%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT023-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 08:01:03 AM UTC 2026
% Result : Unsatisfiable 14.61s 2.33s
% Output : CNFRefutation 14.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 17
% Syntax : Number of clauses : 71 ( 10 unt; 41 nHn; 71 RR)
% Number of literals : 422 ( 51 equ; 278 neg)
% Maximal clause size : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 127 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_earliest_time_growth_rate_exceeds_19,axiom,
( 'in$uenvironment'(X0,sk2(X0))
| subpopulations('first$umovers','efficient$uproducers',X0,sk1(X1,X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_20,axiom,
( 'in$uenvironment'(X0,sk2(X0))
| 'greater$uor$uequal'(sk1(X1,X0),X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_21,axiom,
( ~ greater('growth$urate'('efficient$uproducers',sk2(X0)),'growth$urate'('first$umovers',sk2(X0)))
| subpopulations('first$umovers','efficient$uproducers',X0,sk1(X1,X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_22,axiom,
( greater('growth$urate'('efficient$uproducers',X2),'growth$urate'('first$umovers',X2))
| ~ greater(X2,sk2(X0))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X2)
| subpopulations('first$umovers','efficient$uproducers',X0,sk1(X1,X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_23,axiom,
( ~ greater('growth$urate'('efficient$uproducers',sk2(X0)),'growth$urate'('first$umovers',sk2(X0)))
| 'greater$uor$uequal'(sk1(X1,X0),X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_24,axiom,
( greater('growth$urate'('efficient$uproducers',X2),'growth$urate'('first$umovers',X2))
| ~ greater(X2,sk2(X0))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X2)
| 'greater$uor$uequal'(sk1(X1,X0),X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_25,axiom,
( 'in$uenvironment'(X0,sk2(X0))
| ~ greater('growth$urate'('efficient$uproducers',sk1(X1,X0)),'growth$urate'('first$umovers',sk1(X1,X0)))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_26,axiom,
( ~ greater('growth$urate'('efficient$uproducers',sk2(X0)),'growth$urate'('first$umovers',sk2(X0)))
| ~ greater('growth$urate'('efficient$uproducers',sk1(X1,X0)),'growth$urate'('first$umovers',sk1(X1,X0)))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_27,axiom,
( greater('growth$urate'('efficient$uproducers',X2),'growth$urate'('first$umovers',X2))
| ~ greater(X2,sk2(X0))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X2)
| ~ greater('growth$urate'('efficient$uproducers',sk1(X1,X0)),'growth$urate'('first$umovers',sk1(X1,X0)))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(d1_28,hypothesis,
( X1 = 'critical$upoint'(X0)
| subpopulations('first$umovers','efficient$uproducers',X0,sk3(X1,X0))
| ~ 'in$uenvironment'(X0,X1)
| greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| ~ environment(X0) ) ).
cnf(d1_29,hypothesis,
( X1 = 'critical$upoint'(X0)
| greater(sk3(X1,X0),X1)
| ~ 'in$uenvironment'(X0,X1)
| greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| ~ environment(X0) ) ).
cnf(d1_30,hypothesis,
( X1 = 'critical$upoint'(X0)
| ~ greater('growth$urate'('efficient$uproducers',sk3(X1,X0)),'growth$urate'('first$umovers',sk3(X1,X0)))
| ~ 'in$uenvironment'(X0,X1)
| greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| ~ environment(X0) ) ).
cnf(l1_31,hypothesis,
( 'in$uenvironment'(X0,sk4(X0))
| ~ stable(X0)
| ~ environment(X0) ) ).
cnf(l1_32,hypothesis,
( greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| ~ 'greater$uor$uequal'(X1,sk4(X0))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ stable(X0)
| ~ environment(X0) ) ).
cnf(prove_l5_33,negated_conjecture,
environment(sk5) ).
cnf(prove_l5_34,negated_conjecture,
stable(sk5) ).
cnf(prove_l5_35,negated_conjecture,
~ 'in$uenvironment'(sk5,'critical$upoint'(sk5)) ).
cnf(c0,plain,
( 'in$uenvironment'(X0,sk2(X0))
| subpopulations('first$umovers','efficient$uproducers',X0,sk1(X1,X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_earliest_time_growth_rate_exceeds_19]) ).
cnf(c1,plain,
( 'in$uenvironment'(X0,sk2(X0))
| 'greater$uor$uequal'(sk1(X1,X0),X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_earliest_time_growth_rate_exceeds_20]) ).
cnf(c2,plain,
( ~ greater('growth$urate'('efficient$uproducers',sk2(X0)),'growth$urate'('first$umovers',sk2(X0)))
| subpopulations('first$umovers','efficient$uproducers',X0,sk1(X1,X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_earliest_time_growth_rate_exceeds_21]) ).
cnf(c3,plain,
( ~ subpopulations('first$umovers','efficient$uproducers',X0,X2)
| ~ environment(X0)
| ~ greater(X2,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| greater('growth$urate'('efficient$uproducers',X2),'growth$urate'('first$umovers',X2))
| subpopulations('first$umovers','efficient$uproducers',X0,sk1(X1,X0)) ),
inference(clausification,[status(esa)],[mp_earliest_time_growth_rate_exceeds_22]) ).
cnf(c4,plain,
( ~ greater('growth$urate'('efficient$uproducers',sk2(X0)),'growth$urate'('first$umovers',sk2(X0)))
| 'greater$uor$uequal'(sk1(X1,X0),X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_earliest_time_growth_rate_exceeds_23]) ).
cnf(c5,plain,
( ~ environment(X0)
| greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| ~ greater(X1,sk2(X0))
| 'greater$uor$uequal'(sk1(X2,X0),X2)
| ~ 'in$uenvironment'(X0,X2)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1) ),
inference(clausification,[status(esa)],[mp_earliest_time_growth_rate_exceeds_24]) ).
cnf(c6,plain,
( 'in$uenvironment'(X0,sk2(X0))
| ~ greater('growth$urate'('efficient$uproducers',sk1(X1,X0)),'growth$urate'('first$umovers',sk1(X1,X0)))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_earliest_time_growth_rate_exceeds_25]) ).
cnf(c7,plain,
( ~ greater('growth$urate'('efficient$uproducers',sk2(X0)),'growth$urate'('first$umovers',sk2(X0)))
| ~ greater('growth$urate'('efficient$uproducers',sk1(X1,X0)),'growth$urate'('first$umovers',sk1(X1,X0)))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_earliest_time_growth_rate_exceeds_26]) ).
cnf(c8,plain,
( ~ subpopulations('first$umovers','efficient$uproducers',X0,X2)
| ~ greater('growth$urate'('efficient$uproducers',sk1(X1,X0)),'growth$urate'('first$umovers',sk1(X1,X0)))
| greater('growth$urate'('efficient$uproducers',X2),'growth$urate'('first$umovers',X2))
| ~ greater(X2,sk2(X0))
| ~ environment(X0)
| ~ 'in$uenvironment'(X0,X1) ),
inference(clausification,[status(esa)],[mp_earliest_time_growth_rate_exceeds_27]) ).
cnf(c9,plain,
( subpopulations('first$umovers','efficient$uproducers',X1,sk3(X0,X1))
| ~ 'in$uenvironment'(X1,X0)
| ~ environment(X1)
| X0 = 'critical$upoint'(X1)
| greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0)) ),
inference(clausification,[status(esa)],[d1_28]) ).
cnf(c10,plain,
( greater(sk3(X0,X1),X0)
| ~ 'in$uenvironment'(X1,X0)
| X0 = 'critical$upoint'(X1)
| ~ environment(X1)
| greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0)) ),
inference(clausification,[status(esa)],[d1_29]) ).
cnf(c11,plain,
( greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ greater('growth$urate'('efficient$uproducers',sk3(X1,X0)),'growth$urate'('first$umovers',sk3(X1,X0)))
| X1 = 'critical$upoint'(X0)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[d1_30]) ).
cnf(c12,plain,
( 'in$uenvironment'(X0,sk4(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[l1_31]) ).
cnf(c13,plain,
( ~ 'greater$uor$uequal'(X1,sk4(X0))
| ~ environment(X0)
| ~ stable(X0)
| greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1) ),
inference(clausification,[status(esa)],[l1_32]) ).
cnf(c14,plain,
environment(sk5),
inference(clausification,[status(esa)],[prove_l5_33]) ).
cnf(c15,plain,
stable(sk5),
inference(clausification,[status(esa)],[prove_l5_34]) ).
cnf(c16,plain,
~ 'in$uenvironment'(sk5,'critical$upoint'(sk5)),
inference(clausification,[status(esa)],[prove_l5_35]) ).
cnf(d0,plain,
( 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| ~ stable(X0)
| greater('growth$urate'('efficient$uproducers',sk1(X1,X0)),'growth$urate'('first$umovers',sk1(X1,X0)))
| ~ 'greater$uor$uequal'(sk1(X1,X0),sk4(X0))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c13,c0]) ).
cnf(d1,plain,
( 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| ~ stable(X0)
| ~ 'greater$uor$uequal'(sk1(X1,X0),sk4(X0))
| 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d0,c6]) ).
cnf(d2,plain,
( 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,sk4(X0))
| ~ environment(X0)
| ~ stable(X0)
| 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,sk4(X0))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
( ~ stable(X0)
| ~ environment(X0)
| ~ stable(X0)
| 'in$uenvironment'(X0,sk2(X0))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d2,c12]) ).
cnf(d4,plain,
( greater('growth$urate'('efficient$uproducers',sk3(X0,X1)),'growth$urate'('first$umovers',sk3(X0,X1)))
| ~ greater(sk3(X0,X1),sk2(X1))
| 'greater$uor$uequal'(sk1(X2,X1),X2)
| ~ 'in$uenvironment'(X1,X2)
| ~ environment(X1)
| greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| ~ 'in$uenvironment'(X1,X0)
| ~ environment(X1)
| X0 = 'critical$upoint'(X1) ),
inference(resolution,[status(thm)],[c9,c5]) ).
cnf(d5,plain,
( greater('growth$urate'('efficient$uproducers',sk2(X0)),'growth$urate'('first$umovers',sk2(X0)))
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0)
| greater('growth$urate'('efficient$uproducers',sk3(sk2(X0),X0)),'growth$urate'('first$umovers',sk3(sk2(X0),X0)))
| greater('growth$urate'('efficient$uproducers',sk2(X0)),'growth$urate'('first$umovers',sk2(X0)))
| 'greater$uor$uequal'(sk1(X1,X0),X1)
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(resolution,[status(thm)],[d4,c10]) ).
cnf(d6,plain,
( greater('growth$urate'('efficient$uproducers',sk2(X0)),'growth$urate'('first$umovers',sk2(X0)))
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0)
| greater('growth$urate'('efficient$uproducers',sk2(X0)),'growth$urate'('first$umovers',sk2(X0)))
| 'greater$uor$uequal'(sk1(X1,X0),X1)
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(resolution,[status(thm)],[d5,c11]) ).
cnf(d7,plain,
( 'greater$uor$uequal'(sk1(X2,X0),X2)
| ~ 'in$uenvironment'(X0,X2)
| ~ environment(X0)
| 'greater$uor$uequal'(sk1(X1,X0),X1)
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(resolution,[status(thm)],[d6,c4]) ).
cnf(d8,plain,
( 'greater$uor$uequal'(sk1(X3,X0),X3)
| ~ 'in$uenvironment'(X0,X3)
| ~ environment(X0)
| 'greater$uor$uequal'(sk1(X2,X0),X2)
| 'greater$uor$uequal'(sk1(X1,X0),X1)
| ~ 'in$uenvironment'(X0,X2)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(resolution,[status(thm)],[d7,c1]) ).
cnf(d9,plain,
( 'greater$uor$uequal'(sk1(X2,X0),X2)
| 'greater$uor$uequal'(sk1(X1,X0),X1)
| ~ 'in$uenvironment'(X0,X2)
| ~ 'in$uenvironment'(X0,X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(factoring,[status(thm)],[d8]) ).
cnf(d10,plain,
( 'greater$uor$uequal'(sk1(X1,X0),X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(factoring,[status(thm)],[d9]) ).
cnf(d11,plain,
( greater('growth$urate'('efficient$uproducers',sk3(X0,X1)),'growth$urate'('first$umovers',sk3(X0,X1)))
| ~ greater(sk3(X0,X1),sk2(X1))
| subpopulations('first$umovers','efficient$uproducers',X1,sk1(X2,X1))
| ~ 'in$uenvironment'(X1,X2)
| ~ environment(X1)
| greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| ~ 'in$uenvironment'(X1,X0)
| ~ environment(X1)
| X0 = 'critical$upoint'(X1) ),
inference(resolution,[status(thm)],[c9,c3]) ).
cnf(d12,plain,
( greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| ~ 'in$uenvironment'(X1,X0)
| ~ environment(X1)
| X0 = 'critical$upoint'(X1)
| ~ greater(sk3(X0,X1),sk2(X1))
| greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| subpopulations('first$umovers','efficient$uproducers',X1,sk1(X2,X1))
| ~ 'in$uenvironment'(X1,X0)
| ~ 'in$uenvironment'(X1,X2)
| ~ environment(X1)
| X0 = 'critical$upoint'(X1) ),
inference(resolution,[status(thm)],[d11,c11]) ).
cnf(d13,plain,
( greater('growth$urate'('efficient$uproducers',sk2(X0)),'growth$urate'('first$umovers',sk2(X0)))
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0)
| greater('growth$urate'('efficient$uproducers',sk2(X0)),'growth$urate'('first$umovers',sk2(X0)))
| subpopulations('first$umovers','efficient$uproducers',X0,sk1(X1,X0))
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(resolution,[status(thm)],[d12,c10]) ).
cnf(d14,plain,
( subpopulations('first$umovers','efficient$uproducers',X0,sk1(X2,X0))
| ~ 'in$uenvironment'(X0,X2)
| ~ environment(X0)
| subpopulations('first$umovers','efficient$uproducers',X0,sk1(X1,X0))
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(resolution,[status(thm)],[d13,c2]) ).
cnf(d15,plain,
( subpopulations('first$umovers','efficient$uproducers',X0,sk1(X1,X0))
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(factoring,[status(thm)],[d14]) ).
cnf(d16,plain,
( ~ stable(X0)
| greater('growth$urate'('efficient$uproducers',sk1(X1,X0)),'growth$urate'('first$umovers',sk1(X1,X0)))
| ~ 'greater$uor$uequal'(sk1(X1,X0),sk4(X0))
| ~ environment(X0)
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(resolution,[status(thm)],[d15,c13]) ).
cnf(d17,plain,
( ~ greater('growth$urate'('efficient$uproducers',sk2(X0)),'growth$urate'('first$umovers',sk2(X0)))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| ~ stable(X0)
| ~ 'greater$uor$uequal'(sk1(X1,X0),sk4(X0))
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(resolution,[status(thm)],[d16,c7]) ).
cnf(d18,plain,
( greater(sk3(sk2(X0),X2),sk2(X0))
| ~ 'in$uenvironment'(X2,sk2(X0))
| ~ environment(X2)
| sk2(X0) = 'critical$upoint'(X2)
| ~ stable(X0)
| ~ 'greater$uor$uequal'(sk1(X1,X0),sk4(X0))
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(resolution,[status(thm)],[d17,c10]) ).
cnf(d19,plain,
( ~ stable(X0)
| ~ environment(X0)
| 'greater$uor$uequal'(sk1(X2,X0),X2)
| 'greater$uor$uequal'(sk1(X1,X0),X1)
| ~ 'in$uenvironment'(X0,X2)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(resolution,[status(thm)],[d7,d3]) ).
cnf(d20,plain,
( ~ stable(X0)
| 'greater$uor$uequal'(sk1(X1,X0),X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(factoring,[status(thm)],[d19]) ).
cnf(d21,plain,
( ~ stable(X0)
| greater(sk3(sk2(X0),X1),sk2(X0))
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,sk4(X0))
| ~ 'in$uenvironment'(X1,sk2(X0))
| ~ environment(X0)
| ~ environment(X1)
| sk2(X0) = 'critical$upoint'(X0)
| sk2(X0) = 'critical$upoint'(X1)
| ~ stable(X0)
| ~ 'in$uenvironment'(X0,sk4(X0))
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(resolution,[status(thm)],[d20,d18]) ).
cnf(d22,plain,
( greater('growth$urate'('efficient$uproducers',X2),'growth$urate'('first$umovers',X2))
| ~ greater(X2,sk2(X0))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X2)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| ~ stable(X0)
| ~ 'greater$uor$uequal'(sk1(X1,X0),sk4(X0))
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(resolution,[status(thm)],[d16,c8]) ).
cnf(d23,plain,
( ~ stable(X0)
| greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| ~ greater(X1,sk2(X0))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,sk4(X0))
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0)
| ~ stable(X0)
| ~ 'in$uenvironment'(X0,sk4(X0))
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(resolution,[status(thm)],[d20,d22]) ).
cnf(d24,plain,
( greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| X1 = 'critical$upoint'(X0)
| ~ stable(X0)
| greater('growth$urate'('efficient$uproducers',sk3(X1,X0)),'growth$urate'('first$umovers',sk3(X1,X0)))
| ~ greater(sk3(X1,X0),sk2(X0))
| ~ 'in$uenvironment'(X0,sk4(X0))
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(resolution,[status(thm)],[d23,c9]) ).
cnf(d25,plain,
( greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| ~ 'in$uenvironment'(X1,X0)
| ~ environment(X1)
| X0 = 'critical$upoint'(X1)
| ~ stable(X1)
| ~ greater(sk3(X0,X1),sk2(X1))
| greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| ~ 'in$uenvironment'(X1,sk4(X1))
| ~ 'in$uenvironment'(X1,sk2(X1))
| ~ 'in$uenvironment'(X1,X0)
| ~ environment(X1)
| sk2(X1) = 'critical$upoint'(X1)
| X0 = 'critical$upoint'(X1) ),
inference(resolution,[status(thm)],[d24,c11]) ).
cnf(d26,plain,
( ~ stable(X0)
| ~ 'in$uenvironment'(X0,sk4(X0))
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ environment(X0)
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0)
| sk2(X0) = 'critical$upoint'(X0)
| ~ stable(X0)
| greater('growth$urate'('efficient$uproducers',sk2(X0)),'growth$urate'('first$umovers',sk2(X0)))
| ~ 'in$uenvironment'(X0,sk4(X0))
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(resolution,[status(thm)],[d25,d21]) ).
cnf(d27,plain,
( ~ stable(X0)
| ~ 'greater$uor$uequal'(sk1(X1,X0),sk4(X0))
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0)
| ~ stable(X0)
| ~ 'in$uenvironment'(X0,sk4(X0))
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(resolution,[status(thm)],[d26,d17]) ).
cnf(d28,plain,
( ~ 'in$uenvironment'(X0,sk4(X0))
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0)
| ~ stable(X0)
| ~ 'in$uenvironment'(X0,sk4(X0))
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,sk4(X0))
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(resolution,[status(thm)],[d27,d10]) ).
cnf(d29,plain,
( ~ stable(X0)
| ~ environment(X0)
| ~ stable(X0)
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(resolution,[status(thm)],[d28,c12]) ).
cnf(d30,plain,
( ~ stable(X0)
| ~ environment(X0)
| ~ stable(X0)
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(resolution,[status(thm)],[d29,d3]) ).
cnf(d31,plain,
( ~ environment(sk5)
| sk2(sk5) = 'critical$upoint'(sk5) ),
inference(resolution,[status(thm)],[d30,c15]) ).
cnf(d32,plain,
sk2(sk5) = 'critical$upoint'(sk5),
inference(resolution,[status(thm)],[c14,d31]) ).
cnf(d33,plain,
~ 'in$uenvironment'(sk5,sk2(sk5)),
inference(demodulation,[status(thm)],[c16,d32]) ).
cnf(d34,plain,
( ~ stable(sk5)
| ~ environment(sk5) ),
inference(resolution,[status(thm)],[d33,d3]) ).
cnf(d35,plain,
~ stable(sk5),
inference(resolution,[status(thm)],[c14,d34]) ).
cnf(d36,plain,
$false,
inference(resolution,[status(thm)],[c15,d35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT023-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 00:04:34 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.61/2.33 % SZS status Unsatisfiable for theBenchmark.p
% 14.61/2.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------