TSTP Solution File: MGT039+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : MGT039+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n022.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 : Tue Apr 30 13:55:00 EDT 2024

% Result   : Theorem 0.13s 0.38s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   98 (  21 unt;   0 def)
%            Number of atoms       :  294 (  30 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  307 ( 111   ~; 121   |;  54   &)
%                                         (   2 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-1 aty)
%            Number of variables   :  109 (  97   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f185,plain,
    $false,
    inference(subsumption_resolution,[],[f179,f74]) ).

fof(f74,plain,
    ~ selection_favors(efficient_producers,first_movers,end_time(sK2(sK1))),
    inference(unit_resulting_resolution,[],[f72,f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ~ selection_favors(efficient_producers,first_movers,end_time(sK2(X0)))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0] :
      ( ( ~ selection_favors(efficient_producers,first_movers,end_time(sK2(X0)))
        & in_environment(X0,sK2(X0))
        & environment(sK2(X0)) )
      | ~ sP0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f42,f43]) ).

fof(f43,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(sK2(X0)))
        & in_environment(X0,sK2(X0))
        & environment(sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ selection_favors(efficient_producers,first_movers,end_time(X1))
          & in_environment(X0,X1)
          & environment(X1) )
      | ~ sP0(X0) ),
    inference(nnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ selection_favors(efficient_producers,first_movers,end_time(X1))
          & in_environment(X0,X1)
          & environment(X1) )
      | ~ sP0(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f72,plain,
    sP0(sK1),
    inference(unit_resulting_resolution,[],[f49,f51,f71]) ).

fof(f71,plain,
    ! [X0] :
      ( ~ observational_period(X0)
      | sP0(X0)
      | selection_favors(efficient_producers,first_movers,X0) ),
    inference(subsumption_resolution,[],[f70,f53]) ).

fof(f53,plain,
    propagation_strategy(first_movers),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f70,plain,
    ! [X0] :
      ( selection_favors(efficient_producers,first_movers,X0)
      | sP0(X0)
      | ~ propagation_strategy(first_movers)
      | ~ observational_period(X0) ),
    inference(subsumption_resolution,[],[f59,f54]) ).

fof(f54,plain,
    propagation_strategy(efficient_producers),
    inference(cnf_transformation,[],[f4]) ).

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

fof(f59,plain,
    ! [X0] :
      ( selection_favors(efficient_producers,first_movers,X0)
      | sP0(X0)
      | ~ propagation_strategy(efficient_producers)
      | ~ propagation_strategy(first_movers)
      | ~ observational_period(X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( selection_favors(efficient_producers,first_movers,X0)
      | sP0(X0)
      | ~ propagation_strategy(efficient_producers)
      | ~ propagation_strategy(first_movers)
      | ~ observational_period(X0) ),
    inference(definition_folding,[],[f27,f38]) ).

fof(f27,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,[],[f26]) ).

fof(f26,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(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(f51,plain,
    ~ selection_favors(efficient_producers,first_movers,sK1),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ( ~ selection_favors(efficient_producers,first_movers,sK1)
    & slow_change(sK1)
    & observational_period(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f22,f40]) ).

fof(f40,plain,
    ( ? [X0] :
        ( ~ selection_favors(efficient_producers,first_movers,X0)
        & slow_change(X0)
        & observational_period(X0) )
   => ( ~ selection_favors(efficient_producers,first_movers,sK1)
      & slow_change(sK1)
      & observational_period(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f22,plain,
    ? [X0] :
      ( ~ selection_favors(efficient_producers,first_movers,X0)
      & slow_change(X0)
      & observational_period(X0) ),
    inference(flattening,[],[f21]) ).

fof(f21,plain,
    ? [X0] :
      ( ~ selection_favors(efficient_producers,first_movers,X0)
      & slow_change(X0)
      & observational_period(X0) ),
    inference(ennf_transformation,[],[f13]) ).

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

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(f49,plain,
    observational_period(sK1),
    inference(cnf_transformation,[],[f41]) ).

fof(f179,plain,
    selection_favors(efficient_producers,first_movers,end_time(sK2(sK1))),
    inference(superposition,[],[f99,f174]) ).

fof(f174,plain,
    end_time(sK2(sK1)) = sK3(sK2(sK1)),
    inference(subsumption_resolution,[],[f173,f110]) ).

fof(f110,plain,
    ( ~ in_environment(sK2(sK1),end_time(sK2(sK1)))
    | end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
    inference(subsumption_resolution,[],[f109,f76]) ).

fof(f76,plain,
    environment(sK2(sK1)),
    inference(unit_resulting_resolution,[],[f72,f56]) ).

fof(f56,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | environment(sK2(X0)) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f109,plain,
    ( end_time(sK2(sK1)) = sK3(sK2(sK1))
    | ~ in_environment(sK2(sK1),end_time(sK2(sK1)))
    | ~ environment(sK2(sK1)) ),
    inference(subsumption_resolution,[],[f106,f74]) ).

fof(f106,plain,
    ( end_time(sK2(sK1)) = sK3(sK2(sK1))
    | selection_favors(efficient_producers,first_movers,end_time(sK2(sK1)))
    | ~ in_environment(sK2(sK1),end_time(sK2(sK1)))
    | ~ environment(sK2(sK1)) ),
    inference(resolution,[],[f105,f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ greater(X1,critical_point(X0))
      | selection_favors(efficient_producers,first_movers,X1)
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( selection_favors(efficient_producers,first_movers,X1)
      | ~ greater(X1,critical_point(X0))
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(flattening,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( selection_favors(efficient_producers,first_movers,X1)
      | ~ greater(X1,critical_point(X0))
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,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(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(f105,plain,
    ( greater(end_time(sK2(sK1)),critical_point(sK2(sK1)))
    | end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
    inference(resolution,[],[f102,f91]) ).

fof(f91,plain,
    ( greater(end_time(sK2(sK1)),sK3(sK2(sK1)))
    | end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
    inference(resolution,[],[f88,f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ~ greater_or_equal(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,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,[],[f47]) ).

fof(f47,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,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( greater_or_equal(X0,X1)
    <=> ( X0 = X1
        | greater(X0,X1) ) ),
    inference(rectify,[],[f9]) ).

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(f88,plain,
    greater_or_equal(end_time(sK2(sK1)),sK3(sK2(sK1))),
    inference(unit_resulting_resolution,[],[f76,f86,f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ in_environment(X0,X1)
      | greater_or_equal(end_time(X0),X1)
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( greater_or_equal(end_time(X0),X1)
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(flattening,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( greater_or_equal(end_time(X0),X1)
      | ~ in_environment(X0,X1)
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ( in_environment(X0,X1)
        & environment(X0) )
     => greater_or_equal(end_time(X0),X1) ),
    inference(rectify,[],[f6]) ).

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(f86,plain,
    in_environment(sK2(sK1),sK3(sK2(sK1))),
    inference(unit_resulting_resolution,[],[f49,f50,f76,f75,f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ in_environment(X0,X1)
      | in_environment(X1,sK3(X1))
      | ~ environment(X1)
      | ~ slow_change(X0)
      | ~ observational_period(X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( greater(sK3(X1),critical_point(X1))
            & in_environment(X1,sK3(X1)) )
          | ~ in_environment(X0,X1)
          | ~ environment(X1) )
      | ~ slow_change(X0)
      | ~ observational_period(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f29,f45]) ).

fof(f45,plain,
    ! [X1] :
      ( ? [X2] :
          ( greater(X2,critical_point(X1))
          & in_environment(X1,X2) )
     => ( greater(sK3(X1),critical_point(X1))
        & in_environment(X1,sK3(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f29,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,[],[f28]) ).

fof(f28,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(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(f75,plain,
    in_environment(sK1,sK2(sK1)),
    inference(unit_resulting_resolution,[],[f72,f57]) ).

fof(f57,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | in_environment(X0,sK2(X0)) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f50,plain,
    slow_change(sK1),
    inference(cnf_transformation,[],[f41]) ).

fof(f102,plain,
    ! [X0] :
      ( ~ greater(X0,sK3(sK2(sK1)))
      | greater(X0,critical_point(sK2(sK1))) ),
    inference(resolution,[],[f96,f68]) ).

fof(f68,plain,
    ! [X2,X0,X1] :
      ( ~ greater(X1,X2)
      | greater(X0,X2)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( greater(X0,X2)
      | ~ greater(X1,X2)
      | ~ greater(X0,X1) ),
    inference(flattening,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( greater(X0,X2)
      | ~ greater(X1,X2)
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( ( greater(X1,X2)
        & greater(X0,X1) )
     => greater(X0,X2) ),
    inference(rectify,[],[f8]) ).

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(f96,plain,
    greater(sK3(sK2(sK1)),critical_point(sK2(sK1))),
    inference(unit_resulting_resolution,[],[f49,f50,f76,f75,f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ in_environment(X0,X1)
      | greater(sK3(X1),critical_point(X1))
      | ~ environment(X1)
      | ~ slow_change(X0)
      | ~ observational_period(X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f173,plain,
    ( in_environment(sK2(sK1),end_time(sK2(sK1)))
    | end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
    inference(resolution,[],[f167,f108]) ).

fof(f108,plain,
    ( greater_or_equal(end_time(sK2(sK1)),critical_point(sK2(sK1)))
    | end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
    inference(resolution,[],[f105,f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | greater_or_equal(X0,X1) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f167,plain,
    ( ~ greater_or_equal(end_time(sK2(sK1)),critical_point(sK2(sK1)))
    | in_environment(sK2(sK1),end_time(sK2(sK1))) ),
    inference(subsumption_resolution,[],[f165,f76]) ).

fof(f165,plain,
    ( ~ greater_or_equal(end_time(sK2(sK1)),critical_point(sK2(sK1)))
    | in_environment(sK2(sK1),end_time(sK2(sK1)))
    | ~ environment(sK2(sK1)) ),
    inference(superposition,[],[f95,f157]) ).

fof(f157,plain,
    critical_point(sK2(sK1)) = start_time(sK2(sK1)),
    inference(subsumption_resolution,[],[f148,f74]) ).

fof(f148,plain,
    ( selection_favors(efficient_producers,first_movers,end_time(sK2(sK1)))
    | critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
    inference(superposition,[],[f99,f143]) ).

fof(f143,plain,
    ( end_time(sK2(sK1)) = sK3(sK2(sK1))
    | critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
    inference(subsumption_resolution,[],[f142,f110]) ).

fof(f142,plain,
    ( end_time(sK2(sK1)) = sK3(sK2(sK1))
    | critical_point(sK2(sK1)) = start_time(sK2(sK1))
    | in_environment(sK2(sK1),end_time(sK2(sK1))) ),
    inference(subsumption_resolution,[],[f139,f76]) ).

fof(f139,plain,
    ( end_time(sK2(sK1)) = sK3(sK2(sK1))
    | critical_point(sK2(sK1)) = start_time(sK2(sK1))
    | in_environment(sK2(sK1),end_time(sK2(sK1)))
    | ~ environment(sK2(sK1)) ),
    inference(resolution,[],[f138,f95]) ).

fof(f138,plain,
    ( greater_or_equal(end_time(sK2(sK1)),start_time(sK2(sK1)))
    | end_time(sK2(sK1)) = sK3(sK2(sK1))
    | critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
    inference(resolution,[],[f120,f66]) ).

fof(f120,plain,
    ( greater(end_time(sK2(sK1)),start_time(sK2(sK1)))
    | critical_point(sK2(sK1)) = start_time(sK2(sK1))
    | end_time(sK2(sK1)) = sK3(sK2(sK1)) ),
    inference(resolution,[],[f84,f105]) ).

fof(f84,plain,
    ! [X0] :
      ( ~ greater(X0,critical_point(sK2(sK1)))
      | greater(X0,start_time(sK2(sK1)))
      | critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
    inference(resolution,[],[f83,f68]) ).

fof(f83,plain,
    ( greater(critical_point(sK2(sK1)),start_time(sK2(sK1)))
    | critical_point(sK2(sK1)) = start_time(sK2(sK1)) ),
    inference(resolution,[],[f65,f79]) ).

fof(f79,plain,
    greater_or_equal(critical_point(sK2(sK1)),start_time(sK2(sK1))),
    inference(unit_resulting_resolution,[],[f76,f55]) ).

fof(f55,plain,
    ! [X0] :
      ( ~ environment(X0)
      | greater_or_equal(critical_point(X0),start_time(X0)) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0] :
      ( greater_or_equal(critical_point(X0),start_time(X0))
      | ~ environment(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0] :
      ( environment(X0)
     => greater_or_equal(critical_point(X0),start_time(X0)) ),
    inference(rectify,[],[f7]) ).

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(f95,plain,
    ! [X0] :
      ( ~ greater_or_equal(end_time(X0),start_time(X0))
      | in_environment(X0,end_time(X0))
      | ~ environment(X0) ),
    inference(resolution,[],[f63,f69]) ).

fof(f69,plain,
    ! [X1] : greater_or_equal(X1,X1),
    inference(equality_resolution,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( greater_or_equal(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ greater_or_equal(end_time(X0),X1)
      | in_environment(X0,X1)
      | ~ greater_or_equal(X1,start_time(X0))
      | ~ environment(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,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,[],[f32]) ).

fof(f32,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,[],[f17]) ).

fof(f17,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(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(f99,plain,
    selection_favors(efficient_producers,first_movers,sK3(sK2(sK1))),
    inference(unit_resulting_resolution,[],[f76,f86,f96,f52]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : MGT039+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Apr 30 03:33:58 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.36  % (9145)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (9150)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37  % (9148)WARNING: value z3 for option sas not known
% 0.13/0.37  % (9146)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37  % (9147)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  % (9149)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37  % (9151)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37  % (9148)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37  % (9152)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.38  TRYING [1]
% 0.13/0.38  TRYING [2]
% 0.13/0.38  TRYING [3]
% 0.13/0.38  TRYING [1]
% 0.13/0.38  % (9152)First to succeed.
% 0.13/0.38  TRYING [2]
% 0.13/0.38  % (9152)Refutation found. Thanks to Tanya!
% 0.13/0.38  % SZS status Theorem for theBenchmark
% 0.13/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38  % (9152)------------------------------
% 0.13/0.38  % (9152)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38  % (9152)Termination reason: Refutation
% 0.13/0.38  
% 0.13/0.38  % (9152)Memory used [KB]: 841
% 0.13/0.38  % (9152)Time elapsed: 0.008 s
% 0.13/0.38  % (9152)Instructions burned: 10 (million)
% 0.13/0.38  % (9152)------------------------------
% 0.13/0.38  % (9152)------------------------------
% 0.13/0.38  % (9145)Success in time 0.021 s
%------------------------------------------------------------------------------