%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT030-1 : 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 08:01:15 AM UTC 2026
% Result : Unsatisfiable 13.94s 2.40s
% Output : CNFRefutation 13.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 16
% Syntax : Number of clauses : 93 ( 7 unt; 41 nHn; 93 RR)
% Number of literals : 501 ( 0 equ; 373 neg)
% Maximal clause size : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 139 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_earliest_time_growth_rate_exceeds_1,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_2,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_3,axiom,
( ~ greater('growth$urate'('efficient$uproducers',sk2(X0)),'growth$urate'('first$umovers',sk2(X0)))
| subpopulations('first$umovers','efficient$uproducers',X0,sk1(X1,X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_4,axiom,
( greater('growth$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_5,axiom,
( ~ greater('growth$urate'('efficient$uproducers',sk2(X0)),'growth$urate'('first$umovers',sk2(X0)))
| 'greater$uor$uequal'(sk1(X1,X0),X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_6,axiom,
( greater('growth$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_7,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_8,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$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_9,axiom,
( greater('growth$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(l1_10,hypothesis,
( 'in$uenvironment'(X0,sk3(X0))
| ~ stable(X0)
| ~ environment(X0) ) ).
cnf(l1_11,hypothesis,
( greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| ~ 'greater$uor$uequal'(X1,sk3(X0))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ stable(X0)
| ~ environment(X0) ) ).
cnf(prove_l12_12,negated_conjecture,
environment(sk4) ).
cnf(prove_l12_13,negated_conjecture,
stable(sk4) ).
cnf(prove_l12_14,negated_conjecture,
( subpopulations('first$umovers','efficient$uproducers',sk4,sk5(X0))
| greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| ~ 'in$uenvironment'(sk4,X0) ) ).
cnf(prove_l12_15,negated_conjecture,
( greater(sk5(X0),X0)
| greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| ~ 'in$uenvironment'(sk4,X0) ) ).
cnf(prove_l12_16,negated_conjecture,
( ~ greater('growth$urate'('efficient$uproducers',sk5(X0)),'growth$urate'('first$umovers',sk5(X0)))
| greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| ~ 'in$uenvironment'(sk4,X0) ) ).
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_1]) ).
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_2]) ).
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$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_earliest_time_growth_rate_exceeds_3]) ).
cnf(c3,plain,
( ~ subpopulations('first$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_4]) ).
cnf(c4,plain,
( ~ greater('growth$urate'('efficient$uproducers',sk2(X0)),'growth$urate'('first$umovers',sk2(X0)))
| 'greater$uor$uequal'(sk1(X1,X0),X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_earliest_time_growth_rate_exceeds_5]) ).
cnf(c5,plain,
( ~ environment(X0)
| greater('growth$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_6]) ).
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_7]) ).
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$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_earliest_time_growth_rate_exceeds_8]) ).
cnf(c8,plain,
( ~ subpopulations('first$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_9]) ).
cnf(c9,plain,
( 'in$uenvironment'(X0,sk3(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[l1_10]) ).
cnf(c10,plain,
( greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| ~ environment(X1)
| ~ subpopulations('first$umovers','efficient$uproducers',X1,X0)
| ~ stable(X1)
| ~ 'greater$uor$uequal'(X0,sk3(X1)) ),
inference(clausification,[status(esa)],[l1_11]) ).
cnf(c11,plain,
environment(sk4),
inference(clausification,[status(esa)],[prove_l12_12]) ).
cnf(c12,plain,
stable(sk4),
inference(clausification,[status(esa)],[prove_l12_13]) ).
cnf(c13,plain,
( subpopulations('first$umovers','efficient$uproducers',sk4,sk5(X0))
| greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| ~ 'in$uenvironment'(sk4,X0) ),
inference(clausification,[status(esa)],[prove_l12_14]) ).
cnf(c14,plain,
( greater(sk5(X0),X0)
| greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| ~ 'in$uenvironment'(sk4,X0) ),
inference(clausification,[status(esa)],[prove_l12_15]) ).
cnf(c15,plain,
( ~ greater('growth$urate'('efficient$uproducers',sk5(X0)),'growth$urate'('first$umovers',sk5(X0)))
| greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| ~ 'in$uenvironment'(sk4,X0) ),
inference(clausification,[status(esa)],[prove_l12_16]) ).
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),sk3(X0))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c10,c0]) ).
cnf(d1,plain,
( 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| ~ stable(X0)
| ~ 'greater$uor$uequal'(sk1(X1,X0),sk3(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,sk3(X0))
| ~ environment(X0)
| ~ stable(X0)
| 'in$uenvironment'(X0,sk2(X0))
| ~ 'in$uenvironment'(X0,sk3(X0))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
( ~ stable(X0)
| ~ environment(X0)
| ~ stable(X0)
| 'in$uenvironment'(X0,sk2(X0))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d2,c9]) ).
cnf(d4,plain,
( greater(sk5(sk2(X0)),sk2(X0))
| ~ 'in$uenvironment'(sk4,sk2(X0))
| 'greater$uor$uequal'(sk1(X1,X0),X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c4,c14]) ).
cnf(d5,plain,
( subpopulations('first$umovers','efficient$uproducers',sk4,sk5(sk2(X0)))
| ~ 'in$uenvironment'(sk4,sk2(X0))
| 'greater$uor$uequal'(sk1(X1,X0),X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c4,c13]) ).
cnf(d6,plain,
( greater('growth$urate'('efficient$uproducers',sk5(sk2(X0))),'growth$urate'('first$umovers',sk5(sk2(X0))))
| ~ greater(sk5(sk2(X0)),sk2(sk4))
| 'greater$uor$uequal'(sk1(X2,sk4),X2)
| ~ 'in$uenvironment'(sk4,X2)
| ~ environment(sk4)
| 'greater$uor$uequal'(sk1(X1,X0),X1)
| ~ 'in$uenvironment'(sk4,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d5,c5]) ).
cnf(d7,plain,
( ~ greater(sk5(sk2(X0)),sk2(sk4))
| greater('growth$urate'('efficient$uproducers',sk5(sk2(X0))),'growth$urate'('first$umovers',sk5(sk2(X0))))
| 'greater$uor$uequal'(sk1(X1,X0),X1)
| 'greater$uor$uequal'(sk1(X2,sk4),X2)
| ~ 'in$uenvironment'(sk4,sk2(X0))
| ~ 'in$uenvironment'(sk4,X2)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c11,d6]) ).
cnf(d8,plain,
( 'greater$uor$uequal'(sk1(X2,sk4),X2)
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X2)
| ~ environment(sk4)
| greater('growth$urate'('efficient$uproducers',sk5(sk2(sk4))),'growth$urate'('first$umovers',sk5(sk2(sk4))))
| 'greater$uor$uequal'(sk1(X0,sk4),X0)
| 'greater$uor$uequal'(sk1(X1,sk4),X1)
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X1)
| ~ 'in$uenvironment'(sk4,X0)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
( greater('growth$urate'('efficient$uproducers',sk5(sk2(sk4))),'growth$urate'('first$umovers',sk5(sk2(sk4))))
| 'greater$uor$uequal'(sk1(X2,sk4),X2)
| 'greater$uor$uequal'(sk1(X1,sk4),X1)
| 'greater$uor$uequal'(sk1(X0,sk4),X0)
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X2)
| ~ 'in$uenvironment'(sk4,X1)
| ~ 'in$uenvironment'(sk4,X0) ),
inference(resolution,[status(thm)],[c11,d8]) ).
cnf(d10,plain,
( greater('growth$urate'('efficient$uproducers',sk5(sk2(sk4))),'growth$urate'('first$umovers',sk5(sk2(sk4))))
| 'greater$uor$uequal'(sk1(X1,sk4),X1)
| 'greater$uor$uequal'(sk1(X0,sk4),X0)
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X1)
| ~ 'in$uenvironment'(sk4,X0)
| ~ 'in$uenvironment'(sk4,X0) ),
inference(factoring,[status(thm)],[d9]) ).
cnf(d11,plain,
( greater('growth$urate'('efficient$uproducers',sk5(sk2(sk4))),'growth$urate'('first$umovers',sk5(sk2(sk4))))
| 'greater$uor$uequal'(sk1(X0,sk4),X0)
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0)
| ~ 'in$uenvironment'(sk4,X0) ),
inference(factoring,[status(thm)],[d10]) ).
cnf(d12,plain,
( greater('growth$urate'('efficient$uproducers',sk2(sk4)),'growth$urate'('first$umovers',sk2(sk4)))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| 'greater$uor$uequal'(sk1(X0,sk4),X0)
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0) ),
inference(resolution,[status(thm)],[d11,c15]) ).
cnf(d13,plain,
( 'greater$uor$uequal'(sk1(X1,sk4),X1)
| ~ 'in$uenvironment'(sk4,X1)
| ~ environment(sk4)
| 'greater$uor$uequal'(sk1(X0,sk4),X0)
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0) ),
inference(resolution,[status(thm)],[d12,c4]) ).
cnf(d14,plain,
( 'greater$uor$uequal'(sk1(X1,sk4),X1)
| 'greater$uor$uequal'(sk1(X0,sk4),X0)
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X1)
| ~ 'in$uenvironment'(sk4,X0) ),
inference(resolution,[status(thm)],[c11,d13]) ).
cnf(d15,plain,
( 'greater$uor$uequal'(sk1(X0,sk4),X0)
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0)
| ~ 'in$uenvironment'(sk4,X0) ),
inference(factoring,[status(thm)],[d14]) ).
cnf(d16,plain,
( subpopulations('first$umovers','efficient$uproducers',X0,sk1(X1,X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| greater(sk5(sk2(X0)),sk2(X0))
| ~ 'in$uenvironment'(sk4,sk2(X0)) ),
inference(resolution,[status(thm)],[c14,c2]) ).
cnf(d17,plain,
( ~ stable(X0)
| greater('growth$urate'('efficient$uproducers',sk1(X1,X0)),'growth$urate'('first$umovers',sk1(X1,X0)))
| ~ 'greater$uor$uequal'(sk1(X1,X0),sk3(X0))
| ~ environment(X0)
| greater(sk5(sk2(X0)),sk2(X0))
| ~ 'in$uenvironment'(sk4,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d16,c10]) ).
cnf(d18,plain,
( ~ greater('growth$urate'('efficient$uproducers',sk2(X0)),'growth$urate'('first$umovers',sk2(X0)))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| ~ stable(X0)
| greater(sk5(sk2(X0)),sk2(X0))
| ~ 'greater$uor$uequal'(sk1(X1,X0),sk3(X0))
| ~ 'in$uenvironment'(sk4,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d17,c7]) ).
cnf(d19,plain,
( greater(sk5(sk2(X0)),sk2(X0))
| ~ 'in$uenvironment'(sk4,sk2(X0))
| ~ stable(X0)
| greater(sk5(sk2(X0)),sk2(X0))
| ~ 'greater$uor$uequal'(sk1(X1,X0),sk3(X0))
| ~ 'in$uenvironment'(sk4,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d18,c14]) ).
cnf(d20,plain,
( greater(sk5(sk2(X0)),sk2(X0))
| ~ 'in$uenvironment'(sk4,sk2(X0))
| ~ 'in$uenvironment'(X0,sk3(X0))
| ~ environment(X0)
| ~ stable(X0)
| greater(sk5(sk2(X0)),sk2(X0))
| ~ 'in$uenvironment'(sk4,sk2(X0))
| ~ 'in$uenvironment'(X0,sk3(X0))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d19,d4]) ).
cnf(d21,plain,
( subpopulations('first$umovers','efficient$uproducers',X0,sk1(X1,X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| subpopulations('first$umovers','efficient$uproducers',sk4,sk5(sk2(X0)))
| ~ 'in$uenvironment'(sk4,sk2(X0)) ),
inference(resolution,[status(thm)],[c13,c2]) ).
cnf(d22,plain,
( ~ stable(X0)
| greater('growth$urate'('efficient$uproducers',sk1(X1,X0)),'growth$urate'('first$umovers',sk1(X1,X0)))
| ~ 'greater$uor$uequal'(sk1(X1,X0),sk3(X0))
| ~ environment(X0)
| subpopulations('first$umovers','efficient$uproducers',sk4,sk5(sk2(X0)))
| ~ 'in$uenvironment'(sk4,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d21,c10]) ).
cnf(d23,plain,
( ~ greater('growth$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),sk3(X0))
| subpopulations('first$umovers','efficient$uproducers',sk4,sk5(sk2(X0)))
| ~ 'in$uenvironment'(sk4,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d22,c7]) ).
cnf(d24,plain,
( subpopulations('first$umovers','efficient$uproducers',sk4,sk5(sk2(X0)))
| ~ 'in$uenvironment'(sk4,sk2(X0))
| ~ stable(X0)
| ~ 'greater$uor$uequal'(sk1(X1,X0),sk3(X0))
| subpopulations('first$umovers','efficient$uproducers',sk4,sk5(sk2(X0)))
| ~ 'in$uenvironment'(sk4,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d23,c13]) ).
cnf(d25,plain,
( subpopulations('first$umovers','efficient$uproducers',sk4,sk5(sk2(X0)))
| ~ 'in$uenvironment'(sk4,sk2(X0))
| ~ 'in$uenvironment'(X0,sk3(X0))
| ~ environment(X0)
| ~ stable(X0)
| subpopulations('first$umovers','efficient$uproducers',sk4,sk5(sk2(X0)))
| ~ 'in$uenvironment'(sk4,sk2(X0))
| ~ 'in$uenvironment'(X0,sk3(X0))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d24,d5]) ).
cnf(d26,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| ~ stable(sk4)
| subpopulations('first$umovers','efficient$uproducers',sk4,sk5(sk2(sk4)))
| ~ 'in$uenvironment'(sk4,sk3(sk4))
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[d25,d3]) ).
cnf(d27,plain,
( ~ stable(sk4)
| subpopulations('first$umovers','efficient$uproducers',sk4,sk5(sk2(sk4)))
| ~ 'in$uenvironment'(sk4,sk3(sk4)) ),
inference(resolution,[status(thm)],[c11,d26]) ).
cnf(d28,plain,
( subpopulations('first$umovers','efficient$uproducers',sk4,sk5(sk2(sk4)))
| ~ 'in$uenvironment'(sk4,sk3(sk4)) ),
inference(resolution,[status(thm)],[c12,d27]) ).
cnf(d29,plain,
( greater('growth$urate'('efficient$uproducers',sk5(sk2(X0))),'growth$urate'('first$umovers',sk5(sk2(X0))))
| ~ greater(sk5(sk2(X0)),sk2(sk4))
| subpopulations('first$umovers','efficient$uproducers',sk4,sk1(X2,sk4))
| ~ 'in$uenvironment'(sk4,X2)
| ~ environment(sk4)
| subpopulations('first$umovers','efficient$uproducers',X0,sk1(X1,X0))
| ~ 'in$uenvironment'(sk4,sk2(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d21,c3]) ).
cnf(d30,plain,
( ~ greater(sk5(sk2(X0)),sk2(sk4))
| greater('growth$urate'('efficient$uproducers',sk5(sk2(X0))),'growth$urate'('first$umovers',sk5(sk2(X0))))
| subpopulations('first$umovers','efficient$uproducers',sk4,sk1(X2,sk4))
| subpopulations('first$umovers','efficient$uproducers',X0,sk1(X1,X0))
| ~ 'in$uenvironment'(sk4,sk2(X0))
| ~ 'in$uenvironment'(sk4,X2)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c11,d29]) ).
cnf(d31,plain,
( ~ greater(sk5(sk2(sk4)),sk2(sk4))
| greater('growth$urate'('efficient$uproducers',sk5(sk2(sk4))),'growth$urate'('first$umovers',sk5(sk2(sk4))))
| subpopulations('first$umovers','efficient$uproducers',sk4,sk1(X0,sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0)
| ~ 'in$uenvironment'(sk4,X0)
| ~ environment(sk4) ),
inference(factoring,[status(thm)],[d30]) ).
cnf(d32,plain,
( ~ greater(sk5(sk2(sk4)),sk2(sk4))
| greater('growth$urate'('efficient$uproducers',sk5(sk2(sk4))),'growth$urate'('first$umovers',sk5(sk2(sk4))))
| subpopulations('first$umovers','efficient$uproducers',sk4,sk1(X0,sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0) ),
inference(resolution,[status(thm)],[c11,d31]) ).
cnf(d33,plain,
( greater('growth$urate'('efficient$uproducers',sk2(sk4)),'growth$urate'('first$umovers',sk2(sk4)))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ greater(sk5(sk2(sk4)),sk2(sk4))
| subpopulations('first$umovers','efficient$uproducers',sk4,sk1(X0,sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0) ),
inference(resolution,[status(thm)],[d32,c15]) ).
cnf(d34,plain,
( subpopulations('first$umovers','efficient$uproducers',sk4,sk1(X1,sk4))
| ~ 'in$uenvironment'(sk4,X1)
| ~ environment(sk4)
| ~ greater(sk5(sk2(sk4)),sk2(sk4))
| subpopulations('first$umovers','efficient$uproducers',sk4,sk1(X0,sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0) ),
inference(resolution,[status(thm)],[d33,c2]) ).
cnf(d35,plain,
( ~ greater(sk5(sk2(sk4)),sk2(sk4))
| subpopulations('first$umovers','efficient$uproducers',sk4,sk1(X1,sk4))
| subpopulations('first$umovers','efficient$uproducers',sk4,sk1(X0,sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X1)
| ~ 'in$uenvironment'(sk4,X0) ),
inference(resolution,[status(thm)],[c11,d34]) ).
cnf(d36,plain,
( ~ greater(sk5(sk2(sk4)),sk2(sk4))
| subpopulations('first$umovers','efficient$uproducers',sk4,sk1(X0,sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0)
| ~ 'in$uenvironment'(sk4,X0) ),
inference(factoring,[status(thm)],[d35]) ).
cnf(d37,plain,
( ~ stable(sk4)
| greater('growth$urate'('efficient$uproducers',sk1(X0,sk4)),'growth$urate'('first$umovers',sk1(X0,sk4)))
| ~ 'greater$uor$uequal'(sk1(X0,sk4),sk3(sk4))
| ~ environment(sk4)
| ~ greater(sk5(sk2(sk4)),sk2(sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0) ),
inference(resolution,[status(thm)],[d36,c10]) ).
cnf(d38,plain,
( ~ stable(sk4)
| ~ greater(sk5(sk2(sk4)),sk2(sk4))
| greater('growth$urate'('efficient$uproducers',sk1(X0,sk4)),'growth$urate'('first$umovers',sk1(X0,sk4)))
| ~ 'greater$uor$uequal'(sk1(X0,sk4),sk3(sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0) ),
inference(resolution,[status(thm)],[c11,d37]) ).
cnf(d39,plain,
( ~ greater(sk5(sk2(sk4)),sk2(sk4))
| greater('growth$urate'('efficient$uproducers',sk1(X0,sk4)),'growth$urate'('first$umovers',sk1(X0,sk4)))
| ~ 'greater$uor$uequal'(sk1(X0,sk4),sk3(sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0) ),
inference(resolution,[status(thm)],[c12,d38]) ).
cnf(d40,plain,
( ~ greater('growth$urate'('efficient$uproducers',sk2(sk4)),'growth$urate'('first$umovers',sk2(sk4)))
| ~ 'in$uenvironment'(sk4,X0)
| ~ environment(sk4)
| ~ greater(sk5(sk2(sk4)),sk2(sk4))
| ~ 'greater$uor$uequal'(sk1(X0,sk4),sk3(sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0) ),
inference(resolution,[status(thm)],[d39,c7]) ).
cnf(d41,plain,
( ~ greater(sk5(sk2(sk4)),sk2(sk4))
| ~ greater('growth$urate'('efficient$uproducers',sk2(sk4)),'growth$urate'('first$umovers',sk2(sk4)))
| ~ 'greater$uor$uequal'(sk1(X0,sk4),sk3(sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0) ),
inference(resolution,[status(thm)],[c11,d40]) ).
cnf(d42,plain,
( greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| ~ greater(X1,sk2(sk4))
| ~ subpopulations('first$umovers','efficient$uproducers',sk4,X1)
| ~ 'in$uenvironment'(sk4,X0)
| ~ environment(sk4)
| ~ greater(sk5(sk2(sk4)),sk2(sk4))
| ~ 'greater$uor$uequal'(sk1(X0,sk4),sk3(sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0) ),
inference(resolution,[status(thm)],[d39,c8]) ).
cnf(d43,plain,
( ~ greater(sk5(sk2(sk4)),sk2(sk4))
| greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| ~ greater(X1,sk2(sk4))
| ~ 'greater$uor$uequal'(sk1(X0,sk4),sk3(sk4))
| ~ subpopulations('first$umovers','efficient$uproducers',sk4,X1)
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0) ),
inference(resolution,[status(thm)],[c11,d42]) ).
cnf(d44,plain,
( ~ stable(sk4)
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,sk3(sk4))
| ~ environment(sk4)
| greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| ~ greater(X1,sk2(sk4))
| ~ 'greater$uor$uequal'(sk1(X0,sk4),sk3(sk4))
| ~ subpopulations('first$umovers','efficient$uproducers',sk4,X1)
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0) ),
inference(resolution,[status(thm)],[d43,d20]) ).
cnf(d45,plain,
( ~ stable(sk4)
| greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| ~ greater(X1,sk2(sk4))
| ~ 'greater$uor$uequal'(sk1(X0,sk4),sk3(sk4))
| ~ subpopulations('first$umovers','efficient$uproducers',sk4,X1)
| ~ 'in$uenvironment'(sk4,sk3(sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0) ),
inference(resolution,[status(thm)],[c11,d44]) ).
cnf(d46,plain,
( greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| ~ greater(X1,sk2(sk4))
| ~ 'greater$uor$uequal'(sk1(X0,sk4),sk3(sk4))
| ~ subpopulations('first$umovers','efficient$uproducers',sk4,X1)
| ~ 'in$uenvironment'(sk4,sk3(sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0) ),
inference(resolution,[status(thm)],[c12,d45]) ).
cnf(d47,plain,
( ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,sk3(sk4))
| greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| ~ greater(X0,sk2(sk4))
| ~ subpopulations('first$umovers','efficient$uproducers',sk4,X0)
| ~ 'in$uenvironment'(sk4,sk3(sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,sk3(sk4)) ),
inference(resolution,[status(thm)],[d46,d15]) ).
cnf(d48,plain,
( greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| ~ 'in$uenvironment'(sk4,X0)
| ~ greater(sk5(X0),sk2(sk4))
| ~ subpopulations('first$umovers','efficient$uproducers',sk4,sk5(X0))
| ~ 'in$uenvironment'(sk4,sk3(sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4)) ),
inference(resolution,[status(thm)],[d47,c15]) ).
cnf(d49,plain,
( ~ greater(sk5(sk2(sk4)),sk2(sk4))
| ~ 'greater$uor$uequal'(sk1(X0,sk4),sk3(sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0)
| ~ greater(sk5(sk2(sk4)),sk2(sk4))
| ~ subpopulations('first$umovers','efficient$uproducers',sk4,sk5(sk2(sk4)))
| ~ 'in$uenvironment'(sk4,sk3(sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4)) ),
inference(resolution,[status(thm)],[d48,d41]) ).
cnf(d50,plain,
( ~ 'in$uenvironment'(sk4,sk3(sk4))
| ~ greater(sk5(sk2(sk4)),sk2(sk4))
| ~ 'greater$uor$uequal'(sk1(X0,sk4),sk3(sk4))
| ~ 'in$uenvironment'(sk4,sk3(sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0) ),
inference(resolution,[status(thm)],[d49,d28]) ).
cnf(d51,plain,
( ~ stable(sk4)
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,sk3(sk4))
| ~ environment(sk4)
| ~ 'greater$uor$uequal'(sk1(X0,sk4),sk3(sk4))
| ~ 'in$uenvironment'(sk4,sk3(sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0) ),
inference(resolution,[status(thm)],[d50,d20]) ).
cnf(d52,plain,
( ~ stable(sk4)
| ~ 'greater$uor$uequal'(sk1(X0,sk4),sk3(sk4))
| ~ 'in$uenvironment'(sk4,sk3(sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0) ),
inference(resolution,[status(thm)],[c11,d51]) ).
cnf(d53,plain,
( ~ 'greater$uor$uequal'(sk1(X0,sk4),sk3(sk4))
| ~ 'in$uenvironment'(sk4,sk3(sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,X0) ),
inference(resolution,[status(thm)],[c12,d52]) ).
cnf(d54,plain,
( ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,sk3(sk4))
| ~ 'in$uenvironment'(sk4,sk3(sk4))
| ~ 'in$uenvironment'(sk4,sk2(sk4))
| ~ 'in$uenvironment'(sk4,sk3(sk4)) ),
inference(resolution,[status(thm)],[d53,d15]) ).
cnf(d55,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| ~ 'in$uenvironment'(sk4,sk2(sk4)) ),
inference(resolution,[status(thm)],[d54,c9]) ).
cnf(d56,plain,
( ~ stable(sk4)
| ~ 'in$uenvironment'(sk4,sk2(sk4)) ),
inference(resolution,[status(thm)],[c11,d55]) ).
cnf(d57,plain,
~ 'in$uenvironment'(sk4,sk2(sk4)),
inference(resolution,[status(thm)],[c12,d56]) ).
cnf(d58,plain,
( ~ stable(sk4)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[d57,d3]) ).
cnf(d59,plain,
~ stable(sk4),
inference(resolution,[status(thm)],[c11,d58]) ).
cnf(d60,plain,
$false,
inference(resolution,[status(thm)],[c12,d59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT030-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.56 % Computer : n019.cluster.edu
% 0.10/0.56 % Model : x86_64 x86_64
% 0.10/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.56 % Memory : 8046.5625MB
% 0.10/0.56 % OS : Linux 6.8.0-71-generic
% 0.10/0.56 % CPULimit : 300
% 0.10/0.56 % WCLimit : 300
% 0.10/0.56 % DateTime : Sat Sep 26 00:05:21 UTC 2026
% 0.10/0.56 % CPUTime :
% 0.10/0.56 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.94/2.40 % SZS status Unsatisfiable for theBenchmark.p
% 13.94/2.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------