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 v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n017.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   : Unsatisfiable 11.10s 3.74s
% Output   : CNFRefutation 11.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   34
% Syntax   : Number of formulae    :   89 (  12 unt;  16 typ;   0 def)
%            Number of atoms       :  287 (  29 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  385 ( 171   ~; 214   |;   0   &)
%                                         (   0 <=>;   0  =>;   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   :   90 (;  90   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ selection_favors > in_environment > greater_or_equal > greater > slow_change > propagation_strategy > observational_period > environment > sk2 > #nlpp > start_time > sk1 > end_time > critical_point > sk3 > first_movers > efficient_producers

%Foreground sorts:

%Background operators:

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

tff(sk2,type,
    sk2: ( $i * $i ) > $i ).

tff(sk1,type,
    sk1: $i > $i ).

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

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

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

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

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

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(sk3,type,
    sk3: $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_165,axiom,
    observational_period(sk3),
    file(unknown,unknown) ).

tff(f_166,axiom,
    slow_change(sk3),
    file(unknown,unknown) ).

tff(f_93,axiom,
    propagation_strategy(first_movers),
    file(unknown,unknown) ).

tff(f_94,axiom,
    propagation_strategy(efficient_producers),
    file(unknown,unknown) ).

tff(f_37,axiom,
    ! [A] :
      ( ~ observational_period(A)
      | ~ propagation_strategy(first_movers)
      | ~ propagation_strategy(efficient_producers)
      | environment(sk1(A))
      | selection_favors(efficient_producers,first_movers,A) ),
    file(unknown,unknown) ).

tff(f_50,axiom,
    ! [A] :
      ( ~ observational_period(A)
      | ~ propagation_strategy(first_movers)
      | ~ propagation_strategy(efficient_producers)
      | in_environment(A,sk1(A))
      | selection_favors(efficient_producers,first_movers,A) ),
    file(unknown,unknown) ).

tff(f_78,axiom,
    ! [A,B] :
      ( ~ observational_period(A)
      | ~ slow_change(A)
      | ~ environment(B)
      | ~ in_environment(A,B)
      | in_environment(B,sk2(B,A)) ),
    file(unknown,unknown) ).

tff(f_113,axiom,
    ! [A,B] :
      ( ~ environment(A)
      | ~ in_environment(A,B)
      | greater_or_equal(end_time(A),B) ),
    file(unknown,unknown) ).

tff(f_133,axiom,
    ! [A,B] :
      ( ~ greater_or_equal(A,B)
      | greater(A,B)
      | ( A = B ) ),
    file(unknown,unknown) ).

tff(f_92,axiom,
    ! [A,B] :
      ( ~ observational_period(A)
      | ~ slow_change(A)
      | ~ environment(B)
      | ~ in_environment(A,B)
      | greater(sk2(B,A),critical_point(B)) ),
    file(unknown,unknown) ).

tff(f_126,axiom,
    ! [A,B,C] :
      ( ~ greater(A,B)
      | ~ greater(B,C)
      | greater(A,C) ),
    file(unknown,unknown) ).

tff(f_118,axiom,
    ! [A] :
      ( ~ environment(A)
      | greater_or_equal(critical_point(A),start_time(A)) ),
    file(unknown,unknown) ).

tff(f_138,axiom,
    ! [A,B] :
      ( ~ greater(A,B)
      | greater_or_equal(A,B) ),
    file(unknown,unknown) ).

tff(f_143,axiom,
    ! [A,B] :
      ( ( A != B )
      | greater_or_equal(A,B) ),
    file(unknown,unknown) ).

tff(f_105,axiom,
    ! [A,B] :
      ( ~ environment(A)
      | ~ greater_or_equal(B,start_time(A))
      | ~ greater_or_equal(end_time(A),B)
      | in_environment(A,B) ),
    file(unknown,unknown) ).

tff(f_164,axiom,
    ! [A,B] :
      ( ~ environment(A)
      | ~ in_environment(A,B)
      | ~ greater(B,critical_point(A))
      | selection_favors(efficient_producers,first_movers,B) ),
    file(unknown,unknown) ).

tff(f_64,axiom,
    ! [A] :
      ( ~ observational_period(A)
      | ~ propagation_strategy(first_movers)
      | ~ propagation_strategy(efficient_producers)
      | ~ selection_favors(efficient_producers,first_movers,end_time(sk1(A)))
      | selection_favors(efficient_producers,first_movers,A) ),
    file(unknown,unknown) ).

tff(f_168,axiom,
    ~ selection_favors(efficient_producers,first_movers,sk3),
    file(unknown,unknown) ).

tff(c_34,plain,
    observational_period(sk3),
    inference(cnfTransformation,[status(thm)],[f_165]) ).

tff(c_36,plain,
    slow_change(sk3),
    inference(cnfTransformation,[status(thm)],[f_166]) ).

tff(c_12,plain,
    propagation_strategy(first_movers),
    inference(cnfTransformation,[status(thm)],[f_93]) ).

tff(c_14,plain,
    propagation_strategy(efficient_producers),
    inference(cnfTransformation,[status(thm)],[f_94]) ).

tff(c_2,plain,
    ! [A_1] :
      ( selection_favors(efficient_producers,first_movers,A_1)
      | environment(sk1(A_1))
      | ~ propagation_strategy(efficient_producers)
      | ~ propagation_strategy(first_movers)
      | ~ observational_period(A_1) ),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_44,plain,
    ! [A_1] :
      ( selection_favors(efficient_producers,first_movers,A_1)
      | environment(sk1(A_1))
      | ~ observational_period(A_1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_14,c_2]) ).

tff(c_4,plain,
    ! [A_2] :
      ( selection_favors(efficient_producers,first_movers,A_2)
      | in_environment(A_2,sk1(A_2))
      | ~ propagation_strategy(efficient_producers)
      | ~ propagation_strategy(first_movers)
      | ~ observational_period(A_2) ),
    inference(cnfTransformation,[status(thm)],[f_50]) ).

tff(c_42,plain,
    ! [A_2] :
      ( selection_favors(efficient_producers,first_movers,A_2)
      | in_environment(A_2,sk1(A_2))
      | ~ observational_period(A_2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_14,c_4]) ).

tff(c_8,plain,
    ! [B_5,A_4] :
      ( in_environment(B_5,sk2(B_5,A_4))
      | ~ in_environment(A_4,B_5)
      | ~ environment(B_5)
      | ~ slow_change(A_4)
      | ~ observational_period(A_4) ),
    inference(cnfTransformation,[status(thm)],[f_78]) ).

tff(c_62,plain,
    ! [A_32,B_33] :
      ( greater_or_equal(end_time(A_32),B_33)
      | ~ in_environment(A_32,B_33)
      | ~ environment(A_32) ),
    inference(cnfTransformation,[status(thm)],[f_113]) ).

tff(c_24,plain,
    ! [B_17,A_16] :
      ( ( B_17 = A_16 )
      | greater(A_16,B_17)
      | ~ greater_or_equal(A_16,B_17) ),
    inference(cnfTransformation,[status(thm)],[f_133]) ).

tff(c_66,plain,
    ! [A_32,B_33] :
      ( ( end_time(A_32) = B_33 )
      | greater(end_time(A_32),B_33)
      | ~ in_environment(A_32,B_33)
      | ~ environment(A_32) ),
    inference(resolution,[status(thm)],[c_62,c_24]) ).

tff(c_187,plain,
    ! [B_62,A_63] :
      ( greater(sk2(B_62,A_63),critical_point(B_62))
      | ~ in_environment(A_63,B_62)
      | ~ environment(B_62)
      | ~ slow_change(A_63)
      | ~ observational_period(A_63) ),
    inference(cnfTransformation,[status(thm)],[f_92]) ).

tff(c_22,plain,
    ! [A_13,C_15,B_14] :
      ( greater(A_13,C_15)
      | ~ greater(B_14,C_15)
      | ~ greater(A_13,B_14) ),
    inference(cnfTransformation,[status(thm)],[f_126]) ).

tff(c_254,plain,
    ! [A_74,B_75,A_76] :
      ( greater(A_74,critical_point(B_75))
      | ~ greater(A_74,sk2(B_75,A_76))
      | ~ in_environment(A_76,B_75)
      | ~ environment(B_75)
      | ~ slow_change(A_76)
      | ~ observational_period(A_76) ),
    inference(resolution,[status(thm)],[c_187,c_22]) ).

tff(c_870,plain,
    ! [A_143,B_144,A_145] :
      ( greater(end_time(A_143),critical_point(B_144))
      | ~ in_environment(A_145,B_144)
      | ~ environment(B_144)
      | ~ slow_change(A_145)
      | ~ observational_period(A_145)
      | ( sk2(B_144,A_145) = end_time(A_143) )
      | ~ in_environment(A_143,sk2(B_144,A_145))
      | ~ environment(A_143) ),
    inference(resolution,[status(thm)],[c_66,c_254]) ).

tff(c_874,plain,
    ! [B_146,A_147] :
      ( greater(end_time(B_146),critical_point(B_146))
      | ( sk2(B_146,A_147) = end_time(B_146) )
      | ~ in_environment(A_147,B_146)
      | ~ environment(B_146)
      | ~ slow_change(A_147)
      | ~ observational_period(A_147) ),
    inference(resolution,[status(thm)],[c_8,c_870]) ).

tff(c_898,plain,
    ! [A_2] :
      ( greater(end_time(sk1(A_2)),critical_point(sk1(A_2)))
      | ( sk2(sk1(A_2),A_2) = end_time(sk1(A_2)) )
      | ~ environment(sk1(A_2))
      | ~ slow_change(A_2)
      | selection_favors(efficient_producers,first_movers,A_2)
      | ~ observational_period(A_2) ),
    inference(resolution,[status(thm)],[c_42,c_874]) ).

tff(c_1352,plain,
    ! [A_168] :
      ( greater(end_time(sk1(A_168)),critical_point(sk1(A_168)))
      | ( sk2(sk1(A_168),A_168) = end_time(sk1(A_168)) )
      | ~ environment(sk1(A_168))
      | ~ slow_change(A_168)
      | selection_favors(efficient_producers,first_movers,A_168)
      | ~ observational_period(A_168) ),
    inference(resolution,[status(thm)],[c_42,c_874]) ).

tff(c_20,plain,
    ! [A_12] :
      ( greater_or_equal(critical_point(A_12),start_time(A_12))
      | ~ environment(A_12) ),
    inference(cnfTransformation,[status(thm)],[f_118]) ).

tff(c_48,plain,
    ! [B_30,A_31] :
      ( ( B_30 = A_31 )
      | greater(A_31,B_30)
      | ~ greater_or_equal(A_31,B_30) ),
    inference(cnfTransformation,[status(thm)],[f_133]) ).

tff(c_70,plain,
    ! [A_39] :
      ( ( start_time(A_39) = critical_point(A_39) )
      | greater(critical_point(A_39),start_time(A_39))
      | ~ environment(A_39) ),
    inference(resolution,[status(thm)],[c_20,c_48]) ).

tff(c_169,plain,
    ! [A_60,A_61] :
      ( greater(A_60,start_time(A_61))
      | ~ greater(A_60,critical_point(A_61))
      | ( start_time(A_61) = critical_point(A_61) )
      | ~ environment(A_61) ),
    inference(resolution,[status(thm)],[c_70,c_22]) ).

tff(c_26,plain,
    ! [A_18,B_19] :
      ( greater_or_equal(A_18,B_19)
      | ~ greater(A_18,B_19) ),
    inference(cnfTransformation,[status(thm)],[f_138]) ).

tff(c_28,plain,
    ! [B_21] : greater_or_equal(B_21,B_21),
    inference(cnfTransformation,[status(thm)],[f_143]) ).

tff(c_75,plain,
    ! [A_41,B_42] :
      ( in_environment(A_41,B_42)
      | ~ greater_or_equal(end_time(A_41),B_42)
      | ~ greater_or_equal(B_42,start_time(A_41))
      | ~ environment(A_41) ),
    inference(cnfTransformation,[status(thm)],[f_105]) ).

tff(c_87,plain,
    ! [A_43] :
      ( in_environment(A_43,end_time(A_43))
      | ~ greater_or_equal(end_time(A_43),start_time(A_43))
      | ~ environment(A_43) ),
    inference(resolution,[status(thm)],[c_28,c_75]) ).

tff(c_96,plain,
    ! [A_43] :
      ( in_environment(A_43,end_time(A_43))
      | ~ environment(A_43)
      | ~ greater(end_time(A_43),start_time(A_43)) ),
    inference(resolution,[status(thm)],[c_26,c_87]) ).

tff(c_185,plain,
    ! [A_61] :
      ( in_environment(A_61,end_time(A_61))
      | ~ greater(end_time(A_61),critical_point(A_61))
      | ( start_time(A_61) = critical_point(A_61) )
      | ~ environment(A_61) ),
    inference(resolution,[status(thm)],[c_169,c_96]) ).

tff(c_3505,plain,
    ! [A_316] :
      ( in_environment(sk1(A_316),end_time(sk1(A_316)))
      | ( start_time(sk1(A_316)) = critical_point(sk1(A_316)) )
      | ( sk2(sk1(A_316),A_316) = end_time(sk1(A_316)) )
      | ~ environment(sk1(A_316))
      | ~ slow_change(A_316)
      | selection_favors(efficient_producers,first_movers,A_316)
      | ~ observational_period(A_316) ),
    inference(resolution,[status(thm)],[c_1352,c_185]) ).

tff(c_32,plain,
    ! [B_25,A_24] :
      ( selection_favors(efficient_producers,first_movers,B_25)
      | ~ greater(B_25,critical_point(A_24))
      | ~ in_environment(A_24,B_25)
      | ~ environment(A_24) ),
    inference(cnfTransformation,[status(thm)],[f_164]) ).

tff(c_1391,plain,
    ! [A_168] :
      ( selection_favors(efficient_producers,first_movers,end_time(sk1(A_168)))
      | ~ in_environment(sk1(A_168),end_time(sk1(A_168)))
      | ( sk2(sk1(A_168),A_168) = end_time(sk1(A_168)) )
      | ~ environment(sk1(A_168))
      | ~ slow_change(A_168)
      | selection_favors(efficient_producers,first_movers,A_168)
      | ~ observational_period(A_168) ),
    inference(resolution,[status(thm)],[c_1352,c_32]) ).

tff(c_4247,plain,
    ! [A_349] :
      ( selection_favors(efficient_producers,first_movers,end_time(sk1(A_349)))
      | ( start_time(sk1(A_349)) = critical_point(sk1(A_349)) )
      | ( sk2(sk1(A_349),A_349) = end_time(sk1(A_349)) )
      | ~ environment(sk1(A_349))
      | ~ slow_change(A_349)
      | selection_favors(efficient_producers,first_movers,A_349)
      | ~ observational_period(A_349) ),
    inference(resolution,[status(thm)],[c_3505,c_1391]) ).

tff(c_6,plain,
    ! [A_3] :
      ( selection_favors(efficient_producers,first_movers,A_3)
      | ~ selection_favors(efficient_producers,first_movers,end_time(sk1(A_3)))
      | ~ propagation_strategy(efficient_producers)
      | ~ propagation_strategy(first_movers)
      | ~ observational_period(A_3) ),
    inference(cnfTransformation,[status(thm)],[f_64]) ).

tff(c_40,plain,
    ! [A_3] :
      ( selection_favors(efficient_producers,first_movers,A_3)
      | ~ selection_favors(efficient_producers,first_movers,end_time(sk1(A_3)))
      | ~ observational_period(A_3) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_14,c_6]) ).

tff(c_4391,plain,
    ! [A_353] :
      ( ( start_time(sk1(A_353)) = critical_point(sk1(A_353)) )
      | ( sk2(sk1(A_353),A_353) = end_time(sk1(A_353)) )
      | ~ environment(sk1(A_353))
      | ~ slow_change(A_353)
      | selection_favors(efficient_producers,first_movers,A_353)
      | ~ observational_period(A_353) ),
    inference(resolution,[status(thm)],[c_4247,c_40]) ).

tff(c_4395,plain,
    ! [A_354] :
      ( ( start_time(sk1(A_354)) = critical_point(sk1(A_354)) )
      | ( sk2(sk1(A_354),A_354) = end_time(sk1(A_354)) )
      | ~ slow_change(A_354)
      | selection_favors(efficient_producers,first_movers,A_354)
      | ~ observational_period(A_354) ),
    inference(resolution,[status(thm)],[c_44,c_4391]) ).

tff(c_342,plain,
    ! [B_90,A_91] :
      ( selection_favors(efficient_producers,first_movers,sk2(B_90,A_91))
      | ~ in_environment(B_90,sk2(B_90,A_91))
      | ~ in_environment(A_91,B_90)
      | ~ environment(B_90)
      | ~ slow_change(A_91)
      | ~ observational_period(A_91) ),
    inference(resolution,[status(thm)],[c_187,c_32]) ).

tff(c_345,plain,
    ! [B_5,A_4] :
      ( selection_favors(efficient_producers,first_movers,sk2(B_5,A_4))
      | ~ in_environment(A_4,B_5)
      | ~ environment(B_5)
      | ~ slow_change(A_4)
      | ~ observational_period(A_4) ),
    inference(resolution,[status(thm)],[c_8,c_342]) ).

tff(c_5721,plain,
    ! [A_439] :
      ( selection_favors(efficient_producers,first_movers,end_time(sk1(A_439)))
      | ~ in_environment(A_439,sk1(A_439))
      | ~ environment(sk1(A_439))
      | ~ slow_change(A_439)
      | ~ observational_period(A_439)
      | ( start_time(sk1(A_439)) = critical_point(sk1(A_439)) )
      | ~ slow_change(A_439)
      | selection_favors(efficient_producers,first_movers,A_439)
      | ~ observational_period(A_439) ),
    inference(superposition,[status(thm),theory(equality)],[c_4395,c_345]) ).

tff(c_5770,plain,
    ! [A_443] :
      ( selection_favors(efficient_producers,first_movers,end_time(sk1(A_443)))
      | ~ environment(sk1(A_443))
      | ( start_time(sk1(A_443)) = critical_point(sk1(A_443)) )
      | ~ slow_change(A_443)
      | selection_favors(efficient_producers,first_movers,A_443)
      | ~ observational_period(A_443) ),
    inference(resolution,[status(thm)],[c_42,c_5721]) ).

tff(c_5775,plain,
    ! [A_444] :
      ( ~ environment(sk1(A_444))
      | ( start_time(sk1(A_444)) = critical_point(sk1(A_444)) )
      | ~ slow_change(A_444)
      | selection_favors(efficient_producers,first_movers,A_444)
      | ~ observational_period(A_444) ),
    inference(resolution,[status(thm)],[c_5770,c_40]) ).

tff(c_5780,plain,
    ! [A_445] :
      ( ( start_time(sk1(A_445)) = critical_point(sk1(A_445)) )
      | ~ slow_change(A_445)
      | selection_favors(efficient_producers,first_movers,A_445)
      | ~ observational_period(A_445) ),
    inference(resolution,[status(thm)],[c_44,c_5775]) ).

tff(c_6068,plain,
    ! [A_451] :
      ( in_environment(sk1(A_451),end_time(sk1(A_451)))
      | ~ environment(sk1(A_451))
      | ~ greater(end_time(sk1(A_451)),critical_point(sk1(A_451)))
      | ~ slow_change(A_451)
      | selection_favors(efficient_producers,first_movers,A_451)
      | ~ observational_period(A_451) ),
    inference(superposition,[status(thm),theory(equality)],[c_5780,c_96]) ).

tff(c_6206,plain,
    ! [A_455] :
      ( in_environment(sk1(A_455),end_time(sk1(A_455)))
      | ( sk2(sk1(A_455),A_455) = end_time(sk1(A_455)) )
      | ~ environment(sk1(A_455))
      | ~ slow_change(A_455)
      | selection_favors(efficient_producers,first_movers,A_455)
      | ~ observational_period(A_455) ),
    inference(resolution,[status(thm)],[c_898,c_6068]) ).

tff(c_6263,plain,
    ! [A_456] :
      ( selection_favors(efficient_producers,first_movers,end_time(sk1(A_456)))
      | ( sk2(sk1(A_456),A_456) = end_time(sk1(A_456)) )
      | ~ environment(sk1(A_456))
      | ~ slow_change(A_456)
      | selection_favors(efficient_producers,first_movers,A_456)
      | ~ observational_period(A_456) ),
    inference(resolution,[status(thm)],[c_6206,c_1391]) ).

tff(c_6317,plain,
    ! [A_457] :
      ( ( sk2(sk1(A_457),A_457) = end_time(sk1(A_457)) )
      | ~ environment(sk1(A_457))
      | ~ slow_change(A_457)
      | selection_favors(efficient_producers,first_movers,A_457)
      | ~ observational_period(A_457) ),
    inference(resolution,[status(thm)],[c_6263,c_40]) ).

tff(c_6321,plain,
    ! [A_458] :
      ( ( sk2(sk1(A_458),A_458) = end_time(sk1(A_458)) )
      | ~ slow_change(A_458)
      | selection_favors(efficient_producers,first_movers,A_458)
      | ~ observational_period(A_458) ),
    inference(resolution,[status(thm)],[c_44,c_6317]) ).

tff(c_6667,plain,
    ! [A_469] :
      ( selection_favors(efficient_producers,first_movers,end_time(sk1(A_469)))
      | ~ in_environment(A_469,sk1(A_469))
      | ~ environment(sk1(A_469))
      | ~ slow_change(A_469)
      | ~ observational_period(A_469)
      | ~ slow_change(A_469)
      | selection_favors(efficient_producers,first_movers,A_469)
      | ~ observational_period(A_469) ),
    inference(superposition,[status(thm),theory(equality)],[c_6321,c_345]) ).

tff(c_6671,plain,
    ! [A_470] :
      ( selection_favors(efficient_producers,first_movers,end_time(sk1(A_470)))
      | ~ environment(sk1(A_470))
      | ~ slow_change(A_470)
      | selection_favors(efficient_producers,first_movers,A_470)
      | ~ observational_period(A_470) ),
    inference(resolution,[status(thm)],[c_42,c_6667]) ).

tff(c_6676,plain,
    ! [A_471] :
      ( ~ environment(sk1(A_471))
      | ~ slow_change(A_471)
      | selection_favors(efficient_producers,first_movers,A_471)
      | ~ observational_period(A_471) ),
    inference(resolution,[status(thm)],[c_6671,c_40]) ).

tff(c_6681,plain,
    ! [A_472] :
      ( ~ slow_change(A_472)
      | selection_favors(efficient_producers,first_movers,A_472)
      | ~ observational_period(A_472) ),
    inference(resolution,[status(thm)],[c_44,c_6676]) ).

tff(c_38,plain,
    ~ selection_favors(efficient_producers,first_movers,sk3),
    inference(cnfTransformation,[status(thm)],[f_168]) ).

tff(c_6687,plain,
    ( ~ slow_change(sk3)
    | ~ observational_period(sk3) ),
    inference(resolution,[status(thm)],[c_6681,c_38]) ).

tff(c_6692,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_34,c_36,c_6687]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : MGT039-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.10  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.09/0.30  % Computer : n017.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Thu Aug  3 19:59:21 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 11.10/3.74  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.10/3.75  
% 11.10/3.75  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.10/3.79  
% 11.10/3.79  Inference rules
% 11.10/3.79  ----------------------
% 11.10/3.79  #Ref     : 0
% 11.10/3.79  #Sup     : 1931
% 11.10/3.79  #Fact    : 4
% 11.10/3.79  #Define  : 0
% 11.10/3.79  #Split   : 0
% 11.10/3.79  #Chain   : 0
% 11.10/3.79  #Close   : 0
% 11.10/3.79  
% 11.10/3.79  Ordering : KBO
% 11.10/3.79  
% 11.10/3.79  Simplification rules
% 11.10/3.79  ----------------------
% 11.10/3.79  #Subsume      : 474
% 11.10/3.79  #Demod        : 9
% 11.10/3.79  #Tautology    : 92
% 11.10/3.79  #SimpNegUnit  : 0
% 11.10/3.79  #BackRed      : 0
% 11.10/3.79  
% 11.10/3.79  #Partial instantiations: 0
% 11.10/3.79  #Strategies tried      : 1
% 11.10/3.79  
% 11.10/3.79  Timing (in seconds)
% 11.10/3.79  ----------------------
% 11.10/3.79  Preprocessing        : 0.46
% 11.10/3.79  Parsing              : 0.25
% 11.10/3.79  CNF conversion       : 0.03
% 11.10/3.79  Main loop            : 2.43
% 11.10/3.79  Inferencing          : 0.65
% 11.10/3.79  Reduction            : 0.34
% 11.10/3.79  Demodulation         : 0.21
% 11.10/3.79  BG Simplification    : 0.07
% 11.10/3.79  Subsumption          : 1.23
% 11.10/3.79  Abstraction          : 0.11
% 11.10/3.79  MUC search           : 0.00
% 11.10/3.79  Cooper               : 0.00
% 11.10/3.79  Total                : 2.96
% 11.10/3.79  Index Insertion      : 0.00
% 11.10/3.79  Index Deletion       : 0.00
% 11.10/3.79  Index Matching       : 0.00
% 11.10/3.79  BG Taut test         : 0.00
%------------------------------------------------------------------------------