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 v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 : Theorem 0.15s 0.40s
% Output : Refutation 0.15s
% 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 : 179 ( 0 equ; 139 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(skc13,skc7),
file('MGT006+1.p',unknown),
[] ).
cnf(2,axiom,
organization(skc13,skc8),
file('MGT006+1.p',unknown),
[] ).
cnf(3,axiom,
greater(skc8,skc7),
file('MGT006+1.p',unknown),
[] ).
cnf(4,axiom,
reorganization_free(skc13,skc7,skc8),
file('MGT006+1.p',unknown),
[] ).
cnf(5,axiom,
reliability(skc13,skc12,skc7),
file('MGT006+1.p',unknown),
[] ).
cnf(6,axiom,
reliability(skc13,skc11,skc8),
file('MGT006+1.p',unknown),
[] ).
cnf(7,axiom,
accountability(skc13,skc10,skc7),
file('MGT006+1.p',unknown),
[] ).
cnf(8,axiom,
accountability(skc13,skc9,skc8),
file('MGT006+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ greater(skc9,skc10)
| ~ greater(skc11,skc12) ),
file('MGT006+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ organization(u,v)
| reproducibility(u,skf1(v,u),v) ),
file('MGT006+1.p',unknown),
[] ).
cnf(11,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(12,axiom,
( ~ organization(u,v)
| ~ organization(w,x)
| ~ greater(y,z)
| ~ reliability(u,x1,v)
| ~ accountability(u,x2,v)
| ~ reproducibility(u,y,v)
| ~ reproducibility(w,z,x)
| ~ accountability(w,x3,x)
| ~ reliability(w,x4,x)
| greater(x2,x3) ),
file('MGT006+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ organization(u,v)
| ~ organization(w,x)
| ~ greater(y,z)
| ~ reliability(u,x1,v)
| ~ accountability(u,x2,v)
| ~ reproducibility(u,y,v)
| ~ reproducibility(w,z,x)
| ~ accountability(w,x3,x)
| ~ reliability(w,x4,x)
| greater(x1,x4) ),
file('MGT006+1.p',unknown),
[] ).
cnf(15,plain,
( ~ organization(u,skc8)
| ~ organization(u,skc7)
| ~ reproducibility(u,v,skc8)
| ~ reproducibility(u,w,skc7)
| ~ reorganization_free(u,skc7,skc8)
| greater(v,w) ),
inference(res,[status(thm),theory(equality)],[3,11]),
[iquote('0:Res:3.0,11.5')] ).
cnf(21,plain,
reproducibility(skc13,skf1(skc8,skc13),skc8),
inference(res,[status(thm),theory(equality)],[2,10]),
[iquote('0:Res:2.0,10.0')] ).
cnf(45,plain,
( ~ organization(skc13,skc8)
| ~ organization(u,v)
| ~ greater(w,x)
| ~ accountability(skc13,y,skc8)
| ~ reproducibility(skc13,w,skc8)
| ~ reproducibility(u,x,v)
| ~ accountability(u,z,v)
| ~ reliability(u,x1,v)
| greater(skc11,x1) ),
inference(res,[status(thm),theory(equality)],[6,13]),
[iquote('0:Res:6.0,13.3')] ).
cnf(48,plain,
( ~ organization(u,v)
| ~ greater(w,x)
| ~ accountability(skc13,y,skc8)
| ~ reproducibility(skc13,w,skc8)
| ~ reproducibility(u,x,v)
| ~ accountability(u,z,v)
| ~ reliability(u,x1,v)
| greater(skc11,x1) ),
inference(mrr,[status(thm)],[45,2]),
[iquote('0:MRR:45.0,2.0')] ).
cnf(49,plain,
( ~ organization(skc13,skc8)
| ~ organization(skc13,skc7)
| ~ reproducibility(skc13,u,skc7)
| ~ reorganization_free(skc13,skc7,skc8)
| greater(skf1(skc8,skc13),u) ),
inference(res,[status(thm),theory(equality)],[21,15]),
[iquote('0:Res:21.0,15.2')] ).
cnf(51,plain,
( ~ reproducibility(skc13,u,skc7)
| greater(skf1(skc8,skc13),u) ),
inference(mrr,[status(thm)],[49,2,1,4]),
[iquote('0:MRR:49.0,49.1,49.3,2.0,1.0,4.0')] ).
cnf(53,plain,
( ~ organization(skc13,skc8)
| ~ organization(u,v)
| ~ greater(w,x)
| ~ accountability(skc13,y,skc8)
| ~ reproducibility(skc13,w,skc8)
| ~ reproducibility(u,x,v)
| ~ accountability(u,z,v)
| ~ reliability(u,x1,v)
| greater(y,z) ),
inference(res,[status(thm),theory(equality)],[6,12]),
[iquote('0:Res:6.0,12.3')] ).
cnf(56,plain,
( ~ organization(u,v)
| ~ greater(w,x)
| ~ accountability(skc13,y,skc8)
| ~ reproducibility(skc13,w,skc8)
| ~ reproducibility(u,x,v)
| ~ accountability(u,z,v)
| ~ reliability(u,x1,v)
| greater(y,z) ),
inference(mrr,[status(thm)],[53,2]),
[iquote('0:MRR:53.0,2.0')] ).
cnf(80,plain,
( ~ organization(u,v)
| ~ greater(w,x)
| ~ reproducibility(skc13,w,skc8)
| ~ reproducibility(u,x,v)
| ~ accountability(u,y,v)
| ~ reliability(u,z,v)
| greater(skc11,z) ),
inference(res,[status(thm),theory(equality)],[8,48]),
[iquote('0:Res:8.0,48.2')] ).
cnf(81,plain,
( ~ organization(u,v)
| ~ greater(skf1(skc8,skc13),w)
| ~ reproducibility(u,w,v)
| ~ accountability(u,x,v)
| ~ reliability(u,y,v)
| greater(skc11,y) ),
inference(res,[status(thm),theory(equality)],[21,80]),
[iquote('0:Res:21.0,80.2')] ).
cnf(83,plain,
( ~ reproducibility(skc13,u,skc7)
| ~ organization(v,w)
| ~ reproducibility(v,u,w)
| ~ accountability(v,x,w)
| ~ reliability(v,y,w)
| greater(skc11,y) ),
inference(res,[status(thm),theory(equality)],[51,81]),
[iquote('0:Res:51.1,81.1')] ).
cnf(93,plain,
( ~ organization(skc13,skc7)
| ~ organization(u,v)
| ~ reproducibility(u,skf1(skc7,skc13),v)
| ~ accountability(u,w,v)
| ~ reliability(u,x,v)
| greater(skc11,x) ),
inference(res,[status(thm),theory(equality)],[10,83]),
[iquote('0:Res:10.1,83.0')] ).
cnf(94,plain,
( ~ organization(u,v)
| ~ reproducibility(u,skf1(skc7,skc13),v)
| ~ accountability(u,w,v)
| ~ reliability(u,x,v)
| greater(skc11,x) ),
inference(mrr,[status(thm)],[93,1]),
[iquote('0:MRR:93.0,1.0')] ).
cnf(96,plain,
( ~ organization(skc13,skc7)
| ~ organization(skc13,skc7)
| ~ accountability(skc13,u,skc7)
| ~ reliability(skc13,v,skc7)
| greater(skc11,v) ),
inference(res,[status(thm),theory(equality)],[10,94]),
[iquote('0:Res:10.1,94.1')] ).
cnf(97,plain,
( ~ organization(skc13,skc7)
| ~ accountability(skc13,u,skc7)
| ~ reliability(skc13,v,skc7)
| greater(skc11,v) ),
inference(obv,[status(thm),theory(equality)],[96]),
[iquote('0:Obv:96.0')] ).
cnf(98,plain,
( ~ accountability(skc13,u,skc7)
| ~ reliability(skc13,v,skc7)
| greater(skc11,v) ),
inference(mrr,[status(thm)],[97,1]),
[iquote('0:MRR:97.0,1.0')] ).
cnf(99,plain,
( ~ reliability(skc13,u,skc7)
| greater(skc11,u) ),
inference(res,[status(thm),theory(equality)],[7,98]),
[iquote('0:Res:7.0,98.0')] ).
cnf(100,plain,
greater(skc11,skc12),
inference(res,[status(thm),theory(equality)],[5,99]),
[iquote('0:Res:5.0,99.0')] ).
cnf(101,plain,
~ greater(skc9,skc10),
inference(mrr,[status(thm)],[9,100]),
[iquote('0:MRR:9.1,100.0')] ).
cnf(116,plain,
( ~ organization(u,v)
| ~ greater(w,x)
| ~ reproducibility(skc13,w,skc8)
| ~ reproducibility(u,x,v)
| ~ accountability(u,y,v)
| ~ reliability(u,z,v)
| greater(skc9,y) ),
inference(res,[status(thm),theory(equality)],[8,56]),
[iquote('0:Res:8.0,56.2')] ).
cnf(117,plain,
( ~ organization(u,v)
| ~ greater(skf1(skc8,skc13),w)
| ~ reproducibility(u,w,v)
| ~ accountability(u,x,v)
| ~ reliability(u,y,v)
| greater(skc9,x) ),
inference(res,[status(thm),theory(equality)],[21,116]),
[iquote('0:Res:21.0,116.2')] ).
cnf(119,plain,
( ~ reproducibility(skc13,u,skc7)
| ~ organization(v,w)
| ~ reproducibility(v,u,w)
| ~ accountability(v,x,w)
| ~ reliability(v,y,w)
| greater(skc9,x) ),
inference(res,[status(thm),theory(equality)],[51,117]),
[iquote('0:Res:51.1,117.1')] ).
cnf(129,plain,
( ~ organization(skc13,skc7)
| ~ organization(u,v)
| ~ reproducibility(u,skf1(skc7,skc13),v)
| ~ accountability(u,w,v)
| ~ reliability(u,x,v)
| greater(skc9,w) ),
inference(res,[status(thm),theory(equality)],[10,119]),
[iquote('0:Res:10.1,119.0')] ).
cnf(130,plain,
( ~ organization(u,v)
| ~ reproducibility(u,skf1(skc7,skc13),v)
| ~ accountability(u,w,v)
| ~ reliability(u,x,v)
| greater(skc9,w) ),
inference(mrr,[status(thm)],[129,1]),
[iquote('0:MRR:129.0,1.0')] ).
cnf(131,plain,
( ~ organization(skc13,skc7)
| ~ organization(skc13,skc7)
| ~ accountability(skc13,u,skc7)
| ~ reliability(skc13,v,skc7)
| greater(skc9,u) ),
inference(res,[status(thm),theory(equality)],[10,130]),
[iquote('0:Res:10.1,130.1')] ).
cnf(132,plain,
( ~ organization(skc13,skc7)
| ~ accountability(skc13,u,skc7)
| ~ reliability(skc13,v,skc7)
| greater(skc9,u) ),
inference(obv,[status(thm),theory(equality)],[131]),
[iquote('0:Obv:131.0')] ).
cnf(133,plain,
( ~ accountability(skc13,u,skc7)
| ~ reliability(skc13,v,skc7)
| greater(skc9,u) ),
inference(mrr,[status(thm)],[132,1]),
[iquote('0:MRR:132.0,1.0')] ).
cnf(135,plain,
( ~ reliability(skc13,u,skc7)
| greater(skc9,skc10) ),
inference(res,[status(thm),theory(equality)],[7,133]),
[iquote('0:Res:7.0,133.0')] ).
cnf(136,plain,
~ reliability(skc13,u,skc7),
inference(mrr,[status(thm)],[135,101]),
[iquote('0:MRR:135.1,101.0')] ).
cnf(137,plain,
$false,
inference(unc,[status(thm)],[136,5]),
[iquote('0:UnC:136.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : MGT006+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.10 % Command : run_spass %d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Thu Jun 9 08:09:07 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.40
% 0.15/0.40 SPASS V 3.9
% 0.15/0.40 SPASS beiseite: Proof found.
% 0.15/0.40 % SZS status Theorem
% 0.15/0.40 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40 SPASS derived 85 clauses, backtracked 0 clauses, performed 0 splits and kept 83 clauses.
% 0.15/0.40 SPASS allocated 85362 KBytes.
% 0.15/0.40 SPASS spent 0:00:00.09 on the problem.
% 0.15/0.40 0:00:00.03 for the input.
% 0.15/0.40 0:00:00.02 for the FLOTTER CNF translation.
% 0.15/0.40 0:00:00.00 for inferences.
% 0.15/0.40 0:00:00.00 for the backtracking.
% 0.15/0.40 0:00:00.01 for the reduction.
% 0.15/0.40
% 0.15/0.40
% 0.15/0.40 Here is a proof with depth 8, length 43 :
% 0.15/0.40 % SZS output start Refutation
% See solution above
% 0.15/0.40 Formulae used in the proof : t6_FOL mp3 a4_FOL a2_FOL
% 0.15/0.40
%------------------------------------------------------------------------------