TSTP Solution File: MGT006-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT006-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 22:26:08 EDT 2022
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of clauses : 43 ( 13 unt; 0 nHn; 43 RR)
% Number of literals : 191 ( 0 equ; 150 neg)
% Maximal clause size : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 17 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ organization(u,v)
| reproducibility(u,sk1(v,u),v) ),
file('MGT006-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ greater(u,v)
| ~ organization(w,x)
| ~ organization(y,z)
| ~ reproducibility(w,u,x)
| ~ reproducibility(y,v,z)
| ~ accountability(w,x1,x)
| ~ accountability(y,x2,z)
| ~ reliability(w,x3,x)
| ~ reliability(y,x4,z)
| greater(x3,x4) ),
file('MGT006-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ greater(u,v)
| ~ organization(w,x)
| ~ organization(y,z)
| ~ reproducibility(w,u,x)
| ~ reproducibility(y,v,z)
| ~ accountability(w,x1,x)
| ~ accountability(y,x2,z)
| ~ reliability(w,x3,x)
| ~ reliability(y,x4,z)
| greater(x1,x2) ),
file('MGT006-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ greater(u,v)
| ~ organization(w,u)
| ~ organization(w,v)
| ~ reproducibility(w,x,u)
| ~ reproducibility(w,y,v)
| ~ reorganization_free(w,v,u)
| greater(x,y) ),
file('MGT006-1.p',unknown),
[] ).
cnf(6,axiom,
organization(sk2,sk7),
file('MGT006-1.p',unknown),
[] ).
cnf(7,axiom,
organization(sk2,sk8),
file('MGT006-1.p',unknown),
[] ).
cnf(8,axiom,
reorganization_free(sk2,sk7,sk8),
file('MGT006-1.p',unknown),
[] ).
cnf(9,axiom,
reliability(sk2,sk3,sk7),
file('MGT006-1.p',unknown),
[] ).
cnf(10,axiom,
reliability(sk2,sk4,sk8),
file('MGT006-1.p',unknown),
[] ).
cnf(11,axiom,
accountability(sk2,sk5,sk7),
file('MGT006-1.p',unknown),
[] ).
cnf(12,axiom,
accountability(sk2,sk6,sk8),
file('MGT006-1.p',unknown),
[] ).
cnf(13,axiom,
greater(sk8,sk7),
file('MGT006-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ greater(sk6,sk5)
| ~ greater(sk4,sk3) ),
file('MGT006-1.p',unknown),
[] ).
cnf(15,plain,
( ~ organization(u,sk8)
| ~ organization(u,sk7)
| ~ reproducibility(u,v,sk8)
| ~ reproducibility(u,w,sk7)
| ~ reorganization_free(u,sk7,sk8)
| greater(v,w) ),
inference(res,[status(thm),theory(equality)],[13,5]),
[iquote('0:Res:13.0,5.5')] ).
cnf(24,plain,
reproducibility(sk2,sk1(sk8,sk2),sk8),
inference(res,[status(thm),theory(equality)],[7,1]),
[iquote('0:Res:7.0,1.0')] ).
cnf(45,plain,
( ~ greater(sk1(sk8,sk2),u)
| ~ organization(sk2,sk8)
| ~ organization(v,w)
| ~ reproducibility(v,u,w)
| ~ accountability(sk2,x,sk8)
| ~ accountability(v,y,w)
| ~ reliability(sk2,z,sk8)
| ~ reliability(v,x1,w)
| greater(x,y) ),
inference(res,[status(thm),theory(equality)],[24,3]),
[iquote('0:Res:24.0,3.3')] ).
cnf(47,plain,
( ~ greater(sk1(sk8,sk2),u)
| ~ organization(v,w)
| ~ reproducibility(v,u,w)
| ~ accountability(sk2,x,sk8)
| ~ accountability(v,y,w)
| ~ reliability(sk2,z,sk8)
| ~ reliability(v,x1,w)
| greater(x,y) ),
inference(mrr,[status(thm)],[45,7]),
[iquote('0:MRR:45.1,7.0')] ).
cnf(49,plain,
( ~ organization(sk2,sk8)
| ~ organization(sk2,sk7)
| ~ reproducibility(sk2,u,sk7)
| ~ reorganization_free(sk2,sk7,sk8)
| greater(sk1(sk8,sk2),u) ),
inference(res,[status(thm),theory(equality)],[24,15]),
[iquote('0:Res:24.0,15.2')] ).
cnf(51,plain,
( ~ reproducibility(sk2,u,sk7)
| greater(sk1(sk8,sk2),u) ),
inference(mrr,[status(thm)],[49,7,6,8]),
[iquote('0:MRR:49.0,49.1,49.3,7.0,6.0,8.0')] ).
cnf(53,plain,
( ~ greater(sk1(sk8,sk2),u)
| ~ organization(sk2,sk8)
| ~ organization(v,w)
| ~ reproducibility(v,u,w)
| ~ accountability(sk2,x,sk8)
| ~ accountability(v,y,w)
| ~ reliability(sk2,z,sk8)
| ~ reliability(v,x1,w)
| greater(z,x1) ),
inference(res,[status(thm),theory(equality)],[24,2]),
[iquote('0:Res:24.0,2.3')] ).
cnf(55,plain,
( ~ greater(sk1(sk8,sk2),u)
| ~ organization(v,w)
| ~ reproducibility(v,u,w)
| ~ accountability(sk2,x,sk8)
| ~ accountability(v,y,w)
| ~ reliability(sk2,z,sk8)
| ~ reliability(v,x1,w)
| greater(z,x1) ),
inference(mrr,[status(thm)],[53,7]),
[iquote('0:MRR:53.1,7.0')] ).
cnf(65,plain,
( ~ reproducibility(sk2,u,sk7)
| ~ organization(v,w)
| ~ reproducibility(v,u,w)
| ~ accountability(sk2,x,sk8)
| ~ accountability(v,y,w)
| ~ reliability(sk2,z,sk8)
| ~ reliability(v,x1,w)
| greater(x,y) ),
inference(res,[status(thm),theory(equality)],[51,47]),
[iquote('0:Res:51.1,47.0')] ).
cnf(75,plain,
( ~ organization(sk2,sk7)
| ~ organization(u,v)
| ~ reproducibility(u,sk1(sk7,sk2),v)
| ~ accountability(sk2,w,sk8)
| ~ accountability(u,x,v)
| ~ reliability(sk2,y,sk8)
| ~ reliability(u,z,v)
| greater(w,x) ),
inference(res,[status(thm),theory(equality)],[1,65]),
[iquote('0:Res:1.1,65.0')] ).
cnf(76,plain,
( ~ organization(u,v)
| ~ reproducibility(u,sk1(sk7,sk2),v)
| ~ accountability(sk2,w,sk8)
| ~ accountability(u,x,v)
| ~ reliability(sk2,y,sk8)
| ~ reliability(u,z,v)
| greater(w,x) ),
inference(mrr,[status(thm)],[75,6]),
[iquote('0:MRR:75.0,6.0')] ).
cnf(77,plain,
( ~ organization(sk2,sk7)
| ~ organization(sk2,sk7)
| ~ accountability(sk2,u,sk8)
| ~ accountability(sk2,v,sk7)
| ~ reliability(sk2,w,sk8)
| ~ reliability(sk2,x,sk7)
| greater(u,v) ),
inference(res,[status(thm),theory(equality)],[1,76]),
[iquote('0:Res:1.1,76.1')] ).
cnf(78,plain,
( ~ organization(sk2,sk7)
| ~ accountability(sk2,u,sk8)
| ~ accountability(sk2,v,sk7)
| ~ reliability(sk2,w,sk8)
| ~ reliability(sk2,x,sk7)
| greater(u,v) ),
inference(obv,[status(thm),theory(equality)],[77]),
[iquote('0:Obv:77.0')] ).
cnf(79,plain,
( ~ accountability(sk2,u,sk8)
| ~ accountability(sk2,v,sk7)
| ~ reliability(sk2,w,sk8)
| ~ reliability(sk2,x,sk7)
| greater(u,v) ),
inference(mrr,[status(thm)],[78,6]),
[iquote('0:MRR:78.0,6.0')] ).
cnf(80,plain,
( ~ accountability(sk2,u,sk7)
| ~ reliability(sk2,v,sk8)
| ~ reliability(sk2,w,sk7)
| greater(sk6,u) ),
inference(res,[status(thm),theory(equality)],[12,79]),
[iquote('0:Res:12.0,79.0')] ).
cnf(86,plain,
( ~ reliability(sk2,u,sk8)
| ~ reliability(sk2,v,sk7)
| greater(sk6,sk5) ),
inference(res,[status(thm),theory(equality)],[11,80]),
[iquote('0:Res:11.0,80.0')] ).
cnf(87,plain,
( ~ reliability(sk2,u,sk7)
| greater(sk6,sk5) ),
inference(res,[status(thm),theory(equality)],[10,86]),
[iquote('0:Res:10.0,86.0')] ).
cnf(88,plain,
greater(sk6,sk5),
inference(res,[status(thm),theory(equality)],[9,87]),
[iquote('0:Res:9.0,87.0')] ).
cnf(89,plain,
~ greater(sk4,sk3),
inference(mrr,[status(thm)],[14,88]),
[iquote('0:MRR:14.0,88.0')] ).
cnf(175,plain,
( ~ reproducibility(sk2,u,sk7)
| ~ organization(v,w)
| ~ reproducibility(v,u,w)
| ~ accountability(sk2,x,sk8)
| ~ accountability(v,y,w)
| ~ reliability(sk2,z,sk8)
| ~ reliability(v,x1,w)
| greater(z,x1) ),
inference(res,[status(thm),theory(equality)],[51,55]),
[iquote('0:Res:51.1,55.0')] ).
cnf(185,plain,
( ~ organization(sk2,sk7)
| ~ organization(u,v)
| ~ reproducibility(u,sk1(sk7,sk2),v)
| ~ accountability(sk2,w,sk8)
| ~ accountability(u,x,v)
| ~ reliability(sk2,y,sk8)
| ~ reliability(u,z,v)
| greater(y,z) ),
inference(res,[status(thm),theory(equality)],[1,175]),
[iquote('0:Res:1.1,175.0')] ).
cnf(186,plain,
( ~ organization(u,v)
| ~ reproducibility(u,sk1(sk7,sk2),v)
| ~ accountability(sk2,w,sk8)
| ~ accountability(u,x,v)
| ~ reliability(sk2,y,sk8)
| ~ reliability(u,z,v)
| greater(y,z) ),
inference(mrr,[status(thm)],[185,6]),
[iquote('0:MRR:185.0,6.0')] ).
cnf(260,plain,
( ~ organization(sk2,sk7)
| ~ organization(sk2,sk7)
| ~ accountability(sk2,u,sk8)
| ~ accountability(sk2,v,sk7)
| ~ reliability(sk2,w,sk8)
| ~ reliability(sk2,x,sk7)
| greater(w,x) ),
inference(res,[status(thm),theory(equality)],[1,186]),
[iquote('0:Res:1.1,186.1')] ).
cnf(261,plain,
( ~ organization(sk2,sk7)
| ~ accountability(sk2,u,sk8)
| ~ accountability(sk2,v,sk7)
| ~ reliability(sk2,w,sk8)
| ~ reliability(sk2,x,sk7)
| greater(w,x) ),
inference(obv,[status(thm),theory(equality)],[260]),
[iquote('0:Obv:260.0')] ).
cnf(262,plain,
( ~ accountability(sk2,u,sk8)
| ~ accountability(sk2,v,sk7)
| ~ reliability(sk2,w,sk8)
| ~ reliability(sk2,x,sk7)
| greater(w,x) ),
inference(mrr,[status(thm)],[261,6]),
[iquote('0:MRR:261.0,6.0')] ).
cnf(267,plain,
( ~ accountability(sk2,u,sk7)
| ~ reliability(sk2,v,sk8)
| ~ reliability(sk2,w,sk7)
| greater(v,w) ),
inference(res,[status(thm),theory(equality)],[12,262]),
[iquote('0:Res:12.0,262.0')] ).
cnf(268,plain,
( ~ reliability(sk2,u,sk8)
| ~ reliability(sk2,v,sk7)
| greater(u,v) ),
inference(res,[status(thm),theory(equality)],[11,267]),
[iquote('0:Res:11.0,267.0')] ).
cnf(269,plain,
( ~ reliability(sk2,u,sk7)
| greater(sk4,u) ),
inference(res,[status(thm),theory(equality)],[10,268]),
[iquote('0:Res:10.0,268.0')] ).
cnf(270,plain,
greater(sk4,sk3),
inference(res,[status(thm),theory(equality)],[9,269]),
[iquote('0:Res:9.0,269.0')] ).
cnf(271,plain,
$false,
inference(mrr,[status(thm)],[270,89]),
[iquote('0:MRR:270.0,89.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT006-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.11 % Command : run_spass %d %s
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Thu Jun 9 08:41:38 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.18/0.47
% 0.18/0.47 SPASS V 3.9
% 0.18/0.47 SPASS beiseite: Proof found.
% 0.18/0.47 % SZS status Theorem
% 0.18/0.47 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47 SPASS derived 173 clauses, backtracked 0 clauses, performed 0 splits and kept 127 clauses.
% 0.18/0.47 SPASS allocated 63492 KBytes.
% 0.18/0.47 SPASS spent 0:00:00.13 on the problem.
% 0.18/0.47 0:00:00.04 for the input.
% 0.18/0.47 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.47 0:00:00.01 for inferences.
% 0.18/0.47 0:00:00.00 for the backtracking.
% 0.18/0.47 0:00:00.05 for the reduction.
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 Here is a proof with depth 9, length 43 :
% 0.18/0.47 % SZS output start Refutation
% See solution above
% 0.18/0.47 Formulae used in the proof : mp3_1 a2_FOL_2 a2_FOL_3 a4_FOL_5 t6_FOL_6 t6_FOL_7 t6_FOL_8 t6_FOL_9 t6_FOL_10 t6_FOL_11 t6_FOL_12 t6_FOL_13 t6_FOL_14
% 0.18/0.47
%------------------------------------------------------------------------------