SV3: $i] :
      ( ( ~ ( environment @ SV3 )
        | ~ ( subpopulations @ SV6 @ SV11 @ SV3 @ SV13 )
        | ~ ( outcompetes @ SV11 @ SV6 @ SV13 )
        | ( greater @ zero @ ( growth_rate @ SV6 @ SV13 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[65]) ).

thf(71,plain,
    ! [SV14: $i,SV12: $i,SV6: $i,SV3: $i] :
      ( ( ~ ( environment @ SV3 )
        | ~ ( subpopulations @ SV6 @ SV12 @ SV3 @ SV14 )
        | ~ ( outcompetes @ SV12 @ SV6 @ SV14 )
        | ( greater_or_equal @ ( growth_rate @ SV12 @ SV14 ) @ zero ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[66]) ).

thf(72,plain,
    ! [SV10: $i,SV3: $i,SV9: $i,SV6: $i] :
      ( ( ( subpopulations @ SV6 @ SV9 @ SV3 @ SV10 )
        = $false )
      | ( ( environment @ SV3 )
        = $false )
      | ( ( ~ ( greater @ zero @ ( growth_rate @ SV6 @ SV10 ) )
          | ~ ( greater_or_equal @ ( growth_rate @ SV9 @ SV10 ) @ zero )
          | ( outcompetes @ SV9 @ SV6 @ SV10 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[69]) ).

thf(73,plain,
    ! [SV13: $i,SV11: $i,SV6: $i,SV3: $i] :
      ( ( ( ~ ( environment @ SV3 )
          | ~ ( subpopulations @ SV6 @ SV11 @ SV3 @ SV13 ) )
        = $true )
      | ( ( ~ ( outcompetes @ SV11 @ SV6 @ SV13 )
          | ( greater @ zero @ ( growth_rate @ SV6 @ SV13 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[70]) ).

thf(74,plain,
    ! [SV14: $i,SV12: $i,SV6: $i,SV3: $i] :
      ( ( ( ~ ( environment @ SV3 )
          | ~ ( subpopulations @ SV6 @ SV12 @ SV3 @ SV14 ) )
        = $true )
      | ( ( ~ ( outcompetes @ SV12 @ SV6 @ SV14 )
          | ( greater_or_equal @ ( growth_rate @ SV12 @ SV14 ) @ zero ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[71]) ).

thf(75,plain,
    ! [SV3: $i,SV9: $i,SV10: $i,SV6: $i] :
      ( ( ( ~ ( greater @ zero @ ( growth_rate @ SV6 @ SV10 ) )
          | ~ ( greater_or_equal @ ( growth_rate @ SV9 @ SV10 ) @ zero ) )
        = $true )
      | ( ( outcompetes @ SV9 @ SV6 @ SV10 )
        = $true )
      | ( ( environment @ SV3 )
        = $false )
      | ( ( subpopulations @ SV6 @ SV9 @ SV3 @ SV10 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[72]) ).

thf(76,plain,
    ! [SV13: $i,SV11: $i,SV6: $i,SV3: $i] :
      ( ( ( ~ ( environment @ SV3 ) )
        = $true )
      | ( ( ~ ( subpopulations @ SV6 @ SV11 @ SV3 @ SV13 ) )
        = $true )
      | ( ( ~ ( outcompetes @ SV11 @ SV6 @ SV13 )
          | ( greater @ zero @ ( growth_rate @ SV6 @ SV13 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[73]) ).

thf(77,plain,
    ! [SV14: $i,SV12: $i,SV6: $i,SV3: $i] :
      ( ( ( ~ ( environment @ SV3 ) )
        = $true )
      | ( ( ~ ( subpopulations @ SV6 @ SV12 @ SV3 @ SV14 ) )
        = $true )
      | ( ( ~ ( outcompetes @ SV12 @ SV6 @ SV14 )
          | ( greater_or_equal @ ( growth_rate @ SV12 @ SV14 ) @ zero ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[74]) ).

thf(78,plain,
    ! [SV3: $i,SV9: $i,SV10: $i,SV6: $i] :
      ( ( ( ~ ( greater @ zero @ ( growth_rate @ SV6 @ SV10 ) ) )
        = $true )
      | ( ( ~ ( greater_or_equal @ ( growth_rate @ SV9 @ SV10 ) @ zero ) )
        = $true )
      | ( ( outcompetes @ SV9 @ SV6 @ SV10 )
        = $true )
      | ( ( environment @ SV3 )
        = $false )
      | ( ( subpopulations @ SV6 @ SV9 @ SV3 @ SV10 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[75]) ).

thf(79,plain,
    ! [SV13: $i,SV11: $i,SV6: $i,SV3: $i] :
      ( ( ( environment @ SV3 )
        = $false )
      | ( ( ~ ( subpopulations @ SV6 @ SV11 @ SV3 @ SV13 ) )
        = $true )
      | ( ( ~ ( outcompetes @ SV11 @ SV6 @ SV13 )
          | ( greater @ zero @ ( growth_rate @ SV6 @ SV13 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[76]) ).

thf(80,plain,
    ! [SV14: $i,SV12: $i,SV6: $i,SV3: $i] :
      ( ( ( environment @ SV3 )
        = $false )
      | ( ( ~ ( subpopulations @ SV6 @ SV12 @ SV3 @ SV14 ) )
        = $true )
      | ( ( ~ ( outcompetes @ SV12 @ SV6 @ SV14 )
          | ( greater_or_equal @ ( growth_rate @ SV12 @ SV14 ) @ zero ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[77]) ).

thf(81,plain,
    ! [SV3: $i,SV9: $i,SV10: $i,SV6: $i] :
      ( ( ( greater @ zero @ ( growth_rate @ SV6 @ SV10 ) )
        = $false )
      | ( ( ~ ( greater_or_equal @ ( growth_rate @ SV9 @ SV10 ) @ zero ) )
        = $true )
      | ( ( outcompetes @ SV9 @ SV6 @ SV10 )
        = $true )
      | ( ( environment @ SV3 )
        = $false )
      | ( ( subpopulations @ SV6 @ SV9 @ SV3 @ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[78]) ).

thf(82,plain,
    ! [SV13: $i,SV3: $i,SV11: $i,SV6: $i] :
      ( ( ( subpopulations @ SV6 @ SV11 @ SV3 @ SV13 )
        = $false )
      | ( ( environment @ SV3 )
        = $false )
      | ( ( ~ ( outcompetes @ SV11 @ SV6 @ SV13 )
          | ( greater @ zero @ ( growth_rate @ SV6 @ SV13 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[79]) ).

thf(83,plain,
    ! [SV14: $i,SV3: $i,SV12: $i,SV6: $i] :
      ( ( ( subpopulations @ SV6 @ SV12 @ SV3 @ SV14 )
        = $false )
      | ( ( environment @ SV3 )
        = $false )
      | ( ( ~ ( outcompetes @ SV12 @ SV6 @ SV14 )
          | ( greater_or_equal @ ( growth_rate @ SV12 @ SV14 ) @ zero ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[80]) ).

thf(84,plain,
    ! [SV3: $i,SV6: $i,SV10: $i,SV9: $i] :
      ( ( ( greater_or_equal @ ( growth_rate @ SV9 @ SV10 ) @ zero )
        = $false )
      | ( ( greater @ zero @ ( growth_rate @ SV6 @ SV10 ) )
        = $false )
      | ( ( outcompetes @ SV9 @ SV6 @ SV10 )
        = $true )
      | ( ( environment @ SV3 )
        = $false )
      | ( ( subpopulations @ SV6 @ SV9 @ SV3 @ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[81]) ).

thf(85,plain,
    ! [SV3: $i,SV13: $i,SV6: $i,SV11: $i] :
      ( ( ( ~ ( outcompetes @ SV11 @ SV6 @ SV13 ) )
        = $true )
      | ( ( greater @ zero @ ( growth_rate @ SV6 @ SV13 ) )
        = $true )
      | ( ( environment @ SV3 )
        = $false )
      | ( ( subpopulations @ SV6 @ SV11 @ SV3 @ SV13 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[82]) ).

thf(86,plain,
    ! [SV3: $i,SV14: $i,SV6: $i,SV12: $i] :
      ( ( ( ~ ( outcompetes @ SV12 @ SV6 @ SV14 ) )
        = $true )
      | ( ( greater_or_equal @ ( growth_rate @ SV12 @ SV14 ) @ zero )
        = $true )
      | ( ( environment @ SV3 )
        = $false )
      | ( ( subpopulations @ SV6 @ SV12 @ SV3 @ SV14 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[83]) ).

thf(87,plain,
    ! [SV3: $i,SV13: $i,SV6: $i,SV11: $i] :
      ( ( ( outcompetes @ SV11 @ SV6 @ SV13 )
        = $false )
      | ( ( greater @ zero @ ( growth_rate @ SV6 @ SV13 ) )
        = $true )
      | ( ( environment @ SV3 )
        = $false )
      | ( ( subpopulations @ SV6 @ SV11 @ SV3 @ SV13 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[85]) ).

thf(88,plain,
    ! [SV3: $i,SV14: $i,SV6: $i,SV12: $i] :
      ( ( ( outcompetes @ SV12 @ SV6 @ SV14 )
        = $false )
      | ( ( greater_or_equal @ ( growth_rate @ SV12 @ SV14 ) @ zero )
        = $true )
      | ( ( environment @ SV3 )
        = $false )
      | ( ( subpopulations @ SV6 @ SV12 @ SV3 @ SV14 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[86]) ).

thf(89,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[34,88,87,84,68,67,58,53,51]) ).

thf(90,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[89]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : MGT036+3 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun  9 07:44:20 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  
% 0.13/0.35   No.of.Axioms: 3
% 0.13/0.35  
% 0.13/0.35   Length.of.Defs: 0
% 0.13/0.35  
% 0.13/0.35   Contains.Choice.Funs: false
% 0.13/0.35  (rf:0,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:5,loop_count:0,foatp_calls:0,translation:fof_full).....
% 0.20/0.42  
% 0.20/0.42  ********************************
% 0.20/0.42  *   All subproblems solved!    *
% 0.20/0.42  ********************************
% 0.20/0.42  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:89,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.43  
% 0.20/0.43  %**** Beginning of derivation protocol ****
% 0.20/0.43  % SZS output start CNFRefutation
% See solution above
% 0.20/0.43  
% 0.20/0.43  %**** End of derivation protocol ****
% 0.20/0.43  %**** no. of clauses in derivation: 90 ****
% 0.20/0.43  %**** clause counter: 89 ****
% 0.20/0.43  
% 0.20/0.43  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:89,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------