%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT036+2 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 08:01:17 AM UTC 2026
% Result : Theorem 8.63s 2.65s
% Output : CNFRefutation 8.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 13 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 88 ( 39 ~; 30 |; 10 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 52 ( 7 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp_symmetry_of_subpopulations,axiom,
! [X0,X1,X2,X3] :
( ( subpopulations(X1,X2,X0,X3)
& environment(X0) )
=> subpopulations(X2,X1,X0,X3) ) ).
fof(mp_time_point_occur,axiom,
! [X0,X1] :
( ( subpopulations('first$umovers','efficient$uproducers',X0,X1)
& environment(X0) )
=> 'in$uenvironment'(X0,X1) ) ).
fof(mp_growth_rate_relationships,axiom,
! [X0,X1,X2,X3] :
( ( ( subpopulations(X1,X2,X0,X3)
& environment(X0) )
=> 'greater$uor$uequal'('growth$urate'(X1,X3),zero) )
<=> ~ greater(zero,'growth$urate'(X1,X3)) ) ).
fof(d2,hypothesis,
! [X0,X1,X2,X3] :
( ( subpopulations(X1,X2,X0,X3)
& environment(X0) )
=> ( ( greater(zero,'growth$urate'(X1,X3))
& 'greater$uor$uequal'('growth$urate'(X2,X3),zero) )
<=> outcompetes(X2,X1,X3) ) ) ).
fof(a2,hypothesis,
greater(resilience('efficient$uproducers'),resilience('first$umovers')) ).
fof(a13,hypothesis,
! [X0,X1,X2,X3] :
( ( greater(resilience(X2),resilience(X1))
& ~ greater(zero,'growth$urate'(X1,X3))
& 'in$uenvironment'(X0,X3)
& environment(X0) )
=> ~ greater(zero,'growth$urate'(X2,X3)) ) ).
fof(prove_t5,conjecture,
! [X0,X1] :
( ( subpopulations('first$umovers','efficient$uproducers',X0,X1)
& environment(X0) )
=> ~ outcompetes('first$umovers','efficient$uproducers',X1) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ( subpopulations('first$umovers','efficient$uproducers',X0,X1)
& environment(X0) )
=> ~ outcompetes('first$umovers','efficient$uproducers',X1) ),
inference(negate_conjecture,[status(cth)],[prove_t5]) ).
cnf(c0,plain,
( subpopulations(X2,X1,X0,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_symmetry_of_subpopulations]) ).
cnf(c1,plain,
( 'in$uenvironment'(X0,X1)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_time_point_occur]) ).
cnf(c2,plain,
( ~ greater(zero,'growth$urate'(X1,X2))
| environment(X0) ),
inference(clausification,[status(esa)],[mp_growth_rate_relationships]) ).
cnf(c4,plain,
( ~ greater(zero,'growth$urate'(X0,X1))
| ~ 'greater$uor$uequal'('growth$urate'(X0,X1),zero) ),
inference(clausification,[status(esa)],[mp_growth_rate_relationships]) ).
cnf(c7,plain,
( ~ outcompetes(X2,X1,X3)
| 'greater$uor$uequal'('growth$urate'(X2,X3),zero)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[d2]) ).
cnf(c8,plain,
( ~ outcompetes(X2,X1,X3)
| greater(zero,'growth$urate'(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[d2]) ).
cnf(c9,plain,
greater(resilience('efficient$uproducers'),resilience('first$umovers')),
inference(clausification,[status(esa)],[a2]) ).
cnf(c10,plain,
( ~ greater(zero,'growth$urate'(X3,X2))
| ~ greater(resilience(X3),resilience(X1))
| ~ 'in$uenvironment'(X0,X2)
| greater(zero,'growth$urate'(X1,X2))
| ~ environment(X0) ),
inference(clausification,[status(esa)],[a13]) ).
cnf(c11,plain,
environment(sK18),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c12,plain,
subpopulations('first$umovers','efficient$uproducers',sK18,sK19),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c13,plain,
outcompetes('first$umovers','efficient$uproducers',sK19),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d_0,plain,
( 'in$uenvironment'(sK18,sK19)
| ~ environment(sK18) ),
inference(resolution,[status(thm)],[c12,c1]) ).
cnf(d_1,plain,
'in$uenvironment'(sK18,sK19),
inference(resolution,[status(thm)],[c11,d_0]) ).
cnf(d_2,plain,
( subpopulations('efficient$uproducers','first$umovers',sK18,sK19)
| ~ environment(sK18) ),
inference(resolution,[status(thm)],[c12,c0]) ).
cnf(d_3,plain,
subpopulations('efficient$uproducers','first$umovers',sK18,sK19),
inference(resolution,[status(thm)],[c11,d_2]) ).
cnf(d_4,plain,
( ~ outcompetes('first$umovers','efficient$uproducers',sK19)
| greater(zero,'growth$urate'('efficient$uproducers',sK19))
| ~ environment(sK18) ),
inference(resolution,[status(thm)],[c8,d_3]) ).
cnf(d_5,plain,
( ~ outcompetes('first$umovers','efficient$uproducers',sK19)
| greater(zero,'growth$urate'('efficient$uproducers',sK19)) ),
inference(resolution,[status(thm)],[c11,d_4]) ).
cnf(d_6,plain,
greater(zero,'growth$urate'('efficient$uproducers',sK19)),
inference(resolution,[status(thm)],[c13,d_5]) ).
cnf(d_7,plain,
( ~ greater(zero,'growth$urate'('efficient$uproducers',X1))
| greater(zero,'growth$urate'('first$umovers',X1))
| ~ 'in$uenvironment'(X0,X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c10,c9]) ).
cnf(d_8,plain,
environment(X0),
inference(resolution,[status(thm)],[d_6,c2]) ).
cnf(d_9,plain,
( ~ greater(zero,'growth$urate'('efficient$uproducers',X1))
| greater(zero,'growth$urate'('first$umovers',X1))
| ~ 'in$uenvironment'(X0,X1) ),
inference(resolution,[status(thm)],[d_8,d_7]) ).
cnf(d_10,plain,
( greater(zero,'growth$urate'('first$umovers',sK19))
| ~ 'in$uenvironment'(X0,sK19) ),
inference(resolution,[status(thm)],[d_9,d_6]) ).
cnf(d_11,plain,
( ~ outcompetes('first$umovers','efficient$uproducers',sK19)
| 'greater$uor$uequal'('growth$urate'('first$umovers',sK19),zero)
| ~ environment(sK18) ),
inference(resolution,[status(thm)],[c7,d_3]) ).
cnf(d_12,plain,
( ~ outcompetes('first$umovers','efficient$uproducers',sK19)
| 'greater$uor$uequal'('growth$urate'('first$umovers',sK19),zero) ),
inference(resolution,[status(thm)],[c11,d_11]) ).
cnf(d_13,plain,
'greater$uor$uequal'('growth$urate'('first$umovers',sK19),zero),
inference(resolution,[status(thm)],[c13,d_12]) ).
cnf(d_14,plain,
~ greater(zero,'growth$urate'('first$umovers',sK19)),
inference(resolution,[status(thm)],[d_13,c4]) ).
cnf(d_15,plain,
~ 'in$uenvironment'(X0,sK19),
inference(resolution,[status(thm)],[d_14,d_10]) ).
cnf(d_16,plain,
$false,
inference(resolution,[status(thm)],[d_15,d_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT036+2 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n007.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sat Sep 26 00:04:24 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.63/2.65 % SZS status Theorem for theBenchmark.p
% 8.63/2.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------