TSTP Solution File: MGT007+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT007+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 : Theorem 0.63s 0.81s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of clauses : 47 ( 14 unt; 19 nHn; 47 RR)
% Number of literals : 243 ( 0 equ; 168 neg)
% Maximal clause size : 11 ( 5 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(skc13,skc9),
file('MGT007+1.p',unknown),
[] ).
cnf(2,axiom,
organization(skc13,skc7),
file('MGT007+1.p',unknown),
[] ).
cnf(3,axiom,
greater(skc7,skc9),
file('MGT007+1.p',unknown),
[] ).
cnf(4,axiom,
reorganization(skc13,skc10,skc8),
file('MGT007+1.p',unknown),
[] ).
cnf(5,axiom,
reproducibility(skc13,skc12,skc9),
file('MGT007+1.p',unknown),
[] ).
cnf(6,axiom,
reproducibility(skc13,skc11,skc7),
file('MGT007+1.p',unknown),
[] ).
cnf(7,axiom,
~ greater(skc12,skc11),
file('MGT007+1.p',unknown),
[] ).
cnf(8,axiom,
~ greater(skc10,skc9),
file('MGT007+1.p',unknown),
[] ).
cnf(9,axiom,
~ greater(skc7,skc8),
file('MGT007+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ organization(u,v)
| reliability(u,skf3(v,u),v) ),
file('MGT007+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ organization(u,v)
| accountability(u,skf4(v,u),v) ),
file('MGT007+1.p',unknown),
[] ).
cnf(15,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(u,x3)
| greater(x2,v)
| greater(y,x) ),
file('MGT007+1.p',unknown),
[] ).
cnf(16,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(u,x3)
| greater(x2,v)
| greater(x1,z) ),
file('MGT007+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ organization(u,v)
| ~ organization(w,x)
| ~ greater(y,z)
| ~ greater(x1,x2)
| ~ reliability(u,x1,v)
| ~ accountability(u,y,v)
| ~ reproducibility(u,x3,v)
| ~ reproducibility(w,x4,x)
| ~ accountability(w,z,x)
| ~ reliability(w,x2,x)
| greater(x3,x4) ),
file('MGT007+1.p',unknown),
[] ).
cnf(22,plain,
( ~ organization(u,skc7)
| ~ organization(u,skc9)
| ~ reorganization(u,v,w)
| ~ accountability(u,x,skc7)
| ~ accountability(u,y,skc9)
| ~ reliability(u,z,skc7)
| ~ reliability(u,x1,skc9)
| greater(y,x)
| greater(v,skc9)
| greater(skc7,w) ),
inference(res,[status(thm),theory(equality)],[3,15]),
[iquote('0:Res:3.0,15.7')] ).
cnf(26,plain,
reliability(skc13,skf3(skc7,skc13),skc7),
inference(res,[status(thm),theory(equality)],[2,10]),
[iquote('0:Res:2.0,10.0')] ).
cnf(27,plain,
accountability(skc13,skf4(skc7,skc13),skc7),
inference(res,[status(thm),theory(equality)],[2,11]),
[iquote('0:Res:2.0,11.0')] ).
cnf(35,plain,
( ~ organization(u,v)
| ~ greater(w,x)
| ~ greater(y,z)
| ~ reliability(u,y,v)
| ~ accountability(u,w,v)
| ~ reproducibility(u,x1,v)
| ~ reproducibility(skc13,x2,skc7)
| ~ accountability(skc13,x,skc7)
| ~ reliability(skc13,z,skc7)
| greater(x1,x2) ),
inference(res,[status(thm),theory(equality)],[2,17]),
[iquote('0:Res:2.0,17.2')] ).
cnf(72,plain,
( ~ greater(skc7,u)
| ~ organization(skc13,skc7)
| ~ organization(skc13,u)
| ~ accountability(skc13,v,u)
| ~ reliability(skc13,w,skc7)
| ~ reliability(skc13,x,u)
| ~ reorganization(skc13,y,z)
| greater(skc7,z)
| greater(y,u)
| greater(x,w) ),
inference(res,[status(thm),theory(equality)],[27,16]),
[iquote('0:Res:27.0,16.3')] ).
cnf(74,plain,
( ~ greater(skc7,u)
| ~ organization(skc13,u)
| ~ accountability(skc13,v,u)
| ~ reliability(skc13,w,skc7)
| ~ reliability(skc13,x,u)
| ~ reorganization(skc13,y,z)
| greater(skc7,z)
| greater(y,u)
| greater(x,w) ),
inference(mrr,[status(thm)],[72,2]),
[iquote('0:MRR:72.1,2.0')] ).
cnf(112,plain,
( ~ organization(skc13,u)
| ~ greater(skc7,u)
| ~ organization(skc13,u)
| ~ reliability(skc13,v,skc7)
| ~ reliability(skc13,w,u)
| ~ reorganization(skc13,x,y)
| greater(skc7,y)
| greater(x,u)
| greater(w,v) ),
inference(res,[status(thm),theory(equality)],[11,74]),
[iquote('0:Res:11.1,74.2')] ).
cnf(114,plain,
( ~ greater(skc7,u)
| ~ organization(skc13,u)
| ~ reliability(skc13,v,skc7)
| ~ reliability(skc13,w,u)
| ~ reorganization(skc13,x,y)
| greater(skc7,y)
| greater(x,u)
| greater(w,v) ),
inference(obv,[status(thm),theory(equality)],[112]),
[iquote('0:Obv:112.0')] ).
cnf(140,plain,
( ~ greater(skc7,u)
| ~ organization(skc13,u)
| ~ reliability(skc13,v,u)
| ~ reorganization(skc13,w,x)
| greater(skc7,x)
| greater(w,u)
| greater(v,skf3(skc7,skc13)) ),
inference(res,[status(thm),theory(equality)],[26,114]),
[iquote('0:Res:26.0,114.2')] ).
cnf(143,plain,
( ~ organization(skc13,u)
| ~ greater(skc7,u)
| ~ organization(skc13,u)
| ~ reorganization(skc13,v,w)
| greater(skc7,w)
| greater(v,u)
| greater(skf3(u,skc13),skf3(skc7,skc13)) ),
inference(res,[status(thm),theory(equality)],[10,140]),
[iquote('0:Res:10.1,140.2')] ).
cnf(145,plain,
( ~ greater(skc7,u)
| ~ organization(skc13,u)
| ~ reorganization(skc13,v,w)
| greater(skc7,w)
| greater(v,u)
| greater(skf3(u,skc13),skf3(skc7,skc13)) ),
inference(obv,[status(thm),theory(equality)],[143]),
[iquote('0:Obv:143.0')] ).
cnf(151,plain,
( ~ greater(skc7,u)
| ~ organization(skc13,u)
| greater(skc7,skc8)
| greater(skc10,u)
| greater(skf3(u,skc13),skf3(skc7,skc13)) ),
inference(res,[status(thm),theory(equality)],[4,145]),
[iquote('0:Res:4.0,145.2')] ).
cnf(152,plain,
( ~ greater(skc7,u)
| ~ organization(skc13,u)
| greater(skc10,u)
| greater(skf3(u,skc13),skf3(skc7,skc13)) ),
inference(mrr,[status(thm)],[151,9]),
[iquote('0:MRR:151.2,9.0')] ).
cnf(199,plain,
( ~ organization(skc13,skc7)
| ~ organization(skc13,skc9)
| ~ accountability(skc13,u,skc7)
| ~ accountability(skc13,v,skc9)
| ~ reliability(skc13,w,skc7)
| ~ reliability(skc13,x,skc9)
| greater(v,u)
| greater(skc10,skc9)
| greater(skc7,skc8) ),
inference(res,[status(thm),theory(equality)],[4,22]),
[iquote('0:Res:4.0,22.2')] ).
cnf(200,plain,
( ~ accountability(skc13,u,skc7)
| ~ accountability(skc13,v,skc9)
| ~ reliability(skc13,w,skc7)
| ~ reliability(skc13,x,skc9)
| greater(v,u) ),
inference(mrr,[status(thm)],[199,2,1,8,9]),
[iquote('0:MRR:199.0,199.1,199.7,199.8,2.0,1.0,8.0,9.0')] ).
cnf(201,plain,
( ~ accountability(skc13,u,skc9)
| ~ reliability(skc13,v,skc7)
| ~ reliability(skc13,w,skc9)
| greater(u,skf4(skc7,skc13)) ),
inference(res,[status(thm),theory(equality)],[27,200]),
[iquote('0:Res:27.0,200.0')] ).
cnf(203,plain,
( ~ organization(skc13,skc9)
| ~ reliability(skc13,u,skc7)
| ~ reliability(skc13,v,skc9)
| greater(skf4(skc9,skc13),skf4(skc7,skc13)) ),
inference(res,[status(thm),theory(equality)],[11,201]),
[iquote('0:Res:11.1,201.0')] ).
cnf(204,plain,
( ~ reliability(skc13,u,skc7)
| ~ reliability(skc13,v,skc9)
| greater(skf4(skc9,skc13),skf4(skc7,skc13)) ),
inference(mrr,[status(thm)],[203,1]),
[iquote('0:MRR:203.0,1.0')] ).
cnf(205,plain,
( ~ reliability(skc13,u,skc9)
| greater(skf4(skc9,skc13),skf4(skc7,skc13)) ),
inference(res,[status(thm),theory(equality)],[26,204]),
[iquote('0:Res:26.0,204.0')] ).
cnf(207,plain,
( ~ organization(skc13,skc9)
| greater(skf4(skc9,skc13),skf4(skc7,skc13)) ),
inference(res,[status(thm),theory(equality)],[10,205]),
[iquote('0:Res:10.1,205.0')] ).
cnf(208,plain,
greater(skf4(skc9,skc13),skf4(skc7,skc13)),
inference(mrr,[status(thm)],[207,1]),
[iquote('0:MRR:207.0,1.0')] ).
cnf(258,plain,
( ~ organization(u,v)
| ~ organization(u,v)
| ~ greater(w,x)
| ~ greater(skf3(v,u),y)
| ~ accountability(u,w,v)
| ~ reproducibility(u,z,v)
| ~ reproducibility(skc13,x1,skc7)
| ~ accountability(skc13,x,skc7)
| ~ reliability(skc13,y,skc7)
| greater(z,x1) ),
inference(res,[status(thm),theory(equality)],[10,35]),
[iquote('0:Res:10.1,35.3')] ).
cnf(259,plain,
( ~ organization(u,v)
| ~ greater(w,x)
| ~ greater(skf3(v,u),y)
| ~ accountability(u,w,v)
| ~ reproducibility(u,z,v)
| ~ reproducibility(skc13,x1,skc7)
| ~ accountability(skc13,x,skc7)
| ~ reliability(skc13,y,skc7)
| greater(z,x1) ),
inference(obv,[status(thm),theory(equality)],[258]),
[iquote('0:Obv:258.0')] ).
cnf(637,plain,
( ~ greater(skc7,u)
| ~ organization(skc13,u)
| ~ organization(skc13,u)
| ~ greater(v,w)
| ~ accountability(skc13,v,u)
| ~ reproducibility(skc13,x,u)
| ~ reproducibility(skc13,y,skc7)
| ~ accountability(skc13,w,skc7)
| ~ reliability(skc13,skf3(skc7,skc13),skc7)
| greater(skc10,u)
| greater(x,y) ),
inference(res,[status(thm),theory(equality)],[152,259]),
[iquote('0:Res:152.3,259.2')] ).
cnf(657,plain,
( ~ greater(skc7,u)
| ~ organization(skc13,u)
| ~ greater(v,w)
| ~ accountability(skc13,v,u)
| ~ reproducibility(skc13,x,u)
| ~ reproducibility(skc13,y,skc7)
| ~ accountability(skc13,w,skc7)
| ~ reliability(skc13,skf3(skc7,skc13),skc7)
| greater(skc10,u)
| greater(x,y) ),
inference(obv,[status(thm),theory(equality)],[637]),
[iquote('0:Obv:637.1')] ).
cnf(658,plain,
( ~ greater(skc7,u)
| ~ organization(skc13,u)
| ~ greater(v,w)
| ~ accountability(skc13,v,u)
| ~ reproducibility(skc13,x,u)
| ~ reproducibility(skc13,y,skc7)
| ~ accountability(skc13,w,skc7)
| greater(skc10,u)
| greater(x,y) ),
inference(mrr,[status(thm)],[657,26]),
[iquote('0:MRR:657.7,26.0')] ).
cnf(917,plain,
( ~ organization(skc13,u)
| ~ greater(skc7,u)
| ~ organization(skc13,u)
| ~ greater(skf4(u,skc13),v)
| ~ reproducibility(skc13,w,u)
| ~ reproducibility(skc13,x,skc7)
| ~ accountability(skc13,v,skc7)
| greater(skc10,u)
| greater(w,x) ),
inference(res,[status(thm),theory(equality)],[11,658]),
[iquote('0:Res:11.1,658.3')] ).
cnf(918,plain,
( ~ greater(skc7,u)
| ~ organization(skc13,u)
| ~ greater(skf4(u,skc13),v)
| ~ reproducibility(skc13,w,u)
| ~ reproducibility(skc13,x,skc7)
| ~ accountability(skc13,v,skc7)
| greater(skc10,u)
| greater(w,x) ),
inference(obv,[status(thm),theory(equality)],[917]),
[iquote('0:Obv:917.0')] ).
cnf(926,plain,
( ~ greater(skc7,skc9)
| ~ organization(skc13,skc9)
| ~ reproducibility(skc13,u,skc9)
| ~ reproducibility(skc13,v,skc7)
| ~ accountability(skc13,skf4(skc7,skc13),skc7)
| greater(skc10,skc9)
| greater(u,v) ),
inference(res,[status(thm),theory(equality)],[208,918]),
[iquote('0:Res:208.0,918.2')] ).
cnf(933,plain,
( ~ reproducibility(skc13,u,skc9)
| ~ reproducibility(skc13,v,skc7)
| greater(u,v) ),
inference(mrr,[status(thm)],[926,3,1,27,8]),
[iquote('0:MRR:926.0,926.1,926.4,926.5,3.0,1.0,27.0,8.0')] ).
cnf(944,plain,
( ~ reproducibility(skc13,u,skc7)
| greater(skc12,u) ),
inference(res,[status(thm),theory(equality)],[5,933]),
[iquote('0:Res:5.0,933.0')] ).
cnf(949,plain,
greater(skc12,skc11),
inference(res,[status(thm),theory(equality)],[6,944]),
[iquote('0:Res:6.0,944.0')] ).
cnf(952,plain,
$false,
inference(mrr,[status(thm)],[949,7]),
[iquote('0:MRR:949.0,7.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT007+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 9 07:43:20 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.63/0.81
% 0.63/0.81 SPASS V 3.9
% 0.63/0.81 SPASS beiseite: Proof found.
% 0.63/0.81 % SZS status Theorem
% 0.63/0.81 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.63/0.81 SPASS derived 668 clauses, backtracked 0 clauses, performed 5 splits and kept 404 clauses.
% 0.63/0.81 SPASS allocated 86358 KBytes.
% 0.63/0.81 SPASS spent 0:00:00.45 on the problem.
% 0.63/0.81 0:00:00.04 for the input.
% 0.63/0.81 0:00:00.04 for the FLOTTER CNF translation.
% 0.63/0.81 0:00:00.03 for inferences.
% 0.63/0.81 0:00:00.00 for the backtracking.
% 0.63/0.81 0:00:00.30 for the reduction.
% 0.63/0.81
% 0.63/0.81
% 0.63/0.81 Here is a proof with depth 11, length 47 :
% 0.63/0.81 % SZS output start Refutation
% See solution above
% 0.63/0.81 Formulae used in the proof : t7_FOL mp1 mp2 a6_FOL a2_FOL
% 0.63/0.81
%------------------------------------------------------------------------------