%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT023-1 : 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 : 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 08:01:03 AM UTC 2026
% Result : Unsatisfiable 15.14s 2.42s
% Output : CNFRefutation 15.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of clauses : 30 ( 9 unt; 10 nHn; 30 RR)
% Number of literals : 113 ( 16 equ; 69 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(d1_17,hypothesis,
( X1 = 'critical$upoint'(X0)
| subpopulations('first$umovers','efficient$uproducers',X0,sk1(X1,X0))
| ~ 'in$uenvironment'(X0,X1)
| greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| ~ environment(X0) ) ).
cnf(d1_18,hypothesis,
( X1 = 'critical$upoint'(X0)
| greater(sk1(X1,X0),X1)
| ~ 'in$uenvironment'(X0,X1)
| greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| ~ environment(X0) ) ).
cnf(d1_19,hypothesis,
( X1 = 'critical$upoint'(X0)
| ~ greater('growth$urate'('efficient$uproducers',sk1(X1,X0)),'growth$urate'('first$umovers',sk1(X1,X0)))
| ~ 'in$uenvironment'(X0,X1)
| greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| ~ environment(X0) ) ).
cnf(l12_20,hypothesis,
( 'in$uenvironment'(X0,sk2(X0))
| ~ stable(X0)
| ~ environment(X0) ) ).
cnf(l12_21,hypothesis,
( ~ greater('growth$urate'('efficient$uproducers',sk2(X0)),'growth$urate'('first$umovers',sk2(X0)))
| ~ stable(X0)
| ~ environment(X0) ) ).
cnf(l12_22,hypothesis,
( greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| ~ greater(X1,sk2(X0))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ stable(X0)
| ~ environment(X0) ) ).
cnf(prove_l5_23,negated_conjecture,
environment(sk3) ).
cnf(prove_l5_24,negated_conjecture,
stable(sk3) ).
cnf(prove_l5_25,negated_conjecture,
~ 'in$uenvironment'(sk3,'critical$upoint'(sk3)) ).
cnf(c0,plain,
( ~ environment(X1)
| subpopulations('first$umovers','efficient$uproducers',X1,sk1(X0,X1))
| ~ 'in$uenvironment'(X1,X0)
| X0 = 'critical$upoint'(X1)
| greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0)) ),
inference(clausification,[status(esa)],[d1_17]) ).
cnf(c1,plain,
( ~ environment(X1)
| X0 = 'critical$upoint'(X1)
| ~ 'in$uenvironment'(X1,X0)
| greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| greater(sk1(X0,X1),X0) ),
inference(clausification,[status(esa)],[d1_18]) ).
cnf(c2,plain,
( ~ 'in$uenvironment'(X1,X0)
| greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| X0 = 'critical$upoint'(X1)
| ~ environment(X1)
| ~ greater('growth$urate'('efficient$uproducers',sk1(X0,X1)),'growth$urate'('first$umovers',sk1(X0,X1))) ),
inference(clausification,[status(esa)],[d1_19]) ).
cnf(c3,plain,
( 'in$uenvironment'(X0,sk2(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[l12_20]) ).
cnf(c4,plain,
( ~ greater('growth$urate'('efficient$uproducers',sk2(X0)),'growth$urate'('first$umovers',sk2(X0)))
| ~ stable(X0)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[l12_21]) ).
cnf(c5,plain,
( ~ stable(X0)
| ~ greater(X1,sk2(X0))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| ~ environment(X0) ),
inference(clausification,[status(esa)],[l12_22]) ).
cnf(c6,plain,
environment(sk3),
inference(clausification,[status(esa)],[prove_l5_23]) ).
cnf(c7,plain,
stable(sk3),
inference(clausification,[status(esa)],[prove_l5_24]) ).
cnf(c8,plain,
~ 'in$uenvironment'(sk3,'critical$upoint'(sk3)),
inference(clausification,[status(esa)],[prove_l5_25]) ).
cnf(d0,plain,
( greater(sk1(sk2(X0),X1),sk2(X0))
| ~ 'in$uenvironment'(X1,sk2(X0))
| ~ environment(X1)
| sk2(X0) = 'critical$upoint'(X1)
| ~ stable(X0)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c4,c1]) ).
cnf(d1,plain,
( greater('growth$urate'('efficient$uproducers',X1),'growth$urate'('first$umovers',X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0)
| X1 = 'critical$upoint'(X0)
| ~ stable(X0)
| greater('growth$urate'('efficient$uproducers',sk1(X1,X0)),'growth$urate'('first$umovers',sk1(X1,X0)))
| ~ greater(sk1(X1,X0),sk2(X0))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(d2,plain,
( greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| ~ 'in$uenvironment'(X1,X0)
| ~ environment(X1)
| X0 = 'critical$upoint'(X1)
| ~ stable(X1)
| ~ greater(sk1(X0,X1),sk2(X1))
| greater('growth$urate'('efficient$uproducers',X0),'growth$urate'('first$umovers',X0))
| ~ 'in$uenvironment'(X1,X0)
| ~ environment(X1)
| X0 = 'critical$upoint'(X1) ),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
( ~ stable(X0)
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ environment(X0)
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0)
| ~ stable(X0)
| greater('growth$urate'('efficient$uproducers',sk2(X0)),'growth$urate'('first$umovers',sk2(X0)))
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( ~ stable(X0)
| ~ environment(X0)
| ~ stable(X0)
| ~ 'in$uenvironment'(X0,sk2(X0))
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(resolution,[status(thm)],[d3,c4]) ).
cnf(d5,plain,
( ~ stable(X0)
| ~ environment(X0)
| ~ stable(X0)
| ~ environment(X0)
| sk2(X0) = 'critical$upoint'(X0) ),
inference(resolution,[status(thm)],[d4,c3]) ).
cnf(d6,plain,
( ~ environment(sk3)
| sk2(sk3) = 'critical$upoint'(sk3) ),
inference(resolution,[status(thm)],[d5,c7]) ).
cnf(d7,plain,
sk2(sk3) = 'critical$upoint'(sk3),
inference(resolution,[status(thm)],[c6,d6]) ).
cnf(d8,plain,
( ~ stable(sk3)
| ~ environment(sk3)
| 'in$uenvironment'(sk3,'critical$upoint'(sk3)) ),
inference(superposition,[status(thm)],[d7,c3]) ).
cnf(d9,plain,
( ~ stable(sk3)
| 'in$uenvironment'(sk3,'critical$upoint'(sk3)) ),
inference(resolution,[status(thm)],[c6,d8]) ).
cnf(d10,plain,
'in$uenvironment'(sk3,'critical$upoint'(sk3)),
inference(resolution,[status(thm)],[c7,d9]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[c8,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT023-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 00:05:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.14/2.42 % SZS status Unsatisfiable for theBenchmark.p
% 15.14/2.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------