TSTP Solution File: MGT010-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT010-1 : 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 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of clauses : 48 ( 20 unt; 0 nHn; 48 RR)
% Number of literals : 186 ( 0 equ; 140 neg)
% Maximal clause size : 12 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 21 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ organization(u,v)
| reproducibility(u,sk1(v,u),v) ),
file('MGT010-1.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('MGT010-1.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('MGT010-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ greater(u,v)
| ~ organization(w,x)
| ~ organization(y,z)
| ~ size(w,u,x)
| ~ size(y,v,z)
| ~ reproducibility(w,x1,x)
| ~ reproducibility(y,x2,z)
| ~ class(w,x3,x)
| ~ class(y,x3,z)
| ~ reorganization_free(w,x,x)
| ~ reorganization_free(y,z,z)
| greater(x1,x2) ),
file('MGT010-1.p',unknown),
[] ).
cnf(6,axiom,
organization(sk2,sk11),
file('MGT010-1.p',unknown),
[] ).
cnf(7,axiom,
organization(sk3,sk12),
file('MGT010-1.p',unknown),
[] ).
cnf(8,axiom,
reorganization_free(sk2,sk11,sk11),
file('MGT010-1.p',unknown),
[] ).
cnf(9,axiom,
reorganization_free(sk3,sk12,sk12),
file('MGT010-1.p',unknown),
[] ).
cnf(10,axiom,
class(sk2,sk4,sk11),
file('MGT010-1.p',unknown),
[] ).
cnf(11,axiom,
class(sk3,sk4,sk12),
file('MGT010-1.p',unknown),
[] ).
cnf(12,axiom,
reliability(sk2,sk5,sk11),
file('MGT010-1.p',unknown),
[] ).
cnf(13,axiom,
reliability(sk3,sk6,sk12),
file('MGT010-1.p',unknown),
[] ).
cnf(14,axiom,
accountability(sk2,sk7,sk11),
file('MGT010-1.p',unknown),
[] ).
cnf(15,axiom,
accountability(sk3,sk8,sk12),
file('MGT010-1.p',unknown),
[] ).
cnf(16,axiom,
size(sk2,sk9,sk11),
file('MGT010-1.p',unknown),
[] ).
cnf(17,axiom,
size(sk3,sk10,sk12),
file('MGT010-1.p',unknown),
[] ).
cnf(18,axiom,
greater(sk10,sk9),
file('MGT010-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ greater(sk8,sk7)
| ~ greater(sk6,sk5) ),
file('MGT010-1.p',unknown),
[] ).
cnf(29,plain,
reproducibility(sk3,sk1(sk12,sk3),sk12),
inference(res,[status(thm),theory(equality)],[7,1]),
[iquote('0:Res:7.0,1.0')] ).
cnf(36,plain,
( ~ greater(u,v)
| ~ organization(w,x)
| ~ reproducibility(w,u,x)
| ~ accountability(w,y,x)
| ~ reliability(w,z,x)
| ~ reproducibility(sk2,v,sk11)
| ~ accountability(sk2,x1,sk11)
| ~ reliability(sk2,x2,sk11)
| greater(y,x1) ),
inference(res,[status(thm),theory(equality)],[6,3]),
[iquote('0:Res:6.0,3.0')] ).
cnf(37,plain,
( ~ greater(u,v)
| ~ organization(w,x)
| ~ reproducibility(w,u,x)
| ~ accountability(w,y,x)
| ~ reliability(w,z,x)
| ~ reproducibility(sk2,v,sk11)
| ~ accountability(sk2,x1,sk11)
| ~ reliability(sk2,x2,sk11)
| greater(z,x2) ),
inference(res,[status(thm),theory(equality)],[6,2]),
[iquote('0:Res:6.0,2.0')] ).
cnf(38,plain,
reproducibility(sk2,sk1(sk11,sk2),sk11),
inference(res,[status(thm),theory(equality)],[6,1]),
[iquote('0:Res:6.0,1.0')] ).
cnf(86,plain,
( ~ greater(sk10,u)
| ~ organization(sk3,sk12)
| ~ organization(v,w)
| ~ size(v,u,w)
| ~ reproducibility(sk3,x,sk12)
| ~ reproducibility(v,y,w)
| ~ class(sk3,z,sk12)
| ~ class(v,z,w)
| ~ reorganization_free(sk3,sk12,sk12)
| ~ reorganization_free(v,w,w)
| greater(x,y) ),
inference(res,[status(thm),theory(equality)],[17,5]),
[iquote('0:Res:17.0,5.3')] ).
cnf(89,plain,
( ~ greater(sk10,u)
| ~ organization(v,w)
| ~ size(v,u,w)
| ~ reproducibility(sk3,x,sk12)
| ~ reproducibility(v,y,w)
| ~ class(sk3,z,sk12)
| ~ class(v,z,w)
| ~ reorganization_free(v,w,w)
| greater(x,y) ),
inference(mrr,[status(thm)],[86,7,9]),
[iquote('0:MRR:86.1,86.8,7.0,9.0')] ).
cnf(98,plain,
( ~ greater(sk1(sk12,sk3),u)
| ~ organization(sk3,sk12)
| ~ accountability(sk3,v,sk12)
| ~ reliability(sk3,w,sk12)
| ~ reproducibility(sk2,u,sk11)
| ~ accountability(sk2,x,sk11)
| ~ reliability(sk2,y,sk11)
| greater(v,x) ),
inference(res,[status(thm),theory(equality)],[29,36]),
[iquote('0:Res:29.0,36.2')] ).
cnf(100,plain,
( ~ greater(sk1(sk12,sk3),u)
| ~ accountability(sk3,v,sk12)
| ~ reliability(sk3,w,sk12)
| ~ reproducibility(sk2,u,sk11)
| ~ accountability(sk2,x,sk11)
| ~ reliability(sk2,y,sk11)
| greater(v,x) ),
inference(mrr,[status(thm)],[98,7]),
[iquote('0:MRR:98.1,7.0')] ).
cnf(105,plain,
( ~ greater(sk1(sk12,sk3),u)
| ~ organization(sk3,sk12)
| ~ accountability(sk3,v,sk12)
| ~ reliability(sk3,w,sk12)
| ~ reproducibility(sk2,u,sk11)
| ~ accountability(sk2,x,sk11)
| ~ reliability(sk2,y,sk11)
| greater(w,y) ),
inference(res,[status(thm),theory(equality)],[29,37]),
[iquote('0:Res:29.0,37.2')] ).
cnf(107,plain,
( ~ greater(sk1(sk12,sk3),u)
| ~ accountability(sk3,v,sk12)
| ~ reliability(sk3,w,sk12)
| ~ reproducibility(sk2,u,sk11)
| ~ accountability(sk2,x,sk11)
| ~ reliability(sk2,y,sk11)
| greater(w,y) ),
inference(mrr,[status(thm)],[105,7]),
[iquote('0:MRR:105.1,7.0')] ).
cnf(157,plain,
( ~ greater(sk10,sk9)
| ~ organization(sk2,sk11)
| ~ reproducibility(sk3,u,sk12)
| ~ reproducibility(sk2,v,sk11)
| ~ class(sk3,w,sk12)
| ~ class(sk2,w,sk11)
| ~ reorganization_free(sk2,sk11,sk11)
| greater(u,v) ),
inference(res,[status(thm),theory(equality)],[16,89]),
[iquote('0:Res:16.0,89.2')] ).
cnf(158,plain,
( ~ reproducibility(sk3,u,sk12)
| ~ reproducibility(sk2,v,sk11)
| ~ class(sk3,w,sk12)
| ~ class(sk2,w,sk11)
| greater(u,v) ),
inference(mrr,[status(thm)],[157,18,6,8]),
[iquote('0:MRR:157.0,157.1,157.6,18.0,6.0,8.0')] ).
cnf(217,plain,
( ~ reproducibility(sk2,u,sk11)
| ~ class(sk3,v,sk12)
| ~ class(sk2,v,sk11)
| greater(sk1(sk12,sk3),u) ),
inference(res,[status(thm),theory(equality)],[29,158]),
[iquote('0:Res:29.0,158.0')] ).
cnf(219,plain,
( ~ class(sk3,u,sk12)
| ~ class(sk2,u,sk11)
| greater(sk1(sk12,sk3),sk1(sk11,sk2)) ),
inference(res,[status(thm),theory(equality)],[38,217]),
[iquote('0:Res:38.0,217.0')] ).
cnf(221,plain,
( ~ class(sk2,sk4,sk11)
| greater(sk1(sk12,sk3),sk1(sk11,sk2)) ),
inference(res,[status(thm),theory(equality)],[11,219]),
[iquote('0:Res:11.0,219.0')] ).
cnf(222,plain,
greater(sk1(sk12,sk3),sk1(sk11,sk2)),
inference(mrr,[status(thm)],[221,10]),
[iquote('0:MRR:221.0,10.0')] ).
cnf(229,plain,
( ~ accountability(sk3,u,sk12)
| ~ reliability(sk3,v,sk12)
| ~ reproducibility(sk2,sk1(sk11,sk2),sk11)
| ~ accountability(sk2,w,sk11)
| ~ reliability(sk2,x,sk11)
| greater(v,x) ),
inference(res,[status(thm),theory(equality)],[222,107]),
[iquote('0:Res:222.0,107.0')] ).
cnf(230,plain,
( ~ accountability(sk3,u,sk12)
| ~ reliability(sk3,v,sk12)
| ~ reproducibility(sk2,sk1(sk11,sk2),sk11)
| ~ accountability(sk2,w,sk11)
| ~ reliability(sk2,x,sk11)
| greater(u,w) ),
inference(res,[status(thm),theory(equality)],[222,100]),
[iquote('0:Res:222.0,100.0')] ).
cnf(241,plain,
( ~ accountability(sk3,u,sk12)
| ~ reliability(sk3,v,sk12)
| ~ accountability(sk2,w,sk11)
| ~ reliability(sk2,x,sk11)
| greater(u,w) ),
inference(mrr,[status(thm)],[230,38]),
[iquote('0:MRR:230.2,38.0')] ).
cnf(242,plain,
( ~ accountability(sk3,u,sk12)
| ~ reliability(sk3,v,sk12)
| ~ accountability(sk2,w,sk11)
| ~ reliability(sk2,x,sk11)
| greater(v,x) ),
inference(mrr,[status(thm)],[229,38]),
[iquote('0:MRR:229.2,38.0')] ).
cnf(253,plain,
( ~ reliability(sk3,u,sk12)
| ~ accountability(sk2,v,sk11)
| ~ reliability(sk2,w,sk11)
| greater(sk8,v) ),
inference(res,[status(thm),theory(equality)],[15,241]),
[iquote('0:Res:15.0,241.0')] ).
cnf(254,plain,
( ~ accountability(sk2,u,sk11)
| ~ reliability(sk2,v,sk11)
| greater(sk8,u) ),
inference(res,[status(thm),theory(equality)],[13,253]),
[iquote('0:Res:13.0,253.0')] ).
cnf(255,plain,
( ~ reliability(sk2,u,sk11)
| greater(sk8,sk7) ),
inference(res,[status(thm),theory(equality)],[14,254]),
[iquote('0:Res:14.0,254.0')] ).
cnf(256,plain,
greater(sk8,sk7),
inference(res,[status(thm),theory(equality)],[12,255]),
[iquote('0:Res:12.0,255.0')] ).
cnf(257,plain,
~ greater(sk6,sk5),
inference(mrr,[status(thm)],[19,256]),
[iquote('0:MRR:19.0,256.0')] ).
cnf(258,plain,
( ~ reliability(sk3,u,sk12)
| ~ accountability(sk2,v,sk11)
| ~ reliability(sk2,w,sk11)
| greater(u,w) ),
inference(res,[status(thm),theory(equality)],[15,242]),
[iquote('0:Res:15.0,242.0')] ).
cnf(259,plain,
( ~ accountability(sk2,u,sk11)
| ~ reliability(sk2,v,sk11)
| greater(sk6,v) ),
inference(res,[status(thm),theory(equality)],[13,258]),
[iquote('0:Res:13.0,258.0')] ).
cnf(260,plain,
( ~ reliability(sk2,u,sk11)
| greater(sk6,u) ),
inference(res,[status(thm),theory(equality)],[14,259]),
[iquote('0:Res:14.0,259.0')] ).
cnf(266,plain,
greater(sk6,sk5),
inference(res,[status(thm),theory(equality)],[12,260]),
[iquote('0:Res:12.0,260.0')] ).
cnf(267,plain,
$false,
inference(mrr,[status(thm)],[266,257]),
[iquote('0:MRR:266.0,257.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT010-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 9 10:13:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.50
% 0.21/0.50 SPASS V 3.9
% 0.21/0.50 SPASS beiseite: Proof found.
% 0.21/0.50 % SZS status Theorem
% 0.21/0.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50 SPASS derived 165 clauses, backtracked 0 clauses, performed 0 splits and kept 144 clauses.
% 0.21/0.50 SPASS allocated 63481 KBytes.
% 0.21/0.50 SPASS spent 0:00:00.13 on the problem.
% 0.21/0.50 0:00:00.04 for the input.
% 0.21/0.50 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.50 0:00:00.01 for inferences.
% 0.21/0.50 0:00:00.00 for the backtracking.
% 0.21/0.50 0:00:00.05 for the reduction.
% 0.21/0.50
% 0.21/0.50
% 0.21/0.50 Here is a proof with depth 10, length 48 :
% 0.21/0.50 % SZS output start Refutation
% See solution above
% 0.21/0.50 Formulae used in the proof : mp3_1 a2_FOL_2 a2_FOL_3 t9_FOL_5 t10_FOL_6 t10_FOL_7 t10_FOL_8 t10_FOL_9 t10_FOL_10 t10_FOL_11 t10_FOL_12 t10_FOL_13 t10_FOL_14 t10_FOL_15 t10_FOL_16 t10_FOL_17 t10_FOL_18 t10_FOL_19
% 0.21/0.50
%------------------------------------------------------------------------------