%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT021-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 : Unsatisfiable 14.66s 2.28s
% Output : CNFRefutation 14.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 40 ( 14 unt; 5 nHn; 40 RR)
% Number of literals : 98 ( 0 equ; 62 neg)
% Maximal clause size : 5 ( 2 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)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_time_point_in_environment_27,axiom,
( 'in$uenvironment'(X0,X1)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ) ).
cnf(mp_environment_not_empty_28,axiom,
( greater('number$uof$uorganizations'(X0,X1),zero)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ) ).
cnf(mp_increase_not_decrease_29,axiom,
( ~ decreases(X0)
| ~ increases(X0) ) ).
cnf(a3_31,hypothesis,
( decreases(resources(X0,X1))
| ~ greater(equilibrium(X0),X1)
| ~ greater('number$uof$uorganizations'(X0,X1),zero)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(a3_32,hypothesis,
( constant(resources(X0,X1))
| greater(equilibrium(X0),X1)
| ~ greater('number$uof$uorganizations'(X0,X1),zero)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(l4_33,hypothesis,
( increases(difference('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1)))
| ~ decreases(resources(X0,X1))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ) ).
cnf(l4_34,hypothesis,
( ~ decreases(difference('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1)))
| ~ constant(resources(X0,X1))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ) ).
cnf(prove_l3_35,negated_conjecture,
environment(sk1) ).
cnf(prove_l3_36,negated_conjecture,
subpopulations('first$umovers','efficient$uproducers',sk1,sk2) ).
cnf(prove_l3_37,negated_conjecture,
decreases(difference('disbanding$urate'('first$umovers',sk2),'disbanding$urate'('efficient$uproducers',sk2))) ).
cnf(c0,plain,
( 'in$uenvironment'(X0,X1)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_time_point_in_environment_27]) ).
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_28]) ).
cnf(c2,plain,
( ~ decreases(X0)
| ~ increases(X0) ),
inference(clausification,[status(esa)],[mp_increase_not_decrease_29]) ).
cnf(c4,plain,
( ~ greater(equilibrium(X0),X1)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| decreases(resources(X0,X1))
| ~ greater('number$uof$uorganizations'(X0,X1),zero) ),
inference(clausification,[status(esa)],[a3_31]) ).
cnf(c5,plain,
( constant(resources(X0,X1))
| greater(equilibrium(X0),X1)
| ~ greater('number$uof$uorganizations'(X0,X1),zero)
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[a3_32]) ).
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_33]) ).
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_34]) ).
cnf(c8,plain,
environment(sk1),
inference(clausification,[status(esa)],[prove_l3_35]) ).
cnf(c9,plain,
subpopulations('first$umovers','efficient$uproducers',sk1,sk2),
inference(clausification,[status(esa)],[prove_l3_36]) ).
cnf(c10,plain,
decreases(difference('disbanding$urate'('first$umovers',sk2),'disbanding$urate'('efficient$uproducers',sk2))),
inference(clausification,[status(esa)],[prove_l3_37]) ).
cnf(d0,plain,
( ~ decreases(resources(sk1,sk2))
| increases(difference('disbanding$urate'('first$umovers',sk2),'disbanding$urate'('efficient$uproducers',sk2)))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c6,c9]) ).
cnf(d1,plain,
( ~ decreases(resources(sk1,sk2))
| increases(difference('disbanding$urate'('first$umovers',sk2),'disbanding$urate'('efficient$uproducers',sk2))) ),
inference(resolution,[status(thm)],[c8,d0]) ).
cnf(d2,plain,
~ increases(difference('disbanding$urate'('first$umovers',sk2),'disbanding$urate'('efficient$uproducers',sk2))),
inference(resolution,[status(thm)],[c10,c2]) ).
cnf(d3,plain,
~ decreases(resources(sk1,sk2)),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( greater('number$uof$uorganizations'(sk1,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c9,c1]) ).
cnf(d5,plain,
greater('number$uof$uorganizations'(sk1,sk2),zero),
inference(resolution,[status(thm)],[c8,d4]) ).
cnf(d6,plain,
( decreases(resources(sk1,sk2))
| ~ greater(equilibrium(sk1),sk2)
| ~ 'in$uenvironment'(sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[d5,c4]) ).
cnf(d7,plain,
( decreases(resources(sk1,sk2))
| ~ greater(equilibrium(sk1),sk2)
| ~ 'in$uenvironment'(sk1,sk2) ),
inference(resolution,[status(thm)],[c8,d6]) ).
cnf(d8,plain,
( 'in$uenvironment'(sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c9,c0]) ).
cnf(d9,plain,
'in$uenvironment'(sk1,sk2),
inference(resolution,[status(thm)],[c8,d8]) ).
cnf(d10,plain,
( decreases(resources(sk1,sk2))
| ~ greater(equilibrium(sk1),sk2) ),
inference(resolution,[status(thm)],[d9,d7]) ).
cnf(d11,plain,
( constant(resources(sk1,sk2))
| greater(equilibrium(sk1),sk2)
| ~ 'in$uenvironment'(sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c5,d5]) ).
cnf(d12,plain,
( constant(resources(sk1,sk2))
| greater(equilibrium(sk1),sk2)
| ~ 'in$uenvironment'(sk1,sk2) ),
inference(resolution,[status(thm)],[c8,d11]) ).
cnf(d13,plain,
( constant(resources(sk1,sk2))
| greater(equilibrium(sk1),sk2) ),
inference(resolution,[status(thm)],[d9,d12]) ).
cnf(d14,plain,
( ~ constant(resources(X0,sk2))
| ~ environment(X0)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,sk2) ),
inference(resolution,[status(thm)],[c7,c10]) ).
cnf(d15,plain,
( ~ constant(resources(sk1,sk2))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[d14,c9]) ).
cnf(d16,plain,
~ constant(resources(sk1,sk2)),
inference(resolution,[status(thm)],[c8,d15]) ).
cnf(d17,plain,
greater(equilibrium(sk1),sk2),
inference(resolution,[status(thm)],[d16,d13]) ).
cnf(d18,plain,
decreases(resources(sk1,sk2)),
inference(resolution,[status(thm)],[d17,d10]) ).
cnf(d19,plain,
$false,
inference(resolution,[status(thm)],[d18,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT021-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.33 % Computer : n004.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Sat Sep 26 00:04:22 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.07/0.33 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.66/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 14.66/2.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------