TSTP Solution File: MGT023+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : MGT023+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 : n026.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 : Theorem 2.98s 1.87s
% Output : CNFRefutation 3.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 36 ( 6 unt; 12 typ; 0 def)
% Number of atoms : 91 ( 13 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 117 ( 50 ~; 53 |; 9 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 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 : 28 (; 27 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subpopulations > in_environment > greater > stable > environment > growth_rate > #nlpp > critical_point > first_movers > efficient_producers > #skF_2 > #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_2',type,
'#skF_2': $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('#skF_3',type,
'#skF_3': $i ).
tff(environment,type,
environment: $i > $o ).
tff(first_movers,type,
first_movers: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(stable,type,
stable: $i > $o ).
tff(f_74,negated_conjecture,
~ ! [E] :
( ( environment(E)
& stable(E) )
=> in_environment(E,critical_point(E)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5) ).
tff(f_66,hypothesis,
! [E] :
( ( environment(E)
& stable(E) )
=> ? [To] :
( in_environment(E,To)
& ~ greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To))
& ! [T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& greater(T,To) )
=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12) ).
tff(f_47,hypothesis,
! [E,To] :
( ( environment(E)
& ~ greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To))
& in_environment(E,To)
& ! [T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& greater(T,To) )
=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) )
=> ( To = critical_point(E) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).
tff(c_18,plain,
environment('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_16,plain,
stable('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_12,plain,
! [E_4] :
( in_environment(E_4,'#skF_2'(E_4))
| ~ stable(E_4)
| ~ environment(E_4) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_35,plain,
! [E_18,To_19] :
( subpopulations(first_movers,efficient_producers,E_18,'#skF_1'(E_18,To_19))
| ( critical_point(E_18) = To_19 )
| ~ in_environment(E_18,To_19)
| greater(growth_rate(efficient_producers,To_19),growth_rate(first_movers,To_19))
| ~ environment(E_18) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_10,plain,
! [E_4] :
( ~ greater(growth_rate(efficient_producers,'#skF_2'(E_4)),growth_rate(first_movers,'#skF_2'(E_4)))
| ~ stable(E_4)
| ~ environment(E_4) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_39,plain,
! [E_4,E_18] :
( ~ stable(E_4)
| ~ environment(E_4)
| subpopulations(first_movers,efficient_producers,E_18,'#skF_1'(E_18,'#skF_2'(E_4)))
| ( critical_point(E_18) = '#skF_2'(E_4) )
| ~ in_environment(E_18,'#skF_2'(E_4))
| ~ environment(E_18) ),
inference(resolution,[status(thm)],[c_35,c_10]) ).
tff(c_21,plain,
! [E_12,To_13] :
( greater('#skF_1'(E_12,To_13),To_13)
| ( critical_point(E_12) = To_13 )
| ~ in_environment(E_12,To_13)
| greater(growth_rate(efficient_producers,To_13),growth_rate(first_movers,To_13))
| ~ environment(E_12) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_31,plain,
! [E_16,E_17] :
( ~ stable(E_16)
| ~ environment(E_16)
| greater('#skF_1'(E_17,'#skF_2'(E_16)),'#skF_2'(E_16))
| ( critical_point(E_17) = '#skF_2'(E_16) )
| ~ in_environment(E_17,'#skF_2'(E_16))
| ~ environment(E_17) ),
inference(resolution,[status(thm)],[c_21,c_10]) ).
tff(c_8,plain,
! [T_9,E_4] :
( greater(growth_rate(efficient_producers,T_9),growth_rate(first_movers,T_9))
| ~ greater(T_9,'#skF_2'(E_4))
| ~ subpopulations(first_movers,efficient_producers,E_4,T_9)
| ~ stable(E_4)
| ~ environment(E_4) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_50,plain,
! [E_24,E_25] :
( greater(growth_rate(efficient_producers,'#skF_1'(E_24,'#skF_2'(E_25))),growth_rate(first_movers,'#skF_1'(E_24,'#skF_2'(E_25))))
| ~ subpopulations(first_movers,efficient_producers,E_25,'#skF_1'(E_24,'#skF_2'(E_25)))
| ~ stable(E_25)
| ~ environment(E_25)
| ( critical_point(E_24) = '#skF_2'(E_25) )
| ~ in_environment(E_24,'#skF_2'(E_25))
| ~ environment(E_24) ),
inference(resolution,[status(thm)],[c_31,c_8]) ).
tff(c_2,plain,
! [E_1,To_2] :
( ~ greater(growth_rate(efficient_producers,'#skF_1'(E_1,To_2)),growth_rate(first_movers,'#skF_1'(E_1,To_2)))
| ( critical_point(E_1) = To_2 )
| ~ in_environment(E_1,To_2)
| greater(growth_rate(efficient_producers,To_2),growth_rate(first_movers,To_2))
| ~ environment(E_1) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_55,plain,
! [E_26,E_27] :
( greater(growth_rate(efficient_producers,'#skF_2'(E_26)),growth_rate(first_movers,'#skF_2'(E_26)))
| ~ subpopulations(first_movers,efficient_producers,E_26,'#skF_1'(E_27,'#skF_2'(E_26)))
| ~ stable(E_26)
| ~ environment(E_26)
| ( critical_point(E_27) = '#skF_2'(E_26) )
| ~ in_environment(E_27,'#skF_2'(E_26))
| ~ environment(E_27) ),
inference(resolution,[status(thm)],[c_50,c_2]) ).
tff(c_64,plain,
! [E_28] :
( greater(growth_rate(efficient_producers,'#skF_2'(E_28)),growth_rate(first_movers,'#skF_2'(E_28)))
| ~ stable(E_28)
| ( critical_point(E_28) = '#skF_2'(E_28) )
| ~ in_environment(E_28,'#skF_2'(E_28))
| ~ environment(E_28) ),
inference(resolution,[status(thm)],[c_39,c_55]) ).
tff(c_69,plain,
! [E_29] :
( ~ stable(E_29)
| ( critical_point(E_29) = '#skF_2'(E_29) )
| ~ in_environment(E_29,'#skF_2'(E_29))
| ~ environment(E_29) ),
inference(resolution,[status(thm)],[c_64,c_10]) ).
tff(c_83,plain,
! [E_33] :
( ( critical_point(E_33) = '#skF_2'(E_33) )
| ~ stable(E_33)
| ~ environment(E_33) ),
inference(resolution,[status(thm)],[c_12,c_69]) ).
tff(c_86,plain,
( ( critical_point('#skF_3') = '#skF_2'('#skF_3') )
| ~ environment('#skF_3') ),
inference(resolution,[status(thm)],[c_16,c_83]) ).
tff(c_89,plain,
critical_point('#skF_3') = '#skF_2'('#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_86]) ).
tff(c_14,plain,
~ in_environment('#skF_3',critical_point('#skF_3')),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_90,plain,
~ in_environment('#skF_3','#skF_2'('#skF_3')),
inference(demodulation,[status(thm),theory(equality)],[c_89,c_14]) ).
tff(c_97,plain,
( ~ stable('#skF_3')
| ~ environment('#skF_3') ),
inference(resolution,[status(thm)],[c_12,c_90]) ).
tff(c_101,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18,c_16,c_97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT023+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % 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
% 0.17/0.34 % Computer : n026.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 3 20:49:01 EDT 2023
% 0.17/0.35 % CPUTime :
% 2.98/1.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.21/1.88
% 3.21/1.88 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.23/1.91
% 3.23/1.91 Inference rules
% 3.23/1.91 ----------------------
% 3.23/1.91 #Ref : 0
% 3.23/1.91 #Sup : 17
% 3.23/1.91 #Fact : 0
% 3.23/1.91 #Define : 0
% 3.23/1.91 #Split : 0
% 3.23/1.91 #Chain : 0
% 3.23/1.91 #Close : 0
% 3.23/1.91
% 3.23/1.91 Ordering : KBO
% 3.23/1.91
% 3.23/1.91 Simplification rules
% 3.23/1.91 ----------------------
% 3.23/1.91 #Subsume : 2
% 3.23/1.91 #Demod : 4
% 3.23/1.91 #Tautology : 2
% 3.23/1.91 #SimpNegUnit : 0
% 3.23/1.91 #BackRed : 1
% 3.23/1.91
% 3.23/1.91 #Partial instantiations: 0
% 3.23/1.91 #Strategies tried : 1
% 3.23/1.91
% 3.23/1.91 Timing (in seconds)
% 3.23/1.91 ----------------------
% 3.23/1.91 Preprocessing : 0.45
% 3.23/1.91 Parsing : 0.26
% 3.23/1.91 CNF conversion : 0.03
% 3.23/1.91 Main loop : 0.28
% 3.23/1.91 Inferencing : 0.13
% 3.23/1.91 Reduction : 0.05
% 3.23/1.91 Demodulation : 0.04
% 3.23/1.91 BG Simplification : 0.01
% 3.23/1.91 Subsumption : 0.06
% 3.23/1.91 Abstraction : 0.01
% 3.23/1.91 MUC search : 0.00
% 3.23/1.91 Cooper : 0.00
% 3.23/1.91 Total : 0.78
% 3.23/1.91 Index Insertion : 0.00
% 3.23/1.91 Index Deletion : 0.00
% 3.23/1.91 Index Matching : 0.00
% 3.23/1.91 BG Taut test : 0.00
%------------------------------------------------------------------------------