TSTP Solution File: MGT039+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : MGT039+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:37:11 EDT 2023

% Result   : Theorem 0.17s 0.45s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   77 (  14 unt;   0 def)
%            Number of atoms       :  248 (  30 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  280 ( 109   ~; 137   |;  22   &)
%                                         (   1 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   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; 0-2 aty)
%            Number of variables   :   82 (   0 sgn;  33   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mp3_favoured_trategy,axiom,
    ! [X1] :
      ( ( observational_period(X1)
        & propagation_strategy(first_movers)
        & propagation_strategy(efficient_producers)
        & ! [X2] :
            ( ( environment(X2)
              & in_environment(X1,X2) )
           => selection_favors(efficient_producers,first_movers,end_time(X2)) ) )
     => selection_favors(efficient_producers,first_movers,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.QYIQ5aaJYw/E---3.1_3498.p',mp3_favoured_trategy) ).

fof(prove_t8,conjecture,
    ! [X1] :
      ( ( observational_period(X1)
        & slow_change(X1) )
     => selection_favors(efficient_producers,first_movers,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.QYIQ5aaJYw/E---3.1_3498.p',prove_t8) ).

fof(mp_greater_or_equal,axiom,
    ! [X4,X5] :
      ( greater_or_equal(X4,X5)
    <=> ( greater(X4,X5)
        | X4 = X5 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.QYIQ5aaJYw/E---3.1_3498.p',mp_greater_or_equal) ).

fof(mp_time_of_critical_point,axiom,
    ! [X2] :
      ( environment(X2)
     => greater_or_equal(critical_point(X2),start_time(X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.QYIQ5aaJYw/E---3.1_3498.p',mp_time_of_critical_point) ).

fof(mp_organizational_sets1,axiom,
    propagation_strategy(first_movers),
    file('/export/starexec/sandbox2/tmp/tmp.QYIQ5aaJYw/E---3.1_3498.p',mp_organizational_sets1) ).

fof(mp_organizational_sets2,axiom,
    propagation_strategy(efficient_producers),
    file('/export/starexec/sandbox2/tmp/tmp.QYIQ5aaJYw/E---3.1_3498.p',mp_organizational_sets2) ).

fof(mp_greater_transitivity,axiom,
    ! [X4,X5,X6] :
      ( ( greater(X4,X5)
        & greater(X5,X6) )
     => greater(X4,X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.QYIQ5aaJYw/E---3.1_3498.p',mp_greater_transitivity) ).

fof(mp_environment_end_point,axiom,
    ! [X2,X3] :
      ( ( environment(X2)
        & in_environment(X2,X3) )
     => greater_or_equal(end_time(X2),X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.QYIQ5aaJYw/E---3.1_3498.p',mp_environment_end_point) ).

fof(mp4_critical_point,axiom,
    ! [X1] :
      ( ( observational_period(X1)
        & slow_change(X1) )
     => ! [X2] :
          ( ( environment(X2)
            & in_environment(X1,X2) )
         => ? [X3] :
              ( in_environment(X2,X3)
              & greater(X3,critical_point(X2)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.QYIQ5aaJYw/E---3.1_3498.p',mp4_critical_point) ).

fof(mp_time_in_environment,axiom,
    ! [X2,X3] :
      ( ( environment(X2)
        & greater_or_equal(X3,start_time(X2))
        & greater_or_equal(end_time(X2),X3) )
     => in_environment(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.QYIQ5aaJYw/E---3.1_3498.p',mp_time_in_environment) ).

fof(l8,hypothesis,
    ! [X2,X3] :
      ( ( environment(X2)
        & in_environment(X2,X3)
        & greater(X3,critical_point(X2)) )
     => selection_favors(efficient_producers,first_movers,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.QYIQ5aaJYw/E---3.1_3498.p',l8) ).

fof(c_0_11,plain,
    ! [X7] :
      ( ( environment(esk1_1(X7))
        | ~ observational_period(X7)
        | ~ propagation_strategy(first_movers)
        | ~ propagation_strategy(efficient_producers)
        | selection_favors(efficient_producers,first_movers,X7) )
      & ( in_environment(X7,esk1_1(X7))
        | ~ observational_period(X7)
        | ~ propagation_strategy(first_movers)
        | ~ propagation_strategy(efficient_producers)
        | selection_favors(efficient_producers,first_movers,X7) )
      & ( ~ selection_favors(efficient_producers,first_movers,end_time(esk1_1(X7)))
        | ~ observational_period(X7)
        | ~ propagation_strategy(first_movers)
        | ~ propagation_strategy(efficient_producers)
        | selection_favors(efficient_producers,first_movers,X7) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp3_favoured_trategy])])])]) ).

fof(c_0_12,negated_conjecture,
    ~ ! [X1] :
        ( ( observational_period(X1)
          & slow_change(X1) )
       => selection_favors(efficient_producers,first_movers,X1) ),
    inference(assume_negation,[status(cth)],[prove_t8]) ).

fof(c_0_13,plain,
    ! [X20,X21] :
      ( ( ~ greater_or_equal(X20,X21)
        | greater(X20,X21)
        | X20 = X21 )
      & ( ~ greater(X20,X21)
        | greater_or_equal(X20,X21) )
      & ( X20 != X21
        | greater_or_equal(X20,X21) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_greater_or_equal])])]) ).

fof(c_0_14,plain,
    ! [X16] :
      ( ~ environment(X16)
      | greater_or_equal(critical_point(X16),start_time(X16)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_time_of_critical_point])]) ).

cnf(c_0_15,plain,
    ( environment(esk1_1(X1))
    | selection_favors(efficient_producers,first_movers,X1)
    | ~ observational_period(X1)
    | ~ propagation_strategy(first_movers)
    | ~ propagation_strategy(efficient_producers) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    propagation_strategy(first_movers),
    inference(split_conjunct,[status(thm)],[mp_organizational_sets1]) ).

cnf(c_0_17,plain,
    propagation_strategy(efficient_producers),
    inference(split_conjunct,[status(thm)],[mp_organizational_sets2]) ).

fof(c_0_18,negated_conjecture,
    ( observational_period(esk3_0)
    & slow_change(esk3_0)
    & ~ selection_favors(efficient_producers,first_movers,esk3_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).

cnf(c_0_19,plain,
    ( greater(X1,X2)
    | X1 = X2
    | ~ greater_or_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20,plain,
    ( greater_or_equal(critical_point(X1),start_time(X1))
    | ~ environment(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,plain,
    ( selection_favors(efficient_producers,first_movers,X1)
    | environment(esk1_1(X1))
    | ~ observational_period(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).

cnf(c_0_22,negated_conjecture,
    observational_period(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_23,negated_conjecture,
    ~ selection_favors(efficient_producers,first_movers,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_24,plain,
    ! [X17,X18,X19] :
      ( ~ greater(X17,X18)
      | ~ greater(X18,X19)
      | greater(X17,X19) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_greater_transitivity])]) ).

cnf(c_0_25,plain,
    ( start_time(X1) = critical_point(X1)
    | greater(critical_point(X1),start_time(X1))
    | ~ environment(X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_26,negated_conjecture,
    environment(esk1_1(esk3_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).

fof(c_0_27,plain,
    ! [X14,X15] :
      ( ~ environment(X14)
      | ~ in_environment(X14,X15)
      | greater_or_equal(end_time(X14),X15) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_environment_end_point])]) ).

cnf(c_0_28,plain,
    ( greater(X1,X3)
    | ~ greater(X1,X2)
    | ~ greater(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_29,negated_conjecture,
    ( start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0))
    | greater(critical_point(esk1_1(esk3_0)),start_time(esk1_1(esk3_0))) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

fof(c_0_30,plain,
    ! [X9,X10] :
      ( ( in_environment(X10,esk2_2(X9,X10))
        | ~ environment(X10)
        | ~ in_environment(X9,X10)
        | ~ observational_period(X9)
        | ~ slow_change(X9) )
      & ( greater(esk2_2(X9,X10),critical_point(X10))
        | ~ environment(X10)
        | ~ in_environment(X9,X10)
        | ~ observational_period(X9)
        | ~ slow_change(X9) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp4_critical_point])])])])]) ).

cnf(c_0_31,plain,
    ( in_environment(X1,esk1_1(X1))
    | selection_favors(efficient_producers,first_movers,X1)
    | ~ observational_period(X1)
    | ~ propagation_strategy(first_movers)
    | ~ propagation_strategy(efficient_producers) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_32,plain,
    ( greater_or_equal(end_time(X1),X2)
    | ~ environment(X1)
    | ~ in_environment(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_33,negated_conjecture,
    ( start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0))
    | greater(X1,start_time(esk1_1(esk3_0)))
    | ~ greater(X1,critical_point(esk1_1(esk3_0))) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_34,plain,
    ( greater(esk2_2(X1,X2),critical_point(X2))
    | ~ environment(X2)
    | ~ in_environment(X1,X2)
    | ~ observational_period(X1)
    | ~ slow_change(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_35,plain,
    ( selection_favors(efficient_producers,first_movers,X1)
    | in_environment(X1,esk1_1(X1))
    | ~ observational_period(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_16]),c_0_17])]) ).

cnf(c_0_36,plain,
    ( end_time(X1) = X2
    | greater(end_time(X1),X2)
    | ~ in_environment(X1,X2)
    | ~ environment(X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_32]) ).

cnf(c_0_37,plain,
    ( in_environment(X1,esk2_2(X2,X1))
    | ~ environment(X1)
    | ~ in_environment(X2,X1)
    | ~ observational_period(X2)
    | ~ slow_change(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

fof(c_0_38,plain,
    ! [X12,X13] :
      ( ~ environment(X12)
      | ~ greater_or_equal(X13,start_time(X12))
      | ~ greater_or_equal(end_time(X12),X13)
      | in_environment(X12,X13) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_time_in_environment])]) ).

cnf(c_0_39,negated_conjecture,
    ( start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0))
    | greater(esk2_2(X1,esk1_1(esk3_0)),start_time(esk1_1(esk3_0)))
    | ~ slow_change(X1)
    | ~ in_environment(X1,esk1_1(esk3_0))
    | ~ observational_period(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_26])]) ).

cnf(c_0_40,negated_conjecture,
    in_environment(esk3_0,esk1_1(esk3_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_22]),c_0_23]) ).

cnf(c_0_41,negated_conjecture,
    slow_change(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_42,plain,
    ( esk2_2(X1,X2) = end_time(X2)
    | greater(end_time(X2),esk2_2(X1,X2))
    | ~ slow_change(X1)
    | ~ in_environment(X1,X2)
    | ~ environment(X2)
    | ~ observational_period(X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_43,plain,
    ( in_environment(X1,X2)
    | ~ environment(X1)
    | ~ greater_or_equal(X2,start_time(X1))
    | ~ greater_or_equal(end_time(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_44,plain,
    ( greater_or_equal(X1,X2)
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_45,plain,
    ( greater_or_equal(X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_46,negated_conjecture,
    ( start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0))
    | greater(esk2_2(esk3_0,esk1_1(esk3_0)),start_time(esk1_1(esk3_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_22])]) ).

fof(c_0_47,hypothesis,
    ! [X24,X25] :
      ( ~ environment(X24)
      | ~ in_environment(X24,X25)
      | ~ greater(X25,critical_point(X24))
      | selection_favors(efficient_producers,first_movers,X25) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l8])]) ).

cnf(c_0_48,plain,
    ( greater(X1,critical_point(X2))
    | ~ greater(X1,esk2_2(X3,X2))
    | ~ slow_change(X3)
    | ~ in_environment(X3,X2)
    | ~ environment(X2)
    | ~ observational_period(X3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_34]) ).

cnf(c_0_49,negated_conjecture,
    ( esk2_2(esk3_0,esk1_1(esk3_0)) = end_time(esk1_1(esk3_0))
    | greater(end_time(esk1_1(esk3_0)),esk2_2(esk3_0,esk1_1(esk3_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_40]),c_0_41]),c_0_26]),c_0_22])]) ).

cnf(c_0_50,plain,
    ( in_environment(X1,X2)
    | ~ greater_or_equal(end_time(X1),X2)
    | ~ greater(X2,start_time(X1))
    | ~ environment(X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_51,plain,
    greater_or_equal(X1,X1),
    inference(er,[status(thm)],[c_0_45]) ).

cnf(c_0_52,negated_conjecture,
    ( start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0))
    | greater(X1,start_time(esk1_1(esk3_0)))
    | ~ greater(X1,esk2_2(esk3_0,esk1_1(esk3_0))) ),
    inference(spm,[status(thm)],[c_0_28,c_0_46]) ).

cnf(c_0_53,hypothesis,
    ( selection_favors(efficient_producers,first_movers,X2)
    | ~ environment(X1)
    | ~ in_environment(X1,X2)
    | ~ greater(X2,critical_point(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_54,negated_conjecture,
    ( esk2_2(esk3_0,esk1_1(esk3_0)) = end_time(esk1_1(esk3_0))
    | greater(end_time(esk1_1(esk3_0)),critical_point(esk1_1(esk3_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_41]),c_0_40]),c_0_26]),c_0_22])]) ).

cnf(c_0_55,plain,
    ( in_environment(X1,end_time(X1))
    | ~ greater(end_time(X1),start_time(X1))
    | ~ environment(X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_56,negated_conjecture,
    ( esk2_2(esk3_0,esk1_1(esk3_0)) = end_time(esk1_1(esk3_0))
    | start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0))
    | greater(end_time(esk1_1(esk3_0)),start_time(esk1_1(esk3_0))) ),
    inference(spm,[status(thm)],[c_0_52,c_0_49]) ).

cnf(c_0_57,plain,
    ( selection_favors(efficient_producers,first_movers,X1)
    | ~ selection_favors(efficient_producers,first_movers,end_time(esk1_1(X1)))
    | ~ observational_period(X1)
    | ~ propagation_strategy(first_movers)
    | ~ propagation_strategy(efficient_producers) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_58,hypothesis,
    ( esk2_2(esk3_0,esk1_1(esk3_0)) = end_time(esk1_1(esk3_0))
    | selection_favors(efficient_producers,first_movers,end_time(esk1_1(esk3_0)))
    | ~ in_environment(esk1_1(esk3_0),end_time(esk1_1(esk3_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_26])]) ).

cnf(c_0_59,negated_conjecture,
    ( esk2_2(esk3_0,esk1_1(esk3_0)) = end_time(esk1_1(esk3_0))
    | start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0))
    | in_environment(esk1_1(esk3_0),end_time(esk1_1(esk3_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_26])]) ).

cnf(c_0_60,plain,
    ( selection_favors(efficient_producers,first_movers,X1)
    | ~ selection_favors(efficient_producers,first_movers,end_time(esk1_1(X1)))
    | ~ observational_period(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_16]),c_0_17])]) ).

cnf(c_0_61,hypothesis,
    ( esk2_2(esk3_0,esk1_1(esk3_0)) = end_time(esk1_1(esk3_0))
    | start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0))
    | selection_favors(efficient_producers,first_movers,end_time(esk1_1(esk3_0))) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_62,hypothesis,
    ( selection_favors(efficient_producers,first_movers,esk2_2(X1,X2))
    | ~ slow_change(X1)
    | ~ in_environment(X1,X2)
    | ~ environment(X2)
    | ~ observational_period(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_34]),c_0_37]) ).

cnf(c_0_63,hypothesis,
    ( esk2_2(esk3_0,esk1_1(esk3_0)) = end_time(esk1_1(esk3_0))
    | start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_22])]),c_0_23]) ).

cnf(c_0_64,plain,
    ( in_environment(X1,end_time(X2))
    | ~ greater_or_equal(end_time(X1),end_time(X2))
    | ~ in_environment(X2,start_time(X1))
    | ~ environment(X1)
    | ~ environment(X2) ),
    inference(spm,[status(thm)],[c_0_43,c_0_32]) ).

cnf(c_0_65,hypothesis,
    ( start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0))
    | selection_favors(efficient_producers,first_movers,end_time(esk1_1(esk3_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_41]),c_0_40]),c_0_26]),c_0_22])]) ).

cnf(c_0_66,plain,
    ( in_environment(X1,critical_point(X1))
    | ~ greater_or_equal(end_time(X1),critical_point(X1))
    | ~ environment(X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_20]) ).

cnf(c_0_67,plain,
    ( in_environment(X1,end_time(X1))
    | ~ in_environment(X1,start_time(X1))
    | ~ environment(X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_51]) ).

cnf(c_0_68,hypothesis,
    start_time(esk1_1(esk3_0)) = critical_point(esk1_1(esk3_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_65]),c_0_22])]),c_0_23]) ).

cnf(c_0_69,plain,
    ( in_environment(X1,critical_point(X1))
    | ~ greater(end_time(X1),critical_point(X1))
    | ~ environment(X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_44]) ).

cnf(c_0_70,hypothesis,
    ( in_environment(esk1_1(esk3_0),end_time(esk1_1(esk3_0)))
    | ~ in_environment(esk1_1(esk3_0),critical_point(esk1_1(esk3_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_26])]) ).

cnf(c_0_71,negated_conjecture,
    ( esk2_2(esk3_0,esk1_1(esk3_0)) = end_time(esk1_1(esk3_0))
    | in_environment(esk1_1(esk3_0),critical_point(esk1_1(esk3_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_54]),c_0_26])]) ).

cnf(c_0_72,negated_conjecture,
    ( esk2_2(esk3_0,esk1_1(esk3_0)) = end_time(esk1_1(esk3_0))
    | in_environment(esk1_1(esk3_0),end_time(esk1_1(esk3_0))) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_73,hypothesis,
    ( esk2_2(esk3_0,esk1_1(esk3_0)) = end_time(esk1_1(esk3_0))
    | selection_favors(efficient_producers,first_movers,end_time(esk1_1(esk3_0))) ),
    inference(spm,[status(thm)],[c_0_58,c_0_72]) ).

cnf(c_0_74,hypothesis,
    esk2_2(esk3_0,esk1_1(esk3_0)) = end_time(esk1_1(esk3_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_73]),c_0_22])]),c_0_23]) ).

cnf(c_0_75,hypothesis,
    selection_favors(efficient_producers,first_movers,end_time(esk1_1(esk3_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_74]),c_0_41]),c_0_40]),c_0_26]),c_0_22])]) ).

cnf(c_0_76,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_75]),c_0_22])]),c_0_23]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem    : MGT039+1 : TPTP v8.1.2. Released v2.0.0.
% 0.02/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Oct  3 00:42:07 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.43  Running first-order model finding
% 0.17/0.43  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.QYIQ5aaJYw/E---3.1_3498.p
% 0.17/0.45  # Version: 3.1pre001
% 0.17/0.45  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45  # Starting sh5l with 300s (1) cores
% 0.17/0.45  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3575 completed with status 0
% 0.17/0.45  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.45  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.45  # No SInE strategy applied
% 0.17/0.45  # Search class: FGUSF-FFSS21-SFFFFFNN
% 0.17/0.45  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.45  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.17/0.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.17/0.45  # Starting new_bool_3 with 136s (1) cores
% 0.17/0.45  # Starting new_bool_1 with 136s (1) cores
% 0.17/0.45  # Starting sh5l with 136s (1) cores
% 0.17/0.45  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3582 completed with status 0
% 0.17/0.45  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.45  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.45  # No SInE strategy applied
% 0.17/0.45  # Search class: FGUSF-FFSS21-SFFFFFNN
% 0.17/0.45  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.45  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.17/0.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.17/0.45  # Preprocessing time       : 0.001 s
% 0.17/0.45  # Presaturation interreduction done
% 0.17/0.45  
% 0.17/0.45  # Proof found!
% 0.17/0.45  # SZS status Theorem
% 0.17/0.45  # SZS output start CNFRefutation
% See solution above
% 0.17/0.45  # Parsed axioms                        : 12
% 0.17/0.45  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.45  # Initial clauses                      : 19
% 0.17/0.45  # Removed in clause preprocessing      : 0
% 0.17/0.45  # Initial clauses in saturation        : 19
% 0.17/0.45  # Processed clauses                    : 92
% 0.17/0.45  # ...of these trivial                  : 0
% 0.17/0.45  # ...subsumed                          : 2
% 0.17/0.45  # ...remaining for further processing  : 90
% 0.17/0.45  # Other redundant clauses eliminated   : 1
% 0.17/0.45  # Clauses deleted for lack of memory   : 0
% 0.17/0.45  # Backward-subsumed                    : 5
% 0.17/0.45  # Backward-rewritten                   : 20
% 0.17/0.45  # Generated clauses                    : 100
% 0.17/0.45  # ...of the previous two non-redundant : 90
% 0.17/0.45  # ...aggressively subsumed             : 0
% 0.17/0.45  # Contextual simplify-reflections      : 1
% 0.17/0.45  # Paramodulations                      : 99
% 0.17/0.45  # Factorizations                       : 0
% 0.17/0.45  # NegExts                              : 0
% 0.17/0.45  # Equation resolutions                 : 1
% 0.17/0.45  # Total rewrite steps                  : 111
% 0.17/0.45  # Propositional unsat checks           : 0
% 0.17/0.45  #    Propositional check models        : 0
% 0.17/0.45  #    Propositional check unsatisfiable : 0
% 0.17/0.45  #    Propositional clauses             : 0
% 0.17/0.45  #    Propositional clauses after purity: 0
% 0.17/0.45  #    Propositional unsat core size     : 0
% 0.17/0.45  #    Propositional preprocessing time  : 0.000
% 0.17/0.45  #    Propositional encoding time       : 0.000
% 0.17/0.45  #    Propositional solver time         : 0.000
% 0.17/0.45  #    Success case prop preproc time    : 0.000
% 0.17/0.45  #    Success case prop encoding time   : 0.000
% 0.17/0.45  #    Success case prop solver time     : 0.000
% 0.17/0.45  # Current number of processed clauses  : 45
% 0.17/0.45  #    Positive orientable unit clauses  : 10
% 0.17/0.45  #    Positive unorientable unit clauses: 0
% 0.17/0.45  #    Negative unit clauses             : 1
% 0.17/0.45  #    Non-unit-clauses                  : 34
% 0.17/0.45  # Current number of unprocessed clauses: 33
% 0.17/0.45  # ...number of literals in the above   : 112
% 0.17/0.45  # Current number of archived formulas  : 0
% 0.17/0.45  # Current number of archived clauses   : 44
% 0.17/0.45  # Clause-clause subsumption calls (NU) : 382
% 0.17/0.45  # Rec. Clause-clause subsumption calls : 165
% 0.17/0.45  # Non-unit clause-clause subsumptions  : 8
% 0.17/0.45  # Unit Clause-clause subsumption calls : 16
% 0.17/0.45  # Rewrite failures with RHS unbound    : 0
% 0.17/0.45  # BW rewrite match attempts            : 6
% 0.17/0.45  # BW rewrite match successes           : 2
% 0.17/0.45  # Condensation attempts                : 0
% 0.17/0.45  # Condensation successes               : 0
% 0.17/0.45  # Termbank termtop insertions          : 3743
% 0.17/0.45  
% 0.17/0.45  # -------------------------------------------------
% 0.17/0.45  # User time                : 0.011 s
% 0.17/0.45  # System time              : 0.001 s
% 0.17/0.45  # Total time               : 0.011 s
% 0.17/0.45  # Maximum resident set size: 1728 pages
% 0.17/0.45  
% 0.17/0.45  # -------------------------------------------------
% 0.17/0.45  # User time                : 0.041 s
% 0.17/0.45  # System time              : 0.004 s
% 0.17/0.45  # Total time               : 0.045 s
% 0.17/0.45  # Maximum resident set size: 1680 pages
% 0.17/0.45  % E---3.1 exiting
%------------------------------------------------------------------------------