%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT022-2 : 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 : n026.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 4.26s 2.41s
% Output : CNFRefutation 4.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 31 ( 9 unt; 5 nHn; 31 RR)
% Number of literals : 71 ( 0 equ; 39 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_constant_not_decrease_1,axiom,
( ~ decreases(X0)
| ~ constant(X0) ) ).
cnf(a6_2,hypothesis,
( increases(difference('disbanding$urate'(X1,X3),'disbanding$urate'(X2,X3)))
| ~ decreases(resources(X0,X3))
| ~ greater(resilience(X2),resilience(X1))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ) ).
cnf(a6_3,hypothesis,
( constant(difference('disbanding$urate'(X1,X3),'disbanding$urate'(X2,X3)))
| ~ constant(resources(X0,X3))
| ~ greater(resilience(X2),resilience(X1))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ) ).
cnf(a2_4,hypothesis,
greater(resilience('efficient$uproducers'),resilience('first$umovers')) ).
cnf(prove_l4_5,negated_conjecture,
environment(sk1) ).
cnf(prove_l4_6,negated_conjecture,
subpopulations('first$umovers','efficient$uproducers',sk1,sk2) ).
cnf(prove_l4_7,negated_conjecture,
( constant(resources(sk1,sk2))
| decreases(resources(sk1,sk2)) ) ).
cnf(prove_l4_8,negated_conjecture,
( decreases(difference('disbanding$urate'('first$umovers',sk2),'disbanding$urate'('efficient$uproducers',sk2)))
| decreases(resources(sk1,sk2)) ) ).
cnf(prove_l4_9,negated_conjecture,
( constant(resources(sk1,sk2))
| ~ increases(difference('disbanding$urate'('first$umovers',sk2),'disbanding$urate'('efficient$uproducers',sk2))) ) ).
cnf(c0,plain,
( ~ decreases(X0)
| ~ constant(X0) ),
inference(clausification,[status(esa)],[mp_constant_not_decrease_1]) ).
cnf(c1,plain,
( increases(difference('disbanding$urate'(X1,X3),'disbanding$urate'(X2,X3)))
| ~ greater(resilience(X2),resilience(X1))
| ~ decreases(resources(X0,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[a6_2]) ).
cnf(c2,plain,
( ~ constant(resources(X3,X2))
| ~ subpopulations(X1,X0,X3,X2)
| ~ environment(X3)
| constant(difference('disbanding$urate'(X1,X2),'disbanding$urate'(X0,X2)))
| ~ greater(resilience(X0),resilience(X1)) ),
inference(clausification,[status(esa)],[a6_3]) ).
cnf(c3,plain,
greater(resilience('efficient$uproducers'),resilience('first$umovers')),
inference(clausification,[status(esa)],[a2_4]) ).
cnf(c4,plain,
environment(sk1),
inference(clausification,[status(esa)],[prove_l4_5]) ).
cnf(c5,plain,
subpopulations('first$umovers','efficient$uproducers',sk1,sk2),
inference(clausification,[status(esa)],[prove_l4_6]) ).
cnf(c6,plain,
( constant(resources(sk1,sk2))
| decreases(resources(sk1,sk2)) ),
inference(clausification,[status(esa)],[prove_l4_7]) ).
cnf(c7,plain,
( decreases(difference('disbanding$urate'('first$umovers',sk2),'disbanding$urate'('efficient$uproducers',sk2)))
| decreases(resources(sk1,sk2)) ),
inference(clausification,[status(esa)],[prove_l4_8]) ).
cnf(c8,plain,
( constant(resources(sk1,sk2))
| ~ increases(difference('disbanding$urate'('first$umovers',sk2),'disbanding$urate'('efficient$uproducers',sk2))) ),
inference(clausification,[status(esa)],[prove_l4_9]) ).
cnf(d0,plain,
( increases(difference('disbanding$urate'('first$umovers',sk2),'disbanding$urate'('efficient$uproducers',sk2)))
| ~ environment(sk1)
| ~ greater(resilience('efficient$uproducers'),resilience('first$umovers'))
| ~ decreases(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[c5,c1]) ).
cnf(d1,plain,
( increases(difference('disbanding$urate'('first$umovers',sk2),'disbanding$urate'('efficient$uproducers',sk2)))
| ~ greater(resilience('efficient$uproducers'),resilience('first$umovers'))
| ~ decreases(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[c4,d0]) ).
cnf(d2,plain,
( increases(difference('disbanding$urate'('first$umovers',sk2),'disbanding$urate'('efficient$uproducers',sk2)))
| ~ decreases(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[c3,d1]) ).
cnf(d3,plain,
( constant(resources(sk1,sk2))
| ~ decreases(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[d2,c8]) ).
cnf(d4,plain,
( ~ environment(sk1)
| ~ greater(resilience('efficient$uproducers'),resilience('first$umovers'))
| constant(difference('disbanding$urate'('first$umovers',sk2),'disbanding$urate'('efficient$uproducers',sk2)))
| ~ constant(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[c2,c5]) ).
cnf(d5,plain,
( ~ greater(resilience('efficient$uproducers'),resilience('first$umovers'))
| constant(difference('disbanding$urate'('first$umovers',sk2),'disbanding$urate'('efficient$uproducers',sk2)))
| ~ constant(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[c4,d4]) ).
cnf(d6,plain,
( constant(difference('disbanding$urate'('first$umovers',sk2),'disbanding$urate'('efficient$uproducers',sk2)))
| ~ constant(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[c3,d5]) ).
cnf(d7,plain,
( ~ decreases(difference('disbanding$urate'('first$umovers',sk2),'disbanding$urate'('efficient$uproducers',sk2)))
| ~ constant(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[d6,c0]) ).
cnf(d8,plain,
( decreases(resources(sk1,sk2))
| ~ constant(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[d7,c7]) ).
cnf(d9,plain,
( decreases(resources(sk1,sk2))
| decreases(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[d8,c6]) ).
cnf(d10,plain,
constant(resources(sk1,sk2)),
inference(resolution,[status(thm)],[d9,d3]) ).
cnf(d11,plain,
~ decreases(resources(sk1,sk2)),
inference(resolution,[status(thm)],[d10,c0]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d9,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT022-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n026.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 26 00:07:26 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.26/2.41 % SZS status Unsatisfiable for theBenchmark.p
% 4.26/2.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------