TSTP Solution File: MGT027-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : MGT027-1 : 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 : n003.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 10:49:36 EDT 2023
% Result : Unsatisfiable 4.15s 2.33s
% Output : CNFRefutation 4.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 31
% Syntax : Number of formulae : 101 ( 15 unt; 16 typ; 0 def)
% Number of atoms : 327 ( 14 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 465 ( 223 ~; 242 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 12 >; 11 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 104 (; 104 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subpopulations > in_environment > greater_or_equal > greater > contracts_from > stable > environment > sk1 > growth_rate > cardinality_at_time > appear > #nlpp > sk2 > zero > sk3 > 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(appear,type,
appear: ( $i * $i ) > $i ).
tff(efficient_producers,type,
efficient_producers: $i ).
tff(contracts_from,type,
contracts_from: ( $i * $i ) > $o ).
tff(cardinality_at_time,type,
cardinality_at_time: ( $i * $i ) > $i ).
tff(growth_rate,type,
growth_rate: ( $i * $i ) > $i ).
tff(environment,type,
environment: $i > $o ).
tff(first_movers,type,
first_movers: $i ).
tff(sk3,type,
sk3: $i ).
tff(greater_or_equal,type,
greater_or_equal: ( $i * $i ) > $o ).
tff(sk1,type,
sk1: ( $i * $i ) > $i ).
tff(zero,type,
zero: $i ).
tff(stable,type,
stable: $i > $o ).
tff(f_159,axiom,
environment(sk3),
file(unknown,unknown) ).
tff(f_160,axiom,
stable(sk3),
file(unknown,unknown) ).
tff(f_100,axiom,
! [A] :
( ~ environment(A)
| ~ stable(A)
| in_environment(A,appear(efficient_producers,A)) ),
file(unknown,unknown) ).
tff(f_144,axiom,
! [A] :
( ~ environment(A)
| ~ stable(A)
| greater(sk2(A),appear(efficient_producers,A)) ),
file(unknown,unknown) ).
tff(f_92,axiom,
! [A,B,C] :
( ~ environment(A)
| ~ stable(A)
| ~ in_environment(A,B)
| ~ greater(C,B)
| in_environment(A,C) ),
file(unknown,unknown) ).
tff(f_166,axiom,
! [A] :
( ~ greater(A,appear(efficient_producers,sk3))
| ~ contracts_from(A,first_movers) ),
file(unknown,unknown) ).
tff(f_50,axiom,
! [A,B] :
( ~ environment(A)
| ~ stable(A)
| ~ in_environment(A,B)
| greater_or_equal(sk1(B,A),B)
| contracts_from(B,first_movers) ),
file(unknown,unknown) ).
tff(f_115,axiom,
! [A,B] :
( ~ greater_or_equal(A,B)
| greater(A,B)
| ( A = B ) ),
file(unknown,unknown) ).
tff(f_108,axiom,
! [A,B,C] :
( ~ greater(A,B)
| ~ greater(B,C)
| greater(A,C) ),
file(unknown,unknown) ).
tff(f_120,axiom,
! [A,B] :
( ~ greater(A,B)
| greater_or_equal(A,B) ),
file(unknown,unknown) ).
tff(f_136,axiom,
! [A,B] :
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater_or_equal(B,appear(efficient_producers,A))
| greater(cardinality_at_time(efficient_producers,B),zero) ),
file(unknown,unknown) ).
tff(f_37,axiom,
! [A,B] :
( ~ environment(A)
| ~ stable(A)
| ~ in_environment(A,B)
| greater(cardinality_at_time(first_movers,sk1(B,A)),zero)
| contracts_from(B,first_movers) ),
file(unknown,unknown) ).
tff(f_78,axiom,
! [A,B] :
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(cardinality_at_time(first_movers,B),zero)
| ~ greater(cardinality_at_time(efficient_producers,B),zero)
| subpopulations(first_movers,efficient_producers,A,B) ),
file(unknown,unknown) ).
tff(f_158,axiom,
! [A,B] :
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,sk2(A))
| greater(zero,growth_rate(first_movers,B)) ),
file(unknown,unknown) ).
tff(f_64,axiom,
! [A,B] :
( ~ environment(A)
| ~ stable(A)
| ~ in_environment(A,B)
| ~ greater(zero,growth_rate(first_movers,sk1(B,A)))
| contracts_from(B,first_movers) ),
file(unknown,unknown) ).
tff(c_28,plain,
environment(sk3),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_30,plain,
stable(sk3),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_12,plain,
! [A_12] :
( in_environment(A_12,appear(efficient_producers,A_12))
| ~ stable(A_12)
| ~ environment(A_12) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_24,plain,
! [A_24] :
( greater(sk2(A_24),appear(efficient_producers,A_24))
| ~ stable(A_24)
| ~ environment(A_24) ),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_59,plain,
! [A_39,C_40,B_41] :
( in_environment(A_39,C_40)
| ~ greater(C_40,B_41)
| ~ in_environment(A_39,B_41)
| ~ stable(A_39)
| ~ environment(A_39) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_141,plain,
! [A_65,A_66] :
( in_environment(A_65,sk2(A_66))
| ~ in_environment(A_65,appear(efficient_producers,A_66))
| ~ stable(A_65)
| ~ environment(A_65)
| ~ stable(A_66)
| ~ environment(A_66) ),
inference(resolution,[status(thm)],[c_24,c_59]) ).
tff(c_145,plain,
! [A_12] :
( in_environment(A_12,sk2(A_12))
| ~ stable(A_12)
| ~ environment(A_12) ),
inference(resolution,[status(thm)],[c_12,c_141]) ).
tff(c_48,plain,
! [A_38] :
( greater(sk2(A_38),appear(efficient_producers,A_38))
| ~ stable(A_38)
| ~ environment(A_38) ),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_32,plain,
! [A_27] :
( ~ contracts_from(A_27,first_movers)
| ~ greater(A_27,appear(efficient_producers,sk3)) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_54,plain,
( ~ contracts_from(sk2(sk3),first_movers)
| ~ stable(sk3)
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[c_48,c_32]) ).
tff(c_58,plain,
~ contracts_from(sk2(sk3),first_movers),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_30,c_54]) ).
tff(c_78,plain,
! [B_45,A_46] :
( contracts_from(B_45,first_movers)
| greater_or_equal(sk1(B_45,A_46),B_45)
| ~ in_environment(A_46,B_45)
| ~ stable(A_46)
| ~ environment(A_46) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_16,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_115]) ).
tff(c_82,plain,
! [B_45,A_46] :
( ( sk1(B_45,A_46) = B_45 )
| greater(sk1(B_45,A_46),B_45)
| contracts_from(B_45,first_movers)
| ~ in_environment(A_46,B_45)
| ~ stable(A_46)
| ~ environment(A_46) ),
inference(resolution,[status(thm)],[c_78,c_16]) ).
tff(c_14,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_108]) ).
tff(c_63,plain,
! [A_42,A_43] :
( greater(A_42,appear(efficient_producers,A_43))
| ~ greater(A_42,sk2(A_43))
| ~ stable(A_43)
| ~ environment(A_43) ),
inference(resolution,[status(thm)],[c_48,c_14]) ).
tff(c_10,plain,
! [A_9,C_11,B_10] :
( in_environment(A_9,C_11)
| ~ greater(C_11,B_10)
| ~ in_environment(A_9,B_10)
| ~ stable(A_9)
| ~ environment(A_9) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_235,plain,
! [A_87,A_88,A_89] :
( in_environment(A_87,A_88)
| ~ in_environment(A_87,appear(efficient_producers,A_89))
| ~ stable(A_87)
| ~ environment(A_87)
| ~ greater(A_88,sk2(A_89))
| ~ stable(A_89)
| ~ environment(A_89) ),
inference(resolution,[status(thm)],[c_63,c_10]) ).
tff(c_239,plain,
! [A_90,A_91] :
( in_environment(A_90,A_91)
| ~ greater(A_91,sk2(A_90))
| ~ stable(A_90)
| ~ environment(A_90) ),
inference(resolution,[status(thm)],[c_12,c_235]) ).
tff(c_244,plain,
! [A_90,A_46] :
( in_environment(A_90,sk1(sk2(A_90),A_46))
| ~ stable(A_90)
| ~ environment(A_90)
| ( sk1(sk2(A_90),A_46) = sk2(A_90) )
| contracts_from(sk2(A_90),first_movers)
| ~ in_environment(A_46,sk2(A_90))
| ~ stable(A_46)
| ~ environment(A_46) ),
inference(resolution,[status(thm)],[c_82,c_239]) ).
tff(c_185,plain,
! [B_82,A_83] :
( ( sk1(B_82,A_83) = B_82 )
| greater(sk1(B_82,A_83),B_82)
| contracts_from(B_82,first_movers)
| ~ in_environment(A_83,B_82)
| ~ stable(A_83)
| ~ environment(A_83) ),
inference(resolution,[status(thm)],[c_78,c_16]) ).
tff(c_55,plain,
! [A_13,A_38] :
( greater(A_13,appear(efficient_producers,A_38))
| ~ greater(A_13,sk2(A_38))
| ~ stable(A_38)
| ~ environment(A_38) ),
inference(resolution,[status(thm)],[c_48,c_14]) ).
tff(c_18,plain,
! [A_18,B_19] :
( greater_or_equal(A_18,B_19)
| ~ greater(A_18,B_19) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_83,plain,
! [B_47,A_48] :
( greater(cardinality_at_time(efficient_producers,B_47),zero)
| ~ greater_or_equal(B_47,appear(efficient_producers,A_48))
| ~ in_environment(A_48,B_47)
| ~ environment(A_48) ),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_119,plain,
! [A_57,A_58] :
( greater(cardinality_at_time(efficient_producers,A_57),zero)
| ~ in_environment(A_58,A_57)
| ~ environment(A_58)
| ~ greater(A_57,appear(efficient_producers,A_58)) ),
inference(resolution,[status(thm)],[c_18,c_83]) ).
tff(c_124,plain,
! [A_13,A_38] :
( greater(cardinality_at_time(efficient_producers,A_13),zero)
| ~ in_environment(A_38,A_13)
| ~ greater(A_13,sk2(A_38))
| ~ stable(A_38)
| ~ environment(A_38) ),
inference(resolution,[status(thm)],[c_55,c_119]) ).
tff(c_391,plain,
! [A_155,A_156] :
( greater(cardinality_at_time(efficient_producers,sk1(sk2(A_155),A_156)),zero)
| ~ in_environment(A_155,sk1(sk2(A_155),A_156))
| ~ stable(A_155)
| ~ environment(A_155)
| ( sk1(sk2(A_155),A_156) = sk2(A_155) )
| contracts_from(sk2(A_155),first_movers)
| ~ in_environment(A_156,sk2(A_155))
| ~ stable(A_156)
| ~ environment(A_156) ),
inference(resolution,[status(thm)],[c_185,c_124]) ).
tff(c_420,plain,
! [A_167,A_168] :
( greater(cardinality_at_time(efficient_producers,sk1(sk2(A_167),A_168)),zero)
| ~ stable(A_167)
| ~ environment(A_167)
| ( sk1(sk2(A_167),A_168) = sk2(A_167) )
| contracts_from(sk2(A_167),first_movers)
| ~ in_environment(A_168,sk2(A_167))
| ~ stable(A_168)
| ~ environment(A_168) ),
inference(resolution,[status(thm)],[c_244,c_391]) ).
tff(c_2,plain,
! [B_2,A_1] :
( contracts_from(B_2,first_movers)
| greater(cardinality_at_time(first_movers,sk1(B_2,A_1)),zero)
| ~ in_environment(A_1,B_2)
| ~ stable(A_1)
| ~ environment(A_1) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_177,plain,
! [A_73,B_74] :
( subpopulations(first_movers,efficient_producers,A_73,B_74)
| ~ greater(cardinality_at_time(efficient_producers,B_74),zero)
| ~ greater(cardinality_at_time(first_movers,B_74),zero)
| ~ in_environment(A_73,B_74)
| ~ environment(A_73) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_180,plain,
! [A_73,B_2,A_1] :
( subpopulations(first_movers,efficient_producers,A_73,sk1(B_2,A_1))
| ~ greater(cardinality_at_time(efficient_producers,sk1(B_2,A_1)),zero)
| ~ in_environment(A_73,sk1(B_2,A_1))
| ~ environment(A_73)
| contracts_from(B_2,first_movers)
| ~ in_environment(A_1,B_2)
| ~ stable(A_1)
| ~ environment(A_1) ),
inference(resolution,[status(thm)],[c_2,c_177]) ).
tff(c_456,plain,
! [A_180,A_181,A_182] :
( subpopulations(first_movers,efficient_producers,A_180,sk1(sk2(A_181),A_182))
| ~ in_environment(A_180,sk1(sk2(A_181),A_182))
| ~ environment(A_180)
| ~ stable(A_181)
| ~ environment(A_181)
| ( sk1(sk2(A_181),A_182) = sk2(A_181) )
| contracts_from(sk2(A_181),first_movers)
| ~ in_environment(A_182,sk2(A_181))
| ~ stable(A_182)
| ~ environment(A_182) ),
inference(resolution,[status(thm)],[c_420,c_180]) ).
tff(c_4,plain,
! [B_4,A_3] :
( contracts_from(B_4,first_movers)
| greater_or_equal(sk1(B_4,A_3),B_4)
| ~ in_environment(A_3,B_4)
| ~ stable(A_3)
| ~ environment(A_3) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_146,plain,
! [B_67,A_68] :
( greater(zero,growth_rate(first_movers,B_67))
| ~ greater_or_equal(B_67,sk2(A_68))
| ~ subpopulations(first_movers,efficient_producers,A_68,B_67)
| ~ stable(A_68)
| ~ environment(A_68) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_159,plain,
! [A_68,A_3] :
( greater(zero,growth_rate(first_movers,sk1(sk2(A_68),A_3)))
| ~ subpopulations(first_movers,efficient_producers,A_68,sk1(sk2(A_68),A_3))
| ~ stable(A_68)
| ~ environment(A_68)
| contracts_from(sk2(A_68),first_movers)
| ~ in_environment(A_3,sk2(A_68))
| ~ stable(A_3)
| ~ environment(A_3) ),
inference(resolution,[status(thm)],[c_4,c_146]) ).
tff(c_461,plain,
! [A_183,A_184] :
( greater(zero,growth_rate(first_movers,sk1(sk2(A_183),A_184)))
| ~ in_environment(A_183,sk1(sk2(A_183),A_184))
| ~ stable(A_183)
| ~ environment(A_183)
| ( sk1(sk2(A_183),A_184) = sk2(A_183) )
| contracts_from(sk2(A_183),first_movers)
| ~ in_environment(A_184,sk2(A_183))
| ~ stable(A_184)
| ~ environment(A_184) ),
inference(resolution,[status(thm)],[c_456,c_159]) ).
tff(c_473,plain,
! [A_185,A_186] :
( greater(zero,growth_rate(first_movers,sk1(sk2(A_185),A_186)))
| ~ stable(A_185)
| ~ environment(A_185)
| ( sk1(sk2(A_185),A_186) = sk2(A_185) )
| contracts_from(sk2(A_185),first_movers)
| ~ in_environment(A_186,sk2(A_185))
| ~ stable(A_186)
| ~ environment(A_186) ),
inference(resolution,[status(thm)],[c_244,c_461]) ).
tff(c_6,plain,
! [B_6,A_5] :
( contracts_from(B_6,first_movers)
| ~ greater(zero,growth_rate(first_movers,sk1(B_6,A_5)))
| ~ in_environment(A_5,B_6)
| ~ stable(A_5)
| ~ environment(A_5) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_487,plain,
! [A_187,A_188] :
( ~ stable(A_187)
| ~ environment(A_187)
| ( sk1(sk2(A_187),A_188) = sk2(A_187) )
| contracts_from(sk2(A_187),first_movers)
| ~ in_environment(A_188,sk2(A_187))
| ~ stable(A_188)
| ~ environment(A_188) ),
inference(resolution,[status(thm)],[c_473,c_6]) ).
tff(c_492,plain,
! [A_189] :
( ( sk1(sk2(A_189),A_189) = sk2(A_189) )
| contracts_from(sk2(A_189),first_movers)
| ~ stable(A_189)
| ~ environment(A_189) ),
inference(resolution,[status(thm)],[c_145,c_487]) ).
tff(c_538,plain,
( ( sk1(sk2(sk3),sk3) = sk2(sk3) )
| ~ stable(sk3)
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[c_492,c_58]) ).
tff(c_546,plain,
sk1(sk2(sk3),sk3) = sk2(sk3),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_30,c_538]) ).
tff(c_600,plain,
( contracts_from(sk2(sk3),first_movers)
| ~ greater(zero,growth_rate(first_movers,sk2(sk3)))
| ~ in_environment(sk3,sk2(sk3))
| ~ stable(sk3)
| ~ environment(sk3) ),
inference(superposition,[status(thm),theory(equality)],[c_546,c_6]) ).
tff(c_649,plain,
( contracts_from(sk2(sk3),first_movers)
| ~ greater(zero,growth_rate(first_movers,sk2(sk3)))
| ~ in_environment(sk3,sk2(sk3)) ),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_30,c_600]) ).
tff(c_650,plain,
( ~ greater(zero,growth_rate(first_movers,sk2(sk3)))
| ~ in_environment(sk3,sk2(sk3)) ),
inference(negUnitSimplification,[status(thm)],[c_58,c_649]) ).
tff(c_658,plain,
~ in_environment(sk3,sk2(sk3)),
inference(splitLeft,[status(thm)],[c_650]) ).
tff(c_661,plain,
( ~ stable(sk3)
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[c_145,c_658]) ).
tff(c_665,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_30,c_661]) ).
tff(c_667,plain,
in_environment(sk3,sk2(sk3)),
inference(splitRight,[status(thm)],[c_650]) ).
tff(c_162,plain,
! [A_69] :
( in_environment(A_69,sk2(A_69))
| ~ stable(A_69)
| ~ environment(A_69) ),
inference(resolution,[status(thm)],[c_12,c_141]) ).
tff(c_125,plain,
! [A_24] :
( greater(cardinality_at_time(efficient_producers,sk2(A_24)),zero)
| ~ in_environment(A_24,sk2(A_24))
| ~ stable(A_24)
| ~ environment(A_24) ),
inference(resolution,[status(thm)],[c_24,c_119]) ).
tff(c_165,plain,
! [A_69] :
( greater(cardinality_at_time(efficient_producers,sk2(A_69)),zero)
| ~ stable(A_69)
| ~ environment(A_69) ),
inference(resolution,[status(thm)],[c_162,c_125]) ).
tff(c_603,plain,
( contracts_from(sk2(sk3),first_movers)
| greater(cardinality_at_time(first_movers,sk2(sk3)),zero)
| ~ in_environment(sk3,sk2(sk3))
| ~ stable(sk3)
| ~ environment(sk3) ),
inference(superposition,[status(thm),theory(equality)],[c_546,c_2]) ).
tff(c_652,plain,
( contracts_from(sk2(sk3),first_movers)
| greater(cardinality_at_time(first_movers,sk2(sk3)),zero)
| ~ in_environment(sk3,sk2(sk3)) ),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_30,c_603]) ).
tff(c_653,plain,
( greater(cardinality_at_time(first_movers,sk2(sk3)),zero)
| ~ in_environment(sk3,sk2(sk3)) ),
inference(negUnitSimplification,[status(thm)],[c_58,c_652]) ).
tff(c_677,plain,
greater(cardinality_at_time(first_movers,sk2(sk3)),zero),
inference(demodulation,[status(thm),theory(equality)],[c_667,c_653]) ).
tff(c_8,plain,
! [A_7,B_8] :
( subpopulations(first_movers,efficient_producers,A_7,B_8)
| ~ greater(cardinality_at_time(efficient_producers,B_8),zero)
| ~ greater(cardinality_at_time(first_movers,B_8),zero)
| ~ in_environment(A_7,B_8)
| ~ environment(A_7) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_686,plain,
! [A_7] :
( subpopulations(first_movers,efficient_producers,A_7,sk2(sk3))
| ~ greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero)
| ~ in_environment(A_7,sk2(sk3))
| ~ environment(A_7) ),
inference(resolution,[status(thm)],[c_677,c_8]) ).
tff(c_708,plain,
~ greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero),
inference(splitLeft,[status(thm)],[c_686]) ).
tff(c_711,plain,
( ~ stable(sk3)
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[c_165,c_708]) ).
tff(c_715,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_30,c_711]) ).
tff(c_733,plain,
! [A_199] :
( subpopulations(first_movers,efficient_producers,A_199,sk2(sk3))
| ~ in_environment(A_199,sk2(sk3))
| ~ environment(A_199) ),
inference(splitRight,[status(thm)],[c_686]) ).
tff(c_666,plain,
~ greater(zero,growth_rate(first_movers,sk2(sk3))),
inference(splitRight,[status(thm)],[c_650]) ).
tff(c_574,plain,
( greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3)))
| ~ subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))
| ~ stable(sk3)
| ~ environment(sk3)
| contracts_from(sk2(sk3),first_movers)
| ~ in_environment(sk3,sk2(sk3))
| ~ stable(sk3)
| ~ environment(sk3) ),
inference(superposition,[status(thm),theory(equality)],[c_546,c_159]) ).
tff(c_623,plain,
( greater(zero,growth_rate(first_movers,sk2(sk3)))
| ~ subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))
| contracts_from(sk2(sk3),first_movers)
| ~ in_environment(sk3,sk2(sk3)) ),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_30,c_28,c_30,c_546,c_574]) ).
tff(c_624,plain,
( greater(zero,growth_rate(first_movers,sk2(sk3)))
| ~ subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))
| ~ in_environment(sk3,sk2(sk3)) ),
inference(negUnitSimplification,[status(thm)],[c_58,c_623]) ).
tff(c_704,plain,
( greater(zero,growth_rate(first_movers,sk2(sk3)))
| ~ subpopulations(first_movers,efficient_producers,sk3,sk2(sk3)) ),
inference(demodulation,[status(thm),theory(equality)],[c_667,c_624]) ).
tff(c_705,plain,
~ subpopulations(first_movers,efficient_producers,sk3,sk2(sk3)),
inference(negUnitSimplification,[status(thm)],[c_666,c_704]) ).
tff(c_736,plain,
( ~ in_environment(sk3,sk2(sk3))
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[c_733,c_705]) ).
tff(c_743,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_667,c_736]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : MGT027-1 : TPTP v8.1.2. Released v2.4.0.
% 0.15/0.16 % 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
% 0.17/0.36 % Computer : n003.cluster.edu
% 0.17/0.36 % Model : x86_64 x86_64
% 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36 % Memory : 8042.1875MB
% 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36 % CPULimit : 300
% 0.17/0.36 % WCLimit : 300
% 0.17/0.36 % DateTime : Thu Aug 3 20:34:53 EDT 2023
% 0.17/0.36 % CPUTime :
% 4.15/2.33 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.57/2.34
% 4.57/2.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.57/2.38
% 4.57/2.38 Inference rules
% 4.57/2.38 ----------------------
% 4.57/2.38 #Ref : 0
% 4.57/2.38 #Sup : 155
% 4.57/2.38 #Fact : 0
% 4.57/2.38 #Define : 0
% 4.57/2.38 #Split : 6
% 4.57/2.38 #Chain : 0
% 4.57/2.38 #Close : 0
% 4.57/2.38
% 4.57/2.38 Ordering : KBO
% 4.57/2.38
% 4.57/2.38 Simplification rules
% 4.57/2.38 ----------------------
% 4.57/2.38 #Subsume : 54
% 4.57/2.38 #Demod : 78
% 4.57/2.38 #Tautology : 12
% 4.57/2.38 #SimpNegUnit : 18
% 4.57/2.38 #BackRed : 0
% 4.57/2.38
% 4.57/2.38 #Partial instantiations: 0
% 4.57/2.38 #Strategies tried : 1
% 4.57/2.38
% 4.57/2.38 Timing (in seconds)
% 4.57/2.38 ----------------------
% 4.57/2.38 Preprocessing : 0.49
% 4.57/2.38 Parsing : 0.26
% 4.57/2.38 CNF conversion : 0.02
% 4.57/2.38 Main loop : 0.60
% 4.57/2.38 Inferencing : 0.25
% 4.57/2.38 Reduction : 0.14
% 4.57/2.38 Demodulation : 0.09
% 4.57/2.38 BG Simplification : 0.02
% 4.57/2.39 Subsumption : 0.15
% 4.57/2.39 Abstraction : 0.02
% 4.57/2.39 MUC search : 0.00
% 4.57/2.39 Cooper : 0.00
% 4.57/2.39 Total : 1.15
% 4.57/2.39 Index Insertion : 0.00
% 4.57/2.39 Index Deletion : 0.00
% 4.57/2.39 Index Matching : 0.00
% 4.57/2.39 BG Taut test : 0.00
%------------------------------------------------------------------------------