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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : MGT027+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n014.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   : Theorem 12.66s 2.06s
% Output   : CNFRefutation 12.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   79 (   8 unt;   0 def)
%            Number of atoms       :  376 (  26 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  523 ( 226   ~; 264   |;  21   &)
%                                         (   1 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :  100 (   0 sgn  20   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mp_contracts_from,axiom,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ( 'greater$uor$uequal'(X2,X1)
              & greater('cardinality$uat$utime'('first$umovers',X2),zero) )
           => greater(zero,'growth$urate'('first$umovers',X2)) )
        & 'in$uenvironment'(X0,X1)
        & stable(X0)
        & environment(X0) )
     => 'contracts$ufrom'(X1,'first$umovers') ) ).

fof(mp_non_empty_fm_and_ep,axiom,
    ! [X0,X1] :
      ( ( greater('cardinality$uat$utime'('efficient$uproducers',X1),zero)
        & greater('cardinality$uat$utime'('first$umovers',X1),zero)
        & 'in$uenvironment'(X0,X1)
        & environment(X0) )
     => subpopulations('first$umovers','efficient$uproducers',X0,X1) ) ).

fof(mp_long_stable_environments,axiom,
    ! [X0,X1,X2] :
      ( ( greater(X2,X1)
        & 'in$uenvironment'(X0,X1)
        & stable(X0)
        & environment(X0) )
     => 'in$uenvironment'(X0,X2) ) ).

fof(mp_EP_in_stable_environments,axiom,
    ! [X0] :
      ( ( stable(X0)
        & environment(X0) )
     => 'in$uenvironment'(X0,appear('efficient$uproducers',X0)) ) ).

fof(mp_greater_transitivity,axiom,
    ! [X0,X1,X2] :
      ( ( greater(X1,X2)
        & greater(X0,X1) )
     => greater(X0,X2) ) ).

fof(mp_greater_or_equal,axiom,
    ! [X0,X1] :
      ( 'greater$uor$uequal'(X0,X1)
    <=> ( X0 = X1
        | greater(X0,X1) ) ) ).

fof(t6,hypothesis,
    ! [X0,X1] :
      ( ( 'greater$uor$uequal'(X1,appear('efficient$uproducers',X0))
        & 'in$uenvironment'(X0,X1)
        & environment(X0) )
     => greater('cardinality$uat$utime'('efficient$uproducers',X1),zero) ) ).

fof(l10,hypothesis,
    ! [X0] :
      ( ( stable(X0)
        & environment(X0) )
     => ? [X1] :
          ( ! [X2] :
              ( ( 'greater$uor$uequal'(X2,X1)
                & subpopulations('first$umovers','efficient$uproducers',X0,X2) )
             => greater(zero,'growth$urate'('first$umovers',X2)) )
          & greater(X1,appear('efficient$uproducers',X0)) ) ) ).

fof(prove_l9,conjecture,
    ! [X0] :
      ( ( stable(X0)
        & environment(X0) )
     => ? [X1] :
          ( 'contracts$ufrom'(X1,'first$umovers')
          & greater(X1,appear('efficient$uproducers',X0)) ) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ! [X0] :
        ( ( stable(X0)
          & environment(X0) )
       => ? [X1] :
            ( 'contracts$ufrom'(X1,'first$umovers')
            & greater(X1,appear('efficient$uproducers',X0)) ) ),
    inference(negate_conjecture,[status(cth)],[prove_l9]) ).

cnf(c0,plain,
    ( greater('cardinality$uat$utime'('first$umovers',sK2(X1)),zero)
    | ~ stable(X0)
    | ~ 'in$uenvironment'(X0,X1)
    | 'contracts$ufrom'(X1,'first$umovers')
    | ~ environment(X0) ),
    inference(clausification,[status(esa)],[mp_contracts_from]) ).

cnf(c1,plain,
    ( 'greater$uor$uequal'(sK2(X1),X1)
    | ~ stable(X0)
    | ~ 'in$uenvironment'(X0,X1)
    | 'contracts$ufrom'(X1,'first$umovers')
    | ~ environment(X0) ),
    inference(clausification,[status(esa)],[mp_contracts_from]) ).

cnf(c2,plain,
    ( ~ stable(X0)
    | ~ 'in$uenvironment'(X0,X1)
    | 'contracts$ufrom'(X1,'first$umovers')
    | ~ greater(zero,'growth$urate'('first$umovers',sK2(X1)))
    | ~ environment(X0) ),
    inference(clausification,[status(esa)],[mp_contracts_from]) ).

cnf(c3,plain,
    ( ~ environment(X1)
    | subpopulations('first$umovers','efficient$uproducers',X1,X0)
    | ~ greater('cardinality$uat$utime'('first$umovers',X0),zero)
    | ~ 'in$uenvironment'(X1,X0)
    | ~ greater('cardinality$uat$utime'('efficient$uproducers',X0),zero) ),
    inference(clausification,[status(esa)],[mp_non_empty_fm_and_ep]) ).

cnf(c4,plain,
    ( ~ stable(X0)
    | ~ environment(X0)
    | ~ greater(X2,X1)
    | 'in$uenvironment'(X0,X2)
    | ~ 'in$uenvironment'(X0,X1) ),
    inference(clausification,[status(esa)],[mp_long_stable_environments]) ).

cnf(c5,plain,
    ( 'in$uenvironment'(X0,appear('efficient$uproducers',X0))
    | ~ stable(X0)
    | ~ environment(X0) ),
    inference(clausification,[status(esa)],[mp_EP_in_stable_environments]) ).

cnf(c6,plain,
    ( greater(X0,X2)
    | ~ greater(X1,X2)
    | ~ greater(X0,X1) ),
    inference(clausification,[status(esa)],[mp_greater_transitivity]) ).

cnf(c7,plain,
    ( X0 = X1
    | greater(X0,X1)
    | ~ 'greater$uor$uequal'(X0,X1) ),
    inference(clausification,[status(esa)],[mp_greater_or_equal]) ).

cnf(c8,plain,
    ( ~ greater(X0,X1)
    | 'greater$uor$uequal'(X0,X1) ),
    inference(clausification,[status(esa)],[mp_greater_or_equal]) ).

cnf(c9,plain,
    ( X0 != X1
    | 'greater$uor$uequal'(X0,X1) ),
    inference(clausification,[status(esa)],[mp_greater_or_equal]) ).

cnf(c10,plain,
    ( greater('cardinality$uat$utime'('efficient$uproducers',X1),zero)
    | ~ 'greater$uor$uequal'(X1,appear('efficient$uproducers',X0))
    | ~ 'in$uenvironment'(X0,X1)
    | ~ environment(X0) ),
    inference(clausification,[status(esa)],[t6]) ).

cnf(c11,plain,
    ( greater(sK17(X0),appear('efficient$uproducers',X0))
    | ~ stable(X0)
    | ~ environment(X0) ),
    inference(clausification,[status(esa)],[l10]) ).

cnf(c12,plain,
    ( greater(zero,'growth$urate'('first$umovers',X1))
    | ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
    | ~ stable(X0)
    | ~ 'greater$uor$uequal'(X1,sK17(X0))
    | ~ environment(X0) ),
    inference(clausification,[status(esa)],[l10]) ).

cnf(c13,plain,
    environment(sK19),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c14,plain,
    stable(sK19),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c15,plain,
    ( ~ 'contracts$ufrom'(X0,'first$umovers')
    | ~ greater(X0,appear('efficient$uproducers',sK19)) ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( 'in$uenvironment'(X1,sK17(X0))
    | ~ 'in$uenvironment'(X1,appear('efficient$uproducers',X0))
    | ~ environment(X1)
    | ~ stable(X1)
    | ~ environment(X0)
    | ~ stable(X0) ),
    inference(resolution,[status(thm)],[c11,c4]) ).

cnf(d1,plain,
    ( ~ environment(X0)
    | ~ stable(X0)
    | 'in$uenvironment'(X0,sK17(X0))
    | ~ environment(X0)
    | ~ environment(X0)
    | ~ stable(X0)
    | ~ stable(X0) ),
    inference(resolution,[status(thm)],[d0,c5]) ).

cnf(d2,plain,
    ( ~ 'contracts$ufrom'(sK17(sK19),'first$umovers')
    | ~ environment(sK19)
    | ~ stable(sK19) ),
    inference(resolution,[status(thm)],[c11,c15]) ).

cnf(d3,plain,
    ( ~ 'contracts$ufrom'(sK17(sK19),'first$umovers')
    | ~ stable(sK19) ),
    inference(resolution,[status(thm)],[c13,d2]) ).

cnf(d4,plain,
    ~ 'contracts$ufrom'(sK17(sK19),'first$umovers'),
    inference(resolution,[status(thm)],[c14,d3]) ).

cnf(d5,plain,
    ( 'greater$uor$uequal'(sK2(sK17(X0)),sK17(X0))
    | 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ environment(X0)
    | ~ stable(X0)
    | ~ environment(X0)
    | ~ stable(X0) ),
    inference(resolution,[status(thm)],[d1,c1]) ).

cnf(d6,plain,
    ( greater(sK2(sK17(X0)),sK17(X0))
    | sK2(sK17(X0)) = sK17(X0)
    | 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ environment(X0)
    | ~ stable(X0) ),
    inference(resolution,[status(thm)],[d5,c7]) ).

cnf(d7,plain,
    ( greater(sK2(sK17(X0)),X1)
    | ~ greater(sK17(X0),X1)
    | 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ environment(X0)
    | ~ stable(X0)
    | sK2(sK17(X0)) = sK17(X0) ),
    inference(resolution,[status(thm)],[d6,c6]) ).

cnf(d8,plain,
    ( 'in$uenvironment'(X2,sK2(sK17(X0)))
    | ~ 'in$uenvironment'(X2,X1)
    | ~ environment(X2)
    | ~ stable(X2)
    | ~ greater(sK17(X0),X1)
    | 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ environment(X0)
    | ~ stable(X0)
    | sK2(sK17(X0)) = sK17(X0) ),
    inference(resolution,[status(thm)],[d7,c4]) ).

cnf(d9,plain,
    ( ~ environment(X0)
    | ~ stable(X0)
    | 'contracts$ufrom'(sK17(X0),'first$umovers')
    | 'in$uenvironment'(X1,sK2(sK17(X0)))
    | ~ 'in$uenvironment'(X1,appear('efficient$uproducers',X0))
    | ~ environment(X0)
    | ~ environment(X1)
    | ~ stable(X0)
    | ~ stable(X1)
    | sK2(sK17(X0)) = sK17(X0) ),
    inference(resolution,[status(thm)],[d8,c11]) ).

cnf(d10,plain,
    ( ~ environment(X0)
    | ~ stable(X0)
    | 'contracts$ufrom'(sK17(X0),'first$umovers')
    | 'in$uenvironment'(X0,sK2(sK17(X0)))
    | ~ environment(X0)
    | ~ environment(X0)
    | ~ stable(X0)
    | ~ stable(X0)
    | sK2(sK17(X0)) = sK17(X0) ),
    inference(resolution,[status(thm)],[d9,c5]) ).

cnf(d11,plain,
    ( greater('cardinality$uat$utime'('first$umovers',sK2(sK17(X0))),zero)
    | 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ environment(X0)
    | ~ stable(X0)
    | ~ environment(X0)
    | ~ stable(X0) ),
    inference(resolution,[status(thm)],[d1,c0]) ).

cnf(d12,plain,
    ( 'in$uenvironment'(X1,sK2(sK17(X0)))
    | ~ 'in$uenvironment'(X1,sK17(X0))
    | ~ environment(X1)
    | ~ stable(X1)
    | 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ environment(X0)
    | ~ stable(X0)
    | sK2(sK17(X0)) = sK17(X0) ),
    inference(resolution,[status(thm)],[d6,c4]) ).

cnf(d13,plain,
    ( 'greater$uor$uequal'(sK2(sK17(X0)),X1)
    | ~ greater(sK17(X0),X1)
    | 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ environment(X0)
    | ~ stable(X0)
    | sK2(sK17(X0)) = sK17(X0) ),
    inference(resolution,[status(thm)],[d7,c8]) ).

cnf(d14,plain,
    ( greater('cardinality$uat$utime'('efficient$uproducers',sK2(sK17(X0))),zero)
    | ~ 'in$uenvironment'(X1,sK2(sK17(X0)))
    | ~ environment(X1)
    | ~ greater(sK17(X0),appear('efficient$uproducers',X1))
    | 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ environment(X0)
    | ~ stable(X0)
    | sK2(sK17(X0)) = sK17(X0) ),
    inference(resolution,[status(thm)],[d13,c10]) ).

cnf(d15,plain,
    ( ~ environment(X0)
    | ~ stable(X0)
    | greater('cardinality$uat$utime'('efficient$uproducers',sK2(sK17(X0))),zero)
    | 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ 'in$uenvironment'(X0,sK2(sK17(X0)))
    | ~ environment(X0)
    | ~ environment(X0)
    | ~ stable(X0)
    | sK2(sK17(X0)) = sK17(X0) ),
    inference(resolution,[status(thm)],[d14,c11]) ).

cnf(d16,plain,
    ( 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ 'in$uenvironment'(X0,sK17(X0))
    | ~ environment(X0)
    | ~ environment(X0)
    | ~ stable(X0)
    | ~ stable(X0)
    | sK2(sK17(X0)) = sK17(X0)
    | greater('cardinality$uat$utime'('efficient$uproducers',sK2(sK17(X0))),zero)
    | 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ environment(X0)
    | ~ stable(X0)
    | sK2(sK17(X0)) = sK17(X0) ),
    inference(resolution,[status(thm)],[d15,d12]) ).

cnf(d17,plain,
    ( ~ environment(X0)
    | ~ stable(X0)
    | greater('cardinality$uat$utime'('efficient$uproducers',sK2(sK17(X0))),zero)
    | 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ environment(X0)
    | ~ stable(X0)
    | sK2(sK17(X0)) = sK17(X0) ),
    inference(resolution,[status(thm)],[d16,d1]) ).

cnf(d18,plain,
    ( subpopulations('first$umovers','efficient$uproducers',X1,sK2(sK17(X0)))
    | ~ greater('cardinality$uat$utime'('first$umovers',sK2(sK17(X0))),zero)
    | ~ 'in$uenvironment'(X1,sK2(sK17(X0)))
    | ~ environment(X1)
    | 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ environment(X0)
    | ~ stable(X0)
    | sK2(sK17(X0)) = sK17(X0) ),
    inference(resolution,[status(thm)],[d17,c3]) ).

cnf(d19,plain,
    ( 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ environment(X0)
    | ~ stable(X0)
    | subpopulations('first$umovers','efficient$uproducers',X1,sK2(sK17(X0)))
    | 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ 'in$uenvironment'(X1,sK2(sK17(X0)))
    | ~ environment(X0)
    | ~ environment(X1)
    | ~ stable(X0)
    | sK2(sK17(X0)) = sK17(X0) ),
    inference(resolution,[status(thm)],[d18,d11]) ).

cnf(d20,plain,
    ( ~ 'greater$uor$uequal'(sK2(sK17(X0)),sK17(X1))
    | greater(zero,'growth$urate'('first$umovers',sK2(sK17(X0))))
    | ~ environment(X1)
    | ~ stable(X1)
    | 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ 'in$uenvironment'(X1,sK2(sK17(X0)))
    | ~ environment(X0)
    | ~ environment(X1)
    | ~ stable(X0)
    | sK2(sK17(X0)) = sK17(X0) ),
    inference(resolution,[status(thm)],[d19,c12]) ).

cnf(d21,plain,
    ( 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ environment(X0)
    | ~ stable(X0)
    | greater(zero,'growth$urate'('first$umovers',sK2(sK17(X0))))
    | 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ 'in$uenvironment'(X0,sK2(sK17(X0)))
    | ~ environment(X0)
    | ~ environment(X0)
    | ~ stable(X0)
    | ~ stable(X0)
    | sK2(sK17(X0)) = sK17(X0) ),
    inference(resolution,[status(thm)],[d20,d5]) ).

cnf(d22,plain,
    ( 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ environment(X0)
    | ~ stable(X0)
    | sK2(sK17(X0)) = sK17(X0)
    | greater(zero,'growth$urate'('first$umovers',sK2(sK17(X0))))
    | 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ environment(X0)
    | ~ stable(X0)
    | sK2(sK17(X0)) = sK17(X0) ),
    inference(resolution,[status(thm)],[d21,d10]) ).

cnf(d23,plain,
    ( 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ 'in$uenvironment'(X1,sK17(X0))
    | ~ environment(X1)
    | ~ stable(X1)
    | 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ environment(X0)
    | ~ stable(X0)
    | sK2(sK17(X0)) = sK17(X0) ),
    inference(resolution,[status(thm)],[d22,c2]) ).

cnf(d24,plain,
    ( ~ environment(X0)
    | ~ stable(X0)
    | 'contracts$ufrom'(sK17(X0),'first$umovers')
    | ~ environment(X0)
    | ~ environment(X0)
    | ~ stable(X0)
    | ~ stable(X0)
    | sK2(sK17(X0)) = sK17(X0) ),
    inference(resolution,[status(thm)],[d23,d1]) ).

cnf(d25,plain,
    ( ~ environment(sK19)
    | ~ stable(sK19)
    | sK2(sK17(sK19)) = sK17(sK19) ),
    inference(resolution,[status(thm)],[d24,d4]) ).

cnf(d26,plain,
    ( ~ stable(sK19)
    | sK2(sK17(sK19)) = sK17(sK19) ),
    inference(resolution,[status(thm)],[c13,d25]) ).

cnf(d27,plain,
    sK2(sK17(sK19)) = sK17(sK19),
    inference(resolution,[status(thm)],[c14,d26]) ).

cnf(d28,plain,
    ( 'contracts$ufrom'(sK17(sK19),'first$umovers')
    | ~ 'in$uenvironment'(X0,sK17(sK19))
    | ~ environment(X0)
    | ~ stable(X0)
    | ~ greater(zero,'growth$urate'('first$umovers',sK17(sK19))) ),
    inference(superposition,[status(thm)],[d27,c2]) ).

cnf(d29,plain,
    ( ~ greater(zero,'growth$urate'('first$umovers',sK17(sK19)))
    | ~ 'in$uenvironment'(X0,sK17(sK19))
    | ~ environment(X0)
    | ~ stable(X0) ),
    inference(resolution,[status(thm)],[d4,d28]) ).

cnf(d30,plain,
    'greater$uor$uequal'(X0,X0),
    inference(equality_resolution,[status(thm)],[c9]) ).

cnf(d31,plain,
    ( 'greater$uor$uequal'(sK17(X0),appear('efficient$uproducers',X0))
    | ~ environment(X0)
    | ~ stable(X0) ),
    inference(resolution,[status(thm)],[c11,c8]) ).

cnf(d32,plain,
    ( greater('cardinality$uat$utime'('efficient$uproducers',sK17(X0)),zero)
    | ~ 'in$uenvironment'(X0,sK17(X0))
    | ~ environment(X0)
    | ~ environment(X0)
    | ~ stable(X0) ),
    inference(resolution,[status(thm)],[d31,c10]) ).

cnf(d33,plain,
    ( ~ environment(X0)
    | ~ stable(X0)
    | greater('cardinality$uat$utime'('efficient$uproducers',sK17(X0)),zero)
    | ~ environment(X0)
    | ~ stable(X0) ),
    inference(resolution,[status(thm)],[d32,d1]) ).

cnf(d34,plain,
    ( subpopulations('first$umovers','efficient$uproducers',X1,sK17(X0))
    | ~ greater('cardinality$uat$utime'('first$umovers',sK17(X0)),zero)
    | ~ 'in$uenvironment'(X1,sK17(X0))
    | ~ environment(X1)
    | ~ environment(X0)
    | ~ stable(X0) ),
    inference(resolution,[status(thm)],[d33,c3]) ).

cnf(d35,plain,
    ( 'contracts$ufrom'(sK17(sK19),'first$umovers')
    | ~ environment(sK19)
    | ~ stable(sK19)
    | greater('cardinality$uat$utime'('first$umovers',sK17(sK19)),zero) ),
    inference(superposition,[status(thm)],[d27,d11]) ).

cnf(d36,plain,
    ( greater('cardinality$uat$utime'('first$umovers',sK17(sK19)),zero)
    | 'contracts$ufrom'(sK17(sK19),'first$umovers')
    | ~ stable(sK19) ),
    inference(resolution,[status(thm)],[c13,d35]) ).

cnf(d37,plain,
    ( greater('cardinality$uat$utime'('first$umovers',sK17(sK19)),zero)
    | 'contracts$ufrom'(sK17(sK19),'first$umovers') ),
    inference(resolution,[status(thm)],[c14,d36]) ).

cnf(d38,plain,
    greater('cardinality$uat$utime'('first$umovers',sK17(sK19)),zero),
    inference(resolution,[status(thm)],[d4,d37]) ).

cnf(d39,plain,
    ( subpopulations('first$umovers','efficient$uproducers',X0,sK17(sK19))
    | ~ 'in$uenvironment'(X0,sK17(sK19))
    | ~ environment(sK19)
    | ~ environment(X0)
    | ~ stable(sK19) ),
    inference(resolution,[status(thm)],[d38,d34]) ).

cnf(d40,plain,
    ( subpopulations('first$umovers','efficient$uproducers',X0,sK17(sK19))
    | ~ 'in$uenvironment'(X0,sK17(sK19))
    | ~ environment(X0)
    | ~ stable(sK19) ),
    inference(resolution,[status(thm)],[c13,d39]) ).

cnf(d41,plain,
    ( subpopulations('first$umovers','efficient$uproducers',X0,sK17(sK19))
    | ~ 'in$uenvironment'(X0,sK17(sK19))
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[c14,d40]) ).

cnf(d42,plain,
    ( ~ 'greater$uor$uequal'(sK17(sK19),sK17(X0))
    | greater(zero,'growth$urate'('first$umovers',sK17(sK19)))
    | ~ environment(X0)
    | ~ stable(X0)
    | ~ 'in$uenvironment'(X0,sK17(sK19))
    | ~ environment(X0) ),
    inference(resolution,[status(thm)],[d41,c12]) ).

cnf(d43,plain,
    ( greater(zero,'growth$urate'('first$umovers',sK17(sK19)))
    | ~ 'in$uenvironment'(sK19,sK17(sK19))
    | ~ environment(sK19)
    | ~ stable(sK19) ),
    inference(resolution,[status(thm)],[d42,d30]) ).

cnf(d44,plain,
    ( greater(zero,'growth$urate'('first$umovers',sK17(sK19)))
    | ~ 'in$uenvironment'(sK19,sK17(sK19))
    | ~ stable(sK19) ),
    inference(resolution,[status(thm)],[c13,d43]) ).

cnf(d45,plain,
    ( greater(zero,'growth$urate'('first$umovers',sK17(sK19)))
    | ~ 'in$uenvironment'(sK19,sK17(sK19)) ),
    inference(resolution,[status(thm)],[c14,d44]) ).

cnf(d46,plain,
    ( ~ 'in$uenvironment'(X0,sK17(sK19))
    | ~ environment(X0)
    | ~ stable(X0)
    | ~ 'in$uenvironment'(sK19,sK17(sK19)) ),
    inference(resolution,[status(thm)],[d45,d29]) ).

cnf(d47,plain,
    ( ~ environment(sK19)
    | ~ stable(sK19)
    | ~ 'in$uenvironment'(X0,sK17(sK19))
    | ~ environment(X0)
    | ~ stable(X0) ),
    inference(resolution,[status(thm)],[d46,d1]) ).

cnf(d48,plain,
    ( ~ 'in$uenvironment'(X0,sK17(sK19))
    | ~ environment(X0)
    | ~ stable(sK19)
    | ~ stable(X0) ),
    inference(resolution,[status(thm)],[c13,d47]) ).

cnf(d49,plain,
    ( ~ 'in$uenvironment'(X0,sK17(sK19))
    | ~ environment(X0)
    | ~ stable(X0) ),
    inference(resolution,[status(thm)],[c14,d48]) ).

cnf(d50,plain,
    ( ~ environment(sK19)
    | ~ stable(sK19)
    | ~ environment(sK19)
    | ~ stable(sK19) ),
    inference(resolution,[status(thm)],[d49,d1]) ).

cnf(d51,plain,
    ~ stable(sK19),
    inference(resolution,[status(thm)],[c13,d50]) ).

cnf(d52,plain,
    $false,
    inference(resolution,[status(thm)],[c14,d51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT027+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36  % Computer : n014.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Sat Sep 26 00:04:48 UTC 2026
% 0.08/0.37  % CPUTime  : 
% 0.08/0.37  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.66/2.06  % SZS status Theorem for theBenchmark.p
% 12.66/2.06  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------