%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT032-2 : 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 : n003.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 08:01:16 AM UTC 2026
% Result : Unsatisfiable 7.69s 6.82s
% Output : CNFRefutation 7.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of clauses : 27 ( 6 unt; 0 nHn; 27 RR)
% Number of literals : 74 ( 0 equ; 52 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp1_high_growth_rates_1,axiom,
( 'selection$ufavors'(X2,X1,X3)
| ~ greater('growth$urate'(X2,X3),'growth$urate'(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ) ).
cnf(l1_2,hypothesis,
( 'in$uenvironment'(X0,sk1(X0))
| ~ stable(X0)
| ~ environment(X0) ) ).
cnf(l1_3,hypothesis,
( greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| ~ 'greater$uor$uequal'(X1,sk1(X0))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ stable(X0)
| ~ environment(X0) ) ).
cnf(prove_t1_4,negated_conjecture,
environment(sk2) ).
cnf(prove_t1_5,negated_conjecture,
stable(sk2) ).
cnf(prove_t1_6,negated_conjecture,
( subpopulations('first$umovers','efficient$uproducers',sk2,sk3(X0))
| ~ 'in$uenvironment'(sk2,X0) ) ).
cnf(prove_t1_7,negated_conjecture,
( 'greater$uor$uequal'(sk3(X0),X0)
| ~ 'in$uenvironment'(sk2,X0) ) ).
cnf(prove_t1_8,negated_conjecture,
( ~ 'selection$ufavors'('efficient$uproducers','first$umovers',sk3(X0))
| ~ 'in$uenvironment'(sk2,X0) ) ).
cnf(c0,plain,
( 'selection$ufavors'(X2,X1,X3)
| ~ greater('growth$urate'(X2,X3),'growth$urate'(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp1_high_growth_rates_1]) ).
cnf(c1,plain,
( 'in$uenvironment'(X0,sk1(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[l1_2]) ).
cnf(c2,plain,
( ~ 'greater$uor$uequal'(X0,sk1(X1))
| ~ stable(X1)
| ~ subpopulations('first$umovers','efficient$uproducers',X1,X0)
| ~ environment(X1)
| greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0)) ),
inference(clausification,[status(esa)],[l1_3]) ).
cnf(c3,plain,
environment(sk2),
inference(clausification,[status(esa)],[prove_t1_4]) ).
cnf(c4,plain,
stable(sk2),
inference(clausification,[status(esa)],[prove_t1_5]) ).
cnf(c5,plain,
( subpopulations('first$umovers','efficient$uproducers',sk2,sk3(X0))
| ~ 'in$uenvironment'(sk2,X0) ),
inference(clausification,[status(esa)],[prove_t1_6]) ).
cnf(c6,plain,
( 'greater$uor$uequal'(sk3(X0),X0)
| ~ 'in$uenvironment'(sk2,X0) ),
inference(clausification,[status(esa)],[prove_t1_7]) ).
cnf(c7,plain,
( ~ 'selection$ufavors'('efficient$uproducers','first$umovers',sk3(X0))
| ~ 'in$uenvironment'(sk2,X0) ),
inference(clausification,[status(esa)],[prove_t1_8]) ).
cnf(d0,plain,
( ~ 'greater$uor$uequal'(sk3(X0),sk1(sk2))
| ~ stable(sk2)
| ~ environment(sk2)
| greater('growth$urate'('efficient$uproducers',sk3(X0)),'growth$urate'('first$umovers',sk3(X0)))
| ~ 'in$uenvironment'(sk2,X0) ),
inference(resolution,[status(thm)],[c5,c2]) ).
cnf(d1,plain,
( ~ 'greater$uor$uequal'(sk3(X0),sk1(sk2))
| ~ 'in$uenvironment'(sk2,X0)
| ~ stable(sk2)
| greater('growth$urate'('efficient$uproducers',sk3(X0)),'growth$urate'('first$umovers',sk3(X0))) ),
inference(resolution,[status(thm)],[c3,d0]) ).
cnf(d2,plain,
( ~ 'greater$uor$uequal'(sk3(X0),sk1(sk2))
| ~ 'in$uenvironment'(sk2,X0)
| greater('growth$urate'('efficient$uproducers',sk3(X0)),'growth$urate'('first$umovers',sk3(X0))) ),
inference(resolution,[status(thm)],[c4,d1]) ).
cnf(d3,plain,
( 'selection$ufavors'('efficient$uproducers','first$umovers',sk3(X0))
| ~ subpopulations('first$umovers','efficient$uproducers',X1,sk3(X0))
| ~ environment(X1)
| ~ 'greater$uor$uequal'(sk3(X0),sk1(sk2))
| ~ 'in$uenvironment'(sk2,X0) ),
inference(resolution,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
( ~ 'in$uenvironment'(sk2,X0)
| ~ 'greater$uor$uequal'(sk3(X0),sk1(sk2))
| ~ 'in$uenvironment'(sk2,X0)
| 'selection$ufavors'('efficient$uproducers','first$umovers',sk3(X0))
| ~ environment(sk2) ),
inference(resolution,[status(thm)],[d3,c5]) ).
cnf(d5,plain,
( ~ 'greater$uor$uequal'(sk3(X0),sk1(sk2))
| ~ 'in$uenvironment'(sk2,X0)
| 'selection$ufavors'('efficient$uproducers','first$umovers',sk3(X0)) ),
inference(resolution,[status(thm)],[c3,d4]) ).
cnf(d6,plain,
( ~ 'in$uenvironment'(sk2,sk1(sk2))
| ~ 'in$uenvironment'(sk2,sk1(sk2))
| 'selection$ufavors'('efficient$uproducers','first$umovers',sk3(sk1(sk2))) ),
inference(resolution,[status(thm)],[d5,c6]) ).
cnf(d7,plain,
( ~ 'in$uenvironment'(sk2,sk1(sk2))
| ~ 'in$uenvironment'(sk2,sk1(sk2)) ),
inference(resolution,[status(thm)],[d6,c7]) ).
cnf(d8,plain,
( ~ stable(sk2)
| ~ environment(sk2) ),
inference(resolution,[status(thm)],[d7,c1]) ).
cnf(d9,plain,
~ stable(sk2),
inference(resolution,[status(thm)],[c3,d8]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[c4,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT032-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.54 % Computer : n003.cluster.edu
% 0.10/5.54 % Model : x86_64 x86_64
% 0.10/5.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.54 % Memory : 8046.5625MB
% 0.10/5.54 % OS : Linux 6.8.0-71-generic
% 0.10/5.54 % CPULimit : 300
% 0.10/5.54 % WCLimit : 300
% 0.10/5.54 % DateTime : Sat Sep 26 00:06:58 UTC 2026
% 0.10/5.54 % CPUTime :
% 0.10/5.54 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.69/6.82 % SZS status Unsatisfiable for theBenchmark.p
% 7.69/6.82 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------