%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT022+2 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 : Theorem 5.79s 7.82s
% Output : CNFRefutation 5.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 77 ( 32 ~; 28 |; 7 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 22 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp_constant_not_decrease,axiom,
! [X0] :
( constant(X0)
=> ~ decreases(X0) ) ).
fof(a6,hypothesis,
! [X0,X1,X2,X3] :
( ( greater(resilience(X2),resilience(X1))
& subpopulations(X1,X2,X0,X3)
& environment(X0) )
=> ( ( constant(resources(X0,X3))
=> constant(difference('disbanding$urate'(X1,X3),'disbanding$urate'(X2,X3))) )
& ( decreases(resources(X0,X3))
=> increases(difference('disbanding$urate'(X1,X3),'disbanding$urate'(X2,X3))) ) ) ) ).
fof(a2,hypothesis,
greater(resilience('efficient$uproducers'),resilience('first$umovers')) ).
fof(prove_l4,conjecture,
! [X0,X1] :
( ( subpopulations('first$umovers','efficient$uproducers',X0,X1)
& environment(X0) )
=> ( ( constant(resources(X0,X1))
=> ~ decreases(difference('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1))) )
& ( decreases(resources(X0,X1))
=> increases(difference('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1))) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ( subpopulations('first$umovers','efficient$uproducers',X0,X1)
& environment(X0) )
=> ( ( constant(resources(X0,X1))
=> ~ decreases(difference('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1))) )
& ( decreases(resources(X0,X1))
=> increases(difference('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1))) ) ) ),
inference(negate_conjecture,[status(cth)],[prove_l4]) ).
cnf(c0,plain,
( ~ decreases(X0)
| ~ constant(X0) ),
inference(clausification,[status(esa)],[mp_constant_not_decrease]) ).
cnf(c1,plain,
( ~ subpopulations(X1,X0,X2,X3)
| increases(difference('disbanding$urate'(X1,X3),'disbanding$urate'(X0,X3)))
| ~ environment(X2)
| ~ decreases(resources(X2,X3))
| ~ greater(resilience(X0),resilience(X1)) ),
inference(clausification,[status(esa)],[a6]) ).
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]) ).
cnf(c3,plain,
greater(resilience('efficient$uproducers'),resilience('first$umovers')),
inference(clausification,[status(esa)],[a2]) ).
cnf(c4,plain,
environment(sK5),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c5,plain,
subpopulations('first$umovers','efficient$uproducers',sK5,sK6),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c6,plain,
( constant(resources(sK5,sK6))
| decreases(resources(sK5,sK6)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c7,plain,
( decreases(difference('disbanding$urate'('first$umovers',sK6),'disbanding$urate'('efficient$uproducers',sK6)))
| decreases(resources(sK5,sK6)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c8,plain,
( constant(resources(sK5,sK6))
| ~ increases(difference('disbanding$urate'('first$umovers',sK6),'disbanding$urate'('efficient$uproducers',sK6))) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( increases(difference('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1)))
| ~ environment(X0)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ decreases(resources(X0,X1)) ),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(d1,plain,
( increases(difference('disbanding$urate'('first$umovers',sK6),'disbanding$urate'('efficient$uproducers',sK6)))
| ~ environment(sK5)
| ~ decreases(resources(sK5,sK6)) ),
inference(resolution,[status(thm)],[d0,c5]) ).
cnf(d2,plain,
( increases(difference('disbanding$urate'('first$umovers',sK6),'disbanding$urate'('efficient$uproducers',sK6)))
| ~ decreases(resources(sK5,sK6)) ),
inference(resolution,[status(thm)],[c4,d1]) ).
cnf(d3,plain,
( constant(resources(sK5,sK6))
| ~ decreases(resources(sK5,sK6)) ),
inference(resolution,[status(thm)],[d2,c8]) ).
cnf(d4,plain,
( ~ environment(X0)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| constant(difference('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1)))
| ~ constant(resources(X0,X1)) ),
inference(resolution,[status(thm)],[c3,c2]) ).
cnf(d5,plain,
( ~ environment(sK5)
| constant(difference('disbanding$urate'('first$umovers',sK6),'disbanding$urate'('efficient$uproducers',sK6)))
| ~ constant(resources(sK5,sK6)) ),
inference(resolution,[status(thm)],[d4,c5]) ).
cnf(d6,plain,
( constant(difference('disbanding$urate'('first$umovers',sK6),'disbanding$urate'('efficient$uproducers',sK6)))
| ~ constant(resources(sK5,sK6)) ),
inference(resolution,[status(thm)],[c4,d5]) ).
cnf(d7,plain,
( ~ decreases(difference('disbanding$urate'('first$umovers',sK6),'disbanding$urate'('efficient$uproducers',sK6)))
| ~ constant(resources(sK5,sK6)) ),
inference(resolution,[status(thm)],[d6,c0]) ).
cnf(d8,plain,
( decreases(resources(sK5,sK6))
| ~ constant(resources(sK5,sK6)) ),
inference(resolution,[status(thm)],[d7,c7]) ).
cnf(d9,plain,
( decreases(resources(sK5,sK6))
| decreases(resources(sK5,sK6)) ),
inference(resolution,[status(thm)],[d8,c6]) ).
cnf(d10,plain,
constant(resources(sK5,sK6)),
inference(resolution,[status(thm)],[d9,d3]) ).
cnf(d11,plain,
~ decreases(resources(sK5,sK6)),
inference(resolution,[status(thm)],[d10,c0]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d9,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : MGT022+2 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.42 % Computer : n001.cluster.edu
% 0.16/5.42 % Model : x86_64 x86_64
% 0.16/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.42 % Memory : 8046.5625MB
% 0.16/5.42 % OS : Linux 6.8.0-71-generic
% 0.16/5.42 % CPULimit : 300
% 0.16/5.42 % WCLimit : 300
% 0.16/5.42 % DateTime : Sat Sep 26 00:10:01 UTC 2026
% 0.16/5.43 % CPUTime :
% 0.16/5.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.79/7.82 % SZS status Theorem for theBenchmark.p
% 5.79/7.82 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------