TSTP Solution File: MGT028+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : MGT028+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n008.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 : Theorem 3.64s 1.91s
% Output : CNFRefutation 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 19
% Syntax : Number of formulae : 85 ( 21 unt; 16 typ; 0 def)
% Number of atoms : 229 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 296 ( 136 ~; 140 |; 13 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 12 >; 9 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 59 (; 55 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subpopulations > in_environment > greater_or_equal > greater > stable > environment > growth_rate > appear > #nlpp > zero > first_movers > efficient_producers > #skF_5 > #skF_2 > #skF_4 > #skF_3 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(subpopulations,type,
subpopulations: ( $i * $i * $i * $i ) > $o ).
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff('#skF_2',type,
'#skF_2': $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(growth_rate,type,
growth_rate: ( $i * $i ) > $i ).
tff(environment,type,
environment: $i > $o ).
tff(first_movers,type,
first_movers: $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(greater_or_equal,type,
greater_or_equal: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(zero,type,
zero: $i ).
tff(stable,type,
stable: $i > $o ).
tff(f_92,negated_conjecture,
~ ! [E] :
( ( environment(E)
& stable(E) )
=> ? [To] :
( greater(To,appear(efficient_producers,E))
& ! [T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,To) )
=> greater(zero,growth_rate(first_movers,T)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l10) ).
tff(f_55,axiom,
! [E] :
( ( environment(E)
& stable(E)
& ? [T1] :
( in_environment(E,T1)
& ! [T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,T1) )
=> greater(zero,growth_rate(first_movers,T)) ) ) )
=> ? [T2] :
( greater(T2,appear(efficient_producers,E))
& ! [T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,T2) )
=> greater(zero,growth_rate(first_movers,T)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_first_movers_negative_growth) ).
tff(f_74,hypothesis,
! [E] :
( ( environment(E)
& stable(E) )
=> ? [To] :
( in_environment(E,To)
& ! [T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,To) )
=> ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,T)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l11) ).
tff(c_22,plain,
environment('#skF_4'),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_20,plain,
stable('#skF_4'),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_28,plain,
! [To_21] :
( subpopulations(first_movers,efficient_producers,'#skF_4','#skF_5'(To_21))
| ~ greater(To_21,appear(efficient_producers,'#skF_4')) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_26,plain,
! [To_21] :
( greater_or_equal('#skF_5'(To_21),To_21)
| ~ greater(To_21,appear(efficient_producers,'#skF_4')) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_73,plain,
! [E_39,T1_40,T_41] :
( greater_or_equal('#skF_1'(E_39,T1_40),T1_40)
| greater(zero,growth_rate(first_movers,T_41))
| ~ greater_or_equal(T_41,'#skF_2'(E_39))
| ~ subpopulations(first_movers,efficient_producers,E_39,T_41)
| ~ in_environment(E_39,T1_40)
| ~ stable(E_39)
| ~ environment(E_39) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_92,plain,
! [E_48,T1_49] :
( greater_or_equal('#skF_1'(E_48,T1_49),T1_49)
| greater(zero,growth_rate(first_movers,'#skF_5'('#skF_2'(E_48))))
| ~ subpopulations(first_movers,efficient_producers,E_48,'#skF_5'('#skF_2'(E_48)))
| ~ in_environment(E_48,T1_49)
| ~ stable(E_48)
| ~ environment(E_48)
| ~ greater('#skF_2'(E_48),appear(efficient_producers,'#skF_4')) ),
inference(resolution,[status(thm)],[c_26,c_73]) ).
tff(c_95,plain,
! [T1_49] :
( greater_or_equal('#skF_1'('#skF_4',T1_49),T1_49)
| greater(zero,growth_rate(first_movers,'#skF_5'('#skF_2'('#skF_4'))))
| ~ in_environment('#skF_4',T1_49)
| ~ stable('#skF_4')
| ~ environment('#skF_4')
| ~ greater('#skF_2'('#skF_4'),appear(efficient_producers,'#skF_4')) ),
inference(resolution,[status(thm)],[c_28,c_92]) ).
tff(c_98,plain,
! [T1_49] :
( greater_or_equal('#skF_1'('#skF_4',T1_49),T1_49)
| greater(zero,growth_rate(first_movers,'#skF_5'('#skF_2'('#skF_4'))))
| ~ in_environment('#skF_4',T1_49)
| ~ greater('#skF_2'('#skF_4'),appear(efficient_producers,'#skF_4')) ),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_20,c_95]) ).
tff(c_106,plain,
~ greater('#skF_2'('#skF_4'),appear(efficient_producers,'#skF_4')),
inference(splitLeft,[status(thm)],[c_98]) ).
tff(c_14,plain,
! [E_12] :
( in_environment(E_12,'#skF_3'(E_12))
| ~ stable(E_12)
| ~ environment(E_12) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_12,plain,
! [E_1,T1_8] :
( subpopulations(first_movers,efficient_producers,E_1,'#skF_1'(E_1,T1_8))
| greater('#skF_2'(E_1),appear(efficient_producers,E_1))
| ~ in_environment(E_1,T1_8)
| ~ stable(E_1)
| ~ environment(E_1) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_109,plain,
! [T1_8] :
( subpopulations(first_movers,efficient_producers,'#skF_4','#skF_1'('#skF_4',T1_8))
| ~ in_environment('#skF_4',T1_8)
| ~ stable('#skF_4')
| ~ environment('#skF_4') ),
inference(resolution,[status(thm)],[c_12,c_106]) ).
tff(c_115,plain,
! [T1_8] :
( subpopulations(first_movers,efficient_producers,'#skF_4','#skF_1'('#skF_4',T1_8))
| ~ in_environment('#skF_4',T1_8) ),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_20,c_109]) ).
tff(c_10,plain,
! [E_1,T1_8] :
( greater_or_equal('#skF_1'(E_1,T1_8),T1_8)
| greater('#skF_2'(E_1),appear(efficient_producers,E_1))
| ~ in_environment(E_1,T1_8)
| ~ stable(E_1)
| ~ environment(E_1) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_45,plain,
! [T_31,E_32] :
( greater(growth_rate(efficient_producers,T_31),zero)
| ~ greater_or_equal(T_31,'#skF_3'(E_32))
| ~ subpopulations(first_movers,efficient_producers,E_32,T_31)
| ~ stable(E_32)
| ~ environment(E_32) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_139,plain,
! [E_54,E_55] :
( greater(growth_rate(efficient_producers,'#skF_1'(E_54,'#skF_3'(E_55))),zero)
| ~ subpopulations(first_movers,efficient_producers,E_55,'#skF_1'(E_54,'#skF_3'(E_55)))
| ~ stable(E_55)
| ~ environment(E_55)
| greater('#skF_2'(E_54),appear(efficient_producers,E_54))
| ~ in_environment(E_54,'#skF_3'(E_55))
| ~ stable(E_54)
| ~ environment(E_54) ),
inference(resolution,[status(thm)],[c_10,c_45]) ).
tff(c_142,plain,
( greater(growth_rate(efficient_producers,'#skF_1'('#skF_4','#skF_3'('#skF_4'))),zero)
| greater('#skF_2'('#skF_4'),appear(efficient_producers,'#skF_4'))
| ~ stable('#skF_4')
| ~ environment('#skF_4')
| ~ in_environment('#skF_4','#skF_3'('#skF_4')) ),
inference(resolution,[status(thm)],[c_115,c_139]) ).
tff(c_148,plain,
( greater(growth_rate(efficient_producers,'#skF_1'('#skF_4','#skF_3'('#skF_4'))),zero)
| greater('#skF_2'('#skF_4'),appear(efficient_producers,'#skF_4'))
| ~ in_environment('#skF_4','#skF_3'('#skF_4')) ),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_20,c_142]) ).
tff(c_149,plain,
( greater(growth_rate(efficient_producers,'#skF_1'('#skF_4','#skF_3'('#skF_4'))),zero)
| ~ in_environment('#skF_4','#skF_3'('#skF_4')) ),
inference(negUnitSimplification,[status(thm)],[c_106,c_148]) ).
tff(c_151,plain,
~ in_environment('#skF_4','#skF_3'('#skF_4')),
inference(splitLeft,[status(thm)],[c_149]) ).
tff(c_154,plain,
( ~ stable('#skF_4')
| ~ environment('#skF_4') ),
inference(resolution,[status(thm)],[c_14,c_151]) ).
tff(c_158,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_20,c_154]) ).
tff(c_160,plain,
in_environment('#skF_4','#skF_3'('#skF_4')),
inference(splitRight,[status(thm)],[c_149]) ).
tff(c_112,plain,
! [T1_8] :
( greater_or_equal('#skF_1'('#skF_4',T1_8),T1_8)
| ~ in_environment('#skF_4',T1_8)
| ~ stable('#skF_4')
| ~ environment('#skF_4') ),
inference(resolution,[status(thm)],[c_10,c_106]) ).
tff(c_119,plain,
! [T1_52] :
( greater_or_equal('#skF_1'('#skF_4',T1_52),T1_52)
| ~ in_environment('#skF_4',T1_52) ),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_20,c_112]) ).
tff(c_16,plain,
! [T_17,E_12] :
( greater(zero,growth_rate(first_movers,T_17))
| ~ greater_or_equal(T_17,'#skF_3'(E_12))
| ~ subpopulations(first_movers,efficient_producers,E_12,T_17)
| ~ stable(E_12)
| ~ environment(E_12) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_162,plain,
! [E_57] :
( greater(zero,growth_rate(first_movers,'#skF_1'('#skF_4','#skF_3'(E_57))))
| ~ subpopulations(first_movers,efficient_producers,E_57,'#skF_1'('#skF_4','#skF_3'(E_57)))
| ~ stable(E_57)
| ~ environment(E_57)
| ~ in_environment('#skF_4','#skF_3'(E_57)) ),
inference(resolution,[status(thm)],[c_119,c_16]) ).
tff(c_165,plain,
( greater(zero,growth_rate(first_movers,'#skF_1'('#skF_4','#skF_3'('#skF_4'))))
| ~ stable('#skF_4')
| ~ environment('#skF_4')
| ~ in_environment('#skF_4','#skF_3'('#skF_4')) ),
inference(resolution,[status(thm)],[c_115,c_162]) ).
tff(c_171,plain,
greater(zero,growth_rate(first_movers,'#skF_1'('#skF_4','#skF_3'('#skF_4')))),
inference(demodulation,[status(thm),theory(equality)],[c_160,c_22,c_20,c_165]) ).
tff(c_8,plain,
! [E_1,T1_8] :
( ~ greater(zero,growth_rate(first_movers,'#skF_1'(E_1,T1_8)))
| greater('#skF_2'(E_1),appear(efficient_producers,E_1))
| ~ in_environment(E_1,T1_8)
| ~ stable(E_1)
| ~ environment(E_1) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_179,plain,
( greater('#skF_2'('#skF_4'),appear(efficient_producers,'#skF_4'))
| ~ in_environment('#skF_4','#skF_3'('#skF_4'))
| ~ stable('#skF_4')
| ~ environment('#skF_4') ),
inference(resolution,[status(thm)],[c_171,c_8]) ).
tff(c_185,plain,
greater('#skF_2'('#skF_4'),appear(efficient_producers,'#skF_4')),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_20,c_160,c_179]) ).
tff(c_187,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_185]) ).
tff(c_189,plain,
greater('#skF_2'('#skF_4'),appear(efficient_producers,'#skF_4')),
inference(splitRight,[status(thm)],[c_98]) ).
tff(c_188,plain,
! [T1_49] :
( greater(zero,growth_rate(first_movers,'#skF_5'('#skF_2'('#skF_4'))))
| greater_or_equal('#skF_1'('#skF_4',T1_49),T1_49)
| ~ in_environment('#skF_4',T1_49) ),
inference(splitRight,[status(thm)],[c_98]) ).
tff(c_190,plain,
greater(zero,growth_rate(first_movers,'#skF_5'('#skF_2'('#skF_4')))),
inference(splitLeft,[status(thm)],[c_188]) ).
tff(c_24,plain,
! [To_21] :
( ~ greater(zero,growth_rate(first_movers,'#skF_5'(To_21)))
| ~ greater(To_21,appear(efficient_producers,'#skF_4')) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_198,plain,
~ greater('#skF_2'('#skF_4'),appear(efficient_producers,'#skF_4')),
inference(resolution,[status(thm)],[c_190,c_24]) ).
tff(c_202,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_189,c_198]) ).
tff(c_204,plain,
~ greater(zero,growth_rate(first_movers,'#skF_5'('#skF_2'('#skF_4')))),
inference(splitRight,[status(thm)],[c_188]) ).
tff(c_83,plain,
! [E_45,T1_46,T_47] :
( subpopulations(first_movers,efficient_producers,E_45,'#skF_1'(E_45,T1_46))
| greater(zero,growth_rate(first_movers,T_47))
| ~ greater_or_equal(T_47,'#skF_2'(E_45))
| ~ subpopulations(first_movers,efficient_producers,E_45,T_47)
| ~ in_environment(E_45,T1_46)
| ~ stable(E_45)
| ~ environment(E_45) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_99,plain,
! [E_50,T1_51] :
( subpopulations(first_movers,efficient_producers,E_50,'#skF_1'(E_50,T1_51))
| greater(zero,growth_rate(first_movers,'#skF_5'('#skF_2'(E_50))))
| ~ subpopulations(first_movers,efficient_producers,E_50,'#skF_5'('#skF_2'(E_50)))
| ~ in_environment(E_50,T1_51)
| ~ stable(E_50)
| ~ environment(E_50)
| ~ greater('#skF_2'(E_50),appear(efficient_producers,'#skF_4')) ),
inference(resolution,[status(thm)],[c_26,c_83]) ).
tff(c_102,plain,
! [T1_51] :
( subpopulations(first_movers,efficient_producers,'#skF_4','#skF_1'('#skF_4',T1_51))
| greater(zero,growth_rate(first_movers,'#skF_5'('#skF_2'('#skF_4'))))
| ~ in_environment('#skF_4',T1_51)
| ~ stable('#skF_4')
| ~ environment('#skF_4')
| ~ greater('#skF_2'('#skF_4'),appear(efficient_producers,'#skF_4')) ),
inference(resolution,[status(thm)],[c_28,c_99]) ).
tff(c_105,plain,
! [T1_51] :
( subpopulations(first_movers,efficient_producers,'#skF_4','#skF_1'('#skF_4',T1_51))
| greater(zero,growth_rate(first_movers,'#skF_5'('#skF_2'('#skF_4'))))
| ~ in_environment('#skF_4',T1_51)
| ~ greater('#skF_2'('#skF_4'),appear(efficient_producers,'#skF_4')) ),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_20,c_102]) ).
tff(c_225,plain,
! [T1_51] :
( subpopulations(first_movers,efficient_producers,'#skF_4','#skF_1'('#skF_4',T1_51))
| greater(zero,growth_rate(first_movers,'#skF_5'('#skF_2'('#skF_4'))))
| ~ in_environment('#skF_4',T1_51) ),
inference(demodulation,[status(thm),theory(equality)],[c_189,c_105]) ).
tff(c_226,plain,
! [T1_51] :
( subpopulations(first_movers,efficient_producers,'#skF_4','#skF_1'('#skF_4',T1_51))
| ~ in_environment('#skF_4',T1_51) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_225]) ).
tff(c_205,plain,
! [T1_60] :
( greater_or_equal('#skF_1'('#skF_4',T1_60),T1_60)
| ~ in_environment('#skF_4',T1_60) ),
inference(splitRight,[status(thm)],[c_188]) ).
tff(c_18,plain,
! [T_17,E_12] :
( greater(growth_rate(efficient_producers,T_17),zero)
| ~ greater_or_equal(T_17,'#skF_3'(E_12))
| ~ subpopulations(first_movers,efficient_producers,E_12,T_17)
| ~ stable(E_12)
| ~ environment(E_12) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_228,plain,
! [E_62] :
( greater(growth_rate(efficient_producers,'#skF_1'('#skF_4','#skF_3'(E_62))),zero)
| ~ subpopulations(first_movers,efficient_producers,E_62,'#skF_1'('#skF_4','#skF_3'(E_62)))
| ~ stable(E_62)
| ~ environment(E_62)
| ~ in_environment('#skF_4','#skF_3'(E_62)) ),
inference(resolution,[status(thm)],[c_205,c_18]) ).
tff(c_231,plain,
( greater(growth_rate(efficient_producers,'#skF_1'('#skF_4','#skF_3'('#skF_4'))),zero)
| ~ stable('#skF_4')
| ~ environment('#skF_4')
| ~ in_environment('#skF_4','#skF_3'('#skF_4')) ),
inference(resolution,[status(thm)],[c_226,c_228]) ).
tff(c_237,plain,
( greater(growth_rate(efficient_producers,'#skF_1'('#skF_4','#skF_3'('#skF_4'))),zero)
| ~ in_environment('#skF_4','#skF_3'('#skF_4')) ),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_20,c_231]) ).
tff(c_241,plain,
~ in_environment('#skF_4','#skF_3'('#skF_4')),
inference(splitLeft,[status(thm)],[c_237]) ).
tff(c_244,plain,
( ~ stable('#skF_4')
| ~ environment('#skF_4') ),
inference(resolution,[status(thm)],[c_14,c_241]) ).
tff(c_248,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_20,c_244]) ).
tff(c_250,plain,
in_environment('#skF_4','#skF_3'('#skF_4')),
inference(splitRight,[status(thm)],[c_237]) ).
tff(c_270,plain,
! [E_67] :
( greater(zero,growth_rate(first_movers,'#skF_1'('#skF_4','#skF_3'(E_67))))
| ~ subpopulations(first_movers,efficient_producers,E_67,'#skF_1'('#skF_4','#skF_3'(E_67)))
| ~ stable(E_67)
| ~ environment(E_67)
| ~ in_environment('#skF_4','#skF_3'(E_67)) ),
inference(resolution,[status(thm)],[c_205,c_16]) ).
tff(c_273,plain,
( greater(zero,growth_rate(first_movers,'#skF_1'('#skF_4','#skF_3'('#skF_4'))))
| ~ stable('#skF_4')
| ~ environment('#skF_4')
| ~ in_environment('#skF_4','#skF_3'('#skF_4')) ),
inference(resolution,[status(thm)],[c_226,c_270]) ).
tff(c_279,plain,
greater(zero,growth_rate(first_movers,'#skF_1'('#skF_4','#skF_3'('#skF_4')))),
inference(demodulation,[status(thm),theory(equality)],[c_250,c_22,c_20,c_273]) ).
tff(c_2,plain,
! [E_1,T1_8,T_11] :
( ~ greater(zero,growth_rate(first_movers,'#skF_1'(E_1,T1_8)))
| greater(zero,growth_rate(first_movers,T_11))
| ~ greater_or_equal(T_11,'#skF_2'(E_1))
| ~ subpopulations(first_movers,efficient_producers,E_1,T_11)
| ~ in_environment(E_1,T1_8)
| ~ stable(E_1)
| ~ environment(E_1) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_297,plain,
! [T_11] :
( greater(zero,growth_rate(first_movers,T_11))
| ~ greater_or_equal(T_11,'#skF_2'('#skF_4'))
| ~ subpopulations(first_movers,efficient_producers,'#skF_4',T_11)
| ~ in_environment('#skF_4','#skF_3'('#skF_4'))
| ~ stable('#skF_4')
| ~ environment('#skF_4') ),
inference(resolution,[status(thm)],[c_279,c_2]) ).
tff(c_306,plain,
! [T_70] :
( greater(zero,growth_rate(first_movers,T_70))
| ~ greater_or_equal(T_70,'#skF_2'('#skF_4'))
| ~ subpopulations(first_movers,efficient_producers,'#skF_4',T_70) ),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_20,c_250,c_297]) ).
tff(c_318,plain,
( greater(zero,growth_rate(first_movers,'#skF_5'('#skF_2'('#skF_4'))))
| ~ subpopulations(first_movers,efficient_producers,'#skF_4','#skF_5'('#skF_2'('#skF_4')))
| ~ greater('#skF_2'('#skF_4'),appear(efficient_producers,'#skF_4')) ),
inference(resolution,[status(thm)],[c_26,c_306]) ).
tff(c_323,plain,
( greater(zero,growth_rate(first_movers,'#skF_5'('#skF_2'('#skF_4'))))
| ~ subpopulations(first_movers,efficient_producers,'#skF_4','#skF_5'('#skF_2'('#skF_4'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_189,c_318]) ).
tff(c_324,plain,
~ subpopulations(first_movers,efficient_producers,'#skF_4','#skF_5'('#skF_2'('#skF_4'))),
inference(negUnitSimplification,[status(thm)],[c_204,c_323]) ).
tff(c_327,plain,
~ greater('#skF_2'('#skF_4'),appear(efficient_producers,'#skF_4')),
inference(resolution,[status(thm)],[c_28,c_324]) ).
tff(c_331,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_189,c_327]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MGT028+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 20:34:18 EDT 2023
% 0.15/0.35 % CPUTime :
% 3.64/1.91 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.92/1.92
% 3.92/1.92 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.92/1.96
% 3.92/1.96 Inference rules
% 3.92/1.96 ----------------------
% 3.92/1.96 #Ref : 0
% 3.92/1.96 #Sup : 48
% 3.92/1.96 #Fact : 0
% 3.92/1.96 #Define : 0
% 3.92/1.96 #Split : 5
% 3.92/1.96 #Chain : 0
% 3.92/1.96 #Close : 0
% 3.92/1.96
% 3.92/1.96 Ordering : KBO
% 3.92/1.96
% 3.92/1.96 Simplification rules
% 3.92/1.96 ----------------------
% 3.92/1.96 #Subsume : 5
% 3.92/1.96 #Demod : 62
% 3.92/1.96 #Tautology : 4
% 3.92/1.96 #SimpNegUnit : 5
% 3.92/1.96 #BackRed : 0
% 3.92/1.96
% 3.92/1.96 #Partial instantiations: 0
% 3.92/1.96 #Strategies tried : 1
% 3.92/1.96
% 3.92/1.96 Timing (in seconds)
% 3.92/1.96 ----------------------
% 3.92/1.96 Preprocessing : 0.46
% 3.92/1.96 Parsing : 0.26
% 3.92/1.96 CNF conversion : 0.03
% 3.92/1.96 Main loop : 0.41
% 3.92/1.96 Inferencing : 0.18
% 3.92/1.96 Reduction : 0.10
% 3.92/1.96 Demodulation : 0.07
% 3.92/1.96 BG Simplification : 0.02
% 3.92/1.96 Subsumption : 0.08
% 3.92/1.96 Abstraction : 0.01
% 3.92/1.96 MUC search : 0.00
% 3.92/1.96 Cooper : 0.00
% 3.92/1.96 Total : 0.94
% 3.92/1.96 Index Insertion : 0.00
% 3.92/1.96 Index Deletion : 0.00
% 3.92/1.96 Index Matching : 0.00
% 3.92/1.96 BG Taut test : 0.00
%------------------------------------------------------------------------------