%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT034-2 : 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 : n016.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 08:01:17 AM UTC 2026
% Result : Unsatisfiable 19.23s 8.18s
% Output : CNFRefutation 19.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 23
% Syntax : Number of clauses : 122 ( 16 unt; 46 nHn; 121 RR)
% Number of literals : 457 ( 39 equ; 293 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 122 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp1_high_growth_rates_33,axiom,
( 'selection$ufavors'(X2,X1,X3)
| ~ greater('growth$urate'(X2,X3),'growth$urate'(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ) ).
cnf(l3_34,axiom,
( ~ decreases(difference('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1)))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ) ).
cnf(mp_critical_point_means_FM_and_EP_35,axiom,
( subpopulations('first$umovers','efficient$uproducers',X0,'critical$upoint'(X0))
| ~ 'in$uenvironment'(X0,'critical$upoint'(X0))
| ~ environment(X0) ) ).
cnf(mp_FM_and_EP_when_EP_appears_36,axiom,
( subpopulations('first$umovers','efficient$uproducers',X0,appear('efficient$uproducers',X0))
| ~ 'in$uenvironment'(X0,appear('efficient$uproducers',X0))
| ~ environment(X0) ) ).
cnf(mp_difference_between_founding_rates_37,axiom,
( decreases(difference('growth$urate'('first$umovers',X0),'growth$urate'('efficient$uproducers',X0)))
| decreases(difference('disbanding$urate'('first$umovers',X0),'disbanding$urate'('efficient$uproducers',X0)))
| ~ decreases(difference('founding$urate'('first$umovers',X0),'founding$urate'('efficient$uproducers',X0))) ) ).
cnf(mp_decreasing_function_38,axiom,
( greater(difference('growth$urate'('first$umovers',X2),'growth$urate'('efficient$uproducers',X2)),zero)
| ~ decreases(difference('growth$urate'('first$umovers',X2),'growth$urate'('efficient$uproducers',X2)))
| ~ greater(X1,X2)
| ~ 'greater$uor$uequal'(X2,appear('efficient$uproducers',X0))
| ~ 'greater$uor$uequal'(difference('growth$urate'('first$umovers',X1),'growth$urate'('efficient$uproducers',X1)),zero)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(mp_negative_growth_rate_difference_39,axiom,
( greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| ~ greater(zero,difference('growth$urate'('first$umovers',X0),'growth$urate'('efficient$uproducers',X0))) ) ).
cnf(mp_positive_growth_rate_difference_41,axiom,
( greater('growth$urate'('first$umovers',X0),'growth$urate'('efficient$uproducers',X0))
| ~ greater(difference('growth$urate'('first$umovers',X0),'growth$urate'('efficient$uproducers',X0)),zero) ) ).
cnf(mp_critical_time_points_46,axiom,
( 'in$uenvironment'(X0,X1)
| ~ greater('critical$upoint'(X0),X1)
| ~ 'greater$uor$uequal'(X1,appear('efficient$uproducers',X0))
| ~ 'in$uenvironment'(X0,'critical$upoint'(X0))
| ~ environment(X0) ) ).
cnf(mp_symmetry_of_subpopulations_48,axiom,
( subpopulations('efficient$uproducers','first$umovers',X0,X1)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ) ).
cnf(mp_FM_and_EP_members_EP_appeared_49,axiom,
( 'greater$uor$uequal'(X1,appear('efficient$uproducers',X0))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ) ).
cnf(mp_greater_or_equal_50,axiom,
( X0 = X1
| greater(X0,X1)
| ~ 'greater$uor$uequal'(X0,X1) ) ).
cnf(mp_greater_or_equal_51,axiom,
( 'greater$uor$uequal'(X0,X1)
| ~ greater(X0,X1) ) ).
cnf(mp_greater_or_equal_52,axiom,
( 'greater$uor$uequal'(X0,X1)
| X0 != X1 ) ).
cnf(mp_relationship_of_growth_rates_53,axiom,
( 'greater$uor$uequal'(difference('growth$urate'('first$umovers',X1),'growth$urate'('efficient$uproducers',X1)),zero)
| greater(zero,difference('growth$urate'('first$umovers',X1),'growth$urate'('efficient$uproducers',X1)))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ) ).
cnf(d1_54,hypothesis,
( ~ greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| X1 != 'critical$upoint'(X0)
| ~ environment(X0) ) ).
cnf(a10_56,hypothesis,
( subpopulations('first$umovers','efficient$uproducers',X0,X3)
| ~ 'greater$uor$uequal'(X2,X3)
| ~ 'greater$uor$uequal'(X3,X1)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X2)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ) ).
cnf(a12_57,hypothesis,
( decreases(difference('founding$urate'('first$umovers',X1),'founding$urate'('efficient$uproducers',X1)))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ) ).
cnf(prove_t3_58,negated_conjecture,
environment(sk1) ).
cnf(prove_t3_59,negated_conjecture,
'in$uenvironment'(sk1,'critical$upoint'(sk1)) ).
cnf(prove_t3_60,negated_conjecture,
'greater$uor$uequal'(sk2,appear('efficient$uproducers',sk1)) ).
cnf(prove_t3_61,negated_conjecture,
greater('critical$upoint'(sk1),sk2) ).
cnf(prove_t3_62,negated_conjecture,
~ 'selection$ufavors'('first$umovers','efficient$uproducers',sk2) ).
cnf(c0,plain,
( 'selection$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_33]) ).
cnf(c1,plain,
( ~ decreases(difference('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1)))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[l3_34]) ).
cnf(c2,plain,
( subpopulations('first$umovers','efficient$uproducers',X0,'critical$upoint'(X0))
| ~ 'in$uenvironment'(X0,'critical$upoint'(X0))
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_critical_point_means_FM_and_EP_35]) ).
cnf(c3,plain,
( subpopulations('first$umovers','efficient$uproducers',X0,appear('efficient$uproducers',X0))
| ~ 'in$uenvironment'(X0,appear('efficient$uproducers',X0))
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_FM_and_EP_when_EP_appears_36]) ).
cnf(c4,plain,
( decreases(difference('growth$urate'('first$umovers',X0),'growth$urate'('efficient$uproducers',X0)))
| decreases(difference('disbanding$urate'('first$umovers',X0),'disbanding$urate'('efficient$uproducers',X0)))
| ~ decreases(difference('founding$urate'('first$umovers',X0),'founding$urate'('efficient$uproducers',X0))) ),
inference(clausification,[status(esa)],[mp_difference_between_founding_rates_37]) ).
cnf(c5,plain,
( ~ 'greater$uor$uequal'(difference('growth$urate'('first$umovers',X2),'growth$urate'('efficient$uproducers',X2)),zero)
| ~ greater(X2,X1)
| ~ 'in$uenvironment'(X0,X2)
| greater(difference('growth$urate'('first$umovers',X1),'growth$urate'('efficient$uproducers',X1)),zero)
| ~ 'greater$uor$uequal'(X1,appear('efficient$uproducers',X0))
| ~ decreases(difference('growth$urate'('first$umovers',X1),'growth$urate'('efficient$uproducers',X1)))
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_decreasing_function_38]) ).
cnf(c6,plain,
( greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| ~ greater(zero,difference('growth$urate'('first$umovers',X0),'growth$urate'('efficient$uproducers',X0))) ),
inference(clausification,[status(esa)],[mp_negative_growth_rate_difference_39]) ).
cnf(c8,plain,
( greater('growth$urate'('first$umovers',X0),'growth$urate'('efficient$uproducers',X0))
| ~ greater(difference('growth$urate'('first$umovers',X0),'growth$urate'('efficient$uproducers',X0)),zero) ),
inference(clausification,[status(esa)],[mp_positive_growth_rate_difference_41]) ).
cnf(c13,plain,
( 'in$uenvironment'(X0,X1)
| ~ greater('critical$upoint'(X0),X1)
| ~ 'greater$uor$uequal'(X1,appear('efficient$uproducers',X0))
| ~ 'in$uenvironment'(X0,'critical$upoint'(X0))
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_critical_time_points_46]) ).
cnf(c15,plain,
( subpopulations('efficient$uproducers','first$umovers',X0,X1)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_symmetry_of_subpopulations_48]) ).
cnf(c16,plain,
( 'greater$uor$uequal'(X1,appear('efficient$uproducers',X0))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_FM_and_EP_members_EP_appeared_49]) ).
cnf(c17,plain,
( X0 = X1
| greater(X0,X1)
| ~ 'greater$uor$uequal'(X0,X1) ),
inference(clausification,[status(esa)],[mp_greater_or_equal_50]) ).
cnf(c18,plain,
( 'greater$uor$uequal'(X0,X1)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[mp_greater_or_equal_51]) ).
cnf(c19,plain,
( 'greater$uor$uequal'(X0,X1)
| X0 != X1 ),
inference(clausification,[status(esa)],[mp_greater_or_equal_52]) ).
cnf(c20,plain,
( 'greater$uor$uequal'(difference('growth$urate'('first$umovers',X1),'growth$urate'('efficient$uproducers',X1)),zero)
| greater(zero,difference('growth$urate'('first$umovers',X1),'growth$urate'('efficient$uproducers',X1)))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_relationship_of_growth_rates_53]) ).
cnf(c21,plain,
( ~ greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| X1 != 'critical$upoint'(X0)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[d1_54]) ).
cnf(c23,plain,
( ~ 'greater$uor$uequal'(X1,X2)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X3)
| ~ 'greater$uor$uequal'(X2,X3)
| subpopulations('first$umovers','efficient$uproducers',X0,X2)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[a10_56]) ).
cnf(c24,plain,
( decreases(difference('founding$urate'('first$umovers',X1),'founding$urate'('efficient$uproducers',X1)))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[a12_57]) ).
cnf(c25,plain,
environment(sk1),
inference(clausification,[status(esa)],[prove_t3_58]) ).
cnf(c26,plain,
'in$uenvironment'(sk1,'critical$upoint'(sk1)),
inference(clausification,[status(esa)],[prove_t3_59]) ).
cnf(c27,plain,
'greater$uor$uequal'(sk2,appear('efficient$uproducers',sk1)),
inference(clausification,[status(esa)],[prove_t3_60]) ).
cnf(c28,plain,
greater('critical$upoint'(sk1),sk2),
inference(clausification,[status(esa)],[prove_t3_61]) ).
cnf(c29,plain,
~ 'selection$ufavors'('first$umovers','efficient$uproducers',sk2),
inference(clausification,[status(esa)],[prove_t3_62]) ).
cnf(d0,plain,
'greater$uor$uequal'(X0,X0),
inference(equality_resolution,[status(thm)],[c19]) ).
cnf(d1,plain,
( ~ 'in$uenvironment'(X0,'critical$upoint'(X0))
| 'in$uenvironment'(X0,appear('efficient$uproducers',X0))
| ~ environment(X0)
| ~ greater('critical$upoint'(X0),appear('efficient$uproducers',X0)) ),
inference(resolution,[status(thm)],[c13,d0]) ).
cnf(d2,plain,
( ~ 'in$uenvironment'(X0,'critical$upoint'(X0))
| ~ environment(X0)
| 'greater$uor$uequal'('critical$upoint'(X0),appear('efficient$uproducers',X0))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c16,c2]) ).
cnf(d3,plain,
( greater('critical$upoint'(X0),appear('efficient$uproducers',X0))
| 'critical$upoint'(X0) = appear('efficient$uproducers',X0)
| ~ 'in$uenvironment'(X0,'critical$upoint'(X0))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d2,c17]) ).
cnf(d4,plain,
( 'in$uenvironment'(X0,appear('efficient$uproducers',X0))
| ~ 'in$uenvironment'(X0,'critical$upoint'(X0))
| ~ environment(X0)
| ~ 'in$uenvironment'(X0,'critical$upoint'(X0))
| ~ environment(X0)
| 'critical$upoint'(X0) = appear('efficient$uproducers',X0) ),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( ~ 'in$uenvironment'(X0,appear('efficient$uproducers',X0))
| ~ environment(X0)
| ~ 'greater$uor$uequal'(X2,appear('efficient$uproducers',X0))
| ~ 'greater$uor$uequal'(X1,X2)
| subpopulations('first$umovers','efficient$uproducers',X0,X2)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c23,c3]) ).
cnf(d6,plain,
( ~ 'greater$uor$uequal'(X0,sk2)
| ~ 'in$uenvironment'(sk1,appear('efficient$uproducers',sk1))
| ~ subpopulations('first$umovers','efficient$uproducers',sk1,X0)
| subpopulations('first$umovers','efficient$uproducers',sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[d5,c27]) ).
cnf(d7,plain,
( ~ 'greater$uor$uequal'(X0,sk2)
| ~ 'in$uenvironment'(sk1,appear('efficient$uproducers',sk1))
| subpopulations('first$umovers','efficient$uproducers',sk1,sk2)
| ~ subpopulations('first$umovers','efficient$uproducers',sk1,X0) ),
inference(resolution,[status(thm)],[c25,d6]) ).
cnf(d8,plain,
( ~ 'in$uenvironment'(sk1,'critical$upoint'(sk1))
| ~ environment(sk1)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1)
| ~ 'greater$uor$uequal'(X0,sk2)
| subpopulations('first$umovers','efficient$uproducers',sk1,sk2)
| ~ subpopulations('first$umovers','efficient$uproducers',sk1,X0) ),
inference(resolution,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
( ~ 'greater$uor$uequal'(X0,sk2)
| ~ 'in$uenvironment'(sk1,'critical$upoint'(sk1))
| subpopulations('first$umovers','efficient$uproducers',sk1,sk2)
| ~ subpopulations('first$umovers','efficient$uproducers',sk1,X0)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[c25,d8]) ).
cnf(d10,plain,
( ~ 'greater$uor$uequal'(X0,sk2)
| subpopulations('first$umovers','efficient$uproducers',sk1,sk2)
| ~ subpopulations('first$umovers','efficient$uproducers',sk1,X0)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[c26,d9]) ).
cnf(d11,plain,
( ~ 'in$uenvironment'(sk1,'critical$upoint'(sk1))
| ~ environment(sk1)
| ~ 'greater$uor$uequal'('critical$upoint'(sk1),sk2)
| subpopulations('first$umovers','efficient$uproducers',sk1,sk2)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d10,c2]) ).
cnf(d12,plain,
( ~ 'greater$uor$uequal'('critical$upoint'(sk1),sk2)
| ~ 'in$uenvironment'(sk1,'critical$upoint'(sk1))
| subpopulations('first$umovers','efficient$uproducers',sk1,sk2)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[c25,d11]) ).
cnf(d13,plain,
( ~ 'greater$uor$uequal'('critical$upoint'(sk1),sk2)
| subpopulations('first$umovers','efficient$uproducers',sk1,sk2)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[c26,d12]) ).
cnf(d14,plain,
'greater$uor$uequal'('critical$upoint'(sk1),sk2),
inference(resolution,[status(thm)],[c18,c28]) ).
cnf(d15,plain,
( subpopulations('first$umovers','efficient$uproducers',sk1,sk2)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d14,d13]) ).
cnf(d16,plain,
( subpopulations('efficient$uproducers','first$umovers',sk1,sk2)
| ~ environment(sk1)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d15,c15]) ).
cnf(d17,plain,
( subpopulations('efficient$uproducers','first$umovers',sk1,sk2)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[c25,d16]) ).
cnf(d18,plain,
( ~ environment(X0)
| ~ greater('growth$urate'('efficient$uproducers','critical$upoint'(X0)),'growth$urate'('first$umovers','critical$upoint'(X0))) ),
inference(equality_resolution,[status(thm)],[c21]) ).
cnf(d19,plain,
( ~ 'in$uenvironment'(X0,'critical$upoint'(X0))
| ~ environment(X0)
| 'greater$uor$uequal'(difference('growth$urate'('first$umovers','critical$upoint'(X0)),'growth$urate'('efficient$uproducers','critical$upoint'(X0))),zero)
| ~ environment(X0)
| greater(zero,difference('growth$urate'('first$umovers','critical$upoint'(X0)),'growth$urate'('efficient$uproducers','critical$upoint'(X0)))) ),
inference(resolution,[status(thm)],[c20,c2]) ).
cnf(d20,plain,
( ~ 'greater$uor$uequal'(X1,appear('efficient$uproducers',X2))
| ~ 'in$uenvironment'(X2,'critical$upoint'(X0))
| ~ decreases(difference('growth$urate'('first$umovers',X1),'growth$urate'('efficient$uproducers',X1)))
| ~ environment(X2)
| greater(difference('growth$urate'('first$umovers',X1),'growth$urate'('efficient$uproducers',X1)),zero)
| ~ greater('critical$upoint'(X0),X1)
| ~ 'in$uenvironment'(X0,'critical$upoint'(X0))
| ~ environment(X0)
| greater(zero,difference('growth$urate'('first$umovers','critical$upoint'(X0)),'growth$urate'('efficient$uproducers','critical$upoint'(X0)))) ),
inference(resolution,[status(thm)],[d19,c5]) ).
cnf(d21,plain,
( decreases(difference('founding$urate'('first$umovers',sk2),'founding$urate'('efficient$uproducers',sk2)))
| ~ environment(sk1)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d15,c24]) ).
cnf(d22,plain,
( decreases(difference('founding$urate'('first$umovers',sk2),'founding$urate'('efficient$uproducers',sk2)))
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[c25,d21]) ).
cnf(d23,plain,
( decreases(difference('disbanding$urate'('first$umovers',sk2),'disbanding$urate'('efficient$uproducers',sk2)))
| decreases(difference('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2)))
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d22,c4]) ).
cnf(d24,plain,
( ~ subpopulations('first$umovers','efficient$uproducers',X0,sk2)
| ~ environment(X0)
| decreases(difference('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2)))
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d23,c1]) ).
cnf(d25,plain,
( 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1)
| decreases(difference('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2)))
| ~ environment(sk1)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d24,d15]) ).
cnf(d26,plain,
( decreases(difference('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2)))
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[c25,d25]) ).
cnf(d27,plain,
( ~ 'greater$uor$uequal'(sk2,appear('efficient$uproducers',X1))
| ~ 'in$uenvironment'(X0,'critical$upoint'(X0))
| ~ 'in$uenvironment'(X1,'critical$upoint'(X0))
| ~ environment(X0)
| ~ environment(X1)
| greater(zero,difference('growth$urate'('first$umovers','critical$upoint'(X0)),'growth$urate'('efficient$uproducers','critical$upoint'(X0))))
| ~ greater('critical$upoint'(X0),sk2)
| greater(difference('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2)),zero)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d26,d20]) ).
cnf(d28,plain,
( ~ 'in$uenvironment'(X0,'critical$upoint'(X0))
| ~ 'in$uenvironment'(sk1,'critical$upoint'(X0))
| ~ environment(X0)
| ~ environment(sk1)
| greater(zero,difference('growth$urate'('first$umovers','critical$upoint'(X0)),'growth$urate'('efficient$uproducers','critical$upoint'(X0))))
| ~ greater('critical$upoint'(X0),sk2)
| greater(difference('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2)),zero)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d27,c27]) ).
cnf(d29,plain,
( ~ 'in$uenvironment'(sk1,'critical$upoint'(X0))
| ~ 'in$uenvironment'(X0,'critical$upoint'(X0))
| ~ environment(X0)
| greater(zero,difference('growth$urate'('first$umovers','critical$upoint'(X0)),'growth$urate'('efficient$uproducers','critical$upoint'(X0))))
| ~ greater('critical$upoint'(X0),sk2)
| greater(difference('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2)),zero)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[c25,d28]) ).
cnf(d30,plain,
( greater('growth$urate'('efficient$uproducers','critical$upoint'(X0)),'growth$urate'('first$umovers','critical$upoint'(X0)))
| ~ 'in$uenvironment'(sk1,'critical$upoint'(X0))
| ~ 'in$uenvironment'(X0,'critical$upoint'(X0))
| ~ environment(X0)
| ~ greater('critical$upoint'(X0),sk2)
| greater(difference('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2)),zero)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d29,c6]) ).
cnf(d31,plain,
( ~ environment(X0)
| ~ 'in$uenvironment'(sk1,'critical$upoint'(X0))
| ~ 'in$uenvironment'(X0,'critical$upoint'(X0))
| ~ environment(X0)
| ~ greater('critical$upoint'(X0),sk2)
| greater(difference('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2)),zero)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d30,d18]) ).
cnf(d32,plain,
( ~ 'in$uenvironment'(sk1,'critical$upoint'(sk1))
| ~ environment(sk1)
| ~ greater('critical$upoint'(sk1),sk2)
| greater(difference('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2)),zero)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d31,c26]) ).
cnf(d33,plain,
( ~ 'in$uenvironment'(sk1,'critical$upoint'(sk1))
| ~ greater('critical$upoint'(sk1),sk2)
| greater(difference('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2)),zero)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[c25,d32]) ).
cnf(d34,plain,
( ~ greater('critical$upoint'(sk1),sk2)
| greater(difference('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2)),zero)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[c26,d33]) ).
cnf(d35,plain,
( greater(difference('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2)),zero)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[c28,d34]) ).
cnf(d36,plain,
( greater('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2))
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d35,c8]) ).
cnf(d37,plain,
( 'selection$ufavors'('first$umovers','efficient$uproducers',sk2)
| ~ subpopulations('efficient$uproducers','first$umovers',X0,sk2)
| ~ environment(X0)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d36,c0]) ).
cnf(d38,plain,
( ~ subpopulations('efficient$uproducers','first$umovers',X0,sk2)
| ~ environment(X0)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[c29,d37]) ).
cnf(d39,plain,
( 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1)
| ~ environment(sk1)
| 'critical$upoint'(sk1) = appear('efficient$uproducers',sk1) ),
inference(resolution,[status(thm)],[d38,d17]) ).
cnf(d40,plain,
'critical$upoint'(sk1) = appear('efficient$uproducers',sk1),
inference(resolution,[status(thm)],[c25,d39]) ).
cnf(d41,plain,
'greater$uor$uequal'(sk2,'critical$upoint'(sk1)),
inference(demodulation,[status(thm)],[c27,d40]) ).
cnf(d42,plain,
( ~ 'in$uenvironment'(X0,'critical$upoint'(X0))
| ~ environment(X0)
| ~ 'greater$uor$uequal'(X2,'critical$upoint'(X0))
| ~ 'greater$uor$uequal'(X1,X2)
| subpopulations('first$umovers','efficient$uproducers',X0,X2)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c23,c2]) ).
cnf(d43,plain,
( ~ 'in$uenvironment'(X0,'critical$upoint'(X0))
| ~ environment(X0)
| ~ 'greater$uor$uequal'('critical$upoint'(X0),X1)
| ~ 'greater$uor$uequal'(X1,'critical$upoint'(X0))
| ~ 'in$uenvironment'(X0,'critical$upoint'(X0))
| subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d42,c2]) ).
cnf(d44,plain,
( ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ 'in$uenvironment'(sk1,'critical$upoint'(sk1))
| subpopulations('first$umovers','efficient$uproducers',sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[d43,d14]) ).
cnf(d45,plain,
( ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ 'in$uenvironment'(sk1,'critical$upoint'(sk1))
| subpopulations('first$umovers','efficient$uproducers',sk1,sk2) ),
inference(resolution,[status(thm)],[c25,d44]) ).
cnf(d46,plain,
( ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| subpopulations('first$umovers','efficient$uproducers',sk1,sk2) ),
inference(resolution,[status(thm)],[c26,d45]) ).
cnf(d47,plain,
( subpopulations('efficient$uproducers','first$umovers',sk1,sk2)
| ~ environment(sk1)
| ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1)) ),
inference(resolution,[status(thm)],[d46,c15]) ).
cnf(d48,plain,
( ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| subpopulations('efficient$uproducers','first$umovers',sk1,sk2) ),
inference(resolution,[status(thm)],[c25,d47]) ).
cnf(d49,plain,
( decreases(difference('founding$urate'('first$umovers',sk2),'founding$urate'('efficient$uproducers',sk2)))
| ~ environment(sk1)
| ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1)) ),
inference(resolution,[status(thm)],[d46,c24]) ).
cnf(d50,plain,
( ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| decreases(difference('founding$urate'('first$umovers',sk2),'founding$urate'('efficient$uproducers',sk2))) ),
inference(resolution,[status(thm)],[c25,d49]) ).
cnf(d51,plain,
( decreases(difference('disbanding$urate'('first$umovers',sk2),'disbanding$urate'('efficient$uproducers',sk2)))
| decreases(difference('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2)))
| ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1)) ),
inference(resolution,[status(thm)],[d50,c4]) ).
cnf(d52,plain,
( ~ subpopulations('first$umovers','efficient$uproducers',X0,sk2)
| ~ environment(X0)
| ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| decreases(difference('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2))) ),
inference(resolution,[status(thm)],[d51,c1]) ).
cnf(d53,plain,
( ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| decreases(difference('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2)))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[d52,d46]) ).
cnf(d54,plain,
( ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| decreases(difference('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2))) ),
inference(resolution,[status(thm)],[c25,d53]) ).
cnf(d55,plain,
( ~ 'greater$uor$uequal'(sk2,X0)
| ~ 'greater$uor$uequal'(X0,'critical$upoint'(sk1))
| ~ 'in$uenvironment'(sk1,'critical$upoint'(sk1))
| subpopulations('first$umovers','efficient$uproducers',sk1,X0)
| ~ environment(sk1)
| ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1)) ),
inference(resolution,[status(thm)],[d46,d42]) ).
cnf(d56,plain,
( ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ 'greater$uor$uequal'(sk2,X0)
| ~ 'greater$uor$uequal'(X0,'critical$upoint'(sk1))
| ~ 'in$uenvironment'(sk1,'critical$upoint'(sk1))
| subpopulations('first$umovers','efficient$uproducers',sk1,X0) ),
inference(resolution,[status(thm)],[c25,d55]) ).
cnf(d57,plain,
( ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ 'greater$uor$uequal'(sk2,X0)
| ~ 'greater$uor$uequal'(X0,'critical$upoint'(sk1))
| subpopulations('first$umovers','efficient$uproducers',sk1,X0) ),
inference(resolution,[status(thm)],[c26,d56]) ).
cnf(d58,plain,
( 'greater$uor$uequal'(difference('growth$urate'('first$umovers',X0),'growth$urate'('efficient$uproducers',X0)),zero)
| ~ environment(sk1)
| greater(zero,difference('growth$urate'('first$umovers',X0),'growth$urate'('efficient$uproducers',X0)))
| ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ 'greater$uor$uequal'(sk2,X0)
| ~ 'greater$uor$uequal'(X0,'critical$upoint'(sk1)) ),
inference(resolution,[status(thm)],[d57,c20]) ).
cnf(d59,plain,
( ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ 'greater$uor$uequal'(sk2,X0)
| 'greater$uor$uequal'(difference('growth$urate'('first$umovers',X0),'growth$urate'('efficient$uproducers',X0)),zero)
| ~ 'greater$uor$uequal'(X0,'critical$upoint'(sk1))
| greater(zero,difference('growth$urate'('first$umovers',X0),'growth$urate'('efficient$uproducers',X0))) ),
inference(resolution,[status(thm)],[c25,d58]) ).
cnf(d60,plain,
( ~ 'greater$uor$uequal'(X1,appear('efficient$uproducers',X2))
| ~ 'in$uenvironment'(X2,X0)
| ~ decreases(difference('growth$urate'('first$umovers',X1),'growth$urate'('efficient$uproducers',X1)))
| ~ environment(X2)
| greater(difference('growth$urate'('first$umovers',X1),'growth$urate'('efficient$uproducers',X1)),zero)
| ~ greater(X0,X1)
| ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ 'greater$uor$uequal'(sk2,X0)
| ~ 'greater$uor$uequal'(X0,'critical$upoint'(sk1))
| greater(zero,difference('growth$urate'('first$umovers',X0),'growth$urate'('efficient$uproducers',X0))) ),
inference(resolution,[status(thm)],[d59,c5]) ).
cnf(d61,plain,
( ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ 'greater$uor$uequal'(sk2,X0)
| ~ 'greater$uor$uequal'(X0,'critical$upoint'(sk1))
| ~ 'greater$uor$uequal'(sk2,appear('efficient$uproducers',X1))
| ~ 'in$uenvironment'(X1,X0)
| ~ environment(X1)
| greater(zero,difference('growth$urate'('first$umovers',X0),'growth$urate'('efficient$uproducers',X0)))
| greater(difference('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2)),zero)
| ~ greater(X0,sk2) ),
inference(resolution,[status(thm)],[d60,d54]) ).
cnf(d62,plain,
( ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ 'greater$uor$uequal'(sk2,X0)
| ~ 'greater$uor$uequal'(X0,'critical$upoint'(sk1))
| ~ 'in$uenvironment'(sk1,X0)
| ~ environment(sk1)
| greater(zero,difference('growth$urate'('first$umovers',X0),'growth$urate'('efficient$uproducers',X0)))
| greater(difference('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2)),zero)
| ~ greater(X0,sk2) ),
inference(resolution,[status(thm)],[d61,c27]) ).
cnf(d63,plain,
( ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ 'greater$uor$uequal'(sk2,X0)
| ~ 'greater$uor$uequal'(X0,'critical$upoint'(sk1))
| ~ 'in$uenvironment'(sk1,X0)
| greater(zero,difference('growth$urate'('first$umovers',X0),'growth$urate'('efficient$uproducers',X0)))
| greater(difference('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2)),zero)
| ~ greater(X0,sk2) ),
inference(resolution,[status(thm)],[c25,d62]) ).
cnf(d64,plain,
( greater('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2))
| ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ 'greater$uor$uequal'(sk2,X0)
| ~ 'greater$uor$uequal'(X0,'critical$upoint'(sk1))
| ~ 'in$uenvironment'(sk1,X0)
| greater(zero,difference('growth$urate'('first$umovers',X0),'growth$urate'('efficient$uproducers',X0)))
| ~ greater(X0,sk2) ),
inference(resolution,[status(thm)],[d63,c8]) ).
cnf(d65,plain,
( greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ 'greater$uor$uequal'(sk2,X0)
| ~ 'greater$uor$uequal'(X0,'critical$upoint'(sk1))
| ~ 'in$uenvironment'(sk1,X0)
| greater('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2))
| ~ greater(X0,sk2) ),
inference(resolution,[status(thm)],[d64,c6]) ).
cnf(d66,plain,
( ~ environment(X0)
| ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ 'greater$uor$uequal'(sk2,'critical$upoint'(X0))
| ~ 'greater$uor$uequal'('critical$upoint'(X0),'critical$upoint'(sk1))
| ~ 'in$uenvironment'(sk1,'critical$upoint'(X0))
| greater('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2))
| ~ greater('critical$upoint'(X0),sk2) ),
inference(resolution,[status(thm)],[d65,d18]) ).
cnf(d67,plain,
( ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ 'in$uenvironment'(sk1,'critical$upoint'(sk1))
| ~ environment(sk1)
| ~ greater('critical$upoint'(sk1),sk2)
| greater('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2)) ),
inference(resolution,[status(thm)],[d66,d0]) ).
cnf(d68,plain,
( ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ 'in$uenvironment'(sk1,'critical$upoint'(sk1))
| ~ greater('critical$upoint'(sk1),sk2)
| greater('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2)) ),
inference(resolution,[status(thm)],[c25,d67]) ).
cnf(d69,plain,
( ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ greater('critical$upoint'(sk1),sk2)
| greater('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2)) ),
inference(resolution,[status(thm)],[c26,d68]) ).
cnf(d70,plain,
( ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| greater('growth$urate'('first$umovers',sk2),'growth$urate'('efficient$uproducers',sk2)) ),
inference(resolution,[status(thm)],[c28,d69]) ).
cnf(d71,plain,
( 'selection$ufavors'('first$umovers','efficient$uproducers',sk2)
| ~ subpopulations('efficient$uproducers','first$umovers',X0,sk2)
| ~ environment(X0)
| ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1)) ),
inference(resolution,[status(thm)],[d70,c0]) ).
cnf(d72,plain,
( ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ subpopulations('efficient$uproducers','first$umovers',X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c29,d71]) ).
cnf(d73,plain,
( ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[d72,d48]) ).
cnf(d74,plain,
~ 'greater$uor$uequal'(sk2,'critical$upoint'(sk1)),
inference(resolution,[status(thm)],[c25,d73]) ).
cnf(d75,plain,
$false,
inference(resolution,[status(thm)],[d74,d41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT034-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n016.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sat Sep 26 00:10:36 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.23/8.18 % SZS status Unsatisfiable for theBenchmark.p
% 19.23/8.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------