TSTP Solution File: MGT036-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : MGT036-1 : 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/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 10:49:39 EDT 2023
% Result : Unsatisfiable 3.06s 1.77s
% Output : CNFRefutation 3.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 24
% Syntax : Number of formulae : 61 ( 21 unt; 13 typ; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 111 ( 59 ~; 52 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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 : 71 (; 71 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subpopulations > outcompetes > in_environment > greater_or_equal > greater > environment > growth_rate > #nlpp > resilience > 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(efficient_producers,type,
efficient_producers: $i ).
tff(resilience,type,
resilience: $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(outcompetes,type,
outcompetes: ( $i * $i * $i ) > $o ).
tff(zero,type,
zero: $i ).
tff(f_119,axiom,
outcompetes(first_movers,efficient_producers,sk2),
file(unknown,unknown) ).
tff(f_118,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file(unknown,unknown) ).
tff(f_117,axiom,
environment(sk1),
file(unknown,unknown) ).
tff(f_31,axiom,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| subpopulations(efficient_producers,first_movers,A,B) ),
file(unknown,unknown) ).
tff(f_44,axiom,
! [A,B,C] :
( environment(A)
| ~ greater(zero,growth_rate(B,C)) ),
file(unknown,unknown) ).
tff(f_101,axiom,
! [A,B,C,D] :
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ outcompetes(C,B,D)
| greater(zero,growth_rate(B,D)) ),
file(unknown,unknown) ).
tff(f_90,axiom,
! [A,B,C,D] :
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ outcompetes(C,B,D)
| greater_or_equal(growth_rate(C,D),zero) ),
file(unknown,unknown) ).
tff(f_55,axiom,
! [A,B] :
( ~ greater_or_equal(growth_rate(A,B),zero)
| ~ greater(zero,growth_rate(A,B)) ),
file(unknown,unknown) ).
tff(f_116,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file(unknown,unknown) ).
tff(f_115,axiom,
! [A,B,C,D] :
( ~ environment(A)
| ~ in_environment(A,B)
| greater(zero,growth_rate(C,B))
| ~ greater(resilience(D),resilience(C))
| ~ greater(zero,growth_rate(D,B)) ),
file(unknown,unknown) ).
tff(f_39,axiom,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| in_environment(A,B) ),
file(unknown,unknown) ).
tff(c_28,plain,
outcompetes(first_movers,efficient_producers,sk2),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_26,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_24,plain,
environment(sk1),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_38,plain,
! [A_38,B_39] :
( subpopulations(efficient_producers,first_movers,A_38,B_39)
| ~ subpopulations(first_movers,efficient_producers,A_38,B_39)
| ~ environment(A_38) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_41,plain,
( subpopulations(efficient_producers,first_movers,sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_26,c_38]) ).
tff(c_44,plain,
subpopulations(efficient_producers,first_movers,sk1,sk2),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_41]) ).
tff(c_6,plain,
! [B_6,C_7,A_5] :
( ~ greater(zero,growth_rate(B_6,C_7))
| environment(A_5) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_29,plain,
! [B_6,C_7] : ~ greater(zero,growth_rate(B_6,C_7)),
inference(splitLeft,[status(thm)],[c_6]) ).
tff(c_18,plain,
! [B_27,D_29,C_28,A_26] :
( greater(zero,growth_rate(B_27,D_29))
| ~ outcompetes(C_28,B_27,D_29)
| ~ subpopulations(B_27,C_28,A_26,D_29)
| ~ environment(A_26) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_58,plain,
! [C_44,B_45,D_46,A_47] :
( ~ outcompetes(C_44,B_45,D_46)
| ~ subpopulations(B_45,C_44,A_47,D_46)
| ~ environment(A_47) ),
inference(negUnitSimplification,[status(thm)],[c_29,c_18]) ).
tff(c_61,plain,
( ~ outcompetes(first_movers,efficient_producers,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_44,c_58]) ).
tff(c_68,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_28,c_61]) ).
tff(c_69,plain,
! [A_5] : environment(A_5),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_2,plain,
! [A_1,B_2] :
( subpopulations(efficient_producers,first_movers,A_1,B_2)
| ~ subpopulations(first_movers,efficient_producers,A_1,B_2)
| ~ environment(A_1) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_83,plain,
! [A_57,B_58] :
( subpopulations(efficient_producers,first_movers,A_57,B_58)
| ~ subpopulations(first_movers,efficient_producers,A_57,B_58) ),
inference(demodulation,[status(thm),theory(equality)],[c_69,c_2]) ).
tff(c_87,plain,
subpopulations(efficient_producers,first_movers,sk1,sk2),
inference(resolution,[status(thm)],[c_26,c_83]) ).
tff(c_16,plain,
! [C_24,D_25,B_23,A_22] :
( greater_or_equal(growth_rate(C_24,D_25),zero)
| ~ outcompetes(C_24,B_23,D_25)
| ~ subpopulations(B_23,C_24,A_22,D_25)
| ~ environment(A_22) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_90,plain,
! [C_59,D_60,B_61,A_62] :
( greater_or_equal(growth_rate(C_59,D_60),zero)
| ~ outcompetes(C_59,B_61,D_60)
| ~ subpopulations(B_61,C_59,A_62,D_60) ),
inference(demodulation,[status(thm),theory(equality)],[c_69,c_16]) ).
tff(c_92,plain,
( greater_or_equal(growth_rate(first_movers,sk2),zero)
| ~ outcompetes(first_movers,efficient_producers,sk2) ),
inference(resolution,[status(thm)],[c_87,c_90]) ).
tff(c_97,plain,
greater_or_equal(growth_rate(first_movers,sk2),zero),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_92]) ).
tff(c_10,plain,
! [A_12,B_13] :
( ~ greater(zero,growth_rate(A_12,B_13))
| ~ greater_or_equal(growth_rate(A_12,B_13),zero) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_102,plain,
~ greater(zero,growth_rate(first_movers,sk2)),
inference(resolution,[status(thm)],[c_97,c_10]) ).
tff(c_22,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_105,plain,
! [B_63,D_64,C_65,A_66] :
( greater(zero,growth_rate(B_63,D_64))
| ~ outcompetes(C_65,B_63,D_64)
| ~ subpopulations(B_63,C_65,A_66,D_64) ),
inference(demodulation,[status(thm),theory(equality)],[c_69,c_18]) ).
tff(c_107,plain,
( greater(zero,growth_rate(efficient_producers,sk2))
| ~ outcompetes(first_movers,efficient_producers,sk2) ),
inference(resolution,[status(thm)],[c_87,c_105]) ).
tff(c_112,plain,
greater(zero,growth_rate(efficient_producers,sk2)),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_107]) ).
tff(c_20,plain,
! [D_33,B_31,C_32,A_30] :
( ~ greater(zero,growth_rate(D_33,B_31))
| ~ greater(resilience(D_33),resilience(C_32))
| greater(zero,growth_rate(C_32,B_31))
| ~ in_environment(A_30,B_31)
| ~ environment(A_30) ),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_151,plain,
! [D_75,B_76,C_77,A_78] :
( ~ greater(zero,growth_rate(D_75,B_76))
| ~ greater(resilience(D_75),resilience(C_77))
| greater(zero,growth_rate(C_77,B_76))
| ~ in_environment(A_78,B_76) ),
inference(demodulation,[status(thm),theory(equality)],[c_69,c_20]) ).
tff(c_154,plain,
! [C_77,A_78] :
( ~ greater(resilience(efficient_producers),resilience(C_77))
| greater(zero,growth_rate(C_77,sk2))
| ~ in_environment(A_78,sk2) ),
inference(resolution,[status(thm)],[c_112,c_151]) ).
tff(c_155,plain,
! [A_78] : ~ in_environment(A_78,sk2),
inference(splitLeft,[status(thm)],[c_154]) ).
tff(c_4,plain,
! [A_3,B_4] :
( in_environment(A_3,B_4)
| ~ subpopulations(first_movers,efficient_producers,A_3,B_4)
| ~ environment(A_3) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_76,plain,
! [A_55,B_56] :
( in_environment(A_55,B_56)
| ~ subpopulations(first_movers,efficient_producers,A_55,B_56) ),
inference(demodulation,[status(thm),theory(equality)],[c_69,c_4]) ).
tff(c_80,plain,
in_environment(sk1,sk2),
inference(resolution,[status(thm)],[c_26,c_76]) ).
tff(c_157,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155,c_80]) ).
tff(c_159,plain,
! [C_79] :
( ~ greater(resilience(efficient_producers),resilience(C_79))
| greater(zero,growth_rate(C_79,sk2)) ),
inference(splitRight,[status(thm)],[c_154]) ).
tff(c_162,plain,
greater(zero,growth_rate(first_movers,sk2)),
inference(resolution,[status(thm)],[c_22,c_159]) ).
tff(c_166,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MGT036-1 : TPTP v8.1.2. Released v2.4.0.
% 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
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 20:34:48 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.06/1.77 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.23/1.79
% 3.23/1.79 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.23/1.82
% 3.23/1.82 Inference rules
% 3.23/1.82 ----------------------
% 3.23/1.82 #Ref : 0
% 3.23/1.82 #Sup : 22
% 3.23/1.82 #Fact : 0
% 3.23/1.82 #Define : 0
% 3.23/1.82 #Split : 3
% 3.23/1.82 #Chain : 0
% 3.23/1.82 #Close : 0
% 3.23/1.82
% 3.23/1.82 Ordering : KBO
% 3.23/1.82
% 3.23/1.82 Simplification rules
% 3.23/1.82 ----------------------
% 3.23/1.82 #Subsume : 4
% 3.23/1.82 #Demod : 20
% 3.23/1.82 #Tautology : 5
% 3.23/1.82 #SimpNegUnit : 5
% 3.23/1.82 #BackRed : 1
% 3.23/1.82
% 3.23/1.82 #Partial instantiations: 0
% 3.23/1.82 #Strategies tried : 1
% 3.23/1.82
% 3.23/1.82 Timing (in seconds)
% 3.23/1.82 ----------------------
% 3.23/1.83 Preprocessing : 0.45
% 3.23/1.83 Parsing : 0.25
% 3.23/1.83 CNF conversion : 0.03
% 3.23/1.83 Main loop : 0.29
% 3.23/1.83 Inferencing : 0.12
% 3.23/1.83 Reduction : 0.08
% 3.23/1.83 Demodulation : 0.06
% 3.23/1.83 BG Simplification : 0.02
% 3.23/1.83 Subsumption : 0.05
% 3.23/1.83 Abstraction : 0.01
% 3.23/1.83 MUC search : 0.00
% 3.23/1.83 Cooper : 0.00
% 3.23/1.83 Total : 0.81
% 3.23/1.83 Index Insertion : 0.00
% 3.23/1.83 Index Deletion : 0.00
% 3.23/1.83 Index Matching : 0.00
% 3.23/1.83 BG Taut test : 0.00
%------------------------------------------------------------------------------