TSTP Solution File: MGT017+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT017+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 22:26:12 EDT 2022
% Result : Theorem 0.37s 0.53s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of clauses : 34 ( 17 unt; 0 nHn; 34 RR)
% Number of literals : 126 ( 0 equ; 96 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(skc17,skc13),
file('MGT017+1.p',unknown),
[] ).
cnf(2,axiom,
organization(skc16,skc10),
file('MGT017+1.p',unknown),
[] ).
cnf(3,axiom,
organization(skc16,skc13),
file('MGT017+1.p',unknown),
[] ).
cnf(4,axiom,
greater(skc11,skc12),
file('MGT017+1.p',unknown),
[] ).
cnf(5,axiom,
size(skc16,skc11,skc13),
file('MGT017+1.p',unknown),
[] ).
cnf(6,axiom,
reorganization_type(skc16,skc15,skc13),
file('MGT017+1.p',unknown),
[] ).
cnf(7,axiom,
reorganization(skc16,skc13,skc10),
file('MGT017+1.p',unknown),
[] ).
cnf(8,axiom,
class(skc16,skc14,skc13),
file('MGT017+1.p',unknown),
[] ).
cnf(9,axiom,
class(skc17,skc14,skc13),
file('MGT017+1.p',unknown),
[] ).
cnf(10,axiom,
reorganization(skc17,skc13,skc9),
file('MGT017+1.p',unknown),
[] ).
cnf(11,axiom,
reorganization_type(skc17,skc15,skc13),
file('MGT017+1.p',unknown),
[] ).
cnf(12,axiom,
size(skc17,skc12,skc13),
file('MGT017+1.p',unknown),
[] ).
cnf(13,axiom,
~ greater(skc10,skc9),
file('MGT017+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ organization(u,v)
| inertia(u,skf1(v,u),v) ),
file('MGT017+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ greater(u,v)
| ~ organization(w,x)
| ~ organization(y,z)
| ~ inertia(w,x1,x)
| ~ size(w,v,x)
| ~ class(w,x2,x)
| ~ class(y,x2,z)
| ~ size(y,u,z)
| ~ inertia(y,x3,z)
| greater(x3,x1) ),
file('MGT017+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ greater(u,v)
| ~ organization(w,x)
| ~ organization(y,x)
| ~ organization(y,z)
| ~ inertia(w,v,x)
| ~ reorganization_type(w,x1,x)
| ~ reorganization(w,x,x2)
| ~ class(w,x3,x)
| ~ class(y,x3,x)
| ~ reorganization(y,x,z)
| ~ reorganization_type(y,x1,x)
| ~ inertia(y,u,x)
| greater(z,x2) ),
file('MGT017+1.p',unknown),
[] ).
cnf(17,plain,
( ~ organization(u,v)
| ~ organization(w,x)
| ~ inertia(u,y,v)
| ~ class(u,z,v)
| ~ class(w,z,x)
| ~ inertia(w,x1,x)
| ~ size(u,skc12,v)
| ~ size(w,skc11,x)
| greater(x1,y) ),
inference(res,[status(thm),theory(equality)],[4,15]),
[iquote('0:Res:4.0,15.8')] ).
cnf(19,plain,
inertia(skc16,skf1(skc13,skc16),skc13),
inference(res,[status(thm),theory(equality)],[3,14]),
[iquote('0:Res:3.0,14.0')] ).
cnf(28,plain,
( ~ greater(u,v)
| ~ organization(w,x)
| ~ organization(skc16,x)
| ~ inertia(w,v,x)
| ~ reorganization_type(w,y,x)
| ~ reorganization(w,x,z)
| ~ class(w,x1,x)
| ~ class(skc16,x1,x)
| ~ reorganization_type(skc16,y,x)
| ~ inertia(skc16,u,x)
| ~ reorganization(skc16,x,skc10)
| greater(skc10,z) ),
inference(res,[status(thm),theory(equality)],[2,16]),
[iquote('0:Res:2.0,16.4')] ).
cnf(31,plain,
inertia(skc17,skf1(skc13,skc17),skc13),
inference(res,[status(thm),theory(equality)],[1,14]),
[iquote('0:Res:1.0,14.0')] ).
cnf(125,plain,
( ~ organization(skc17,skc13)
| ~ organization(u,v)
| ~ class(skc17,w,skc13)
| ~ class(u,w,v)
| ~ inertia(u,x,v)
| ~ size(skc17,skc12,skc13)
| ~ size(u,skc11,v)
| greater(x,skf1(skc13,skc17)) ),
inference(res,[status(thm),theory(equality)],[31,17]),
[iquote('0:Res:31.0,17.2')] ).
cnf(131,plain,
( ~ organization(u,v)
| ~ class(skc17,w,skc13)
| ~ class(u,w,v)
| ~ inertia(u,x,v)
| ~ size(u,skc11,v)
| greater(x,skf1(skc13,skc17)) ),
inference(mrr,[status(thm)],[125,1,12]),
[iquote('0:MRR:125.0,125.5,1.0,12.0')] ).
cnf(140,plain,
( ~ organization(u,v)
| ~ class(u,skc14,v)
| ~ inertia(u,w,v)
| ~ size(u,skc11,v)
| greater(w,skf1(skc13,skc17)) ),
inference(res,[status(thm),theory(equality)],[9,131]),
[iquote('0:Res:9.0,131.1')] ).
cnf(142,plain,
( ~ organization(skc16,skc13)
| ~ inertia(skc16,u,skc13)
| ~ size(skc16,skc11,skc13)
| greater(u,skf1(skc13,skc17)) ),
inference(res,[status(thm),theory(equality)],[8,140]),
[iquote('0:Res:8.0,140.1')] ).
cnf(144,plain,
( ~ inertia(skc16,u,skc13)
| greater(u,skf1(skc13,skc17)) ),
inference(mrr,[status(thm)],[142,3,5]),
[iquote('0:MRR:142.0,142.2,3.0,5.0')] ).
cnf(223,plain,
( ~ greater(u,skf1(skc13,skc17))
| ~ organization(skc17,skc13)
| ~ organization(skc16,skc13)
| ~ reorganization_type(skc17,v,skc13)
| ~ reorganization(skc17,skc13,w)
| ~ class(skc17,x,skc13)
| ~ class(skc16,x,skc13)
| ~ reorganization_type(skc16,v,skc13)
| ~ inertia(skc16,u,skc13)
| ~ reorganization(skc16,skc13,skc10)
| greater(skc10,w) ),
inference(res,[status(thm),theory(equality)],[31,28]),
[iquote('0:Res:31.0,28.3')] ).
cnf(230,plain,
( ~ reorganization_type(skc17,u,skc13)
| ~ reorganization(skc17,skc13,v)
| ~ class(skc17,w,skc13)
| ~ class(skc16,w,skc13)
| ~ reorganization_type(skc16,u,skc13)
| ~ inertia(skc16,x,skc13)
| greater(skc10,v) ),
inference(mrr,[status(thm)],[223,144,1,3,7]),
[iquote('0:MRR:223.0,223.1,223.2,223.9,144.1,1.0,3.0,7.0')] ).
cnf(255,plain,
( ~ reorganization(skc17,skc13,u)
| ~ class(skc17,v,skc13)
| ~ class(skc16,v,skc13)
| ~ reorganization_type(skc16,skc15,skc13)
| ~ inertia(skc16,w,skc13)
| greater(skc10,u) ),
inference(res,[status(thm),theory(equality)],[11,230]),
[iquote('0:Res:11.0,230.0')] ).
cnf(256,plain,
( ~ reorganization(skc17,skc13,u)
| ~ class(skc17,v,skc13)
| ~ class(skc16,v,skc13)
| ~ inertia(skc16,w,skc13)
| greater(skc10,u) ),
inference(mrr,[status(thm)],[255,6]),
[iquote('0:MRR:255.3,6.0')] ).
cnf(257,plain,
( ~ class(skc17,u,skc13)
| ~ class(skc16,u,skc13)
| ~ inertia(skc16,v,skc13)
| greater(skc10,skc9) ),
inference(res,[status(thm),theory(equality)],[10,256]),
[iquote('0:Res:10.0,256.0')] ).
cnf(258,plain,
( ~ class(skc17,u,skc13)
| ~ class(skc16,u,skc13)
| ~ inertia(skc16,v,skc13) ),
inference(mrr,[status(thm)],[257,13]),
[iquote('0:MRR:257.3,13.0')] ).
cnf(281,plain,
( ~ class(skc16,skc14,skc13)
| ~ inertia(skc16,u,skc13) ),
inference(res,[status(thm),theory(equality)],[9,258]),
[iquote('0:Res:9.0,258.0')] ).
cnf(282,plain,
~ inertia(skc16,u,skc13),
inference(mrr,[status(thm)],[281,8]),
[iquote('0:MRR:281.0,8.0')] ).
cnf(283,plain,
$false,
inference(unc,[status(thm)],[282,19]),
[iquote('0:UnC:282.0,19.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT017+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 08:12:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.37/0.53
% 0.37/0.53 SPASS V 3.9
% 0.37/0.53 SPASS beiseite: Proof found.
% 0.37/0.53 % SZS status Theorem
% 0.37/0.53 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.53 SPASS derived 172 clauses, backtracked 0 clauses, performed 0 splits and kept 156 clauses.
% 0.37/0.53 SPASS allocated 85540 KBytes.
% 0.37/0.53 SPASS spent 0:00:00.18 on the problem.
% 0.37/0.53 0:00:00.04 for the input.
% 0.37/0.53 0:00:00.04 for the FLOTTER CNF translation.
% 0.37/0.53 0:00:00.01 for inferences.
% 0.37/0.53 0:00:00.00 for the backtracking.
% 0.37/0.53 0:00:00.05 for the reduction.
% 0.37/0.53
% 0.37/0.53
% 0.37/0.53 Here is a proof with depth 5, length 34 :
% 0.37/0.53 % SZS output start Refutation
% See solution above
% 0.37/0.53 Formulae used in the proof : t17_FOL mp5 a5_FOL a13_FOL
% 0.37/0.53
%------------------------------------------------------------------------------