%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : MGT030-1 : TPTP v9.3.0. Released v2.4.0.
% 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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:02:55 AM UTC 2026
% Result : Unsatisfiable 8.72s 3.54s
% Output : CNFRefutation 9.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 16
% Syntax : Number of formulae : 160 ( 43 unt; 0 typ; 0 def)
% Number of atoms : 494 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 675 ( 341 ~; 334 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 140 ( 140 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subpopulations > in_environment > greater_or_equal > greater > stable > environment > sk1 > growth_rate > #nlpp > sk5 > sk3 > sk2 > sk4 > first_movers > efficient_producers
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(subpopulations,type,
subpopulations: ( $i * $i * $i * $i ) > $o ).
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(sk2,type,
sk2: $i > $i ).
tff(in_environment,type,
in_environment: ( $i * $i ) > $o ).
tff(efficient_producers,type,
efficient_producers: $i ).
tff(growth_rate,type,
growth_rate: ( $i * $i ) > $i ).
tff(sk5,type,
sk5: $i > $i ).
tff(environment,type,
environment: $i > $o ).
tff(sk4,type,
sk4: $i ).
tff(first_movers,type,
first_movers: $i ).
tff(greater_or_equal,type,
greater_or_equal: ( $i * $i ) > $o ).
tff(sk3,type,
sk3: $i > $i ).
tff(sk1,type,
sk1: ( $i * $i ) > $i ).
tff(stable,type,
stable: $i > $o ).
tff(f_161,axiom,
environment(sk4),
file(unknown,unknown) ).
tff(f_162,axiom,
stable(sk4),
file(unknown,unknown) ).
tff(f_146,axiom,
! [A] :
( ~ environment(A)
| ~ stable(A)
| in_environment(A,sk3(A)) ),
file(unknown,unknown) ).
tff(f_34,axiom,
! [A,B] :
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| in_environment(A,sk2(A)) ),
file(unknown,unknown) ).
tff(f_44,axiom,
! [A,B] :
( ~ environment(A)
| ~ in_environment(A,B)
| greater_or_equal(sk1(B,A),B)
| in_environment(A,sk2(A)) ),
file(unknown,unknown) ).
tff(f_160,axiom,
! [A,B] :
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,sk3(A))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
file(unknown,unknown) ).
tff(f_109,axiom,
! [A,B] :
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| in_environment(A,sk2(A)) ),
file(unknown,unknown) ).
tff(f_169,axiom,
! [A] :
( ~ in_environment(sk4,A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| subpopulations(first_movers,efficient_producers,sk4,sk5(A)) ),
file(unknown,unknown) ).
tff(f_82,axiom,
! [A,B] :
( ~ environment(A)
| ~ in_environment(A,B)
| greater_or_equal(sk1(B,A),B)
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ),
file(unknown,unknown) ).
tff(f_176,axiom,
! [A] :
( ~ in_environment(sk4,A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| greater(sk5(A),A) ),
file(unknown,unknown) ).
tff(f_98,axiom,
! [A,B,C] :
( ~ environment(A)
| ~ in_environment(A,B)
| greater_or_equal(sk1(B,A),B)
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(C,sk2(A))
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ),
file(unknown,unknown) ).
tff(f_184,axiom,
! [A] :
( ~ in_environment(sk4,A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| ~ greater(growth_rate(efficient_producers,sk5(A)),growth_rate(first_movers,sk5(A))) ),
file(unknown,unknown) ).
tff(f_121,axiom,
! [A,B] :
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ),
file(unknown,unknown) ).
tff(f_71,axiom,
! [A,B,C] :
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(C,sk2(A))
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ),
file(unknown,unknown) ).
tff(f_138,axiom,
! [A,B,C] :
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(C,sk2(A))
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ),
file(unknown,unknown) ).
tff(f_55,axiom,
! [A,B] :
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ),
file(unknown,unknown) ).
tff(c_24,plain,
environment(sk4),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_26,plain,
stable(sk4),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_20,plain,
! [A_22] :
( in_environment(A_22,sk3(A_22))
| ~ stable(A_22)
| ~ environment(A_22) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_2,plain,
! [A_1,B_2] :
( in_environment(A_1,sk2(A_1))
| subpopulations(first_movers,efficient_producers,A_1,sk1(B_2,A_1))
| ~ in_environment(A_1,B_2)
| ~ environment(A_1) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_4,plain,
! [A_3,B_4] :
( in_environment(A_3,sk2(A_3))
| greater_or_equal(sk1(B_4,A_3),B_4)
| ~ in_environment(A_3,B_4)
| ~ environment(A_3) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_65,plain,
! [B_40,A_41] :
( greater(growth_rate(efficient_producers,B_40),growth_rate(first_movers,B_40))
| ~ greater_or_equal(B_40,sk3(A_41))
| ~ subpopulations(first_movers,efficient_producers,A_41,B_40)
| ~ stable(A_41)
| ~ environment(A_41) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_237,plain,
! [A_90,A_91] :
( greater(growth_rate(efficient_producers,sk1(sk3(A_90),A_91)),growth_rate(first_movers,sk1(sk3(A_90),A_91)))
| ~ subpopulations(first_movers,efficient_producers,A_90,sk1(sk3(A_90),A_91))
| ~ stable(A_90)
| ~ environment(A_90)
| in_environment(A_91,sk2(A_91))
| ~ in_environment(A_91,sk3(A_90))
| ~ environment(A_91) ),
inference(resolution,[status(thm)],[c_4,c_65]) ).
tff(c_14,plain,
! [A_15,B_16] :
( in_environment(A_15,sk2(A_15))
| ~ greater(growth_rate(efficient_producers,sk1(B_16,A_15)),growth_rate(first_movers,sk1(B_16,A_15)))
| ~ in_environment(A_15,B_16)
| ~ environment(A_15) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_246,plain,
! [A_92,A_93] :
( ~ subpopulations(first_movers,efficient_producers,A_92,sk1(sk3(A_92),A_93))
| ~ stable(A_92)
| ~ environment(A_92)
| in_environment(A_93,sk2(A_93))
| ~ in_environment(A_93,sk3(A_92))
| ~ environment(A_93) ),
inference(resolution,[status(thm)],[c_237,c_14]) ).
tff(c_263,plain,
! [A_94] :
( ~ stable(A_94)
| in_environment(A_94,sk2(A_94))
| ~ in_environment(A_94,sk3(A_94))
| ~ environment(A_94) ),
inference(resolution,[status(thm)],[c_2,c_246]) ).
tff(c_267,plain,
! [A_22] :
( in_environment(A_22,sk2(A_22))
| ~ stable(A_22)
| ~ environment(A_22) ),
inference(resolution,[status(thm)],[c_20,c_263]) ).
tff(c_28,plain,
! [A_25] :
( subpopulations(first_movers,efficient_producers,sk4,sk5(A_25))
| greater(growth_rate(efficient_producers,A_25),growth_rate(first_movers,A_25))
| ~ in_environment(sk4,A_25) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_38,plain,
! [A_35,B_36] :
( ~ greater(growth_rate(efficient_producers,sk2(A_35)),growth_rate(first_movers,sk2(A_35)))
| greater_or_equal(sk1(B_36,A_35),B_36)
| ~ in_environment(A_35,B_36)
| ~ environment(A_35) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_45,plain,
! [B_36,A_35] :
( greater_or_equal(sk1(B_36,A_35),B_36)
| ~ in_environment(A_35,B_36)
| ~ environment(A_35)
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(A_35)))
| ~ in_environment(sk4,sk2(A_35)) ),
inference(resolution,[status(thm)],[c_28,c_38]) ).
tff(c_30,plain,
! [A_26] :
( greater(sk5(A_26),A_26)
| greater(growth_rate(efficient_producers,A_26),growth_rate(first_movers,A_26))
| ~ in_environment(sk4,A_26) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_46,plain,
! [B_36,A_35] :
( greater_or_equal(sk1(B_36,A_35),B_36)
| ~ in_environment(A_35,B_36)
| ~ environment(A_35)
| greater(sk5(sk2(A_35)),sk2(A_35))
| ~ in_environment(sk4,sk2(A_35)) ),
inference(resolution,[status(thm)],[c_30,c_38]) ).
tff(c_122,plain,
! [C_56,A_57,B_58] :
( greater(growth_rate(efficient_producers,C_56),growth_rate(first_movers,C_56))
| ~ greater(C_56,sk2(A_57))
| ~ subpopulations(first_movers,efficient_producers,A_57,C_56)
| greater_or_equal(sk1(B_58,A_57),B_58)
| ~ in_environment(A_57,B_58)
| ~ environment(A_57) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_128,plain,
! [A_35,B_58,B_36] :
( greater(growth_rate(efficient_producers,sk5(sk2(A_35))),growth_rate(first_movers,sk5(sk2(A_35))))
| ~ subpopulations(first_movers,efficient_producers,A_35,sk5(sk2(A_35)))
| greater_or_equal(sk1(B_58,A_35),B_58)
| ~ in_environment(A_35,B_58)
| greater_or_equal(sk1(B_36,A_35),B_36)
| ~ in_environment(A_35,B_36)
| ~ environment(A_35)
| ~ in_environment(sk4,sk2(A_35)) ),
inference(resolution,[status(thm)],[c_46,c_122]) ).
tff(c_353,plain,
! [A_114,B_115] :
( greater(growth_rate(efficient_producers,sk5(sk2(A_114))),growth_rate(first_movers,sk5(sk2(A_114))))
| ~ subpopulations(first_movers,efficient_producers,A_114,sk5(sk2(A_114)))
| ~ in_environment(A_114,B_115)
| ~ environment(A_114)
| ~ in_environment(sk4,sk2(A_114))
| greater_or_equal(sk1(B_115,A_114),B_115) ),
inference(factorization,[status(thm),theory(equality)],[c_128]) ).
tff(c_32,plain,
! [A_27] :
( ~ greater(growth_rate(efficient_producers,sk5(A_27)),growth_rate(first_movers,sk5(A_27)))
| greater(growth_rate(efficient_producers,A_27),growth_rate(first_movers,A_27))
| ~ in_environment(sk4,A_27) ),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_362,plain,
! [A_116,B_117] :
( greater(growth_rate(efficient_producers,sk2(A_116)),growth_rate(first_movers,sk2(A_116)))
| ~ subpopulations(first_movers,efficient_producers,A_116,sk5(sk2(A_116)))
| ~ in_environment(A_116,B_117)
| ~ environment(A_116)
| ~ in_environment(sk4,sk2(A_116))
| greater_or_equal(sk1(B_117,A_116),B_117) ),
inference(resolution,[status(thm)],[c_353,c_32]) ).
tff(c_10,plain,
! [A_10,B_11] :
( ~ greater(growth_rate(efficient_producers,sk2(A_10)),growth_rate(first_movers,sk2(A_10)))
| greater_or_equal(sk1(B_11,A_10),B_11)
| ~ in_environment(A_10,B_11)
| ~ environment(A_10) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_382,plain,
! [B_118,A_119,B_120] :
( greater_or_equal(sk1(B_118,A_119),B_118)
| ~ in_environment(A_119,B_118)
| ~ subpopulations(first_movers,efficient_producers,A_119,sk5(sk2(A_119)))
| ~ in_environment(A_119,B_120)
| ~ environment(A_119)
| ~ in_environment(sk4,sk2(A_119))
| greater_or_equal(sk1(B_120,A_119),B_120) ),
inference(resolution,[status(thm)],[c_362,c_10]) ).
tff(c_388,plain,
! [B_118,B_120,B_36] :
( greater_or_equal(sk1(B_118,sk4),B_118)
| ~ in_environment(sk4,B_118)
| ~ in_environment(sk4,B_120)
| greater_or_equal(sk1(B_120,sk4),B_120)
| greater_or_equal(sk1(B_36,sk4),B_36)
| ~ in_environment(sk4,B_36)
| ~ environment(sk4)
| ~ in_environment(sk4,sk2(sk4)) ),
inference(resolution,[status(thm)],[c_45,c_382]) ).
tff(c_394,plain,
! [B_118,B_120,B_36] :
( greater_or_equal(sk1(B_118,sk4),B_118)
| ~ in_environment(sk4,B_118)
| ~ in_environment(sk4,B_120)
| greater_or_equal(sk1(B_120,sk4),B_120)
| greater_or_equal(sk1(B_36,sk4),B_36)
| ~ in_environment(sk4,B_36)
| ~ in_environment(sk4,sk2(sk4)) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_388]) ).
tff(c_404,plain,
~ in_environment(sk4,sk2(sk4)),
inference(splitLeft,[status(thm)],[c_394]) ).
tff(c_408,plain,
( ~ stable(sk4)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[c_267,c_404]) ).
tff(c_417,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_408]) ).
tff(c_418,plain,
! [B_36,B_120,B_118] :
( greater_or_equal(sk1(B_36,sk4),B_36)
| ~ in_environment(sk4,B_36)
| ~ in_environment(sk4,B_120)
| greater_or_equal(sk1(B_120,sk4),B_120)
| greater_or_equal(sk1(B_118,sk4),B_118)
| ~ in_environment(sk4,B_118) ),
inference(splitRight,[status(thm)],[c_394]) ).
tff(c_434,plain,
! [B_126] :
( greater_or_equal(sk1(B_126,sk4),B_126)
| ~ in_environment(sk4,B_126) ),
inference(splitLeft,[status(thm)],[c_418]) ).
tff(c_22,plain,
! [B_24,A_23] :
( greater(growth_rate(efficient_producers,B_24),growth_rate(first_movers,B_24))
| ~ greater_or_equal(B_24,sk3(A_23))
| ~ subpopulations(first_movers,efficient_producers,A_23,B_24)
| ~ stable(A_23)
| ~ environment(A_23) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_439,plain,
! [A_127] :
( greater(growth_rate(efficient_producers,sk1(sk3(A_127),sk4)),growth_rate(first_movers,sk1(sk3(A_127),sk4)))
| ~ subpopulations(first_movers,efficient_producers,A_127,sk1(sk3(A_127),sk4))
| ~ stable(A_127)
| ~ environment(A_127)
| ~ in_environment(sk4,sk3(A_127)) ),
inference(resolution,[status(thm)],[c_434,c_22]) ).
tff(c_16,plain,
! [A_17,B_18] :
( ~ greater(growth_rate(efficient_producers,sk2(A_17)),growth_rate(first_movers,sk2(A_17)))
| ~ greater(growth_rate(efficient_producers,sk1(B_18,A_17)),growth_rate(first_movers,sk1(B_18,A_17)))
| ~ in_environment(A_17,B_18)
| ~ environment(A_17) ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_442,plain,
! [A_127] :
( ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ environment(sk4)
| ~ subpopulations(first_movers,efficient_producers,A_127,sk1(sk3(A_127),sk4))
| ~ stable(A_127)
| ~ environment(A_127)
| ~ in_environment(sk4,sk3(A_127)) ),
inference(resolution,[status(thm)],[c_439,c_16]) ).
tff(c_448,plain,
! [A_127] :
( ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ subpopulations(first_movers,efficient_producers,A_127,sk1(sk3(A_127),sk4))
| ~ stable(A_127)
| ~ environment(A_127)
| ~ in_environment(sk4,sk3(A_127)) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_442]) ).
tff(c_461,plain,
~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))),
inference(splitLeft,[status(thm)],[c_448]) ).
tff(c_419,plain,
in_environment(sk4,sk2(sk4)),
inference(splitRight,[status(thm)],[c_394]) ).
tff(c_472,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| ~ in_environment(sk4,sk2(sk4)) ),
inference(resolution,[status(thm)],[c_28,c_461]) ).
tff(c_484,plain,
subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))),
inference(demodulation,[status(thm),theory(equality)],[c_419,c_472]) ).
tff(c_475,plain,
( greater(sk5(sk2(sk4)),sk2(sk4))
| ~ in_environment(sk4,sk2(sk4)) ),
inference(resolution,[status(thm)],[c_30,c_461]) ).
tff(c_487,plain,
greater(sk5(sk2(sk4)),sk2(sk4)),
inference(demodulation,[status(thm),theory(equality)],[c_419,c_475]) ).
tff(c_8,plain,
! [C_9,A_7,B_8] :
( greater(growth_rate(efficient_producers,C_9),growth_rate(first_movers,C_9))
| ~ greater(C_9,sk2(A_7))
| ~ subpopulations(first_movers,efficient_producers,A_7,C_9)
| subpopulations(first_movers,efficient_producers,A_7,sk1(B_8,A_7))
| ~ in_environment(A_7,B_8)
| ~ environment(A_7) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_491,plain,
! [B_8] :
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| subpopulations(first_movers,efficient_producers,sk4,sk1(B_8,sk4))
| ~ in_environment(sk4,B_8)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[c_487,c_8]) ).
tff(c_499,plain,
! [B_8] :
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| subpopulations(first_movers,efficient_producers,sk4,sk1(B_8,sk4))
| ~ in_environment(sk4,B_8) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_491]) ).
tff(c_570,plain,
! [B_8] :
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| subpopulations(first_movers,efficient_producers,sk4,sk1(B_8,sk4))
| ~ in_environment(sk4,B_8) ),
inference(demodulation,[status(thm),theory(equality)],[c_484,c_499]) ).
tff(c_571,plain,
greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))),
inference(splitLeft,[status(thm)],[c_570]) ).
tff(c_574,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk2(sk4)) ),
inference(resolution,[status(thm)],[c_571,c_32]) ).
tff(c_577,plain,
greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))),
inference(demodulation,[status(thm),theory(equality)],[c_419,c_574]) ).
tff(c_579,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_461,c_577]) ).
tff(c_580,plain,
! [B_8] :
( subpopulations(first_movers,efficient_producers,sk4,sk1(B_8,sk4))
| ~ in_environment(sk4,B_8) ),
inference(splitRight,[status(thm)],[c_570]) ).
tff(c_438,plain,
! [A_23] :
( greater(growth_rate(efficient_producers,sk1(sk3(A_23),sk4)),growth_rate(first_movers,sk1(sk3(A_23),sk4)))
| ~ subpopulations(first_movers,efficient_producers,A_23,sk1(sk3(A_23),sk4))
| ~ stable(A_23)
| ~ environment(A_23)
| ~ in_environment(sk4,sk3(A_23)) ),
inference(resolution,[status(thm)],[c_434,c_22]) ).
tff(c_581,plain,
~ greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))),
inference(splitRight,[status(thm)],[c_570]) ).
tff(c_18,plain,
! [C_21,A_19,B_20] :
( greater(growth_rate(efficient_producers,C_21),growth_rate(first_movers,C_21))
| ~ greater(C_21,sk2(A_19))
| ~ subpopulations(first_movers,efficient_producers,A_19,C_21)
| ~ greater(growth_rate(efficient_producers,sk1(B_20,A_19)),growth_rate(first_movers,sk1(B_20,A_19)))
| ~ in_environment(A_19,B_20)
| ~ environment(A_19) ),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_489,plain,
! [B_20] :
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| ~ greater(growth_rate(efficient_producers,sk1(B_20,sk4)),growth_rate(first_movers,sk1(B_20,sk4)))
| ~ in_environment(sk4,B_20)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[c_487,c_18]) ).
tff(c_496,plain,
! [B_20] :
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| ~ greater(growth_rate(efficient_producers,sk1(B_20,sk4)),growth_rate(first_movers,sk1(B_20,sk4)))
| ~ in_environment(sk4,B_20) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_489]) ).
tff(c_621,plain,
! [B_20] :
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ greater(growth_rate(efficient_producers,sk1(B_20,sk4)),growth_rate(first_movers,sk1(B_20,sk4)))
| ~ in_environment(sk4,B_20) ),
inference(demodulation,[status(thm),theory(equality)],[c_484,c_496]) ).
tff(c_623,plain,
! [B_136] :
( ~ greater(growth_rate(efficient_producers,sk1(B_136,sk4)),growth_rate(first_movers,sk1(B_136,sk4)))
| ~ in_environment(sk4,B_136) ),
inference(negUnitSimplification,[status(thm)],[c_581,c_621]) ).
tff(c_681,plain,
! [A_141] :
( ~ subpopulations(first_movers,efficient_producers,A_141,sk1(sk3(A_141),sk4))
| ~ stable(A_141)
| ~ environment(A_141)
| ~ in_environment(sk4,sk3(A_141)) ),
inference(resolution,[status(thm)],[c_438,c_623]) ).
tff(c_685,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| ~ in_environment(sk4,sk3(sk4)) ),
inference(resolution,[status(thm)],[c_580,c_681]) ).
tff(c_702,plain,
~ in_environment(sk4,sk3(sk4)),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_685]) ).
tff(c_711,plain,
( ~ stable(sk4)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[c_20,c_702]) ).
tff(c_715,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_711]) ).
tff(c_717,plain,
greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))),
inference(splitRight,[status(thm)],[c_448]) ).
tff(c_6,plain,
! [A_5,B_6] :
( ~ greater(growth_rate(efficient_producers,sk2(A_5)),growth_rate(first_movers,sk2(A_5)))
| subpopulations(first_movers,efficient_producers,A_5,sk1(B_6,A_5))
| ~ in_environment(A_5,B_6)
| ~ environment(A_5) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_725,plain,
! [B_6] :
( subpopulations(first_movers,efficient_producers,sk4,sk1(B_6,sk4))
| ~ in_environment(sk4,B_6)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[c_717,c_6]) ).
tff(c_739,plain,
! [B_6] :
( subpopulations(first_movers,efficient_producers,sk4,sk1(B_6,sk4))
| ~ in_environment(sk4,B_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_725]) ).
tff(c_750,plain,
! [A_143] :
( ~ subpopulations(first_movers,efficient_producers,A_143,sk1(sk3(A_143),sk4))
| ~ stable(A_143)
| ~ environment(A_143)
| ~ in_environment(sk4,sk3(A_143)) ),
inference(splitRight,[status(thm)],[c_448]) ).
tff(c_754,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| ~ in_environment(sk4,sk3(sk4)) ),
inference(resolution,[status(thm)],[c_739,c_750]) ).
tff(c_771,plain,
~ in_environment(sk4,sk3(sk4)),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_754]) ).
tff(c_780,plain,
( ~ stable(sk4)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[c_20,c_771]) ).
tff(c_784,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_780]) ).
tff(c_785,plain,
! [B_120,B_36] :
( ~ in_environment(sk4,B_120)
| greater_or_equal(sk1(B_120,sk4),B_120)
| greater_or_equal(sk1(B_36,sk4),B_36)
| ~ in_environment(sk4,B_36) ),
inference(splitRight,[status(thm)],[c_418]) ).
tff(c_787,plain,
! [B_144] :
( greater_or_equal(sk1(B_144,sk4),B_144)
| ~ in_environment(sk4,B_144) ),
inference(splitLeft,[status(thm)],[c_785]) ).
tff(c_792,plain,
! [A_145] :
( greater(growth_rate(efficient_producers,sk1(sk3(A_145),sk4)),growth_rate(first_movers,sk1(sk3(A_145),sk4)))
| ~ subpopulations(first_movers,efficient_producers,A_145,sk1(sk3(A_145),sk4))
| ~ stable(A_145)
| ~ environment(A_145)
| ~ in_environment(sk4,sk3(A_145)) ),
inference(resolution,[status(thm)],[c_787,c_22]) ).
tff(c_795,plain,
! [A_145] :
( ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ environment(sk4)
| ~ subpopulations(first_movers,efficient_producers,A_145,sk1(sk3(A_145),sk4))
| ~ stable(A_145)
| ~ environment(A_145)
| ~ in_environment(sk4,sk3(A_145)) ),
inference(resolution,[status(thm)],[c_792,c_16]) ).
tff(c_801,plain,
! [A_145] :
( ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ subpopulations(first_movers,efficient_producers,A_145,sk1(sk3(A_145),sk4))
| ~ stable(A_145)
| ~ environment(A_145)
| ~ in_environment(sk4,sk3(A_145)) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_795]) ).
tff(c_805,plain,
~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))),
inference(splitLeft,[status(thm)],[c_801]) ).
tff(c_816,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| ~ in_environment(sk4,sk2(sk4)) ),
inference(resolution,[status(thm)],[c_28,c_805]) ).
tff(c_828,plain,
subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))),
inference(demodulation,[status(thm),theory(equality)],[c_419,c_816]) ).
tff(c_819,plain,
( greater(sk5(sk2(sk4)),sk2(sk4))
| ~ in_environment(sk4,sk2(sk4)) ),
inference(resolution,[status(thm)],[c_30,c_805]) ).
tff(c_831,plain,
greater(sk5(sk2(sk4)),sk2(sk4)),
inference(demodulation,[status(thm),theory(equality)],[c_419,c_819]) ).
tff(c_835,plain,
! [B_8] :
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| subpopulations(first_movers,efficient_producers,sk4,sk1(B_8,sk4))
| ~ in_environment(sk4,B_8)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[c_831,c_8]) ).
tff(c_843,plain,
! [B_8] :
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| subpopulations(first_movers,efficient_producers,sk4,sk1(B_8,sk4))
| ~ in_environment(sk4,B_8) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_835]) ).
tff(c_923,plain,
! [B_8] :
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| subpopulations(first_movers,efficient_producers,sk4,sk1(B_8,sk4))
| ~ in_environment(sk4,B_8) ),
inference(demodulation,[status(thm),theory(equality)],[c_828,c_843]) ).
tff(c_924,plain,
greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))),
inference(splitLeft,[status(thm)],[c_923]) ).
tff(c_927,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk2(sk4)) ),
inference(resolution,[status(thm)],[c_924,c_32]) ).
tff(c_930,plain,
greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))),
inference(demodulation,[status(thm),theory(equality)],[c_419,c_927]) ).
tff(c_932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_805,c_930]) ).
tff(c_933,plain,
! [B_8] :
( subpopulations(first_movers,efficient_producers,sk4,sk1(B_8,sk4))
| ~ in_environment(sk4,B_8) ),
inference(splitRight,[status(thm)],[c_923]) ).
tff(c_791,plain,
! [A_23] :
( greater(growth_rate(efficient_producers,sk1(sk3(A_23),sk4)),growth_rate(first_movers,sk1(sk3(A_23),sk4)))
| ~ subpopulations(first_movers,efficient_producers,A_23,sk1(sk3(A_23),sk4))
| ~ stable(A_23)
| ~ environment(A_23)
| ~ in_environment(sk4,sk3(A_23)) ),
inference(resolution,[status(thm)],[c_787,c_22]) ).
tff(c_934,plain,
~ greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))),
inference(splitRight,[status(thm)],[c_923]) ).
tff(c_833,plain,
! [B_20] :
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| ~ greater(growth_rate(efficient_producers,sk1(B_20,sk4)),growth_rate(first_movers,sk1(B_20,sk4)))
| ~ in_environment(sk4,B_20)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[c_831,c_18]) ).
tff(c_840,plain,
! [B_20] :
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| ~ greater(growth_rate(efficient_producers,sk1(B_20,sk4)),growth_rate(first_movers,sk1(B_20,sk4)))
| ~ in_environment(sk4,B_20) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_833]) ).
tff(c_974,plain,
! [B_20] :
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ greater(growth_rate(efficient_producers,sk1(B_20,sk4)),growth_rate(first_movers,sk1(B_20,sk4)))
| ~ in_environment(sk4,B_20) ),
inference(demodulation,[status(thm),theory(equality)],[c_828,c_840]) ).
tff(c_976,plain,
! [B_154] :
( ~ greater(growth_rate(efficient_producers,sk1(B_154,sk4)),growth_rate(first_movers,sk1(B_154,sk4)))
| ~ in_environment(sk4,B_154) ),
inference(negUnitSimplification,[status(thm)],[c_934,c_974]) ).
tff(c_1010,plain,
! [A_157] :
( ~ subpopulations(first_movers,efficient_producers,A_157,sk1(sk3(A_157),sk4))
| ~ stable(A_157)
| ~ environment(A_157)
| ~ in_environment(sk4,sk3(A_157)) ),
inference(resolution,[status(thm)],[c_791,c_976]) ).
tff(c_1014,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| ~ in_environment(sk4,sk3(sk4)) ),
inference(resolution,[status(thm)],[c_933,c_1010]) ).
tff(c_1031,plain,
~ in_environment(sk4,sk3(sk4)),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_1014]) ).
tff(c_1040,plain,
( ~ stable(sk4)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[c_20,c_1031]) ).
tff(c_1044,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_1040]) ).
tff(c_1046,plain,
greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))),
inference(splitRight,[status(thm)],[c_801]) ).
tff(c_1054,plain,
! [B_6] :
( subpopulations(first_movers,efficient_producers,sk4,sk1(B_6,sk4))
| ~ in_environment(sk4,B_6)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[c_1046,c_6]) ).
tff(c_1068,plain,
! [B_6] :
( subpopulations(first_movers,efficient_producers,sk4,sk1(B_6,sk4))
| ~ in_environment(sk4,B_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_1054]) ).
tff(c_1108,plain,
! [A_161] :
( ~ subpopulations(first_movers,efficient_producers,A_161,sk1(sk3(A_161),sk4))
| ~ stable(A_161)
| ~ environment(A_161)
| ~ in_environment(sk4,sk3(A_161)) ),
inference(splitRight,[status(thm)],[c_801]) ).
tff(c_1112,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| ~ in_environment(sk4,sk3(sk4)) ),
inference(resolution,[status(thm)],[c_1068,c_1108]) ).
tff(c_1129,plain,
~ in_environment(sk4,sk3(sk4)),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_1112]) ).
tff(c_1138,plain,
( ~ stable(sk4)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[c_20,c_1129]) ).
tff(c_1142,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_1138]) ).
tff(c_1144,plain,
! [B_162] :
( ~ in_environment(sk4,B_162)
| greater_or_equal(sk1(B_162,sk4),B_162) ),
inference(splitRight,[status(thm)],[c_785]) ).
tff(c_1158,plain,
! [A_165] :
( greater(growth_rate(efficient_producers,sk1(sk3(A_165),sk4)),growth_rate(first_movers,sk1(sk3(A_165),sk4)))
| ~ subpopulations(first_movers,efficient_producers,A_165,sk1(sk3(A_165),sk4))
| ~ stable(A_165)
| ~ environment(A_165)
| ~ in_environment(sk4,sk3(A_165)) ),
inference(resolution,[status(thm)],[c_1144,c_22]) ).
tff(c_1161,plain,
! [A_165] :
( ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ environment(sk4)
| ~ subpopulations(first_movers,efficient_producers,A_165,sk1(sk3(A_165),sk4))
| ~ stable(A_165)
| ~ environment(A_165)
| ~ in_environment(sk4,sk3(A_165)) ),
inference(resolution,[status(thm)],[c_1158,c_16]) ).
tff(c_1167,plain,
! [A_165] :
( ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ subpopulations(first_movers,efficient_producers,A_165,sk1(sk3(A_165),sk4))
| ~ stable(A_165)
| ~ environment(A_165)
| ~ in_environment(sk4,sk3(A_165)) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_1161]) ).
tff(c_1171,plain,
~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))),
inference(splitLeft,[status(thm)],[c_1167]) ).
tff(c_1206,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| ~ in_environment(sk4,sk2(sk4)) ),
inference(resolution,[status(thm)],[c_28,c_1171]) ).
tff(c_1218,plain,
subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))),
inference(demodulation,[status(thm),theory(equality)],[c_419,c_1206]) ).
tff(c_1209,plain,
( greater(sk5(sk2(sk4)),sk2(sk4))
| ~ in_environment(sk4,sk2(sk4)) ),
inference(resolution,[status(thm)],[c_30,c_1171]) ).
tff(c_1221,plain,
greater(sk5(sk2(sk4)),sk2(sk4)),
inference(demodulation,[status(thm),theory(equality)],[c_419,c_1209]) ).
tff(c_1225,plain,
! [B_8] :
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| subpopulations(first_movers,efficient_producers,sk4,sk1(B_8,sk4))
| ~ in_environment(sk4,B_8)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[c_1221,c_8]) ).
tff(c_1233,plain,
! [B_8] :
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| subpopulations(first_movers,efficient_producers,sk4,sk1(B_8,sk4))
| ~ in_environment(sk4,B_8) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_1225]) ).
tff(c_1280,plain,
! [B_8] :
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| subpopulations(first_movers,efficient_producers,sk4,sk1(B_8,sk4))
| ~ in_environment(sk4,B_8) ),
inference(demodulation,[status(thm),theory(equality)],[c_1218,c_1233]) ).
tff(c_1281,plain,
greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))),
inference(splitLeft,[status(thm)],[c_1280]) ).
tff(c_1284,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk2(sk4)) ),
inference(resolution,[status(thm)],[c_1281,c_32]) ).
tff(c_1287,plain,
greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))),
inference(demodulation,[status(thm),theory(equality)],[c_419,c_1284]) ).
tff(c_1289,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1171,c_1287]) ).
tff(c_1290,plain,
! [B_8] :
( subpopulations(first_movers,efficient_producers,sk4,sk1(B_8,sk4))
| ~ in_environment(sk4,B_8) ),
inference(splitRight,[status(thm)],[c_1280]) ).
tff(c_1148,plain,
! [A_23] :
( greater(growth_rate(efficient_producers,sk1(sk3(A_23),sk4)),growth_rate(first_movers,sk1(sk3(A_23),sk4)))
| ~ subpopulations(first_movers,efficient_producers,A_23,sk1(sk3(A_23),sk4))
| ~ stable(A_23)
| ~ environment(A_23)
| ~ in_environment(sk4,sk3(A_23)) ),
inference(resolution,[status(thm)],[c_1144,c_22]) ).
tff(c_1291,plain,
~ greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))),
inference(splitRight,[status(thm)],[c_1280]) ).
tff(c_1223,plain,
! [B_20] :
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| ~ greater(growth_rate(efficient_producers,sk1(B_20,sk4)),growth_rate(first_movers,sk1(B_20,sk4)))
| ~ in_environment(sk4,B_20)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[c_1221,c_18]) ).
tff(c_1230,plain,
! [B_20] :
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| ~ greater(growth_rate(efficient_producers,sk1(B_20,sk4)),growth_rate(first_movers,sk1(B_20,sk4)))
| ~ in_environment(sk4,B_20) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_1223]) ).
tff(c_1331,plain,
! [B_20] :
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ greater(growth_rate(efficient_producers,sk1(B_20,sk4)),growth_rate(first_movers,sk1(B_20,sk4)))
| ~ in_environment(sk4,B_20) ),
inference(demodulation,[status(thm),theory(equality)],[c_1218,c_1230]) ).
tff(c_1333,plain,
! [B_172] :
( ~ greater(growth_rate(efficient_producers,sk1(B_172,sk4)),growth_rate(first_movers,sk1(B_172,sk4)))
| ~ in_environment(sk4,B_172) ),
inference(negUnitSimplification,[status(thm)],[c_1291,c_1331]) ).
tff(c_1367,plain,
! [A_175] :
( ~ subpopulations(first_movers,efficient_producers,A_175,sk1(sk3(A_175),sk4))
| ~ stable(A_175)
| ~ environment(A_175)
| ~ in_environment(sk4,sk3(A_175)) ),
inference(resolution,[status(thm)],[c_1148,c_1333]) ).
tff(c_1371,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| ~ in_environment(sk4,sk3(sk4)) ),
inference(resolution,[status(thm)],[c_1290,c_1367]) ).
tff(c_1388,plain,
~ in_environment(sk4,sk3(sk4)),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_1371]) ).
tff(c_1397,plain,
( ~ stable(sk4)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[c_20,c_1388]) ).
tff(c_1401,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_1397]) ).
tff(c_1403,plain,
greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))),
inference(splitRight,[status(thm)],[c_1167]) ).
tff(c_1411,plain,
! [B_6] :
( subpopulations(first_movers,efficient_producers,sk4,sk1(B_6,sk4))
| ~ in_environment(sk4,B_6)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[c_1403,c_6]) ).
tff(c_1425,plain,
! [B_6] :
( subpopulations(first_movers,efficient_producers,sk4,sk1(B_6,sk4))
| ~ in_environment(sk4,B_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_1411]) ).
tff(c_1436,plain,
! [A_177] :
( ~ subpopulations(first_movers,efficient_producers,A_177,sk1(sk3(A_177),sk4))
| ~ stable(A_177)
| ~ environment(A_177)
| ~ in_environment(sk4,sk3(A_177)) ),
inference(splitRight,[status(thm)],[c_1167]) ).
tff(c_1440,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| ~ in_environment(sk4,sk3(sk4)) ),
inference(resolution,[status(thm)],[c_1425,c_1436]) ).
tff(c_1457,plain,
~ in_environment(sk4,sk3(sk4)),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_1440]) ).
tff(c_1466,plain,
( ~ stable(sk4)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[c_20,c_1457]) ).
tff(c_1470,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_1466]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT030-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % 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
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 7 12:24:22 UTC 2026
% 0.10/0.36 % CPUTime :
% 8.72/3.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.72/3.56
% 8.72/3.56 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------