%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT036-3 : 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 : 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 08:01:18 AM UTC 2026
% Result : Unsatisfiable 8.35s 1.81s
% Output : CNFRefutation 8.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 23 ( 12 unt; 0 nHn; 23 RR)
% Number of literals : 47 ( 0 equ; 30 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_symmetry_of_subpopulations_1,axiom,
( subpopulations(X2,X1,X0,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ) ).
cnf(d2_2,hypothesis,
( outcompetes(X2,X1,X3)
| ~ greater(zero,'growth$urate'(X1,X3))
| ~ 'greater$uor$uequal'('growth$urate'(X2,X3),zero)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ) ).
cnf(a13_star_5,hypothesis,
environment(sk1) ).
cnf(a13_star_6,hypothesis,
subpopulations('first$umovers','efficient$uproducers',sk1,sk2) ).
cnf(a13_star_7,hypothesis,
'greater$uor$uequal'('growth$urate'('first$umovers',sk2),zero) ).
cnf(a13_star_8,hypothesis,
greater(zero,'growth$urate'('efficient$uproducers',sk2)) ).
cnf(prove_t5_star_9,negated_conjecture,
( ~ outcompetes('first$umovers','efficient$uproducers',X1)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ) ).
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,
( ~ greater(zero,'growth$urate'(X0,X3))
| ~ environment(X2)
| outcompetes(X1,X0,X3)
| ~ 'greater$uor$uequal'('growth$urate'(X1,X3),zero)
| ~ subpopulations(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[d2_2]) ).
cnf(c4,plain,
environment(sk1),
inference(clausification,[status(esa)],[a13_star_5]) ).
cnf(c5,plain,
subpopulations('first$umovers','efficient$uproducers',sk1,sk2),
inference(clausification,[status(esa)],[a13_star_6]) ).
cnf(c6,plain,
'greater$uor$uequal'('growth$urate'('first$umovers',sk2),zero),
inference(clausification,[status(esa)],[a13_star_7]) ).
cnf(c7,plain,
greater(zero,'growth$urate'('efficient$uproducers',sk2)),
inference(clausification,[status(esa)],[a13_star_8]) ).
cnf(c8,plain,
( ~ outcompetes('first$umovers','efficient$uproducers',X1)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[prove_t5_star_9]) ).
cnf(d0,plain,
( subpopulations('efficient$uproducers','first$umovers',sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(d1,plain,
subpopulations('efficient$uproducers','first$umovers',sk1,sk2),
inference(resolution,[status(thm)],[c4,d0]) ).
cnf(d2,plain,
( outcompetes('first$umovers',X1,sk2)
| ~ greater(zero,'growth$urate'(X1,sk2))
| ~ subpopulations(X1,'first$umovers',X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c6,c1]) ).
cnf(d3,plain,
( outcompetes('first$umovers','efficient$uproducers',sk2)
| ~ subpopulations('efficient$uproducers','first$umovers',X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d2,c7]) ).
cnf(d4,plain,
( ~ outcompetes('first$umovers','efficient$uproducers',sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c8,c5]) ).
cnf(d5,plain,
~ outcompetes('first$umovers','efficient$uproducers',sk2),
inference(resolution,[status(thm)],[c4,d4]) ).
cnf(d6,plain,
( ~ subpopulations('efficient$uproducers','first$umovers',X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
~ environment(sk1),
inference(resolution,[status(thm)],[d6,d1]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c4,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT036-3 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 00:07:36 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.35/1.81 % SZS status Unsatisfiable for theBenchmark.p
% 8.35/1.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------