TSTP Solution File: MGT036+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : MGT036+2 : 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/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 10:49:39 EDT 2023
% Result : Theorem 3.27s 1.81s
% Output : CNFRefutation 3.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of formulae : 60 ( 18 unt; 13 typ; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 106 ( 50 ~; 39 |; 9 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 8 >; 9 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 92 (; 92 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subpopulations > outcompetes > in_environment > greater_or_equal > greater > environment > growth_rate > #nlpp > resilience > zero > first_movers > efficient_producers > #skF_2 > #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(in_environment,type,
in_environment: ( $i * $i ) > $o ).
tff(efficient_producers,type,
efficient_producers: $i ).
tff(resilience,type,
resilience: $i > $i ).
tff(growth_rate,type,
growth_rate: ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_1',type,
'#skF_1': $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(outcompetes,type,
outcompetes: ( $i * $i * $i ) > $o ).
tff(zero,type,
zero: $i ).
tff(f_92,negated_conjecture,
~ ! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T) )
=> ~ outcompetes(first_movers,efficient_producers,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t5) ).
tff(f_68,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).
tff(f_35,axiom,
! [E,S1,S2,T] :
( ( environment(E)
& subpopulations(S1,S2,E,T) )
=> subpopulations(S2,S1,E,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations) ).
tff(f_53,axiom,
! [E,S1,S2,T] :
( ( ( environment(E)
& subpopulations(S1,S2,E,T) )
=> greater_or_equal(growth_rate(S1,T),zero) )
<=> ~ greater(zero,growth_rate(S1,T)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_relationships) ).
tff(f_66,hypothesis,
! [E,S1,S2,T] :
( ( environment(E)
& subpopulations(S1,S2,E,T) )
=> ( ( greater_or_equal(growth_rate(S2,T),zero)
& greater(zero,growth_rate(S1,T)) )
<=> outcompetes(S2,S1,T) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).
tff(f_43,axiom,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T) )
=> in_environment(E,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occur) ).
tff(f_83,hypothesis,
! [E,S1,S2,T] :
( ( environment(E)
& in_environment(E,T)
& ~ greater(zero,growth_rate(S1,T))
& greater(resilience(S2),resilience(S1)) )
=> ~ greater(zero,growth_rate(S2,T)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13) ).
tff(c_24,plain,
outcompetes(first_movers,efficient_producers,'#skF_2'),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_20,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_26,plain,
subpopulations(first_movers,efficient_producers,'#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_28,plain,
environment('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_38,plain,
! [S2_23,S1_24,E_25,T_26] :
( subpopulations(S2_23,S1_24,E_25,T_26)
| ~ subpopulations(S1_24,S2_23,E_25,T_26)
| ~ environment(E_25) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_40,plain,
( subpopulations(efficient_producers,first_movers,'#skF_1','#skF_2')
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_26,c_38]) ).
tff(c_43,plain,
subpopulations(efficient_producers,first_movers,'#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_40]) ).
tff(c_12,plain,
! [E_7,S1_8,T_10] :
( environment(E_7)
| ~ greater(zero,growth_rate(S1_8,T_10)) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_29,plain,
! [S1_8,T_10] : ~ greater(zero,growth_rate(S1_8,T_10)),
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_16,plain,
! [S1_12,T_14,S2_13,E_11] :
( greater(zero,growth_rate(S1_12,T_14))
| ~ outcompetes(S2_13,S1_12,T_14)
| ~ subpopulations(S1_12,S2_13,E_11,T_14)
| ~ environment(E_11) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_50,plain,
! [S2_27,S1_28,T_29,E_30] :
( ~ outcompetes(S2_27,S1_28,T_29)
| ~ subpopulations(S1_28,S2_27,E_30,T_29)
| ~ environment(E_30) ),
inference(negUnitSimplification,[status(thm)],[c_29,c_16]) ).
tff(c_53,plain,
( ~ outcompetes(first_movers,efficient_producers,'#skF_2')
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_43,c_50]) ).
tff(c_60,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_24,c_53]) ).
tff(c_61,plain,
! [E_7] : environment(E_7),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_2,plain,
! [S2_3,S1_2,E_1,T_4] :
( subpopulations(S2_3,S1_2,E_1,T_4)
| ~ subpopulations(S1_2,S2_3,E_1,T_4)
| ~ environment(E_1) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_75,plain,
! [S2_40,S1_41,E_42,T_43] :
( subpopulations(S2_40,S1_41,E_42,T_43)
| ~ subpopulations(S1_41,S2_40,E_42,T_43) ),
inference(demodulation,[status(thm),theory(equality)],[c_61,c_2]) ).
tff(c_78,plain,
subpopulations(efficient_producers,first_movers,'#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_26,c_75]) ).
tff(c_85,plain,
! [S1_44,T_45,S2_46,E_47] :
( greater(zero,growth_rate(S1_44,T_45))
| ~ outcompetes(S2_46,S1_44,T_45)
| ~ subpopulations(S1_44,S2_46,E_47,T_45) ),
inference(demodulation,[status(thm),theory(equality)],[c_61,c_16]) ).
tff(c_87,plain,
( greater(zero,growth_rate(efficient_producers,'#skF_2'))
| ~ outcompetes(first_movers,efficient_producers,'#skF_2') ),
inference(resolution,[status(thm)],[c_78,c_85]) ).
tff(c_92,plain,
greater(zero,growth_rate(efficient_producers,'#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_87]) ).
tff(c_10,plain,
! [S1_8,S2_9,E_7,T_10] :
( subpopulations(S1_8,S2_9,E_7,T_10)
| ~ greater(zero,growth_rate(S1_8,T_10)) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_98,plain,
! [S2_48,E_49] : subpopulations(efficient_producers,S2_48,E_49,'#skF_2'),
inference(resolution,[status(thm)],[c_92,c_10]) ).
tff(c_74,plain,
! [S2_3,S1_2,E_1,T_4] :
( subpopulations(S2_3,S1_2,E_1,T_4)
| ~ subpopulations(S1_2,S2_3,E_1,T_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_61,c_2]) ).
tff(c_107,plain,
! [S2_50,E_51] : subpopulations(S2_50,efficient_producers,E_51,'#skF_2'),
inference(resolution,[status(thm)],[c_98,c_74]) ).
tff(c_4,plain,
! [E_5,T_6] :
( in_environment(E_5,T_6)
| ~ subpopulations(first_movers,efficient_producers,E_5,T_6)
| ~ environment(E_5) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_67,plain,
! [E_5,T_6] :
( in_environment(E_5,T_6)
| ~ subpopulations(first_movers,efficient_producers,E_5,T_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_61,c_4]) ).
tff(c_119,plain,
! [E_51] : in_environment(E_51,'#skF_2'),
inference(resolution,[status(thm)],[c_107,c_67]) ).
tff(c_22,plain,
! [S2_17,T_18,S1_16,E_15] :
( ~ greater(zero,growth_rate(S2_17,T_18))
| ~ greater(resilience(S2_17),resilience(S1_16))
| greater(zero,growth_rate(S1_16,T_18))
| ~ in_environment(E_15,T_18)
| ~ environment(E_15) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_160,plain,
! [S2_65,T_66,S1_67,E_68] :
( ~ greater(zero,growth_rate(S2_65,T_66))
| ~ greater(resilience(S2_65),resilience(S1_67))
| greater(zero,growth_rate(S1_67,T_66))
| ~ in_environment(E_68,T_66) ),
inference(demodulation,[status(thm),theory(equality)],[c_61,c_22]) ).
tff(c_162,plain,
! [S1_67,E_68] :
( ~ greater(resilience(efficient_producers),resilience(S1_67))
| greater(zero,growth_rate(S1_67,'#skF_2'))
| ~ in_environment(E_68,'#skF_2') ),
inference(resolution,[status(thm)],[c_92,c_160]) ).
tff(c_171,plain,
! [S1_70] :
( ~ greater(resilience(efficient_producers),resilience(S1_70))
| greater(zero,growth_rate(S1_70,'#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_119,c_162]) ).
tff(c_175,plain,
greater(zero,growth_rate(first_movers,'#skF_2')),
inference(resolution,[status(thm)],[c_20,c_171]) ).
tff(c_96,plain,
! [S2_9,E_7] : subpopulations(efficient_producers,S2_9,E_7,'#skF_2'),
inference(resolution,[status(thm)],[c_92,c_10]) ).
tff(c_18,plain,
! [S2_13,T_14,S1_12,E_11] :
( greater_or_equal(growth_rate(S2_13,T_14),zero)
| ~ outcompetes(S2_13,S1_12,T_14)
| ~ subpopulations(S1_12,S2_13,E_11,T_14)
| ~ environment(E_11) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_124,plain,
! [S2_53,T_54,S1_55,E_56] :
( greater_or_equal(growth_rate(S2_53,T_54),zero)
| ~ outcompetes(S2_53,S1_55,T_54)
| ~ subpopulations(S1_55,S2_53,E_56,T_54) ),
inference(demodulation,[status(thm),theory(equality)],[c_61,c_18]) ).
tff(c_132,plain,
! [S2_57] :
( greater_or_equal(growth_rate(S2_57,'#skF_2'),zero)
| ~ outcompetes(S2_57,efficient_producers,'#skF_2') ),
inference(resolution,[status(thm)],[c_96,c_124]) ).
tff(c_8,plain,
! [S1_8,T_10] :
( ~ greater_or_equal(growth_rate(S1_8,T_10),zero)
| ~ greater(zero,growth_rate(S1_8,T_10)) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_136,plain,
! [S2_57] :
( ~ greater(zero,growth_rate(S2_57,'#skF_2'))
| ~ outcompetes(S2_57,efficient_producers,'#skF_2') ),
inference(resolution,[status(thm)],[c_132,c_8]) ).
tff(c_180,plain,
~ outcompetes(first_movers,efficient_producers,'#skF_2'),
inference(resolution,[status(thm)],[c_175,c_136]) ).
tff(c_189,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_180]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MGT036+2 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % 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
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 20:49:37 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.27/1.81 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.27/1.82
% 3.27/1.82 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.27/1.86
% 3.27/1.86 Inference rules
% 3.27/1.86 ----------------------
% 3.27/1.86 #Ref : 0
% 3.27/1.86 #Sup : 29
% 3.27/1.86 #Fact : 0
% 3.27/1.86 #Define : 0
% 3.27/1.86 #Split : 3
% 3.27/1.86 #Chain : 0
% 3.27/1.86 #Close : 0
% 3.27/1.86
% 3.27/1.86 Ordering : KBO
% 3.27/1.86
% 3.27/1.86 Simplification rules
% 3.27/1.86 ----------------------
% 3.27/1.86 #Subsume : 6
% 3.27/1.86 #Demod : 24
% 3.27/1.86 #Tautology : 10
% 3.27/1.86 #SimpNegUnit : 1
% 3.27/1.86 #BackRed : 0
% 3.27/1.86
% 3.27/1.86 #Partial instantiations: 0
% 3.27/1.86 #Strategies tried : 1
% 3.27/1.86
% 3.27/1.86 Timing (in seconds)
% 3.27/1.86 ----------------------
% 3.27/1.86 Preprocessing : 0.47
% 3.27/1.86 Parsing : 0.26
% 3.27/1.86 CNF conversion : 0.03
% 3.27/1.86 Main loop : 0.30
% 3.27/1.86 Inferencing : 0.13
% 3.27/1.86 Reduction : 0.07
% 3.27/1.86 Demodulation : 0.05
% 3.27/1.86 BG Simplification : 0.01
% 3.27/1.86 Subsumption : 0.06
% 3.27/1.86 Abstraction : 0.01
% 3.27/1.86 MUC search : 0.00
% 3.27/1.86 Cooper : 0.00
% 3.27/1.86 Total : 0.83
% 3.27/1.86 Index Insertion : 0.00
% 3.27/1.86 Index Deletion : 0.00
% 3.27/1.86 Index Matching : 0.00
% 3.27/1.86 BG Taut test : 0.00
%------------------------------------------------------------------------------