TSTP Solution File: MGT023-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : MGT023-1 : 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 : n010.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 10:49:34 EDT 2023
% Result : Unsatisfiable 3.06s 1.85s
% Output : CNFRefutation 3.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 21
% Syntax : Number of formulae : 42 ( 9 unt; 12 typ; 0 def)
% Number of atoms : 104 ( 15 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 137 ( 63 ~; 74 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 9 >; 7 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 31 (; 31 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subpopulations > in_environment > greater > stable > environment > sk1 > growth_rate > #nlpp > sk2 > critical_point > 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(efficient_producers,type,
efficient_producers: $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(sk3,type,
sk3: $i ).
tff(sk1,type,
sk1: ( $i * $i ) > $i ).
tff(stable,type,
stable: $i > $o ).
tff(f_95,axiom,
~ in_environment(sk3,critical_point(sk3)),
file(unknown,unknown) ).
tff(f_92,axiom,
environment(sk3),
file(unknown,unknown) ).
tff(f_93,axiom,
stable(sk3),
file(unknown,unknown) ).
tff(f_68,axiom,
! [A] :
( ~ environment(A)
| ~ stable(A)
| in_environment(A,sk2(A)) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [A,B] :
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ( B = critical_point(A) ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
! [A] :
( ~ environment(A)
| ~ stable(A)
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ),
file(unknown,unknown) ).
tff(f_47,axiom,
! [A,B] :
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| greater(sk1(B,A),B)
| ( B = critical_point(A) ) ),
file(unknown,unknown) ).
tff(f_91,axiom,
! [A,B] :
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater(B,sk2(A))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [A,B] :
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| ( B = critical_point(A) ) ),
file(unknown,unknown) ).
tff(c_18,plain,
~ in_environment(sk3,critical_point(sk3)),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_14,plain,
environment(sk3),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_16,plain,
stable(sk3),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_8,plain,
! [A_7] :
( in_environment(A_7,sk2(A_7))
| ~ stable(A_7)
| ~ environment(A_7) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_35,plain,
! [A_19,B_20] :
( ( critical_point(A_19) = B_20 )
| subpopulations(first_movers,efficient_producers,A_19,sk1(B_20,A_19))
| ~ in_environment(A_19,B_20)
| greater(growth_rate(efficient_producers,B_20),growth_rate(first_movers,B_20))
| ~ environment(A_19) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_10,plain,
! [A_8] :
( ~ greater(growth_rate(efficient_producers,sk2(A_8)),growth_rate(first_movers,sk2(A_8)))
| ~ stable(A_8)
| ~ environment(A_8) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_39,plain,
! [A_8,A_19] :
( ~ stable(A_8)
| ~ environment(A_8)
| ( sk2(A_8) = critical_point(A_19) )
| subpopulations(first_movers,efficient_producers,A_19,sk1(sk2(A_8),A_19))
| ~ in_environment(A_19,sk2(A_8))
| ~ environment(A_19) ),
inference(resolution,[status(thm)],[c_35,c_10]) ).
tff(c_21,plain,
! [A_13,B_14] :
( ( critical_point(A_13) = B_14 )
| greater(sk1(B_14,A_13),B_14)
| ~ in_environment(A_13,B_14)
| greater(growth_rate(efficient_producers,B_14),growth_rate(first_movers,B_14))
| ~ environment(A_13) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_31,plain,
! [A_17,A_18] :
( ~ stable(A_17)
| ~ environment(A_17)
| ( sk2(A_17) = critical_point(A_18) )
| greater(sk1(sk2(A_17),A_18),sk2(A_17))
| ~ in_environment(A_18,sk2(A_17))
| ~ environment(A_18) ),
inference(resolution,[status(thm)],[c_21,c_10]) ).
tff(c_12,plain,
! [B_10,A_9] :
( greater(growth_rate(efficient_producers,B_10),growth_rate(first_movers,B_10))
| ~ greater(B_10,sk2(A_9))
| ~ subpopulations(first_movers,efficient_producers,A_9,B_10)
| ~ stable(A_9)
| ~ environment(A_9) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_50,plain,
! [A_25,A_26] :
( greater(growth_rate(efficient_producers,sk1(sk2(A_25),A_26)),growth_rate(first_movers,sk1(sk2(A_25),A_26)))
| ~ subpopulations(first_movers,efficient_producers,A_25,sk1(sk2(A_25),A_26))
| ~ stable(A_25)
| ~ environment(A_25)
| ( sk2(A_25) = critical_point(A_26) )
| ~ in_environment(A_26,sk2(A_25))
| ~ environment(A_26) ),
inference(resolution,[status(thm)],[c_31,c_12]) ).
tff(c_6,plain,
! [A_5,B_6] :
( ( critical_point(A_5) = B_6 )
| ~ greater(growth_rate(efficient_producers,sk1(B_6,A_5)),growth_rate(first_movers,sk1(B_6,A_5)))
| ~ in_environment(A_5,B_6)
| greater(growth_rate(efficient_producers,B_6),growth_rate(first_movers,B_6))
| ~ environment(A_5) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_55,plain,
! [A_27,A_28] :
( greater(growth_rate(efficient_producers,sk2(A_27)),growth_rate(first_movers,sk2(A_27)))
| ~ subpopulations(first_movers,efficient_producers,A_27,sk1(sk2(A_27),A_28))
| ~ stable(A_27)
| ~ environment(A_27)
| ( sk2(A_27) = critical_point(A_28) )
| ~ in_environment(A_28,sk2(A_27))
| ~ environment(A_28) ),
inference(resolution,[status(thm)],[c_50,c_6]) ).
tff(c_64,plain,
! [A_29] :
( greater(growth_rate(efficient_producers,sk2(A_29)),growth_rate(first_movers,sk2(A_29)))
| ~ stable(A_29)
| ( sk2(A_29) = critical_point(A_29) )
| ~ in_environment(A_29,sk2(A_29))
| ~ environment(A_29) ),
inference(resolution,[status(thm)],[c_39,c_55]) ).
tff(c_69,plain,
! [A_30] :
( ~ stable(A_30)
| ( sk2(A_30) = critical_point(A_30) )
| ~ in_environment(A_30,sk2(A_30))
| ~ environment(A_30) ),
inference(resolution,[status(thm)],[c_64,c_10]) ).
tff(c_83,plain,
! [A_34] :
( ( sk2(A_34) = critical_point(A_34) )
| ~ stable(A_34)
| ~ environment(A_34) ),
inference(resolution,[status(thm)],[c_8,c_69]) ).
tff(c_86,plain,
( ( sk2(sk3) = critical_point(sk3) )
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[c_16,c_83]) ).
tff(c_89,plain,
sk2(sk3) = critical_point(sk3),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_86]) ).
tff(c_118,plain,
( in_environment(sk3,critical_point(sk3))
| ~ stable(sk3)
| ~ environment(sk3) ),
inference(superposition,[status(thm),theory(equality)],[c_89,c_8]) ).
tff(c_140,plain,
in_environment(sk3,critical_point(sk3)),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_16,c_118]) ).
tff(c_142,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MGT023-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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 : n010.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 20:21:59 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.06/1.85 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.06/1.85
% 3.06/1.85 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.33/1.88
% 3.33/1.88 Inference rules
% 3.33/1.88 ----------------------
% 3.33/1.88 #Ref : 0
% 3.33/1.88 #Sup : 26
% 3.33/1.88 #Fact : 0
% 3.33/1.88 #Define : 0
% 3.33/1.88 #Split : 0
% 3.33/1.88 #Chain : 0
% 3.33/1.88 #Close : 0
% 3.33/1.88
% 3.33/1.88 Ordering : KBO
% 3.33/1.88
% 3.33/1.88 Simplification rules
% 3.33/1.88 ----------------------
% 3.33/1.88 #Subsume : 2
% 3.33/1.88 #Demod : 43
% 3.33/1.88 #Tautology : 1
% 3.33/1.88 #SimpNegUnit : 1
% 3.33/1.88 #BackRed : 0
% 3.33/1.88
% 3.33/1.88 #Partial instantiations: 0
% 3.33/1.88 #Strategies tried : 1
% 3.33/1.88
% 3.33/1.88 Timing (in seconds)
% 3.33/1.88 ----------------------
% 3.33/1.89 Preprocessing : 0.45
% 3.33/1.89 Parsing : 0.25
% 3.33/1.89 CNF conversion : 0.02
% 3.33/1.89 Main loop : 0.32
% 3.33/1.89 Inferencing : 0.15
% 3.33/1.89 Reduction : 0.07
% 3.33/1.89 Demodulation : 0.05
% 3.33/1.89 BG Simplification : 0.02
% 3.33/1.89 Subsumption : 0.07
% 3.33/1.89 Abstraction : 0.01
% 3.33/1.89 MUC search : 0.00
% 3.33/1.89 Cooper : 0.00
% 3.33/1.89 Total : 0.83
% 3.33/1.89 Index Insertion : 0.00
% 3.33/1.89 Index Deletion : 0.00
% 3.33/1.89 Index Matching : 0.00
% 3.33/1.89 BG Taut test : 0.00
%------------------------------------------------------------------------------