TSTP Solution File: MGT009-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT009-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:26:09 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of clauses : 33 ( 17 unt; 0 nHn; 33 RR)
% Number of literals : 110 ( 0 equ; 78 neg)
% Maximal clause size : 10 ( 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('MGT009-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ greater(u,v)
| ~ organization(w,x)
| ~ organization(y,z)
| ~ inertia(w,u,x)
| ~ inertia(y,v,z)
| ~ reproducibility(w,x1,x)
| ~ reproducibility(y,x2,z)
| ~ reorganization_free(w,x,x)
| ~ reorganization_free(y,z,z)
| greater(x1,x2) ),
file('MGT009-1.p',unknown),
[] ).
cnf(4,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('MGT009-1.p',unknown),
[] ).
cnf(5,axiom,
organization(sk2,sk9),
file('MGT009-1.p',unknown),
[] ).
cnf(6,axiom,
organization(sk3,sk10),
file('MGT009-1.p',unknown),
[] ).
cnf(7,axiom,
reorganization_free(sk2,sk9,sk9),
file('MGT009-1.p',unknown),
[] ).
cnf(8,axiom,
reorganization_free(sk3,sk10,sk10),
file('MGT009-1.p',unknown),
[] ).
cnf(9,axiom,
class(sk2,sk4,sk9),
file('MGT009-1.p',unknown),
[] ).
cnf(10,axiom,
class(sk3,sk4,sk10),
file('MGT009-1.p',unknown),
[] ).
cnf(11,axiom,
reproducibility(sk2,sk5,sk9),
file('MGT009-1.p',unknown),
[] ).
cnf(12,axiom,
reproducibility(sk3,sk6,sk10),
file('MGT009-1.p',unknown),
[] ).
cnf(13,axiom,
size(sk2,sk7,sk9),
file('MGT009-1.p',unknown),
[] ).
cnf(14,axiom,
size(sk3,sk8,sk10),
file('MGT009-1.p',unknown),
[] ).
cnf(15,axiom,
greater(sk8,sk7),
file('MGT009-1.p',unknown),
[] ).
cnf(16,axiom,
~ greater(sk6,sk5),
file('MGT009-1.p',unknown),
[] ).
cnf(19,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,sk8,v)
| ~ size(w,sk7,x)
| greater(y,z) ),
inference(res,[status(thm),theory(equality)],[15,4]),
[iquote('0:Res:15.0,4.8')] ).
cnf(23,plain,
inertia(sk3,sk1(sk10,sk3),sk10),
inference(res,[status(thm),theory(equality)],[6,1]),
[iquote('0:Res:6.0,1.0')] ).
cnf(25,plain,
( ~ organization(u,v)
| ~ reorganization_free(u,v,v)
| ~ reorganization_free(sk3,sk10,sk10)
| ~ reproducibility(u,w,v)
| ~ reproducibility(sk3,x,sk10)
| ~ inertia(u,y,v)
| ~ inertia(sk3,z,sk10)
| ~ greater(z,y)
| greater(x,w) ),
inference(res,[status(thm),theory(equality)],[6,3]),
[iquote('0:Res:6.0,3.1')] ).
cnf(30,plain,
inertia(sk2,sk1(sk9,sk2),sk9),
inference(res,[status(thm),theory(equality)],[5,1]),
[iquote('0:Res:5.0,1.0')] ).
cnf(39,plain,
( ~ greater(u,v)
| ~ organization(w,x)
| ~ inertia(w,v,x)
| ~ reproducibility(w,y,x)
| ~ reorganization_free(w,x,x)
| ~ inertia(sk3,u,sk10)
| ~ reproducibility(sk3,z,sk10)
| greater(z,y) ),
inference(mrr,[status(thm)],[25,8]),
[iquote('0:MRR:25.2,8.0')] ).
cnf(86,plain,
( ~ greater(u,sk1(sk9,sk2))
| ~ organization(sk2,sk9)
| ~ reproducibility(sk2,v,sk9)
| ~ reorganization_free(sk2,sk9,sk9)
| ~ inertia(sk3,u,sk10)
| ~ reproducibility(sk3,w,sk10)
| greater(w,v) ),
inference(res,[status(thm),theory(equality)],[30,39]),
[iquote('0:Res:30.0,39.2')] ).
cnf(90,plain,
( ~ greater(u,sk1(sk9,sk2))
| ~ reproducibility(sk2,v,sk9)
| ~ inertia(sk3,u,sk10)
| ~ reproducibility(sk3,w,sk10)
| greater(w,v) ),
inference(mrr,[status(thm)],[86,5,7]),
[iquote('0:MRR:86.1,86.3,5.0,7.0')] ).
cnf(224,plain,
( ~ organization(sk3,sk10)
| ~ organization(u,v)
| ~ inertia(u,w,v)
| ~ class(sk3,x,sk10)
| ~ class(u,x,v)
| ~ size(sk3,sk8,sk10)
| ~ size(u,sk7,v)
| greater(sk1(sk10,sk3),w) ),
inference(res,[status(thm),theory(equality)],[23,19]),
[iquote('0:Res:23.0,19.2')] ).
cnf(226,plain,
( ~ organization(u,v)
| ~ inertia(u,w,v)
| ~ class(sk3,x,sk10)
| ~ class(u,x,v)
| ~ size(u,sk7,v)
| greater(sk1(sk10,sk3),w) ),
inference(mrr,[status(thm)],[224,6,14]),
[iquote('0:MRR:224.0,224.5,6.0,14.0')] ).
cnf(305,plain,
( ~ organization(sk2,sk9)
| ~ class(sk3,u,sk10)
| ~ class(sk2,u,sk9)
| ~ size(sk2,sk7,sk9)
| greater(sk1(sk10,sk3),sk1(sk9,sk2)) ),
inference(res,[status(thm),theory(equality)],[30,226]),
[iquote('0:Res:30.0,226.1')] ).
cnf(310,plain,
( ~ class(sk3,u,sk10)
| ~ class(sk2,u,sk9)
| greater(sk1(sk10,sk3),sk1(sk9,sk2)) ),
inference(mrr,[status(thm)],[305,5,13]),
[iquote('0:MRR:305.0,305.3,5.0,13.0')] ).
cnf(321,plain,
( ~ class(sk2,sk4,sk9)
| greater(sk1(sk10,sk3),sk1(sk9,sk2)) ),
inference(res,[status(thm),theory(equality)],[10,310]),
[iquote('0:Res:10.0,310.0')] ).
cnf(322,plain,
greater(sk1(sk10,sk3),sk1(sk9,sk2)),
inference(mrr,[status(thm)],[321,9]),
[iquote('0:MRR:321.0,9.0')] ).
cnf(329,plain,
( ~ reproducibility(sk2,u,sk9)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| ~ reproducibility(sk3,v,sk10)
| greater(v,u) ),
inference(res,[status(thm),theory(equality)],[322,90]),
[iquote('0:Res:322.0,90.0')] ).
cnf(330,plain,
( ~ reproducibility(sk2,u,sk9)
| ~ reproducibility(sk3,v,sk10)
| greater(v,u) ),
inference(mrr,[status(thm)],[329,23]),
[iquote('0:MRR:329.1,23.0')] ).
cnf(334,plain,
( ~ reproducibility(sk3,u,sk10)
| greater(u,sk5) ),
inference(res,[status(thm),theory(equality)],[11,330]),
[iquote('0:Res:11.0,330.0')] ).
cnf(335,plain,
greater(sk6,sk5),
inference(res,[status(thm),theory(equality)],[12,334]),
[iquote('0:Res:12.0,334.0')] ).
cnf(336,plain,
$false,
inference(mrr,[status(thm)],[335,16]),
[iquote('0:MRR:335.0,16.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : MGT009-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 12:31:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49
% 0.19/0.49 SPASS V 3.9
% 0.19/0.49 SPASS beiseite: Proof found.
% 0.19/0.49 % SZS status Theorem
% 0.19/0.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49 SPASS derived 224 clauses, backtracked 0 clauses, performed 0 splits and kept 188 clauses.
% 0.19/0.49 SPASS allocated 63514 KBytes.
% 0.19/0.49 SPASS spent 0:00:00.13 on the problem.
% 0.19/0.49 0:00:00.04 for the input.
% 0.19/0.49 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.49 0:00:00.01 for inferences.
% 0.19/0.49 0:00:00.00 for the backtracking.
% 0.19/0.49 0:00:00.06 for the reduction.
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 Here is a proof with depth 7, length 33 :
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 Formulae used in the proof : mp5_1 a3_FOL_3 a5_FOL_4 t9_FOL_5 t9_FOL_6 t9_FOL_7 t9_FOL_8 t9_FOL_9 t9_FOL_10 t9_FOL_11 t9_FOL_12 t9_FOL_13 t9_FOL_14 t9_FOL_15 t9_FOL_16
% 0.19/0.49
%------------------------------------------------------------------------------