%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT037+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 08:01:18 AM UTC 2026
% Result : Theorem 13.34s 2.29s
% Output : CNFRefutation 13.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 16
% Syntax : Number of formulae : 121 ( 16 unt; 0 def)
% Number of atoms : 456 ( 117 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 546 ( 211 ~; 281 |; 34 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 117 ( 0 sgn 35 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp_previous_negative_growth,axiom,
! [X0,X1] :
( ( 'cardinality$uat$utime'('efficient$uproducers',X1) = zero
& 'greater$uor$uequal'(X1,appear('efficient$uproducers',X0))
& environment(X0) )
=> ? [X2] :
( greater(zero,'growth$urate'('efficient$uproducers',X2))
& greater(X1,X2)
& 'in$uenvironment'(X0,X2)
& greater(X2,appear('efficient$uproducers',X0)) ) ) ).
fof(mp_start_of_organizations,axiom,
! [X0,X1] :
( ( greater(appear('an$uorganisation',X0),X1)
& 'in$uenvironment'(X0,X1)
& environment(X0) )
=> 'number$uof$uorganizations'(X0,X1) = zero ) ).
fof(mp_non_decreasing,axiom,
! [X0,X1] :
( ( ~ decreases('number$uof$uorganizations'(X0,X1))
& 'in$uenvironment'(X0,X1)
& environment(X0) )
=> ? [X2] :
( ~ greater(zero,'growth$urate'(X2,X1))
& greater('cardinality$uat$utime'(X2,X1),zero)
& subpopulation(X2,X0,X1) ) ) ).
fof(mp_no_members,axiom,
! [X0,X1,X2] :
( ( subpopulation(X2,X0,X1)
& 'number$uof$uorganizations'(X0,X1) = zero
& 'in$uenvironment'(X0,X1)
& environment(X0) )
=> 'cardinality$uat$utime'(X2,X1) = zero ) ).
fof(mp_subpopulations,axiom,
! [X0,X1] :
( ( 'in$uenvironment'(X0,X1)
& environment(X0) )
=> ( subpopulation('efficient$uproducers',X0,X1)
& subpopulation('first$umovers',X0,X1) ) ) ).
fof(mp_empty_not_decreasing,axiom,
! [X0,X1] :
( 'cardinality$uat$utime'(X0,X1) = zero
=> ~ greater(zero,'growth$urate'(X0,X1)) ) ).
fof(mp_efficient_producers_exist,axiom,
! [X0,X1] :
( ( 'in$uenvironment'(X0,X1)
& environment(X0) )
=> ( greater('cardinality$uat$utime'('efficient$uproducers',X1),zero)
| 'cardinality$uat$utime'('efficient$uproducers',X1) = zero ) ) ).
fof(mp_constant_not_decrease,axiom,
! [X0] :
( constant(X0)
=> ~ decreases(X0) ) ).
fof(mp_environment_inequality,axiom,
! [X0,X1] :
( ( 'in$uenvironment'(X0,X1)
& environment(X0) )
=> ( greater(appear('an$uorganisation',X0),X1)
| 'greater$uor$uequal'(X1,appear('an$uorganisation',X0)) ) ) ).
fof(a3,hypothesis,
! [X0,X1] :
( ( greater('number$uof$uorganizations'(X0,X1),zero)
& 'in$uenvironment'(X0,X1)
& environment(X0) )
=> ( ( ~ greater(equilibrium(X0),X1)
=> constant(resources(X0,X1)) )
& ( greater(equilibrium(X0),X1)
=> decreases(resources(X0,X1)) ) ) ) ).
fof(a1,hypothesis,
! [X0,X1] :
( ( 'greater$uor$uequal'(X1,appear('an$uorganisation',X0))
& 'in$uenvironment'(X0,X1)
& environment(X0) )
=> greater('number$uof$uorganizations'(X0,X1),zero) ) ).
fof(a6,hypothesis,
! [X0,X1] :
( ( 'in$uenvironment'(X0,X1)
& environment(X0) )
=> ( ( constant(resources(X0,X1))
=> constant('number$uof$uorganizations'(X0,X1)) )
& ( decreases(resources(X0,X1))
=> ~ decreases('number$uof$uorganizations'(X0,X1)) ) ) ) ).
fof(a12,hypothesis,
! [X0,X1,X2,X3] :
( ( greater(resilience(X2),resilience(X1))
& ~ greater(zero,'growth$urate'(X1,X3))
& 'in$uenvironment'(X0,X3)
& environment(X0) )
=> ~ greater(zero,'growth$urate'(X2,X3)) ) ).
fof(a2,hypothesis,
greater(resilience('efficient$uproducers'),resilience('first$umovers')) ).
fof(a9,hypothesis,
! [X0,X1,X2] :
( ( greater('cardinality$uat$utime'(X1,X2),zero)
& subpopulation(X1,X0,X2)
& environment(X0) )
=> ( X1 = 'first$umovers'
| X1 = 'efficient$uproducers' ) ) ).
fof(prove_t6,conjecture,
! [X0,X1] :
( ( 'greater$uor$uequal'(X1,appear('efficient$uproducers',X0))
& 'in$uenvironment'(X0,X1)
& environment(X0) )
=> greater('cardinality$uat$utime'('efficient$uproducers',X1),zero) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ( 'greater$uor$uequal'(X1,appear('efficient$uproducers',X0))
& 'in$uenvironment'(X0,X1)
& environment(X0) )
=> greater('cardinality$uat$utime'('efficient$uproducers',X1),zero) ),
inference(negate_conjecture,[status(cth)],[prove_t6]) ).
cnf(c1,plain,
( 'in$uenvironment'(X0,sK2(X0,X1))
| 'cardinality$uat$utime'('efficient$uproducers',X1) != zero
| ~ 'greater$uor$uequal'(X1,appear('efficient$uproducers',X0))
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_previous_negative_growth]) ).
cnf(c3,plain,
( greater(zero,'growth$urate'('efficient$uproducers',sK2(X0,X1)))
| 'cardinality$uat$utime'('efficient$uproducers',X1) != zero
| ~ 'greater$uor$uequal'(X1,appear('efficient$uproducers',X0))
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_previous_negative_growth]) ).
cnf(c4,plain,
( 'number$uof$uorganizations'(X0,X1) = zero
| ~ greater(appear('an$uorganisation',X0),X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_start_of_organizations]) ).
cnf(c5,plain,
( subpopulation(sK7(X0,X1),X0,X1)
| decreases('number$uof$uorganizations'(X0,X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_non_decreasing]) ).
cnf(c6,plain,
( greater('cardinality$uat$utime'(sK7(X0,X1),X1),zero)
| decreases('number$uof$uorganizations'(X0,X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_non_decreasing]) ).
cnf(c7,plain,
( ~ greater(zero,'growth$urate'(sK7(X0,X1),X1))
| decreases('number$uof$uorganizations'(X0,X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_non_decreasing]) ).
cnf(c8,plain,
( 'cardinality$uat$utime'(X2,X1) = zero
| ~ environment(X0)
| ~ subpopulation(X2,X0,X1)
| 'number$uof$uorganizations'(X0,X1) != zero
| ~ 'in$uenvironment'(X0,X1) ),
inference(clausification,[status(esa)],[mp_no_members]) ).
cnf(c10,plain,
( subpopulation('efficient$uproducers',X0,X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_subpopulations]) ).
cnf(c11,plain,
( ~ greater(zero,'growth$urate'(X0,X1))
| 'cardinality$uat$utime'(X0,X1) != zero ),
inference(clausification,[status(esa)],[mp_empty_not_decreasing]) ).
cnf(c12,plain,
( greater('cardinality$uat$utime'('efficient$uproducers',X1),zero)
| 'cardinality$uat$utime'('efficient$uproducers',X1) = zero
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_efficient_producers_exist]) ).
cnf(c13,plain,
( ~ decreases(X0)
| ~ constant(X0) ),
inference(clausification,[status(esa)],[mp_constant_not_decrease]) ).
cnf(c14,plain,
( greater(appear('an$uorganisation',X0),X1)
| 'greater$uor$uequal'(X1,appear('an$uorganisation',X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_environment_inequality]) ).
cnf(c15,plain,
( ~ greater(equilibrium(X0),X1)
| decreases(resources(X0,X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ greater('number$uof$uorganizations'(X0,X1),zero)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[a3]) ).
cnf(c16,plain,
( ~ 'in$uenvironment'(X0,X1)
| constant(resources(X0,X1))
| greater(equilibrium(X0),X1)
| ~ greater('number$uof$uorganizations'(X0,X1),zero)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[a3]) ).
cnf(c17,plain,
( greater('number$uof$uorganizations'(X0,X1),zero)
| ~ 'greater$uor$uequal'(X1,appear('an$uorganisation',X0))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[a1]) ).
cnf(c18,plain,
( ~ decreases('number$uof$uorganizations'(X0,X1))
| ~ decreases(resources(X0,X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[a6]) ).
cnf(c19,plain,
( constant('number$uof$uorganizations'(X0,X1))
| ~ constant(resources(X0,X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[a6]) ).
cnf(c20,plain,
( ~ 'in$uenvironment'(X0,X2)
| greater(zero,'growth$urate'(X3,X2))
| ~ greater(resilience(X1),resilience(X3))
| ~ greater(zero,'growth$urate'(X1,X2))
| ~ environment(X0) ),
inference(clausification,[status(esa)],[a12]) ).
cnf(c21,plain,
greater(resilience('efficient$uproducers'),resilience('first$umovers')),
inference(clausification,[status(esa)],[a2]) ).
cnf(c22,plain,
( ~ greater('cardinality$uat$utime'(X0,X2),zero)
| ~ subpopulation(X0,X1,X2)
| X0 = 'first$umovers'
| ~ environment(X1)
| X0 = 'efficient$uproducers' ),
inference(clausification,[status(esa)],[a9]) ).
cnf(c23,plain,
environment(sK33),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c24,plain,
'in$uenvironment'(sK33,sK34),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c25,plain,
'greater$uor$uequal'(sK34,appear('efficient$uproducers',sK33)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c26,plain,
~ greater('cardinality$uat$utime'('efficient$uproducers',sK34),zero),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( greater('cardinality$uat$utime'('efficient$uproducers',sK34),zero)
| ~ environment(sK33)
| 'cardinality$uat$utime'('efficient$uproducers',sK34) = zero ),
inference(resolution,[status(thm)],[c12,c24]) ).
cnf(d1,plain,
( greater('cardinality$uat$utime'('efficient$uproducers',sK34),zero)
| 'cardinality$uat$utime'('efficient$uproducers',sK34) = zero ),
inference(resolution,[status(thm)],[c23,d0]) ).
cnf(d2,plain,
'cardinality$uat$utime'('efficient$uproducers',sK34) = zero,
inference(resolution,[status(thm)],[c26,d1]) ).
cnf(d3,plain,
( greater(zero,'growth$urate'('efficient$uproducers',sK2(X0,sK34)))
| ~ environment(X0)
| ~ 'greater$uor$uequal'(sK34,appear('efficient$uproducers',X0))
| zero != zero ),
inference(superposition,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
( greater(zero,'growth$urate'('efficient$uproducers',sK2(X0,sK34)))
| ~ environment(X0)
| ~ 'greater$uor$uequal'(sK34,appear('efficient$uproducers',X0)) ),
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
( 'in$uenvironment'(X0,sK2(X0,sK34))
| ~ environment(X0)
| ~ 'greater$uor$uequal'(sK34,appear('efficient$uproducers',X0))
| zero != zero ),
inference(superposition,[status(thm)],[d2,c1]) ).
cnf(d6,plain,
( 'in$uenvironment'(X0,sK2(X0,sK34))
| ~ environment(X0)
| ~ 'greater$uor$uequal'(sK34,appear('efficient$uproducers',X0)) ),
inference(equality_resolution,[status(thm)],[d5]) ).
cnf(d7,plain,
( 'in$uenvironment'(sK33,sK2(sK33,sK34))
| ~ environment(sK33) ),
inference(resolution,[status(thm)],[d6,c25]) ).
cnf(d8,plain,
'in$uenvironment'(sK33,sK2(sK33,sK34)),
inference(resolution,[status(thm)],[c23,d7]) ).
cnf(d9,plain,
( decreases('number$uof$uorganizations'(X0,X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| ~ subpopulation(sK7(X0,X1),X2,X1)
| ~ environment(X2)
| sK7(X0,X1) = 'first$umovers'
| sK7(X0,X1) = 'efficient$uproducers' ),
inference(resolution,[status(thm)],[c22,c6]) ).
cnf(d10,plain,
( decreases('number$uof$uorganizations'(X0,X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| decreases('number$uof$uorganizations'(X0,X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| ~ environment(X0)
| sK7(X0,X1) = 'first$umovers'
| sK7(X0,X1) = 'efficient$uproducers' ),
inference(resolution,[status(thm)],[d9,c5]) ).
cnf(d11,plain,
( ~ 'in$uenvironment'(X0,X1)
| greater(appear('an$uorganisation',X0),X1)
| ~ environment(X0)
| ~ 'in$uenvironment'(X0,X1)
| greater('number$uof$uorganizations'(X0,X1),zero)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c17,c14]) ).
cnf(d12,plain,
( decreases(resources(X0,X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ greater(equilibrium(X0),X1)
| ~ environment(X0)
| ~ 'in$uenvironment'(X0,X1)
| greater(appear('an$uorganisation',X0),X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d11,c15]) ).
cnf(d13,plain,
( ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| 'number$uof$uorganizations'(X0,X1) = zero
| decreases(resources(X0,X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ greater(equilibrium(X0),X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d12,c4]) ).
cnf(d14,plain,
( constant(resources(X0,X1))
| ~ 'in$uenvironment'(X0,X1)
| greater(equilibrium(X0),X1)
| ~ environment(X0)
| ~ 'in$uenvironment'(X0,X1)
| greater(appear('an$uorganisation',X0),X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d11,c16]) ).
cnf(d15,plain,
( ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| 'number$uof$uorganizations'(X0,X1) = zero
| constant(resources(X0,X1))
| ~ 'in$uenvironment'(X0,X1)
| greater(equilibrium(X0),X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d14,c4]) ).
cnf(d16,plain,
( constant('number$uof$uorganizations'(X0,X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| ~ 'in$uenvironment'(X0,X1)
| greater(equilibrium(X0),X1)
| ~ environment(X0)
| 'number$uof$uorganizations'(X0,X1) = zero ),
inference(resolution,[status(thm)],[d15,c19]) ).
cnf(d17,plain,
( ~ decreases('number$uof$uorganizations'(X0,X1))
| ~ 'in$uenvironment'(X0,X1)
| greater(equilibrium(X0),X1)
| ~ environment(X0)
| 'number$uof$uorganizations'(X0,X1) = zero ),
inference(resolution,[status(thm)],[d16,c13]) ).
cnf(d18,plain,
( ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| sK7(X0,X1) = 'first$umovers'
| sK7(X0,X1) = 'efficient$uproducers'
| ~ 'in$uenvironment'(X0,X1)
| greater(equilibrium(X0),X1)
| ~ environment(X0)
| 'number$uof$uorganizations'(X0,X1) = zero ),
inference(resolution,[status(thm)],[d17,d10]) ).
cnf(d19,plain,
( decreases(resources(X0,X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| 'number$uof$uorganizations'(X0,X1) = zero
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| sK7(X0,X1) = 'first$umovers'
| sK7(X0,X1) = 'efficient$uproducers'
| 'number$uof$uorganizations'(X0,X1) = zero ),
inference(resolution,[status(thm)],[d18,d13]) ).
cnf(d20,plain,
( ~ decreases('number$uof$uorganizations'(X0,X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| sK7(X0,X1) = 'first$umovers'
| sK7(X0,X1) = 'efficient$uproducers'
| 'number$uof$uorganizations'(X0,X1) = zero ),
inference(resolution,[status(thm)],[d19,c18]) ).
cnf(d21,plain,
( ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| sK7(X0,X1) = 'first$umovers'
| sK7(X0,X1) = 'efficient$uproducers'
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| sK7(X0,X1) = 'first$umovers'
| sK7(X0,X1) = 'efficient$uproducers'
| 'number$uof$uorganizations'(X0,X1) = zero ),
inference(resolution,[status(thm)],[d20,d10]) ).
cnf(d22,plain,
( ~ environment(sK33)
| sK7(sK33,sK2(sK33,sK34)) = 'first$umovers'
| sK7(sK33,sK2(sK33,sK34)) = 'efficient$uproducers'
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d21,d8]) ).
cnf(d23,plain,
( sK7(sK33,sK2(sK33,sK34)) = 'first$umovers'
| sK7(sK33,sK2(sK33,sK34)) = 'efficient$uproducers'
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[c23,d22]) ).
cnf(d24,plain,
( sK7(sK33,sK2(sK33,sK34)) = 'efficient$uproducers'
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero
| decreases('number$uof$uorganizations'(sK33,sK2(sK33,sK34)))
| ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| ~ environment(sK33)
| ~ greater(zero,'growth$urate'('first$umovers',sK2(sK33,sK34))) ),
inference(superposition,[status(thm)],[d23,c7]) ).
cnf(d25,plain,
( decreases('number$uof$uorganizations'(sK33,sK2(sK33,sK34)))
| ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| ~ greater(zero,'growth$urate'('first$umovers',sK2(sK33,sK34)))
| sK7(sK33,sK2(sK33,sK34)) = 'efficient$uproducers'
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[c23,d24]) ).
cnf(d26,plain,
( decreases('number$uof$uorganizations'(sK33,sK2(sK33,sK34)))
| ~ greater(zero,'growth$urate'('first$umovers',sK2(sK33,sK34)))
| sK7(sK33,sK2(sK33,sK34)) = 'efficient$uproducers'
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d8,d25]) ).
cnf(d27,plain,
( ~ 'in$uenvironment'(X0,X1)
| ~ greater(zero,'growth$urate'('efficient$uproducers',X1))
| greater(zero,'growth$urate'('first$umovers',X1))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c20,c21]) ).
cnf(d28,plain,
( ~ 'in$uenvironment'(X1,sK2(X0,sK34))
| greater(zero,'growth$urate'('first$umovers',sK2(X0,sK34)))
| ~ environment(X1)
| ~ environment(X0)
| ~ 'greater$uor$uequal'(sK34,appear('efficient$uproducers',X0)) ),
inference(resolution,[status(thm)],[d4,d27]) ).
cnf(d29,plain,
( greater(zero,'growth$urate'('first$umovers',sK2(sK33,sK34)))
| ~ environment(sK33)
| ~ environment(sK33)
| ~ 'greater$uor$uequal'(sK34,appear('efficient$uproducers',sK33)) ),
inference(resolution,[status(thm)],[d28,d8]) ).
cnf(d30,plain,
( greater(zero,'growth$urate'('first$umovers',sK2(sK33,sK34)))
| ~ 'greater$uor$uequal'(sK34,appear('efficient$uproducers',sK33)) ),
inference(resolution,[status(thm)],[c23,d29]) ).
cnf(d31,plain,
greater(zero,'growth$urate'('first$umovers',sK2(sK33,sK34))),
inference(resolution,[status(thm)],[c25,d30]) ).
cnf(d32,plain,
( decreases('number$uof$uorganizations'(sK33,sK2(sK33,sK34)))
| sK7(sK33,sK2(sK33,sK34)) = 'efficient$uproducers'
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d31,d26]) ).
cnf(d33,plain,
( ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| greater(equilibrium(sK33),sK2(sK33,sK34))
| ~ environment(sK33)
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero
| sK7(sK33,sK2(sK33,sK34)) = 'efficient$uproducers'
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d32,d17]) ).
cnf(d34,plain,
( ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| greater(equilibrium(sK33),sK2(sK33,sK34))
| sK7(sK33,sK2(sK33,sK34)) = 'efficient$uproducers'
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[c23,d33]) ).
cnf(d35,plain,
( greater(equilibrium(sK33),sK2(sK33,sK34))
| sK7(sK33,sK2(sK33,sK34)) = 'efficient$uproducers'
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d8,d34]) ).
cnf(d36,plain,
( decreases(resources(sK33,sK2(sK33,sK34)))
| ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| ~ environment(sK33)
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero
| sK7(sK33,sK2(sK33,sK34)) = 'efficient$uproducers'
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d35,d13]) ).
cnf(d37,plain,
( decreases(resources(sK33,sK2(sK33,sK34)))
| ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| sK7(sK33,sK2(sK33,sK34)) = 'efficient$uproducers'
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[c23,d36]) ).
cnf(d38,plain,
( decreases(resources(sK33,sK2(sK33,sK34)))
| sK7(sK33,sK2(sK33,sK34)) = 'efficient$uproducers'
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d8,d37]) ).
cnf(d39,plain,
( ~ decreases('number$uof$uorganizations'(sK33,sK2(sK33,sK34)))
| ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| ~ environment(sK33)
| sK7(sK33,sK2(sK33,sK34)) = 'efficient$uproducers'
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d38,c18]) ).
cnf(d40,plain,
( ~ decreases('number$uof$uorganizations'(sK33,sK2(sK33,sK34)))
| ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| sK7(sK33,sK2(sK33,sK34)) = 'efficient$uproducers'
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[c23,d39]) ).
cnf(d41,plain,
( ~ decreases('number$uof$uorganizations'(sK33,sK2(sK33,sK34)))
| sK7(sK33,sK2(sK33,sK34)) = 'efficient$uproducers'
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d8,d40]) ).
cnf(d42,plain,
( sK7(sK33,sK2(sK33,sK34)) = 'efficient$uproducers'
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero
| sK7(sK33,sK2(sK33,sK34)) = 'efficient$uproducers'
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d41,d32]) ).
cnf(d43,plain,
( 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero
| decreases('number$uof$uorganizations'(sK33,sK2(sK33,sK34)))
| ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| ~ environment(sK33)
| ~ greater(zero,'growth$urate'('efficient$uproducers',sK2(sK33,sK34))) ),
inference(superposition,[status(thm)],[d42,c7]) ).
cnf(d44,plain,
( decreases('number$uof$uorganizations'(sK33,sK2(sK33,sK34)))
| ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| ~ greater(zero,'growth$urate'('efficient$uproducers',sK2(sK33,sK34)))
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[c23,d43]) ).
cnf(d45,plain,
( decreases('number$uof$uorganizations'(sK33,sK2(sK33,sK34)))
| ~ greater(zero,'growth$urate'('efficient$uproducers',sK2(sK33,sK34)))
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d8,d44]) ).
cnf(d46,plain,
( ~ environment(sK33)
| ~ 'greater$uor$uequal'(sK34,appear('efficient$uproducers',sK33))
| decreases('number$uof$uorganizations'(sK33,sK2(sK33,sK34)))
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d45,d4]) ).
cnf(d47,plain,
( decreases('number$uof$uorganizations'(sK33,sK2(sK33,sK34)))
| ~ 'greater$uor$uequal'(sK34,appear('efficient$uproducers',sK33))
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[c23,d46]) ).
cnf(d48,plain,
( decreases('number$uof$uorganizations'(sK33,sK2(sK33,sK34)))
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[c25,d47]) ).
cnf(d49,plain,
( ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| greater(equilibrium(sK33),sK2(sK33,sK34))
| ~ environment(sK33)
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d48,d17]) ).
cnf(d50,plain,
( ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| greater(equilibrium(sK33),sK2(sK33,sK34))
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[c23,d49]) ).
cnf(d51,plain,
( greater(equilibrium(sK33),sK2(sK33,sK34))
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d8,d50]) ).
cnf(d52,plain,
( decreases(resources(sK33,sK2(sK33,sK34)))
| ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| ~ environment(sK33)
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d51,d13]) ).
cnf(d53,plain,
( decreases(resources(sK33,sK2(sK33,sK34)))
| ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[c23,d52]) ).
cnf(d54,plain,
( decreases(resources(sK33,sK2(sK33,sK34)))
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d8,d53]) ).
cnf(d55,plain,
( ~ decreases('number$uof$uorganizations'(sK33,sK2(sK33,sK34)))
| ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| ~ environment(sK33)
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d54,c18]) ).
cnf(d56,plain,
( ~ decreases('number$uof$uorganizations'(sK33,sK2(sK33,sK34)))
| ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[c23,d55]) ).
cnf(d57,plain,
( ~ decreases('number$uof$uorganizations'(sK33,sK2(sK33,sK34)))
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d8,d56]) ).
cnf(d58,plain,
( 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d57,d48]) ).
cnf(d59,plain,
( ~ subpopulation(X0,sK33,sK2(sK33,sK34))
| ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| ~ environment(sK33)
| 'cardinality$uat$utime'(X0,sK2(sK33,sK34)) = zero
| zero != zero ),
inference(superposition,[status(thm)],[d58,c8]) ).
cnf(d60,plain,
( ~ subpopulation(X0,sK33,sK2(sK33,sK34))
| ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| zero != zero
| 'cardinality$uat$utime'(X0,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[c23,d59]) ).
cnf(d61,plain,
( ~ subpopulation(X0,sK33,sK2(sK33,sK34))
| zero != zero
| 'cardinality$uat$utime'(X0,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d8,d60]) ).
cnf(d62,plain,
( ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| greater(appear('an$uorganisation',sK33),sK2(sK33,sK34))
| ~ environment(sK33)
| greater(zero,zero) ),
inference(superposition,[status(thm)],[d58,d11]) ).
cnf(d63,plain,
( ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| greater(zero,zero)
| greater(appear('an$uorganisation',sK33),sK2(sK33,sK34)) ),
inference(resolution,[status(thm)],[c23,d62]) ).
cnf(d64,plain,
~ greater(zero,zero),
inference(demodulation,[status(thm)],[c26,d2]) ).
cnf(d65,plain,
( ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| greater(appear('an$uorganisation',sK33),sK2(sK33,sK34)) ),
inference(resolution,[status(thm)],[d64,d63]) ).
cnf(d66,plain,
greater(appear('an$uorganisation',sK33),sK2(sK33,sK34)),
inference(resolution,[status(thm)],[d8,d65]) ).
cnf(d67,plain,
( ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| ~ environment(sK33)
| 'number$uof$uorganizations'(sK33,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d66,c4]) ).
cnf(d68,plain,
( ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| ~ environment(sK33)
| zero = zero ),
inference(demodulation,[status(thm)],[d67,d58]) ).
cnf(d69,plain,
( ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| zero = zero ),
inference(resolution,[status(thm)],[c23,d68]) ).
cnf(d70,plain,
zero = zero,
inference(resolution,[status(thm)],[d8,d69]) ).
cnf(d71,plain,
( ~ subpopulation(X0,sK33,sK2(sK33,sK34))
| 'cardinality$uat$utime'(X0,sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d70,d61]) ).
cnf(d72,plain,
( ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| ~ environment(sK33)
| 'cardinality$uat$utime'('efficient$uproducers',sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[d71,c10]) ).
cnf(d73,plain,
( ~ 'in$uenvironment'(sK33,sK2(sK33,sK34))
| 'cardinality$uat$utime'('efficient$uproducers',sK2(sK33,sK34)) = zero ),
inference(resolution,[status(thm)],[c23,d72]) ).
cnf(d74,plain,
'cardinality$uat$utime'('efficient$uproducers',sK2(sK33,sK34)) = zero,
inference(resolution,[status(thm)],[d8,d73]) ).
cnf(d75,plain,
( ~ greater(zero,'growth$urate'('efficient$uproducers',sK2(sK33,sK34)))
| zero != zero ),
inference(superposition,[status(thm)],[d74,c11]) ).
cnf(d76,plain,
~ greater(zero,'growth$urate'('efficient$uproducers',sK2(sK33,sK34))),
inference(resolution,[status(thm)],[d70,d75]) ).
cnf(d77,plain,
( ~ environment(sK33)
| ~ 'greater$uor$uequal'(sK34,appear('efficient$uproducers',sK33)) ),
inference(resolution,[status(thm)],[d76,d4]) ).
cnf(d78,plain,
~ 'greater$uor$uequal'(sK34,appear('efficient$uproducers',sK33)),
inference(resolution,[status(thm)],[c23,d77]) ).
cnf(d79,plain,
$false,
inference(resolution,[status(thm)],[c25,d78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT037+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n001.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 00:13:26 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.34/2.29 % SZS status Theorem for theBenchmark.p
% 13.34/2.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------