%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT039-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:01:19 AM UTC 2026
% Result : Unsatisfiable 31.92s 5.13s
% Output : CNFRefutation 31.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 26
% Syntax : Number of clauses : 142 ( 27 unt; 55 nHn; 141 RR)
% Number of literals : 408 ( 13 equ; 198 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 118 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp1_high_growth_rates_33,axiom,
( 'selection$ufavors'(X2,X1,X3)
| ~ greater('growth$urate'(X2,X3),'growth$urate'(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ) ).
cnf(mp2_favour_members_34,axiom,
( 'selection$ufavors'(X1,X3,X2)
| 'cardinality$uat$utime'(X3,X2) != zero
| ~ greater('cardinality$uat$utime'(X1,X2),zero)
| ~ subpopulation(X3,X0,X2)
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0) ) ).
cnf(mp3_favoured_trategy_35,axiom,
( 'selection$ufavors'('efficient$uproducers','first$umovers',X0)
| environment(sk1(X0))
| ~ 'propagation$ustrategy'('efficient$uproducers')
| ~ 'propagation$ustrategy'('first$umovers')
| ~ 'observational$uperiod'(X0) ) ).
cnf(mp3_favoured_trategy_36,axiom,
( 'selection$ufavors'('efficient$uproducers','first$umovers',X0)
| 'in$uenvironment'(X0,sk1(X0))
| ~ 'propagation$ustrategy'('efficient$uproducers')
| ~ 'propagation$ustrategy'('first$umovers')
| ~ 'observational$uperiod'(X0) ) ).
cnf(mp3_favoured_trategy_37,axiom,
( 'selection$ufavors'('efficient$uproducers','first$umovers',X0)
| ~ 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(X0)))
| ~ 'propagation$ustrategy'('efficient$uproducers')
| ~ 'propagation$ustrategy'('first$umovers')
| ~ 'observational$uperiod'(X0) ) ).
cnf(mp4_critical_point_38,axiom,
( 'in$uenvironment'(X1,sk2(X1,X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X1)
| ~ 'slow$uchange'(X0)
| ~ 'observational$uperiod'(X0) ) ).
cnf(mp4_critical_point_39,axiom,
( greater(sk2(X1,X0),'critical$upoint'(X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X1)
| ~ 'slow$uchange'(X0)
| ~ 'observational$uperiod'(X0) ) ).
cnf(mp_organizational_sets1_40,axiom,
'propagation$ustrategy'('first$umovers') ).
cnf(mp_organizational_sets2_41,axiom,
'propagation$ustrategy'('efficient$uproducers') ).
cnf(mp_time_in_environment_42,axiom,
( 'in$uenvironment'(X0,X1)
| ~ 'greater$uor$uequal'('end$utime'(X0),X1)
| ~ 'greater$uor$uequal'(X1,'start$utime'(X0))
| ~ environment(X0) ) ).
cnf(mp_environment_end_point_43,axiom,
( 'greater$uor$uequal'('end$utime'(X0),X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_contains_FM_and_EP_44,axiom,
( subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ greater('cardinality$uat$utime'('efficient$uproducers',X1),zero)
| ~ greater('cardinality$uat$utime'('first$umovers',X1),zero)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_first_movers_exist_45,axiom,
( 'greater$uor$uequal'('cardinality$uat$utime'('first$umovers',X1),zero)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_subpopulations_46,axiom,
( subpopulation('first$umovers',X0,X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_subpopulations_47,axiom,
( subpopulation('efficient$uproducers',X0,X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_critical_point_after_EP_48,axiom,
( 'greater$uor$uequal'('critical$upoint'(X0),appear('efficient$uproducers',X0))
| ~ environment(X0) ) ).
cnf(mp_time_of_critical_point_49,axiom,
( 'greater$uor$uequal'('critical$upoint'(X0),'start$utime'(X0))
| ~ environment(X0) ) ).
cnf(mp_greater_transitivity_50,axiom,
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ) ).
cnf(mp_greater_or_equal_52,axiom,
( X0 = X1
| greater(X0,X1)
| ~ 'greater$uor$uequal'(X0,X1) ) ).
cnf(mp_greater_or_equal_53,axiom,
( 'greater$uor$uequal'(X0,X1)
| ~ greater(X0,X1) ) ).
cnf(mp_greater_or_equal_54,axiom,
( 'greater$uor$uequal'(X0,X1)
| X0 != X1 ) ).
cnf(d1_56,hypothesis,
( greater('growth$urate'('efficient$uproducers',X2),'growth$urate'('first$umovers',X2))
| ~ greater(X2,X1)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X2)
| X1 != 'critical$upoint'(X0)
| ~ environment(X0) ) ).
cnf(t6_57,hypothesis,
( greater('cardinality$uat$utime'('efficient$uproducers',X1),zero)
| ~ 'greater$uor$uequal'(X1,appear('efficient$uproducers',X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(prove_t8_58,negated_conjecture,
'observational$uperiod'(sk3) ).
cnf(prove_t8_59,negated_conjecture,
'slow$uchange'(sk3) ).
cnf(prove_t8_60,negated_conjecture,
~ 'selection$ufavors'('efficient$uproducers','first$umovers',sk3) ).
cnf(c0,plain,
( 'selection$ufavors'(X0,X2,X1)
| ~ subpopulations(X2,X0,X3,X1)
| ~ environment(X3)
| ~ greater('growth$urate'(X0,X1),'growth$urate'(X2,X1)) ),
inference(clausification,[status(esa)],[mp1_high_growth_rates_33]) ).
cnf(c1,plain,
( 'selection$ufavors'(X3,X0,X2)
| ~ subpopulation(X3,X1,X2)
| 'cardinality$uat$utime'(X0,X2) != zero
| ~ environment(X1)
| ~ greater('cardinality$uat$utime'(X3,X2),zero)
| ~ subpopulation(X0,X1,X2) ),
inference(clausification,[status(esa)],[mp2_favour_members_34]) ).
cnf(c2,plain,
( ~ 'observational$uperiod'(X0)
| ~ 'propagation$ustrategy'('first$umovers')
| environment(sk1(X0))
| ~ 'propagation$ustrategy'('efficient$uproducers')
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0) ),
inference(clausification,[status(esa)],[mp3_favoured_trategy_35]) ).
cnf(c3,plain,
( ~ 'propagation$ustrategy'('first$umovers')
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0)
| 'in$uenvironment'(X0,sk1(X0))
| ~ 'observational$uperiod'(X0)
| ~ 'propagation$ustrategy'('efficient$uproducers') ),
inference(clausification,[status(esa)],[mp3_favoured_trategy_36]) ).
cnf(c4,plain,
( ~ 'observational$uperiod'(X0)
| ~ 'propagation$ustrategy'('first$umovers')
| ~ 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(X0)))
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0)
| ~ 'propagation$ustrategy'('efficient$uproducers') ),
inference(clausification,[status(esa)],[mp3_favoured_trategy_37]) ).
cnf(c5,plain,
( ~ 'observational$uperiod'(X1)
| ~ 'in$uenvironment'(X1,X0)
| ~ 'slow$uchange'(X1)
| 'in$uenvironment'(X0,sk2(X0,X1))
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp4_critical_point_38]) ).
cnf(c6,plain,
( greater(sk2(X1,X0),'critical$upoint'(X1))
| ~ environment(X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ 'slow$uchange'(X0)
| ~ 'observational$uperiod'(X0) ),
inference(clausification,[status(esa)],[mp4_critical_point_39]) ).
cnf(c7,plain,
'propagation$ustrategy'('first$umovers'),
inference(clausification,[status(esa)],[mp_organizational_sets1_40]) ).
cnf(c8,plain,
'propagation$ustrategy'('efficient$uproducers'),
inference(clausification,[status(esa)],[mp_organizational_sets2_41]) ).
cnf(c9,plain,
( 'in$uenvironment'(X0,X1)
| ~ 'greater$uor$uequal'(X1,'start$utime'(X0))
| ~ environment(X0)
| ~ 'greater$uor$uequal'('end$utime'(X0),X1) ),
inference(clausification,[status(esa)],[mp_time_in_environment_42]) ).
cnf(c10,plain,
( 'greater$uor$uequal'('end$utime'(X0),X1)
| ~ environment(X0)
| ~ 'in$uenvironment'(X0,X1) ),
inference(clausification,[status(esa)],[mp_environment_end_point_43]) ).
cnf(c11,plain,
( ~ environment(X0)
| ~ greater('cardinality$uat$utime'('first$umovers',X1),zero)
| ~ greater('cardinality$uat$utime'('efficient$uproducers',X1),zero)
| ~ 'in$uenvironment'(X0,X1)
| subpopulations('first$umovers','efficient$uproducers',X0,X1) ),
inference(clausification,[status(esa)],[mp_contains_FM_and_EP_44]) ).
cnf(c12,plain,
( 'greater$uor$uequal'('cardinality$uat$utime'('first$umovers',X1),zero)
| ~ environment(X0)
| ~ 'in$uenvironment'(X0,X1) ),
inference(clausification,[status(esa)],[mp_first_movers_exist_45]) ).
cnf(c13,plain,
( subpopulation('first$umovers',X0,X1)
| ~ environment(X0)
| ~ 'in$uenvironment'(X0,X1) ),
inference(clausification,[status(esa)],[mp_subpopulations_46]) ).
cnf(c14,plain,
( subpopulation('efficient$uproducers',X0,X1)
| ~ environment(X0)
| ~ 'in$uenvironment'(X0,X1) ),
inference(clausification,[status(esa)],[mp_subpopulations_47]) ).
cnf(c15,plain,
( 'greater$uor$uequal'('critical$upoint'(X0),appear('efficient$uproducers',X0))
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_critical_point_after_EP_48]) ).
cnf(c16,plain,
( 'greater$uor$uequal'('critical$upoint'(X0),'start$utime'(X0))
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_time_of_critical_point_49]) ).
cnf(c17,plain,
( greater(X2,X1)
| ~ greater(X2,X0)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[mp_greater_transitivity_50]) ).
cnf(c19,plain,
( X1 = X0
| ~ 'greater$uor$uequal'(X0,X1)
| greater(X0,X1) ),
inference(clausification,[status(esa)],[mp_greater_or_equal_52]) ).
cnf(c20,plain,
( 'greater$uor$uequal'(X0,X1)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[mp_greater_or_equal_53]) ).
cnf(c21,plain,
( 'greater$uor$uequal'(X1,X0)
| X0 != X1 ),
inference(clausification,[status(esa)],[mp_greater_or_equal_54]) ).
cnf(c23,plain,
( greater('growth$urate'('efficient$uproducers',X2),'growth$urate'('first$umovers',X2))
| ~ environment(X0)
| ~ greater(X2,X1)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X2)
| 'critical$upoint'(X0) != X1 ),
inference(clausification,[status(esa)],[d1_56]) ).
cnf(c24,plain,
( greater('cardinality$uat$utime'('efficient$uproducers',X0),zero)
| ~ 'in$uenvironment'(X1,X0)
| ~ environment(X1)
| ~ 'greater$uor$uequal'(X0,appear('efficient$uproducers',X1)) ),
inference(clausification,[status(esa)],[t6_57]) ).
cnf(c25,plain,
'observational$uperiod'(sk3),
inference(clausification,[status(esa)],[prove_t8_58]) ).
cnf(c26,plain,
'slow$uchange'(sk3),
inference(clausification,[status(esa)],[prove_t8_59]) ).
cnf(c27,plain,
~ 'selection$ufavors'('efficient$uproducers','first$umovers',sk3),
inference(clausification,[status(esa)],[prove_t8_60]) ).
cnf(d0,plain,
( ~ 'propagation$ustrategy'('efficient$uproducers')
| ~ 'observational$uperiod'(X0)
| ~ 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(X0)))
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0) ),
inference(resolution,[status(thm)],[c7,c4]) ).
cnf(d1,plain,
( ~ 'observational$uperiod'(X0)
| ~ 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(X0)))
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0) ),
inference(resolution,[status(thm)],[c8,d0]) ).
cnf(d2,plain,
( ~ 'propagation$ustrategy'('efficient$uproducers')
| ~ 'observational$uperiod'(X0)
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0)
| environment(sk1(X0)) ),
inference(resolution,[status(thm)],[c7,c2]) ).
cnf(d3,plain,
( ~ 'observational$uperiod'(X0)
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0)
| environment(sk1(X0)) ),
inference(resolution,[status(thm)],[c8,d2]) ).
cnf(d4,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers',sk3)
| environment(sk1(sk3)) ),
inference(resolution,[status(thm)],[d3,c25]) ).
cnf(d5,plain,
environment(sk1(sk3)),
inference(resolution,[status(thm)],[c27,d4]) ).
cnf(d6,plain,
( ~ 'greater$uor$uequal'(X0,appear('efficient$uproducers',sk1(sk3)))
| ~ 'in$uenvironment'(sk1(sk3),X0)
| greater('cardinality$uat$utime'('efficient$uproducers',X0),zero) ),
inference(resolution,[status(thm)],[c24,d5]) ).
cnf(d7,plain,
( ~ 'greater$uor$uequal'('end$utime'(sk1(sk3)),X0)
| ~ 'greater$uor$uequal'(X0,'start$utime'(sk1(sk3)))
| 'in$uenvironment'(sk1(sk3),X0) ),
inference(resolution,[status(thm)],[d5,c9]) ).
cnf(d8,plain,
( 'greater$uor$uequal'('end$utime'(sk1(sk3)),X0)
| ~ 'in$uenvironment'(sk1(sk3),X0) ),
inference(resolution,[status(thm)],[d5,c10]) ).
cnf(d9,plain,
( ~ 'slow$uchange'(X0)
| ~ 'in$uenvironment'(X0,sk1(sk3))
| ~ 'observational$uperiod'(X0)
| greater(sk2(sk1(sk3),X0),'critical$upoint'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d5,c6]) ).
cnf(d10,plain,
( ~ 'slow$uchange'(sk3)
| ~ 'in$uenvironment'(sk3,sk1(sk3))
| greater(sk2(sk1(sk3),sk3),'critical$upoint'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d9,c25]) ).
cnf(d11,plain,
( ~ 'in$uenvironment'(sk3,sk1(sk3))
| greater(sk2(sk1(sk3),sk3),'critical$upoint'(sk1(sk3))) ),
inference(resolution,[status(thm)],[c26,d10]) ).
cnf(d12,plain,
( 'in$uenvironment'(X0,sk1(X0))
| ~ 'propagation$ustrategy'('efficient$uproducers')
| ~ 'observational$uperiod'(X0)
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0) ),
inference(resolution,[status(thm)],[c7,c3]) ).
cnf(d13,plain,
( 'in$uenvironment'(X0,sk1(X0))
| ~ 'observational$uperiod'(X0)
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0) ),
inference(resolution,[status(thm)],[c8,d12]) ).
cnf(d14,plain,
( 'in$uenvironment'(sk3,sk1(sk3))
| 'selection$ufavors'('efficient$uproducers','first$umovers',sk3) ),
inference(resolution,[status(thm)],[d13,c25]) ).
cnf(d15,plain,
'in$uenvironment'(sk3,sk1(sk3)),
inference(resolution,[status(thm)],[c27,d14]) ).
cnf(d16,plain,
greater(sk2(sk1(sk3),sk3),'critical$upoint'(sk1(sk3))),
inference(resolution,[status(thm)],[d15,d11]) ).
cnf(d17,plain,
( ~ greater(X0,sk2(sk1(sk3),sk3))
| greater(X0,'critical$upoint'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d16,c17]) ).
cnf(d18,plain,
( ~ 'slow$uchange'(X0)
| ~ 'in$uenvironment'(X0,sk1(sk3))
| 'in$uenvironment'(sk1(sk3),sk2(sk1(sk3),X0))
| ~ 'observational$uperiod'(X0) ),
inference(resolution,[status(thm)],[d5,c5]) ).
cnf(d19,plain,
( ~ 'slow$uchange'(sk3)
| 'in$uenvironment'(sk1(sk3),sk2(sk1(sk3),sk3))
| ~ 'in$uenvironment'(sk3,sk1(sk3)) ),
inference(resolution,[status(thm)],[d18,c25]) ).
cnf(d20,plain,
( ~ 'in$uenvironment'(sk3,sk1(sk3))
| 'in$uenvironment'(sk1(sk3),sk2(sk1(sk3),sk3)) ),
inference(resolution,[status(thm)],[c26,d19]) ).
cnf(d21,plain,
'in$uenvironment'(sk1(sk3),sk2(sk1(sk3),sk3)),
inference(resolution,[status(thm)],[d15,d20]) ).
cnf(d22,plain,
'greater$uor$uequal'('end$utime'(sk1(sk3)),sk2(sk1(sk3),sk3)),
inference(resolution,[status(thm)],[d21,d8]) ).
cnf(d23,plain,
( greater('end$utime'(sk1(sk3)),sk2(sk1(sk3),sk3))
| sk2(sk1(sk3),sk3) = 'end$utime'(sk1(sk3)) ),
inference(resolution,[status(thm)],[d22,c19]) ).
cnf(d24,plain,
( greater('end$utime'(sk1(sk3)),sk2(sk1(sk3),sk3))
| greater('end$utime'(sk1(sk3)),'critical$upoint'(sk1(sk3))) ),
inference(superposition,[status(thm)],[d23,d16]) ).
cnf(d25,plain,
( greater('end$utime'(sk1(sk3)),'critical$upoint'(sk1(sk3)))
| greater('end$utime'(sk1(sk3)),'critical$upoint'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d24,d17]) ).
cnf(d26,plain,
'greater$uor$uequal'(X0,X0),
inference(equality_resolution,[status(thm)],[c21]) ).
cnf(d27,plain,
( ~ 'greater$uor$uequal'('end$utime'(sk1(sk3)),'start$utime'(sk1(sk3)))
| 'in$uenvironment'(sk1(sk3),'start$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d7,d26]) ).
cnf(d28,plain,
'greater$uor$uequal'('critical$upoint'(sk1(sk3)),'start$utime'(sk1(sk3))),
inference(resolution,[status(thm)],[d5,c16]) ).
cnf(d29,plain,
( greater('critical$upoint'(sk1(sk3)),'start$utime'(sk1(sk3)))
| 'start$utime'(sk1(sk3)) = 'critical$upoint'(sk1(sk3)) ),
inference(resolution,[status(thm)],[c19,d28]) ).
cnf(d30,plain,
( greater('critical$upoint'(sk1(sk3)),'start$utime'(sk1(sk3)))
| 'in$uenvironment'(sk1(sk3),'start$utime'(sk1(sk3)))
| ~ 'greater$uor$uequal'('end$utime'(sk1(sk3)),'critical$upoint'(sk1(sk3))) ),
inference(superposition,[status(thm)],[d29,d27]) ).
cnf(d31,plain,
'greater$uor$uequal'('end$utime'(sk1(sk3)),'critical$upoint'(sk1(sk3))),
inference(resolution,[status(thm)],[d25,c20]) ).
cnf(d32,plain,
( 'in$uenvironment'(sk1(sk3),'start$utime'(sk1(sk3)))
| greater('critical$upoint'(sk1(sk3)),'start$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d31,d30]) ).
cnf(d33,plain,
( ~ greater(X0,'critical$upoint'(sk1(sk3)))
| greater(X0,'start$utime'(sk1(sk3)))
| 'in$uenvironment'(sk1(sk3),'start$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d32,c17]) ).
cnf(d34,plain,
( 'in$uenvironment'(sk1(sk3),'start$utime'(sk1(sk3)))
| greater('end$utime'(sk1(sk3)),'start$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d33,d25]) ).
cnf(d35,plain,
( 'greater$uor$uequal'('end$utime'(sk1(sk3)),'start$utime'(sk1(sk3)))
| 'in$uenvironment'(sk1(sk3),'start$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d34,c20]) ).
cnf(d36,plain,
( 'greater$uor$uequal'('end$utime'(sk1(sk3)),'start$utime'(sk1(sk3)))
| 'greater$uor$uequal'('end$utime'(sk1(sk3)),'start$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d35,d8]) ).
cnf(d37,plain,
( ~ 'greater$uor$uequal'('end$utime'(sk1(sk3)),'end$utime'(sk1(sk3)))
| 'in$uenvironment'(sk1(sk3),'end$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d36,d7]) ).
cnf(d38,plain,
'in$uenvironment'(sk1(sk3),'end$utime'(sk1(sk3))),
inference(resolution,[status(thm)],[d26,d37]) ).
cnf(d39,plain,
( ~ 'greater$uor$uequal'('end$utime'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3)))
| greater('cardinality$uat$utime'('efficient$uproducers','end$utime'(sk1(sk3))),zero) ),
inference(resolution,[status(thm)],[d38,d6]) ).
cnf(d40,plain,
'greater$uor$uequal'('critical$upoint'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3))),
inference(resolution,[status(thm)],[c15,d5]) ).
cnf(d41,plain,
( greater('critical$upoint'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3)))
| appear('efficient$uproducers',sk1(sk3)) = 'critical$upoint'(sk1(sk3)) ),
inference(resolution,[status(thm)],[c19,d40]) ).
cnf(d42,plain,
( greater('critical$upoint'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3)))
| greater('cardinality$uat$utime'('efficient$uproducers','end$utime'(sk1(sk3))),zero)
| ~ 'greater$uor$uequal'('end$utime'(sk1(sk3)),'critical$upoint'(sk1(sk3))) ),
inference(superposition,[status(thm)],[d41,d39]) ).
cnf(d43,plain,
( greater('critical$upoint'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3)))
| greater('cardinality$uat$utime'('efficient$uproducers','end$utime'(sk1(sk3))),zero) ),
inference(resolution,[status(thm)],[d31,d42]) ).
cnf(d44,plain,
( ~ 'in$uenvironment'(X0,'end$utime'(sk1(sk3)))
| subpopulations('first$umovers','efficient$uproducers',X0,'end$utime'(sk1(sk3)))
| ~ environment(X0)
| ~ greater('cardinality$uat$utime'('first$umovers','end$utime'(sk1(sk3))),zero)
| greater('critical$upoint'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3))) ),
inference(resolution,[status(thm)],[d43,c11]) ).
cnf(d45,plain,
( 'greater$uor$uequal'('cardinality$uat$utime'('first$umovers',X0),zero)
| ~ 'in$uenvironment'(sk1(sk3),X0) ),
inference(resolution,[status(thm)],[c12,d5]) ).
cnf(d46,plain,
'greater$uor$uequal'('cardinality$uat$utime'('first$umovers','end$utime'(sk1(sk3))),zero),
inference(resolution,[status(thm)],[d38,d45]) ).
cnf(d47,plain,
( greater('cardinality$uat$utime'('first$umovers','end$utime'(sk1(sk3))),zero)
| zero = 'cardinality$uat$utime'('first$umovers','end$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d46,c19]) ).
cnf(d48,plain,
( greater('cardinality$uat$utime'('first$umovers','end$utime'(sk1(sk3))),zero)
| ~ subpopulation(X0,X1,'end$utime'(sk1(sk3)))
| ~ subpopulation('first$umovers',X1,'end$utime'(sk1(sk3)))
| 'selection$ufavors'(X0,'first$umovers','end$utime'(sk1(sk3)))
| ~ environment(X1)
| ~ greater('cardinality$uat$utime'(X0,'end$utime'(sk1(sk3))),zero)
| zero != zero ),
inference(superposition,[status(thm)],[d47,c1]) ).
cnf(d49,plain,
( ~ subpopulation('first$umovers',X1,'end$utime'(sk1(sk3)))
| ~ subpopulation(X0,X1,'end$utime'(sk1(sk3)))
| 'selection$ufavors'(X0,'first$umovers','end$utime'(sk1(sk3)))
| ~ environment(X1)
| greater('cardinality$uat$utime'('first$umovers','end$utime'(sk1(sk3))),zero)
| ~ greater('cardinality$uat$utime'(X0,'end$utime'(sk1(sk3))),zero) ),
inference(equality_resolution,[status(thm)],[d48]) ).
cnf(d50,plain,
( greater('critical$upoint'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3)))
| ~ subpopulation('first$umovers',X0,'end$utime'(sk1(sk3)))
| ~ subpopulation('efficient$uproducers',X0,'end$utime'(sk1(sk3)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| ~ environment(X0)
| greater('cardinality$uat$utime'('first$umovers','end$utime'(sk1(sk3))),zero) ),
inference(resolution,[status(thm)],[d49,d43]) ).
cnf(d51,plain,
( ~ subpopulation('first$umovers',sk1(sk3),'end$utime'(sk1(sk3)))
| ~ subpopulation('efficient$uproducers',sk1(sk3),'end$utime'(sk1(sk3)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| greater('critical$upoint'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3)))
| greater('cardinality$uat$utime'('first$umovers','end$utime'(sk1(sk3))),zero) ),
inference(resolution,[status(thm)],[d50,d5]) ).
cnf(d52,plain,
( ~ 'in$uenvironment'(sk1(sk3),X0)
| subpopulation('first$umovers',sk1(sk3),X0) ),
inference(resolution,[status(thm)],[c13,d5]) ).
cnf(d53,plain,
subpopulation('first$umovers',sk1(sk3),'end$utime'(sk1(sk3))),
inference(resolution,[status(thm)],[d38,d52]) ).
cnf(d54,plain,
( ~ subpopulation('efficient$uproducers',sk1(sk3),'end$utime'(sk1(sk3)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| greater('critical$upoint'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3)))
| greater('cardinality$uat$utime'('first$umovers','end$utime'(sk1(sk3))),zero) ),
inference(resolution,[status(thm)],[d53,d51]) ).
cnf(d55,plain,
( ~ 'in$uenvironment'(sk1(sk3),X0)
| subpopulation('efficient$uproducers',sk1(sk3),X0) ),
inference(resolution,[status(thm)],[c14,d5]) ).
cnf(d56,plain,
subpopulation('efficient$uproducers',sk1(sk3),'end$utime'(sk1(sk3))),
inference(resolution,[status(thm)],[d38,d55]) ).
cnf(d57,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| greater('critical$upoint'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3)))
| greater('cardinality$uat$utime'('first$umovers','end$utime'(sk1(sk3))),zero) ),
inference(resolution,[status(thm)],[d56,d54]) ).
cnf(d58,plain,
( ~ 'in$uenvironment'(X0,'end$utime'(sk1(sk3)))
| subpopulations('first$umovers','efficient$uproducers',X0,'end$utime'(sk1(sk3)))
| ~ environment(X0)
| greater('critical$upoint'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| greater('critical$upoint'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3))) ),
inference(resolution,[status(thm)],[d57,d44]) ).
cnf(d59,plain,
( ~ 'in$uenvironment'(sk1(sk3),'end$utime'(sk1(sk3)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| subpopulations('first$umovers','efficient$uproducers',sk1(sk3),'end$utime'(sk1(sk3)))
| greater('critical$upoint'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3))) ),
inference(resolution,[status(thm)],[d58,d5]) ).
cnf(d60,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| subpopulations('first$umovers','efficient$uproducers',sk1(sk3),'end$utime'(sk1(sk3)))
| greater('critical$upoint'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3))) ),
inference(resolution,[status(thm)],[d38,d59]) ).
cnf(d61,plain,
( ~ greater(X0,'critical$upoint'(sk1(sk3)))
| greater(X0,appear('efficient$uproducers',sk1(sk3)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| subpopulations('first$umovers','efficient$uproducers',sk1(sk3),'end$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d60,c17]) ).
cnf(d62,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| subpopulations('first$umovers','efficient$uproducers',sk1(sk3),'end$utime'(sk1(sk3)))
| greater('end$utime'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3))) ),
inference(resolution,[status(thm)],[d61,d25]) ).
cnf(d63,plain,
( 'greater$uor$uequal'('end$utime'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| subpopulations('first$umovers','efficient$uproducers',sk1(sk3),'end$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d62,c20]) ).
cnf(d64,plain,
( ~ subpopulations('first$umovers','efficient$uproducers',X1,X0)
| ~ environment(X1)
| greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| ~ greater(X0,'critical$upoint'(X1)) ),
inference(equality_resolution,[status(thm)],[c23]) ).
cnf(d65,plain,
( ~ subpopulations('first$umovers','efficient$uproducers',sk1(sk3),'end$utime'(sk1(sk3)))
| ~ environment(sk1(sk3))
| greater('growth$urate'('efficient$uproducers','end$utime'(sk1(sk3))),'growth$urate'('first$umovers','end$utime'(sk1(sk3)))) ),
inference(resolution,[status(thm)],[d25,d64]) ).
cnf(d66,plain,
( ~ subpopulations('first$umovers','efficient$uproducers',sk1(sk3),'end$utime'(sk1(sk3)))
| greater('growth$urate'('efficient$uproducers','end$utime'(sk1(sk3))),'growth$urate'('first$umovers','end$utime'(sk1(sk3)))) ),
inference(resolution,[status(thm)],[d5,d65]) ).
cnf(d67,plain,
( greater('growth$urate'('efficient$uproducers','end$utime'(sk1(sk3))),'growth$urate'('first$umovers','end$utime'(sk1(sk3))))
| 'greater$uor$uequal'('end$utime'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d63,d66]) ).
cnf(d68,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,'end$utime'(sk1(sk3)))
| ~ environment(X0)
| 'greater$uor$uequal'('end$utime'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d67,c0]) ).
cnf(d69,plain,
( 'greater$uor$uequal'('end$utime'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| ~ subpopulations('first$umovers','efficient$uproducers',sk1(sk3),'end$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d68,d5]) ).
cnf(d70,plain,
( 'greater$uor$uequal'('end$utime'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| 'greater$uor$uequal'('end$utime'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d69,d63]) ).
cnf(d71,plain,
( ~ 'observational$uperiod'(sk3)
| 'selection$ufavors'('efficient$uproducers','first$umovers',sk3)
| 'greater$uor$uequal'('end$utime'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3))) ),
inference(resolution,[status(thm)],[d70,d1]) ).
cnf(d72,plain,
( 'greater$uor$uequal'('end$utime'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3)))
| 'selection$ufavors'('efficient$uproducers','first$umovers',sk3) ),
inference(resolution,[status(thm)],[c25,d71]) ).
cnf(d73,plain,
'greater$uor$uequal'('end$utime'(sk1(sk3)),appear('efficient$uproducers',sk1(sk3))),
inference(resolution,[status(thm)],[c27,d72]) ).
cnf(d74,plain,
greater('cardinality$uat$utime'('efficient$uproducers','end$utime'(sk1(sk3))),zero),
inference(resolution,[status(thm)],[d73,d39]) ).
cnf(d75,plain,
( ~ 'in$uenvironment'(X0,'end$utime'(sk1(sk3)))
| subpopulations('first$umovers','efficient$uproducers',X0,'end$utime'(sk1(sk3)))
| ~ environment(X0)
| ~ greater('cardinality$uat$utime'('first$umovers','end$utime'(sk1(sk3))),zero) ),
inference(resolution,[status(thm)],[d74,c11]) ).
cnf(d76,plain,
( ~ subpopulation('first$umovers',X0,'end$utime'(sk1(sk3)))
| ~ subpopulation('efficient$uproducers',X0,'end$utime'(sk1(sk3)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| ~ environment(X0)
| greater('cardinality$uat$utime'('first$umovers','end$utime'(sk1(sk3))),zero) ),
inference(resolution,[status(thm)],[d74,d49]) ).
cnf(d77,plain,
( ~ subpopulation('first$umovers',sk1(sk3),'end$utime'(sk1(sk3)))
| ~ subpopulation('efficient$uproducers',sk1(sk3),'end$utime'(sk1(sk3)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| greater('cardinality$uat$utime'('first$umovers','end$utime'(sk1(sk3))),zero) ),
inference(resolution,[status(thm)],[d76,d5]) ).
cnf(d78,plain,
( ~ subpopulation('efficient$uproducers',sk1(sk3),'end$utime'(sk1(sk3)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| greater('cardinality$uat$utime'('first$umovers','end$utime'(sk1(sk3))),zero) ),
inference(resolution,[status(thm)],[d53,d77]) ).
cnf(d79,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| greater('cardinality$uat$utime'('first$umovers','end$utime'(sk1(sk3))),zero) ),
inference(resolution,[status(thm)],[d56,d78]) ).
cnf(d80,plain,
( ~ 'in$uenvironment'(X0,'end$utime'(sk1(sk3)))
| subpopulations('first$umovers','efficient$uproducers',X0,'end$utime'(sk1(sk3)))
| ~ environment(X0)
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d79,d75]) ).
cnf(d81,plain,
( ~ 'in$uenvironment'(sk1(sk3),'end$utime'(sk1(sk3)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| subpopulations('first$umovers','efficient$uproducers',sk1(sk3),'end$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d80,d5]) ).
cnf(d82,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| subpopulations('first$umovers','efficient$uproducers',sk1(sk3),'end$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d38,d81]) ).
cnf(d83,plain,
( greater('growth$urate'('efficient$uproducers','end$utime'(sk1(sk3))),'growth$urate'('first$umovers','end$utime'(sk1(sk3))))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d82,d66]) ).
cnf(d84,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,'end$utime'(sk1(sk3)))
| ~ environment(X0)
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d83,c0]) ).
cnf(d85,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| ~ subpopulations('first$umovers','efficient$uproducers',sk1(sk3),'end$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d84,d5]) ).
cnf(d86,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d85,d82]) ).
cnf(d87,plain,
( ~ 'observational$uperiod'(sk3)
| 'selection$ufavors'('efficient$uproducers','first$umovers',sk3) ),
inference(resolution,[status(thm)],[d86,d1]) ).
cnf(d88,plain,
'selection$ufavors'('efficient$uproducers','first$umovers',sk3),
inference(resolution,[status(thm)],[c25,d87]) ).
cnf(d89,plain,
$false,
inference(resolution,[status(thm)],[c27,d88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT039-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n005.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sat Sep 26 00:07:48 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.92/5.13 % SZS status Unsatisfiable for theBenchmark.p
% 31.92/5.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------