TSTP Solution File: MGT025+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : MGT025+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 : Thu Aug 31 09:14:16 EDT 2023

% Result   : Theorem 1.93s 1.22s
% Output   : CNFRefutation 1.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    8
% Syntax   : Number of formulae    :  156 (  12 unt;   0 def)
%            Number of atoms       :  649 ( 109 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  808 ( 315   ~; 383   |;  88   &)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :  208 (   2 sgn; 127   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( ( ( greater(cardinality_at_time(X1,X2),zero)
         => ( first_movers = X1
            | efficient_producers = X1 ) )
        & subpopulation(X1,X0,X2)
        & environment(X0) )
     => number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_only_members) ).

fof(f2,axiom,
    ! [X0,X2] :
      ( ( in_environment(X0,X2)
        & environment(X0) )
     => ( subpopulation(efficient_producers,X0,X2)
        & subpopulation(first_movers,X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations) ).

fof(f3,axiom,
    ! [X3,X4,X5] :
      ( ( constant(X3)
        & sum(X4,X5) = X3 )
     => ( ( increases(X5)
          & decreases(X4) )
        | ( decreases(X5)
          & increases(X4) )
        | ( constant(X5)
          & constant(X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase) ).

fof(f4,axiom,
    ! [X1,X0,X2] :
      ( ( greater(cardinality_at_time(X1,X2),zero)
        & subpopulation(X1,X0,X2)
        & in_environment(X0,X2)
        & environment(X0) )
     => ( ( decreases(cardinality_at_time(X1,X2))
         => greater(zero,growth_rate(X1,X2)) )
        & ( increases(cardinality_at_time(X1,X2))
         => greater(growth_rate(X1,X2),zero) )
        & ( constant(cardinality_at_time(X1,X2))
         => zero = growth_rate(X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate) ).

fof(f5,axiom,
    ! [X0,X2] :
      ( ( subpopulations(first_movers,efficient_producers,X0,X2)
        & environment(X0) )
     => ( greater(cardinality_at_time(efficient_producers,X2),zero)
        & greater(cardinality_at_time(first_movers,X2),zero) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_zero_producers) ).

fof(f6,axiom,
    ! [X0,X2] :
      ( ( subpopulations(first_movers,efficient_producers,X0,X2)
        & environment(X0) )
     => in_environment(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_point_occur) ).

fof(f8,conjecture,
    ! [X0,X2] :
      ( ( constant(number_of_organizations(X0,X2))
        & subpopulations(first_movers,efficient_producers,X0,X2)
        & environment(X0) )
     => ( ( greater(zero,growth_rate(first_movers,X2))
          & greater(growth_rate(efficient_producers,X2),zero) )
        | ( greater(zero,growth_rate(efficient_producers,X2))
          & greater(growth_rate(first_movers,X2),zero) )
        | ( zero = growth_rate(efficient_producers,X2)
          & zero = growth_rate(first_movers,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l7) ).

fof(f9,negated_conjecture,
    ~ ! [X0,X2] :
        ( ( constant(number_of_organizations(X0,X2))
          & subpopulations(first_movers,efficient_producers,X0,X2)
          & environment(X0) )
       => ( ( greater(zero,growth_rate(first_movers,X2))
            & greater(growth_rate(efficient_producers,X2),zero) )
          | ( greater(zero,growth_rate(efficient_producers,X2))
            & greater(growth_rate(first_movers,X2),zero) )
          | ( zero = growth_rate(efficient_producers,X2)
            & zero = growth_rate(first_movers,X2) ) ) ),
    inference(negated_conjecture,[],[f8]) ).

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

fof(f11,plain,
    ! [X0,X1,X2] :
      ( ( constant(X0)
        & sum(X1,X2) = X0 )
     => ( ( increases(X2)
          & decreases(X1) )
        | ( decreases(X2)
          & increases(X1) )
        | ( constant(X2)
          & constant(X1) ) ) ),
    inference(rectify,[],[f3]) ).

fof(f12,plain,
    ! [X0,X1,X2] :
      ( ( greater(cardinality_at_time(X0,X2),zero)
        & subpopulation(X0,X1,X2)
        & in_environment(X1,X2)
        & environment(X1) )
     => ( ( decreases(cardinality_at_time(X0,X2))
         => greater(zero,growth_rate(X0,X2)) )
        & ( increases(cardinality_at_time(X0,X2))
         => greater(growth_rate(X0,X2),zero) )
        & ( constant(cardinality_at_time(X0,X2))
         => zero = growth_rate(X0,X2) ) ) ),
    inference(rectify,[],[f4]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ( subpopulations(first_movers,efficient_producers,X0,X1)
        & environment(X0) )
     => ( greater(cardinality_at_time(efficient_producers,X1),zero)
        & greater(cardinality_at_time(first_movers,X1),zero) ) ),
    inference(rectify,[],[f5]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ( subpopulations(first_movers,efficient_producers,X0,X1)
        & environment(X0) )
     => in_environment(X0,X1) ),
    inference(rectify,[],[f6]) ).

fof(f15,plain,
    ~ ! [X0,X1] :
        ( ( constant(number_of_organizations(X0,X1))
          & subpopulations(first_movers,efficient_producers,X0,X1)
          & environment(X0) )
       => ( ( greater(zero,growth_rate(first_movers,X1))
            & greater(growth_rate(efficient_producers,X1),zero) )
          | ( greater(zero,growth_rate(efficient_producers,X1))
            & greater(growth_rate(first_movers,X1),zero) )
          | ( zero = growth_rate(efficient_producers,X1)
            & zero = growth_rate(first_movers,X1) ) ) ),
    inference(rectify,[],[f9]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
      | ( first_movers != X1
        & efficient_producers != X1
        & greater(cardinality_at_time(X1,X2),zero) )
      | ~ subpopulation(X1,X0,X2)
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f17,plain,
    ! [X0,X1,X2] :
      ( number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
      | ( first_movers != X1
        & efficient_producers != X1
        & greater(cardinality_at_time(X1,X2),zero) )
      | ~ subpopulation(X1,X0,X2)
      | ~ environment(X0) ),
    inference(flattening,[],[f16]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ( subpopulation(efficient_producers,X0,X1)
        & subpopulation(first_movers,X0,X1) )
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ( subpopulation(efficient_producers,X0,X1)
        & subpopulation(first_movers,X0,X1) )
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(flattening,[],[f18]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( ( increases(X2)
        & decreases(X1) )
      | ( decreases(X2)
        & increases(X1) )
      | ( constant(X2)
        & constant(X1) )
      | ~ constant(X0)
      | sum(X1,X2) != X0 ),
    inference(ennf_transformation,[],[f11]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( ( increases(X2)
        & decreases(X1) )
      | ( decreases(X2)
        & increases(X1) )
      | ( constant(X2)
        & constant(X1) )
      | ~ constant(X0)
      | sum(X1,X2) != X0 ),
    inference(flattening,[],[f20]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( ( ( greater(zero,growth_rate(X0,X2))
          | ~ decreases(cardinality_at_time(X0,X2)) )
        & ( greater(growth_rate(X0,X2),zero)
          | ~ increases(cardinality_at_time(X0,X2)) )
        & ( zero = growth_rate(X0,X2)
          | ~ constant(cardinality_at_time(X0,X2)) ) )
      | ~ greater(cardinality_at_time(X0,X2),zero)
      | ~ subpopulation(X0,X1,X2)
      | ~ in_environment(X1,X2)
      | ~ environment(X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( ( ( greater(zero,growth_rate(X0,X2))
          | ~ decreases(cardinality_at_time(X0,X2)) )
        & ( greater(growth_rate(X0,X2),zero)
          | ~ increases(cardinality_at_time(X0,X2)) )
        & ( zero = growth_rate(X0,X2)
          | ~ constant(cardinality_at_time(X0,X2)) ) )
      | ~ greater(cardinality_at_time(X0,X2),zero)
      | ~ subpopulation(X0,X1,X2)
      | ~ in_environment(X1,X2)
      | ~ environment(X1) ),
    inference(flattening,[],[f22]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ( greater(cardinality_at_time(efficient_producers,X1),zero)
        & greater(cardinality_at_time(first_movers,X1),zero) )
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ( greater(cardinality_at_time(efficient_producers,X1),zero)
        & greater(cardinality_at_time(first_movers,X1),zero) )
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(flattening,[],[f24]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( in_environment(X0,X1)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( in_environment(X0,X1)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(flattening,[],[f26]) ).

fof(f30,plain,
    ? [X0,X1] :
      ( ( ~ greater(zero,growth_rate(first_movers,X1))
        | ~ greater(growth_rate(efficient_producers,X1),zero) )
      & ( ~ greater(zero,growth_rate(efficient_producers,X1))
        | ~ greater(growth_rate(first_movers,X1),zero) )
      & ( zero != growth_rate(efficient_producers,X1)
        | zero != growth_rate(first_movers,X1) )
      & constant(number_of_organizations(X0,X1))
      & subpopulations(first_movers,efficient_producers,X0,X1)
      & environment(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f31,plain,
    ? [X0,X1] :
      ( ( ~ greater(zero,growth_rate(first_movers,X1))
        | ~ greater(growth_rate(efficient_producers,X1),zero) )
      & ( ~ greater(zero,growth_rate(efficient_producers,X1))
        | ~ greater(growth_rate(first_movers,X1),zero) )
      & ( zero != growth_rate(efficient_producers,X1)
        | zero != growth_rate(first_movers,X1) )
      & constant(number_of_organizations(X0,X1))
      & subpopulations(first_movers,efficient_producers,X0,X1)
      & environment(X0) ),
    inference(flattening,[],[f30]) ).

fof(f32,plain,
    ( ? [X0,X1] :
        ( ( ~ greater(zero,growth_rate(first_movers,X1))
          | ~ greater(growth_rate(efficient_producers,X1),zero) )
        & ( ~ greater(zero,growth_rate(efficient_producers,X1))
          | ~ greater(growth_rate(first_movers,X1),zero) )
        & ( zero != growth_rate(efficient_producers,X1)
          | zero != growth_rate(first_movers,X1) )
        & constant(number_of_organizations(X0,X1))
        & subpopulations(first_movers,efficient_producers,X0,X1)
        & environment(X0) )
   => ( ( ~ greater(zero,growth_rate(first_movers,sK1))
        | ~ greater(growth_rate(efficient_producers,sK1),zero) )
      & ( ~ greater(zero,growth_rate(efficient_producers,sK1))
        | ~ greater(growth_rate(first_movers,sK1),zero) )
      & ( zero != growth_rate(efficient_producers,sK1)
        | zero != growth_rate(first_movers,sK1) )
      & constant(number_of_organizations(sK0,sK1))
      & subpopulations(first_movers,efficient_producers,sK0,sK1)
      & environment(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f33,plain,
    ( ( ~ greater(zero,growth_rate(first_movers,sK1))
      | ~ greater(growth_rate(efficient_producers,sK1),zero) )
    & ( ~ greater(zero,growth_rate(efficient_producers,sK1))
      | ~ greater(growth_rate(first_movers,sK1),zero) )
    & ( zero != growth_rate(efficient_producers,sK1)
      | zero != growth_rate(first_movers,sK1) )
    & constant(number_of_organizations(sK0,sK1))
    & subpopulations(first_movers,efficient_producers,sK0,sK1)
    & environment(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f31,f32]) ).

fof(f36,plain,
    ! [X2,X0,X1] :
      ( number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
      | first_movers != X1
      | ~ subpopulation(X1,X0,X2)
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( subpopulation(first_movers,X0,X1)
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( subpopulation(efficient_producers,X0,X1)
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f39,plain,
    ! [X2,X0,X1] :
      ( decreases(X1)
      | increases(X1)
      | constant(X1)
      | ~ constant(X0)
      | sum(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f40,plain,
    ! [X2,X0,X1] :
      ( decreases(X1)
      | increases(X1)
      | constant(X2)
      | ~ constant(X0)
      | sum(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f41,plain,
    ! [X2,X0,X1] :
      ( decreases(X1)
      | decreases(X2)
      | constant(X1)
      | ~ constant(X0)
      | sum(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f42,plain,
    ! [X2,X0,X1] :
      ( decreases(X1)
      | decreases(X2)
      | constant(X2)
      | ~ constant(X0)
      | sum(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f43,plain,
    ! [X2,X0,X1] :
      ( increases(X2)
      | increases(X1)
      | constant(X1)
      | ~ constant(X0)
      | sum(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( increases(X2)
      | increases(X1)
      | constant(X2)
      | ~ constant(X0)
      | sum(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f45,plain,
    ! [X2,X0,X1] :
      ( increases(X2)
      | decreases(X2)
      | constant(X1)
      | ~ constant(X0)
      | sum(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f46,plain,
    ! [X2,X0,X1] :
      ( increases(X2)
      | decreases(X2)
      | constant(X2)
      | ~ constant(X0)
      | sum(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( zero = growth_rate(X0,X2)
      | ~ constant(cardinality_at_time(X0,X2))
      | ~ greater(cardinality_at_time(X0,X2),zero)
      | ~ subpopulation(X0,X1,X2)
      | ~ in_environment(X1,X2)
      | ~ environment(X1) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f48,plain,
    ! [X2,X0,X1] :
      ( greater(growth_rate(X0,X2),zero)
      | ~ increases(cardinality_at_time(X0,X2))
      | ~ greater(cardinality_at_time(X0,X2),zero)
      | ~ subpopulation(X0,X1,X2)
      | ~ in_environment(X1,X2)
      | ~ environment(X1) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( greater(zero,growth_rate(X0,X2))
      | ~ decreases(cardinality_at_time(X0,X2))
      | ~ greater(cardinality_at_time(X0,X2),zero)
      | ~ subpopulation(X0,X1,X2)
      | ~ in_environment(X1,X2)
      | ~ environment(X1) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( greater(cardinality_at_time(first_movers,X1),zero)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( greater(cardinality_at_time(efficient_producers,X1),zero)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( in_environment(X0,X1)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f54,plain,
    environment(sK0),
    inference(cnf_transformation,[],[f33]) ).

fof(f55,plain,
    subpopulations(first_movers,efficient_producers,sK0,sK1),
    inference(cnf_transformation,[],[f33]) ).

fof(f56,plain,
    constant(number_of_organizations(sK0,sK1)),
    inference(cnf_transformation,[],[f33]) ).

fof(f57,plain,
    ( zero != growth_rate(efficient_producers,sK1)
    | zero != growth_rate(first_movers,sK1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f58,plain,
    ( ~ greater(zero,growth_rate(efficient_producers,sK1))
    | ~ greater(growth_rate(first_movers,sK1),zero) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f59,plain,
    ( ~ greater(zero,growth_rate(first_movers,sK1))
    | ~ greater(growth_rate(efficient_producers,sK1),zero) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f60,plain,
    ! [X2,X0] :
      ( number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
      | ~ subpopulation(first_movers,X0,X2)
      | ~ environment(X0) ),
    inference(equality_resolution,[],[f36]) ).

fof(f62,plain,
    ! [X2,X1] :
      ( increases(X2)
      | decreases(X2)
      | constant(X2)
      | ~ constant(sum(X1,X2)) ),
    inference(equality_resolution,[],[f46]) ).

fof(f63,plain,
    ! [X2,X1] :
      ( increases(X2)
      | decreases(X2)
      | constant(X1)
      | ~ constant(sum(X1,X2)) ),
    inference(equality_resolution,[],[f45]) ).

fof(f64,plain,
    ! [X2,X1] :
      ( increases(X2)
      | increases(X1)
      | constant(X2)
      | ~ constant(sum(X1,X2)) ),
    inference(equality_resolution,[],[f44]) ).

fof(f65,plain,
    ! [X2,X1] :
      ( increases(X2)
      | increases(X1)
      | constant(X1)
      | ~ constant(sum(X1,X2)) ),
    inference(equality_resolution,[],[f43]) ).

fof(f66,plain,
    ! [X2,X1] :
      ( decreases(X1)
      | decreases(X2)
      | constant(X2)
      | ~ constant(sum(X1,X2)) ),
    inference(equality_resolution,[],[f42]) ).

fof(f67,plain,
    ! [X2,X1] :
      ( decreases(X1)
      | decreases(X2)
      | constant(X1)
      | ~ constant(sum(X1,X2)) ),
    inference(equality_resolution,[],[f41]) ).

fof(f68,plain,
    ! [X2,X1] :
      ( decreases(X1)
      | increases(X1)
      | constant(X2)
      | ~ constant(sum(X1,X2)) ),
    inference(equality_resolution,[],[f40]) ).

fof(f69,plain,
    ! [X2,X1] :
      ( decreases(X1)
      | increases(X1)
      | constant(X1)
      | ~ constant(sum(X1,X2)) ),
    inference(equality_resolution,[],[f39]) ).

cnf(c_49,plain,
    ( ~ subpopulation(first_movers,X0,X1)
    | ~ environment(X0)
    | sum(cardinality_at_time(first_movers,X1),cardinality_at_time(efficient_producers,X1)) = number_of_organizations(X0,X1) ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_52,plain,
    ( ~ in_environment(X0,X1)
    | ~ environment(X0)
    | subpopulation(efficient_producers,X0,X1) ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_53,plain,
    ( ~ in_environment(X0,X1)
    | ~ environment(X0)
    | subpopulation(first_movers,X0,X1) ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_54,plain,
    ( ~ constant(sum(X0,X1))
    | increases(X1)
    | decreases(X1)
    | constant(X1) ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_55,plain,
    ( ~ constant(sum(X0,X1))
    | increases(X1)
    | decreases(X1)
    | constant(X0) ),
    inference(cnf_transformation,[],[f63]) ).

cnf(c_56,plain,
    ( ~ constant(sum(X0,X1))
    | increases(X0)
    | increases(X1)
    | constant(X1) ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_57,plain,
    ( ~ constant(sum(X0,X1))
    | increases(X0)
    | increases(X1)
    | constant(X0) ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_58,plain,
    ( ~ constant(sum(X0,X1))
    | decreases(X0)
    | decreases(X1)
    | constant(X1) ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_59,plain,
    ( ~ constant(sum(X0,X1))
    | decreases(X0)
    | decreases(X1)
    | constant(X0) ),
    inference(cnf_transformation,[],[f67]) ).

cnf(c_60,plain,
    ( ~ constant(sum(X0,X1))
    | increases(X0)
    | decreases(X0)
    | constant(X1) ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_61,plain,
    ( ~ constant(sum(X0,X1))
    | increases(X0)
    | decreases(X0)
    | constant(X0) ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_62,plain,
    ( ~ greater(cardinality_at_time(X0,X1),zero)
    | ~ subpopulation(X0,X2,X1)
    | ~ decreases(cardinality_at_time(X0,X1))
    | ~ in_environment(X2,X1)
    | ~ environment(X2)
    | greater(zero,growth_rate(X0,X1)) ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_63,plain,
    ( ~ greater(cardinality_at_time(X0,X1),zero)
    | ~ subpopulation(X0,X2,X1)
    | ~ increases(cardinality_at_time(X0,X1))
    | ~ in_environment(X2,X1)
    | ~ environment(X2)
    | greater(growth_rate(X0,X1),zero) ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_64,plain,
    ( ~ greater(cardinality_at_time(X0,X1),zero)
    | ~ subpopulation(X0,X2,X1)
    | ~ constant(cardinality_at_time(X0,X1))
    | ~ in_environment(X2,X1)
    | ~ environment(X2)
    | growth_rate(X0,X1) = zero ),
    inference(cnf_transformation,[],[f47]) ).

cnf(c_65,plain,
    ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
    | ~ environment(X0)
    | greater(cardinality_at_time(efficient_producers,X1),zero) ),
    inference(cnf_transformation,[],[f51]) ).

cnf(c_66,plain,
    ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
    | ~ environment(X0)
    | greater(cardinality_at_time(first_movers,X1),zero) ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_67,plain,
    ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
    | ~ environment(X0)
    | in_environment(X0,X1) ),
    inference(cnf_transformation,[],[f52]) ).

cnf(c_69,negated_conjecture,
    ( ~ greater(growth_rate(efficient_producers,sK1),zero)
    | ~ greater(zero,growth_rate(first_movers,sK1)) ),
    inference(cnf_transformation,[],[f59]) ).

cnf(c_70,negated_conjecture,
    ( ~ greater(growth_rate(first_movers,sK1),zero)
    | ~ greater(zero,growth_rate(efficient_producers,sK1)) ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_71,negated_conjecture,
    ( growth_rate(first_movers,sK1) != zero
    | growth_rate(efficient_producers,sK1) != zero ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_72,negated_conjecture,
    constant(number_of_organizations(sK0,sK1)),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_73,negated_conjecture,
    subpopulations(first_movers,efficient_producers,sK0,sK1),
    inference(cnf_transformation,[],[f55]) ).

cnf(c_74,negated_conjecture,
    environment(sK0),
    inference(cnf_transformation,[],[f54]) ).

cnf(c_450,plain,
    ( X0 != sK0
    | X1 != sK1
    | first_movers != first_movers
    | efficient_producers != efficient_producers
    | ~ environment(X0)
    | in_environment(X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_67,c_73]) ).

cnf(c_451,plain,
    ( ~ environment(sK0)
    | in_environment(sK0,sK1) ),
    inference(unflattening,[status(thm)],[c_450]) ).

cnf(c_452,plain,
    in_environment(sK0,sK1),
    inference(global_subsumption_just,[status(thm)],[c_451,c_74,c_451]) ).

cnf(c_457,plain,
    ( X0 != sK0
    | X1 != sK1
    | first_movers != first_movers
    | efficient_producers != efficient_producers
    | ~ environment(X0)
    | greater(cardinality_at_time(first_movers,X1),zero) ),
    inference(resolution_lifted,[status(thm)],[c_66,c_73]) ).

cnf(c_458,plain,
    ( ~ environment(sK0)
    | greater(cardinality_at_time(first_movers,sK1),zero) ),
    inference(unflattening,[status(thm)],[c_457]) ).

cnf(c_464,plain,
    ( X0 != sK0
    | X1 != sK1
    | first_movers != first_movers
    | efficient_producers != efficient_producers
    | ~ environment(X0)
    | greater(cardinality_at_time(efficient_producers,X1),zero) ),
    inference(resolution_lifted,[status(thm)],[c_65,c_73]) ).

cnf(c_465,plain,
    ( ~ environment(sK0)
    | greater(cardinality_at_time(efficient_producers,sK1),zero) ),
    inference(unflattening,[status(thm)],[c_464]) ).

cnf(c_474,plain,
    ( X0 != sK0
    | X1 != sK1
    | ~ environment(X0)
    | subpopulation(first_movers,X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_452]) ).

cnf(c_475,plain,
    ( ~ environment(sK0)
    | subpopulation(first_movers,sK0,sK1) ),
    inference(unflattening,[status(thm)],[c_474]) ).

cnf(c_476,plain,
    subpopulation(first_movers,sK0,sK1),
    inference(global_subsumption_just,[status(thm)],[c_475,c_74,c_475]) ).

cnf(c_481,plain,
    ( X0 != sK0
    | X1 != sK1
    | ~ environment(X0)
    | subpopulation(efficient_producers,X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_452]) ).

cnf(c_482,plain,
    ( ~ environment(sK0)
    | subpopulation(efficient_producers,sK0,sK1) ),
    inference(unflattening,[status(thm)],[c_481]) ).

cnf(c_483,plain,
    subpopulation(efficient_producers,sK0,sK1),
    inference(global_subsumption_just,[status(thm)],[c_482,c_74,c_482]) ).

cnf(c_488,plain,
    ( X0 != sK1
    | X1 != sK0
    | ~ greater(cardinality_at_time(X2,X0),zero)
    | ~ subpopulation(X2,X1,X0)
    | ~ constant(cardinality_at_time(X2,X0))
    | ~ environment(X1)
    | growth_rate(X2,X0) = zero ),
    inference(resolution_lifted,[status(thm)],[c_64,c_452]) ).

cnf(c_489,plain,
    ( ~ greater(cardinality_at_time(X0,sK1),zero)
    | ~ subpopulation(X0,sK0,sK1)
    | ~ constant(cardinality_at_time(X0,sK1))
    | ~ environment(sK0)
    | growth_rate(X0,sK1) = zero ),
    inference(unflattening,[status(thm)],[c_488]) ).

cnf(c_491,plain,
    ( ~ constant(cardinality_at_time(X0,sK1))
    | ~ subpopulation(X0,sK0,sK1)
    | ~ greater(cardinality_at_time(X0,sK1),zero)
    | growth_rate(X0,sK1) = zero ),
    inference(global_subsumption_just,[status(thm)],[c_489,c_74,c_489]) ).

cnf(c_492,plain,
    ( ~ greater(cardinality_at_time(X0,sK1),zero)
    | ~ subpopulation(X0,sK0,sK1)
    | ~ constant(cardinality_at_time(X0,sK1))
    | growth_rate(X0,sK1) = zero ),
    inference(renaming,[status(thm)],[c_491]) ).

cnf(c_506,plain,
    ( X0 != sK1
    | X1 != sK0
    | ~ greater(cardinality_at_time(X2,X0),zero)
    | ~ subpopulation(X2,X1,X0)
    | ~ increases(cardinality_at_time(X2,X0))
    | ~ environment(X1)
    | greater(growth_rate(X2,X0),zero) ),
    inference(resolution_lifted,[status(thm)],[c_63,c_452]) ).

cnf(c_507,plain,
    ( ~ greater(cardinality_at_time(X0,sK1),zero)
    | ~ subpopulation(X0,sK0,sK1)
    | ~ increases(cardinality_at_time(X0,sK1))
    | ~ environment(sK0)
    | greater(growth_rate(X0,sK1),zero) ),
    inference(unflattening,[status(thm)],[c_506]) ).

cnf(c_509,plain,
    ( ~ increases(cardinality_at_time(X0,sK1))
    | ~ subpopulation(X0,sK0,sK1)
    | ~ greater(cardinality_at_time(X0,sK1),zero)
    | greater(growth_rate(X0,sK1),zero) ),
    inference(global_subsumption_just,[status(thm)],[c_507,c_74,c_507]) ).

cnf(c_510,plain,
    ( ~ greater(cardinality_at_time(X0,sK1),zero)
    | ~ subpopulation(X0,sK0,sK1)
    | ~ increases(cardinality_at_time(X0,sK1))
    | greater(growth_rate(X0,sK1),zero) ),
    inference(renaming,[status(thm)],[c_509]) ).

cnf(c_524,plain,
    ( X0 != sK1
    | X1 != sK0
    | ~ greater(cardinality_at_time(X2,X0),zero)
    | ~ subpopulation(X2,X1,X0)
    | ~ decreases(cardinality_at_time(X2,X0))
    | ~ environment(X1)
    | greater(zero,growth_rate(X2,X0)) ),
    inference(resolution_lifted,[status(thm)],[c_62,c_452]) ).

cnf(c_525,plain,
    ( ~ greater(cardinality_at_time(X0,sK1),zero)
    | ~ subpopulation(X0,sK0,sK1)
    | ~ decreases(cardinality_at_time(X0,sK1))
    | ~ environment(sK0)
    | greater(zero,growth_rate(X0,sK1)) ),
    inference(unflattening,[status(thm)],[c_524]) ).

cnf(c_527,plain,
    ( ~ decreases(cardinality_at_time(X0,sK1))
    | ~ subpopulation(X0,sK0,sK1)
    | ~ greater(cardinality_at_time(X0,sK1),zero)
    | greater(zero,growth_rate(X0,sK1)) ),
    inference(global_subsumption_just,[status(thm)],[c_525,c_74,c_525]) ).

cnf(c_528,plain,
    ( ~ greater(cardinality_at_time(X0,sK1),zero)
    | ~ subpopulation(X0,sK0,sK1)
    | ~ decreases(cardinality_at_time(X0,sK1))
    | greater(zero,growth_rate(X0,sK1)) ),
    inference(renaming,[status(thm)],[c_527]) ).

cnf(c_565,plain,
    ( X0 != sK0
    | ~ subpopulation(first_movers,X0,X1)
    | sum(cardinality_at_time(first_movers,X1),cardinality_at_time(efficient_producers,X1)) = number_of_organizations(X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_74]) ).

cnf(c_566,plain,
    ( ~ subpopulation(first_movers,sK0,X0)
    | sum(cardinality_at_time(first_movers,X0),cardinality_at_time(efficient_producers,X0)) = number_of_organizations(sK0,X0) ),
    inference(unflattening,[status(thm)],[c_565]) ).

cnf(c_612,plain,
    ( X0 != first_movers
    | sK1 != sK1
    | sK0 != sK0
    | ~ greater(cardinality_at_time(X0,sK1),zero)
    | ~ decreases(cardinality_at_time(X0,sK1))
    | greater(zero,growth_rate(X0,sK1)) ),
    inference(resolution_lifted,[status(thm)],[c_476,c_528]) ).

cnf(c_613,plain,
    ( ~ greater(cardinality_at_time(first_movers,sK1),zero)
    | ~ decreases(cardinality_at_time(first_movers,sK1))
    | greater(zero,growth_rate(first_movers,sK1)) ),
    inference(unflattening,[status(thm)],[c_612]) ).

cnf(c_614,plain,
    ( ~ decreases(cardinality_at_time(first_movers,sK1))
    | greater(zero,growth_rate(first_movers,sK1)) ),
    inference(global_subsumption_just,[status(thm)],[c_613,c_74,c_458,c_613]) ).

cnf(c_622,plain,
    ( X0 != first_movers
    | sK1 != sK1
    | sK0 != sK0
    | ~ greater(cardinality_at_time(X0,sK1),zero)
    | ~ increases(cardinality_at_time(X0,sK1))
    | greater(growth_rate(X0,sK1),zero) ),
    inference(resolution_lifted,[status(thm)],[c_476,c_510]) ).

cnf(c_623,plain,
    ( ~ greater(cardinality_at_time(first_movers,sK1),zero)
    | ~ increases(cardinality_at_time(first_movers,sK1))
    | greater(growth_rate(first_movers,sK1),zero) ),
    inference(unflattening,[status(thm)],[c_622]) ).

cnf(c_624,plain,
    ( ~ increases(cardinality_at_time(first_movers,sK1))
    | greater(growth_rate(first_movers,sK1),zero) ),
    inference(global_subsumption_just,[status(thm)],[c_623,c_74,c_458,c_623]) ).

cnf(c_632,plain,
    ( X0 != first_movers
    | sK1 != sK1
    | sK0 != sK0
    | ~ greater(cardinality_at_time(X0,sK1),zero)
    | ~ constant(cardinality_at_time(X0,sK1))
    | growth_rate(X0,sK1) = zero ),
    inference(resolution_lifted,[status(thm)],[c_476,c_492]) ).

cnf(c_633,plain,
    ( ~ greater(cardinality_at_time(first_movers,sK1),zero)
    | ~ constant(cardinality_at_time(first_movers,sK1))
    | growth_rate(first_movers,sK1) = zero ),
    inference(unflattening,[status(thm)],[c_632]) ).

cnf(c_634,plain,
    ( ~ constant(cardinality_at_time(first_movers,sK1))
    | growth_rate(first_movers,sK1) = zero ),
    inference(global_subsumption_just,[status(thm)],[c_633,c_74,c_458,c_633]) ).

cnf(c_650,plain,
    ( X0 != sK1
    | first_movers != first_movers
    | sK0 != sK0
    | sum(cardinality_at_time(first_movers,X0),cardinality_at_time(efficient_producers,X0)) = number_of_organizations(sK0,X0) ),
    inference(resolution_lifted,[status(thm)],[c_476,c_566]) ).

cnf(c_651,plain,
    sum(cardinality_at_time(first_movers,sK1),cardinality_at_time(efficient_producers,sK1)) = number_of_organizations(sK0,sK1),
    inference(unflattening,[status(thm)],[c_650]) ).

cnf(c_659,plain,
    ( X0 != efficient_producers
    | sK1 != sK1
    | sK0 != sK0
    | ~ greater(cardinality_at_time(X0,sK1),zero)
    | ~ decreases(cardinality_at_time(X0,sK1))
    | greater(zero,growth_rate(X0,sK1)) ),
    inference(resolution_lifted,[status(thm)],[c_483,c_528]) ).

cnf(c_660,plain,
    ( ~ greater(cardinality_at_time(efficient_producers,sK1),zero)
    | ~ decreases(cardinality_at_time(efficient_producers,sK1))
    | greater(zero,growth_rate(efficient_producers,sK1)) ),
    inference(unflattening,[status(thm)],[c_659]) ).

cnf(c_661,plain,
    ( ~ decreases(cardinality_at_time(efficient_producers,sK1))
    | greater(zero,growth_rate(efficient_producers,sK1)) ),
    inference(global_subsumption_just,[status(thm)],[c_660,c_74,c_465,c_660]) ).

cnf(c_669,plain,
    ( X0 != efficient_producers
    | sK1 != sK1
    | sK0 != sK0
    | ~ greater(cardinality_at_time(X0,sK1),zero)
    | ~ increases(cardinality_at_time(X0,sK1))
    | greater(growth_rate(X0,sK1),zero) ),
    inference(resolution_lifted,[status(thm)],[c_483,c_510]) ).

cnf(c_670,plain,
    ( ~ greater(cardinality_at_time(efficient_producers,sK1),zero)
    | ~ increases(cardinality_at_time(efficient_producers,sK1))
    | greater(growth_rate(efficient_producers,sK1),zero) ),
    inference(unflattening,[status(thm)],[c_669]) ).

cnf(c_671,plain,
    ( ~ increases(cardinality_at_time(efficient_producers,sK1))
    | greater(growth_rate(efficient_producers,sK1),zero) ),
    inference(global_subsumption_just,[status(thm)],[c_670,c_74,c_465,c_670]) ).

cnf(c_679,plain,
    ( X0 != efficient_producers
    | sK1 != sK1
    | sK0 != sK0
    | ~ greater(cardinality_at_time(X0,sK1),zero)
    | ~ constant(cardinality_at_time(X0,sK1))
    | growth_rate(X0,sK1) = zero ),
    inference(resolution_lifted,[status(thm)],[c_483,c_492]) ).

cnf(c_680,plain,
    ( ~ greater(cardinality_at_time(efficient_producers,sK1),zero)
    | ~ constant(cardinality_at_time(efficient_producers,sK1))
    | growth_rate(efficient_producers,sK1) = zero ),
    inference(unflattening,[status(thm)],[c_679]) ).

cnf(c_681,plain,
    ( ~ constant(cardinality_at_time(efficient_producers,sK1))
    | growth_rate(efficient_producers,sK1) = zero ),
    inference(global_subsumption_just,[status(thm)],[c_680,c_74,c_465,c_680]) ).

cnf(c_1292,plain,
    ( ~ greater(growth_rate(efficient_producers,sK1),zero)
    | ~ decreases(cardinality_at_time(first_movers,sK1)) ),
    inference(superposition,[status(thm)],[c_614,c_69]) ).

cnf(c_1307,plain,
    ( ~ constant(number_of_organizations(sK0,sK1))
    | increases(cardinality_at_time(efficient_producers,sK1))
    | decreases(cardinality_at_time(efficient_producers,sK1))
    | constant(cardinality_at_time(efficient_producers,sK1)) ),
    inference(superposition,[status(thm)],[c_651,c_54]) ).

cnf(c_1308,plain,
    ( increases(cardinality_at_time(efficient_producers,sK1))
    | decreases(cardinality_at_time(efficient_producers,sK1))
    | constant(cardinality_at_time(efficient_producers,sK1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1307,c_72]) ).

cnf(c_1320,plain,
    ( ~ constant(number_of_organizations(sK0,sK1))
    | increases(cardinality_at_time(efficient_producers,sK1))
    | decreases(cardinality_at_time(efficient_producers,sK1))
    | constant(cardinality_at_time(first_movers,sK1)) ),
    inference(superposition,[status(thm)],[c_651,c_55]) ).

cnf(c_1321,plain,
    ( increases(cardinality_at_time(efficient_producers,sK1))
    | decreases(cardinality_at_time(efficient_producers,sK1))
    | constant(cardinality_at_time(first_movers,sK1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1320,c_72]) ).

cnf(c_1333,plain,
    ( ~ constant(number_of_organizations(sK0,sK1))
    | increases(cardinality_at_time(first_movers,sK1))
    | increases(cardinality_at_time(efficient_producers,sK1))
    | constant(cardinality_at_time(efficient_producers,sK1)) ),
    inference(superposition,[status(thm)],[c_651,c_56]) ).

cnf(c_1334,plain,
    ( increases(cardinality_at_time(first_movers,sK1))
    | increases(cardinality_at_time(efficient_producers,sK1))
    | constant(cardinality_at_time(efficient_producers,sK1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1333,c_72]) ).

cnf(c_1346,plain,
    ( ~ constant(number_of_organizations(sK0,sK1))
    | increases(cardinality_at_time(first_movers,sK1))
    | increases(cardinality_at_time(efficient_producers,sK1))
    | constant(cardinality_at_time(first_movers,sK1)) ),
    inference(superposition,[status(thm)],[c_651,c_57]) ).

cnf(c_1347,plain,
    ( increases(cardinality_at_time(first_movers,sK1))
    | increases(cardinality_at_time(efficient_producers,sK1))
    | constant(cardinality_at_time(first_movers,sK1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1346,c_72]) ).

cnf(c_1359,plain,
    ( ~ greater(growth_rate(first_movers,sK1),zero)
    | ~ decreases(cardinality_at_time(efficient_producers,sK1)) ),
    inference(superposition,[status(thm)],[c_661,c_70]) ).

cnf(c_1374,plain,
    ( ~ constant(number_of_organizations(sK0,sK1))
    | decreases(cardinality_at_time(first_movers,sK1))
    | decreases(cardinality_at_time(efficient_producers,sK1))
    | constant(cardinality_at_time(efficient_producers,sK1)) ),
    inference(superposition,[status(thm)],[c_651,c_58]) ).

cnf(c_1375,plain,
    ( decreases(cardinality_at_time(first_movers,sK1))
    | decreases(cardinality_at_time(efficient_producers,sK1))
    | constant(cardinality_at_time(efficient_producers,sK1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1374,c_72]) ).

cnf(c_1383,plain,
    ( ~ increases(cardinality_at_time(efficient_producers,sK1))
    | ~ decreases(cardinality_at_time(first_movers,sK1)) ),
    inference(superposition,[status(thm)],[c_671,c_1292]) ).

cnf(c_1390,plain,
    ( ~ increases(cardinality_at_time(first_movers,sK1))
    | ~ decreases(cardinality_at_time(efficient_producers,sK1)) ),
    inference(superposition,[status(thm)],[c_624,c_1359]) ).

cnf(c_1393,plain,
    ( decreases(cardinality_at_time(efficient_producers,sK1))
    | constant(cardinality_at_time(efficient_producers,sK1)) ),
    inference(global_subsumption_just,[status(thm)],[c_1308,c_1308,c_1375,c_1383]) ).

cnf(c_1399,plain,
    ( increases(cardinality_at_time(efficient_producers,sK1))
    | constant(cardinality_at_time(first_movers,sK1)) ),
    inference(global_subsumption_just,[status(thm)],[c_1321,c_74,c_71,c_465,c_634,c_680,c_1321,c_1334,c_1347,c_1390,c_1393]) ).

cnf(c_1401,plain,
    increases(cardinality_at_time(efficient_producers,sK1)),
    inference(global_subsumption_just,[status(thm)],[c_1399,c_74,c_71,c_465,c_634,c_680,c_1334,c_1390,c_1393,c_1399]) ).

cnf(c_1420,plain,
    ( ~ constant(number_of_organizations(sK0,sK1))
    | decreases(cardinality_at_time(first_movers,sK1))
    | decreases(cardinality_at_time(efficient_producers,sK1))
    | constant(cardinality_at_time(first_movers,sK1)) ),
    inference(superposition,[status(thm)],[c_651,c_59]) ).

cnf(c_1421,plain,
    ( decreases(cardinality_at_time(first_movers,sK1))
    | decreases(cardinality_at_time(efficient_producers,sK1))
    | constant(cardinality_at_time(first_movers,sK1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1420,c_72]) ).

cnf(c_1433,plain,
    ( ~ constant(number_of_organizations(sK0,sK1))
    | increases(cardinality_at_time(first_movers,sK1))
    | decreases(cardinality_at_time(first_movers,sK1))
    | constant(cardinality_at_time(efficient_producers,sK1)) ),
    inference(superposition,[status(thm)],[c_651,c_60]) ).

cnf(c_1434,plain,
    ( increases(cardinality_at_time(first_movers,sK1))
    | decreases(cardinality_at_time(first_movers,sK1))
    | constant(cardinality_at_time(efficient_producers,sK1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1433,c_72]) ).

cnf(c_1446,plain,
    ( ~ constant(number_of_organizations(sK0,sK1))
    | increases(cardinality_at_time(first_movers,sK1))
    | decreases(cardinality_at_time(first_movers,sK1))
    | constant(cardinality_at_time(first_movers,sK1)) ),
    inference(superposition,[status(thm)],[c_651,c_61]) ).

cnf(c_1447,plain,
    ( increases(cardinality_at_time(first_movers,sK1))
    | decreases(cardinality_at_time(first_movers,sK1))
    | constant(cardinality_at_time(first_movers,sK1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1446,c_72]) ).

cnf(c_1453,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1447,c_1434,c_1421,c_1401,c_1393,c_1390,c_1383,c_681,c_633,c_458,c_71,c_74]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MGT025+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.17/0.34  % Computer : n021.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Mon Aug 28 06:16:58 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.93/1.22  % SZS status Started for theBenchmark.p
% 1.93/1.22  % SZS status Theorem for theBenchmark.p
% 1.93/1.22  
% 1.93/1.22  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.93/1.22  
% 1.93/1.22  ------  iProver source info
% 1.93/1.22  
% 1.93/1.22  git: date: 2023-05-31 18:12:56 +0000
% 1.93/1.22  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.93/1.22  git: non_committed_changes: false
% 1.93/1.22  git: last_make_outside_of_git: false
% 1.93/1.22  
% 1.93/1.22  ------ Parsing...
% 1.93/1.22  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.93/1.22  
% 1.93/1.22  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e 
% 1.93/1.22  
% 1.93/1.22  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.93/1.22  
% 1.93/1.22  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.93/1.22  ------ Proving...
% 1.93/1.22  ------ Problem Properties 
% 1.93/1.22  
% 1.93/1.22  
% 1.93/1.22  clauses                                 21
% 1.93/1.22  conjectures                             4
% 1.93/1.22  EPR                                     0
% 1.93/1.22  Horn                                    13
% 1.93/1.22  unary                                   4
% 1.93/1.22  binary                                  9
% 1.93/1.22  lits                                    54
% 1.93/1.22  lits eq                                 5
% 1.93/1.22  fd_pure                                 0
% 1.93/1.22  fd_pseudo                               0
% 1.93/1.22  fd_cond                                 0
% 1.93/1.22  fd_pseudo_cond                          0
% 1.93/1.22  AC symbols                              0
% 1.93/1.22  
% 1.93/1.22  ------ Schedule dynamic 5 is on 
% 1.93/1.22  
% 1.93/1.22  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.93/1.22  
% 1.93/1.22  
% 1.93/1.22  ------ 
% 1.93/1.22  Current options:
% 1.93/1.22  ------ 
% 1.93/1.22  
% 1.93/1.22  
% 1.93/1.22  
% 1.93/1.22  
% 1.93/1.22  ------ Proving...
% 1.93/1.22  
% 1.93/1.22  
% 1.93/1.22  % SZS status Theorem for theBenchmark.p
% 1.93/1.22  
% 1.93/1.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.93/1.22  
% 1.93/1.22  
%------------------------------------------------------------------------------