TSTP Solution File: MGT004-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT004-1 : TPTP v8.1.0. Released v2.4.0.
% 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 22:26:07 EDT 2022
% Result : Unsatisfiable 0.20s 0.45s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of clauses : 44 ( 17 unt; 13 nHn; 44 RR)
% Number of literals : 176 ( 0 equ; 119 neg)
% Maximal clause size : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ organization(u,v)
| reliability(u,sk1(v,u),v) ),
file('MGT004-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ organization(u,v)
| accountability(u,sk2(v,u),v) ),
file('MGT004-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ greater(u,v)
| ~ greater(w,x)
| ~ organization(y,z)
| ~ organization(x1,x2)
| ~ survival_chance(y,x3,z)
| ~ survival_chance(x1,x4,x2)
| ~ accountability(y,u,z)
| ~ accountability(x1,v,x2)
| ~ reliability(y,w,z)
| ~ reliability(x1,x,x2)
| greater(x3,x4) ),
file('MGT004-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ greater(u,v)
| ~ organization(w,u)
| ~ organization(w,v)
| ~ accountability(w,x,u)
| ~ accountability(w,y,v)
| ~ reliability(w,z,u)
| ~ reliability(w,x1,v)
| ~ reorganization(w,x2,x3)
| greater(x1,z)
| greater(u,x3)
| greater(x2,v) ),
file('MGT004-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ greater(u,v)
| ~ organization(w,u)
| ~ organization(w,v)
| ~ accountability(w,x,u)
| ~ accountability(w,y,v)
| ~ reliability(w,z,u)
| ~ reliability(w,x1,v)
| ~ reorganization(w,x2,x3)
| greater(y,x)
| greater(u,x3)
| greater(x2,v) ),
file('MGT004-1.p',unknown),
[] ).
cnf(6,axiom,
organization(sk3,sk6),
file('MGT004-1.p',unknown),
[] ).
cnf(7,axiom,
organization(sk3,sk7),
file('MGT004-1.p',unknown),
[] ).
cnf(8,axiom,
reorganization(sk3,sk8,sk9),
file('MGT004-1.p',unknown),
[] ).
cnf(9,axiom,
survival_chance(sk3,sk4,sk6),
file('MGT004-1.p',unknown),
[] ).
cnf(10,axiom,
survival_chance(sk3,sk5,sk7),
file('MGT004-1.p',unknown),
[] ).
cnf(11,axiom,
~ greater(sk8,sk6),
file('MGT004-1.p',unknown),
[] ).
cnf(12,axiom,
greater(sk7,sk6),
file('MGT004-1.p',unknown),
[] ).
cnf(13,axiom,
~ greater(sk7,sk9),
file('MGT004-1.p',unknown),
[] ).
cnf(14,axiom,
~ greater(sk4,sk5),
file('MGT004-1.p',unknown),
[] ).
cnf(22,plain,
reliability(sk3,sk1(sk7,sk3),sk7),
inference(res,[status(thm),theory(equality)],[7,1]),
[iquote('0:Res:7.0,1.0')] ).
cnf(23,plain,
accountability(sk3,sk2(sk7,sk3),sk7),
inference(res,[status(thm),theory(equality)],[7,2]),
[iquote('0:Res:7.0,2.0')] ).
cnf(24,plain,
( ~ greater(sk7,u)
| ~ organization(sk3,u)
| ~ accountability(sk3,v,u)
| ~ reliability(sk3,w,u)
| ~ reorganization(sk3,x,y)
| ~ accountability(sk3,z,sk7)
| ~ reliability(sk3,x1,sk7)
| greater(v,z)
| greater(x,u)
| greater(sk7,y) ),
inference(res,[status(thm),theory(equality)],[7,5]),
[iquote('0:Res:7.0,5.1')] ).
cnf(30,plain,
reliability(sk3,sk1(sk6,sk3),sk6),
inference(res,[status(thm),theory(equality)],[6,1]),
[iquote('0:Res:6.0,1.0')] ).
cnf(31,plain,
accountability(sk3,sk2(sk6,sk3),sk6),
inference(res,[status(thm),theory(equality)],[6,2]),
[iquote('0:Res:6.0,2.0')] ).
cnf(36,plain,
( ~ greater(sk7,sk6)
| ~ organization(sk3,sk6)
| ~ reliability(sk3,u,sk6)
| ~ reorganization(sk3,v,w)
| ~ accountability(sk3,x,sk7)
| ~ reliability(sk3,y,sk7)
| greater(sk2(sk6,sk3),x)
| greater(v,sk6)
| greater(sk7,w) ),
inference(res,[status(thm),theory(equality)],[31,24]),
[iquote('0:Res:31.0,24.2')] ).
cnf(40,plain,
( ~ reliability(sk3,u,sk6)
| ~ reorganization(sk3,v,w)
| ~ accountability(sk3,x,sk7)
| ~ reliability(sk3,y,sk7)
| greater(sk2(sk6,sk3),x)
| greater(v,sk6)
| greater(sk7,w) ),
inference(mrr,[status(thm)],[36,12,6]),
[iquote('0:MRR:36.0,36.1,12.0,6.0')] ).
cnf(45,plain,
( ~ reorganization(sk3,u,v)
| greater(u,sk6)
| greater(sk7,v) ),
inference(spt,[spt(split,[position(s1)])],[40]),
[iquote('1:Spt:40.1,40.5,40.6')] ).
cnf(46,plain,
( greater(sk8,sk6)
| greater(sk7,sk9) ),
inference(res,[status(thm),theory(equality)],[8,45]),
[iquote('1:Res:8.0,45.0')] ).
cnf(47,plain,
$false,
inference(mrr,[status(thm)],[46,11,13]),
[iquote('1:MRR:46.0,46.1,11.0,13.0')] ).
cnf(48,plain,
( ~ reliability(sk3,u,sk6)
| ~ accountability(sk3,v,sk7)
| ~ reliability(sk3,w,sk7)
| greater(sk2(sk6,sk3),v) ),
inference(spt,[spt(split,[position(s2)])],[40]),
[iquote('1:Spt:47.0,40.0,40.2,40.3,40.4')] ).
cnf(49,plain,
( ~ accountability(sk3,u,sk7)
| ~ reliability(sk3,v,sk7)
| greater(sk2(sk6,sk3),u) ),
inference(res,[status(thm),theory(equality)],[30,48]),
[iquote('1:Res:30.0,48.0')] ).
cnf(67,plain,
( ~ greater(sk7,u)
| ~ organization(sk3,sk7)
| ~ organization(sk3,u)
| ~ accountability(sk3,v,u)
| ~ reliability(sk3,w,sk7)
| ~ reliability(sk3,x,u)
| ~ reorganization(sk3,y,z)
| greater(x,w)
| greater(sk7,z)
| greater(y,u) ),
inference(res,[status(thm),theory(equality)],[23,4]),
[iquote('0:Res:23.0,4.3')] ).
cnf(68,plain,
( ~ greater(sk7,u)
| ~ organization(sk3,u)
| ~ accountability(sk3,v,u)
| ~ reliability(sk3,w,sk7)
| ~ reliability(sk3,x,u)
| ~ reorganization(sk3,y,z)
| greater(x,w)
| greater(sk7,z)
| greater(y,u) ),
inference(mrr,[status(thm)],[67,7]),
[iquote('0:MRR:67.1,7.0')] ).
cnf(78,plain,
( ~ greater(u,v)
| ~ greater(w,x)
| ~ organization(sk3,sk6)
| ~ organization(y,z)
| ~ survival_chance(y,x1,z)
| ~ accountability(sk3,u,sk6)
| ~ accountability(y,v,z)
| ~ reliability(sk3,w,sk6)
| ~ reliability(y,x,z)
| greater(sk4,x1) ),
inference(res,[status(thm),theory(equality)],[9,3]),
[iquote('0:Res:9.0,3.4')] ).
cnf(79,plain,
( ~ greater(u,v)
| ~ greater(w,x)
| ~ organization(y,z)
| ~ survival_chance(y,x1,z)
| ~ accountability(sk3,u,sk6)
| ~ accountability(y,v,z)
| ~ reliability(sk3,w,sk6)
| ~ reliability(y,x,z)
| greater(sk4,x1) ),
inference(mrr,[status(thm)],[78,6]),
[iquote('0:MRR:78.2,6.0')] ).
cnf(82,plain,
( ~ greater(sk7,sk6)
| ~ organization(sk3,sk6)
| ~ reliability(sk3,u,sk7)
| ~ reliability(sk3,v,sk6)
| ~ reorganization(sk3,w,x)
| greater(v,u)
| greater(sk7,x)
| greater(w,sk6) ),
inference(res,[status(thm),theory(equality)],[31,68]),
[iquote('0:Res:31.0,68.2')] ).
cnf(84,plain,
( ~ reliability(sk3,u,sk7)
| ~ reliability(sk3,v,sk6)
| ~ reorganization(sk3,w,x)
| greater(v,u)
| greater(sk7,x)
| greater(w,sk6) ),
inference(mrr,[status(thm)],[82,12,6]),
[iquote('0:MRR:82.0,82.1,12.0,6.0')] ).
cnf(86,plain,
( ~ reliability(sk3,u,sk7)
| ~ reliability(sk3,v,sk6)
| greater(v,u) ),
inference(spt,[spt(split,[position(s2s1)])],[84]),
[iquote('2:Spt:84.0,84.1,84.3')] ).
cnf(91,plain,
( ~ greater(u,v)
| ~ greater(w,x)
| ~ organization(sk3,sk7)
| ~ accountability(sk3,u,sk6)
| ~ accountability(sk3,v,sk7)
| ~ reliability(sk3,w,sk6)
| ~ reliability(sk3,x,sk7)
| greater(sk4,sk5) ),
inference(res,[status(thm),theory(equality)],[10,79]),
[iquote('0:Res:10.0,79.3')] ).
cnf(94,plain,
( ~ greater(u,v)
| ~ accountability(sk3,u,sk6)
| ~ accountability(sk3,v,sk7)
| ~ reliability(sk3,w,sk6)
| ~ reliability(sk3,x,sk7) ),
inference(mrr,[status(thm)],[91,86,7,14]),
[iquote('2:MRR:91.1,91.2,91.7,86.2,7.0,14.0')] ).
cnf(96,plain,
( ~ greater(sk2(sk6,sk3),u)
| ~ accountability(sk3,u,sk7)
| ~ reliability(sk3,v,sk6)
| ~ reliability(sk3,w,sk7) ),
inference(res,[status(thm),theory(equality)],[31,94]),
[iquote('2:Res:31.0,94.1')] ).
cnf(97,plain,
( ~ accountability(sk3,u,sk7)
| ~ reliability(sk3,v,sk6)
| ~ reliability(sk3,w,sk7) ),
inference(mrr,[status(thm)],[96,49]),
[iquote('2:MRR:96.0,49.2')] ).
cnf(99,plain,
( ~ reliability(sk3,u,sk6)
| ~ reliability(sk3,v,sk7) ),
inference(res,[status(thm),theory(equality)],[23,97]),
[iquote('2:Res:23.0,97.0')] ).
cnf(101,plain,
( ~ organization(sk3,sk6)
| ~ reliability(sk3,u,sk7) ),
inference(res,[status(thm),theory(equality)],[1,99]),
[iquote('2:Res:1.1,99.0')] ).
cnf(103,plain,
~ reliability(sk3,u,sk7),
inference(mrr,[status(thm)],[101,6]),
[iquote('2:MRR:101.0,6.0')] ).
cnf(104,plain,
$false,
inference(unc,[status(thm)],[103,22]),
[iquote('2:UnC:103.0,22.0')] ).
cnf(105,plain,
( ~ reorganization(sk3,u,v)
| greater(sk7,v)
| greater(u,sk6) ),
inference(spt,[spt(split,[position(s2s2)])],[84]),
[iquote('2:Spt:104.0,84.2,84.4,84.5')] ).
cnf(107,plain,
( greater(sk7,sk9)
| greater(sk8,sk6) ),
inference(res,[status(thm),theory(equality)],[8,105]),
[iquote('2:Res:8.0,105.0')] ).
cnf(108,plain,
$false,
inference(mrr,[status(thm)],[107,13,11]),
[iquote('2:MRR:107.0,107.1,13.0,11.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT004-1 : TPTP v8.1.0. Released v2.4.0.
% 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 08:23:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45
% 0.20/0.45 SPASS V 3.9
% 0.20/0.45 SPASS beiseite: Proof found.
% 0.20/0.45 % SZS status Theorem
% 0.20/0.45 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 SPASS derived 66 clauses, backtracked 3 clauses, performed 3 splits and kept 71 clauses.
% 0.20/0.45 SPASS allocated 63268 KBytes.
% 0.20/0.45 SPASS spent 0:00:00.09 on the problem.
% 0.20/0.45 0:00:00.04 for the input.
% 0.20/0.45 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.45 0:00:00.00 for inferences.
% 0.20/0.45 0:00:00.00 for the backtracking.
% 0.20/0.45 0:00:00.02 for the reduction.
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 Here is a proof with depth 5, length 44 :
% 0.20/0.45 % SZS output start Refutation
% See solution above
% 0.20/0.45 Formulae used in the proof : mp1_1 mp2_2 a1_FOL_3 a6_FOL_4 a6_FOL_5 t4_FOL_6 t4_FOL_7 t4_FOL_8 t4_FOL_9 t4_FOL_10 t4_FOL_11 t4_FOL_12 t4_FOL_13 t4_FOL_14
% 0.20/0.45
%------------------------------------------------------------------------------