%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT020-1 : 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 08:01:02 AM UTC 2026
% Result : Unsatisfiable 11.96s 1.92s
% Output : CNFRefutation 11.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of clauses : 46 ( 12 unt; 11 nHn; 46 RR)
% Number of literals : 138 ( 7 equ; 90 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(l3_22,axiom,
( ~ decreases(difference('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1)))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ) ).
cnf(mp_earliest_time_point_23,axiom,
( subpopulations('first$umovers','efficient$uproducers',X0,'initial$uFM$uEP'(X0))
| ~ 'in$uenvironment'(X0,'initial$uFM$uEP'(X0))
| ~ environment(X0) ) ).
cnf(mp_earliest_time_point_24,axiom,
( 'greater$uor$uequal'(X1,'initial$uFM$uEP'(X0))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ) ).
cnf(mp_positive_function_difference_25,axiom,
( greater('disbanding$urate'('first$umovers',X3),'disbanding$urate'('efficient$uproducers',X3))
| decreases(difference('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1)))
| ~ greater('disbanding$urate'('first$umovers',X2),'disbanding$urate'('efficient$uproducers',X2))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X3)
| ~ 'greater$uor$uequal'(X3,X1)
| ~ 'greater$uor$uequal'(X1,X2)
| ~ environment(X0) ) ).
cnf(mp_time_point_occurs_26,axiom,
( 'in$uenvironment'(X0,X1)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ) ).
cnf(mp_initial_time_27,axiom,
( 'greater$uor$uequal'('initial$uFM$uEP'(X0),'start$utime'(X0))
| ~ environment(X0) ) ).
cnf(mp_times_in_order_28,axiom,
( 'in$uenvironment'(X0,X1)
| ~ 'in$uenvironment'(X0,X2)
| ~ greater(X2,X1)
| ~ 'greater$uor$uequal'(X1,'start$utime'(X0))
| ~ environment(X0) ) ).
cnf(mp_greater_or_equal_30,axiom,
( X0 = X1
| greater(X0,X1)
| ~ 'greater$uor$uequal'(X0,X1) ) ).
cnf(a8_31,hypothesis,
( greater('disbanding$urate'('first$umovers','initial$uFM$uEP'(X0)),'disbanding$urate'('efficient$uproducers','initial$uFM$uEP'(X0)))
| ~ environment(X0) ) ).
cnf(prove_l2_33,negated_conjecture,
environment(sk1) ).
cnf(prove_l2_34,negated_conjecture,
subpopulations('first$umovers','efficient$uproducers',sk1,sk2) ).
cnf(prove_l2_35,negated_conjecture,
~ greater('disbanding$urate'('first$umovers',sk2),'disbanding$urate'('efficient$uproducers',sk2)) ).
cnf(c0,plain,
( ~ decreases(difference('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1)))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[l3_22]) ).
cnf(c1,plain,
( subpopulations('first$umovers','efficient$uproducers',X0,'initial$uFM$uEP'(X0))
| ~ 'in$uenvironment'(X0,'initial$uFM$uEP'(X0))
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_earliest_time_point_23]) ).
cnf(c2,plain,
( 'greater$uor$uequal'(X1,'initial$uFM$uEP'(X0))
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_earliest_time_point_24]) ).
cnf(c3,plain,
( ~ environment(X2)
| ~ greater('disbanding$urate'('first$umovers',X3),'disbanding$urate'('efficient$uproducers',X3))
| ~ 'greater$uor$uequal'(X0,X3)
| greater('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1))
| ~ subpopulations('first$umovers','efficient$uproducers',X2,X1)
| ~ 'greater$uor$uequal'(X1,X0)
| decreases(difference('disbanding$urate'('first$umovers',X0),'disbanding$urate'('efficient$uproducers',X0))) ),
inference(clausification,[status(esa)],[mp_positive_function_difference_25]) ).
cnf(c4,plain,
( 'in$uenvironment'(X0,X1)
| ~ subpopulations('first$umovers','efficient$uproducers',X0,X1)
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_time_point_occurs_26]) ).
cnf(c5,plain,
( 'greater$uor$uequal'('initial$uFM$uEP'(X0),'start$utime'(X0))
| ~ environment(X0) ),
inference(clausification,[status(esa)],[mp_initial_time_27]) ).
cnf(c6,plain,
( 'in$uenvironment'(X0,X2)
| ~ 'greater$uor$uequal'(X2,'start$utime'(X0))
| ~ greater(X1,X2)
| ~ environment(X0)
| ~ 'in$uenvironment'(X0,X1) ),
inference(clausification,[status(esa)],[mp_times_in_order_28]) ).
cnf(c8,plain,
( X0 = X1
| greater(X0,X1)
| ~ 'greater$uor$uequal'(X0,X1) ),
inference(clausification,[status(esa)],[mp_greater_or_equal_30]) ).
cnf(c9,plain,
( greater('disbanding$urate'('first$umovers','initial$uFM$uEP'(X0)),'disbanding$urate'('efficient$uproducers','initial$uFM$uEP'(X0)))
| ~ environment(X0) ),
inference(clausification,[status(esa)],[a8_31]) ).
cnf(c11,plain,
environment(sk1),
inference(clausification,[status(esa)],[prove_l2_33]) ).
cnf(c12,plain,
subpopulations('first$umovers','efficient$uproducers',sk1,sk2),
inference(clausification,[status(esa)],[prove_l2_34]) ).
cnf(c13,plain,
~ greater('disbanding$urate'('first$umovers',sk2),'disbanding$urate'('efficient$uproducers',sk2)),
inference(clausification,[status(esa)],[prove_l2_35]) ).
cnf(d0,plain,
( 'greater$uor$uequal'(sk2,'initial$uFM$uEP'(sk1))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c2,c12]) ).
cnf(d1,plain,
'greater$uor$uequal'(sk2,'initial$uFM$uEP'(sk1)),
inference(resolution,[status(thm)],[c11,d0]) ).
cnf(d2,plain,
( greater(sk2,'initial$uFM$uEP'(sk1))
| sk2 = 'initial$uFM$uEP'(sk1) ),
inference(resolution,[status(thm)],[c8,d1]) ).
cnf(d3,plain,
( ~ environment(X0)
| ~ greater(X1,'initial$uFM$uEP'(X0))
| ~ 'in$uenvironment'(X0,X1)
| 'in$uenvironment'(X0,'initial$uFM$uEP'(X0))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c6,c5]) ).
cnf(d4,plain,
( sk2 = 'initial$uFM$uEP'(sk1)
| 'in$uenvironment'(sk1,'initial$uFM$uEP'(sk1))
| ~ 'in$uenvironment'(sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( ~ 'in$uenvironment'(sk1,sk2)
| 'in$uenvironment'(sk1,'initial$uFM$uEP'(sk1))
| sk2 = 'initial$uFM$uEP'(sk1) ),
inference(resolution,[status(thm)],[c11,d4]) ).
cnf(d6,plain,
( 'in$uenvironment'(sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c4,c12]) ).
cnf(d7,plain,
'in$uenvironment'(sk1,sk2),
inference(resolution,[status(thm)],[c11,d6]) ).
cnf(d8,plain,
( 'in$uenvironment'(sk1,'initial$uFM$uEP'(sk1))
| sk2 = 'initial$uFM$uEP'(sk1) ),
inference(resolution,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
( ~ 'in$uenvironment'(X0,'initial$uFM$uEP'(X0))
| ~ environment(X0)
| 'greater$uor$uequal'('initial$uFM$uEP'(X0),'initial$uFM$uEP'(X0))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(d10,plain,
( greater('disbanding$urate'('first$umovers',X2),'disbanding$urate'('efficient$uproducers',X2))
| ~ 'greater$uor$uequal'(X2,X3)
| ~ 'greater$uor$uequal'(X3,'initial$uFM$uEP'(X0))
| decreases(difference('disbanding$urate'('first$umovers',X3),'disbanding$urate'('efficient$uproducers',X3)))
| ~ environment(X1)
| ~ subpopulations('first$umovers','efficient$uproducers',X1,X2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c9,c3]) ).
cnf(d11,plain,
( greater('disbanding$urate'('first$umovers',sk2),'disbanding$urate'('efficient$uproducers',sk2))
| ~ 'greater$uor$uequal'(sk2,X1)
| ~ 'greater$uor$uequal'(X1,'initial$uFM$uEP'(X0))
| decreases(difference('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1)))
| ~ environment(X0)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[d10,c12]) ).
cnf(d12,plain,
( greater('disbanding$urate'('first$umovers',sk2),'disbanding$urate'('efficient$uproducers',sk2))
| ~ 'greater$uor$uequal'(sk2,X1)
| ~ 'greater$uor$uequal'(X1,'initial$uFM$uEP'(X0))
| decreases(difference('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1)))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c11,d11]) ).
cnf(d13,plain,
( ~ 'greater$uor$uequal'(sk2,X1)
| ~ 'greater$uor$uequal'(X1,'initial$uFM$uEP'(X0))
| decreases(difference('disbanding$urate'('first$umovers',X1),'disbanding$urate'('efficient$uproducers',X1)))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[c13,d12]) ).
cnf(d14,plain,
( ~ 'in$uenvironment'(X0,'initial$uFM$uEP'(X0))
| ~ environment(X0)
| ~ 'greater$uor$uequal'(sk2,'initial$uFM$uEP'(X0))
| decreases(difference('disbanding$urate'('first$umovers','initial$uFM$uEP'(X0)),'disbanding$urate'('efficient$uproducers','initial$uFM$uEP'(X0))))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d13,d9]) ).
cnf(d15,plain,
( ~ environment(X1)
| ~ subpopulations('first$umovers','efficient$uproducers',X1,'initial$uFM$uEP'(X0))
| ~ 'greater$uor$uequal'(sk2,'initial$uFM$uEP'(X0))
| ~ 'in$uenvironment'(X0,'initial$uFM$uEP'(X0))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d14,c0]) ).
cnf(d16,plain,
( ~ 'in$uenvironment'(X0,'initial$uFM$uEP'(X0))
| ~ environment(X0)
| ~ 'greater$uor$uequal'(sk2,'initial$uFM$uEP'(X0))
| ~ 'in$uenvironment'(X0,'initial$uFM$uEP'(X0))
| ~ environment(X0)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[d15,c1]) ).
cnf(d17,plain,
( ~ 'in$uenvironment'(sk1,'initial$uFM$uEP'(sk1))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[d16,d1]) ).
cnf(d18,plain,
~ 'in$uenvironment'(sk1,'initial$uFM$uEP'(sk1)),
inference(resolution,[status(thm)],[c11,d17]) ).
cnf(d19,plain,
sk2 = 'initial$uFM$uEP'(sk1),
inference(resolution,[status(thm)],[d18,d8]) ).
cnf(d20,plain,
~ 'in$uenvironment'(sk1,sk2),
inference(demodulation,[status(thm)],[d18,d19]) ).
cnf(d21,plain,
$false,
inference(resolution,[status(thm)],[d7,d20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT020-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 00:04:32 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.96/1.92 % SZS status Unsatisfiable for theBenchmark.p
% 11.96/1.92 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------