%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT039-1 : 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 : n009.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 : Unsatisfiable 7.97s 2.31s
% Output : CNFRefutation 7.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 18
% Syntax : Number of clauses : 100 ( 18 unt; 46 nHn; 99 RR)
% Number of literals : 319 ( 53 equ; 165 neg)
% Maximal clause size : 11 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp3_favoured_trategy_20,axiom,
( 'selection$ufavors'('efficient$uproducers','first$umovers',X0)
| environment(sk1(X0))
| ~ 'propagation$ustrategy'('efficient$uproducers')
| ~ 'propagation$ustrategy'('first$umovers')
| ~ 'observational$uperiod'(X0) ) ).
cnf(mp3_favoured_trategy_21,axiom,
( 'selection$ufavors'('efficient$uproducers','first$umovers',X0)
| 'in$uenvironment'(X0,sk1(X0))
| ~ 'propagation$ustrategy'('efficient$uproducers')
| ~ 'propagation$ustrategy'('first$umovers')
| ~ 'observational$uperiod'(X0) ) ).
cnf(mp3_favoured_trategy_22,axiom,
( 'selection$ufavors'('efficient$uproducers','first$umovers',X0)
| ~ 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(X0)))
| ~ 'propagation$ustrategy'('efficient$uproducers')
| ~ 'propagation$ustrategy'('first$umovers')
| ~ 'observational$uperiod'(X0) ) ).
cnf(mp4_critical_point_23,axiom,
( 'in$uenvironment'(X1,sk2(X1,X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X1)
| ~ 'slow$uchange'(X0)
| ~ 'observational$uperiod'(X0) ) ).
cnf(mp4_critical_point_24,axiom,
( greater(sk2(X1,X0),'critical$upoint'(X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X1)
| ~ 'slow$uchange'(X0)
| ~ 'observational$uperiod'(X0) ) ).
cnf(mp_organizational_sets1_25,axiom,
'propagation$ustrategy'('first$umovers') ).
cnf(mp_organizational_sets2_26,axiom,
'propagation$ustrategy'('efficient$uproducers') ).
cnf(mp_time_in_environment_27,axiom,
( 'in$uenvironment'(X0,X1)
| ~ 'greater$uor$uequal'('end$utime'(X0),X1)
| ~ 'greater$uor$uequal'(X1,'start$utime'(X0))
| ~ environment(X0) ) ).
cnf(mp_environment_end_point_28,axiom,
( 'greater$uor$uequal'('end$utime'(X0),X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_time_of_critical_point_29,axiom,
( 'greater$uor$uequal'('critical$upoint'(X0),'start$utime'(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(l8_35,hypothesis,
( 'selection$ufavors'('efficient$uproducers','first$umovers',X1)
| ~ greater(X1,'critical$upoint'(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(prove_t8_36,negated_conjecture,
'observational$uperiod'(sk3) ).
cnf(prove_t8_37,negated_conjecture,
'slow$uchange'(sk3) ).
cnf(prove_t8_38,negated_conjecture,
~ 'selection$ufavors'('efficient$uproducers','first$umovers',sk3) ).
cnf(c0,plain,
( ~ 'observational$uperiod'(X0)
| environment(sk1(X0))
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0)
| ~ 'propagation$ustrategy'('first$umovers')
| ~ 'propagation$ustrategy'('efficient$uproducers') ),
inference(clausification,[status(esa)],[mp3_favoured_trategy_20]) ).
cnf(c1,plain,
( ~ 'propagation$ustrategy'('first$umovers')
| ~ 'observational$uperiod'(X0)
| ~ 'propagation$ustrategy'('efficient$uproducers')
| 'in$uenvironment'(X0,sk1(X0))
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0) ),
inference(clausification,[status(esa)],[mp3_favoured_trategy_21]) ).
cnf(c2,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers',X0)
| ~ 'propagation$ustrategy'('first$umovers')
| ~ 'propagation$ustrategy'('efficient$uproducers')
| ~ 'observational$uperiod'(X0)
| ~ 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(X0))) ),
inference(clausification,[status(esa)],[mp3_favoured_trategy_22]) ).
cnf(c3,plain,
( ~ environment(X1)
| 'in$uenvironment'(X1,sk2(X1,X0))
| ~ 'observational$uperiod'(X0)
| ~ 'slow$uchange'(X0)
| ~ 'in$uenvironment'(X0,X1) ),
inference(clausification,[status(esa)],[mp4_critical_point_23]) ).
cnf(c4,plain,
( ~ 'in$uenvironment'(X0,X1)
| ~ 'slow$uchange'(X0)
| ~ environment(X1)
| greater(sk2(X1,X0),'critical$upoint'(X1))
| ~ 'observational$uperiod'(X0) ),
inference(clausification,[status(esa)],[mp4_critical_point_24]) ).
cnf(c5,plain,
'propagation$ustrategy'('first$umovers'),
inference(clausification,[status(esa)],[mp_organizational_sets1_25]) ).
cnf(c6,plain,
'propagation$ustrategy'('efficient$uproducers'),
inference(clausification,[status(esa)],[mp_organizational_sets2_26]) ).
cnf(c7,plain,
( 'in$uenvironment'(X0,X1)
| ~ 'greater$uor$uequal'('end$utime'(X0),X1)
| ~ 'greater$uor$uequal'(X1,'start$utime'(X0))
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_time_in_environment_27]) ).
cnf(c8,plain,
( 'greater$uor$uequal'('end$utime'(X0),X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_environment_end_point_28]) ).
cnf(c9,plain,
( 'greater$uor$uequal'('critical$upoint'(X0),'start$utime'(X0))
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_time_of_critical_point_29]) ).
cnf(c10,plain,
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[mp_greater_transitivity_30]) ).
cnf(c11,plain,
( X0 = X1
| greater(X0,X1)
| ~ 'greater$uor$uequal'(X0,X1) ),
inference(clausification,[status(esa)],[mp_greater_or_equal_31]) ).
cnf(c12,plain,
( 'greater$uor$uequal'(X0,X1)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[mp_greater_or_equal_32]) ).
cnf(c13,plain,
( 'greater$uor$uequal'(X0,X1)
| X0 != X1 ),
inference(clausification,[status(esa)],[mp_greater_or_equal_33]) ).
cnf(c15,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers',X1)
| ~ greater(X1,'critical$upoint'(X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[l8_35]) ).
cnf(c16,plain,
'observational$uperiod'(sk3),
inference(clausification,[status(esa)],[prove_t8_36]) ).
cnf(c17,plain,
'slow$uchange'(sk3),
inference(clausification,[status(esa)],[prove_t8_37]) ).
cnf(c18,plain,
~ 'selection$ufavors'('efficient$uproducers','first$umovers',sk3),
inference(clausification,[status(esa)],[prove_t8_38]) ).
cnf(d0,plain,
( ~ 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(X0)))
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0)
| ~ 'propagation$ustrategy'('efficient$uproducers')
| ~ 'observational$uperiod'(X0) ),
inference(resolution,[status(thm)],[c5,c2]) ).
cnf(d1,plain,
( ~ 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(X0)))
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0)
| ~ 'observational$uperiod'(X0) ),
inference(resolution,[status(thm)],[c6,d0]) ).
cnf(d2,plain,
( ~ 'slow$uchange'(X1)
| ~ 'in$uenvironment'(X1,X0)
| ~ environment(X0)
| ~ 'observational$uperiod'(X1)
| ~ 'in$uenvironment'(X0,sk2(X0,X1))
| ~ environment(X0)
| 'selection$ufavors'('efficient$uproducers','first$umovers',sk2(X0,X1)) ),
inference(resolution,[status(thm)],[c15,c4]) ).
cnf(d3,plain,
( ~ 'slow$uchange'(X0)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X1)
| ~ 'observational$uperiod'(X0)
| ~ 'slow$uchange'(X0)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X1)
| 'selection$ufavors'('efficient$uproducers','first$umovers',sk2(X1,X0))
| ~ 'observational$uperiod'(X0) ),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
( 'in$uenvironment'(X0,sk1(X0))
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0)
| ~ 'propagation$ustrategy'('efficient$uproducers')
| ~ 'observational$uperiod'(X0) ),
inference(resolution,[status(thm)],[c5,c1]) ).
cnf(d5,plain,
( 'in$uenvironment'(X0,sk1(X0))
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0)
| ~ 'observational$uperiod'(X0) ),
inference(resolution,[status(thm)],[c6,d4]) ).
cnf(d6,plain,
( 'in$uenvironment'(sk3,sk1(sk3))
| ~ 'observational$uperiod'(sk3) ),
inference(resolution,[status(thm)],[c18,d5]) ).
cnf(d7,plain,
'in$uenvironment'(sk3,sk1(sk3)),
inference(resolution,[status(thm)],[c16,d6]) ).
cnf(d8,plain,
( ~ 'slow$uchange'(X2)
| ~ 'in$uenvironment'(X2,X1)
| ~ environment(X1)
| ~ 'observational$uperiod'(X2)
| ~ greater(X0,sk2(X1,X2))
| greater(X0,'critical$upoint'(X1)) ),
inference(resolution,[status(thm)],[c10,c4]) ).
cnf(d9,plain,
( ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| greater('end$utime'(X0),X1)
| 'end$utime'(X0) = X1 ),
inference(resolution,[status(thm)],[c11,c8]) ).
cnf(d10,plain,
( greater('end$utime'(X0),'critical$upoint'(X1))
| ~ 'slow$uchange'(X2)
| ~ 'in$uenvironment'(X2,X1)
| ~ environment(X1)
| ~ 'observational$uperiod'(X2)
| ~ 'in$uenvironment'(X0,sk2(X1,X2))
| ~ environment(X0)
| 'end$utime'(X0) = sk2(X1,X2) ),
inference(resolution,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
( ~ 'slow$uchange'(X1)
| ~ 'in$uenvironment'(X1,X0)
| ~ environment(X0)
| ~ 'observational$uperiod'(X1)
| greater('end$utime'(X0),'critical$upoint'(X0))
| ~ 'slow$uchange'(X1)
| ~ 'in$uenvironment'(X1,X0)
| ~ environment(X0)
| ~ environment(X0)
| ~ 'observational$uperiod'(X1)
| 'end$utime'(X0) = sk2(X0,X1) ),
inference(resolution,[status(thm)],[d10,c3]) ).
cnf(d12,plain,
( greater('end$utime'(sk1(sk3)),'critical$upoint'(sk1(sk3)))
| ~ 'slow$uchange'(sk3)
| ~ environment(sk1(sk3))
| ~ 'observational$uperiod'(sk3)
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[d11,d7]) ).
cnf(d13,plain,
( greater('end$utime'(sk1(sk3)),'critical$upoint'(sk1(sk3)))
| ~ 'slow$uchange'(sk3)
| ~ environment(sk1(sk3))
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[c16,d12]) ).
cnf(d14,plain,
( greater('end$utime'(sk1(sk3)),'critical$upoint'(sk1(sk3)))
| ~ environment(sk1(sk3))
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[c17,d13]) ).
cnf(d15,plain,
( environment(sk1(X0))
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0)
| ~ 'propagation$ustrategy'('efficient$uproducers')
| ~ 'observational$uperiod'(X0) ),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(d16,plain,
( environment(sk1(X0))
| 'selection$ufavors'('efficient$uproducers','first$umovers',X0)
| ~ 'observational$uperiod'(X0) ),
inference(resolution,[status(thm)],[c6,d15]) ).
cnf(d17,plain,
( environment(sk1(sk3))
| ~ 'observational$uperiod'(sk3) ),
inference(resolution,[status(thm)],[d16,c18]) ).
cnf(d18,plain,
environment(sk1(sk3)),
inference(resolution,[status(thm)],[c16,d17]) ).
cnf(d19,plain,
( greater('end$utime'(sk1(sk3)),'critical$upoint'(sk1(sk3)))
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[d18,d14]) ).
cnf(d20,plain,
( ~ 'in$uenvironment'(sk1(sk3),'end$utime'(sk1(sk3)))
| ~ environment(sk1(sk3))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[d19,c15]) ).
cnf(d21,plain,
( ~ 'in$uenvironment'(sk1(sk3),'end$utime'(sk1(sk3)))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[d18,d20]) ).
cnf(d22,plain,
( 'greater$uor$uequal'('end$utime'(sk1(sk3)),'critical$upoint'(sk1(sk3)))
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[d19,c12]) ).
cnf(d23,plain,
( ~ 'greater$uor$uequal'('critical$upoint'(sk1(sk3)),'start$utime'(sk1(sk3)))
| 'in$uenvironment'(sk1(sk3),'critical$upoint'(sk1(sk3)))
| ~ environment(sk1(sk3))
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[d22,c7]) ).
cnf(d24,plain,
( ~ 'greater$uor$uequal'('critical$upoint'(sk1(sk3)),'start$utime'(sk1(sk3)))
| 'in$uenvironment'(sk1(sk3),'critical$upoint'(sk1(sk3)))
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[d18,d23]) ).
cnf(d25,plain,
( ~ environment(sk1(sk3))
| 'in$uenvironment'(sk1(sk3),'critical$upoint'(sk1(sk3)))
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[d24,c9]) ).
cnf(d26,plain,
( 'in$uenvironment'(sk1(sk3),'critical$upoint'(sk1(sk3)))
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[d18,d25]) ).
cnf(d27,plain,
'greater$uor$uequal'(X0,X0),
inference(equality_resolution,[status(thm)],[c13]) ).
cnf(d28,plain,
( ~ 'greater$uor$uequal'('end$utime'(X0),'start$utime'(X0))
| 'in$uenvironment'(X0,'end$utime'(X0))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d27,c7]) ).
cnf(d29,plain,
( ~ 'in$uenvironment'(X0,'start$utime'(X0))
| ~ environment(X0)
| 'in$uenvironment'(X0,'end$utime'(X0))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d28,c8]) ).
cnf(d30,plain,
( ~ environment(X0)
| greater('critical$upoint'(X0),'start$utime'(X0))
| 'critical$upoint'(X0) = 'start$utime'(X0) ),
inference(resolution,[status(thm)],[c11,c9]) ).
cnf(d31,plain,
( ~ greater(X1,'critical$upoint'(X0))
| greater(X1,'start$utime'(X0))
| ~ environment(X0)
| 'critical$upoint'(X0) = 'start$utime'(X0) ),
inference(resolution,[status(thm)],[d30,c10]) ).
cnf(d32,plain,
( greater('end$utime'(sk1(sk3)),'start$utime'(sk1(sk3)))
| ~ environment(sk1(sk3))
| 'critical$upoint'(sk1(sk3)) = 'start$utime'(sk1(sk3))
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[d19,d31]) ).
cnf(d33,plain,
( greater('end$utime'(sk1(sk3)),'start$utime'(sk1(sk3)))
| 'critical$upoint'(sk1(sk3)) = 'start$utime'(sk1(sk3))
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[d18,d32]) ).
cnf(d34,plain,
( 'greater$uor$uequal'('end$utime'(sk1(sk3)),'start$utime'(sk1(sk3)))
| 'critical$upoint'(sk1(sk3)) = 'start$utime'(sk1(sk3))
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[d33,c12]) ).
cnf(d35,plain,
( 'in$uenvironment'(sk1(sk3),'end$utime'(sk1(sk3)))
| ~ environment(sk1(sk3))
| 'critical$upoint'(sk1(sk3)) = 'start$utime'(sk1(sk3))
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[d34,d28]) ).
cnf(d36,plain,
( 'in$uenvironment'(sk1(sk3),'end$utime'(sk1(sk3)))
| 'critical$upoint'(sk1(sk3)) = 'start$utime'(sk1(sk3))
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[d18,d35]) ).
cnf(d37,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3)
| 'critical$upoint'(sk1(sk3)) = 'start$utime'(sk1(sk3))
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[d36,d21]) ).
cnf(d38,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers',sk3)
| ~ 'observational$uperiod'(sk3)
| 'critical$upoint'(sk1(sk3)) = 'start$utime'(sk1(sk3))
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[d37,d1]) ).
cnf(d39,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers',sk3)
| 'critical$upoint'(sk1(sk3)) = 'start$utime'(sk1(sk3))
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[c16,d38]) ).
cnf(d40,plain,
( 'critical$upoint'(sk1(sk3)) = 'start$utime'(sk1(sk3))
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[c18,d39]) ).
cnf(d41,plain,
( 'critical$upoint'(sk1(sk3)) = 'start$utime'(sk1(sk3))
| ~ 'slow$uchange'(sk3)
| ~ 'in$uenvironment'(sk3,sk1(sk3))
| ~ environment(sk1(sk3))
| ~ 'observational$uperiod'(sk3)
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3))) ),
inference(superposition,[status(thm)],[d40,d3]) ).
cnf(d42,plain,
( ~ 'slow$uchange'(sk3)
| ~ 'in$uenvironment'(sk3,sk1(sk3))
| ~ environment(sk1(sk3))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| 'critical$upoint'(sk1(sk3)) = 'start$utime'(sk1(sk3)) ),
inference(resolution,[status(thm)],[c16,d41]) ).
cnf(d43,plain,
( ~ 'in$uenvironment'(sk3,sk1(sk3))
| ~ environment(sk1(sk3))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| 'critical$upoint'(sk1(sk3)) = 'start$utime'(sk1(sk3)) ),
inference(resolution,[status(thm)],[c17,d42]) ).
cnf(d44,plain,
( ~ environment(sk1(sk3))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| 'critical$upoint'(sk1(sk3)) = 'start$utime'(sk1(sk3)) ),
inference(resolution,[status(thm)],[d7,d43]) ).
cnf(d45,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| 'critical$upoint'(sk1(sk3)) = 'start$utime'(sk1(sk3)) ),
inference(resolution,[status(thm)],[d18,d44]) ).
cnf(d46,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers',sk3)
| ~ 'observational$uperiod'(sk3)
| 'critical$upoint'(sk1(sk3)) = 'start$utime'(sk1(sk3)) ),
inference(resolution,[status(thm)],[d45,d1]) ).
cnf(d47,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers',sk3)
| 'critical$upoint'(sk1(sk3)) = 'start$utime'(sk1(sk3)) ),
inference(resolution,[status(thm)],[c16,d46]) ).
cnf(d48,plain,
'critical$upoint'(sk1(sk3)) = 'start$utime'(sk1(sk3)),
inference(resolution,[status(thm)],[c18,d47]) ).
cnf(d49,plain,
( 'in$uenvironment'(sk1(sk3),'end$utime'(sk1(sk3)))
| ~ environment(sk1(sk3))
| ~ 'in$uenvironment'(sk1(sk3),'critical$upoint'(sk1(sk3))) ),
inference(superposition,[status(thm)],[d48,d29]) ).
cnf(d50,plain,
( ~ 'in$uenvironment'(sk1(sk3),'critical$upoint'(sk1(sk3)))
| 'in$uenvironment'(sk1(sk3),'end$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d18,d49]) ).
cnf(d51,plain,
( 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3)
| 'in$uenvironment'(sk1(sk3),'end$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d50,d26]) ).
cnf(d52,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3)))
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3)
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[d51,d21]) ).
cnf(d53,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers',sk3)
| ~ 'observational$uperiod'(sk3)
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[d52,d1]) ).
cnf(d54,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers',sk3)
| 'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[c16,d53]) ).
cnf(d55,plain,
'end$utime'(sk1(sk3)) = sk2(sk1(sk3),sk3),
inference(resolution,[status(thm)],[c18,d54]) ).
cnf(d56,plain,
( ~ 'slow$uchange'(sk3)
| ~ 'in$uenvironment'(sk3,sk1(sk3))
| ~ environment(sk1(sk3))
| ~ 'observational$uperiod'(sk3)
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3))) ),
inference(superposition,[status(thm)],[d55,d3]) ).
cnf(d57,plain,
( ~ 'slow$uchange'(sk3)
| ~ 'in$uenvironment'(sk3,sk1(sk3))
| ~ environment(sk1(sk3))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[c16,d56]) ).
cnf(d58,plain,
( ~ 'in$uenvironment'(sk3,sk1(sk3))
| ~ environment(sk1(sk3))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[c17,d57]) ).
cnf(d59,plain,
( ~ environment(sk1(sk3))
| 'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3))) ),
inference(resolution,[status(thm)],[d7,d58]) ).
cnf(d60,plain,
'selection$ufavors'('efficient$uproducers','first$umovers','end$utime'(sk1(sk3))),
inference(resolution,[status(thm)],[d18,d59]) ).
cnf(d61,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers',sk3)
| ~ 'observational$uperiod'(sk3) ),
inference(resolution,[status(thm)],[d60,d1]) ).
cnf(d62,plain,
'selection$ufavors'('efficient$uproducers','first$umovers',sk3),
inference(resolution,[status(thm)],[c16,d61]) ).
cnf(d63,plain,
$false,
inference(resolution,[status(thm)],[c18,d62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT039-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n009.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 00:06:44 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.97/2.31 % SZS status Unsatisfiable for theBenchmark.p
% 7.97/2.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------