TSTP Solution File: MGT026-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : MGT026-1 : 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 : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:49:36 EDT 2023
% Result : Unsatisfiable 4.17s 2.17s
% Output : CNFRefutation 4.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 32
% Syntax : Number of formulae : 105 ( 26 unt; 16 typ; 0 def)
% Number of atoms : 250 ( 26 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 321 ( 160 ~; 161 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 11 >; 13 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 99 (; 99 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subpopulations > subpopulation > selection_favors > in_environment > greater_or_equal > greater > environment > growth_rate > cardinality_at_time > appear > #nlpp > critical_point > zero > sk2 > sk1 > 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(in_environment,type,
in_environment: ( $i * $i ) > $o ).
tff(sk2,type,
sk2: $i ).
tff(sk1,type,
sk1: $i ).
tff(appear,type,
appear: ( $i * $i ) > $i ).
tff(efficient_producers,type,
efficient_producers: $i ).
tff(cardinality_at_time,type,
cardinality_at_time: ( $i * $i ) > $i ).
tff(critical_point,type,
critical_point: $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(greater_or_equal,type,
greater_or_equal: ( $i * $i ) > $o ).
tff(subpopulation,type,
subpopulation: ( $i * $i * $i ) > $o ).
tff(selection_favors,type,
selection_favors: ( $i * $i * $i ) > $o ).
tff(zero,type,
zero: $i ).
tff(f_154,axiom,
environment(sk1),
file(unknown,unknown) ).
tff(f_155,axiom,
in_environment(sk1,sk2),
file(unknown,unknown) ).
tff(f_89,axiom,
! [A,B] :
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulation(efficient_producers,A,B) ),
file(unknown,unknown) ).
tff(f_158,axiom,
~ selection_favors(efficient_producers,first_movers,sk2),
file(unknown,unknown) ).
tff(f_156,axiom,
greater(sk2,critical_point(sk1)),
file(unknown,unknown) ).
tff(f_73,axiom,
! [A,B] :
( ~ environment(A)
| ~ in_environment(A,B)
| greater_or_equal(cardinality_at_time(first_movers,B),zero) ),
file(unknown,unknown) ).
tff(f_109,axiom,
! [A,B] :
( ~ greater_or_equal(A,B)
| greater(A,B)
| ( A = B ) ),
file(unknown,unknown) ).
tff(f_65,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_94,axiom,
! [A] :
( ~ environment(A)
| greater_or_equal(critical_point(A),appear(efficient_producers,A)) ),
file(unknown,unknown) ).
tff(f_102,axiom,
! [A,B,C] :
( ~ greater(A,B)
| ~ greater(B,C)
| greater(A,C) ),
file(unknown,unknown) ).
tff(f_114,axiom,
! [A,B] :
( ~ greater(A,B)
| greater_or_equal(A,B) ),
file(unknown,unknown) ).
tff(f_153,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_142,axiom,
! [A,B,C] :
( ~ environment(A)
| ( B != critical_point(A) )
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(C,B)
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ),
file(unknown,unknown) ).
tff(f_34,axiom,
! [A,B,C,D] :
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater(growth_rate(C,D),growth_rate(B,D))
| selection_favors(C,B,D) ),
file(unknown,unknown) ).
tff(f_81,axiom,
! [A,B] :
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulation(first_movers,A,B) ),
file(unknown,unknown) ).
tff(f_51,axiom,
! [A,B,C,D] :
( ~ environment(A)
| ~ subpopulation(B,A,C)
| ~ subpopulation(D,A,C)
| ~ greater(cardinality_at_time(B,C),zero)
| ( cardinality_at_time(D,C) != zero )
| selection_favors(B,D,C) ),
file(unknown,unknown) ).
tff(c_30,plain,
environment(sk1),
inference(cnfTransformation,[status(thm)],[f_154]) ).
tff(c_32,plain,
in_environment(sk1,sk2),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_12,plain,
! [A_15,B_16] :
( subpopulation(efficient_producers,A_15,B_16)
| ~ in_environment(A_15,B_16)
| ~ environment(A_15) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_36,plain,
~ selection_favors(efficient_producers,first_movers,sk2),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_34,plain,
greater(sk2,critical_point(sk1)),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_64,plain,
! [B_48,A_49] :
( greater_or_equal(cardinality_at_time(first_movers,B_48),zero)
| ~ in_environment(A_49,B_48)
| ~ environment(A_49) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_66,plain,
( greater_or_equal(cardinality_at_time(first_movers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_32,c_64]) ).
tff(c_69,plain,
greater_or_equal(cardinality_at_time(first_movers,sk2),zero),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_66]) ).
tff(c_18,plain,
! [B_22,A_21] :
( ( B_22 = A_21 )
| greater(A_21,B_22)
| ~ greater_or_equal(A_21,B_22) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_73,plain,
( ( cardinality_at_time(first_movers,sk2) = zero )
| greater(cardinality_at_time(first_movers,sk2),zero) ),
inference(resolution,[status(thm)],[c_69,c_18]) ).
tff(c_74,plain,
greater(cardinality_at_time(first_movers,sk2),zero),
inference(splitLeft,[status(thm)],[c_73]) ).
tff(c_185,plain,
! [A_74,B_75] :
( subpopulations(first_movers,efficient_producers,A_74,B_75)
| ~ greater(cardinality_at_time(efficient_producers,B_75),zero)
| ~ greater(cardinality_at_time(first_movers,B_75),zero)
| ~ in_environment(A_74,B_75)
| ~ environment(A_74) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_188,plain,
! [A_74] :
( subpopulations(first_movers,efficient_producers,A_74,sk2)
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ in_environment(A_74,sk2)
| ~ environment(A_74) ),
inference(resolution,[status(thm)],[c_74,c_185]) ).
tff(c_189,plain,
~ greater(cardinality_at_time(efficient_producers,sk2),zero),
inference(splitLeft,[status(thm)],[c_188]) ).
tff(c_14,plain,
! [A_17] :
( greater_or_equal(critical_point(A_17),appear(efficient_producers,A_17))
| ~ environment(A_17) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_40,plain,
! [B_38,A_39] :
( ( B_38 = A_39 )
| greater(A_39,B_38)
| ~ greater_or_equal(A_39,B_38) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_108,plain,
! [A_57] :
( ( appear(efficient_producers,A_57) = critical_point(A_57) )
| greater(critical_point(A_57),appear(efficient_producers,A_57))
| ~ environment(A_57) ),
inference(resolution,[status(thm)],[c_14,c_40]) ).
tff(c_16,plain,
! [A_18,C_20,B_19] :
( greater(A_18,C_20)
| ~ greater(B_19,C_20)
| ~ greater(A_18,B_19) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_148,plain,
! [A_69,A_70] :
( greater(A_69,appear(efficient_producers,A_70))
| ~ greater(A_69,critical_point(A_70))
| ( appear(efficient_producers,A_70) = critical_point(A_70) )
| ~ environment(A_70) ),
inference(resolution,[status(thm)],[c_108,c_16]) ).
tff(c_20,plain,
! [A_23,B_24] :
( greater_or_equal(A_23,B_24)
| ~ greater(A_23,B_24) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_91,plain,
! [B_54,A_55] :
( greater(cardinality_at_time(efficient_producers,B_54),zero)
| ~ greater_or_equal(B_54,appear(efficient_producers,A_55))
| ~ in_environment(A_55,B_54)
| ~ environment(A_55) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_104,plain,
! [A_23,A_55] :
( greater(cardinality_at_time(efficient_producers,A_23),zero)
| ~ in_environment(A_55,A_23)
| ~ environment(A_55)
| ~ greater(A_23,appear(efficient_producers,A_55)) ),
inference(resolution,[status(thm)],[c_20,c_91]) ).
tff(c_297,plain,
! [A_92,A_93] :
( greater(cardinality_at_time(efficient_producers,A_92),zero)
| ~ in_environment(A_93,A_92)
| ~ greater(A_92,critical_point(A_93))
| ( appear(efficient_producers,A_93) = critical_point(A_93) )
| ~ environment(A_93) ),
inference(resolution,[status(thm)],[c_148,c_104]) ).
tff(c_305,plain,
( greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ in_environment(sk1,sk2)
| ( appear(efficient_producers,sk1) = critical_point(sk1) )
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_34,c_297]) ).
tff(c_317,plain,
( greater(cardinality_at_time(efficient_producers,sk2),zero)
| ( appear(efficient_producers,sk1) = critical_point(sk1) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_32,c_305]) ).
tff(c_318,plain,
appear(efficient_producers,sk1) = critical_point(sk1),
inference(negUnitSimplification,[status(thm)],[c_189,c_317]) ).
tff(c_328,plain,
! [A_23] :
( greater(cardinality_at_time(efficient_producers,A_23),zero)
| ~ in_environment(sk1,A_23)
| ~ environment(sk1)
| ~ greater(A_23,critical_point(sk1)) ),
inference(superposition,[status(thm),theory(equality)],[c_318,c_104]) ).
tff(c_400,plain,
! [A_98] :
( greater(cardinality_at_time(efficient_producers,A_98),zero)
| ~ in_environment(sk1,A_98)
| ~ greater(A_98,critical_point(sk1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_328]) ).
tff(c_409,plain,
( ~ in_environment(sk1,sk2)
| ~ greater(sk2,critical_point(sk1)) ),
inference(resolution,[status(thm)],[c_400,c_189]) ).
tff(c_420,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_32,c_409]) ).
tff(c_430,plain,
! [A_100] :
( subpopulations(first_movers,efficient_producers,A_100,sk2)
| ~ in_environment(A_100,sk2)
| ~ environment(A_100) ),
inference(splitRight,[status(thm)],[c_188]) ).
tff(c_116,plain,
! [C_59,A_60] :
( greater(growth_rate(efficient_producers,C_59),growth_rate(first_movers,C_59))
| ~ greater(C_59,critical_point(A_60))
| ~ subpopulations(first_movers,efficient_producers,A_60,C_59)
| ~ environment(A_60) ),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_120,plain,
( greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2))
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_34,c_116]) ).
tff(c_126,plain,
( greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2))
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_120]) ).
tff(c_127,plain,
~ subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(splitLeft,[status(thm)],[c_126]) ).
tff(c_433,plain,
( ~ in_environment(sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_430,c_127]) ).
tff(c_437,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30,c_32,c_433]) ).
tff(c_439,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(splitRight,[status(thm)],[c_126]) ).
tff(c_438,plain,
greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2)),
inference(splitRight,[status(thm)],[c_126]) ).
tff(c_2,plain,
! [C_3,B_2,D_4,A_1] :
( selection_favors(C_3,B_2,D_4)
| ~ greater(growth_rate(C_3,D_4),growth_rate(B_2,D_4))
| ~ subpopulations(B_2,C_3,A_1,D_4)
| ~ environment(A_1) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_442,plain,
! [A_1] :
( selection_favors(efficient_producers,first_movers,sk2)
| ~ subpopulations(first_movers,efficient_producers,A_1,sk2)
| ~ environment(A_1) ),
inference(resolution,[status(thm)],[c_438,c_2]) ).
tff(c_452,plain,
! [A_105] :
( ~ subpopulations(first_movers,efficient_producers,A_105,sk2)
| ~ environment(A_105) ),
inference(negUnitSimplification,[status(thm)],[c_36,c_442]) ).
tff(c_455,plain,
~ environment(sk1),
inference(resolution,[status(thm)],[c_439,c_452]) ).
tff(c_459,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30,c_455]) ).
tff(c_460,plain,
cardinality_at_time(first_movers,sk2) = zero,
inference(splitRight,[status(thm)],[c_73]) ).
tff(c_10,plain,
! [A_13,B_14] :
( subpopulation(first_movers,A_13,B_14)
| ~ in_environment(A_13,B_14)
| ~ environment(A_13) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_478,plain,
! [A_109] :
( ( appear(efficient_producers,A_109) = critical_point(A_109) )
| greater(critical_point(A_109),appear(efficient_producers,A_109))
| ~ environment(A_109) ),
inference(resolution,[status(thm)],[c_14,c_40]) ).
tff(c_534,plain,
! [A_124,A_125] :
( greater(A_124,appear(efficient_producers,A_125))
| ~ greater(A_124,critical_point(A_125))
| ( appear(efficient_producers,A_125) = critical_point(A_125) )
| ~ environment(A_125) ),
inference(resolution,[status(thm)],[c_478,c_16]) ).
tff(c_485,plain,
! [B_110,A_111] :
( greater(cardinality_at_time(efficient_producers,B_110),zero)
| ~ greater_or_equal(B_110,appear(efficient_producers,A_111))
| ~ in_environment(A_111,B_110)
| ~ environment(A_111) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_498,plain,
! [A_23,A_111] :
( greater(cardinality_at_time(efficient_producers,A_23),zero)
| ~ in_environment(A_111,A_23)
| ~ environment(A_111)
| ~ greater(A_23,appear(efficient_producers,A_111)) ),
inference(resolution,[status(thm)],[c_20,c_485]) ).
tff(c_631,plain,
! [A_142,A_143] :
( greater(cardinality_at_time(efficient_producers,A_142),zero)
| ~ in_environment(A_143,A_142)
| ~ greater(A_142,critical_point(A_143))
| ( appear(efficient_producers,A_143) = critical_point(A_143) )
| ~ environment(A_143) ),
inference(resolution,[status(thm)],[c_534,c_498]) ).
tff(c_639,plain,
( greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ in_environment(sk1,sk2)
| ( appear(efficient_producers,sk1) = critical_point(sk1) )
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_34,c_631]) ).
tff(c_651,plain,
( greater(cardinality_at_time(efficient_producers,sk2),zero)
| ( appear(efficient_producers,sk1) = critical_point(sk1) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_32,c_639]) ).
tff(c_652,plain,
appear(efficient_producers,sk1) = critical_point(sk1),
inference(splitLeft,[status(thm)],[c_651]) ).
tff(c_658,plain,
! [A_23] :
( greater(cardinality_at_time(efficient_producers,A_23),zero)
| ~ in_environment(sk1,A_23)
| ~ environment(sk1)
| ~ greater(A_23,critical_point(sk1)) ),
inference(superposition,[status(thm),theory(equality)],[c_652,c_498]) ).
tff(c_707,plain,
! [A_146] :
( greater(cardinality_at_time(efficient_producers,A_146),zero)
| ~ in_environment(sk1,A_146)
| ~ greater(A_146,critical_point(sk1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_658]) ).
tff(c_4,plain,
! [B_6,D_8,C_7,A_5] :
( selection_favors(B_6,D_8,C_7)
| ( cardinality_at_time(D_8,C_7) != zero )
| ~ greater(cardinality_at_time(B_6,C_7),zero)
| ~ subpopulation(D_8,A_5,C_7)
| ~ subpopulation(B_6,A_5,C_7)
| ~ environment(A_5) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_792,plain,
! [D_162,A_163,A_164] :
( selection_favors(efficient_producers,D_162,A_163)
| ( cardinality_at_time(D_162,A_163) != zero )
| ~ subpopulation(D_162,A_164,A_163)
| ~ subpopulation(efficient_producers,A_164,A_163)
| ~ environment(A_164)
| ~ in_environment(sk1,A_163)
| ~ greater(A_163,critical_point(sk1)) ),
inference(resolution,[status(thm)],[c_707,c_4]) ).
tff(c_818,plain,
! [B_169,A_170] :
( selection_favors(efficient_producers,first_movers,B_169)
| ( cardinality_at_time(first_movers,B_169) != zero )
| ~ subpopulation(efficient_producers,A_170,B_169)
| ~ in_environment(sk1,B_169)
| ~ greater(B_169,critical_point(sk1))
| ~ in_environment(A_170,B_169)
| ~ environment(A_170) ),
inference(resolution,[status(thm)],[c_10,c_792]) ).
tff(c_829,plain,
! [B_173,A_174] :
( selection_favors(efficient_producers,first_movers,B_173)
| ( cardinality_at_time(first_movers,B_173) != zero )
| ~ in_environment(sk1,B_173)
| ~ greater(B_173,critical_point(sk1))
| ~ in_environment(A_174,B_173)
| ~ environment(A_174) ),
inference(resolution,[status(thm)],[c_12,c_818]) ).
tff(c_837,plain,
! [A_174] :
( selection_favors(efficient_producers,first_movers,sk2)
| ( cardinality_at_time(first_movers,sk2) != zero )
| ~ in_environment(sk1,sk2)
| ~ in_environment(A_174,sk2)
| ~ environment(A_174) ),
inference(resolution,[status(thm)],[c_34,c_829]) ).
tff(c_843,plain,
! [A_174] :
( selection_favors(efficient_producers,first_movers,sk2)
| ~ in_environment(A_174,sk2)
| ~ environment(A_174) ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_460,c_837]) ).
tff(c_845,plain,
! [A_175] :
( ~ in_environment(A_175,sk2)
| ~ environment(A_175) ),
inference(negUnitSimplification,[status(thm)],[c_36,c_843]) ).
tff(c_848,plain,
~ environment(sk1),
inference(resolution,[status(thm)],[c_32,c_845]) ).
tff(c_852,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30,c_848]) ).
tff(c_853,plain,
greater(cardinality_at_time(efficient_producers,sk2),zero),
inference(splitRight,[status(thm)],[c_651]) ).
tff(c_869,plain,
! [D_179,A_180] :
( selection_favors(efficient_producers,D_179,sk2)
| ( cardinality_at_time(D_179,sk2) != zero )
| ~ subpopulation(D_179,A_180,sk2)
| ~ subpopulation(efficient_producers,A_180,sk2)
| ~ environment(A_180) ),
inference(resolution,[status(thm)],[c_853,c_4]) ).
tff(c_875,plain,
! [A_13] :
( selection_favors(efficient_producers,first_movers,sk2)
| ( cardinality_at_time(first_movers,sk2) != zero )
| ~ subpopulation(efficient_producers,A_13,sk2)
| ~ in_environment(A_13,sk2)
| ~ environment(A_13) ),
inference(resolution,[status(thm)],[c_10,c_869]) ).
tff(c_879,plain,
! [A_13] :
( selection_favors(efficient_producers,first_movers,sk2)
| ~ subpopulation(efficient_producers,A_13,sk2)
| ~ in_environment(A_13,sk2)
| ~ environment(A_13) ),
inference(demodulation,[status(thm),theory(equality)],[c_460,c_875]) ).
tff(c_882,plain,
! [A_181] :
( ~ subpopulation(efficient_producers,A_181,sk2)
| ~ in_environment(A_181,sk2)
| ~ environment(A_181) ),
inference(negUnitSimplification,[status(thm)],[c_36,c_879]) ).
tff(c_888,plain,
! [A_182] :
( ~ in_environment(A_182,sk2)
| ~ environment(A_182) ),
inference(resolution,[status(thm)],[c_12,c_882]) ).
tff(c_891,plain,
~ environment(sk1),
inference(resolution,[status(thm)],[c_32,c_888]) ).
tff(c_895,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30,c_891]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT026-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % 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
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 20:48:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 4.17/2.17 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.17/2.18
% 4.17/2.18 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.17/2.22
% 4.17/2.22 Inference rules
% 4.17/2.22 ----------------------
% 4.17/2.22 #Ref : 0
% 4.17/2.22 #Sup : 195
% 4.17/2.22 #Fact : 0
% 4.17/2.22 #Define : 0
% 4.17/2.22 #Split : 16
% 4.17/2.22 #Chain : 0
% 4.17/2.22 #Close : 0
% 4.17/2.22
% 4.17/2.22 Ordering : KBO
% 4.17/2.22
% 4.17/2.22 Simplification rules
% 4.17/2.22 ----------------------
% 4.17/2.22 #Subsume : 36
% 4.17/2.22 #Demod : 99
% 4.17/2.22 #Tautology : 20
% 4.17/2.22 #SimpNegUnit : 4
% 4.17/2.22 #BackRed : 2
% 4.17/2.22
% 4.17/2.22 #Partial instantiations: 0
% 4.17/2.22 #Strategies tried : 1
% 4.17/2.22
% 4.17/2.22 Timing (in seconds)
% 4.17/2.22 ----------------------
% 4.17/2.23 Preprocessing : 0.49
% 4.17/2.23 Parsing : 0.26
% 4.17/2.23 CNF conversion : 0.03
% 4.17/2.23 Main loop : 0.58
% 4.17/2.23 Inferencing : 0.23
% 4.17/2.23 Reduction : 0.15
% 4.17/2.23 Demodulation : 0.10
% 4.17/2.23 BG Simplification : 0.03
% 4.17/2.23 Subsumption : 0.13
% 4.17/2.23 Abstraction : 0.02
% 4.17/2.23 MUC search : 0.00
% 4.17/2.23 Cooper : 0.00
% 4.17/2.23 Total : 1.14
% 4.17/2.23 Index Insertion : 0.00
% 4.17/2.23 Index Deletion : 0.00
% 4.17/2.23 Index Matching : 0.00
% 4.17/2.23 BG Taut test : 0.00
%------------------------------------------------------------------------------