TSTP Solution File: NLP001-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NLP001-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 : Mon Jul 18 05:25:24 EDT 2022
% Result : Unsatisfiable 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 30
% Syntax : Number of clauses : 65 ( 32 unt; 10 nHn; 65 RR)
% Number of literals : 186 ( 0 equ; 124 neg)
% Maximal clause size : 15 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 2 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
hollywood(skc15),
file('NLP001-1.p',unknown),
[] ).
cnf(2,axiom,
event(skc14),
file('NLP001-1.p',unknown),
[] ).
cnf(3,axiom,
street(skc13),
file('NLP001-1.p',unknown),
[] ).
cnf(4,axiom,
old(skc12),
file('NLP001-1.p',unknown),
[] ).
cnf(5,axiom,
hollywood(skc11),
file('NLP001-1.p',unknown),
[] ).
cnf(6,axiom,
event(skc10),
file('NLP001-1.p',unknown),
[] ).
cnf(7,axiom,
chevy(skc9),
file('NLP001-1.p',unknown),
[] ).
cnf(8,axiom,
lonely(skc8),
file('NLP001-1.p',unknown),
[] ).
cnf(9,axiom,
( ssskC0
| chevy(skc12) ),
file('NLP001-1.p',unknown),
[] ).
cnf(10,axiom,
( ssskC0
| car(skc12) ),
file('NLP001-1.p',unknown),
[] ).
cnf(11,axiom,
( ssskC0
| white(skc12) ),
file('NLP001-1.p',unknown),
[] ).
cnf(12,axiom,
( ssskC0
| dirty(skc12) ),
file('NLP001-1.p',unknown),
[] ).
cnf(13,axiom,
( ssskC0
| lonely(skc13) ),
file('NLP001-1.p',unknown),
[] ).
cnf(14,axiom,
( ssskC0
| way(skc13) ),
file('NLP001-1.p',unknown),
[] ).
cnf(15,axiom,
( ssskC0
| city(skc15) ),
file('NLP001-1.p',unknown),
[] ).
cnf(16,axiom,
( ~ ssskC0
| street(skc8) ),
file('NLP001-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ ssskC0
| way(skc8) ),
file('NLP001-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ ssskC0
| old(skc9) ),
file('NLP001-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ ssskC0
| dirty(skc9) ),
file('NLP001-1.p',unknown),
[] ).
cnf(20,axiom,
( ~ ssskC0
| white(skc9) ),
file('NLP001-1.p',unknown),
[] ).
cnf(21,axiom,
( ~ ssskC0
| car(skc9) ),
file('NLP001-1.p',unknown),
[] ).
cnf(22,axiom,
( ~ ssskC0
| city(skc11) ),
file('NLP001-1.p',unknown),
[] ).
cnf(23,axiom,
( ssskC0
| barrel(skc14,skc12) ),
file('NLP001-1.p',unknown),
[] ).
cnf(24,axiom,
( ssskC0
| down(skc14,skc13) ),
file('NLP001-1.p',unknown),
[] ).
cnf(25,axiom,
( ssskC0
| in(skc14,skc15) ),
file('NLP001-1.p',unknown),
[] ).
cnf(26,axiom,
( ~ ssskC0
| barrel(skc10,skc9) ),
file('NLP001-1.p',unknown),
[] ).
cnf(27,axiom,
( ~ ssskC0
| down(skc10,skc8) ),
file('NLP001-1.p',unknown),
[] ).
cnf(28,axiom,
( ~ ssskC0
| in(skc10,skc11) ),
file('NLP001-1.p',unknown),
[] ).
cnf(29,axiom,
( ~ street(u)
| ~ way(u)
| ~ lonely(u)
| ~ old(v)
| ~ dirty(v)
| ~ white(v)
| ~ car(v)
| ~ chevy(v)
| ~ event(w)
| ~ city(x)
| ~ hollywood(x)
| ~ in(w,x)
| ~ barrel(w,v)
| ~ down(w,u)
| ssskC0 ),
file('NLP001-1.p',unknown),
[] ).
cnf(30,axiom,
( ~ chevy(u)
| ~ car(u)
| ~ white(u)
| ~ dirty(u)
| ~ old(u)
| ~ lonely(v)
| ~ way(v)
| ~ street(v)
| ~ event(w)
| ~ city(x)
| ~ hollywood(x)
| ~ in(w,x)
| ~ barrel(w,u)
| ~ down(w,v)
| ~ ssskC0 ),
file('NLP001-1.p',unknown),
[] ).
cnf(31,plain,
( ~ hollywood(u)
| ~ city(u)
| ~ event(v)
| ~ street(w)
| ~ way(w)
| ~ lonely(w)
| ~ old(x)
| ~ dirty(x)
| ~ white(x)
| ~ car(x)
| ~ chevy(x)
| ~ down(v,w)
| ~ barrel(v,x)
| ~ in(v,u) ),
inference(mrr,[status(thm)],[30,29]),
[iquote('0:MRR:30.14,29.14')] ).
cnf(54,plain,
ssskC0,
inference(spt,[spt(split,[position(s1)])],[15]),
[iquote('1:Spt:15.0')] ).
cnf(55,plain,
city(skc11),
inference(mrr,[status(thm)],[22,54]),
[iquote('1:MRR:22.0,54.0')] ).
cnf(56,plain,
car(skc9),
inference(mrr,[status(thm)],[21,54]),
[iquote('1:MRR:21.0,54.0')] ).
cnf(57,plain,
white(skc9),
inference(mrr,[status(thm)],[20,54]),
[iquote('1:MRR:20.0,54.0')] ).
cnf(58,plain,
dirty(skc9),
inference(mrr,[status(thm)],[19,54]),
[iquote('1:MRR:19.0,54.0')] ).
cnf(59,plain,
old(skc9),
inference(mrr,[status(thm)],[18,54]),
[iquote('1:MRR:18.0,54.0')] ).
cnf(60,plain,
way(skc8),
inference(mrr,[status(thm)],[17,54]),
[iquote('1:MRR:17.0,54.0')] ).
cnf(61,plain,
street(skc8),
inference(mrr,[status(thm)],[16,54]),
[iquote('1:MRR:16.0,54.0')] ).
cnf(62,plain,
in(skc10,skc11),
inference(mrr,[status(thm)],[28,54]),
[iquote('1:MRR:28.0,54.0')] ).
cnf(63,plain,
down(skc10,skc8),
inference(mrr,[status(thm)],[27,54]),
[iquote('1:MRR:27.0,54.0')] ).
cnf(64,plain,
barrel(skc10,skc9),
inference(mrr,[status(thm)],[26,54]),
[iquote('1:MRR:26.0,54.0')] ).
cnf(65,plain,
( ~ hollywood(u)
| ~ city(u)
| ~ event(skc10)
| ~ street(skc8)
| ~ way(skc8)
| ~ lonely(skc8)
| ~ old(v)
| ~ dirty(v)
| ~ white(v)
| ~ car(v)
| ~ chevy(v)
| ~ barrel(skc10,v)
| ~ in(skc10,u) ),
inference(res,[status(thm),theory(equality)],[63,31]),
[iquote('1:Res:63.0,31.11')] ).
cnf(66,plain,
( ~ hollywood(u)
| ~ city(u)
| ~ old(v)
| ~ dirty(v)
| ~ white(v)
| ~ car(v)
| ~ chevy(v)
| ~ barrel(skc10,v)
| ~ in(skc10,u) ),
inference(ssi,[status(thm)],[65,8,60,61,6]),
[iquote('1:SSi:65.5,65.4,65.3,65.2,8.0,60.0,61.0,8.0,60.0,61.0,8.0,60.0,61.0,6.0')] ).
cnf(67,plain,
( ~ hollywood(u)
| ~ city(u)
| ~ old(skc9)
| ~ dirty(skc9)
| ~ white(skc9)
| ~ car(skc9)
| ~ chevy(skc9)
| ~ in(skc10,u) ),
inference(res,[status(thm),theory(equality)],[64,66]),
[iquote('1:Res:64.0,66.7')] ).
cnf(68,plain,
( ~ hollywood(u)
| ~ city(u)
| ~ in(skc10,u) ),
inference(ssi,[status(thm)],[67,7,56,57,58,59]),
[iquote('1:SSi:67.6,67.5,67.4,67.3,67.2,7.0,56.0,57.0,58.0,59.0,7.0,56.0,57.0,58.0,59.0,7.0,56.0,57.0,58.0,59.0,7.0,56.0,57.0,58.0,59.0,7.0,56.0,57.0,58.0,59.0')] ).
cnf(69,plain,
( ~ hollywood(skc11)
| ~ city(skc11) ),
inference(res,[status(thm),theory(equality)],[62,68]),
[iquote('1:Res:62.0,68.2')] ).
cnf(70,plain,
$false,
inference(ssi,[status(thm)],[69,5,55]),
[iquote('1:SSi:69.1,69.0,5.0,55.0,5.0,55.0')] ).
cnf(71,plain,
~ ssskC0,
inference(spt,[spt(split,[position(sa)])],[70,54]),
[iquote('1:Spt:70.0,15.0,54.0')] ).
cnf(72,plain,
city(skc15),
inference(spt,[spt(split,[position(s2)])],[15]),
[iquote('1:Spt:70.0,15.1')] ).
cnf(73,plain,
way(skc13),
inference(mrr,[status(thm)],[14,71]),
[iquote('1:MRR:14.0,71.0')] ).
cnf(74,plain,
lonely(skc13),
inference(mrr,[status(thm)],[13,71]),
[iquote('1:MRR:13.0,71.0')] ).
cnf(75,plain,
dirty(skc12),
inference(mrr,[status(thm)],[12,71]),
[iquote('1:MRR:12.0,71.0')] ).
cnf(76,plain,
white(skc12),
inference(mrr,[status(thm)],[11,71]),
[iquote('1:MRR:11.0,71.0')] ).
cnf(77,plain,
car(skc12),
inference(mrr,[status(thm)],[10,71]),
[iquote('1:MRR:10.0,71.0')] ).
cnf(78,plain,
chevy(skc12),
inference(mrr,[status(thm)],[9,71]),
[iquote('1:MRR:9.0,71.0')] ).
cnf(79,plain,
in(skc14,skc15),
inference(mrr,[status(thm)],[25,71]),
[iquote('1:MRR:25.0,71.0')] ).
cnf(80,plain,
down(skc14,skc13),
inference(mrr,[status(thm)],[24,71]),
[iquote('1:MRR:24.0,71.0')] ).
cnf(81,plain,
barrel(skc14,skc12),
inference(mrr,[status(thm)],[23,71]),
[iquote('1:MRR:23.0,71.0')] ).
cnf(82,plain,
( ~ hollywood(u)
| ~ city(u)
| ~ event(skc14)
| ~ street(skc13)
| ~ way(skc13)
| ~ lonely(skc13)
| ~ old(v)
| ~ dirty(v)
| ~ white(v)
| ~ car(v)
| ~ chevy(v)
| ~ barrel(skc14,v)
| ~ in(skc14,u) ),
inference(res,[status(thm),theory(equality)],[80,31]),
[iquote('1:Res:80.0,31.11')] ).
cnf(83,plain,
( ~ hollywood(u)
| ~ city(u)
| ~ old(v)
| ~ dirty(v)
| ~ white(v)
| ~ car(v)
| ~ chevy(v)
| ~ barrel(skc14,v)
| ~ in(skc14,u) ),
inference(ssi,[status(thm)],[82,3,73,74,2]),
[iquote('1:SSi:82.5,82.4,82.3,82.2,3.0,73.0,74.0,3.0,73.0,74.0,3.0,73.0,74.0,2.0')] ).
cnf(84,plain,
( ~ hollywood(u)
| ~ city(u)
| ~ old(skc12)
| ~ dirty(skc12)
| ~ white(skc12)
| ~ car(skc12)
| ~ chevy(skc12)
| ~ in(skc14,u) ),
inference(res,[status(thm),theory(equality)],[81,83]),
[iquote('1:Res:81.0,83.7')] ).
cnf(85,plain,
( ~ hollywood(u)
| ~ city(u)
| ~ in(skc14,u) ),
inference(ssi,[status(thm)],[84,4,75,76,77,78]),
[iquote('1:SSi:84.6,84.5,84.4,84.3,84.2,4.0,75.0,76.0,77.0,78.0,4.0,75.0,76.0,77.0,78.0,4.0,75.0,76.0,77.0,78.0,4.0,75.0,76.0,77.0,78.0,4.0,75.0,76.0,77.0,78.0')] ).
cnf(86,plain,
( ~ hollywood(skc15)
| ~ city(skc15) ),
inference(res,[status(thm),theory(equality)],[79,85]),
[iquote('1:Res:79.0,85.2')] ).
cnf(87,plain,
$false,
inference(ssi,[status(thm)],[86,1,72]),
[iquote('1:SSi:86.1,86.0,1.0,72.0,1.0,72.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NLP001-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n029.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 : Fri Jul 1 12:45:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.42
% 0.20/0.42 SPASS V 3.9
% 0.20/0.42 SPASS beiseite: Proof found.
% 0.20/0.42 % SZS status Theorem
% 0.20/0.42 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.42 SPASS derived 17 clauses, backtracked 21 clauses, performed 1 splits and kept 58 clauses.
% 0.20/0.42 SPASS allocated 75669 KBytes.
% 0.20/0.42 SPASS spent 0:00:00.06 on the problem.
% 0.20/0.42 0:00:00.03 for the input.
% 0.20/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.42 0:00:00.00 for inferences.
% 0.20/0.42 0:00:00.00 for the backtracking.
% 0.20/0.42 0:00:00.00 for the reduction.
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 Here is a proof with depth 3, length 65 :
% 0.20/0.42 % SZS output start Refutation
% See solution above
% 0.20/0.43 Formulae used in the proof : clause1 clause2 clause3 clause4 clause5 clause6 clause7 clause8 clause9 clause10 clause11 clause12 clause13 clause14 clause15 clause16 clause17 clause18 clause19 clause20 clause21 clause22 clause23 clause24 clause25 clause26 clause27 clause28 clause29 clause30
% 0.20/0.43
%------------------------------------------------------------------------------