TSTP Solution File: MGT020+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : MGT020+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 09:14:13 EDT 2023

% Result   : Theorem 2.00s 1.15s
% Output   : CNFRefutation 2.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   84 (  15 unt;   0 def)
%            Number of atoms       :  256 (  18 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  304 ( 132   ~; 130   |;  26   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :  125 (   0 sgn;  74   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( ( subpopulations(first_movers,efficient_producers,X0,X1)
        & environment(X0) )
     => ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( environment(X0)
     => ( ( subpopulations(first_movers,efficient_producers,X0,X1)
         => greater_or_equal(X1,initial_FM_EP(X0)) )
        & ( in_environment(X0,initial_FM_EP(X0))
         => subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_point) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( ( greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
        & subpopulations(first_movers,efficient_producers,X0,X3)
        & greater_or_equal(X3,X1)
        & greater_or_equal(X1,X2)
        & environment(X0) )
     => ( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
       => greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_function_difference) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ( subpopulations(first_movers,efficient_producers,X0,X1)
        & environment(X0) )
     => in_environment(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occurs) ).

fof(f5,axiom,
    ! [X0] :
      ( environment(X0)
     => greater_or_equal(initial_FM_EP(X0),start_time(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_initial_time) ).

fof(f6,axiom,
    ! [X0,X2,X3] :
      ( ( in_environment(X0,X3)
        & greater(X3,X2)
        & greater_or_equal(X2,start_time(X0))
        & environment(X0) )
     => in_environment(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_times_in_order) ).

fof(f8,axiom,
    ! [X4,X5] :
      ( greater_or_equal(X4,X5)
     => ( X4 = X5
        | greater(X4,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).

fof(f9,axiom,
    ! [X0] :
      ( environment(X0)
     => greater(disbanding_rate(first_movers,initial_FM_EP(X0)),disbanding_rate(efficient_producers,initial_FM_EP(X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a8) ).

fof(f11,conjecture,
    ! [X0,X1] :
      ( ( subpopulations(first_movers,efficient_producers,X0,X1)
        & environment(X0) )
     => greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l2) ).

fof(f12,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( subpopulations(first_movers,efficient_producers,X0,X1)
          & environment(X0) )
       => greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)) ),
    inference(negated_conjecture,[],[f11]) ).

fof(f13,plain,
    ! [X0,X1,X2] :
      ( ( in_environment(X0,X2)
        & greater(X2,X1)
        & greater_or_equal(X1,start_time(X0))
        & environment(X0) )
     => in_environment(X0,X1) ),
    inference(rectify,[],[f6]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( greater_or_equal(X0,X1)
     => ( X0 = X1
        | greater(X0,X1) ) ),
    inference(rectify,[],[f8]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f1]) ).

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

fof(f19,plain,
    ! [X0,X1] :
      ( ( ( greater_or_equal(X1,initial_FM_EP(X0))
          | ~ subpopulations(first_movers,efficient_producers,X0,X1) )
        & ( subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0))
          | ~ in_environment(X0,initial_FM_EP(X0)) ) )
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f20,plain,
    ! [X0,X1,X2,X3] :
      ( greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
      | decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
      | ~ greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
      | ~ subpopulations(first_movers,efficient_producers,X0,X3)
      | ~ greater_or_equal(X3,X1)
      | ~ greater_or_equal(X1,X2)
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f21,plain,
    ! [X0,X1,X2,X3] :
      ( greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
      | decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
      | ~ greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
      | ~ subpopulations(first_movers,efficient_producers,X0,X3)
      | ~ greater_or_equal(X3,X1)
      | ~ greater_or_equal(X1,X2)
      | ~ environment(X0) ),
    inference(flattening,[],[f20]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( in_environment(X0,X1)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( in_environment(X0,X1)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(flattening,[],[f22]) ).

fof(f24,plain,
    ! [X0] :
      ( greater_or_equal(initial_FM_EP(X0),start_time(X0))
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( in_environment(X0,X1)
      | ~ in_environment(X0,X2)
      | ~ greater(X2,X1)
      | ~ greater_or_equal(X1,start_time(X0))
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( in_environment(X0,X1)
      | ~ in_environment(X0,X2)
      | ~ greater(X2,X1)
      | ~ greater_or_equal(X1,start_time(X0))
      | ~ environment(X0) ),
    inference(flattening,[],[f25]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( X0 = X1
      | greater(X0,X1)
      | ~ greater_or_equal(X0,X1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( X0 = X1
      | greater(X0,X1)
      | ~ greater_or_equal(X0,X1) ),
    inference(flattening,[],[f29]) ).

fof(f31,plain,
    ! [X0] :
      ( greater(disbanding_rate(first_movers,initial_FM_EP(X0)),disbanding_rate(efficient_producers,initial_FM_EP(X0)))
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f34,plain,
    ? [X0,X1] :
      ( ~ greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
      & subpopulations(first_movers,efficient_producers,X0,X1)
      & environment(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f35,plain,
    ? [X0,X1] :
      ( ~ greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
      & subpopulations(first_movers,efficient_producers,X0,X1)
      & environment(X0) ),
    inference(flattening,[],[f34]) ).

fof(f36,plain,
    ( ? [X0,X1] :
        ( ~ greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
        & subpopulations(first_movers,efficient_producers,X0,X1)
        & environment(X0) )
   => ( ~ greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))
      & subpopulations(first_movers,efficient_producers,sK0,sK1)
      & environment(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f37,plain,
    ( ~ greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))
    & subpopulations(first_movers,efficient_producers,sK0,sK1)
    & environment(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f35,f36]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f39,plain,
    ! [X0] :
      ( subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0))
      | ~ in_environment(X0,initial_FM_EP(X0))
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( greater_or_equal(X1,initial_FM_EP(X0))
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f41,plain,
    ! [X2,X3,X0,X1] :
      ( greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
      | decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
      | ~ greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
      | ~ subpopulations(first_movers,efficient_producers,X0,X3)
      | ~ greater_or_equal(X3,X1)
      | ~ greater_or_equal(X1,X2)
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( in_environment(X0,X1)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f43,plain,
    ! [X0] :
      ( greater_or_equal(initial_FM_EP(X0),start_time(X0))
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( in_environment(X0,X1)
      | ~ in_environment(X0,X2)
      | ~ greater(X2,X1)
      | ~ greater_or_equal(X1,start_time(X0))
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( X0 = X1
      | greater(X0,X1)
      | ~ greater_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f47,plain,
    ! [X0] :
      ( greater(disbanding_rate(first_movers,initial_FM_EP(X0)),disbanding_rate(efficient_producers,initial_FM_EP(X0)))
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f49,plain,
    environment(sK0),
    inference(cnf_transformation,[],[f37]) ).

fof(f50,plain,
    subpopulations(first_movers,efficient_producers,sK0,sK1),
    inference(cnf_transformation,[],[f37]) ).

fof(f51,plain,
    ~ greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_49,plain,
    ( ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
    | ~ subpopulations(first_movers,efficient_producers,X1,X0)
    | ~ environment(X1) ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_50,plain,
    ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
    | ~ environment(X0)
    | greater_or_equal(X1,initial_FM_EP(X0)) ),
    inference(cnf_transformation,[],[f40]) ).

cnf(c_51,plain,
    ( ~ in_environment(X0,initial_FM_EP(X0))
    | ~ environment(X0)
    | subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0)) ),
    inference(cnf_transformation,[],[f39]) ).

cnf(c_52,plain,
    ( ~ greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ greater_or_equal(X2,X3)
    | ~ greater_or_equal(X3,X0)
    | ~ environment(X1)
    | decreases(difference(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3)))
    | greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)) ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_53,plain,
    ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
    | ~ environment(X0)
    | in_environment(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_54,plain,
    ( ~ environment(X0)
    | greater_or_equal(initial_FM_EP(X0),start_time(X0)) ),
    inference(cnf_transformation,[],[f43]) ).

cnf(c_55,plain,
    ( ~ greater_or_equal(X0,start_time(X1))
    | ~ in_environment(X1,X2)
    | ~ greater(X2,X0)
    | ~ environment(X1)
    | in_environment(X1,X0) ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_57,plain,
    ( ~ greater_or_equal(X0,X1)
    | X0 = X1
    | greater(X0,X1) ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_58,plain,
    ( ~ environment(X0)
    | greater(disbanding_rate(first_movers,initial_FM_EP(X0)),disbanding_rate(efficient_producers,initial_FM_EP(X0))) ),
    inference(cnf_transformation,[],[f47]) ).

cnf(c_60,negated_conjecture,
    ~ greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)),
    inference(cnf_transformation,[],[f51]) ).

cnf(c_61,negated_conjecture,
    subpopulations(first_movers,efficient_producers,sK0,sK1),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_62,negated_conjecture,
    environment(sK0),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_282,plain,
    ( X0 != sK0
    | ~ greater_or_equal(X1,start_time(X0))
    | ~ in_environment(X0,X2)
    | ~ greater(X2,X1)
    | in_environment(X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_55,c_62]) ).

cnf(c_283,plain,
    ( ~ greater_or_equal(X0,start_time(sK0))
    | ~ greater(X1,X0)
    | ~ in_environment(sK0,X1)
    | in_environment(sK0,X0) ),
    inference(unflattening,[status(thm)],[c_282]) ).

cnf(c_296,plain,
    ( X0 != sK0
    | ~ greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
    | ~ subpopulations(first_movers,efficient_producers,X0,X2)
    | ~ greater_or_equal(X2,X3)
    | ~ greater_or_equal(X3,X1)
    | decreases(difference(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3)))
    | greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_62]) ).

cnf(c_297,plain,
    ( ~ greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))
    | ~ subpopulations(first_movers,efficient_producers,sK0,X1)
    | ~ greater_or_equal(X1,X2)
    | ~ greater_or_equal(X2,X0)
    | decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))
    | greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)) ),
    inference(unflattening,[status(thm)],[c_296]) ).

cnf(c_316,plain,
    ( X0 != sK0
    | ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
    | ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_62]) ).

cnf(c_317,plain,
    ( ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
    | ~ subpopulations(first_movers,efficient_producers,sK0,X0) ),
    inference(unflattening,[status(thm)],[c_316]) ).

cnf(c_342,plain,
    ( X0 != sK0
    | greater(disbanding_rate(first_movers,initial_FM_EP(X0)),disbanding_rate(efficient_producers,initial_FM_EP(X0))) ),
    inference(resolution_lifted,[status(thm)],[c_58,c_62]) ).

cnf(c_343,plain,
    greater(disbanding_rate(first_movers,initial_FM_EP(sK0)),disbanding_rate(efficient_producers,initial_FM_EP(sK0))),
    inference(unflattening,[status(thm)],[c_342]) ).

cnf(c_347,plain,
    ( X0 != sK0
    | greater_or_equal(initial_FM_EP(X0),start_time(X0)) ),
    inference(resolution_lifted,[status(thm)],[c_54,c_62]) ).

cnf(c_348,plain,
    greater_or_equal(initial_FM_EP(sK0),start_time(sK0)),
    inference(unflattening,[status(thm)],[c_347]) ).

cnf(c_352,plain,
    ( X0 != sK0
    | ~ subpopulations(first_movers,efficient_producers,X0,X1)
    | in_environment(X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_62]) ).

cnf(c_353,plain,
    ( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
    | in_environment(sK0,X0) ),
    inference(unflattening,[status(thm)],[c_352]) ).

cnf(c_361,plain,
    ( X0 != sK0
    | ~ in_environment(X0,initial_FM_EP(X0))
    | subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0)) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_62]) ).

cnf(c_362,plain,
    ( ~ in_environment(sK0,initial_FM_EP(sK0))
    | subpopulations(first_movers,efficient_producers,sK0,initial_FM_EP(sK0)) ),
    inference(unflattening,[status(thm)],[c_361]) ).

cnf(c_369,plain,
    ( X0 != sK0
    | ~ subpopulations(first_movers,efficient_producers,X0,X1)
    | greater_or_equal(X1,initial_FM_EP(X0)) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_62]) ).

cnf(c_370,plain,
    ( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
    | greater_or_equal(X0,initial_FM_EP(sK0)) ),
    inference(unflattening,[status(thm)],[c_369]) ).

cnf(c_889,plain,
    in_environment(sK0,sK1),
    inference(superposition,[status(thm)],[c_61,c_353]) ).

cnf(c_894,plain,
    greater_or_equal(sK1,initial_FM_EP(sK0)),
    inference(superposition,[status(thm)],[c_61,c_370]) ).

cnf(c_916,plain,
    ( initial_FM_EP(sK0) = sK1
    | greater(sK1,initial_FM_EP(sK0)) ),
    inference(superposition,[status(thm)],[c_894,c_57]) ).

cnf(c_974,plain,
    ( ~ greater(X0,initial_FM_EP(sK0))
    | ~ in_environment(sK0,X0)
    | in_environment(sK0,initial_FM_EP(sK0)) ),
    inference(superposition,[status(thm)],[c_348,c_283]) ).

cnf(c_1060,plain,
    ( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
    | ~ greater_or_equal(X1,initial_FM_EP(sK0))
    | ~ greater_or_equal(X0,X1)
    | decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
    | greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)) ),
    inference(superposition,[status(thm)],[c_343,c_297]) ).

cnf(c_1091,plain,
    ( ~ in_environment(sK0,sK1)
    | initial_FM_EP(sK0) = sK1
    | in_environment(sK0,initial_FM_EP(sK0)) ),
    inference(superposition,[status(thm)],[c_916,c_974]) ).

cnf(c_1092,plain,
    ( initial_FM_EP(sK0) = sK1
    | in_environment(sK0,initial_FM_EP(sK0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1091,c_889]) ).

cnf(c_2071,plain,
    ( ~ subpopulations(first_movers,efficient_producers,sK0,sK1)
    | ~ greater_or_equal(initial_FM_EP(sK0),initial_FM_EP(sK0))
    | decreases(difference(disbanding_rate(first_movers,initial_FM_EP(sK0)),disbanding_rate(efficient_producers,initial_FM_EP(sK0))))
    | greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)) ),
    inference(superposition,[status(thm)],[c_894,c_1060]) ).

cnf(c_2076,plain,
    ( ~ greater_or_equal(initial_FM_EP(sK0),initial_FM_EP(sK0))
    | decreases(difference(disbanding_rate(first_movers,initial_FM_EP(sK0)),disbanding_rate(efficient_producers,initial_FM_EP(sK0)))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2071,c_60,c_61]) ).

cnf(c_2169,plain,
    ( ~ subpopulations(first_movers,efficient_producers,sK0,initial_FM_EP(sK0))
    | ~ greater_or_equal(initial_FM_EP(sK0),initial_FM_EP(sK0)) ),
    inference(superposition,[status(thm)],[c_2076,c_317]) ).

cnf(c_2174,plain,
    ~ subpopulations(first_movers,efficient_producers,sK0,initial_FM_EP(sK0)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2169,c_370]) ).

cnf(c_2178,plain,
    ~ in_environment(sK0,initial_FM_EP(sK0)),
    inference(backward_subsumption_resolution,[status(thm)],[c_362,c_2174]) ).

cnf(c_2186,plain,
    initial_FM_EP(sK0) = sK1,
    inference(backward_subsumption_resolution,[status(thm)],[c_1092,c_2178]) ).

cnf(c_2207,plain,
    greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)),
    inference(demodulation,[status(thm)],[c_343,c_2186]) ).

cnf(c_2210,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2207,c_60]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MGT020+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n002.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Mon Aug 28 06:52:34 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.00/1.15  % SZS status Started for theBenchmark.p
% 2.00/1.15  % SZS status Theorem for theBenchmark.p
% 2.00/1.15  
% 2.00/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.00/1.15  
% 2.00/1.15  ------  iProver source info
% 2.00/1.15  
% 2.00/1.15  git: date: 2023-05-31 18:12:56 +0000
% 2.00/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.00/1.15  git: non_committed_changes: false
% 2.00/1.15  git: last_make_outside_of_git: false
% 2.00/1.15  
% 2.00/1.15  ------ Parsing...
% 2.00/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.00/1.15  
% 2.00/1.15  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 2.00/1.15  
% 2.00/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.00/1.15  
% 2.00/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.00/1.15  ------ Proving...
% 2.00/1.15  ------ Problem Properties 
% 2.00/1.15  
% 2.00/1.15  
% 2.00/1.15  clauses                                 13
% 2.00/1.15  conjectures                             2
% 2.00/1.15  EPR                                     5
% 2.00/1.15  Horn                                    11
% 2.00/1.15  unary                                   4
% 2.00/1.15  binary                                  4
% 2.00/1.15  lits                                    33
% 2.00/1.15  lits eq                                 1
% 2.00/1.15  fd_pure                                 0
% 2.00/1.15  fd_pseudo                               0
% 2.00/1.15  fd_cond                                 0
% 2.00/1.15  fd_pseudo_cond                          1
% 2.00/1.15  AC symbols                              0
% 2.00/1.15  
% 2.00/1.15  ------ Schedule dynamic 5 is on 
% 2.00/1.15  
% 2.00/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.00/1.15  
% 2.00/1.15  
% 2.00/1.15  ------ 
% 2.00/1.15  Current options:
% 2.00/1.15  ------ 
% 2.00/1.15  
% 2.00/1.15  
% 2.00/1.15  
% 2.00/1.15  
% 2.00/1.15  ------ Proving...
% 2.00/1.15  
% 2.00/1.15  
% 2.00/1.15  % SZS status Theorem for theBenchmark.p
% 2.00/1.15  
% 2.00/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.00/1.15  
% 2.00/1.15  
%------------------------------------------------------------------------------