TSTP Solution File: MGT039+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : MGT039+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n009.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 Aug 22 10:49:40 EDT 2023

% Result   : Theorem 11.04s 3.72s
% Output   : CNFRefutation 11.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   82 (   9 unt;  16 typ;   0 def)
%            Number of atoms       :  267 (  28 equ)
%            Maximal formula atoms :    8 (   4 avg)
%            Number of connectives :  338 ( 137   ~; 176   |;  14   &)
%                                         (   1 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  13   >;   6   *;   0   +;   0  <<)
%            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   :   85 (;  84   !;   1   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ selection_favors > in_environment > greater_or_equal > greater > slow_change > propagation_strategy > observational_period > environment > #nlpp > start_time > end_time > critical_point > first_movers > efficient_producers > #skF_1 > #skF_3 > #skF_2

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(greater,type,
    greater: ( $i * $i ) > $o ).

tff(in_environment,type,
    in_environment: ( $i * $i ) > $o ).

tff(observational_period,type,
    observational_period: $i > $o ).

tff('#skF_1',type,
    '#skF_1': $i > $i ).

tff(efficient_producers,type,
    efficient_producers: $i ).

tff(critical_point,type,
    critical_point: $i > $i ).

tff(slow_change,type,
    slow_change: $i > $o ).

tff('#skF_3',type,
    '#skF_3': $i ).

tff(environment,type,
    environment: $i > $o ).

tff(start_time,type,
    start_time: $i > $i ).

tff(end_time,type,
    end_time: $i > $i ).

tff(first_movers,type,
    first_movers: $i ).

tff('#skF_2',type,
    '#skF_2': ( $i * $i ) > $i ).

tff(greater_or_equal,type,
    greater_or_equal: ( $i * $i ) > $o ).

tff(selection_favors,type,
    selection_favors: ( $i * $i * $i ) > $o ).

tff(propagation_strategy,type,
    propagation_strategy: $i > $o ).

tff(f_137,negated_conjecture,
    ~ ! [P] :
        ( ( observational_period(P)
          & slow_change(P) )
       => selection_favors(efficient_producers,first_movers,P) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8) ).

tff(f_69,axiom,
    propagation_strategy(first_movers),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets1) ).

tff(f_70,axiom,
    propagation_strategy(efficient_producers),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets2) ).

tff(f_49,axiom,
    ! [P] :
      ( ( observational_period(P)
        & propagation_strategy(first_movers)
        & propagation_strategy(efficient_producers)
        & ! [E] :
            ( ( environment(E)
              & in_environment(P,E) )
           => selection_favors(efficient_producers,first_movers,end_time(E)) ) )
     => selection_favors(efficient_producers,first_movers,P) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy) ).

tff(f_66,axiom,
    ! [P] :
      ( ( observational_period(P)
        & slow_change(P) )
     => ! [E] :
          ( ( environment(E)
            & in_environment(P,E) )
         => ? [T] :
              ( in_environment(E,T)
              & greater(T,critical_point(E)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_critical_point) ).

tff(f_128,hypothesis,
    ! [E,T] :
      ( ( environment(E)
        & in_environment(E,T)
        & greater(T,critical_point(E)) )
     => selection_favors(efficient_producers,first_movers,T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l8) ).

tff(f_88,axiom,
    ! [E,T] :
      ( ( environment(E)
        & in_environment(E,T) )
     => greater_or_equal(end_time(E),T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_end_point) ).

tff(f_108,axiom,
    ! [X,Y] :
      ( greater_or_equal(X,Y)
    <=> ( greater(X,Y)
        | ( X = Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal) ).

tff(f_101,axiom,
    ! [X,Y,Z] :
      ( ( greater(X,Y)
        & greater(Y,Z) )
     => greater(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity) ).

tff(f_94,axiom,
    ! [E] :
      ( environment(E)
     => greater_or_equal(critical_point(E),start_time(E)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_of_critical_point) ).

tff(f_80,axiom,
    ! [E,T] :
      ( ( environment(E)
        & greater_or_equal(T,start_time(E))
        & greater_or_equal(end_time(E),T) )
     => in_environment(E,T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_in_environment) ).

tff(c_38,plain,
    observational_period('#skF_3'),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_36,plain,
    slow_change('#skF_3'),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_12,plain,
    propagation_strategy(first_movers),
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_14,plain,
    propagation_strategy(efficient_producers),
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_6,plain,
    ! [P_1] :
      ( environment('#skF_1'(P_1))
      | selection_favors(efficient_producers,first_movers,P_1)
      | ~ propagation_strategy(efficient_producers)
      | ~ propagation_strategy(first_movers)
      | ~ observational_period(P_1) ),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_40,plain,
    ! [P_1] :
      ( environment('#skF_1'(P_1))
      | selection_favors(efficient_producers,first_movers,P_1)
      | ~ observational_period(P_1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_14,c_6]) ).

tff(c_4,plain,
    ! [P_1] :
      ( in_environment(P_1,'#skF_1'(P_1))
      | selection_favors(efficient_producers,first_movers,P_1)
      | ~ propagation_strategy(efficient_producers)
      | ~ propagation_strategy(first_movers)
      | ~ observational_period(P_1) ),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_42,plain,
    ! [P_1] :
      ( in_environment(P_1,'#skF_1'(P_1))
      | selection_favors(efficient_producers,first_movers,P_1)
      | ~ observational_period(P_1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_14,c_4]) ).

tff(c_10,plain,
    ! [E_7,P_3] :
      ( in_environment(E_7,'#skF_2'(P_3,E_7))
      | ~ in_environment(P_3,E_7)
      | ~ environment(E_7)
      | ~ slow_change(P_3)
      | ~ observational_period(P_3) ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_187,plain,
    ! [P_59,E_60] :
      ( greater('#skF_2'(P_59,E_60),critical_point(E_60))
      | ~ in_environment(P_59,E_60)
      | ~ environment(E_60)
      | ~ slow_change(P_59)
      | ~ observational_period(P_59) ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_32,plain,
    ! [T_22,E_21] :
      ( selection_favors(efficient_producers,first_movers,T_22)
      | ~ greater(T_22,critical_point(E_21))
      | ~ in_environment(E_21,T_22)
      | ~ environment(E_21) ),
    inference(cnfTransformation,[status(thm)],[f_128]) ).

tff(c_341,plain,
    ! [P_87,E_88] :
      ( selection_favors(efficient_producers,first_movers,'#skF_2'(P_87,E_88))
      | ~ in_environment(E_88,'#skF_2'(P_87,E_88))
      | ~ in_environment(P_87,E_88)
      | ~ environment(E_88)
      | ~ slow_change(P_87)
      | ~ observational_period(P_87) ),
    inference(resolution,[status(thm)],[c_187,c_32]) ).

tff(c_344,plain,
    ! [P_3,E_7] :
      ( selection_favors(efficient_producers,first_movers,'#skF_2'(P_3,E_7))
      | ~ in_environment(P_3,E_7)
      | ~ environment(E_7)
      | ~ slow_change(P_3)
      | ~ observational_period(P_3) ),
    inference(resolution,[status(thm)],[c_10,c_341]) ).

tff(c_62,plain,
    ! [E_29,T_30] :
      ( greater_or_equal(end_time(E_29),T_30)
      | ~ in_environment(E_29,T_30)
      | ~ environment(E_29) ),
    inference(cnfTransformation,[status(thm)],[f_88]) ).

tff(c_24,plain,
    ! [Y_18,X_17] :
      ( ( Y_18 = X_17 )
      | greater(X_17,Y_18)
      | ~ greater_or_equal(X_17,Y_18) ),
    inference(cnfTransformation,[status(thm)],[f_108]) ).

tff(c_66,plain,
    ! [E_29,T_30] :
      ( ( end_time(E_29) = T_30 )
      | greater(end_time(E_29),T_30)
      | ~ in_environment(E_29,T_30)
      | ~ environment(E_29) ),
    inference(resolution,[status(thm)],[c_62,c_24]) ).

tff(c_22,plain,
    ! [X_14,Z_16,Y_15] :
      ( greater(X_14,Z_16)
      | ~ greater(Y_15,Z_16)
      | ~ greater(X_14,Y_15) ),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_254,plain,
    ! [X_71,E_72,P_73] :
      ( greater(X_71,critical_point(E_72))
      | ~ greater(X_71,'#skF_2'(P_73,E_72))
      | ~ in_environment(P_73,E_72)
      | ~ environment(E_72)
      | ~ slow_change(P_73)
      | ~ observational_period(P_73) ),
    inference(resolution,[status(thm)],[c_187,c_22]) ).

tff(c_867,plain,
    ! [E_140,E_141,P_142] :
      ( greater(end_time(E_140),critical_point(E_141))
      | ~ in_environment(P_142,E_141)
      | ~ environment(E_141)
      | ~ slow_change(P_142)
      | ~ observational_period(P_142)
      | ( end_time(E_140) = '#skF_2'(P_142,E_141) )
      | ~ in_environment(E_140,'#skF_2'(P_142,E_141))
      | ~ environment(E_140) ),
    inference(resolution,[status(thm)],[c_66,c_254]) ).

tff(c_871,plain,
    ! [E_143,P_144] :
      ( greater(end_time(E_143),critical_point(E_143))
      | ( end_time(E_143) = '#skF_2'(P_144,E_143) )
      | ~ in_environment(P_144,E_143)
      | ~ environment(E_143)
      | ~ slow_change(P_144)
      | ~ observational_period(P_144) ),
    inference(resolution,[status(thm)],[c_10,c_867]) ).

tff(c_895,plain,
    ! [P_1] :
      ( greater(end_time('#skF_1'(P_1)),critical_point('#skF_1'(P_1)))
      | ( end_time('#skF_1'(P_1)) = '#skF_2'(P_1,'#skF_1'(P_1)) )
      | ~ environment('#skF_1'(P_1))
      | ~ slow_change(P_1)
      | selection_favors(efficient_producers,first_movers,P_1)
      | ~ observational_period(P_1) ),
    inference(resolution,[status(thm)],[c_42,c_871]) ).

tff(c_1347,plain,
    ! [P_165] :
      ( greater(end_time('#skF_1'(P_165)),critical_point('#skF_1'(P_165)))
      | ( end_time('#skF_1'(P_165)) = '#skF_2'(P_165,'#skF_1'(P_165)) )
      | ~ environment('#skF_1'(P_165))
      | ~ slow_change(P_165)
      | selection_favors(efficient_producers,first_movers,P_165)
      | ~ observational_period(P_165) ),
    inference(resolution,[status(thm)],[c_42,c_871]) ).

tff(c_20,plain,
    ! [E_13] :
      ( greater_or_equal(critical_point(E_13),start_time(E_13))
      | ~ environment(E_13) ),
    inference(cnfTransformation,[status(thm)],[f_94]) ).

tff(c_48,plain,
    ! [Y_27,X_28] :
      ( ( Y_27 = X_28 )
      | greater(X_28,Y_27)
      | ~ greater_or_equal(X_28,Y_27) ),
    inference(cnfTransformation,[status(thm)],[f_108]) ).

tff(c_70,plain,
    ! [E_36] :
      ( ( start_time(E_36) = critical_point(E_36) )
      | greater(critical_point(E_36),start_time(E_36))
      | ~ environment(E_36) ),
    inference(resolution,[status(thm)],[c_20,c_48]) ).

tff(c_169,plain,
    ! [X_57,E_58] :
      ( greater(X_57,start_time(E_58))
      | ~ greater(X_57,critical_point(E_58))
      | ( start_time(E_58) = critical_point(E_58) )
      | ~ environment(E_58) ),
    inference(resolution,[status(thm)],[c_70,c_22]) ).

tff(c_28,plain,
    ! [X_17,Y_18] :
      ( ~ greater(X_17,Y_18)
      | greater_or_equal(X_17,Y_18) ),
    inference(cnfTransformation,[status(thm)],[f_108]) ).

tff(c_26,plain,
    ! [Y_18] : greater_or_equal(Y_18,Y_18),
    inference(cnfTransformation,[status(thm)],[f_108]) ).

tff(c_75,plain,
    ! [E_38,T_39] :
      ( in_environment(E_38,T_39)
      | ~ greater_or_equal(end_time(E_38),T_39)
      | ~ greater_or_equal(T_39,start_time(E_38))
      | ~ environment(E_38) ),
    inference(cnfTransformation,[status(thm)],[f_80]) ).

tff(c_87,plain,
    ! [E_40] :
      ( in_environment(E_40,end_time(E_40))
      | ~ greater_or_equal(end_time(E_40),start_time(E_40))
      | ~ environment(E_40) ),
    inference(resolution,[status(thm)],[c_26,c_75]) ).

tff(c_96,plain,
    ! [E_40] :
      ( in_environment(E_40,end_time(E_40))
      | ~ environment(E_40)
      | ~ greater(end_time(E_40),start_time(E_40)) ),
    inference(resolution,[status(thm)],[c_28,c_87]) ).

tff(c_185,plain,
    ! [E_58] :
      ( in_environment(E_58,end_time(E_58))
      | ~ greater(end_time(E_58),critical_point(E_58))
      | ( start_time(E_58) = critical_point(E_58) )
      | ~ environment(E_58) ),
    inference(resolution,[status(thm)],[c_169,c_96]) ).

tff(c_3732,plain,
    ! [P_331] :
      ( in_environment('#skF_1'(P_331),end_time('#skF_1'(P_331)))
      | ( start_time('#skF_1'(P_331)) = critical_point('#skF_1'(P_331)) )
      | ( end_time('#skF_1'(P_331)) = '#skF_2'(P_331,'#skF_1'(P_331)) )
      | ~ environment('#skF_1'(P_331))
      | ~ slow_change(P_331)
      | selection_favors(efficient_producers,first_movers,P_331)
      | ~ observational_period(P_331) ),
    inference(resolution,[status(thm)],[c_1347,c_185]) ).

tff(c_1386,plain,
    ! [P_165] :
      ( selection_favors(efficient_producers,first_movers,end_time('#skF_1'(P_165)))
      | ~ in_environment('#skF_1'(P_165),end_time('#skF_1'(P_165)))
      | ( end_time('#skF_1'(P_165)) = '#skF_2'(P_165,'#skF_1'(P_165)) )
      | ~ environment('#skF_1'(P_165))
      | ~ slow_change(P_165)
      | selection_favors(efficient_producers,first_movers,P_165)
      | ~ observational_period(P_165) ),
    inference(resolution,[status(thm)],[c_1347,c_32]) ).

tff(c_4012,plain,
    ! [P_342] :
      ( selection_favors(efficient_producers,first_movers,end_time('#skF_1'(P_342)))
      | ( start_time('#skF_1'(P_342)) = critical_point('#skF_1'(P_342)) )
      | ( end_time('#skF_1'(P_342)) = '#skF_2'(P_342,'#skF_1'(P_342)) )
      | ~ environment('#skF_1'(P_342))
      | ~ slow_change(P_342)
      | selection_favors(efficient_producers,first_movers,P_342)
      | ~ observational_period(P_342) ),
    inference(resolution,[status(thm)],[c_3732,c_1386]) ).

tff(c_2,plain,
    ! [P_1] :
      ( ~ selection_favors(efficient_producers,first_movers,end_time('#skF_1'(P_1)))
      | selection_favors(efficient_producers,first_movers,P_1)
      | ~ propagation_strategy(efficient_producers)
      | ~ propagation_strategy(first_movers)
      | ~ observational_period(P_1) ),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_44,plain,
    ! [P_1] :
      ( ~ selection_favors(efficient_producers,first_movers,end_time('#skF_1'(P_1)))
      | selection_favors(efficient_producers,first_movers,P_1)
      | ~ observational_period(P_1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_14,c_2]) ).

tff(c_4278,plain,
    ! [P_343] :
      ( ( start_time('#skF_1'(P_343)) = critical_point('#skF_1'(P_343)) )
      | ( end_time('#skF_1'(P_343)) = '#skF_2'(P_343,'#skF_1'(P_343)) )
      | ~ environment('#skF_1'(P_343))
      | ~ slow_change(P_343)
      | selection_favors(efficient_producers,first_movers,P_343)
      | ~ observational_period(P_343) ),
    inference(resolution,[status(thm)],[c_4012,c_44]) ).

tff(c_4332,plain,
    ! [P_346] :
      ( ( start_time('#skF_1'(P_346)) = critical_point('#skF_1'(P_346)) )
      | ( end_time('#skF_1'(P_346)) = '#skF_2'(P_346,'#skF_1'(P_346)) )
      | ~ slow_change(P_346)
      | selection_favors(efficient_producers,first_movers,P_346)
      | ~ observational_period(P_346) ),
    inference(resolution,[status(thm)],[c_40,c_4278]) ).

tff(c_4713,plain,
    ! [P_347] :
      ( ~ selection_favors(efficient_producers,first_movers,'#skF_2'(P_347,'#skF_1'(P_347)))
      | selection_favors(efficient_producers,first_movers,P_347)
      | ~ observational_period(P_347)
      | ( start_time('#skF_1'(P_347)) = critical_point('#skF_1'(P_347)) )
      | ~ slow_change(P_347)
      | selection_favors(efficient_producers,first_movers,P_347)
      | ~ observational_period(P_347) ),
    inference(superposition,[status(thm),theory(equality)],[c_4332,c_44]) ).

tff(c_4722,plain,
    ! [P_348] :
      ( ( start_time('#skF_1'(P_348)) = critical_point('#skF_1'(P_348)) )
      | selection_favors(efficient_producers,first_movers,P_348)
      | ~ in_environment(P_348,'#skF_1'(P_348))
      | ~ environment('#skF_1'(P_348))
      | ~ slow_change(P_348)
      | ~ observational_period(P_348) ),
    inference(resolution,[status(thm)],[c_344,c_4713]) ).

tff(c_4727,plain,
    ! [P_349] :
      ( ( start_time('#skF_1'(P_349)) = critical_point('#skF_1'(P_349)) )
      | ~ environment('#skF_1'(P_349))
      | ~ slow_change(P_349)
      | selection_favors(efficient_producers,first_movers,P_349)
      | ~ observational_period(P_349) ),
    inference(resolution,[status(thm)],[c_42,c_4722]) ).

tff(c_4732,plain,
    ! [P_350] :
      ( ( start_time('#skF_1'(P_350)) = critical_point('#skF_1'(P_350)) )
      | ~ slow_change(P_350)
      | selection_favors(efficient_producers,first_movers,P_350)
      | ~ observational_period(P_350) ),
    inference(resolution,[status(thm)],[c_40,c_4727]) ).

tff(c_5028,plain,
    ! [P_355] :
      ( in_environment('#skF_1'(P_355),end_time('#skF_1'(P_355)))
      | ~ environment('#skF_1'(P_355))
      | ~ greater(end_time('#skF_1'(P_355)),critical_point('#skF_1'(P_355)))
      | ~ slow_change(P_355)
      | selection_favors(efficient_producers,first_movers,P_355)
      | ~ observational_period(P_355) ),
    inference(superposition,[status(thm),theory(equality)],[c_4732,c_96]) ).

tff(c_5070,plain,
    ! [P_357] :
      ( in_environment('#skF_1'(P_357),end_time('#skF_1'(P_357)))
      | ( end_time('#skF_1'(P_357)) = '#skF_2'(P_357,'#skF_1'(P_357)) )
      | ~ environment('#skF_1'(P_357))
      | ~ slow_change(P_357)
      | selection_favors(efficient_producers,first_movers,P_357)
      | ~ observational_period(P_357) ),
    inference(resolution,[status(thm)],[c_895,c_5028]) ).

tff(c_5170,plain,
    ! [P_359] :
      ( selection_favors(efficient_producers,first_movers,end_time('#skF_1'(P_359)))
      | ( end_time('#skF_1'(P_359)) = '#skF_2'(P_359,'#skF_1'(P_359)) )
      | ~ environment('#skF_1'(P_359))
      | ~ slow_change(P_359)
      | selection_favors(efficient_producers,first_movers,P_359)
      | ~ observational_period(P_359) ),
    inference(resolution,[status(thm)],[c_5070,c_1386]) ).

tff(c_5454,plain,
    ! [P_360] :
      ( ( end_time('#skF_1'(P_360)) = '#skF_2'(P_360,'#skF_1'(P_360)) )
      | ~ environment('#skF_1'(P_360))
      | ~ slow_change(P_360)
      | selection_favors(efficient_producers,first_movers,P_360)
      | ~ observational_period(P_360) ),
    inference(resolution,[status(thm)],[c_5170,c_44]) ).

tff(c_5473,plain,
    ! [P_364] :
      ( ( end_time('#skF_1'(P_364)) = '#skF_2'(P_364,'#skF_1'(P_364)) )
      | ~ slow_change(P_364)
      | selection_favors(efficient_producers,first_movers,P_364)
      | ~ observational_period(P_364) ),
    inference(resolution,[status(thm)],[c_40,c_5454]) ).

tff(c_5741,plain,
    ! [P_365] :
      ( ~ selection_favors(efficient_producers,first_movers,'#skF_2'(P_365,'#skF_1'(P_365)))
      | selection_favors(efficient_producers,first_movers,P_365)
      | ~ observational_period(P_365)
      | ~ slow_change(P_365)
      | selection_favors(efficient_producers,first_movers,P_365)
      | ~ observational_period(P_365) ),
    inference(superposition,[status(thm),theory(equality)],[c_5473,c_44]) ).

tff(c_5750,plain,
    ! [P_366] :
      ( selection_favors(efficient_producers,first_movers,P_366)
      | ~ in_environment(P_366,'#skF_1'(P_366))
      | ~ environment('#skF_1'(P_366))
      | ~ slow_change(P_366)
      | ~ observational_period(P_366) ),
    inference(resolution,[status(thm)],[c_344,c_5741]) ).

tff(c_5768,plain,
    ! [P_369] :
      ( ~ environment('#skF_1'(P_369))
      | ~ slow_change(P_369)
      | selection_favors(efficient_producers,first_movers,P_369)
      | ~ observational_period(P_369) ),
    inference(resolution,[status(thm)],[c_42,c_5750]) ).

tff(c_5773,plain,
    ! [P_370] :
      ( ~ slow_change(P_370)
      | selection_favors(efficient_producers,first_movers,P_370)
      | ~ observational_period(P_370) ),
    inference(resolution,[status(thm)],[c_40,c_5768]) ).

tff(c_34,plain,
    ~ selection_favors(efficient_producers,first_movers,'#skF_3'),
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_5779,plain,
    ( ~ slow_change('#skF_3')
    | ~ observational_period('#skF_3') ),
    inference(resolution,[status(thm)],[c_5773,c_34]) ).

tff(c_5784,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_38,c_36,c_5779]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : MGT039+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.37  % Computer : n009.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Thu Aug  3 20:25:38 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 11.04/3.72  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.04/3.73  
% 11.04/3.73  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.04/3.76  
% 11.04/3.76  Inference rules
% 11.04/3.76  ----------------------
% 11.04/3.76  #Ref     : 0
% 11.04/3.76  #Sup     : 1741
% 11.04/3.76  #Fact    : 4
% 11.04/3.76  #Define  : 0
% 11.04/3.76  #Split   : 0
% 11.04/3.76  #Chain   : 0
% 11.04/3.76  #Close   : 0
% 11.04/3.76  
% 11.04/3.76  Ordering : KBO
% 11.04/3.76  
% 11.04/3.76  Simplification rules
% 11.04/3.76  ----------------------
% 11.04/3.76  #Subsume      : 444
% 11.04/3.76  #Demod        : 10
% 11.04/3.76  #Tautology    : 78
% 11.04/3.76  #SimpNegUnit  : 0
% 11.04/3.76  #BackRed      : 0
% 11.04/3.76  
% 11.04/3.76  #Partial instantiations: 0
% 11.04/3.76  #Strategies tried      : 1
% 11.04/3.76  
% 11.04/3.76  Timing (in seconds)
% 11.04/3.76  ----------------------
% 11.04/3.76  Preprocessing        : 0.50
% 11.04/3.76  Parsing              : 0.28
% 11.04/3.76  CNF conversion       : 0.03
% 11.04/3.76  Main loop            : 2.16
% 11.04/3.77  Inferencing          : 0.62
% 11.04/3.77  Reduction            : 0.35
% 11.04/3.77  Demodulation         : 0.23
% 11.04/3.77  BG Simplification    : 0.07
% 11.04/3.77  Subsumption          : 0.99
% 11.04/3.77  Abstraction          : 0.10
% 11.04/3.77  MUC search           : 0.00
% 11.04/3.77  Cooper               : 0.00
% 11.04/3.77  Total                : 2.72
% 11.04/3.77  Index Insertion      : 0.00
% 11.04/3.77  Index Deletion       : 0.00
% 11.04/3.77  Index Matching       : 0.00
% 11.04/3.77  BG Taut test         : 0.00
%------------------------------------------------------------------------------