%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT017-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% 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 : Tue Sep 8 06:19:47 AM UTC 2026
% Result : Unsatisfiable 0.40s 0.65s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of clauses : 36 ( 18 unt; 0 nHn; 36 RR)
% Number of literals : 134 ( 0 equ; 101 neg)
% Maximal clause size : 13 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 18 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ organization(u,v)
| inertia(u,sk1(v,u),v) ),
file('MGT017-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ greater(u,v)
| ~ organization(w,x)
| ~ organization(y,z)
| ~ inertia(w,x1,x)
| ~ inertia(y,x2,z)
| ~ size(w,u,x)
| ~ size(y,v,z)
| ~ class(w,x3,x)
| ~ class(y,x3,z)
| greater(x1,x2) ),
file('MGT017-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ greater(u,v)
| ~ organization(w,x)
| ~ organization(w,y)
| ~ organization(z,y)
| ~ inertia(w,u,y)
| ~ inertia(z,v,y)
| ~ reorganization_type(w,x1,y)
| ~ reorganization_type(z,x1,y)
| ~ reorganization(w,y,x)
| ~ reorganization(z,y,x2)
| ~ class(w,x3,y)
| ~ class(z,x3,y)
| greater(x,x2) ),
file('MGT017-1.p',unknown),
[] ).
cnf(4,axiom,
organization(sk2,sk8),
file('MGT017-1.p',unknown),
[] ).
cnf(5,axiom,
organization(sk3,sk8),
file('MGT017-1.p',unknown),
[] ).
cnf(6,axiom,
organization(sk3,sk10),
file('MGT017-1.p',unknown),
[] ).
cnf(7,axiom,
class(sk2,sk5,sk8),
file('MGT017-1.p',unknown),
[] ).
cnf(8,axiom,
class(sk3,sk5,sk8),
file('MGT017-1.p',unknown),
[] ).
cnf(9,axiom,
reorganization(sk2,sk8,sk9),
file('MGT017-1.p',unknown),
[] ).
cnf(10,axiom,
reorganization(sk3,sk8,sk10),
file('MGT017-1.p',unknown),
[] ).
cnf(11,axiom,
reorganization_type(sk2,sk4,sk8),
file('MGT017-1.p',unknown),
[] ).
cnf(12,axiom,
reorganization_type(sk3,sk4,sk8),
file('MGT017-1.p',unknown),
[] ).
cnf(13,axiom,
size(sk2,sk6,sk8),
file('MGT017-1.p',unknown),
[] ).
cnf(14,axiom,
size(sk3,sk7,sk8),
file('MGT017-1.p',unknown),
[] ).
cnf(15,axiom,
greater(sk7,sk6),
file('MGT017-1.p',unknown),
[] ).
cnf(16,axiom,
~ greater(sk10,sk9),
file('MGT017-1.p',unknown),
[] ).
cnf(17,plain,
( ~ organization(u,v)
| ~ organization(w,x)
| ~ inertia(u,y,v)
| ~ inertia(w,z,x)
| ~ class(u,x1,v)
| ~ class(w,x1,x)
| ~ size(u,sk7,v)
| ~ size(w,sk6,x)
| greater(y,z) ),
inference(res,[status(thm),theory(equality)],[15,2]),
[iquote('0:Res:15.0,2.8')] ).
cnf(22,plain,
( ~ greater(u,v)
| ~ organization(w,x)
| ~ organization(sk3,x)
| ~ inertia(w,v,x)
| ~ reorganization_type(w,y,x)
| ~ reorganization(w,x,z)
| ~ class(w,x1,x)
| ~ inertia(sk3,u,x)
| ~ reorganization_type(sk3,y,x)
| ~ class(sk3,x1,x)
| ~ reorganization(sk3,x,sk10)
| greater(sk10,z) ),
inference(res,[status(thm),theory(equality)],[6,3]),
[iquote('0:Res:6.0,3.2')] ).
cnf(27,plain,
inertia(sk3,sk1(sk8,sk3),sk8),
inference(res,[status(thm),theory(equality)],[5,1]),
[iquote('0:Res:5.0,1.0')] ).
cnf(33,plain,
inertia(sk2,sk1(sk8,sk2),sk8),
inference(res,[status(thm),theory(equality)],[4,1]),
[iquote('0:Res:4.0,1.0')] ).
cnf(137,plain,
( ~ organization(sk3,sk8)
| ~ organization(u,v)
| ~ inertia(u,w,v)
| ~ class(sk3,x,sk8)
| ~ class(u,x,v)
| ~ size(sk3,sk7,sk8)
| ~ size(u,sk6,v)
| greater(sk1(sk8,sk3),w) ),
inference(res,[status(thm),theory(equality)],[27,17]),
[iquote('0:Res:27.0,17.2')] ).
cnf(141,plain,
( ~ organization(u,v)
| ~ inertia(u,w,v)
| ~ class(sk3,x,sk8)
| ~ class(u,x,v)
| ~ size(u,sk6,v)
| greater(sk1(sk8,sk3),w) ),
inference(mrr,[status(thm)],[137,5,14]),
[iquote('0:MRR:137.0,137.5,5.0,14.0')] ).
cnf(145,plain,
( ~ organization(sk2,sk8)
| ~ class(sk3,u,sk8)
| ~ class(sk2,u,sk8)
| ~ size(sk2,sk6,sk8)
| greater(sk1(sk8,sk3),sk1(sk8,sk2)) ),
inference(res,[status(thm),theory(equality)],[33,141]),
[iquote('0:Res:33.0,141.1')] ).
cnf(152,plain,
( ~ class(sk3,u,sk8)
| ~ class(sk2,u,sk8)
| greater(sk1(sk8,sk3),sk1(sk8,sk2)) ),
inference(mrr,[status(thm)],[145,4,13]),
[iquote('0:MRR:145.0,145.3,4.0,13.0')] ).
cnf(163,plain,
( ~ class(sk2,sk5,sk8)
| greater(sk1(sk8,sk3),sk1(sk8,sk2)) ),
inference(res,[status(thm),theory(equality)],[8,152]),
[iquote('0:Res:8.0,152.0')] ).
cnf(164,plain,
greater(sk1(sk8,sk3),sk1(sk8,sk2)),
inference(mrr,[status(thm)],[163,7]),
[iquote('0:MRR:163.0,7.0')] ).
cnf(230,plain,
( ~ greater(u,sk1(sk8,sk2))
| ~ organization(sk2,sk8)
| ~ organization(sk3,sk8)
| ~ reorganization_type(sk2,v,sk8)
| ~ reorganization(sk2,sk8,w)
| ~ class(sk2,x,sk8)
| ~ inertia(sk3,u,sk8)
| ~ reorganization_type(sk3,v,sk8)
| ~ class(sk3,x,sk8)
| ~ reorganization(sk3,sk8,sk10)
| greater(sk10,w) ),
inference(res,[status(thm),theory(equality)],[33,22]),
[iquote('0:Res:33.0,22.3')] ).
cnf(237,plain,
( ~ greater(u,sk1(sk8,sk2))
| ~ reorganization_type(sk2,v,sk8)
| ~ reorganization(sk2,sk8,w)
| ~ class(sk2,x,sk8)
| ~ inertia(sk3,u,sk8)
| ~ reorganization_type(sk3,v,sk8)
| ~ class(sk3,x,sk8)
| greater(sk10,w) ),
inference(mrr,[status(thm)],[230,4,5,10]),
[iquote('0:MRR:230.1,230.2,230.9,4.0,5.0,10.0')] ).
cnf(454,plain,
( ~ reorganization_type(sk2,u,sk8)
| ~ reorganization(sk2,sk8,v)
| ~ class(sk2,w,sk8)
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ reorganization_type(sk3,u,sk8)
| ~ class(sk3,w,sk8)
| greater(sk10,v) ),
inference(res,[status(thm),theory(equality)],[164,237]),
[iquote('0:Res:164.0,237.0')] ).
cnf(457,plain,
( ~ reorganization_type(sk2,u,sk8)
| ~ reorganization(sk2,sk8,v)
| ~ class(sk2,w,sk8)
| ~ reorganization_type(sk3,u,sk8)
| ~ class(sk3,w,sk8)
| greater(sk10,v) ),
inference(mrr,[status(thm)],[454,27]),
[iquote('0:MRR:454.3,27.0')] ).
cnf(458,plain,
( ~ reorganization(sk2,sk8,u)
| ~ class(sk2,v,sk8)
| ~ reorganization_type(sk3,sk4,sk8)
| ~ class(sk3,v,sk8)
| greater(sk10,u) ),
inference(res,[status(thm),theory(equality)],[11,457]),
[iquote('0:Res:11.0,457.0')] ).
cnf(459,plain,
( ~ reorganization(sk2,sk8,u)
| ~ class(sk2,v,sk8)
| ~ class(sk3,v,sk8)
| greater(sk10,u) ),
inference(mrr,[status(thm)],[458,12]),
[iquote('0:MRR:458.2,12.0')] ).
cnf(460,plain,
( ~ class(sk2,u,sk8)
| ~ class(sk3,u,sk8)
| greater(sk10,sk9) ),
inference(res,[status(thm),theory(equality)],[9,459]),
[iquote('0:Res:9.0,459.0')] ).
cnf(461,plain,
( ~ class(sk2,u,sk8)
| ~ class(sk3,u,sk8) ),
inference(mrr,[status(thm)],[460,16]),
[iquote('0:MRR:460.2,16.0')] ).
cnf(462,plain,
~ class(sk3,sk5,sk8),
inference(res,[status(thm),theory(equality)],[7,461]),
[iquote('0:Res:7.0,461.0')] ).
cnf(463,plain,
$false,
inference(mrr,[status(thm)],[462,8]),
[iquote('0:MRR:462.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT017-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : run_spass %d %s
% 0.13/0.37 % Computer : n007.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Mon Sep 7 11:54:41 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.40/0.65
% 0.40/0.65 SPASS V 3.9
% 0.40/0.65 SPASS beiseite: Proof found.
% 0.40/0.65 % SZS status Theorem
% 0.40/0.65 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.65 SPASS derived 281 clauses, backtracked 0 clauses, performed 0 splits and kept 216 clauses.
% 0.40/0.65 SPASS allocated 63775 KBytes.
% 0.40/0.65 SPASS spent 0:00:00.25 on the problem.
% 0.40/0.65 0:00:00.06 for the input.
% 0.40/0.65 0:00:00.00 for the FLOTTER CNF translation.
% 0.40/0.65 0:00:00.02 for inferences.
% 0.40/0.65 0:00:00.00 for the backtracking.
% 0.40/0.65 0:00:00.11 for the reduction.
% 0.40/0.65
% 0.40/0.65
% 0.40/0.65 Here is a proof with depth 8, length 36 :
% 0.40/0.65 % SZS output start Refutation
% See solution above
% 0.40/0.65 Formulae used in the proof : mp5_1 a5_FOL_2 a13_FOL_3 t17_FOL_4 t17_FOL_5 t17_FOL_6 t17_FOL_7 t17_FOL_8 t17_FOL_9 t17_FOL_10 t17_FOL_11 t17_FOL_12 t17_FOL_13 t17_FOL_14 t17_FOL_15 t17_FOL_16
% 0.40/0.65
%------------------------------------------------------------------------------