TSTP Solution File: MGT039+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : MGT039+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.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 09:14:31 EDT 2023

% Result   : Theorem 1.26s 1.15s
% Output   : CNFRefutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  140 (  25 unt;   0 def)
%            Number of atoms       :  425 (  50 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  495 ( 210   ~; 214   |;  50   &)
%                                         (   2 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-1 aty)
%            Number of variables   :  153 (   0 sgn;  88   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] :
      ( ( ! [X1] :
            ( ( in_environment(X0,X1)
              & environment(X1) )
           => selection_favors(efficient_producers,first_movers,end_time(X1)) )
        & propagation_strategy(efficient_producers)
        & propagation_strategy(first_movers)
        & observational_period(X0) )
     => selection_favors(efficient_producers,first_movers,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy) ).

fof(f2,axiom,
    ! [X0] :
      ( ( slow_change(X0)
        & observational_period(X0) )
     => ! [X1] :
          ( ( in_environment(X0,X1)
            & environment(X1) )
         => ? [X2] :
              ( greater(X2,critical_point(X1))
              & in_environment(X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_critical_point) ).

fof(f3,axiom,
    propagation_strategy(first_movers),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets1) ).

fof(f4,axiom,
    propagation_strategy(efficient_producers),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets2) ).

fof(f5,axiom,
    ! [X1,X2] :
      ( ( greater_or_equal(end_time(X1),X2)
        & greater_or_equal(X2,start_time(X1))
        & environment(X1) )
     => in_environment(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_in_environment) ).

fof(f6,axiom,
    ! [X1,X2] :
      ( ( in_environment(X1,X2)
        & environment(X1) )
     => greater_or_equal(end_time(X1),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_end_point) ).

fof(f7,axiom,
    ! [X1] :
      ( environment(X1)
     => greater_or_equal(critical_point(X1),start_time(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_of_critical_point) ).

fof(f8,axiom,
    ! [X3,X4,X5] :
      ( ( greater(X4,X5)
        & greater(X3,X4) )
     => greater(X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity) ).

fof(f9,axiom,
    ! [X3,X4] :
      ( greater_or_equal(X3,X4)
    <=> ( X3 = X4
        | greater(X3,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal) ).

fof(f11,axiom,
    ! [X1,X2] :
      ( ( greater(X2,critical_point(X1))
        & in_environment(X1,X2)
        & environment(X1) )
     => selection_favors(efficient_producers,first_movers,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l8) ).

fof(f12,conjecture,
    ! [X0] :
      ( ( slow_change(X0)
        & observational_period(X0) )
     => selection_favors(efficient_producers,first_movers,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8) ).

fof(f13,negated_conjecture,
    ~ ! [X0] :
        ( ( slow_change(X0)
          & observational_period(X0) )
       => selection_favors(efficient_producers,first_movers,X0) ),
    inference(negated_conjecture,[],[f12]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ( greater_or_equal(end_time(X0),X1)
        & greater_or_equal(X1,start_time(X0))
        & environment(X0) )
     => in_environment(X0,X1) ),
    inference(rectify,[],[f5]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ( in_environment(X0,X1)
        & environment(X0) )
     => greater_or_equal(end_time(X0),X1) ),
    inference(rectify,[],[f6]) ).

fof(f16,plain,
    ! [X0] :
      ( environment(X0)
     => greater_or_equal(critical_point(X0),start_time(X0)) ),
    inference(rectify,[],[f7]) ).

fof(f17,plain,
    ! [X0,X1,X2] :
      ( ( greater(X1,X2)
        & greater(X0,X1) )
     => greater(X0,X2) ),
    inference(rectify,[],[f8]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( greater_or_equal(X0,X1)
    <=> ( X0 = X1
        | greater(X0,X1) ) ),
    inference(rectify,[],[f9]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ( greater(X1,critical_point(X0))
        & in_environment(X0,X1)
        & environment(X0) )
     => selection_favors(efficient_producers,first_movers,X1) ),
    inference(rectify,[],[f11]) ).

fof(f21,plain,
    ! [X0] :
      ( selection_favors(efficient_producers,first_movers,X0)
      | ? [X1] :
          ( ~ selection_favors(efficient_producers,first_movers,end_time(X1))
          & in_environment(X0,X1)
          & environment(X1) )
      | ~ propagation_strategy(efficient_producers)
      | ~ propagation_strategy(first_movers)
      | ~ observational_period(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f22,plain,
    ! [X0] :
      ( selection_favors(efficient_producers,first_movers,X0)
      | ? [X1] :
          ( ~ selection_favors(efficient_producers,first_movers,end_time(X1))
          & in_environment(X0,X1)
          & environment(X1) )
      | ~ propagation_strategy(efficient_producers)
      | ~ propagation_strategy(first_movers)
      | ~ observational_period(X0) ),
    inference(flattening,[],[f21]) ).

fof(f23,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( greater(X2,critical_point(X1))
              & in_environment(X1,X2) )
          | ~ in_environment(X0,X1)
          | ~ environment(X1) )
      | ~ slow_change(X0)
      | ~ observational_period(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f24,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( greater(X2,critical_point(X1))
              & in_environment(X1,X2) )
          | ~ in_environment(X0,X1)
          | ~ environment(X1) )
      | ~ slow_change(X0)
      | ~ observational_period(X0) ),
    inference(flattening,[],[f23]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( in_environment(X0,X1)
      | ~ greater_or_equal(end_time(X0),X1)
      | ~ greater_or_equal(X1,start_time(X0))
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f14]) ).

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

fof(f27,plain,
    ! [X0,X1] :
      ( greater_or_equal(end_time(X0),X1)
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( greater_or_equal(end_time(X0),X1)
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(flattening,[],[f27]) ).

fof(f29,plain,
    ! [X0] :
      ( greater_or_equal(critical_point(X0),start_time(X0))
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f30,plain,
    ! [X0,X1,X2] :
      ( greater(X0,X2)
      | ~ greater(X1,X2)
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( greater(X0,X2)
      | ~ greater(X1,X2)
      | ~ greater(X0,X1) ),
    inference(flattening,[],[f30]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( selection_favors(efficient_producers,first_movers,X1)
      | ~ greater(X1,critical_point(X0))
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( selection_favors(efficient_producers,first_movers,X1)
      | ~ greater(X1,critical_point(X0))
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(flattening,[],[f34]) ).

fof(f36,plain,
    ? [X0] :
      ( ~ selection_favors(efficient_producers,first_movers,X0)
      & slow_change(X0)
      & observational_period(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f37,plain,
    ? [X0] :
      ( ~ selection_favors(efficient_producers,first_movers,X0)
      & slow_change(X0)
      & observational_period(X0) ),
    inference(flattening,[],[f36]) ).

fof(f38,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ selection_favors(efficient_producers,first_movers,end_time(X1))
          & in_environment(X0,X1)
          & environment(X1) )
     => ( ~ selection_favors(efficient_producers,first_movers,end_time(sK0(X0)))
        & in_environment(X0,sK0(X0))
        & environment(sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f39,plain,
    ! [X0] :
      ( selection_favors(efficient_producers,first_movers,X0)
      | ( ~ selection_favors(efficient_producers,first_movers,end_time(sK0(X0)))
        & in_environment(X0,sK0(X0))
        & environment(sK0(X0)) )
      | ~ propagation_strategy(efficient_producers)
      | ~ propagation_strategy(first_movers)
      | ~ observational_period(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f22,f38]) ).

fof(f40,plain,
    ! [X1] :
      ( ? [X2] :
          ( greater(X2,critical_point(X1))
          & in_environment(X1,X2) )
     => ( greater(sK1(X1),critical_point(X1))
        & in_environment(X1,sK1(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f41,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( greater(sK1(X1),critical_point(X1))
            & in_environment(X1,sK1(X1)) )
          | ~ in_environment(X0,X1)
          | ~ environment(X1) )
      | ~ slow_change(X0)
      | ~ observational_period(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f24,f40]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ( greater_or_equal(X0,X1)
        | ( X0 != X1
          & ~ greater(X0,X1) ) )
      & ( X0 = X1
        | greater(X0,X1)
        | ~ greater_or_equal(X0,X1) ) ),
    inference(nnf_transformation,[],[f18]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ( greater_or_equal(X0,X1)
        | ( X0 != X1
          & ~ greater(X0,X1) ) )
      & ( X0 = X1
        | greater(X0,X1)
        | ~ greater_or_equal(X0,X1) ) ),
    inference(flattening,[],[f42]) ).

fof(f44,plain,
    ( ? [X0] :
        ( ~ selection_favors(efficient_producers,first_movers,X0)
        & slow_change(X0)
        & observational_period(X0) )
   => ( ~ selection_favors(efficient_producers,first_movers,sK2)
      & slow_change(sK2)
      & observational_period(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f45,plain,
    ( ~ selection_favors(efficient_producers,first_movers,sK2)
    & slow_change(sK2)
    & observational_period(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f37,f44]) ).

fof(f46,plain,
    ! [X0] :
      ( selection_favors(efficient_producers,first_movers,X0)
      | environment(sK0(X0))
      | ~ propagation_strategy(efficient_producers)
      | ~ propagation_strategy(first_movers)
      | ~ observational_period(X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f47,plain,
    ! [X0] :
      ( selection_favors(efficient_producers,first_movers,X0)
      | in_environment(X0,sK0(X0))
      | ~ propagation_strategy(efficient_producers)
      | ~ propagation_strategy(first_movers)
      | ~ observational_period(X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f48,plain,
    ! [X0] :
      ( selection_favors(efficient_producers,first_movers,X0)
      | ~ selection_favors(efficient_producers,first_movers,end_time(sK0(X0)))
      | ~ propagation_strategy(efficient_producers)
      | ~ propagation_strategy(first_movers)
      | ~ observational_period(X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( in_environment(X1,sK1(X1))
      | ~ in_environment(X0,X1)
      | ~ environment(X1)
      | ~ slow_change(X0)
      | ~ observational_period(X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( greater(sK1(X1),critical_point(X1))
      | ~ in_environment(X0,X1)
      | ~ environment(X1)
      | ~ slow_change(X0)
      | ~ observational_period(X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f51,plain,
    propagation_strategy(first_movers),
    inference(cnf_transformation,[],[f3]) ).

fof(f52,plain,
    propagation_strategy(efficient_producers),
    inference(cnf_transformation,[],[f4]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( in_environment(X0,X1)
      | ~ greater_or_equal(end_time(X0),X1)
      | ~ greater_or_equal(X1,start_time(X0))
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( greater_or_equal(end_time(X0),X1)
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f55,plain,
    ! [X0] :
      ( greater_or_equal(critical_point(X0),start_time(X0))
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( greater(X0,X2)
      | ~ greater(X1,X2)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( X0 = X1
      | greater(X0,X1)
      | ~ greater_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( greater_or_equal(X0,X1)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( greater_or_equal(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( selection_favors(efficient_producers,first_movers,X1)
      | ~ greater(X1,critical_point(X0))
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f62,plain,
    observational_period(sK2),
    inference(cnf_transformation,[],[f45]) ).

fof(f63,plain,
    slow_change(sK2),
    inference(cnf_transformation,[],[f45]) ).

fof(f64,plain,
    ~ selection_favors(efficient_producers,first_movers,sK2),
    inference(cnf_transformation,[],[f45]) ).

fof(f65,plain,
    ! [X1] : greater_or_equal(X1,X1),
    inference(equality_resolution,[],[f59]) ).

cnf(c_49,plain,
    ( ~ selection_favors(efficient_producers,first_movers,end_time(sK0(X0)))
    | ~ observational_period(X0)
    | ~ propagation_strategy(efficient_producers)
    | ~ propagation_strategy(first_movers)
    | selection_favors(efficient_producers,first_movers,X0) ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_50,plain,
    ( ~ observational_period(X0)
    | ~ propagation_strategy(efficient_producers)
    | ~ propagation_strategy(first_movers)
    | in_environment(X0,sK0(X0))
    | selection_favors(efficient_producers,first_movers,X0) ),
    inference(cnf_transformation,[],[f47]) ).

cnf(c_51,plain,
    ( ~ observational_period(X0)
    | ~ propagation_strategy(efficient_producers)
    | ~ propagation_strategy(first_movers)
    | selection_favors(efficient_producers,first_movers,X0)
    | environment(sK0(X0)) ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_52,plain,
    ( ~ in_environment(X0,X1)
    | ~ observational_period(X0)
    | ~ environment(X1)
    | ~ slow_change(X0)
    | greater(sK1(X1),critical_point(X1)) ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_53,plain,
    ( ~ in_environment(X0,X1)
    | ~ observational_period(X0)
    | ~ environment(X1)
    | ~ slow_change(X0)
    | in_environment(X1,sK1(X1)) ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_54,plain,
    propagation_strategy(first_movers),
    inference(cnf_transformation,[],[f51]) ).

cnf(c_55,plain,
    propagation_strategy(efficient_producers),
    inference(cnf_transformation,[],[f52]) ).

cnf(c_56,plain,
    ( ~ greater_or_equal(end_time(X0),X1)
    | ~ greater_or_equal(X1,start_time(X0))
    | ~ environment(X0)
    | in_environment(X0,X1) ),
    inference(cnf_transformation,[],[f53]) ).

cnf(c_57,plain,
    ( ~ in_environment(X0,X1)
    | ~ environment(X0)
    | greater_or_equal(end_time(X0),X1) ),
    inference(cnf_transformation,[],[f54]) ).

cnf(c_58,plain,
    ( ~ environment(X0)
    | greater_or_equal(critical_point(X0),start_time(X0)) ),
    inference(cnf_transformation,[],[f55]) ).

cnf(c_59,plain,
    ( ~ greater(X0,X1)
    | ~ greater(X1,X2)
    | greater(X0,X2) ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_60,plain,
    greater_or_equal(X0,X0),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_61,plain,
    ( ~ greater(X0,X1)
    | greater_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_62,plain,
    ( ~ greater_or_equal(X0,X1)
    | X0 = X1
    | greater(X0,X1) ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_64,plain,
    ( ~ greater(X0,critical_point(X1))
    | ~ in_environment(X1,X0)
    | ~ environment(X1)
    | selection_favors(efficient_producers,first_movers,X0) ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_65,negated_conjecture,
    ~ selection_favors(efficient_producers,first_movers,sK2),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_66,negated_conjecture,
    slow_change(sK2),
    inference(cnf_transformation,[],[f63]) ).

cnf(c_67,negated_conjecture,
    observational_period(sK2),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_80,plain,
    ( ~ observational_period(X0)
    | selection_favors(efficient_producers,first_movers,X0)
    | environment(sK0(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_51,c_55,c_54,c_51]) ).

cnf(c_83,plain,
    ( ~ observational_period(X0)
    | in_environment(X0,sK0(X0))
    | selection_favors(efficient_producers,first_movers,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_50,c_55,c_54,c_50]) ).

cnf(c_86,plain,
    ( ~ selection_favors(efficient_producers,first_movers,end_time(sK0(X0)))
    | ~ observational_period(X0)
    | selection_favors(efficient_producers,first_movers,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_49,c_55,c_54,c_49]) ).

cnf(c_287,plain,
    ( X0 != sK2
    | ~ in_environment(X0,X1)
    | ~ observational_period(X0)
    | ~ environment(X1)
    | in_environment(X1,sK1(X1)) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_66]) ).

cnf(c_288,plain,
    ( ~ in_environment(sK2,X0)
    | ~ environment(X0)
    | ~ observational_period(sK2)
    | in_environment(X0,sK1(X0)) ),
    inference(unflattening,[status(thm)],[c_287]) ).

cnf(c_290,plain,
    ( ~ environment(X0)
    | ~ in_environment(sK2,X0)
    | in_environment(X0,sK1(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_288,c_67,c_288]) ).

cnf(c_291,plain,
    ( ~ in_environment(sK2,X0)
    | ~ environment(X0)
    | in_environment(X0,sK1(X0)) ),
    inference(renaming,[status(thm)],[c_290]) ).

cnf(c_302,plain,
    ( X0 != sK2
    | ~ in_environment(X0,X1)
    | ~ observational_period(X0)
    | ~ environment(X1)
    | greater(sK1(X1),critical_point(X1)) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_66]) ).

cnf(c_303,plain,
    ( ~ in_environment(sK2,X0)
    | ~ environment(X0)
    | ~ observational_period(sK2)
    | greater(sK1(X0),critical_point(X0)) ),
    inference(unflattening,[status(thm)],[c_302]) ).

cnf(c_305,plain,
    ( ~ environment(X0)
    | ~ in_environment(sK2,X0)
    | greater(sK1(X0),critical_point(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_303,c_67,c_303]) ).

cnf(c_306,plain,
    ( ~ in_environment(sK2,X0)
    | ~ environment(X0)
    | greater(sK1(X0),critical_point(X0)) ),
    inference(renaming,[status(thm)],[c_305]) ).

cnf(c_323,plain,
    ( X0 != sK2
    | ~ selection_favors(efficient_producers,first_movers,end_time(sK0(X0)))
    | selection_favors(efficient_producers,first_movers,X0) ),
    inference(resolution_lifted,[status(thm)],[c_86,c_67]) ).

cnf(c_324,plain,
    ( ~ selection_favors(efficient_producers,first_movers,end_time(sK0(sK2)))
    | selection_favors(efficient_producers,first_movers,sK2) ),
    inference(unflattening,[status(thm)],[c_323]) ).

cnf(c_325,plain,
    ~ selection_favors(efficient_producers,first_movers,end_time(sK0(sK2))),
    inference(global_subsumption_just,[status(thm)],[c_324,c_65,c_324]) ).

cnf(c_330,plain,
    ( X0 != sK2
    | in_environment(X0,sK0(X0))
    | selection_favors(efficient_producers,first_movers,X0) ),
    inference(resolution_lifted,[status(thm)],[c_83,c_67]) ).

cnf(c_331,plain,
    ( selection_favors(efficient_producers,first_movers,sK2)
    | in_environment(sK2,sK0(sK2)) ),
    inference(unflattening,[status(thm)],[c_330]) ).

cnf(c_337,plain,
    ( X0 != sK2
    | selection_favors(efficient_producers,first_movers,X0)
    | environment(sK0(X0)) ),
    inference(resolution_lifted,[status(thm)],[c_80,c_67]) ).

cnf(c_338,plain,
    ( selection_favors(efficient_producers,first_movers,sK2)
    | environment(sK0(sK2)) ),
    inference(unflattening,[status(thm)],[c_337]) ).

cnf(c_339,plain,
    environment(sK0(sK2)),
    inference(global_subsumption_just,[status(thm)],[c_338,c_65,c_338]) ).

cnf(c_359,plain,
    ( end_time(sK0(sK2)) != X0
    | efficient_producers != efficient_producers
    | first_movers != first_movers
    | ~ greater(X0,critical_point(X1))
    | ~ in_environment(X1,X0)
    | ~ environment(X1) ),
    inference(resolution_lifted,[status(thm)],[c_64,c_325]) ).

cnf(c_360,plain,
    ( ~ greater(end_time(sK0(sK2)),critical_point(X0))
    | ~ in_environment(X0,end_time(sK0(sK2)))
    | ~ environment(X0) ),
    inference(unflattening,[status(thm)],[c_359]) ).

cnf(c_389,plain,
    ( sK0(sK2) != X0
    | ~ greater(end_time(sK0(sK2)),critical_point(X0))
    | ~ in_environment(X0,end_time(sK0(sK2))) ),
    inference(resolution_lifted,[status(thm)],[c_360,c_339]) ).

cnf(c_390,plain,
    ( ~ greater(end_time(sK0(sK2)),critical_point(sK0(sK2)))
    | ~ in_environment(sK0(sK2),end_time(sK0(sK2))) ),
    inference(unflattening,[status(thm)],[c_389]) ).

cnf(c_405,plain,
    ( sK0(sK2) != X0
    | ~ in_environment(sK2,X0)
    | greater(sK1(X0),critical_point(X0)) ),
    inference(resolution_lifted,[status(thm)],[c_306,c_339]) ).

cnf(c_406,plain,
    ( ~ in_environment(sK2,sK0(sK2))
    | greater(sK1(sK0(sK2)),critical_point(sK0(sK2))) ),
    inference(unflattening,[status(thm)],[c_405]) ).

cnf(c_407,plain,
    greater(sK1(sK0(sK2)),critical_point(sK0(sK2))),
    inference(global_subsumption_just,[status(thm)],[c_406,c_65,c_331,c_406]) ).

cnf(c_412,plain,
    ( sK0(sK2) != X0
    | ~ in_environment(sK2,X0)
    | in_environment(X0,sK1(X0)) ),
    inference(resolution_lifted,[status(thm)],[c_291,c_339]) ).

cnf(c_413,plain,
    ( ~ in_environment(sK2,sK0(sK2))
    | in_environment(sK0(sK2),sK1(sK0(sK2))) ),
    inference(unflattening,[status(thm)],[c_412]) ).

cnf(c_414,plain,
    in_environment(sK0(sK2),sK1(sK0(sK2))),
    inference(global_subsumption_just,[status(thm)],[c_413,c_65,c_331,c_413]) ).

cnf(c_419,plain,
    ( sK0(sK2) != X0
    | greater_or_equal(critical_point(X0),start_time(X0)) ),
    inference(resolution_lifted,[status(thm)],[c_58,c_339]) ).

cnf(c_420,plain,
    greater_or_equal(critical_point(sK0(sK2)),start_time(sK0(sK2))),
    inference(unflattening,[status(thm)],[c_419]) ).

cnf(c_424,plain,
    ( sK0(sK2) != X0
    | ~ in_environment(X0,X1)
    | greater_or_equal(end_time(X0),X1) ),
    inference(resolution_lifted,[status(thm)],[c_57,c_339]) ).

cnf(c_425,plain,
    ( ~ in_environment(sK0(sK2),X0)
    | greater_or_equal(end_time(sK0(sK2)),X0) ),
    inference(unflattening,[status(thm)],[c_424]) ).

cnf(c_433,plain,
    ( sK0(sK2) != X0
    | ~ greater_or_equal(end_time(X0),X1)
    | ~ greater_or_equal(X1,start_time(X0))
    | in_environment(X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_56,c_339]) ).

cnf(c_434,plain,
    ( ~ greater_or_equal(end_time(sK0(sK2)),X0)
    | ~ greater_or_equal(X0,start_time(sK0(sK2)))
    | in_environment(sK0(sK2),X0) ),
    inference(unflattening,[status(thm)],[c_433]) ).

cnf(c_487,plain,
    ( end_time(sK0(sK2)) != sK1(sK0(sK2))
    | sK0(sK2) != sK0(sK2)
    | ~ greater(end_time(sK0(sK2)),critical_point(sK0(sK2))) ),
    inference(resolution_lifted,[status(thm)],[c_390,c_414]) ).

cnf(c_497,plain,
    ( end_time(sK0(sK2)) != X0
    | sK0(sK2) != sK0(sK2)
    | ~ greater(end_time(sK0(sK2)),critical_point(sK0(sK2)))
    | ~ greater_or_equal(end_time(sK0(sK2)),X0)
    | ~ greater_or_equal(X0,start_time(sK0(sK2))) ),
    inference(resolution_lifted,[status(thm)],[c_390,c_434]) ).

cnf(c_498,plain,
    ( ~ greater(end_time(sK0(sK2)),critical_point(sK0(sK2)))
    | ~ greater_or_equal(end_time(sK0(sK2)),end_time(sK0(sK2)))
    | ~ greater_or_equal(end_time(sK0(sK2)),start_time(sK0(sK2))) ),
    inference(unflattening,[status(thm)],[c_497]) ).

cnf(c_505,plain,
    ( ~ greater(end_time(sK0(sK2)),critical_point(sK0(sK2)))
    | ~ greater_or_equal(end_time(sK0(sK2)),start_time(sK0(sK2))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_498,c_60]) ).

cnf(c_529,plain,
    ( sK1(sK0(sK2)) != X0
    | sK0(sK2) != sK0(sK2)
    | greater_or_equal(end_time(sK0(sK2)),X0) ),
    inference(resolution_lifted,[status(thm)],[c_414,c_425]) ).

cnf(c_530,plain,
    greater_or_equal(end_time(sK0(sK2)),sK1(sK0(sK2))),
    inference(unflattening,[status(thm)],[c_529]) ).

cnf(c_554,plain,
    ( end_time(sK0(sK2)) != sK1(sK0(sK2))
    | ~ greater(end_time(sK0(sK2)),critical_point(sK0(sK2))) ),
    inference(equality_resolution_simp,[status(thm)],[c_487]) ).

cnf(c_949,plain,
    ( ~ greater(X0,sK1(sK0(sK2)))
    | greater(X0,critical_point(sK0(sK2))) ),
    inference(superposition,[status(thm)],[c_407,c_59]) ).

cnf(c_960,plain,
    ( critical_point(sK0(sK2)) = start_time(sK0(sK2))
    | greater(critical_point(sK0(sK2)),start_time(sK0(sK2))) ),
    inference(superposition,[status(thm)],[c_420,c_62]) ).

cnf(c_961,plain,
    ( end_time(sK0(sK2)) = sK1(sK0(sK2))
    | greater(end_time(sK0(sK2)),sK1(sK0(sK2))) ),
    inference(superposition,[status(thm)],[c_530,c_62]) ).

cnf(c_979,plain,
    ( ~ greater(X0,critical_point(sK0(sK2)))
    | critical_point(sK0(sK2)) = start_time(sK0(sK2))
    | greater(X0,start_time(sK0(sK2))) ),
    inference(superposition,[status(thm)],[c_960,c_59]) ).

cnf(c_1006,plain,
    ( end_time(sK0(sK2)) = sK1(sK0(sK2))
    | greater(end_time(sK0(sK2)),critical_point(sK0(sK2))) ),
    inference(superposition,[status(thm)],[c_961,c_949]) ).

cnf(c_1018,plain,
    ( end_time(sK0(sK2)) = sK1(sK0(sK2))
    | greater_or_equal(end_time(sK0(sK2)),critical_point(sK0(sK2))) ),
    inference(superposition,[status(thm)],[c_1006,c_61]) ).

cnf(c_1019,plain,
    ( ~ greater_or_equal(end_time(sK0(sK2)),start_time(sK0(sK2)))
    | end_time(sK0(sK2)) = sK1(sK0(sK2)) ),
    inference(superposition,[status(thm)],[c_1006,c_505]) ).

cnf(c_1038,plain,
    ( end_time(sK0(sK2)) = sK1(sK0(sK2))
    | critical_point(sK0(sK2)) = start_time(sK0(sK2))
    | greater(end_time(sK0(sK2)),start_time(sK0(sK2))) ),
    inference(superposition,[status(thm)],[c_1006,c_979]) ).

cnf(c_1135,plain,
    ( end_time(sK0(sK2)) = sK1(sK0(sK2))
    | critical_point(sK0(sK2)) = start_time(sK0(sK2))
    | greater_or_equal(end_time(sK0(sK2)),start_time(sK0(sK2))) ),
    inference(superposition,[status(thm)],[c_1038,c_61]) ).

cnf(c_1145,plain,
    ( critical_point(sK0(sK2)) = start_time(sK0(sK2))
    | end_time(sK0(sK2)) = sK1(sK0(sK2)) ),
    inference(global_subsumption_just,[status(thm)],[c_1135,c_1019,c_1135]) ).

cnf(c_1146,plain,
    ( end_time(sK0(sK2)) = sK1(sK0(sK2))
    | critical_point(sK0(sK2)) = start_time(sK0(sK2)) ),
    inference(renaming,[status(thm)],[c_1145]) ).

cnf(c_1154,plain,
    ( ~ greater(end_time(sK0(sK2)),critical_point(sK0(sK2)))
    | critical_point(sK0(sK2)) = start_time(sK0(sK2)) ),
    inference(superposition,[status(thm)],[c_1146,c_554]) ).

cnf(c_1160,plain,
    ( critical_point(sK0(sK2)) = start_time(sK0(sK2))
    | greater(end_time(sK0(sK2)),critical_point(sK0(sK2))) ),
    inference(superposition,[status(thm)],[c_1146,c_407]) ).

cnf(c_1171,plain,
    critical_point(sK0(sK2)) = start_time(sK0(sK2)),
    inference(backward_subsumption_resolution,[status(thm)],[c_1160,c_1154]) ).

cnf(c_1172,plain,
    ( ~ greater_or_equal(end_time(sK0(sK2)),critical_point(sK0(sK2)))
    | end_time(sK0(sK2)) = sK1(sK0(sK2)) ),
    inference(demodulation,[status(thm)],[c_1019,c_1171]) ).

cnf(c_1202,plain,
    end_time(sK0(sK2)) = sK1(sK0(sK2)),
    inference(global_subsumption_just,[status(thm)],[c_1172,c_1018,c_1172]) ).

cnf(c_1206,plain,
    ( end_time(sK0(sK2)) != end_time(sK0(sK2))
    | ~ greater(end_time(sK0(sK2)),critical_point(sK0(sK2))) ),
    inference(demodulation,[status(thm)],[c_554,c_1202]) ).

cnf(c_1211,plain,
    greater(end_time(sK0(sK2)),critical_point(sK0(sK2))),
    inference(demodulation,[status(thm)],[c_407,c_1202]) ).

cnf(c_1216,plain,
    ~ greater(end_time(sK0(sK2)),critical_point(sK0(sK2))),
    inference(equality_resolution_simp,[status(thm)],[c_1206]) ).

cnf(c_1217,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1216,c_1211]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MGT039+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n005.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  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 06:08:08 EDT 2023
% 0.20/0.34  % CPUTime  : 
% 0.20/0.45  Running first-order theorem proving
% 0.20/0.45  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.26/1.15  % SZS status Started for theBenchmark.p
% 1.26/1.15  % SZS status Theorem for theBenchmark.p
% 1.26/1.15  
% 1.26/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.26/1.15  
% 1.26/1.15  ------  iProver source info
% 1.26/1.15  
% 1.26/1.15  git: date: 2023-05-31 18:12:56 +0000
% 1.26/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.26/1.15  git: non_committed_changes: false
% 1.26/1.15  git: last_make_outside_of_git: false
% 1.26/1.15  
% 1.26/1.15  ------ Parsing...
% 1.26/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.26/1.15  
% 1.26/1.15  ------ Preprocessing... sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 7 0s  sf_e  pe_s  pe_e 
% 1.26/1.15  
% 1.26/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.26/1.15  
% 1.26/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.26/1.15  ------ Proving...
% 1.26/1.15  ------ Problem Properties 
% 1.26/1.15  
% 1.26/1.15  
% 1.26/1.15  clauses                                 15
% 1.26/1.15  conjectures                             0
% 1.26/1.15  EPR                                     4
% 1.26/1.15  Horn                                    13
% 1.26/1.15  unary                                   4
% 1.26/1.15  binary                                  6
% 1.26/1.15  lits                                    31
% 1.26/1.15  lits eq                                 7
% 1.26/1.15  fd_pure                                 0
% 1.26/1.15  fd_pseudo                               0
% 1.26/1.15  fd_cond                                 0
% 1.26/1.15  fd_pseudo_cond                          1
% 1.26/1.15  AC symbols                              0
% 1.26/1.15  
% 1.26/1.15  ------ Schedule dynamic 5 is on 
% 1.26/1.15  
% 1.26/1.15  ------ no conjectures: strip conj schedule 
% 1.26/1.15  
% 1.26/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.26/1.15  
% 1.26/1.15  
% 1.26/1.15  ------ 
% 1.26/1.15  Current options:
% 1.26/1.15  ------ 
% 1.26/1.15  
% 1.26/1.15  
% 1.26/1.15  
% 1.26/1.15  
% 1.26/1.15  ------ Proving...
% 1.26/1.15  
% 1.26/1.15  
% 1.26/1.15  % SZS status Theorem for theBenchmark.p
% 1.26/1.15  
% 1.26/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.26/1.15  
% 1.26/1.15  
%------------------------------------------------------------------------------