%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT021+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 : n010.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 08:01:02 AM UTC 2026
% Result : Theorem 10.19s 16.79s
% Output : CNFRefutation 10.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 11 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 108 ( 49 ~; 39 |; 9 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp_time_point_in_environment,axiom,
! [X0,X1] :
( ( subpopulations('first$umovers','efficient$uproducers',X0,X1)
& environment(X0) )
=> 'in$uenvironment'(X0,X1) ) ).
fof(mp_environment_not_empty,axiom,
! [X0,X1] :
( ( subpopulations('first$umovers','efficient$uproducers',X0,X1)
& environment(X0) )
=> greater('number$uof$uorganizations'(X0,X1),zero) ) ).
fof(mp_increase_not_decrease,axiom,
! [X0] :
( increases(X0)
=> ~ decreases(X0) ) ).
fof(a3,hypothesis,
! [X0,X1] :
( ( greater('number$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(l4,hypothesis,
! [X0,X1] :
( ( subpopulations('first$umovers','efficient$uproducers',X0,X1)
& environment(X0) )
=> ( ( constant(resources(X0,X1))
=> ~ decreases(difference('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1))) )
& ( decreases(resources(X0,X1))
=> increases(difference('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1))) ) ) ) ).
fof(prove_l3,conjecture,
! [X0,X1] :
( ( subpopulations('first$umovers','efficient$uproducers',X0,X1)
& environment(X0) )
=> ~ decreases(difference('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1))) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ( subpopulations('first$umovers','efficient$uproducers',X0,X1)
& environment(X0) )
=> ~ decreases(difference('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1))) ),
inference(negate_conjecture,[status(cth)],[prove_l3]) ).
cnf(c0,plain,
( 'in$uenvironment'(X0,X1)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_time_point_in_environment]) ).
cnf(c1,plain,
( greater('number$uof$uorganizations'(X0,X1),zero)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_environment_not_empty]) ).
cnf(c2,plain,
( ~ decreases(X0)
| ~ increases(X0) ),
inference(clausification,[status(esa)],[mp_increase_not_decrease]) ).
cnf(c4,plain,
( ~ greater('number$uof$uorganizations'(X0,X1),zero)
| ~ environment(X0)
| decreases(resources(X0,X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ greater(equilibrium(X0),X1) ),
inference(clausification,[status(esa)],[a3]) ).
cnf(c5,plain,
( ~ greater('number$uof$uorganizations'(X0,X1),zero)
| ~ environment(X0)
| greater(equilibrium(X0),X1)
| ~ 'in$uenvironment'(X0,X1)
| constant(resources(X0,X1)) ),
inference(clausification,[status(esa)],[a3]) ).
cnf(c6,plain,
( increases(difference('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1)))
| ~ decreases(resources(X0,X1))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[l4]) ).
cnf(c7,plain,
( ~ decreases(difference('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1)))
| ~ constant(resources(X0,X1))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[l4]) ).
cnf(c8,plain,
environment(sK11),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c9,plain,
subpopulations('first$umovers','efficient$uproducers',sK11,sK12),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c10,plain,
decreases(difference('disbanding$urate'('first$umovers',sK12),'disbanding$urate'('efficient$uproducers',sK12))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( greater('number$uof$uorganizations'(sK11,sK12),zero)
| ~ environment(sK11) ),
inference(resolution,[status(thm)],[c1,c9]) ).
cnf(d1,plain,
greater('number$uof$uorganizations'(sK11,sK12),zero),
inference(resolution,[status(thm)],[c8,d0]) ).
cnf(d2,plain,
( constant(resources(sK11,sK12))
| greater(equilibrium(sK11),sK12)
| ~ 'in$uenvironment'(sK11,sK12)
| ~ environment(sK11) ),
inference(resolution,[status(thm)],[c5,d1]) ).
cnf(d3,plain,
( constant(resources(sK11,sK12))
| greater(equilibrium(sK11),sK12)
| ~ 'in$uenvironment'(sK11,sK12) ),
inference(resolution,[status(thm)],[c8,d2]) ).
cnf(d4,plain,
( 'in$uenvironment'(sK11,sK12)
| ~ environment(sK11) ),
inference(resolution,[status(thm)],[c9,c0]) ).
cnf(d5,plain,
'in$uenvironment'(sK11,sK12),
inference(resolution,[status(thm)],[c8,d4]) ).
cnf(d6,plain,
( constant(resources(sK11,sK12))
| greater(equilibrium(sK11),sK12) ),
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
( decreases(resources(sK11,sK12))
| ~ greater(equilibrium(sK11),sK12)
| ~ 'in$uenvironment'(sK11,sK12)
| ~ environment(sK11) ),
inference(resolution,[status(thm)],[c4,d1]) ).
cnf(d8,plain,
( decreases(resources(sK11,sK12))
| ~ greater(equilibrium(sK11),sK12)
| ~ 'in$uenvironment'(sK11,sK12) ),
inference(resolution,[status(thm)],[c8,d7]) ).
cnf(d9,plain,
( decreases(resources(sK11,sK12))
| ~ greater(equilibrium(sK11),sK12) ),
inference(resolution,[status(thm)],[d5,d8]) ).
cnf(d10,plain,
( ~ decreases(resources(sK11,sK12))
| increases(difference('disbanding$urate'('first$umovers',sK12),'disbanding$urate'('efficient$uproducers',sK12)))
| ~ environment(sK11) ),
inference(resolution,[status(thm)],[c6,c9]) ).
cnf(d11,plain,
( ~ decreases(resources(sK11,sK12))
| increases(difference('disbanding$urate'('first$umovers',sK12),'disbanding$urate'('efficient$uproducers',sK12))) ),
inference(resolution,[status(thm)],[c8,d10]) ).
cnf(d12,plain,
~ increases(difference('disbanding$urate'('first$umovers',sK12),'disbanding$urate'('efficient$uproducers',sK12))),
inference(resolution,[status(thm)],[c10,c2]) ).
cnf(d13,plain,
~ decreases(resources(sK11,sK12)),
inference(resolution,[status(thm)],[d12,d11]) ).
cnf(d14,plain,
~ greater(equilibrium(sK11),sK12),
inference(resolution,[status(thm)],[d13,d9]) ).
cnf(d15,plain,
constant(resources(sK11,sK12)),
inference(resolution,[status(thm)],[d14,d6]) ).
cnf(d16,plain,
( ~ constant(resources(X0,sK12))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,sK12)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c7,c10]) ).
cnf(d17,plain,
( ~ constant(resources(sK11,sK12))
| ~ environment(sK11) ),
inference(resolution,[status(thm)],[d16,c9]) ).
cnf(d18,plain,
~ constant(resources(sK11,sK12)),
inference(resolution,[status(thm)],[c8,d17]) ).
cnf(d19,plain,
$false,
inference(resolution,[status(thm)],[d18,d15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT021+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/15.43 % Computer : n010.cluster.edu
% 0.14/15.43 % Model : x86_64 x86_64
% 0.14/15.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/15.43 % Memory : 8046.5625MB
% 0.14/15.43 % OS : Linux 6.8.0-71-generic
% 0.14/15.43 % CPULimit : 300
% 0.14/15.43 % WCLimit : 300
% 0.14/15.43 % DateTime : Sat Sep 26 00:04:47 UTC 2026
% 0.14/15.43 % CPUTime :
% 0.14/15.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.19/16.79 % SZS status Theorem for theBenchmark.p
% 10.19/16.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------