TSTP Solution File: MGT001-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT001-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 22:26:06 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 17
% Syntax : Number of clauses : 56 ( 17 unt; 0 nHn; 56 RR)
% Number of literals : 262 ( 0 equ; 218 neg)
% Maximal clause size : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ organization(u,v)
| reliability(u,sk1(v,u),v) ),
file('MGT001-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ organization(u,v)
| accountability(u,sk2(v,u),v) ),
file('MGT001-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ organization(u,v)
| reproducibility(u,sk3(v,u),v) ),
file('MGT001-1.p',unknown),
[] ).
cnf(4,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('MGT001-1.p',unknown),
[] ).
cnf(5,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('MGT001-1.p',unknown),
[] ).
cnf(6,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('MGT001-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ greater(u,v)
| ~ organization(w,x)
| ~ organization(y,z)
| ~ inertia(w,u,x)
| ~ inertia(y,v,z)
| ~ reproducibility(w,x1,x)
| ~ reproducibility(y,x2,z)
| ~ reorganization_free(w,x,x)
| ~ reorganization_free(y,z,z)
| greater(x1,x2) ),
file('MGT001-1.p',unknown),
[] ).
cnf(10,axiom,
organization(sk4,sk6),
file('MGT001-1.p',unknown),
[] ).
cnf(11,axiom,
organization(sk5,sk7),
file('MGT001-1.p',unknown),
[] ).
cnf(12,axiom,
reorganization_free(sk4,sk6,sk6),
file('MGT001-1.p',unknown),
[] ).
cnf(13,axiom,
reorganization_free(sk5,sk7,sk7),
file('MGT001-1.p',unknown),
[] ).
cnf(14,axiom,
inertia(sk4,sk8,sk6),
file('MGT001-1.p',unknown),
[] ).
cnf(15,axiom,
inertia(sk5,sk9,sk7),
file('MGT001-1.p',unknown),
[] ).
cnf(16,axiom,
survival_chance(sk4,sk10,sk6),
file('MGT001-1.p',unknown),
[] ).
cnf(17,axiom,
survival_chance(sk5,sk11,sk7),
file('MGT001-1.p',unknown),
[] ).
cnf(18,axiom,
greater(sk9,sk8),
file('MGT001-1.p',unknown),
[] ).
cnf(19,axiom,
~ greater(sk11,sk10),
file('MGT001-1.p',unknown),
[] ).
cnf(27,plain,
( ~ organization(u,v)
| ~ organization(w,x)
| ~ reproducibility(u,y,v)
| ~ reproducibility(w,z,x)
| ~ reorganization_free(u,v,v)
| ~ reorganization_free(w,x,x)
| ~ inertia(u,sk9,v)
| ~ inertia(w,sk8,x)
| greater(y,z) ),
inference(res,[status(thm),theory(equality)],[18,9]),
[iquote('0:Res:18.0,9.8')] ).
cnf(34,plain,
reliability(sk5,sk1(sk7,sk5),sk7),
inference(res,[status(thm),theory(equality)],[11,1]),
[iquote('0:Res:11.0,1.0')] ).
cnf(35,plain,
accountability(sk5,sk2(sk7,sk5),sk7),
inference(res,[status(thm),theory(equality)],[11,2]),
[iquote('0:Res:11.0,2.0')] ).
cnf(36,plain,
reproducibility(sk5,sk3(sk7,sk5),sk7),
inference(res,[status(thm),theory(equality)],[11,3]),
[iquote('0:Res:11.0,3.0')] ).
cnf(73,plain,
( ~ organization(u,v)
| ~ greater(sk3(v,u),w)
| ~ organization(u,v)
| ~ organization(x,y)
| ~ reproducibility(x,w,y)
| ~ accountability(u,z,v)
| ~ accountability(x,x1,y)
| ~ reliability(u,x2,v)
| ~ reliability(x,x3,y)
| greater(z,x1) ),
inference(res,[status(thm),theory(equality)],[3,6]),
[iquote('0:Res:3.1,6.3')] ).
cnf(75,plain,
( ~ greater(sk3(u,v),w)
| ~ organization(v,u)
| ~ organization(x,y)
| ~ reproducibility(x,w,y)
| ~ accountability(v,z,u)
| ~ accountability(x,x1,y)
| ~ reliability(v,x2,u)
| ~ reliability(x,x3,y)
| greater(z,x1) ),
inference(obv,[status(thm),theory(equality)],[73]),
[iquote('0:Obv:73.0')] ).
cnf(85,plain,
( ~ organization(u,v)
| ~ greater(sk3(v,u),w)
| ~ organization(u,v)
| ~ organization(x,y)
| ~ reproducibility(x,w,y)
| ~ accountability(u,z,v)
| ~ accountability(x,x1,y)
| ~ reliability(u,x2,v)
| ~ reliability(x,x3,y)
| greater(x2,x3) ),
inference(res,[status(thm),theory(equality)],[3,5]),
[iquote('0:Res:3.1,5.3')] ).
cnf(87,plain,
( ~ greater(sk3(u,v),w)
| ~ organization(v,u)
| ~ organization(x,y)
| ~ reproducibility(x,w,y)
| ~ accountability(v,z,u)
| ~ accountability(x,x1,y)
| ~ reliability(v,x2,u)
| ~ reliability(x,x3,y)
| greater(x2,x3) ),
inference(obv,[status(thm),theory(equality)],[85]),
[iquote('0:Obv:85.0')] ).
cnf(98,plain,
( ~ greater(u,v)
| ~ greater(w,x)
| ~ organization(sk5,sk7)
| ~ organization(y,z)
| ~ survival_chance(y,x1,z)
| ~ accountability(sk5,u,sk7)
| ~ accountability(y,v,z)
| ~ reliability(sk5,w,sk7)
| ~ reliability(y,x,z)
| greater(sk11,x1) ),
inference(res,[status(thm),theory(equality)],[17,4]),
[iquote('0:Res:17.0,4.4')] ).
cnf(101,plain,
( ~ greater(u,v)
| ~ greater(w,x)
| ~ organization(y,z)
| ~ survival_chance(y,x1,z)
| ~ accountability(sk5,u,sk7)
| ~ accountability(y,v,z)
| ~ reliability(sk5,w,sk7)
| ~ reliability(y,x,z)
| greater(sk11,x1) ),
inference(mrr,[status(thm)],[98,11]),
[iquote('0:MRR:98.2,11.0')] ).
cnf(160,plain,
( ~ greater(u,v)
| ~ greater(w,x)
| ~ organization(sk4,sk6)
| ~ accountability(sk5,u,sk7)
| ~ accountability(sk4,v,sk6)
| ~ reliability(sk5,w,sk7)
| ~ reliability(sk4,x,sk6)
| greater(sk11,sk10) ),
inference(res,[status(thm),theory(equality)],[16,101]),
[iquote('0:Res:16.0,101.3')] ).
cnf(161,plain,
( ~ greater(u,v)
| ~ greater(w,x)
| ~ accountability(sk5,u,sk7)
| ~ accountability(sk4,v,sk6)
| ~ reliability(sk5,w,sk7)
| ~ reliability(sk4,x,sk6) ),
inference(mrr,[status(thm)],[160,10,19]),
[iquote('0:MRR:160.2,160.7,10.0,19.0')] ).
cnf(178,plain,
( ~ greater(sk2(sk7,sk5),u)
| ~ greater(v,w)
| ~ accountability(sk4,u,sk6)
| ~ reliability(sk5,v,sk7)
| ~ reliability(sk4,w,sk6) ),
inference(res,[status(thm),theory(equality)],[35,161]),
[iquote('0:Res:35.0,161.2')] ).
cnf(225,plain,
( ~ organization(sk5,sk7)
| ~ organization(u,v)
| ~ reproducibility(u,w,v)
| ~ reorganization_free(sk5,sk7,sk7)
| ~ reorganization_free(u,v,v)
| ~ inertia(sk5,sk9,sk7)
| ~ inertia(u,sk8,v)
| greater(sk3(sk7,sk5),w) ),
inference(res,[status(thm),theory(equality)],[36,27]),
[iquote('0:Res:36.0,27.2')] ).
cnf(227,plain,
( ~ organization(u,v)
| ~ reproducibility(u,w,v)
| ~ reorganization_free(u,v,v)
| ~ inertia(u,sk8,v)
| greater(sk3(sk7,sk5),w) ),
inference(mrr,[status(thm)],[225,11,13,15]),
[iquote('0:MRR:225.0,225.3,225.5,11.0,13.0,15.0')] ).
cnf(230,plain,
( ~ organization(u,v)
| ~ organization(u,v)
| ~ reorganization_free(u,v,v)
| ~ inertia(u,sk8,v)
| greater(sk3(sk7,sk5),sk3(v,u)) ),
inference(res,[status(thm),theory(equality)],[3,227]),
[iquote('0:Res:3.1,227.1')] ).
cnf(232,plain,
( ~ organization(u,v)
| ~ reorganization_free(u,v,v)
| ~ inertia(u,sk8,v)
| greater(sk3(sk7,sk5),sk3(v,u)) ),
inference(obv,[status(thm),theory(equality)],[230]),
[iquote('0:Obv:230.0')] ).
cnf(246,plain,
( ~ organization(sk4,sk6)
| ~ inertia(sk4,sk8,sk6)
| greater(sk3(sk7,sk5),sk3(sk6,sk4)) ),
inference(res,[status(thm),theory(equality)],[12,232]),
[iquote('0:Res:12.0,232.1')] ).
cnf(247,plain,
greater(sk3(sk7,sk5),sk3(sk6,sk4)),
inference(mrr,[status(thm)],[246,10,14]),
[iquote('0:MRR:246.0,246.1,10.0,14.0')] ).
cnf(294,plain,
( ~ organization(sk5,sk7)
| ~ organization(u,v)
| ~ reproducibility(u,sk3(sk6,sk4),v)
| ~ accountability(sk5,w,sk7)
| ~ accountability(u,x,v)
| ~ reliability(sk5,y,sk7)
| ~ reliability(u,z,v)
| greater(w,x) ),
inference(res,[status(thm),theory(equality)],[247,75]),
[iquote('0:Res:247.0,75.0')] ).
cnf(295,plain,
( ~ organization(u,v)
| ~ reproducibility(u,sk3(sk6,sk4),v)
| ~ accountability(sk5,w,sk7)
| ~ accountability(u,x,v)
| ~ reliability(sk5,y,sk7)
| ~ reliability(u,z,v)
| greater(w,x) ),
inference(mrr,[status(thm)],[294,11]),
[iquote('0:MRR:294.0,11.0')] ).
cnf(313,plain,
( ~ organization(sk5,sk7)
| ~ organization(u,v)
| ~ reproducibility(u,sk3(sk6,sk4),v)
| ~ accountability(sk5,w,sk7)
| ~ accountability(u,x,v)
| ~ reliability(sk5,y,sk7)
| ~ reliability(u,z,v)
| greater(y,z) ),
inference(res,[status(thm),theory(equality)],[247,87]),
[iquote('0:Res:247.0,87.0')] ).
cnf(314,plain,
( ~ organization(u,v)
| ~ reproducibility(u,sk3(sk6,sk4),v)
| ~ accountability(sk5,w,sk7)
| ~ accountability(u,x,v)
| ~ reliability(sk5,y,sk7)
| ~ reliability(u,z,v)
| greater(y,z) ),
inference(mrr,[status(thm)],[313,11]),
[iquote('0:MRR:313.0,11.0')] ).
cnf(382,plain,
( ~ organization(sk4,sk6)
| ~ organization(sk4,sk6)
| ~ accountability(sk5,u,sk7)
| ~ accountability(sk4,v,sk6)
| ~ reliability(sk5,w,sk7)
| ~ reliability(sk4,x,sk6)
| greater(u,v) ),
inference(res,[status(thm),theory(equality)],[3,295]),
[iquote('0:Res:3.1,295.1')] ).
cnf(383,plain,
( ~ organization(sk4,sk6)
| ~ accountability(sk5,u,sk7)
| ~ accountability(sk4,v,sk6)
| ~ reliability(sk5,w,sk7)
| ~ reliability(sk4,x,sk6)
| greater(u,v) ),
inference(obv,[status(thm),theory(equality)],[382]),
[iquote('0:Obv:382.0')] ).
cnf(384,plain,
( ~ accountability(sk5,u,sk7)
| ~ accountability(sk4,v,sk6)
| ~ reliability(sk5,w,sk7)
| ~ reliability(sk4,x,sk6)
| greater(u,v) ),
inference(mrr,[status(thm)],[383,10]),
[iquote('0:MRR:383.0,10.0')] ).
cnf(390,plain,
( ~ accountability(sk4,u,sk6)
| ~ reliability(sk5,v,sk7)
| ~ reliability(sk4,w,sk6)
| greater(sk2(sk7,sk5),u) ),
inference(res,[status(thm),theory(equality)],[35,384]),
[iquote('0:Res:35.0,384.0')] ).
cnf(392,plain,
( ~ greater(u,v)
| ~ accountability(sk4,w,sk6)
| ~ reliability(sk5,u,sk7)
| ~ reliability(sk4,v,sk6) ),
inference(mrr,[status(thm)],[178,390]),
[iquote('0:MRR:178.0,390.3')] ).
cnf(393,plain,
( ~ organization(sk4,sk6)
| ~ greater(u,v)
| ~ reliability(sk5,u,sk7)
| ~ reliability(sk4,v,sk6) ),
inference(res,[status(thm),theory(equality)],[2,392]),
[iquote('0:Res:2.1,392.1')] ).
cnf(394,plain,
( ~ greater(u,v)
| ~ reliability(sk5,u,sk7)
| ~ reliability(sk4,v,sk6) ),
inference(mrr,[status(thm)],[393,10]),
[iquote('0:MRR:393.0,10.0')] ).
cnf(431,plain,
( ~ organization(sk4,sk6)
| ~ organization(sk4,sk6)
| ~ accountability(sk5,u,sk7)
| ~ accountability(sk4,v,sk6)
| ~ reliability(sk5,w,sk7)
| ~ reliability(sk4,x,sk6)
| greater(w,x) ),
inference(res,[status(thm),theory(equality)],[3,314]),
[iquote('0:Res:3.1,314.1')] ).
cnf(432,plain,
( ~ organization(sk4,sk6)
| ~ accountability(sk5,u,sk7)
| ~ accountability(sk4,v,sk6)
| ~ reliability(sk5,w,sk7)
| ~ reliability(sk4,x,sk6)
| greater(w,x) ),
inference(obv,[status(thm),theory(equality)],[431]),
[iquote('0:Obv:431.0')] ).
cnf(433,plain,
( ~ accountability(sk5,u,sk7)
| ~ accountability(sk4,v,sk6)
| ~ reliability(sk5,w,sk7)
| ~ reliability(sk4,x,sk6) ),
inference(mrr,[status(thm)],[432,10,394]),
[iquote('0:MRR:432.0,432.5,10.0,394.0')] ).
cnf(434,plain,
( ~ accountability(sk4,u,sk6)
| ~ reliability(sk5,v,sk7)
| ~ reliability(sk4,w,sk6) ),
inference(res,[status(thm),theory(equality)],[35,433]),
[iquote('0:Res:35.0,433.0')] ).
cnf(436,plain,
( ~ organization(sk4,sk6)
| ~ reliability(sk5,u,sk7)
| ~ reliability(sk4,v,sk6) ),
inference(res,[status(thm),theory(equality)],[2,434]),
[iquote('0:Res:2.1,434.0')] ).
cnf(437,plain,
( ~ reliability(sk5,u,sk7)
| ~ reliability(sk4,v,sk6) ),
inference(mrr,[status(thm)],[436,10]),
[iquote('0:MRR:436.0,10.0')] ).
cnf(440,plain,
~ reliability(sk4,u,sk6),
inference(res,[status(thm),theory(equality)],[34,437]),
[iquote('0:Res:34.0,437.0')] ).
cnf(442,plain,
~ organization(sk4,sk6),
inference(res,[status(thm),theory(equality)],[1,440]),
[iquote('0:Res:1.1,440.0')] ).
cnf(443,plain,
$false,
inference(mrr,[status(thm)],[442,10]),
[iquote('0:MRR:442.0,10.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : MGT001-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 08:20:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.50
% 0.18/0.50 SPASS V 3.9
% 0.18/0.50 SPASS beiseite: Proof found.
% 0.18/0.50 % SZS status Theorem
% 0.18/0.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 SPASS derived 280 clauses, backtracked 0 clauses, performed 0 splits and kept 222 clauses.
% 0.18/0.50 SPASS allocated 63652 KBytes.
% 0.18/0.50 SPASS spent 0:00:00.16 on the problem.
% 0.18/0.50 0:00:00.04 for the input.
% 0.18/0.50 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.50 0:00:00.01 for inferences.
% 0.18/0.50 0:00:00.00 for the backtracking.
% 0.18/0.50 0:00:00.08 for the reduction.
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 Here is a proof with depth 10, length 56 :
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 Formulae used in the proof : mp1_1 mp2_2 mp3_3 a1_FOL_4 a2_FOL_5 a2_FOL_6 a3_FOL_9 t1_FOL_10 t1_FOL_11 t1_FOL_12 t1_FOL_13 t1_FOL_14 t1_FOL_15 t1_FOL_16 t1_FOL_17 t1_FOL_18 t1_FOL_19
% 0.18/0.50
%------------------------------------------------------------------------------