%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT039+2 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 : Theorem 27.13s 4.92s
% Output : CNFRefutation 27.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 18
% Syntax : Number of formulae : 134 ( 24 unt; 0 def)
% Number of atoms : 390 ( 12 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 402 ( 146 ~; 206 |; 30 &)
% ( 1 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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 : 108 ( 0 sgn 36 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp1_high_growth_rates,axiom,
! [X0,X1,X2,X3] :
( ( greater('growth$urate'(X2,X3),'growth$urate'(X1,X3))
& subpopulations(X1,X2,X0,X3)
& environment(X0) )
=> 'selection$ufavors'(X2,X1,X3) ) ).
fof(mp2_favour_members,axiom,
! [X0,X1,X2,X3] :
( ( 'cardinality$uat$utime'(X2,X3) = zero
& greater('cardinality$uat$utime'(X1,X3),zero)
& subpopulation(X2,X0,X3)
& subpopulation(X1,X0,X3)
& environment(X0) )
=> 'selection$ufavors'(X1,X2,X3) ) ).
fof(mp3_favoured_trategy,axiom,
! [X0] :
( ( ! [X1] :
( ( 'in$uenvironment'(X0,X1)
& environment(X1) )
=> 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(X1)) )
& 'propagation$ustrategy'('efficient$uproducers')
& 'propagation$ustrategy'('first$umovers')
& 'observational$uperiod'(X0) )
=> 'selection$ufavors'('efficient$uproducers','first$umovers',X0) ) ).
fof(mp4_critical_point,axiom,
! [X0] :
( ( 'slow$uchange'(X0)
& 'observational$uperiod'(X0) )
=> ! [X1] :
( ( 'in$uenvironment'(X0,X1)
& environment(X1) )
=> ? [X2] :
( greater(X2,'critical$upoint'(X1))
& 'in$uenvironment'(X1,X2) ) ) ) ).
fof(mp_organizational_sets1,axiom,
'propagation$ustrategy'('first$umovers') ).
fof(mp_organizational_sets2,axiom,
'propagation$ustrategy'('efficient$uproducers') ).
fof(mp_time_in_environment,axiom,
! [X0,X1] :
( ( 'greater$uor$uequal'('end$utime'(X0),X1)
& 'greater$uor$uequal'(X1,'start$utime'(X0))
& environment(X0) )
=> 'in$uenvironment'(X0,X1) ) ).
fof(mp_environment_end_point,axiom,
! [X0,X1] :
( ( 'in$uenvironment'(X0,X1)
& environment(X0) )
=> 'greater$uor$uequal'('end$utime'(X0),X1) ) ).
fof(mp_contains_FM_and_EP,axiom,
! [X0,X1] :
( ( greater('cardinality$uat$utime'('efficient$uproducers',X1),zero)
& greater('cardinality$uat$utime'('first$umovers',X1),zero)
& 'in$uenvironment'(X0,X1)
& environment(X0) )
=> subpopulations('first$umovers','efficient$uproducers',X0,X1) ) ).
fof(mp_first_movers_exist,axiom,
! [X0,X1] :
( ( 'in$uenvironment'(X0,X1)
& environment(X0) )
=> 'greater$uor$uequal'('cardinality$uat$utime'('first$umovers',X1),zero) ) ).
fof(mp_subpopulations,axiom,
! [X0,X1] :
( ( 'in$uenvironment'(X0,X1)
& environment(X0) )
=> ( subpopulation('efficient$uproducers',X0,X1)
& subpopulation('first$umovers',X0,X1) ) ) ).
fof(mp_critical_point_after_EP,axiom,
! [X0] :
( environment(X0)
=> 'greater$uor$uequal'('critical$upoint'(X0),appear('efficient$uproducers',X0)) ) ).
fof(mp_time_of_critical_point,axiom,
! [X0] :
( environment(X0)
=> 'greater$uor$uequal'('critical$upoint'(X0),'start$utime'(X0)) ) ).
fof(mp_greater_transitivity,axiom,
! [X0,X1,X2] :
( ( greater(X1,X2)
& greater(X0,X1) )
=> greater(X0,X2) ) ).
fof(mp_greater_or_equal,axiom,
! [X0,X1] :
( 'greater$uor$uequal'(X0,X1)
<=> ( X0 = X1
| greater(X0,X1) ) ) ).
fof(d1,hypothesis,
! [X0,X1] :
( ( X1 = 'critical$upoint'(X0)
& environment(X0) )
=> ( ! [X2] :
( ( greater(X2,X1)
& subpopulations('first$umovers','efficient$uproducers',X0,X2) )
=> greater('growth$urate'('efficient$uproducers',X2),'growth$urate'('first$umovers',X2)) )
& ~ greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1)) ) ) ).
fof(t6,hypothesis,
! [X0,X1] :
( ( 'greater$uor$uequal'(X1,appear('efficient$uproducers',X0))
& 'in$uenvironment'(X0,X1)
& environment(X0) )
=> greater('cardinality$uat$utime'('efficient$uproducers',X1),zero) ) ).
fof(prove_t8,conjecture,
! [X0] :
( ( 'slow$uchange'(X0)
& 'observational$uperiod'(X0) )
=> 'selection$ufavors'('efficient$uproducers','first$umovers',X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( 'slow$uchange'(X0)
& 'observational$uperiod'(X0) )
=> 'selection$ufavors'('efficient$uproducers','first$umovers',X0) ),
inference(negate_conjecture,[status(cth)],[prove_t8]) ).
cnf(c0,plain,
( 'selection$ufavors'(X1,X0,X3)
| ~ environment(X2)
| ~ greater('growth$urate'(X1,X3),'growth$urate'(X0,X3))
| ~ subpopulations(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[mp1_high_growth_rates]) ).
cnf(c1,plain,
( ~ environment(X3)
| 'cardinality$uat$utime'(X1,X2) != zero
| ~ greater('cardinality$uat$utime'(X0,X2),zero)
| ~ subpopulation(X1,X3,X2)
| ~ subpopulation(X0,X3,X2)
| 'selection$ufavors'(X0,X1,X2) ),
inference(clausification,[status(esa)],[mp2_favour_members]) ).
cnf(c2,plain,
( ~ 'observational$uperiod'(X0)
| ~ 'propagation$ustrategy'('first$umovers')
| ~ 'propagation$ustrategy'('efficient$uproducers')
| 'in$uenvironment'(X0,sK9(X0))
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0) ),
inference(clausification,[status(esa)],[mp3_favoured_trategy]) ).
cnf(c3,plain,
( ~ 'observational$uperiod'(X0)
| environment(sK9(X0))
| ~ 'propagation$ustrategy'('first$umovers')
| ~ 'propagation$ustrategy'('efficient$uproducers')
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0) ),
inference(clausification,[status(esa)],[mp3_favoured_trategy]) ).
cnf(c4,plain,
( ~ 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(X0)))
| ~ 'observational$uperiod'(X0)
| ~ 'propagation$ustrategy'('first$umovers')
| ~ 'propagation$ustrategy'('efficient$uproducers')
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0) ),
inference(clausification,[status(esa)],[mp3_favoured_trategy]) ).
cnf(c5,plain,
( ~ 'slow$uchange'(X1)
| ~ 'observational$uperiod'(X1)
| 'in$uenvironment'(X0,sK12(X0))
| ~ 'in$uenvironment'(X1,X0)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp4_critical_point]) ).
cnf(c6,plain,
( ~ 'slow$uchange'(X1)
| ~ 'observational$uperiod'(X1)
| greater(sK12(X0),'critical$upoint'(X0))
| ~ 'in$uenvironment'(X1,X0)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp4_critical_point]) ).
cnf(c7,plain,
'propagation$ustrategy'('first$umovers'),
inference(clausification,[status(esa)],[mp_organizational_sets1]) ).
cnf(c8,plain,
'propagation$ustrategy'('efficient$uproducers'),
inference(clausification,[status(esa)],[mp_organizational_sets2]) ).
cnf(c9,plain,
( 'in$uenvironment'(X1,X0)
| ~ environment(X1)
| ~ 'greater$uor$uequal'('end$utime'(X1),X0)
| ~ 'greater$uor$uequal'(X0,'start$utime'(X1)) ),
inference(clausification,[status(esa)],[mp_time_in_environment]) ).
cnf(c10,plain,
( 'greater$uor$uequal'('end$utime'(X0),X1)
| ~ environment(X0)
| ~ 'in$uenvironment'(X0,X1) ),
inference(clausification,[status(esa)],[mp_environment_end_point]) ).
cnf(c11,plain,
( ~ 'in$uenvironment'(X0,X1)
| subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ greater('cardinality$uat$utime'('efficient$uproducers',X1),zero)
| ~ greater('cardinality$uat$utime'('first$umovers',X1),zero)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_contains_FM_and_EP]) ).
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]) ).
cnf(c13,plain,
( subpopulation('first$umovers',X0,X1)
| ~ environment(X0)
| ~ 'in$uenvironment'(X0,X1) ),
inference(clausification,[status(esa)],[mp_subpopulations]) ).
cnf(c14,plain,
( subpopulation('efficient$uproducers',X0,X1)
| ~ environment(X0)
| ~ 'in$uenvironment'(X0,X1) ),
inference(clausification,[status(esa)],[mp_subpopulations]) ).
cnf(c15,plain,
( 'greater$uor$uequal'('critical$upoint'(X0),appear('efficient$uproducers',X0))
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_critical_point_after_EP]) ).
cnf(c16,plain,
( 'greater$uor$uequal'('critical$upoint'(X0),'start$utime'(X0))
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_time_of_critical_point]) ).
cnf(c17,plain,
( greater(X2,X1)
| ~ greater(X2,X0)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[mp_greater_transitivity]) ).
cnf(c19,plain,
( greater(X0,X1)
| X1 = X0
| ~ 'greater$uor$uequal'(X0,X1) ),
inference(clausification,[status(esa)],[mp_greater_or_equal]) ).
cnf(c20,plain,
( ~ greater(X0,X1)
| 'greater$uor$uequal'(X0,X1) ),
inference(clausification,[status(esa)],[mp_greater_or_equal]) ).
cnf(c21,plain,
( X1 != X0
| 'greater$uor$uequal'(X0,X1) ),
inference(clausification,[status(esa)],[mp_greater_or_equal]) ).
cnf(c23,plain,
( 'critical$upoint'(X1) != X2
| ~ subpopulations('first$umovers','efficient$uproducers',X1,X0)
| ~ greater(X0,X2)
| ~ environment(X1)
| greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0)) ),
inference(clausification,[status(esa)],[d1]) ).
cnf(c24,plain,
( greater('cardinality$uat$utime'('efficient$uproducers',X1),zero)
| ~ environment(X0)
| ~ 'greater$uor$uequal'(X1,appear('efficient$uproducers',X0))
| ~ 'in$uenvironment'(X0,X1) ),
inference(clausification,[status(esa)],[t6]) ).
cnf(c25,plain,
'slow$uchange'(sK37),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c26,plain,
'observational$uperiod'(sK37),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c27,plain,
~ 'selection$ufavors'('efficient$uproducers','first$umovers',sK37),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d_0,plain,
( ~ 'propagation$ustrategy'('efficient$uproducers')
| ~ 'observational$uperiod'(X0)
| ~ 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(X0)))
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0) ),
inference(resolution,[status(thm)],[c7,c4]) ).
cnf(d_1,plain,
( ~ 'observational$uperiod'(X0)
| ~ 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(X0)))
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0) ),
inference(resolution,[status(thm)],[c8,d_0]) ).
cnf(d_2,plain,
( ~ 'propagation$ustrategy'('efficient$uproducers')
| ~ 'observational$uperiod'(X0)
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0)
| environment(sK9(X0)) ),
inference(resolution,[status(thm)],[c7,c3]) ).
cnf(d_3,plain,
( ~ 'propagation$ustrategy'('efficient$uproducers')
| 'selection$ufavors'('efficient$uproducers','first$umovers',sK37)
| environment(sK9(sK37)) ),
inference(resolution,[status(thm)],[d_2,c26]) ).
cnf(d_4,plain,
( ~ 'propagation$ustrategy'('efficient$uproducers')
| environment(sK9(sK37)) ),
inference(resolution,[status(thm)],[c27,d_3]) ).
cnf(d_5,plain,
environment(sK9(sK37)),
inference(resolution,[status(thm)],[c8,d_4]) ).
cnf(d_6,plain,
( ~ 'greater$uor$uequal'(X0,appear('efficient$uproducers',sK9(sK37)))
| ~ 'in$uenvironment'(sK9(sK37),X0)
| greater('cardinality$uat$utime'('efficient$uproducers',X0),zero) ),
inference(resolution,[status(thm)],[c24,d_5]) ).
cnf(d_7,plain,
( ~ 'greater$uor$uequal'('end$utime'(sK9(sK37)),X0)
| ~ 'greater$uor$uequal'(X0,'start$utime'(sK9(sK37)))
| 'in$uenvironment'(sK9(sK37),X0) ),
inference(resolution,[status(thm)],[c9,d_5]) ).
cnf(d_8,plain,
( 'greater$uor$uequal'('end$utime'(sK9(sK37)),X0)
| ~ 'in$uenvironment'(sK9(sK37),X0) ),
inference(resolution,[status(thm)],[c10,d_5]) ).
cnf(d_9,plain,
( ~ 'slow$uchange'(X0)
| ~ 'in$uenvironment'(X0,sK9(sK37))
| ~ 'observational$uperiod'(X0)
| greater(sK12(sK9(sK37)),'critical$upoint'(sK9(sK37))) ),
inference(resolution,[status(thm)],[c6,d_5]) ).
cnf(d_10,plain,
( ~ 'slow$uchange'(sK37)
| ~ 'in$uenvironment'(sK37,sK9(sK37))
| greater(sK12(sK9(sK37)),'critical$upoint'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_9,c26]) ).
cnf(d_11,plain,
( ~ 'in$uenvironment'(sK37,sK9(sK37))
| greater(sK12(sK9(sK37)),'critical$upoint'(sK9(sK37))) ),
inference(resolution,[status(thm)],[c25,d_10]) ).
cnf(d_12,plain,
( 'in$uenvironment'(sK37,sK9(sK37))
| ~ 'propagation$ustrategy'('first$umovers')
| ~ 'propagation$ustrategy'('efficient$uproducers')
| 'selection$ufavors'('efficient$uproducers','first$umovers',sK37) ),
inference(resolution,[status(thm)],[c2,c26]) ).
cnf(d_13,plain,
( 'in$uenvironment'(sK37,sK9(sK37))
| ~ 'propagation$ustrategy'('first$umovers')
| ~ 'propagation$ustrategy'('efficient$uproducers') ),
inference(resolution,[status(thm)],[c27,d_12]) ).
cnf(d_14,plain,
( 'in$uenvironment'(sK37,sK9(sK37))
| ~ 'propagation$ustrategy'('efficient$uproducers') ),
inference(resolution,[status(thm)],[c7,d_13]) ).
cnf(d_15,plain,
'in$uenvironment'(sK37,sK9(sK37)),
inference(resolution,[status(thm)],[c8,d_14]) ).
cnf(d_16,plain,
greater(sK12(sK9(sK37)),'critical$upoint'(sK9(sK37))),
inference(resolution,[status(thm)],[d_15,d_11]) ).
cnf(d_17,plain,
( ~ 'slow$uchange'(X0)
| ~ 'in$uenvironment'(X0,sK9(sK37))
| 'in$uenvironment'(sK9(sK37),sK12(sK9(sK37)))
| ~ 'observational$uperiod'(X0) ),
inference(resolution,[status(thm)],[d_5,c5]) ).
cnf(d_18,plain,
( ~ 'slow$uchange'(sK37)
| 'in$uenvironment'(sK9(sK37),sK12(sK9(sK37)))
| ~ 'in$uenvironment'(sK37,sK9(sK37)) ),
inference(resolution,[status(thm)],[d_17,c26]) ).
cnf(d_19,plain,
( ~ 'in$uenvironment'(sK37,sK9(sK37))
| 'in$uenvironment'(sK9(sK37),sK12(sK9(sK37))) ),
inference(resolution,[status(thm)],[c25,d_18]) ).
cnf(d_20,plain,
'in$uenvironment'(sK9(sK37),sK12(sK9(sK37))),
inference(resolution,[status(thm)],[d_15,d_19]) ).
cnf(d_21,plain,
'greater$uor$uequal'('end$utime'(sK9(sK37)),sK12(sK9(sK37))),
inference(resolution,[status(thm)],[d_20,d_8]) ).
cnf(d_22,plain,
( greater('end$utime'(sK9(sK37)),sK12(sK9(sK37)))
| sK12(sK9(sK37)) = 'end$utime'(sK9(sK37)) ),
inference(resolution,[status(thm)],[c19,d_21]) ).
cnf(d_23,plain,
( greater('end$utime'(sK9(sK37)),sK12(sK9(sK37)))
| greater('end$utime'(sK9(sK37)),'critical$upoint'(sK9(sK37))) ),
inference(superposition,[status(thm)],[d_22,d_16]) ).
cnf(d_24,plain,
( ~ greater(sK12(sK9(sK37)),X0)
| greater('end$utime'(sK9(sK37)),X0)
| greater('end$utime'(sK9(sK37)),'critical$upoint'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_23,c17]) ).
cnf(d_25,plain,
( greater('end$utime'(sK9(sK37)),'critical$upoint'(sK9(sK37)))
| greater('end$utime'(sK9(sK37)),'critical$upoint'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_24,d_16]) ).
cnf(d_26,plain,
( ~ greater('critical$upoint'(sK9(sK37)),X0)
| greater('end$utime'(sK9(sK37)),X0) ),
inference(resolution,[status(thm)],[d_25,c17]) ).
cnf(d_27,plain,
'greater$uor$uequal'(X0,X0),
inference(equality_resolution,[status(thm)],[c21]) ).
cnf(d_28,plain,
( ~ 'greater$uor$uequal'('end$utime'(sK9(sK37)),'start$utime'(sK9(sK37)))
| 'in$uenvironment'(sK9(sK37),'start$utime'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_27,d_7]) ).
cnf(d_29,plain,
'greater$uor$uequal'('critical$upoint'(sK9(sK37)),'start$utime'(sK9(sK37))),
inference(resolution,[status(thm)],[c16,d_5]) ).
cnf(d_30,plain,
( greater('critical$upoint'(sK9(sK37)),'start$utime'(sK9(sK37)))
| 'start$utime'(sK9(sK37)) = 'critical$upoint'(sK9(sK37)) ),
inference(resolution,[status(thm)],[c19,d_29]) ).
cnf(d_31,plain,
( greater('critical$upoint'(sK9(sK37)),'start$utime'(sK9(sK37)))
| 'in$uenvironment'(sK9(sK37),'start$utime'(sK9(sK37)))
| ~ 'greater$uor$uequal'('end$utime'(sK9(sK37)),'critical$upoint'(sK9(sK37))) ),
inference(superposition,[status(thm)],[d_30,d_28]) ).
cnf(d_32,plain,
'greater$uor$uequal'('end$utime'(sK9(sK37)),'critical$upoint'(sK9(sK37))),
inference(resolution,[status(thm)],[d_25,c20]) ).
cnf(d_33,plain,
( 'in$uenvironment'(sK9(sK37),'start$utime'(sK9(sK37)))
| greater('critical$upoint'(sK9(sK37)),'start$utime'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_32,d_31]) ).
cnf(d_34,plain,
( greater('end$utime'(sK9(sK37)),'start$utime'(sK9(sK37)))
| 'in$uenvironment'(sK9(sK37),'start$utime'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_33,d_26]) ).
cnf(d_35,plain,
( 'greater$uor$uequal'('end$utime'(sK9(sK37)),'start$utime'(sK9(sK37)))
| 'in$uenvironment'(sK9(sK37),'start$utime'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_34,c20]) ).
cnf(d_36,plain,
( 'greater$uor$uequal'('end$utime'(sK9(sK37)),'start$utime'(sK9(sK37)))
| 'greater$uor$uequal'('end$utime'(sK9(sK37)),'start$utime'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_35,d_8]) ).
cnf(d_37,plain,
( ~ 'greater$uor$uequal'('end$utime'(sK9(sK37)),'end$utime'(sK9(sK37)))
| 'in$uenvironment'(sK9(sK37),'end$utime'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_36,d_7]) ).
cnf(d_38,plain,
'in$uenvironment'(sK9(sK37),'end$utime'(sK9(sK37))),
inference(resolution,[status(thm)],[d_27,d_37]) ).
cnf(d_39,plain,
( ~ 'greater$uor$uequal'('end$utime'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37)))
| greater('cardinality$uat$utime'('efficient$uproducers','end$utime'(sK9(sK37))),zero) ),
inference(resolution,[status(thm)],[d_38,d_6]) ).
cnf(d_40,plain,
'greater$uor$uequal'('critical$upoint'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37))),
inference(resolution,[status(thm)],[c15,d_5]) ).
cnf(d_41,plain,
( greater('critical$upoint'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37)))
| appear('efficient$uproducers',sK9(sK37)) = 'critical$upoint'(sK9(sK37)) ),
inference(resolution,[status(thm)],[c19,d_40]) ).
cnf(d_42,plain,
( greater('critical$upoint'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37)))
| greater('cardinality$uat$utime'('efficient$uproducers','end$utime'(sK9(sK37))),zero)
| ~ 'greater$uor$uequal'('end$utime'(sK9(sK37)),'critical$upoint'(sK9(sK37))) ),
inference(superposition,[status(thm)],[d_41,d_39]) ).
cnf(d_43,plain,
( greater('critical$upoint'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37)))
| greater('cardinality$uat$utime'('efficient$uproducers','end$utime'(sK9(sK37))),zero) ),
inference(resolution,[status(thm)],[d_32,d_42]) ).
cnf(d_44,plain,
( ~ 'in$uenvironment'(X0,'end$utime'(sK9(sK37)))
| subpopulations('first$umovers','efficient$uproducers',X0,'end$utime'(sK9(sK37)))
| ~ environment(X0)
| ~ greater('cardinality$uat$utime'('first$umovers','end$utime'(sK9(sK37))),zero)
| greater('critical$upoint'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37))) ),
inference(resolution,[status(thm)],[d_43,c11]) ).
cnf(d_45,plain,
( 'greater$uor$uequal'('cardinality$uat$utime'('first$umovers',X0),zero)
| ~ 'in$uenvironment'(sK9(sK37),X0) ),
inference(resolution,[status(thm)],[c12,d_5]) ).
cnf(d_46,plain,
'greater$uor$uequal'('cardinality$uat$utime'('first$umovers','end$utime'(sK9(sK37))),zero),
inference(resolution,[status(thm)],[d_38,d_45]) ).
cnf(d_47,plain,
( greater('cardinality$uat$utime'('first$umovers','end$utime'(sK9(sK37))),zero)
| zero = 'cardinality$uat$utime'('first$umovers','end$utime'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_46,c19]) ).
cnf(d_48,plain,
( greater('cardinality$uat$utime'('first$umovers','end$utime'(sK9(sK37))),zero)
| ~ subpopulation(X0,X1,'end$utime'(sK9(sK37)))
| ~ subpopulation('first$umovers',X1,'end$utime'(sK9(sK37)))
| 'selection$ufavors'(X0,'first$umovers','end$utime'(sK9(sK37)))
| ~ environment(X1)
| ~ greater('cardinality$uat$utime'(X0,'end$utime'(sK9(sK37))),zero)
| zero != zero ),
inference(superposition,[status(thm)],[d_47,c1]) ).
cnf(d_49,plain,
( ~ subpopulation('first$umovers',X1,'end$utime'(sK9(sK37)))
| ~ subpopulation(X0,X1,'end$utime'(sK9(sK37)))
| 'selection$ufavors'(X0,'first$umovers','end$utime'(sK9(sK37)))
| ~ environment(X1)
| greater('cardinality$uat$utime'('first$umovers','end$utime'(sK9(sK37))),zero)
| ~ greater('cardinality$uat$utime'(X0,'end$utime'(sK9(sK37))),zero) ),
inference(equality_resolution,[status(thm)],[d_48]) ).
cnf(d_50,plain,
( greater('critical$upoint'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37)))
| ~ subpopulation('first$umovers',X0,'end$utime'(sK9(sK37)))
| ~ subpopulation('efficient$uproducers',X0,'end$utime'(sK9(sK37)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37)))
| ~ environment(X0)
| greater('cardinality$uat$utime'('first$umovers','end$utime'(sK9(sK37))),zero) ),
inference(resolution,[status(thm)],[d_49,d_43]) ).
cnf(d_51,plain,
( ~ subpopulation('first$umovers',sK9(sK37),'end$utime'(sK9(sK37)))
| ~ subpopulation('efficient$uproducers',sK9(sK37),'end$utime'(sK9(sK37)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37)))
| greater('critical$upoint'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37)))
| greater('cardinality$uat$utime'('first$umovers','end$utime'(sK9(sK37))),zero) ),
inference(resolution,[status(thm)],[d_50,d_5]) ).
cnf(d_52,plain,
( ~ 'in$uenvironment'(sK9(sK37),X0)
| subpopulation('first$umovers',sK9(sK37),X0) ),
inference(resolution,[status(thm)],[c13,d_5]) ).
cnf(d_53,plain,
subpopulation('first$umovers',sK9(sK37),'end$utime'(sK9(sK37))),
inference(resolution,[status(thm)],[d_38,d_52]) ).
cnf(d_54,plain,
( ~ subpopulation('efficient$uproducers',sK9(sK37),'end$utime'(sK9(sK37)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37)))
| greater('critical$upoint'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37)))
| greater('cardinality$uat$utime'('first$umovers','end$utime'(sK9(sK37))),zero) ),
inference(resolution,[status(thm)],[d_53,d_51]) ).
cnf(d_55,plain,
( ~ 'in$uenvironment'(sK9(sK37),X0)
| subpopulation('efficient$uproducers',sK9(sK37),X0) ),
inference(resolution,[status(thm)],[c14,d_5]) ).
cnf(d_56,plain,
subpopulation('efficient$uproducers',sK9(sK37),'end$utime'(sK9(sK37))),
inference(resolution,[status(thm)],[d_38,d_55]) ).
cnf(d_57,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37)))
| greater('critical$upoint'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37)))
| greater('cardinality$uat$utime'('first$umovers','end$utime'(sK9(sK37))),zero) ),
inference(resolution,[status(thm)],[d_56,d_54]) ).
cnf(d_58,plain,
( ~ 'in$uenvironment'(X0,'end$utime'(sK9(sK37)))
| subpopulations('first$umovers','efficient$uproducers',X0,'end$utime'(sK9(sK37)))
| ~ environment(X0)
| greater('critical$upoint'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37)))
| greater('critical$upoint'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37))) ),
inference(resolution,[status(thm)],[d_57,d_44]) ).
cnf(d_59,plain,
( ~ 'in$uenvironment'(sK9(sK37),'end$utime'(sK9(sK37)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37)))
| subpopulations('first$umovers','efficient$uproducers',sK9(sK37),'end$utime'(sK9(sK37)))
| greater('critical$upoint'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37))) ),
inference(resolution,[status(thm)],[d_58,d_5]) ).
cnf(d_60,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37)))
| subpopulations('first$umovers','efficient$uproducers',sK9(sK37),'end$utime'(sK9(sK37)))
| greater('critical$upoint'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37))) ),
inference(resolution,[status(thm)],[d_38,d_59]) ).
cnf(d_61,plain,
( greater('end$utime'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37)))
| subpopulations('first$umovers','efficient$uproducers',sK9(sK37),'end$utime'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_60,d_26]) ).
cnf(d_62,plain,
( 'greater$uor$uequal'('end$utime'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37)))
| subpopulations('first$umovers','efficient$uproducers',sK9(sK37),'end$utime'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_61,c20]) ).
cnf(d_63,plain,
( ~ subpopulations('first$umovers','efficient$uproducers',X1,X0)
| ~ environment(X1)
| greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| ~ greater(X0,'critical$upoint'(X1)) ),
inference(equality_resolution,[status(thm)],[c23]) ).
cnf(d_64,plain,
( ~ subpopulations('first$umovers','efficient$uproducers',sK9(sK37),'end$utime'(sK9(sK37)))
| ~ environment(sK9(sK37))
| greater('growth$urate'('efficient$uproducers','end$utime'(sK9(sK37))),'growth$urate'('first$umovers','end$utime'(sK9(sK37)))) ),
inference(resolution,[status(thm)],[d_25,d_63]) ).
cnf(d_65,plain,
( ~ subpopulations('first$umovers','efficient$uproducers',sK9(sK37),'end$utime'(sK9(sK37)))
| greater('growth$urate'('efficient$uproducers','end$utime'(sK9(sK37))),'growth$urate'('first$umovers','end$utime'(sK9(sK37)))) ),
inference(resolution,[status(thm)],[d_5,d_64]) ).
cnf(d_66,plain,
( greater('growth$urate'('efficient$uproducers','end$utime'(sK9(sK37))),'growth$urate'('first$umovers','end$utime'(sK9(sK37))))
| 'greater$uor$uequal'('end$utime'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_62,d_65]) ).
cnf(d_67,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37)))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,'end$utime'(sK9(sK37)))
| ~ environment(X0)
| 'greater$uor$uequal'('end$utime'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_66,c0]) ).
cnf(d_68,plain,
( 'greater$uor$uequal'('end$utime'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37)))
| ~ subpopulations('first$umovers','efficient$uproducers',sK9(sK37),'end$utime'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_67,d_5]) ).
cnf(d_69,plain,
( 'greater$uor$uequal'('end$utime'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37)))
| 'greater$uor$uequal'('end$utime'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_68,d_62]) ).
cnf(d_70,plain,
( ~ 'observational$uperiod'(sK37)
| 'selection$ufavors'('efficient$uproducers','first$umovers',sK37)
| 'greater$uor$uequal'('end$utime'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37))) ),
inference(resolution,[status(thm)],[d_69,d_1]) ).
cnf(d_71,plain,
( 'greater$uor$uequal'('end$utime'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37)))
| 'selection$ufavors'('efficient$uproducers','first$umovers',sK37) ),
inference(resolution,[status(thm)],[c26,d_70]) ).
cnf(d_72,plain,
'greater$uor$uequal'('end$utime'(sK9(sK37)),appear('efficient$uproducers',sK9(sK37))),
inference(resolution,[status(thm)],[c27,d_71]) ).
cnf(d_73,plain,
greater('cardinality$uat$utime'('efficient$uproducers','end$utime'(sK9(sK37))),zero),
inference(resolution,[status(thm)],[d_72,d_39]) ).
cnf(d_74,plain,
( ~ 'in$uenvironment'(X0,'end$utime'(sK9(sK37)))
| subpopulations('first$umovers','efficient$uproducers',X0,'end$utime'(sK9(sK37)))
| ~ environment(X0)
| ~ greater('cardinality$uat$utime'('first$umovers','end$utime'(sK9(sK37))),zero) ),
inference(resolution,[status(thm)],[d_73,c11]) ).
cnf(d_75,plain,
( ~ subpopulation('first$umovers',X0,'end$utime'(sK9(sK37)))
| ~ subpopulation('efficient$uproducers',X0,'end$utime'(sK9(sK37)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37)))
| ~ environment(X0)
| greater('cardinality$uat$utime'('first$umovers','end$utime'(sK9(sK37))),zero) ),
inference(resolution,[status(thm)],[d_73,d_49]) ).
cnf(d_76,plain,
( ~ subpopulation('first$umovers',sK9(sK37),'end$utime'(sK9(sK37)))
| ~ subpopulation('efficient$uproducers',sK9(sK37),'end$utime'(sK9(sK37)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37)))
| greater('cardinality$uat$utime'('first$umovers','end$utime'(sK9(sK37))),zero) ),
inference(resolution,[status(thm)],[d_75,d_5]) ).
cnf(d_77,plain,
( ~ subpopulation('efficient$uproducers',sK9(sK37),'end$utime'(sK9(sK37)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37)))
| greater('cardinality$uat$utime'('first$umovers','end$utime'(sK9(sK37))),zero) ),
inference(resolution,[status(thm)],[d_53,d_76]) ).
cnf(d_78,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37)))
| greater('cardinality$uat$utime'('first$umovers','end$utime'(sK9(sK37))),zero) ),
inference(resolution,[status(thm)],[d_56,d_77]) ).
cnf(d_79,plain,
( ~ 'in$uenvironment'(X0,'end$utime'(sK9(sK37)))
| subpopulations('first$umovers','efficient$uproducers',X0,'end$utime'(sK9(sK37)))
| ~ environment(X0)
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_78,d_74]) ).
cnf(d_80,plain,
( ~ 'in$uenvironment'(sK9(sK37),'end$utime'(sK9(sK37)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37)))
| subpopulations('first$umovers','efficient$uproducers',sK9(sK37),'end$utime'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_79,d_5]) ).
cnf(d_81,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37)))
| subpopulations('first$umovers','efficient$uproducers',sK9(sK37),'end$utime'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_38,d_80]) ).
cnf(d_82,plain,
( greater('growth$urate'('efficient$uproducers','end$utime'(sK9(sK37))),'growth$urate'('first$umovers','end$utime'(sK9(sK37))))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_81,d_65]) ).
cnf(d_83,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37)))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,'end$utime'(sK9(sK37)))
| ~ environment(X0)
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_82,c0]) ).
cnf(d_84,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37)))
| ~ subpopulations('first$umovers','efficient$uproducers',sK9(sK37),'end$utime'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_83,d_5]) ).
cnf(d_85,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sK9(sK37))) ),
inference(resolution,[status(thm)],[d_84,d_81]) ).
cnf(d_86,plain,
( ~ 'observational$uperiod'(sK37)
| 'selection$ufavors'('efficient$uproducers','first$umovers',sK37) ),
inference(resolution,[status(thm)],[d_85,d_1]) ).
cnf(d_87,plain,
'selection$ufavors'('efficient$uproducers','first$umovers',sK37),
inference(resolution,[status(thm)],[c26,d_86]) ).
cnf(d_88,plain,
$false,
inference(resolution,[status(thm)],[c27,d_87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT039+2 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 00:05:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.13/4.92 % SZS status Theorem for theBenchmark.p
% 27.13/4.92 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------