%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT027-1 : 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 : n026.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 08:01:05 AM UTC 2026
% Result : Unsatisfiable 8.33s 3.16s
% Output : CNFRefutation 8.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 16
% Syntax : Number of clauses : 80 ( 9 unt; 20 nHn; 79 RR)
% Number of literals : 373 ( 20 equ; 266 neg)
% Maximal clause size : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 102 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_contracts_from_24,axiom,
( 'contracts$ufrom'(X1,'first$umovers')
| greater('cardinality$uat$utime'('first$umovers',sk1(X1,X0)),zero)
| ~ 'in$uenvironment'(X0,X1)
| ~ stable(X0)
| ~ environment(X0) ) ).
cnf(mp_contracts_from_25,axiom,
( 'contracts$ufrom'(X1,'first$umovers')
| 'greater$uor$uequal'(sk1(X1,X0),X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ stable(X0)
| ~ environment(X0) ) ).
cnf(mp_contracts_from_26,axiom,
( 'contracts$ufrom'(X1,'first$umovers')
| ~ greater(zero,'growth$urate'('first$umovers',sk1(X1,X0)))
| ~ 'in$uenvironment'(X0,X1)
| ~ stable(X0)
| ~ environment(X0) ) ).
cnf(mp_non_empty_fm_and_ep_27,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$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_long_stable_environments_28,axiom,
( 'in$uenvironment'(X0,X2)
| ~ greater(X2,X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ stable(X0)
| ~ environment(X0) ) ).
cnf(mp_EP_in_stable_environments_29,axiom,
( 'in$uenvironment'(X0,appear('efficient$uproducers',X0))
| ~ stable(X0)
| ~ environment(X0) ) ).
cnf(mp_greater_transitivity_30,axiom,
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ) ).
cnf(mp_greater_or_equal_31,axiom,
( X0 = X1
| greater(X0,X1)
| ~ 'greater$uor$uequal'(X0,X1) ) ).
cnf(mp_greater_or_equal_32,axiom,
( 'greater$uor$uequal'(X0,X1)
| ~ greater(X0,X1) ) ).
cnf(mp_greater_or_equal_33,axiom,
( 'greater$uor$uequal'(X0,X1)
| X0 != X1 ) ).
cnf(t6_34,hypothesis,
( greater('cardinality$uat$utime'('efficient$uproducers',X1),zero)
| ~ 'greater$uor$uequal'(X1,appear('efficient$uproducers',X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(l10_35,hypothesis,
( greater(sk2(X0),appear('efficient$uproducers',X0))
| ~ stable(X0)
| ~ environment(X0) ) ).
cnf(l10_36,hypothesis,
( greater(zero,'growth$urate'('first$umovers',X1))
| ~ 'greater$uor$uequal'(X1,sk2(X0))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ stable(X0)
| ~ environment(X0) ) ).
cnf(prove_l9_37,negated_conjecture,
environment(sk3) ).
cnf(prove_l9_38,negated_conjecture,
stable(sk3) ).
cnf(prove_l9_39,negated_conjecture,
( ~ 'contracts$ufrom'(X0,'first$umovers')
| ~ greater(X0,appear('efficient$uproducers',sk3)) ) ).
cnf(c0,plain,
( ~ environment(X0)
| greater('cardinality$uat$utime'('first$umovers',sk1(X1,X0)),zero)
| ~ 'in$uenvironment'(X0,X1)
| 'contracts$ufrom'(X1,'first$umovers')
| ~ stable(X0) ),
inference(clausification,[status(esa)],[mp_contracts_from_24]) ).
cnf(c1,plain,
( ~ environment(X1)
| 'contracts$ufrom'(X0,'first$umovers')
| ~ 'in$uenvironment'(X1,X0)
| ~ stable(X1)
| 'greater$uor$uequal'(sk1(X0,X1),X0) ),
inference(clausification,[status(esa)],[mp_contracts_from_25]) ).
cnf(c2,plain,
( ~ stable(X1)
| ~ 'in$uenvironment'(X1,X0)
| ~ environment(X1)
| 'contracts$ufrom'(X0,'first$umovers')
| ~ greater(zero,'growth$urate'('first$umovers',sk1(X0,X1))) ),
inference(clausification,[status(esa)],[mp_contracts_from_26]) ).
cnf(c3,plain,
( ~ 'in$uenvironment'(X1,X0)
| ~ environment(X1)
| ~ greater('cardinality$uat$utime'('first$umovers',X0),zero)
| subpopulations('first$umovers','efficient$uproducers',X1,X0)
| ~ greater('cardinality$uat$utime'('efficient$uproducers',X0),zero) ),
inference(clausification,[status(esa)],[mp_non_empty_fm_and_ep_27]) ).
cnf(c4,plain,
( 'in$uenvironment'(X0,X2)
| ~ greater(X2,X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| ~ stable(X0) ),
inference(clausification,[status(esa)],[mp_long_stable_environments_28]) ).
cnf(c5,plain,
( 'in$uenvironment'(X0,appear('efficient$uproducers',X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_EP_in_stable_environments_29]) ).
cnf(c6,plain,
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[mp_greater_transitivity_30]) ).
cnf(c7,plain,
( X0 = X1
| greater(X0,X1)
| ~ 'greater$uor$uequal'(X0,X1) ),
inference(clausification,[status(esa)],[mp_greater_or_equal_31]) ).
cnf(c8,plain,
( 'greater$uor$uequal'(X0,X1)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[mp_greater_or_equal_32]) ).
cnf(c9,plain,
( 'greater$uor$uequal'(X0,X1)
| X0 != X1 ),
inference(clausification,[status(esa)],[mp_greater_or_equal_33]) ).
cnf(c10,plain,
( greater('cardinality$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_34]) ).
cnf(c11,plain,
( greater(sk2(X0),appear('efficient$uproducers',X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[l10_35]) ).
cnf(c12,plain,
( greater(zero,'growth$urate'('first$umovers',X1))
| ~ 'greater$uor$uequal'(X1,sk2(X0))
| ~ stable(X0)
| ~ environment(X0)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1) ),
inference(clausification,[status(esa)],[l10_36]) ).
cnf(c13,plain,
environment(sk3),
inference(clausification,[status(esa)],[prove_l9_37]) ).
cnf(c14,plain,
stable(sk3),
inference(clausification,[status(esa)],[prove_l9_38]) ).
cnf(c15,plain,
( ~ 'contracts$ufrom'(X0,'first$umovers')
| ~ greater(X0,appear('efficient$uproducers',sk3)) ),
inference(clausification,[status(esa)],[prove_l9_39]) ).
cnf(d0,plain,
( 'in$uenvironment'(X1,sk2(X0))
| ~ 'in$uenvironment'(X1,appear('efficient$uproducers',X0))
| ~ environment(X1)
| ~ stable(X1)
| ~ environment(X0)
| ~ stable(X0) ),
inference(resolution,[status(thm)],[c11,c4]) ).
cnf(d1,plain,
( ~ environment(X0)
| ~ stable(X0)
| 'in$uenvironment'(X0,sk2(X0))
| ~ environment(X0)
| ~ environment(X0)
| ~ stable(X0)
| ~ stable(X0) ),
inference(resolution,[status(thm)],[d0,c5]) ).
cnf(d2,plain,
( ~ 'contracts$ufrom'(sk2(sk3),'first$umovers')
| ~ environment(sk3)
| ~ stable(sk3) ),
inference(resolution,[status(thm)],[c11,c15]) ).
cnf(d3,plain,
( ~ 'contracts$ufrom'(sk2(sk3),'first$umovers')
| ~ stable(sk3) ),
inference(resolution,[status(thm)],[c13,d2]) ).
cnf(d4,plain,
~ 'contracts$ufrom'(sk2(sk3),'first$umovers'),
inference(resolution,[status(thm)],[c14,d3]) ).
cnf(d5,plain,
( 'contracts$ufrom'(X0,'first$umovers')
| ~ 'in$uenvironment'(X1,X0)
| ~ environment(X1)
| ~ stable(X1)
| greater(sk1(X0,X1),X0)
| sk1(X0,X1) = X0 ),
inference(resolution,[status(thm)],[c7,c1]) ).
cnf(d6,plain,
( ~ greater(X1,sk2(X0))
| greater(X1,appear('efficient$uproducers',X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(resolution,[status(thm)],[c11,c6]) ).
cnf(d7,plain,
( 'in$uenvironment'(X2,X1)
| ~ 'in$uenvironment'(X2,appear('efficient$uproducers',X0))
| ~ environment(X2)
| ~ stable(X2)
| ~ greater(X1,sk2(X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(resolution,[status(thm)],[d6,c4]) ).
cnf(d8,plain,
( ~ environment(X0)
| ~ stable(X0)
| ~ greater(X1,sk2(X0))
| 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| ~ environment(X0)
| ~ stable(X0)
| ~ stable(X0) ),
inference(resolution,[status(thm)],[d7,c5]) ).
cnf(d9,plain,
( 'contracts$ufrom'(sk2(X0),'first$umovers')
| ~ 'in$uenvironment'(X1,sk2(X0))
| ~ environment(X1)
| ~ stable(X1)
| sk1(sk2(X0),X1) = sk2(X0)
| 'in$uenvironment'(X0,sk1(sk2(X0),X1))
| ~ environment(X0)
| ~ stable(X0) ),
inference(resolution,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
( 'greater$uor$uequal'(X1,appear('efficient$uproducers',X0))
| ~ greater(X1,sk2(X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(resolution,[status(thm)],[d6,c8]) ).
cnf(d11,plain,
( greater('cardinality$uat$utime'('efficient$uproducers',X1),zero)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| ~ greater(X1,sk2(X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(resolution,[status(thm)],[d10,c10]) ).
cnf(d12,plain,
( 'contracts$ufrom'(sk2(X0),'first$umovers')
| ~ 'in$uenvironment'(X1,sk2(X0))
| ~ environment(X1)
| ~ stable(X1)
| sk1(sk2(X0),X1) = sk2(X0)
| greater('cardinality$uat$utime'('efficient$uproducers',sk1(sk2(X0),X1)),zero)
| ~ 'in$uenvironment'(X0,sk1(sk2(X0),X1))
| ~ environment(X0)
| ~ stable(X0) ),
inference(resolution,[status(thm)],[d11,d5]) ).
cnf(d13,plain,
( 'contracts$ufrom'(sk2(X0),'first$umovers')
| ~ 'in$uenvironment'(X1,sk2(X0))
| ~ environment(X0)
| ~ environment(X1)
| ~ stable(X0)
| ~ stable(X1)
| sk1(sk2(X0),X1) = sk2(X0)
| greater('cardinality$uat$utime'('efficient$uproducers',sk1(sk2(X0),X1)),zero)
| 'contracts$ufrom'(sk2(X0),'first$umovers')
| ~ 'in$uenvironment'(X1,sk2(X0))
| ~ environment(X0)
| ~ environment(X1)
| ~ stable(X0)
| ~ stable(X1)
| sk1(sk2(X0),X1) = sk2(X0) ),
inference(resolution,[status(thm)],[d12,d9]) ).
cnf(d14,plain,
( subpopulations('first$umovers','efficient$uproducers',X2,sk1(sk2(X0),X1))
| ~ greater('cardinality$uat$utime'('first$umovers',sk1(sk2(X0),X1)),zero)
| ~ 'in$uenvironment'(X2,sk1(sk2(X0),X1))
| ~ environment(X2)
| 'contracts$ufrom'(sk2(X0),'first$umovers')
| ~ 'in$uenvironment'(X1,sk2(X0))
| ~ environment(X0)
| ~ environment(X1)
| ~ stable(X0)
| ~ stable(X1)
| sk1(sk2(X0),X1) = sk2(X0) ),
inference(resolution,[status(thm)],[d13,c3]) ).
cnf(d15,plain,
( 'contracts$ufrom'(sk2(X0),'first$umovers')
| ~ 'in$uenvironment'(X1,sk2(X0))
| ~ environment(X1)
| ~ stable(X1)
| subpopulations('first$umovers','efficient$uproducers',X2,sk1(sk2(X0),X1))
| 'contracts$ufrom'(sk2(X0),'first$umovers')
| ~ 'in$uenvironment'(X1,sk2(X0))
| ~ 'in$uenvironment'(X2,sk1(sk2(X0),X1))
| ~ environment(X0)
| ~ environment(X1)
| ~ environment(X2)
| ~ stable(X0)
| ~ stable(X1)
| sk1(sk2(X0),X1) = sk2(X0) ),
inference(resolution,[status(thm)],[d14,c0]) ).
cnf(d16,plain,
( ~ 'greater$uor$uequal'(sk1(sk2(X0),X1),sk2(X2))
| greater(zero,'growth$urate'('first$umovers',sk1(sk2(X0),X1)))
| ~ environment(X2)
| ~ stable(X2)
| 'contracts$ufrom'(sk2(X0),'first$umovers')
| ~ 'in$uenvironment'(X1,sk2(X0))
| ~ 'in$uenvironment'(X2,sk1(sk2(X0),X1))
| ~ environment(X0)
| ~ environment(X1)
| ~ environment(X2)
| ~ stable(X0)
| ~ stable(X1)
| sk1(sk2(X0),X1) = sk2(X0) ),
inference(resolution,[status(thm)],[d15,c12]) ).
cnf(d17,plain,
( 'contracts$ufrom'(sk2(X0),'first$umovers')
| ~ 'in$uenvironment'(X1,sk2(X0))
| ~ environment(X1)
| ~ stable(X1)
| greater(zero,'growth$urate'('first$umovers',sk1(sk2(X0),X1)))
| 'contracts$ufrom'(sk2(X0),'first$umovers')
| ~ 'in$uenvironment'(X1,sk2(X0))
| ~ 'in$uenvironment'(X0,sk1(sk2(X0),X1))
| ~ environment(X0)
| ~ environment(X1)
| ~ environment(X0)
| ~ stable(X0)
| ~ stable(X1)
| ~ stable(X0)
| sk1(sk2(X0),X1) = sk2(X0) ),
inference(resolution,[status(thm)],[d16,c1]) ).
cnf(d18,plain,
( 'contracts$ufrom'(sk2(X0),'first$umovers')
| ~ 'in$uenvironment'(X1,sk2(X0))
| ~ environment(X0)
| ~ environment(X1)
| ~ stable(X0)
| ~ stable(X1)
| sk1(sk2(X0),X1) = sk2(X0)
| greater(zero,'growth$urate'('first$umovers',sk1(sk2(X0),X1)))
| 'contracts$ufrom'(sk2(X0),'first$umovers')
| ~ 'in$uenvironment'(X1,sk2(X0))
| ~ environment(X0)
| ~ environment(X1)
| ~ stable(X0)
| ~ stable(X1)
| sk1(sk2(X0),X1) = sk2(X0) ),
inference(resolution,[status(thm)],[d17,d9]) ).
cnf(d19,plain,
( 'contracts$ufrom'(sk2(X0),'first$umovers')
| ~ 'in$uenvironment'(X1,sk2(X0))
| ~ environment(X1)
| ~ stable(X1)
| 'contracts$ufrom'(sk2(X0),'first$umovers')
| ~ 'in$uenvironment'(X1,sk2(X0))
| ~ environment(X0)
| ~ environment(X1)
| ~ stable(X0)
| ~ stable(X1)
| sk1(sk2(X0),X1) = sk2(X0) ),
inference(resolution,[status(thm)],[d18,c2]) ).
cnf(d20,plain,
( ~ environment(X0)
| ~ stable(X0)
| 'contracts$ufrom'(sk2(X0),'first$umovers')
| ~ environment(X0)
| ~ environment(X0)
| ~ stable(X0)
| ~ stable(X0)
| sk1(sk2(X0),X0) = sk2(X0) ),
inference(resolution,[status(thm)],[d19,d1]) ).
cnf(d21,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| sk1(sk2(sk3),sk3) = sk2(sk3) ),
inference(resolution,[status(thm)],[d20,d4]) ).
cnf(d22,plain,
( ~ stable(sk3)
| sk1(sk2(sk3),sk3) = sk2(sk3) ),
inference(resolution,[status(thm)],[c13,d21]) ).
cnf(d23,plain,
sk1(sk2(sk3),sk3) = sk2(sk3),
inference(resolution,[status(thm)],[c14,d22]) ).
cnf(d24,plain,
( 'contracts$ufrom'(sk2(sk3),'first$umovers')
| ~ 'in$uenvironment'(sk3,sk2(sk3))
| ~ environment(sk3)
| ~ stable(sk3)
| ~ greater(zero,'growth$urate'('first$umovers',sk2(sk3))) ),
inference(superposition,[status(thm)],[d23,c2]) ).
cnf(d25,plain,
( ~ greater(zero,'growth$urate'('first$umovers',sk2(sk3)))
| 'contracts$ufrom'(sk2(sk3),'first$umovers')
| ~ 'in$uenvironment'(sk3,sk2(sk3))
| ~ stable(sk3) ),
inference(resolution,[status(thm)],[c13,d24]) ).
cnf(d26,plain,
( ~ greater(zero,'growth$urate'('first$umovers',sk2(sk3)))
| 'contracts$ufrom'(sk2(sk3),'first$umovers')
| ~ 'in$uenvironment'(sk3,sk2(sk3)) ),
inference(resolution,[status(thm)],[c14,d25]) ).
cnf(d27,plain,
( ~ greater(zero,'growth$urate'('first$umovers',sk2(sk3)))
| ~ 'in$uenvironment'(sk3,sk2(sk3)) ),
inference(resolution,[status(thm)],[d4,d26]) ).
cnf(d28,plain,
'greater$uor$uequal'(X0,X0),
inference(equality_resolution,[status(thm)],[c9]) ).
cnf(d29,plain,
( 'greater$uor$uequal'(sk2(X0),appear('efficient$uproducers',X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(resolution,[status(thm)],[c11,c8]) ).
cnf(d30,plain,
( greater('cardinality$uat$utime'('efficient$uproducers',sk2(X0)),zero)
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ environment(X0)
| ~ environment(X0)
| ~ stable(X0) ),
inference(resolution,[status(thm)],[d29,c10]) ).
cnf(d31,plain,
( ~ environment(X0)
| ~ stable(X0)
| greater('cardinality$uat$utime'('efficient$uproducers',sk2(X0)),zero)
| ~ environment(X0)
| ~ stable(X0) ),
inference(resolution,[status(thm)],[d30,d1]) ).
cnf(d32,plain,
( subpopulations('first$umovers','efficient$uproducers',X1,sk2(X0))
| ~ greater('cardinality$uat$utime'('first$umovers',sk2(X0)),zero)
| ~ 'in$uenvironment'(X1,sk2(X0))
| ~ environment(X1)
| ~ environment(X0)
| ~ stable(X0) ),
inference(resolution,[status(thm)],[d31,c3]) ).
cnf(d33,plain,
( 'contracts$ufrom'(sk2(sk3),'first$umovers')
| ~ 'in$uenvironment'(sk3,sk2(sk3))
| ~ environment(sk3)
| ~ stable(sk3)
| greater('cardinality$uat$utime'('first$umovers',sk2(sk3)),zero) ),
inference(superposition,[status(thm)],[d23,c0]) ).
cnf(d34,plain,
( greater('cardinality$uat$utime'('first$umovers',sk2(sk3)),zero)
| 'contracts$ufrom'(sk2(sk3),'first$umovers')
| ~ 'in$uenvironment'(sk3,sk2(sk3))
| ~ stable(sk3) ),
inference(resolution,[status(thm)],[c13,d33]) ).
cnf(d35,plain,
( greater('cardinality$uat$utime'('first$umovers',sk2(sk3)),zero)
| 'contracts$ufrom'(sk2(sk3),'first$umovers')
| ~ 'in$uenvironment'(sk3,sk2(sk3)) ),
inference(resolution,[status(thm)],[c14,d34]) ).
cnf(d36,plain,
( greater('cardinality$uat$utime'('first$umovers',sk2(sk3)),zero)
| ~ 'in$uenvironment'(sk3,sk2(sk3)) ),
inference(resolution,[status(thm)],[d4,d35]) ).
cnf(d37,plain,
( subpopulations('first$umovers','efficient$uproducers',X0,sk2(sk3))
| ~ 'in$uenvironment'(X0,sk2(sk3))
| ~ environment(sk3)
| ~ environment(X0)
| ~ stable(sk3)
| ~ 'in$uenvironment'(sk3,sk2(sk3)) ),
inference(resolution,[status(thm)],[d36,d32]) ).
cnf(d38,plain,
( subpopulations('first$umovers','efficient$uproducers',X0,sk2(sk3))
| ~ 'in$uenvironment'(sk3,sk2(sk3))
| ~ 'in$uenvironment'(X0,sk2(sk3))
| ~ environment(X0)
| ~ stable(sk3) ),
inference(resolution,[status(thm)],[c13,d37]) ).
cnf(d39,plain,
( subpopulations('first$umovers','efficient$uproducers',X0,sk2(sk3))
| ~ 'in$uenvironment'(sk3,sk2(sk3))
| ~ 'in$uenvironment'(X0,sk2(sk3))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c14,d38]) ).
cnf(d40,plain,
( ~ 'greater$uor$uequal'(sk2(sk3),sk2(X0))
| greater(zero,'growth$urate'('first$umovers',sk2(sk3)))
| ~ environment(X0)
| ~ stable(X0)
| ~ 'in$uenvironment'(sk3,sk2(sk3))
| ~ 'in$uenvironment'(X0,sk2(sk3))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d39,c12]) ).
cnf(d41,plain,
( greater(zero,'growth$urate'('first$umovers',sk2(sk3)))
| ~ 'in$uenvironment'(sk3,sk2(sk3))
| ~ 'in$uenvironment'(sk3,sk2(sk3))
| ~ environment(sk3)
| ~ stable(sk3) ),
inference(resolution,[status(thm)],[d40,d28]) ).
cnf(d42,plain,
( greater(zero,'growth$urate'('first$umovers',sk2(sk3)))
| ~ 'in$uenvironment'(sk3,sk2(sk3))
| ~ stable(sk3) ),
inference(resolution,[status(thm)],[c13,d41]) ).
cnf(d43,plain,
( greater(zero,'growth$urate'('first$umovers',sk2(sk3)))
| ~ 'in$uenvironment'(sk3,sk2(sk3)) ),
inference(resolution,[status(thm)],[c14,d42]) ).
cnf(d44,plain,
( ~ 'in$uenvironment'(sk3,sk2(sk3))
| ~ 'in$uenvironment'(sk3,sk2(sk3)) ),
inference(resolution,[status(thm)],[d43,d27]) ).
cnf(d45,plain,
( ~ environment(sk3)
| ~ stable(sk3) ),
inference(resolution,[status(thm)],[d44,d1]) ).
cnf(d46,plain,
~ stable(sk3),
inference(resolution,[status(thm)],[c13,d45]) ).
cnf(d47,plain,
$false,
inference(resolution,[status(thm)],[c14,d46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT027-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n026.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Sat Sep 26 00:07:40 UTC 2026
% 0.17/0.46 % CPUTime :
% 0.17/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.33/3.16 % SZS status Unsatisfiable for theBenchmark.p
% 8.33/3.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------