%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT018+1 : 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 : n013.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 : Theorem 10.65s 1.93s
% Output : CNFRefutation 10.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 45 ( 15 unt; 0 def)
% Number of atoms : 220 ( 0 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 316 ( 141 ~; 129 |; 41 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 131 ( 0 sgn 38 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp5,axiom,
! [X0,X1] :
( organization(X0,X1)
=> ? [X2] : inertia(X0,X2,X1) ) ).
fof(a5_FOL,hypothesis,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( greater(X4,X3)
& inertia(X1,X6,X8)
& inertia(X0,X5,X7)
& size(X1,X4,X8)
& size(X0,X3,X7)
& class(X1,X2,X8)
& class(X0,X2,X7)
& organization(X1,X8)
& organization(X0,X7) )
=> greater(X6,X5) ) ).
fof(a14_FOL,hypothesis,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( greater(X5,X4)
& inertia(X1,X5,X6)
& inertia(X0,X4,X6)
& 'reorganization$utype'(X1,X2,X6)
& 'reorganization$utype'(X0,X2,X6)
& reorganization(X1,X6,X8)
& reorganization(X0,X6,X7)
& class(X1,X3,X6)
& class(X0,X3,X6)
& ~ organization(X1,X8)
& organization(X1,X6)
& organization(X0,X6) )
=> greater(X7,X8) ) ).
fof(t18_FOL,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( greater(X5,X4)
& size(X1,X5,X6)
& size(X0,X4,X6)
& 'reorganization$utype'(X1,X2,X6)
& 'reorganization$utype'(X0,X2,X6)
& reorganization(X1,X6,X8)
& reorganization(X0,X6,X7)
& class(X1,X3,X6)
& class(X0,X3,X6)
& ~ organization(X1,X8)
& organization(X1,X6)
& organization(X0,X6) )
=> greater(X7,X8) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( greater(X5,X4)
& size(X1,X5,X6)
& size(X0,X4,X6)
& 'reorganization$utype'(X1,X2,X6)
& 'reorganization$utype'(X0,X2,X6)
& reorganization(X1,X6,X8)
& reorganization(X0,X6,X7)
& class(X1,X3,X6)
& class(X0,X3,X6)
& ~ organization(X1,X8)
& organization(X1,X6)
& organization(X0,X6) )
=> greater(X7,X8) ),
inference(negate_conjecture,[status(cth)],[t18_FOL]) ).
cnf(c0,plain,
( inertia(X0,sK2(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(clausification,[status(esa)],[mp5]) ).
cnf(c1,plain,
( ~ organization(X3,X5)
| ~ size(X0,X6,X2)
| greater(X8,X4)
| ~ inertia(X0,X8,X2)
| ~ size(X3,X7,X5)
| ~ class(X3,X1,X5)
| ~ greater(X6,X7)
| ~ organization(X0,X2)
| ~ inertia(X3,X4,X5)
| ~ class(X0,X1,X2) ),
inference(clausification,[status(esa)],[a5_FOL]) ).
cnf(c2,plain,
( ~ greater(X8,X3)
| ~ reorganization(X2,X4,X6)
| ~ 'reorganization$utype'(X2,X5,X4)
| ~ organization(X0,X4)
| ~ inertia(X0,X8,X4)
| ~ class(X2,X7,X4)
| ~ reorganization(X0,X4,X1)
| ~ organization(X2,X4)
| ~ class(X0,X7,X4)
| greater(X6,X1)
| ~ 'reorganization$utype'(X0,X5,X4)
| ~ inertia(X2,X3,X4)
| organization(X0,X1) ),
inference(clausification,[status(esa)],[a14_FOL]) ).
cnf(c3,plain,
organization(sK21,sK27),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
organization(sK22,sK27),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c5,plain,
~ organization(sK22,sK29),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c6,plain,
class(sK21,sK24,sK27),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c7,plain,
class(sK22,sK24,sK27),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c8,plain,
reorganization(sK21,sK27,sK28),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c9,plain,
reorganization(sK22,sK27,sK29),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c10,plain,
'reorganization$utype'(sK21,sK23,sK27),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c11,plain,
'reorganization$utype'(sK22,sK23,sK27),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c12,plain,
size(sK21,sK25,sK27),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c13,plain,
size(sK22,sK26,sK27),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c14,plain,
greater(sK26,sK25),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c15,plain,
~ greater(sK28,sK29),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ greater(X4,X5)
| greater(X2,X3)
| ~ class(X0,sK24,X1)
| ~ size(sK21,X5,sK27)
| ~ size(X0,X4,X1)
| ~ inertia(sK21,X3,sK27)
| ~ inertia(X0,X2,X1)
| ~ organization(sK21,sK27)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[c6,c1]) ).
cnf(d1,plain,
( greater(X2,X3)
| ~ greater(X4,X5)
| ~ class(X0,sK24,X1)
| ~ size(sK21,X5,sK27)
| ~ size(X0,X4,X1)
| ~ inertia(sK21,X3,sK27)
| ~ inertia(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[c3,d0]) ).
cnf(d2,plain,
( greater(X0,X1)
| ~ greater(X2,X3)
| ~ size(sK21,X3,sK27)
| ~ size(sK22,X2,sK27)
| ~ inertia(sK21,X1,sK27)
| ~ inertia(sK22,X0,sK27)
| ~ organization(sK22,sK27) ),
inference(resolution,[status(thm)],[d1,c7]) ).
cnf(d3,plain,
( greater(X1,X0)
| ~ greater(X3,X2)
| ~ size(sK22,X3,sK27)
| ~ size(sK21,X2,sK27)
| ~ inertia(sK22,X1,sK27)
| ~ inertia(sK21,X0,sK27) ),
inference(resolution,[status(thm)],[c4,d2]) ).
cnf(d4,plain,
( greater(X1,X0)
| ~ greater(sK26,X2)
| ~ size(sK21,X2,sK27)
| ~ inertia(sK22,X1,sK27)
| ~ inertia(sK21,X0,sK27) ),
inference(resolution,[status(thm)],[d3,c13]) ).
cnf(d5,plain,
( ~ greater(sK26,sK25)
| greater(X1,X0)
| ~ inertia(sK22,X1,sK27)
| ~ inertia(sK21,X0,sK27) ),
inference(resolution,[status(thm)],[d4,c12]) ).
cnf(d6,plain,
( greater(X1,X0)
| ~ inertia(sK22,X1,sK27)
| ~ inertia(sK21,X0,sK27) ),
inference(resolution,[status(thm)],[c14,d5]) ).
cnf(d7,plain,
( ~ organization(sK22,sK27)
| greater(sK2(sK22,sK27),X0)
| ~ inertia(sK21,X0,sK27) ),
inference(resolution,[status(thm)],[d6,c0]) ).
cnf(d8,plain,
( greater(sK2(sK22,sK27),X0)
| ~ inertia(sK21,X0,sK27) ),
inference(resolution,[status(thm)],[c4,d7]) ).
cnf(d9,plain,
( ~ reorganization(X0,sK27,X4)
| ~ 'reorganization$utype'(sK22,X5,sK27)
| ~ 'reorganization$utype'(X0,X5,sK27)
| ~ greater(X2,X1)
| greater(X4,sK29)
| ~ class(sK22,X3,sK27)
| ~ class(X0,X3,sK27)
| ~ inertia(sK22,X2,sK27)
| ~ inertia(X0,X1,sK27)
| ~ organization(sK22,sK27)
| organization(sK22,sK29)
| ~ organization(X0,sK27) ),
inference(resolution,[status(thm)],[c9,c2]) ).
cnf(d10,plain,
( ~ reorganization(X0,sK27,X4)
| ~ 'reorganization$utype'(sK22,X5,sK27)
| ~ 'reorganization$utype'(X0,X5,sK27)
| ~ greater(X2,X1)
| greater(X4,sK29)
| ~ class(sK22,X3,sK27)
| ~ class(X0,X3,sK27)
| ~ inertia(sK22,X2,sK27)
| ~ inertia(X0,X1,sK27)
| organization(sK22,sK29)
| ~ organization(X0,sK27) ),
inference(resolution,[status(thm)],[c4,d9]) ).
cnf(d11,plain,
( ~ reorganization(X0,sK27,X4)
| ~ 'reorganization$utype'(sK22,X5,sK27)
| ~ 'reorganization$utype'(X0,X5,sK27)
| ~ greater(X2,X1)
| greater(X4,sK29)
| ~ class(sK22,X3,sK27)
| ~ class(X0,X3,sK27)
| ~ inertia(sK22,X2,sK27)
| ~ inertia(X0,X1,sK27)
| ~ organization(X0,sK27) ),
inference(resolution,[status(thm)],[c5,d10]) ).
cnf(d12,plain,
( ~ 'reorganization$utype'(sK22,X3,sK27)
| ~ 'reorganization$utype'(sK21,X3,sK27)
| ~ greater(X1,X0)
| greater(sK28,sK29)
| ~ class(sK22,X2,sK27)
| ~ class(sK21,X2,sK27)
| ~ inertia(sK22,X1,sK27)
| ~ inertia(sK21,X0,sK27)
| ~ organization(sK21,sK27) ),
inference(resolution,[status(thm)],[d11,c8]) ).
cnf(d13,plain,
( ~ 'reorganization$utype'(sK22,X3,sK27)
| ~ 'reorganization$utype'(sK21,X3,sK27)
| greater(sK28,sK29)
| ~ greater(X1,X0)
| ~ class(sK22,X2,sK27)
| ~ class(sK21,X2,sK27)
| ~ inertia(sK22,X1,sK27)
| ~ inertia(sK21,X0,sK27) ),
inference(resolution,[status(thm)],[c3,d12]) ).
cnf(d14,plain,
( ~ 'reorganization$utype'(sK22,X3,sK27)
| ~ 'reorganization$utype'(sK21,X3,sK27)
| ~ greater(X1,X0)
| ~ class(sK22,X2,sK27)
| ~ class(sK21,X2,sK27)
| ~ inertia(sK22,X1,sK27)
| ~ inertia(sK21,X0,sK27) ),
inference(resolution,[status(thm)],[c15,d13]) ).
cnf(d15,plain,
( ~ 'reorganization$utype'(sK21,sK23,sK27)
| ~ greater(X1,X0)
| ~ class(sK22,X2,sK27)
| ~ class(sK21,X2,sK27)
| ~ inertia(sK22,X1,sK27)
| ~ inertia(sK21,X0,sK27) ),
inference(resolution,[status(thm)],[d14,c11]) ).
cnf(d16,plain,
( ~ greater(X1,X0)
| ~ class(sK22,X2,sK27)
| ~ class(sK21,X2,sK27)
| ~ inertia(sK22,X1,sK27)
| ~ inertia(sK21,X0,sK27) ),
inference(resolution,[status(thm)],[c10,d15]) ).
cnf(d17,plain,
( ~ greater(X1,X0)
| ~ class(sK21,sK24,sK27)
| ~ inertia(sK22,X1,sK27)
| ~ inertia(sK21,X0,sK27) ),
inference(resolution,[status(thm)],[d16,c7]) ).
cnf(d18,plain,
( ~ greater(X1,X0)
| ~ inertia(sK22,X1,sK27)
| ~ inertia(sK21,X0,sK27) ),
inference(resolution,[status(thm)],[c6,d17]) ).
cnf(d19,plain,
( ~ organization(sK22,sK27)
| ~ greater(sK2(sK22,sK27),X0)
| ~ inertia(sK21,X0,sK27) ),
inference(resolution,[status(thm)],[d18,c0]) ).
cnf(d20,plain,
( ~ greater(sK2(sK22,sK27),X0)
| ~ inertia(sK21,X0,sK27) ),
inference(resolution,[status(thm)],[c4,d19]) ).
cnf(d21,plain,
( ~ inertia(sK21,X0,sK27)
| ~ inertia(sK21,X0,sK27) ),
inference(resolution,[status(thm)],[d20,d8]) ).
cnf(d22,plain,
~ organization(sK21,sK27),
inference(resolution,[status(thm)],[d21,c0]) ).
cnf(d23,plain,
$false,
inference(resolution,[status(thm)],[c3,d22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT018+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n013.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 26 00:03:06 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.65/1.93 % SZS status Theorem for theBenchmark.p
% 10.65/1.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------