%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT012-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 08:01:00 AM UTC 2026
% Result : Unsatisfiable 10.66s 2.25s
% Output : CNFRefutation 10.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 13
% Syntax : Number of clauses : 57 ( 19 unt; 0 nHn; 57 RR)
% Number of literals : 178 ( 9 equ; 128 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 98 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp5_20,axiom,
( inertia(X0,sk1(X1,X0),X1)
| ~ organization(X0,X1) ) ).
cnf(mp6_2_22,axiom,
( ~ greater(X1,X0)
| ~ greater(X0,X1) ) ).
cnf(mp9_23,axiom,
( class(X0,sk2(X1,X0),X1)
| ~ organization(X0,X1) ) ).
cnf(mp10_24,axiom,
( X3 = X4
| ~ class(X0,X4,X2)
| ~ class(X0,X3,X1)
| ~ 'reorganization$ufree'(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ) ).
cnf(a12_FOL_25,hypothesis,
( greater(X8,X7)
| ~ greater(X6,X5)
| ~ inertia(X2,X8,X3)
| ~ inertia(X0,X7,X1)
| ~ complexity(X2,X6,X3)
| ~ complexity(X0,X5,X1)
| ~ class(X2,X4,X3)
| ~ class(X0,X4,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ) ).
cnf(t2_FOL_26,hypothesis,
( greater(X4,X3)
| ~ greater(X2,X1)
| ~ inertia(X0,X4,X2)
| ~ inertia(X0,X3,X1)
| ~ 'reorganization$ufree'(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ) ).
cnf(t12_FOL_27,negated_conjecture,
organization(sk3,sk6) ).
cnf(t12_FOL_28,negated_conjecture,
organization(sk3,sk7) ).
cnf(t12_FOL_29,negated_conjecture,
'reorganization$ufree'(sk3,sk6,sk7) ).
cnf(t12_FOL_30,negated_conjecture,
complexity(sk3,sk4,sk6) ).
cnf(t12_FOL_31,negated_conjecture,
complexity(sk3,sk5,sk7) ).
cnf(t12_FOL_32,negated_conjecture,
greater(sk7,sk6) ).
cnf(t12_FOL_33,negated_conjecture,
greater(sk4,sk5) ).
cnf(c0,plain,
( inertia(X0,sk1(X1,X0),X1)
| ~ organization(X0,X1) ),
inference(clausification,[status(esa)],[mp5_20]) ).
cnf(c2,plain,
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[mp6_2_22]) ).
cnf(c3,plain,
( class(X0,sk2(X1,X0),X1)
| ~ organization(X0,X1) ),
inference(clausification,[status(esa)],[mp9_23]) ).
cnf(c4,plain,
( ~ organization(X0,X4)
| ~ class(X0,X2,X1)
| ~ 'reorganization$ufree'(X0,X1,X4)
| ~ class(X0,X3,X4)
| X2 = X3
| ~ organization(X0,X1) ),
inference(clausification,[status(esa)],[mp10_24]) ).
cnf(c5,plain,
( ~ class(X4,X1,X6)
| ~ greater(X5,X8)
| ~ inertia(X4,X7,X6)
| ~ complexity(X0,X8,X2)
| ~ organization(X0,X2)
| greater(X7,X3)
| ~ organization(X4,X6)
| ~ complexity(X4,X5,X6)
| ~ inertia(X0,X3,X2)
| ~ class(X0,X1,X2) ),
inference(clausification,[status(esa)],[a12_FOL_25]) ).
cnf(c6,plain,
( ~ 'reorganization$ufree'(X0,X2,X4)
| ~ greater(X4,X2)
| ~ inertia(X0,X3,X4)
| ~ organization(X0,X2)
| ~ organization(X0,X4)
| greater(X3,X1)
| ~ inertia(X0,X1,X2) ),
inference(clausification,[status(esa)],[t2_FOL_26]) ).
cnf(c7,plain,
organization(sk3,sk6),
inference(clausification,[status(esa)],[t12_FOL_27]) ).
cnf(c8,plain,
organization(sk3,sk7),
inference(clausification,[status(esa)],[t12_FOL_28]) ).
cnf(c9,plain,
'reorganization$ufree'(sk3,sk6,sk7),
inference(clausification,[status(esa)],[t12_FOL_29]) ).
cnf(c10,plain,
complexity(sk3,sk4,sk6),
inference(clausification,[status(esa)],[t12_FOL_30]) ).
cnf(c11,plain,
complexity(sk3,sk5,sk7),
inference(clausification,[status(esa)],[t12_FOL_31]) ).
cnf(c12,plain,
greater(sk7,sk6),
inference(clausification,[status(esa)],[t12_FOL_32]) ).
cnf(c13,plain,
greater(sk4,sk5),
inference(clausification,[status(esa)],[t12_FOL_33]) ).
cnf(d0,plain,
( ~ greater(sk7,sk6)
| greater(X0,X1)
| ~ inertia(sk3,X1,sk6)
| ~ inertia(sk3,X0,sk7)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7) ),
inference(resolution,[status(thm)],[c9,c6]) ).
cnf(d1,plain,
( ~ greater(sk7,sk6)
| greater(X1,X0)
| ~ inertia(sk3,X1,sk7)
| ~ inertia(sk3,X0,sk6)
| ~ organization(sk3,sk7) ),
inference(resolution,[status(thm)],[c7,d0]) ).
cnf(d2,plain,
( ~ greater(sk7,sk6)
| greater(X0,X1)
| ~ inertia(sk3,X1,sk6)
| ~ inertia(sk3,X0,sk7) ),
inference(resolution,[status(thm)],[c8,d1]) ).
cnf(d3,plain,
( greater(X1,X0)
| ~ inertia(sk3,X1,sk7)
| ~ inertia(sk3,X0,sk6) ),
inference(resolution,[status(thm)],[c12,d2]) ).
cnf(d4,plain,
( ~ organization(sk3,sk6)
| greater(X0,sk1(sk6,sk3))
| ~ inertia(sk3,X0,sk7) ),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
( greater(X0,sk1(sk6,sk3))
| ~ inertia(sk3,X0,sk7) ),
inference(resolution,[status(thm)],[c7,d4]) ).
cnf(d6,plain,
( ~ greater(sk1(sk6,sk3),X0)
| ~ inertia(sk3,X0,sk7) ),
inference(resolution,[status(thm)],[d5,c2]) ).
cnf(d7,plain,
( ~ class(sk3,X0,sk6)
| ~ class(sk3,X1,sk7)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6)
| X0 = X1 ),
inference(resolution,[status(thm)],[c9,c4]) ).
cnf(d8,plain,
( ~ class(sk3,X0,sk6)
| ~ class(sk3,X1,sk7)
| ~ organization(sk3,sk7)
| X0 = X1 ),
inference(resolution,[status(thm)],[c7,d7]) ).
cnf(d9,plain,
( ~ class(sk3,X0,sk6)
| ~ class(sk3,X1,sk7)
| X0 = X1 ),
inference(resolution,[status(thm)],[c8,d8]) ).
cnf(d10,plain,
( ~ organization(sk3,sk6)
| ~ class(sk3,X0,sk7)
| sk2(sk6,sk3) = X0 ),
inference(resolution,[status(thm)],[d9,c3]) ).
cnf(d11,plain,
( ~ class(sk3,X0,sk7)
| sk2(sk6,sk3) = X0 ),
inference(resolution,[status(thm)],[c7,d10]) ).
cnf(d12,plain,
( ~ organization(sk3,sk7)
| sk2(sk6,sk3) = sk2(sk7,sk3) ),
inference(resolution,[status(thm)],[d11,c3]) ).
cnf(d13,plain,
sk2(sk6,sk3) = sk2(sk7,sk3),
inference(resolution,[status(thm)],[c8,d12]) ).
cnf(d14,plain,
( ~ organization(sk3,sk7)
| class(sk3,sk2(sk6,sk3),sk7) ),
inference(superposition,[status(thm)],[d13,c3]) ).
cnf(d15,plain,
class(sk3,sk2(sk6,sk3),sk7),
inference(resolution,[status(thm)],[c8,d14]) ).
cnf(d16,plain,
( ~ complexity(X0,X4,X1)
| ~ class(sk3,X5,sk7)
| ~ class(X0,X5,X1)
| ~ greater(X4,sk5)
| greater(X2,X3)
| ~ inertia(sk3,X3,sk7)
| ~ inertia(X0,X2,X1)
| ~ organization(sk3,sk7)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[c11,c5]) ).
cnf(d17,plain,
( ~ complexity(X0,X4,X1)
| ~ class(sk3,X5,sk7)
| ~ class(X0,X5,X1)
| greater(X2,X3)
| ~ greater(X4,sk5)
| ~ inertia(sk3,X3,sk7)
| ~ inertia(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[c8,d16]) ).
cnf(d18,plain,
( ~ class(sk3,X2,sk7)
| ~ class(sk3,X2,sk6)
| greater(X0,X1)
| ~ greater(sk4,sk5)
| ~ inertia(sk3,X1,sk7)
| ~ inertia(sk3,X0,sk6)
| ~ organization(sk3,sk6) ),
inference(resolution,[status(thm)],[d17,c10]) ).
cnf(d19,plain,
( ~ class(sk3,X2,sk7)
| ~ class(sk3,X2,sk6)
| ~ greater(sk4,sk5)
| greater(X1,X0)
| ~ inertia(sk3,X1,sk6)
| ~ inertia(sk3,X0,sk7) ),
inference(resolution,[status(thm)],[c7,d18]) ).
cnf(d20,plain,
( ~ class(sk3,X2,sk7)
| ~ class(sk3,X2,sk6)
| greater(X0,X1)
| ~ inertia(sk3,X1,sk7)
| ~ inertia(sk3,X0,sk6) ),
inference(resolution,[status(thm)],[c13,d19]) ).
cnf(d21,plain,
( ~ class(sk3,sk2(sk6,sk3),sk6)
| greater(X1,X0)
| ~ inertia(sk3,X1,sk6)
| ~ inertia(sk3,X0,sk7) ),
inference(resolution,[status(thm)],[d20,d15]) ).
cnf(d22,plain,
( ~ organization(sk3,sk6)
| greater(X0,X1)
| ~ inertia(sk3,X1,sk7)
| ~ inertia(sk3,X0,sk6) ),
inference(resolution,[status(thm)],[d21,c3]) ).
cnf(d23,plain,
( greater(X1,X0)
| ~ inertia(sk3,X1,sk6)
| ~ inertia(sk3,X0,sk7) ),
inference(resolution,[status(thm)],[c7,d22]) ).
cnf(d24,plain,
( ~ organization(sk3,sk7)
| greater(X0,sk1(sk7,sk3))
| ~ inertia(sk3,X0,sk6) ),
inference(resolution,[status(thm)],[d23,c0]) ).
cnf(d25,plain,
( greater(X0,sk1(sk7,sk3))
| ~ inertia(sk3,X0,sk6) ),
inference(resolution,[status(thm)],[c8,d24]) ).
cnf(d26,plain,
( ~ inertia(sk3,sk1(sk7,sk3),sk7)
| ~ inertia(sk3,sk1(sk6,sk3),sk6) ),
inference(resolution,[status(thm)],[d25,d6]) ).
cnf(d27,plain,
( ~ organization(sk3,sk7)
| ~ inertia(sk3,sk1(sk6,sk3),sk6) ),
inference(resolution,[status(thm)],[d26,c0]) ).
cnf(d28,plain,
~ inertia(sk3,sk1(sk6,sk3),sk6),
inference(resolution,[status(thm)],[c8,d27]) ).
cnf(d29,plain,
~ organization(sk3,sk6),
inference(resolution,[status(thm)],[d28,c0]) ).
cnf(d30,plain,
$false,
inference(resolution,[status(thm)],[c7,d29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT012-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 00:01:23 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.66/2.25 % SZS status Unsatisfiable for theBenchmark.p
% 10.66/2.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------