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LisaST---0.9.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : MGT025-1 : 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 08:01:04 AM UTC 2026

% Result   : Unsatisfiable 12.20s 3.23s
% Output   : CNFRefutation 12.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   23
% Syntax   : Number of clauses     :  166 (  14 unt; 106 nHn; 166 RR)
%            Number of literals    :  629 (  38 equ; 287 neg)
%            Maximal clause size   :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :  151 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(mp_only_members_28,axiom,
    ( 'number$uof$uorganizations'(X0,X2) = sum('cardinality$uat$utime'('first$umovers',X2),'cardinality$uat$utime'('efficient$uproducers',X2))
    | X1 != 'efficient$uproducers'
    | ~ subpopulation(X1,X0,X2)
    | ~ environment(X0) ) ).

cnf(mp_subpopulations_30,axiom,
    ( subpopulation('first$umovers',X0,X1)
    | ~ 'in$uenvironment'(X0,X1)
    | ~ environment(X0) ) ).

cnf(mp_subpopulations_31,axiom,
    ( subpopulation('efficient$uproducers',X0,X1)
    | ~ 'in$uenvironment'(X0,X1)
    | ~ environment(X0) ) ).

cnf(mp_abc_sum_increase_32,axiom,
    ( decreases(X1)
    | increases(X1)
    | constant(X1)
    | ~ constant(X0)
    | X0 != sum(X1,X2) ) ).

cnf(mp_abc_sum_increase_33,axiom,
    ( increases(X2)
    | increases(X1)
    | constant(X1)
    | ~ constant(X0)
    | X0 != sum(X1,X2) ) ).

cnf(mp_abc_sum_increase_34,axiom,
    ( decreases(X1)
    | decreases(X2)
    | constant(X1)
    | ~ constant(X0)
    | X0 != sum(X1,X2) ) ).

cnf(mp_abc_sum_increase_35,axiom,
    ( increases(X2)
    | decreases(X2)
    | constant(X1)
    | ~ constant(X0)
    | X0 != sum(X1,X2) ) ).

cnf(mp_abc_sum_increase_36,axiom,
    ( decreases(X1)
    | increases(X1)
    | constant(X2)
    | ~ constant(X0)
    | X0 != sum(X1,X2) ) ).

cnf(mp_abc_sum_increase_37,axiom,
    ( increases(X2)
    | increases(X1)
    | constant(X2)
    | ~ constant(X0)
    | X0 != sum(X1,X2) ) ).

cnf(mp_abc_sum_increase_38,axiom,
    ( decreases(X1)
    | decreases(X2)
    | constant(X2)
    | ~ constant(X0)
    | X0 != sum(X1,X2) ) ).

cnf(mp_abc_sum_increase_39,axiom,
    ( increases(X2)
    | decreases(X2)
    | constant(X2)
    | ~ constant(X0)
    | X0 != sum(X1,X2) ) ).

cnf(mp_growth_rate_40,axiom,
    ( 'growth$urate'(X2,X1) = zero
    | ~ constant('cardinality$uat$utime'(X2,X1))
    | ~ greater('cardinality$uat$utime'(X2,X1),zero)
    | ~ subpopulation(X2,X0,X1)
    | ~ 'in$uenvironment'(X0,X1)
    | ~ environment(X0) ) ).

cnf(mp_growth_rate_41,axiom,
    ( greater('growth$urate'(X2,X1),zero)
    | ~ increases('cardinality$uat$utime'(X2,X1))
    | ~ greater('cardinality$uat$utime'(X2,X1),zero)
    | ~ subpopulation(X2,X0,X1)
    | ~ 'in$uenvironment'(X0,X1)
    | ~ environment(X0) ) ).

cnf(mp_growth_rate_42,axiom,
    ( greater(zero,'growth$urate'(X2,X1))
    | ~ decreases('cardinality$uat$utime'(X2,X1))
    | ~ greater('cardinality$uat$utime'(X2,X1),zero)
    | ~ subpopulation(X2,X0,X1)
    | ~ 'in$uenvironment'(X0,X1)
    | ~ environment(X0) ) ).

cnf(mp_non_zero_producers_43,axiom,
    ( greater('cardinality$uat$utime'('first$umovers',X1),zero)
    | ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
    | ~ environment(X0) ) ).

cnf(mp_non_zero_producers_44,axiom,
    ( greater('cardinality$uat$utime'('efficient$uproducers',X1),zero)
    | ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
    | ~ environment(X0) ) ).

cnf(mp_time_point_occur_45,axiom,
    ( 'in$uenvironment'(X0,X1)
    | ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
    | ~ environment(X0) ) ).

cnf(prove_l7_47,negated_conjecture,
    environment(sk1) ).

cnf(prove_l7_48,negated_conjecture,
    subpopulations('first$umovers','efficient$uproducers',sk1,sk2) ).

cnf(prove_l7_49,negated_conjecture,
    constant('number$uof$uorganizations'(sk1,sk2)) ).

cnf(prove_l7_50,negated_conjecture,
    ( 'growth$urate'('efficient$uproducers',sk2) != zero
    | 'growth$urate'('first$umovers',sk2) != zero ) ).

cnf(prove_l7_51,negated_conjecture,
    ( ~ greater(zero,'growth$urate'('efficient$uproducers',sk2))
    | ~ greater('growth$urate'('first$umovers',sk2),zero) ) ).

cnf(prove_l7_52,negated_conjecture,
    ( ~ greater(zero,'growth$urate'('first$umovers',sk2))
    | ~ greater('growth$urate'('efficient$uproducers',sk2),zero) ) ).

cnf(c1,plain,
    ( 'number$uof$uorganizations'(X0,X2) = sum('cardinality$uat$utime'('first$umovers',X2),'cardinality$uat$utime'('efficient$uproducers',X2))
    | X1 != 'efficient$uproducers'
    | ~ subpopulation(X1,X0,X2)
    | ~ environment(X0) ),
    inference(clausification,[status(esa)],[mp_only_members_28]) ).

cnf(c3,plain,
    ( subpopulation('first$umovers',X0,X1)
    | ~ 'in$uenvironment'(X0,X1)
    | ~ environment(X0) ),
    inference(clausification,[status(esa)],[mp_subpopulations_30]) ).

cnf(c4,plain,
    ( subpopulation('efficient$uproducers',X0,X1)
    | ~ 'in$uenvironment'(X0,X1)
    | ~ environment(X0) ),
    inference(clausification,[status(esa)],[mp_subpopulations_31]) ).

cnf(c5,plain,
    ( increases(X0)
    | ~ constant(X1)
    | X1 != sum(X0,X2)
    | constant(X0)
    | decreases(X0) ),
    inference(clausification,[status(esa)],[mp_abc_sum_increase_32]) ).

cnf(c6,plain,
    ( increases(X2)
    | X0 != sum(X1,X2)
    | constant(X1)
    | increases(X1)
    | ~ constant(X0) ),
    inference(clausification,[status(esa)],[mp_abc_sum_increase_33]) ).

cnf(c7,plain,
    ( decreases(X1)
    | constant(X1)
    | decreases(X2)
    | ~ constant(X0)
    | X0 != sum(X1,X2) ),
    inference(clausification,[status(esa)],[mp_abc_sum_increase_34]) ).

cnf(c8,plain,
    ( constant(X1)
    | increases(X2)
    | decreases(X2)
    | X0 != sum(X1,X2)
    | ~ constant(X0) ),
    inference(clausification,[status(esa)],[mp_abc_sum_increase_35]) ).

cnf(c9,plain,
    ( increases(X2)
    | X0 != sum(X2,X1)
    | decreases(X2)
    | constant(X1)
    | ~ constant(X0) ),
    inference(clausification,[status(esa)],[mp_abc_sum_increase_36]) ).

cnf(c10,plain,
    ( increases(X2)
    | ~ constant(X0)
    | constant(X2)
    | increases(X1)
    | X0 != sum(X1,X2) ),
    inference(clausification,[status(esa)],[mp_abc_sum_increase_37]) ).

cnf(c11,plain,
    ( decreases(X2)
    | decreases(X1)
    | constant(X2)
    | ~ constant(X0)
    | X0 != sum(X1,X2) ),
    inference(clausification,[status(esa)],[mp_abc_sum_increase_38]) ).

cnf(c12,plain,
    ( X1 != sum(X2,X0)
    | decreases(X0)
    | constant(X0)
    | ~ constant(X1)
    | increases(X0) ),
    inference(clausification,[status(esa)],[mp_abc_sum_increase_39]) ).

cnf(c13,plain,
    ( ~ 'in$uenvironment'(X2,X1)
    | ~ environment(X2)
    | ~ constant('cardinality$uat$utime'(X0,X1))
    | ~ subpopulation(X0,X2,X1)
    | 'growth$urate'(X0,X1) = zero
    | ~ greater('cardinality$uat$utime'(X0,X1),zero) ),
    inference(clausification,[status(esa)],[mp_growth_rate_40]) ).

cnf(c14,plain,
    ( ~ greater('cardinality$uat$utime'(X1,X2),zero)
    | ~ increases('cardinality$uat$utime'(X1,X2))
    | greater('growth$urate'(X1,X2),zero)
    | ~ 'in$uenvironment'(X0,X2)
    | ~ subpopulation(X1,X0,X2)
    | ~ environment(X0) ),
    inference(clausification,[status(esa)],[mp_growth_rate_41]) ).

cnf(c15,plain,
    ( ~ environment(X2)
    | greater(zero,'growth$urate'(X0,X1))
    | ~ 'in$uenvironment'(X2,X1)
    | ~ decreases('cardinality$uat$utime'(X0,X1))
    | ~ subpopulation(X0,X2,X1)
    | ~ greater('cardinality$uat$utime'(X0,X1),zero) ),
    inference(clausification,[status(esa)],[mp_growth_rate_42]) ).

cnf(c16,plain,
    ( greater('cardinality$uat$utime'('first$umovers',X1),zero)
    | ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
    | ~ environment(X0) ),
    inference(clausification,[status(esa)],[mp_non_zero_producers_43]) ).

cnf(c17,plain,
    ( greater('cardinality$uat$utime'('efficient$uproducers',X1),zero)
    | ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
    | ~ environment(X0) ),
    inference(clausification,[status(esa)],[mp_non_zero_producers_44]) ).

cnf(c18,plain,
    ( 'in$uenvironment'(X0,X1)
    | ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
    | ~ environment(X0) ),
    inference(clausification,[status(esa)],[mp_time_point_occur_45]) ).

cnf(c20,plain,
    environment(sk1),
    inference(clausification,[status(esa)],[prove_l7_47]) ).

cnf(c21,plain,
    subpopulations('first$umovers','efficient$uproducers',sk1,sk2),
    inference(clausification,[status(esa)],[prove_l7_48]) ).

cnf(c22,plain,
    constant('number$uof$uorganizations'(sk1,sk2)),
    inference(clausification,[status(esa)],[prove_l7_49]) ).

cnf(c23,plain,
    ( 'growth$urate'('efficient$uproducers',sk2) != zero
    | 'growth$urate'('first$umovers',sk2) != zero ),
    inference(clausification,[status(esa)],[prove_l7_50]) ).

cnf(c24,plain,
    ( ~ greater(zero,'growth$urate'('efficient$uproducers',sk2))
    | ~ greater('growth$urate'('first$umovers',sk2),zero) ),
    inference(clausification,[status(esa)],[prove_l7_51]) ).

cnf(c25,plain,
    ( ~ greater(zero,'growth$urate'('first$umovers',sk2))
    | ~ greater('growth$urate'('efficient$uproducers',sk2),zero) ),
    inference(clausification,[status(esa)],[prove_l7_52]) ).

cnf(d0,plain,
    ( 'in$uenvironment'(sk1,sk2)
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[c18,c21]) ).

cnf(d1,plain,
    'in$uenvironment'(sk1,sk2),
    inference(resolution,[status(thm)],[c20,d0]) ).

cnf(d2,plain,
    ( greater('cardinality$uat$utime'('first$umovers',sk2),zero)
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[c16,c21]) ).

cnf(d3,plain,
    greater('cardinality$uat$utime'('first$umovers',sk2),zero),
    inference(resolution,[status(thm)],[c20,d2]) ).

cnf(d4,plain,
    ( ~ constant('cardinality$uat$utime'('first$umovers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | ~ subpopulation('first$umovers',X0,sk2)
    | ~ environment(X0)
    | 'growth$urate'('first$umovers',sk2) = zero ),
    inference(resolution,[status(thm)],[d3,c13]) ).

cnf(d5,plain,
    ( greater('cardinality$uat$utime'('efficient$uproducers',sk2),zero)
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[c17,c21]) ).

cnf(d6,plain,
    greater('cardinality$uat$utime'('efficient$uproducers',sk2),zero),
    inference(resolution,[status(thm)],[c20,d5]) ).

cnf(d7,plain,
    ( ~ increases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater('growth$urate'('efficient$uproducers',sk2),zero)
    | ~ subpopulation('efficient$uproducers',X0,sk2)
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d6,c14]) ).

cnf(d8,plain,
    ( decreases(X1)
    | increases(X1)
    | ~ constant(sum(X0,X1))
    | constant(X0) ),
    inference(equality_resolution,[status(thm)],[c8]) ).

cnf(d9,plain,
    ( ~ subpopulation('efficient$uproducers',X0,X1)
    | ~ environment(X0)
    | 'number$uof$uorganizations'(X0,X1) = sum('cardinality$uat$utime'('first$umovers',X1),'cardinality$uat$utime'('efficient$uproducers',X1)) ),
    inference(equality_resolution,[status(thm)],[c1]) ).

cnf(d10,plain,
    ( ~ 'in$uenvironment'(X0,X1)
    | ~ environment(X0)
    | ~ environment(X0)
    | 'number$uof$uorganizations'(X0,X1) = sum('cardinality$uat$utime'('first$umovers',X1),'cardinality$uat$utime'('efficient$uproducers',X1)) ),
    inference(resolution,[status(thm)],[d9,c4]) ).

cnf(d11,plain,
    ( ~ environment(sk1)
    | 'number$uof$uorganizations'(sk1,sk2) = sum('cardinality$uat$utime'('first$umovers',sk2),'cardinality$uat$utime'('efficient$uproducers',sk2)) ),
    inference(resolution,[status(thm)],[d10,d1]) ).

cnf(d12,plain,
    'number$uof$uorganizations'(sk1,sk2) = sum('cardinality$uat$utime'('first$umovers',sk2),'cardinality$uat$utime'('efficient$uproducers',sk2)),
    inference(resolution,[status(thm)],[c20,d11]) ).

cnf(d13,plain,
    ( decreases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | increases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | ~ constant('number$uof$uorganizations'(sk1,sk2)) ),
    inference(superposition,[status(thm)],[d12,d8]) ).

cnf(d14,plain,
    ( decreases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | increases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2)) ),
    inference(resolution,[status(thm)],[c22,d13]) ).

cnf(d15,plain,
    ( ~ decreases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater(zero,'growth$urate'('efficient$uproducers',sk2))
    | ~ subpopulation('efficient$uproducers',X0,sk2)
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d6,c15]) ).

cnf(d16,plain,
    ( increases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater(zero,'growth$urate'('efficient$uproducers',sk2))
    | ~ subpopulation('efficient$uproducers',X0,sk2)
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d15,d14]) ).

cnf(d17,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | ~ environment(X0)
    | increases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater(zero,'growth$urate'('efficient$uproducers',sk2))
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d16,c4]) ).

cnf(d18,plain,
    ( increases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | greater(zero,'growth$urate'('efficient$uproducers',sk2))
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[d17,d1]) ).

cnf(d19,plain,
    ( increases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | greater(zero,'growth$urate'('efficient$uproducers',sk2)) ),
    inference(resolution,[status(thm)],[c20,d18]) ).

cnf(d20,plain,
    ( ~ increases('cardinality$uat$utime'('first$umovers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater('growth$urate'('first$umovers',sk2),zero)
    | ~ subpopulation('first$umovers',X0,sk2)
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d3,c14]) ).

cnf(d21,plain,
    ( increases(X0)
    | increases(X1)
    | ~ constant(sum(X0,X1))
    | constant(X0) ),
    inference(equality_resolution,[status(thm)],[c6]) ).

cnf(d22,plain,
    ( increases('cardinality$uat$utime'('first$umovers',sk2))
    | increases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | ~ constant('number$uof$uorganizations'(sk1,sk2)) ),
    inference(superposition,[status(thm)],[d12,d21]) ).

cnf(d23,plain,
    ( increases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2)) ),
    inference(resolution,[status(thm)],[c22,d22]) ).

cnf(d24,plain,
    ( increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater('growth$urate'('efficient$uproducers',sk2),zero)
    | ~ subpopulation('efficient$uproducers',X0,sk2)
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d7,d23]) ).

cnf(d25,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | ~ environment(X0)
    | increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater('growth$urate'('efficient$uproducers',sk2),zero)
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d24,c4]) ).

cnf(d26,plain,
    ( increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | greater('growth$urate'('efficient$uproducers',sk2),zero)
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[d25,d1]) ).

cnf(d27,plain,
    ( increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | greater('growth$urate'('efficient$uproducers',sk2),zero) ),
    inference(resolution,[status(thm)],[c20,d26]) ).

cnf(d28,plain,
    ( ~ greater(zero,'growth$urate'('first$umovers',sk2))
    | increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2)) ),
    inference(resolution,[status(thm)],[d27,c25]) ).

cnf(d29,plain,
    ( ~ decreases('cardinality$uat$utime'('first$umovers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater(zero,'growth$urate'('first$umovers',sk2))
    | ~ subpopulation('first$umovers',X0,sk2)
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d3,c15]) ).

cnf(d30,plain,
    ( decreases(X0)
    | increases(X0)
    | ~ constant(sum(X0,X1))
    | constant(X0) ),
    inference(equality_resolution,[status(thm)],[c5]) ).

cnf(d31,plain,
    ( decreases('cardinality$uat$utime'('first$umovers',sk2))
    | increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | ~ constant('number$uof$uorganizations'(sk1,sk2)) ),
    inference(superposition,[status(thm)],[d12,d30]) ).

cnf(d32,plain,
    ( decreases('cardinality$uat$utime'('first$umovers',sk2))
    | increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2)) ),
    inference(resolution,[status(thm)],[c22,d31]) ).

cnf(d33,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | greater(zero,'growth$urate'('first$umovers',sk2))
    | ~ subpopulation('first$umovers',X0,sk2)
    | ~ environment(X0)
    | increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2)) ),
    inference(resolution,[status(thm)],[d32,d29]) ).

cnf(d34,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | ~ environment(X0)
    | increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater(zero,'growth$urate'('first$umovers',sk2))
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d33,c3]) ).

cnf(d35,plain,
    ( increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | greater(zero,'growth$urate'('first$umovers',sk2))
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[d34,d1]) ).

cnf(d36,plain,
    ( increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | greater(zero,'growth$urate'('first$umovers',sk2)) ),
    inference(resolution,[status(thm)],[c20,d35]) ).

cnf(d37,plain,
    ( increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2)) ),
    inference(resolution,[status(thm)],[d36,d28]) ).

cnf(d38,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | greater('growth$urate'('first$umovers',sk2),zero)
    | ~ subpopulation('first$umovers',X0,sk2)
    | ~ environment(X0)
    | constant('cardinality$uat$utime'('first$umovers',sk2)) ),
    inference(resolution,[status(thm)],[d37,d20]) ).

cnf(d39,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | ~ environment(X0)
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater('growth$urate'('first$umovers',sk2),zero)
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d38,c3]) ).

cnf(d40,plain,
    ( constant('cardinality$uat$utime'('first$umovers',sk2))
    | greater('growth$urate'('first$umovers',sk2),zero)
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[d39,d1]) ).

cnf(d41,plain,
    ( constant('cardinality$uat$utime'('first$umovers',sk2))
    | greater('growth$urate'('first$umovers',sk2),zero) ),
    inference(resolution,[status(thm)],[c20,d40]) ).

cnf(d42,plain,
    ( ~ greater(zero,'growth$urate'('efficient$uproducers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2)) ),
    inference(resolution,[status(thm)],[d41,c24]) ).

cnf(d43,plain,
    ( increases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2)) ),
    inference(resolution,[status(thm)],[d42,d19]) ).

cnf(d44,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | greater('growth$urate'('efficient$uproducers',sk2),zero)
    | ~ subpopulation('efficient$uproducers',X0,sk2)
    | ~ environment(X0)
    | constant('cardinality$uat$utime'('first$umovers',sk2)) ),
    inference(resolution,[status(thm)],[d43,d7]) ).

cnf(d45,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | ~ environment(X0)
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater('growth$urate'('efficient$uproducers',sk2),zero)
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d44,c4]) ).

cnf(d46,plain,
    ( constant('cardinality$uat$utime'('first$umovers',sk2))
    | greater('growth$urate'('efficient$uproducers',sk2),zero)
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[d45,d1]) ).

cnf(d47,plain,
    ( constant('cardinality$uat$utime'('first$umovers',sk2))
    | greater('growth$urate'('efficient$uproducers',sk2),zero) ),
    inference(resolution,[status(thm)],[c20,d46]) ).

cnf(d48,plain,
    ( ~ greater(zero,'growth$urate'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2)) ),
    inference(resolution,[status(thm)],[d47,c25]) ).

cnf(d49,plain,
    ( decreases(X0)
    | decreases(X1)
    | ~ constant(sum(X0,X1))
    | constant(X0) ),
    inference(equality_resolution,[status(thm)],[c7]) ).

cnf(d50,plain,
    ( decreases('cardinality$uat$utime'('first$umovers',sk2))
    | decreases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | ~ constant('number$uof$uorganizations'(sk1,sk2)) ),
    inference(superposition,[status(thm)],[d12,d49]) ).

cnf(d51,plain,
    ( decreases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | decreases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2)) ),
    inference(resolution,[status(thm)],[c22,d50]) ).

cnf(d52,plain,
    ( decreases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater(zero,'growth$urate'('efficient$uproducers',sk2))
    | ~ subpopulation('efficient$uproducers',X0,sk2)
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d15,d51]) ).

cnf(d53,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | ~ environment(X0)
    | decreases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater(zero,'growth$urate'('efficient$uproducers',sk2))
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d52,c4]) ).

cnf(d54,plain,
    ( decreases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | greater(zero,'growth$urate'('efficient$uproducers',sk2))
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[d53,d1]) ).

cnf(d55,plain,
    ( decreases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | greater(zero,'growth$urate'('efficient$uproducers',sk2)) ),
    inference(resolution,[status(thm)],[c20,d54]) ).

cnf(d56,plain,
    ( decreases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2)) ),
    inference(resolution,[status(thm)],[d42,d55]) ).

cnf(d57,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | greater(zero,'growth$urate'('first$umovers',sk2))
    | ~ subpopulation('first$umovers',X0,sk2)
    | ~ environment(X0)
    | constant('cardinality$uat$utime'('first$umovers',sk2)) ),
    inference(resolution,[status(thm)],[d56,d29]) ).

cnf(d58,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | ~ environment(X0)
    | constant('cardinality$uat$utime'('first$umovers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater(zero,'growth$urate'('first$umovers',sk2))
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d57,c3]) ).

cnf(d59,plain,
    ( constant('cardinality$uat$utime'('first$umovers',sk2))
    | greater(zero,'growth$urate'('first$umovers',sk2))
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[d58,d1]) ).

cnf(d60,plain,
    ( constant('cardinality$uat$utime'('first$umovers',sk2))
    | greater(zero,'growth$urate'('first$umovers',sk2)) ),
    inference(resolution,[status(thm)],[c20,d59]) ).

cnf(d61,plain,
    ( constant('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('first$umovers',sk2)) ),
    inference(resolution,[status(thm)],[d60,d48]) ).

cnf(d62,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | ~ subpopulation('first$umovers',X0,sk2)
    | ~ environment(X0)
    | 'growth$urate'('first$umovers',sk2) = zero ),
    inference(resolution,[status(thm)],[d61,d4]) ).

cnf(d63,plain,
    ( ~ constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | ~ subpopulation('efficient$uproducers',X0,sk2)
    | ~ environment(X0)
    | 'growth$urate'('efficient$uproducers',sk2) = zero ),
    inference(resolution,[status(thm)],[d6,c13]) ).

cnf(d64,plain,
    ( decreases(X0)
    | increases(X0)
    | ~ constant(sum(X1,X0))
    | constant(X0) ),
    inference(equality_resolution,[status(thm)],[c12]) ).

cnf(d65,plain,
    ( decreases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | increases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | ~ constant('number$uof$uorganizations'(sk1,sk2)) ),
    inference(superposition,[status(thm)],[d12,d64]) ).

cnf(d66,plain,
    ( decreases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | increases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2)) ),
    inference(resolution,[status(thm)],[c22,d65]) ).

cnf(d67,plain,
    ( increases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater(zero,'growth$urate'('efficient$uproducers',sk2))
    | ~ subpopulation('efficient$uproducers',X0,sk2)
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d15,d66]) ).

cnf(d68,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | ~ environment(X0)
    | increases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater(zero,'growth$urate'('efficient$uproducers',sk2))
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d67,c4]) ).

cnf(d69,plain,
    ( increases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | greater(zero,'growth$urate'('efficient$uproducers',sk2))
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[d68,d1]) ).

cnf(d70,plain,
    ( increases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | greater(zero,'growth$urate'('efficient$uproducers',sk2)) ),
    inference(resolution,[status(thm)],[c20,d69]) ).

cnf(d71,plain,
    ( increases(X1)
    | increases(X0)
    | ~ constant(sum(X1,X0))
    | constant(X0) ),
    inference(equality_resolution,[status(thm)],[c10]) ).

cnf(d72,plain,
    ( increases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | ~ constant('number$uof$uorganizations'(sk1,sk2)) ),
    inference(superposition,[status(thm)],[d12,d71]) ).

cnf(d73,plain,
    ( increases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2)) ),
    inference(resolution,[status(thm)],[c22,d72]) ).

cnf(d74,plain,
    ( increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater('growth$urate'('efficient$uproducers',sk2),zero)
    | ~ subpopulation('efficient$uproducers',X0,sk2)
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d7,d73]) ).

cnf(d75,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | ~ environment(X0)
    | increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater('growth$urate'('efficient$uproducers',sk2),zero)
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d74,c4]) ).

cnf(d76,plain,
    ( increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | greater('growth$urate'('efficient$uproducers',sk2),zero)
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[d75,d1]) ).

cnf(d77,plain,
    ( increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | greater('growth$urate'('efficient$uproducers',sk2),zero) ),
    inference(resolution,[status(thm)],[c20,d76]) ).

cnf(d78,plain,
    ( ~ greater(zero,'growth$urate'('first$umovers',sk2))
    | increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2)) ),
    inference(resolution,[status(thm)],[d77,c25]) ).

cnf(d79,plain,
    ( decreases(X1)
    | increases(X1)
    | ~ constant(sum(X1,X0))
    | constant(X0) ),
    inference(equality_resolution,[status(thm)],[c9]) ).

cnf(d80,plain,
    ( decreases('cardinality$uat$utime'('first$umovers',sk2))
    | increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | ~ constant('number$uof$uorganizations'(sk1,sk2)) ),
    inference(superposition,[status(thm)],[d12,d79]) ).

cnf(d81,plain,
    ( decreases('cardinality$uat$utime'('first$umovers',sk2))
    | increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2)) ),
    inference(resolution,[status(thm)],[c22,d80]) ).

cnf(d82,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | greater(zero,'growth$urate'('first$umovers',sk2))
    | ~ subpopulation('first$umovers',X0,sk2)
    | ~ environment(X0)
    | increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2)) ),
    inference(resolution,[status(thm)],[d81,d29]) ).

cnf(d83,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | ~ environment(X0)
    | increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater(zero,'growth$urate'('first$umovers',sk2))
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d82,c3]) ).

cnf(d84,plain,
    ( increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | greater(zero,'growth$urate'('first$umovers',sk2))
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[d83,d1]) ).

cnf(d85,plain,
    ( increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | greater(zero,'growth$urate'('first$umovers',sk2)) ),
    inference(resolution,[status(thm)],[c20,d84]) ).

cnf(d86,plain,
    ( increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | increases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2)) ),
    inference(resolution,[status(thm)],[d85,d78]) ).

cnf(d87,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | greater('growth$urate'('first$umovers',sk2),zero)
    | ~ subpopulation('first$umovers',X0,sk2)
    | ~ environment(X0)
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2)) ),
    inference(resolution,[status(thm)],[d86,d20]) ).

cnf(d88,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | ~ environment(X0)
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater('growth$urate'('first$umovers',sk2),zero)
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d87,c3]) ).

cnf(d89,plain,
    ( constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | greater('growth$urate'('first$umovers',sk2),zero)
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[d88,d1]) ).

cnf(d90,plain,
    ( constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | greater('growth$urate'('first$umovers',sk2),zero) ),
    inference(resolution,[status(thm)],[c20,d89]) ).

cnf(d91,plain,
    ( ~ greater(zero,'growth$urate'('efficient$uproducers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2)) ),
    inference(resolution,[status(thm)],[d90,c24]) ).

cnf(d92,plain,
    ( increases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2)) ),
    inference(resolution,[status(thm)],[d91,d70]) ).

cnf(d93,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | greater('growth$urate'('efficient$uproducers',sk2),zero)
    | ~ subpopulation('efficient$uproducers',X0,sk2)
    | ~ environment(X0)
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2)) ),
    inference(resolution,[status(thm)],[d92,d7]) ).

cnf(d94,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | ~ environment(X0)
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater('growth$urate'('efficient$uproducers',sk2),zero)
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d93,c4]) ).

cnf(d95,plain,
    ( constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | greater('growth$urate'('efficient$uproducers',sk2),zero)
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[d94,d1]) ).

cnf(d96,plain,
    ( constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | greater('growth$urate'('efficient$uproducers',sk2),zero) ),
    inference(resolution,[status(thm)],[c20,d95]) ).

cnf(d97,plain,
    ( ~ greater(zero,'growth$urate'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2)) ),
    inference(resolution,[status(thm)],[d96,c25]) ).

cnf(d98,plain,
    ( decreases(X1)
    | decreases(X0)
    | ~ constant(sum(X1,X0))
    | constant(X0) ),
    inference(equality_resolution,[status(thm)],[c11]) ).

cnf(d99,plain,
    ( decreases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | decreases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | ~ constant('number$uof$uorganizations'(sk1,sk2)) ),
    inference(superposition,[status(thm)],[d12,d98]) ).

cnf(d100,plain,
    ( decreases('cardinality$uat$utime'('efficient$uproducers',sk2))
    | decreases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2)) ),
    inference(resolution,[status(thm)],[c22,d99]) ).

cnf(d101,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | greater(zero,'growth$urate'('efficient$uproducers',sk2))
    | ~ subpopulation('efficient$uproducers',X0,sk2)
    | ~ environment(X0)
    | decreases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2)) ),
    inference(resolution,[status(thm)],[d100,d15]) ).

cnf(d102,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | ~ environment(X0)
    | decreases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater(zero,'growth$urate'('efficient$uproducers',sk2))
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d101,c4]) ).

cnf(d103,plain,
    ( decreases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | greater(zero,'growth$urate'('efficient$uproducers',sk2))
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[d102,d1]) ).

cnf(d104,plain,
    ( decreases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | greater(zero,'growth$urate'('efficient$uproducers',sk2)) ),
    inference(resolution,[status(thm)],[c20,d103]) ).

cnf(d105,plain,
    ( decreases('cardinality$uat$utime'('first$umovers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2)) ),
    inference(resolution,[status(thm)],[d91,d104]) ).

cnf(d106,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | greater(zero,'growth$urate'('first$umovers',sk2))
    | ~ subpopulation('first$umovers',X0,sk2)
    | ~ environment(X0)
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2)) ),
    inference(resolution,[status(thm)],[d105,d29]) ).

cnf(d107,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | ~ environment(X0)
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | ~ 'in$uenvironment'(X0,sk2)
    | greater(zero,'growth$urate'('first$umovers',sk2))
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d106,c3]) ).

cnf(d108,plain,
    ( constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | greater(zero,'growth$urate'('first$umovers',sk2))
    | ~ environment(sk1) ),
    inference(resolution,[status(thm)],[d107,d1]) ).

cnf(d109,plain,
    ( constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | greater(zero,'growth$urate'('first$umovers',sk2)) ),
    inference(resolution,[status(thm)],[c20,d108]) ).

cnf(d110,plain,
    ( constant('cardinality$uat$utime'('efficient$uproducers',sk2))
    | constant('cardinality$uat$utime'('efficient$uproducers',sk2)) ),
    inference(resolution,[status(thm)],[d109,d97]) ).

cnf(d111,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | ~ subpopulation('efficient$uproducers',X0,sk2)
    | ~ environment(X0)
    | 'growth$urate'('efficient$uproducers',sk2) = zero ),
    inference(resolution,[status(thm)],[d110,d63]) ).

cnf(d112,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | ~ environment(X0)
    | ~ 'in$uenvironment'(X0,sk2)
    | ~ environment(X0)
    | 'growth$urate'('efficient$uproducers',sk2) = zero ),
    inference(resolution,[status(thm)],[d111,c4]) ).

cnf(d113,plain,
    ( ~ environment(sk1)
    | 'growth$urate'('efficient$uproducers',sk2) = zero ),
    inference(resolution,[status(thm)],[d112,d1]) ).

cnf(d114,plain,
    'growth$urate'('efficient$uproducers',sk2) = zero,
    inference(resolution,[status(thm)],[c20,d113]) ).

cnf(d115,plain,
    'growth$urate'('first$umovers',sk2) != zero,
    inference(resolution,[status(thm)],[d114,c23]) ).

cnf(d116,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | ~ subpopulation('first$umovers',X0,sk2)
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d115,d62]) ).

cnf(d117,plain,
    ( ~ 'in$uenvironment'(X0,sk2)
    | ~ environment(X0)
    | ~ 'in$uenvironment'(X0,sk2)
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d116,c3]) ).

cnf(d118,plain,
    ~ environment(sk1),
    inference(resolution,[status(thm)],[d117,d1]) ).

cnf(d119,plain,
    $false,
    inference(resolution,[status(thm)],[c20,d118]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : MGT025-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42  % Computer : n009.cluster.edu
% 0.17/0.42  % Model    : x86_64 x86_64
% 0.17/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42  % Memory   : 8046.5625MB
% 0.17/0.42  % OS       : Linux 6.8.0-71-generic
% 0.17/0.42  % CPULimit : 300
% 0.17/0.42  % WCLimit  : 300
% 0.17/0.42  % DateTime : Sat Sep 26 00:04:45 UTC 2026
% 0.17/0.43  % CPUTime  : 
% 0.17/0.43  Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.20/3.23  % SZS status Unsatisfiable for theBenchmark.p
% 12.20/3.23  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------