%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT026-1 : 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 : n001.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 08:01:04 AM UTC 2026
% Result : Unsatisfiable 12.26s 2.30s
% Output : CNFRefutation 12.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 16
% Syntax : Number of clauses : 89 ( 14 unt; 34 nHn; 89 RR)
% Number of literals : 305 ( 61 equ; 180 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 95 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp1_high_growth_rates_28,axiom,
( 'selection$ufavors'(X2,X1,X3)
| ~ greater('growth$urate'(X2,X3),'growth$urate'(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ) ).
cnf(mp2_favour_members_29,axiom,
( 'selection$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(mp_non_empty_fm_and_ep_30,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$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_first_movers_exist_31,axiom,
( 'greater$uor$uequal'('cardinality$uat$utime'('first$umovers',X1),zero)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_subpopulations_32,axiom,
( subpopulation('first$umovers',X0,X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_subpopulations_33,axiom,
( subpopulation('efficient$uproducers',X0,X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_critical_point_after_EP_34,axiom,
( 'greater$uor$uequal'('critical$upoint'(X0),appear('efficient$uproducers',X0))
| ~ environment(X0) ) ).
cnf(mp_greater_transitivity_35,axiom,
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ) ).
cnf(mp_greater_or_equal_36,axiom,
( X0 = X1
| greater(X0,X1)
| ~ 'greater$uor$uequal'(X0,X1) ) ).
cnf(mp_greater_or_equal_37,axiom,
( 'greater$uor$uequal'(X0,X1)
| ~ greater(X0,X1) ) ).
cnf(d1_40,hypothesis,
( greater('growth$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_41,hypothesis,
( greater('cardinality$uat$utime'('efficient$uproducers',X1),zero)
| ~ 'greater$uor$uequal'(X1,appear('efficient$uproducers',X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(prove_l8_42,negated_conjecture,
environment(sk1) ).
cnf(prove_l8_43,negated_conjecture,
'in$uenvironment'(sk1,sk2) ).
cnf(prove_l8_44,negated_conjecture,
greater(sk2,'critical$upoint'(sk1)) ).
cnf(prove_l8_45,negated_conjecture,
~ 'selection$ufavors'('efficient$uproducers','first$umovers',sk2) ).
cnf(c0,plain,
( 'selection$ufavors'(X2,X1,X3)
| ~ greater('growth$urate'(X2,X3),'growth$urate'(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp1_high_growth_rates_28]) ).
cnf(c1,plain,
( 'selection$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_29]) ).
cnf(c2,plain,
( ~ greater('cardinality$uat$utime'('efficient$uproducers',X1),zero)
| subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ greater('cardinality$uat$utime'('first$umovers',X1),zero)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_non_empty_fm_and_ep_30]) ).
cnf(c3,plain,
( 'greater$uor$uequal'('cardinality$uat$utime'('first$umovers',X1),zero)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_first_movers_exist_31]) ).
cnf(c4,plain,
( subpopulation('first$umovers',X0,X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_subpopulations_32]) ).
cnf(c5,plain,
( subpopulation('efficient$uproducers',X0,X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_subpopulations_33]) ).
cnf(c6,plain,
( 'greater$uor$uequal'('critical$upoint'(X0),appear('efficient$uproducers',X0))
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_critical_point_after_EP_34]) ).
cnf(c7,plain,
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[mp_greater_transitivity_35]) ).
cnf(c8,plain,
( X0 = X1
| greater(X0,X1)
| ~ 'greater$uor$uequal'(X0,X1) ),
inference(clausification,[status(esa)],[mp_greater_or_equal_36]) ).
cnf(c9,plain,
( 'greater$uor$uequal'(X0,X1)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[mp_greater_or_equal_37]) ).
cnf(c12,plain,
( ~ subpopulations('first$umovers','efficient$uproducers',X2,X0)
| ~ environment(X2)
| ~ greater(X0,X1)
| X1 != 'critical$upoint'(X2)
| greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0)) ),
inference(clausification,[status(esa)],[d1_40]) ).
cnf(c13,plain,
( greater('cardinality$uat$utime'('efficient$uproducers',X1),zero)
| ~ 'greater$uor$uequal'(X1,appear('efficient$uproducers',X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[t6_41]) ).
cnf(c14,plain,
environment(sk1),
inference(clausification,[status(esa)],[prove_l8_42]) ).
cnf(c15,plain,
'in$uenvironment'(sk1,sk2),
inference(clausification,[status(esa)],[prove_l8_43]) ).
cnf(c16,plain,
greater(sk2,'critical$upoint'(sk1)),
inference(clausification,[status(esa)],[prove_l8_44]) ).
cnf(c17,plain,
~ 'selection$ufavors'('efficient$uproducers','first$umovers',sk2),
inference(clausification,[status(esa)],[prove_l8_45]) ).
cnf(d0,plain,
( 'greater$uor$uequal'('cardinality$uat$utime'('first$umovers',sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c3,c15]) ).
cnf(d1,plain,
'greater$uor$uequal'('cardinality$uat$utime'('first$umovers',sk2),zero),
inference(resolution,[status(thm)],[c14,d0]) ).
cnf(d2,plain,
( greater('cardinality$uat$utime'('first$umovers',sk2),zero)
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[c8,d1]) ).
cnf(d3,plain,
( greater(sk2,X0)
| ~ greater('critical$upoint'(sk1),X0) ),
inference(resolution,[status(thm)],[c7,c16]) ).
cnf(d4,plain,
( ~ environment(X0)
| greater('critical$upoint'(X0),appear('efficient$uproducers',X0))
| 'critical$upoint'(X0) = appear('efficient$uproducers',X0) ),
inference(resolution,[status(thm)],[c8,c6]) ).
cnf(d5,plain,
( greater(sk2,appear('efficient$uproducers',sk1))
| ~ environment(sk1)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( greater(sk2,appear('efficient$uproducers',sk1))
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[c14,d5]) ).
cnf(d7,plain,
( 'greater$uor$uequal'(sk2,appear('efficient$uproducers',sk1))
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d6,c9]) ).
cnf(d8,plain,
( ~ 'in$uenvironment'(sk1,sk2)
| ~ environment(sk1)
| greater('cardinality$uat$utime'('efficient$uproducers',sk2),zero)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d7,c13]) ).
cnf(d9,plain,
( ~ 'in$uenvironment'(sk1,sk2)
| greater('cardinality$uat$utime'('efficient$uproducers',sk2),zero)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[c14,d8]) ).
cnf(d10,plain,
( greater('cardinality$uat$utime'('efficient$uproducers',sk2),zero)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[c15,d9]) ).
cnf(d11,plain,
( ~ 'in$uenvironment'(X0,sk2)
| subpopulations('first$umovers','efficient$uproducers',X0,sk2)
| ~ environment(X0)
| ~ greater('cardinality$uat$utime'('first$umovers',sk2),zero)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d10,c2]) ).
cnf(d12,plain,
( 'cardinality$uat$utime'('first$umovers',sk2) = zero
| ~ 'in$uenvironment'(X0,sk2)
| subpopulations('first$umovers','efficient$uproducers',X0,sk2)
| ~ environment(X0)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d11,d2]) ).
cnf(d13,plain,
( ~ subpopulations('first$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)],[c12]) ).
cnf(d14,plain,
( ~ environment(X0)
| greater('growth$urate'('efficient$uproducers',sk2),'growth$urate'('first$umovers',sk2))
| ~ greater(sk2,'critical$upoint'(X0))
| ~ 'in$uenvironment'(X0,sk2)
| ~ environment(X0)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1)
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[d12,d13]) ).
cnf(d15,plain,
( ~ 'in$uenvironment'(sk1,sk2)
| ~ environment(sk1)
| greater('growth$urate'('efficient$uproducers',sk2),'growth$urate'('first$umovers',sk2))
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1)
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[d14,c16]) ).
cnf(d16,plain,
( ~ 'in$uenvironment'(sk1,sk2)
| greater('growth$urate'('efficient$uproducers',sk2),'growth$urate'('first$umovers',sk2))
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1)
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[c14,d15]) ).
cnf(d17,plain,
( greater('growth$urate'('efficient$uproducers',sk2),'growth$urate'('first$umovers',sk2))
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1)
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[c15,d16]) ).
cnf(d18,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers',sk2)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,sk2)
| ~ environment(X0)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1)
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[d17,c0]) ).
cnf(d19,plain,
( ~ subpopulations('first$umovers','efficient$uproducers',X0,sk2)
| ~ environment(X0)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1)
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[c17,d18]) ).
cnf(d20,plain,
( ~ 'in$uenvironment'(X0,sk2)
| ~ environment(X0)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1)
| 'cardinality$uat$utime'('first$umovers',sk2) = zero
| ~ environment(X0)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1)
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[d19,d12]) ).
cnf(d21,plain,
( ~ environment(sk1)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1)
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[d20,c15]) ).
cnf(d22,plain,
( 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1)
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[c14,d21]) ).
cnf(d23,plain,
( 'cardinality$uat$utime'('first$umovers',sk2) = zero
| ~ 'in$uenvironment'(sk1,X0)
| ~ environment(sk1)
| greater('cardinality$uat$utime'('efficient$uproducers',X0),zero)
| ~ 'greater$uor$uequal'(X0,'critical$upoint'(sk1)) ),
inference(superposition,[status(thm)],[d22,c13]) ).
cnf(d24,plain,
( ~ 'greater$uor$uequal'(X0,'critical$upoint'(sk1))
| ~ 'in$uenvironment'(sk1,X0)
| greater('cardinality$uat$utime'('efficient$uproducers',X0),zero)
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[c14,d23]) ).
cnf(d25,plain,
( ~ 'in$uenvironment'(X1,X0)
| subpopulations('first$umovers','efficient$uproducers',X1,X0)
| ~ environment(X1)
| ~ greater('cardinality$uat$utime'('first$umovers',X0),zero)
| ~ 'greater$uor$uequal'(X0,'critical$upoint'(sk1))
| ~ 'in$uenvironment'(sk1,X0)
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[d24,c2]) ).
cnf(d26,plain,
( 'cardinality$uat$utime'('first$umovers',sk2) = zero
| ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ 'in$uenvironment'(sk1,sk2)
| ~ 'in$uenvironment'(X0,sk2)
| subpopulations('first$umovers','efficient$uproducers',X0,sk2)
| ~ environment(X0)
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[d25,d2]) ).
cnf(d27,plain,
( ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ 'in$uenvironment'(X0,sk2)
| subpopulations('first$umovers','efficient$uproducers',X0,sk2)
| ~ environment(X0)
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[c15,d26]) ).
cnf(d28,plain,
'greater$uor$uequal'(sk2,'critical$upoint'(sk1)),
inference(resolution,[status(thm)],[c9,c16]) ).
cnf(d29,plain,
( ~ 'in$uenvironment'(X0,sk2)
| subpopulations('first$umovers','efficient$uproducers',X0,sk2)
| ~ environment(X0)
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[d28,d27]) ).
cnf(d30,plain,
( ~ environment(X0)
| greater('growth$urate'('efficient$uproducers',sk2),'growth$urate'('first$umovers',sk2))
| ~ greater(sk2,'critical$upoint'(X0))
| ~ 'in$uenvironment'(X0,sk2)
| ~ environment(X0)
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[d29,d13]) ).
cnf(d31,plain,
( ~ 'in$uenvironment'(sk1,sk2)
| ~ environment(sk1)
| greater('growth$urate'('efficient$uproducers',sk2),'growth$urate'('first$umovers',sk2))
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[d30,c16]) ).
cnf(d32,plain,
( ~ 'in$uenvironment'(sk1,sk2)
| greater('growth$urate'('efficient$uproducers',sk2),'growth$urate'('first$umovers',sk2))
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[c14,d31]) ).
cnf(d33,plain,
( greater('growth$urate'('efficient$uproducers',sk2),'growth$urate'('first$umovers',sk2))
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[c15,d32]) ).
cnf(d34,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers',sk2)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,sk2)
| ~ environment(X0)
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[d33,c0]) ).
cnf(d35,plain,
( ~ subpopulations('first$umovers','efficient$uproducers',X0,sk2)
| ~ environment(X0)
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[c17,d34]) ).
cnf(d36,plain,
( ~ 'in$uenvironment'(X0,sk2)
| ~ environment(X0)
| 'cardinality$uat$utime'('first$umovers',sk2) = zero
| ~ environment(X0)
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[d35,d29]) ).
cnf(d37,plain,
( ~ environment(sk1)
| 'cardinality$uat$utime'('first$umovers',sk2) = zero ),
inference(resolution,[status(thm)],[d36,c15]) ).
cnf(d38,plain,
'cardinality$uat$utime'('first$umovers',sk2) = zero,
inference(resolution,[status(thm)],[c14,d37]) ).
cnf(d39,plain,
( ~ subpopulation(X0,X1,sk2)
| ~ subpopulation('first$umovers',X1,sk2)
| 'selection$ufavors'(X0,'first$umovers',sk2)
| ~ environment(X1)
| ~ greater('cardinality$uat$utime'(X0,sk2),zero)
| zero != zero ),
inference(superposition,[status(thm)],[d38,c1]) ).
cnf(d40,plain,
( ~ subpopulation('first$umovers',X1,sk2)
| ~ subpopulation(X0,X1,sk2)
| 'selection$ufavors'(X0,'first$umovers',sk2)
| ~ environment(X1)
| ~ greater('cardinality$uat$utime'(X0,sk2),zero) ),
inference(equality_resolution,[status(thm)],[d39]) ).
cnf(d41,plain,
( 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1)
| ~ subpopulation('first$umovers',X0,sk2)
| ~ subpopulation('efficient$uproducers',X0,sk2)
| 'selection$ufavors'('efficient$uproducers','first$umovers',sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d40,d10]) ).
cnf(d42,plain,
( ~ subpopulation('efficient$uproducers',X0,sk2)
| ~ subpopulation('first$umovers',X0,sk2)
| ~ environment(X0)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[c17,d41]) ).
cnf(d43,plain,
( ~ 'in$uenvironment'(X0,sk2)
| ~ environment(X0)
| ~ subpopulation('first$umovers',X0,sk2)
| ~ environment(X0)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d42,c5]) ).
cnf(d44,plain,
( ~ 'in$uenvironment'(X0,sk2)
| ~ environment(X0)
| ~ 'in$uenvironment'(X0,sk2)
| ~ environment(X0)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d43,c4]) ).
cnf(d45,plain,
( ~ environment(sk1)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d44,c15]) ).
cnf(d46,plain,
'critical$upoint'(sk1) = appear('efficient$uproducers',sk1),
inference(resolution,[status(thm)],[c14,d45]) ).
cnf(d47,plain,
( ~ 'in$uenvironment'(sk1,X0)
| ~ environment(sk1)
| greater('cardinality$uat$utime'('efficient$uproducers',X0),zero)
| ~ 'greater$uor$uequal'(X0,'critical$upoint'(sk1)) ),
inference(superposition,[status(thm)],[d46,c13]) ).
cnf(d48,plain,
( ~ 'greater$uor$uequal'(X0,'critical$upoint'(sk1))
| ~ 'in$uenvironment'(sk1,X0)
| greater('cardinality$uat$utime'('efficient$uproducers',X0),zero) ),
inference(resolution,[status(thm)],[c14,d47]) ).
cnf(d49,plain,
( ~ subpopulation('first$umovers',X0,sk2)
| ~ subpopulation('efficient$uproducers',X0,sk2)
| 'selection$ufavors'('efficient$uproducers','first$umovers',sk2)
| ~ environment(X0)
| ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ 'in$uenvironment'(sk1,sk2) ),
inference(resolution,[status(thm)],[d48,d40]) ).
cnf(d50,plain,
( ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ subpopulation('efficient$uproducers',X0,sk2)
| ~ subpopulation('first$umovers',X0,sk2)
| 'selection$ufavors'('efficient$uproducers','first$umovers',sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c15,d49]) ).
cnf(d51,plain,
( ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ subpopulation('efficient$uproducers',X0,sk2)
| ~ subpopulation('first$umovers',X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c17,d50]) ).
cnf(d52,plain,
( ~ subpopulation('efficient$uproducers',X0,sk2)
| ~ subpopulation('first$umovers',X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d28,d51]) ).
cnf(d53,plain,
( ~ 'in$uenvironment'(X0,sk2)
| ~ environment(X0)
| ~ subpopulation('first$umovers',X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d52,c5]) ).
cnf(d54,plain,
( ~ 'in$uenvironment'(X0,sk2)
| ~ environment(X0)
| ~ 'in$uenvironment'(X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d53,c4]) ).
cnf(d55,plain,
~ environment(sk1),
inference(resolution,[status(thm)],[d54,c15]) ).
cnf(d56,plain,
$false,
inference(resolution,[status(thm)],[c14,d55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT026-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n001.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 00:10:28 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.26/2.30 % SZS status Unsatisfiable for theBenchmark.p
% 12.26/2.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------