%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT036-2 : 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 : n019.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 08:01:17 AM UTC 2026
% Result : Unsatisfiable 8.45s 7.19s
% Output : CNFRefutation 8.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 39 ( 16 unt; 0 nHn; 36 RR)
% Number of literals : 85 ( 0 equ; 50 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 53 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_symmetry_of_subpopulations_1,axiom,
( subpopulations(X2,X1,X0,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ) ).
cnf(mp_time_point_occur_2,axiom,
( 'in$uenvironment'(X0,X1)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ) ).
cnf(mp_growth_rate_relationships_3,axiom,
( ~ greater(zero,'growth$urate'(X1,X2))
| environment(X0) ) ).
cnf(mp_growth_rate_relationships_5,axiom,
( ~ greater(zero,'growth$urate'(X0,X1))
| ~ 'greater$uor$uequal'('growth$urate'(X0,X1),zero) ) ).
cnf(d2_8,hypothesis,
( 'greater$uor$uequal'('growth$urate'(X2,X3),zero)
| ~ outcompetes(X2,X1,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ) ).
cnf(d2_9,hypothesis,
( greater(zero,'growth$urate'(X1,X3))
| ~ outcompetes(X2,X1,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ) ).
cnf(a2_10,hypothesis,
greater(resilience('efficient$uproducers'),resilience('first$umovers')) ).
cnf(a13_11,hypothesis,
( ~ greater(zero,'growth$urate'(X3,X1))
| ~ greater(resilience(X3),resilience(X2))
| greater(zero,'growth$urate'(X2,X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ) ).
cnf(prove_t5_12,negated_conjecture,
environment(sk1) ).
cnf(prove_t5_13,negated_conjecture,
subpopulations('first$umovers','efficient$uproducers',sk1,sk2) ).
cnf(prove_t5_14,negated_conjecture,
outcompetes('first$umovers','efficient$uproducers',sk2) ).
cnf(c0,plain,
( subpopulations(X2,X1,X0,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_symmetry_of_subpopulations_1]) ).
cnf(c1,plain,
( 'in$uenvironment'(X0,X1)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_time_point_occur_2]) ).
cnf(c2,plain,
( ~ greater(zero,'growth$urate'(X1,X2))
| environment(X0) ),
inference(clausification,[status(esa)],[mp_growth_rate_relationships_3]) ).
cnf(c4,plain,
( ~ greater(zero,'growth$urate'(X0,X1))
| ~ 'greater$uor$uequal'('growth$urate'(X0,X1),zero) ),
inference(clausification,[status(esa)],[mp_growth_rate_relationships_5]) ).
cnf(c7,plain,
( 'greater$uor$uequal'('growth$urate'(X2,X3),zero)
| ~ outcompetes(X2,X1,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[d2_8]) ).
cnf(c8,plain,
( greater(zero,'growth$urate'(X1,X3))
| ~ outcompetes(X2,X1,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[d2_9]) ).
cnf(c9,plain,
greater(resilience('efficient$uproducers'),resilience('first$umovers')),
inference(clausification,[status(esa)],[a2_10]) ).
cnf(c10,plain,
( greater(zero,'growth$urate'(X1,X3))
| ~ greater(zero,'growth$urate'(X0,X3))
| ~ 'in$uenvironment'(X2,X3)
| ~ environment(X2)
| ~ greater(resilience(X0),resilience(X1)) ),
inference(clausification,[status(esa)],[a13_11]) ).
cnf(c11,plain,
environment(sk1),
inference(clausification,[status(esa)],[prove_t5_12]) ).
cnf(c12,plain,
subpopulations('first$umovers','efficient$uproducers',sk1,sk2),
inference(clausification,[status(esa)],[prove_t5_13]) ).
cnf(c13,plain,
outcompetes('first$umovers','efficient$uproducers',sk2),
inference(clausification,[status(esa)],[prove_t5_14]) ).
cnf(d0,plain,
( 'in$uenvironment'(sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c12,c1]) ).
cnf(d1,plain,
'in$uenvironment'(sk1,sk2),
inference(resolution,[status(thm)],[c11,d0]) ).
cnf(d2,plain,
( subpopulations('efficient$uproducers','first$umovers',sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c12,c0]) ).
cnf(d3,plain,
subpopulations('efficient$uproducers','first$umovers',sk1,sk2),
inference(resolution,[status(thm)],[c11,d2]) ).
cnf(d4,plain,
( ~ outcompetes('first$umovers','efficient$uproducers',sk2)
| greater(zero,'growth$urate'('efficient$uproducers',sk2))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c8,d3]) ).
cnf(d5,plain,
( ~ outcompetes('first$umovers','efficient$uproducers',sk2)
| greater(zero,'growth$urate'('efficient$uproducers',sk2)) ),
inference(resolution,[status(thm)],[c11,d4]) ).
cnf(d6,plain,
greater(zero,'growth$urate'('efficient$uproducers',sk2)),
inference(resolution,[status(thm)],[c13,d5]) ).
cnf(d7,plain,
( ~ greater(zero,'growth$urate'('efficient$uproducers',X1))
| greater(zero,'growth$urate'('first$umovers',X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c10,c9]) ).
cnf(d8,plain,
environment(X0),
inference(resolution,[status(thm)],[d6,c2]) ).
cnf(d9,plain,
( ~ greater(zero,'growth$urate'('efficient$uproducers',X1))
| greater(zero,'growth$urate'('first$umovers',X1))
| ~ 'in$uenvironment'(X0,X1) ),
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
( greater(zero,'growth$urate'('first$umovers',sk2))
| ~ 'in$uenvironment'(X0,sk2) ),
inference(resolution,[status(thm)],[d9,d6]) ).
cnf(d11,plain,
( ~ outcompetes('first$umovers','efficient$uproducers',sk2)
| 'greater$uor$uequal'('growth$urate'('first$umovers',sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c7,d3]) ).
cnf(d12,plain,
( ~ outcompetes('first$umovers','efficient$uproducers',sk2)
| 'greater$uor$uequal'('growth$urate'('first$umovers',sk2),zero) ),
inference(resolution,[status(thm)],[c11,d11]) ).
cnf(d13,plain,
'greater$uor$uequal'('growth$urate'('first$umovers',sk2),zero),
inference(resolution,[status(thm)],[c13,d12]) ).
cnf(d14,plain,
~ greater(zero,'growth$urate'('first$umovers',sk2)),
inference(resolution,[status(thm)],[d13,c4]) ).
cnf(d15,plain,
~ 'in$uenvironment'(X0,sk2),
inference(resolution,[status(thm)],[d14,d10]) ).
cnf(d16,plain,
$false,
inference(resolution,[status(thm)],[d15,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT036-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.39 % Computer : n019.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Sat Sep 26 00:06:40 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.45/7.19 % SZS status Unsatisfiable for theBenchmark.p
% 8.45/7.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------