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 : n016.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 05:25:25 EDT 2022
% Result : Theorem 0.18s 0.44s
% Output : Refutation 0.18s
% 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 : 178 ( 0 equ; 116 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,
( skC0
| city(skc15) ),
file('NLP001+1.p',unknown),
[] ).
cnf(10,axiom,
( skC0
| way(skc13) ),
file('NLP001+1.p',unknown),
[] ).
cnf(11,axiom,
( skC0
| lonely(skc13) ),
file('NLP001+1.p',unknown),
[] ).
cnf(12,axiom,
( skC0
| dirty(skc12) ),
file('NLP001+1.p',unknown),
[] ).
cnf(13,axiom,
( skC0
| white(skc12) ),
file('NLP001+1.p',unknown),
[] ).
cnf(14,axiom,
( skC0
| car(skc12) ),
file('NLP001+1.p',unknown),
[] ).
cnf(15,axiom,
( skC0
| chevy(skc12) ),
file('NLP001+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ skC0
| city(skc11) ),
file('NLP001+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ skC0
| car(skc9) ),
file('NLP001+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ skC0
| white(skc9) ),
file('NLP001+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ skC0
| dirty(skc9) ),
file('NLP001+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ skC0
| old(skc9) ),
file('NLP001+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ skC0
| way(skc8) ),
file('NLP001+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ skC0
| street(skc8) ),
file('NLP001+1.p',unknown),
[] ).
cnf(23,axiom,
( skC0
| in(skc14,skc15) ),
file('NLP001+1.p',unknown),
[] ).
cnf(24,axiom,
( skC0
| down(skc14,skc13) ),
file('NLP001+1.p',unknown),
[] ).
cnf(25,axiom,
( skC0
| barrel(skc14,skc12) ),
file('NLP001+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ skC0
| in(skc10,skc11) ),
file('NLP001+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ skC0
| down(skc10,skc8) ),
file('NLP001+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ skC0
| barrel(skc10,skc9) ),
file('NLP001+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ hollywood(u)
| ~ city(u)
| ~ event(v)
| ~ chevy(w)
| ~ car(w)
| ~ white(w)
| ~ dirty(w)
| ~ old(w)
| ~ lonely(x)
| ~ way(x)
| ~ street(x)
| ~ in(v,u)
| ~ down(v,x)
| ~ barrel(v,w)
| skC0 ),
file('NLP001+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ hollywood(u)
| ~ city(u)
| ~ event(v)
| ~ street(w)
| ~ way(w)
| ~ lonely(w)
| ~ old(x)
| ~ dirty(x)
| ~ white(x)
| ~ car(x)
| ~ chevy(x)
| ~ in(v,u)
| ~ down(v,w)
| ~ barrel(v,x)
| ~ skC0 ),
file('NLP001+1.p',unknown),
[] ).
cnf(31,plain,
( ~ chevy(u)
| ~ car(u)
| ~ white(u)
| ~ dirty(u)
| ~ old(u)
| ~ lonely(v)
| ~ way(v)
| ~ street(v)
| ~ event(w)
| ~ city(x)
| ~ hollywood(x)
| ~ barrel(w,u)
| ~ down(w,v)
| ~ in(w,x) ),
inference(mrr,[status(thm)],[30,29]),
[iquote('0:MRR:30.14,29.14')] ).
cnf(54,plain,
skC0,
inference(spt,[spt(split,[position(s1)])],[15]),
[iquote('1:Spt:15.0')] ).
cnf(55,plain,
street(skc8),
inference(mrr,[status(thm)],[22,54]),
[iquote('1:MRR:22.0,54.0')] ).
cnf(56,plain,
way(skc8),
inference(mrr,[status(thm)],[21,54]),
[iquote('1:MRR:21.0,54.0')] ).
cnf(57,plain,
old(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,
white(skc9),
inference(mrr,[status(thm)],[18,54]),
[iquote('1:MRR:18.0,54.0')] ).
cnf(60,plain,
car(skc9),
inference(mrr,[status(thm)],[17,54]),
[iquote('1:MRR:17.0,54.0')] ).
cnf(61,plain,
city(skc11),
inference(mrr,[status(thm)],[16,54]),
[iquote('1:MRR:16.0,54.0')] ).
cnf(62,plain,
barrel(skc10,skc9),
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,
in(skc10,skc11),
inference(mrr,[status(thm)],[26,54]),
[iquote('1:MRR:26.0,54.0')] ).
cnf(65,plain,
( ~ chevy(skc9)
| ~ car(skc9)
| ~ white(skc9)
| ~ dirty(skc9)
| ~ old(skc9)
| ~ lonely(u)
| ~ way(u)
| ~ street(u)
| ~ event(skc10)
| ~ city(v)
| ~ hollywood(v)
| ~ down(skc10,u)
| ~ in(skc10,v) ),
inference(res,[status(thm),theory(equality)],[62,31]),
[iquote('1:Res:62.0,31.11')] ).
cnf(66,plain,
( ~ lonely(u)
| ~ way(u)
| ~ street(u)
| ~ city(v)
| ~ hollywood(v)
| ~ down(skc10,u)
| ~ in(skc10,v) ),
inference(ssi,[status(thm)],[65,6,7,57,58,59,60]),
[iquote('1:SSi:65.8,65.4,65.3,65.2,65.1,65.0,6.0,7.0,57.0,58.0,59.0,60.0,7.0,57.0,58.0,59.0,60.0,7.0,57.0,58.0,59.0,60.0,7.0,57.0,58.0,59.0,60.0,7.0,57.0,58.0,59.0,60.0')] ).
cnf(67,plain,
( ~ lonely(skc8)
| ~ way(skc8)
| ~ street(skc8)
| ~ city(u)
| ~ hollywood(u)
| ~ in(skc10,u) ),
inference(res,[status(thm),theory(equality)],[63,66]),
[iquote('1:Res:63.0,66.5')] ).
cnf(68,plain,
( ~ city(u)
| ~ hollywood(u)
| ~ in(skc10,u) ),
inference(ssi,[status(thm)],[67,8,55,56]),
[iquote('1:SSi:67.2,67.1,67.0,8.0,55.0,56.0,8.0,55.0,56.0,8.0,55.0,56.0')] ).
cnf(69,plain,
( ~ city(skc11)
| ~ hollywood(skc11) ),
inference(res,[status(thm),theory(equality)],[64,68]),
[iquote('1:Res:64.0,68.2')] ).
cnf(70,plain,
$false,
inference(ssi,[status(thm)],[69,5,61]),
[iquote('1:SSi:69.1,69.0,5.0,61.0,5.0,61.0')] ).
cnf(71,plain,
~ skC0,
inference(spt,[spt(split,[position(sa)])],[70,54]),
[iquote('1:Spt:70.0,15.0,54.0')] ).
cnf(72,plain,
chevy(skc12),
inference(spt,[spt(split,[position(s2)])],[15]),
[iquote('1:Spt:70.0,15.1')] ).
cnf(73,plain,
car(skc12),
inference(mrr,[status(thm)],[14,71]),
[iquote('1:MRR:14.0,71.0')] ).
cnf(74,plain,
white(skc12),
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,
lonely(skc13),
inference(mrr,[status(thm)],[11,71]),
[iquote('1:MRR:11.0,71.0')] ).
cnf(77,plain,
way(skc13),
inference(mrr,[status(thm)],[10,71]),
[iquote('1:MRR:10.0,71.0')] ).
cnf(78,plain,
city(skc15),
inference(mrr,[status(thm)],[9,71]),
[iquote('1:MRR:9.0,71.0')] ).
cnf(79,plain,
barrel(skc14,skc12),
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,
in(skc14,skc15),
inference(mrr,[status(thm)],[23,71]),
[iquote('1:MRR:23.0,71.0')] ).
cnf(82,plain,
( ~ chevy(skc12)
| ~ car(skc12)
| ~ white(skc12)
| ~ dirty(skc12)
| ~ old(skc12)
| ~ lonely(u)
| ~ way(u)
| ~ street(u)
| ~ event(skc14)
| ~ city(v)
| ~ hollywood(v)
| ~ down(skc14,u)
| ~ in(skc14,v) ),
inference(res,[status(thm),theory(equality)],[79,31]),
[iquote('1:Res:79.0,31.11')] ).
cnf(83,plain,
( ~ lonely(u)
| ~ way(u)
| ~ street(u)
| ~ city(v)
| ~ hollywood(v)
| ~ down(skc14,u)
| ~ in(skc14,v) ),
inference(ssi,[status(thm)],[82,2,4,72,73,74,75]),
[iquote('1:SSi:82.8,82.4,82.3,82.2,82.1,82.0,2.0,4.0,72.0,73.0,74.0,75.0,4.0,72.0,73.0,74.0,75.0,4.0,72.0,73.0,74.0,75.0,4.0,72.0,73.0,74.0,75.0,4.0,72.0,73.0,74.0,75.0')] ).
cnf(84,plain,
( ~ lonely(skc13)
| ~ way(skc13)
| ~ street(skc13)
| ~ city(u)
| ~ hollywood(u)
| ~ in(skc14,u) ),
inference(res,[status(thm),theory(equality)],[80,83]),
[iquote('1:Res:80.0,83.5')] ).
cnf(85,plain,
( ~ city(u)
| ~ hollywood(u)
| ~ in(skc14,u) ),
inference(ssi,[status(thm)],[84,3,76,77]),
[iquote('1:SSi:84.2,84.1,84.0,3.0,76.0,77.0,3.0,76.0,77.0,3.0,76.0,77.0')] ).
cnf(86,plain,
( ~ city(skc15)
| ~ hollywood(skc15) ),
inference(res,[status(thm),theory(equality)],[81,85]),
[iquote('1:Res:81.0,85.2')] ).
cnf(87,plain,
$false,
inference(ssi,[status(thm)],[86,1,78]),
[iquote('1:SSi:86.1,86.0,1.0,78.0,1.0,78.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NLP001+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.11/0.33 % Computer : n016.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Fri Jul 1 00:21:56 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44
% 0.18/0.44 SPASS V 3.9
% 0.18/0.44 SPASS beiseite: Proof found.
% 0.18/0.44 % SZS status Theorem
% 0.18/0.44 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 SPASS derived 17 clauses, backtracked 21 clauses, performed 1 splits and kept 58 clauses.
% 0.18/0.44 SPASS allocated 97653 KBytes.
% 0.18/0.44 SPASS spent 0:00:00.09 on the problem.
% 0.18/0.44 0:00:00.04 for the input.
% 0.18/0.44 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.44 0:00:00.00 for inferences.
% 0.18/0.44 0:00:00.00 for the backtracking.
% 0.18/0.44 0:00:00.00 for the reduction.
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 Here is a proof with depth 3, length 65 :
% 0.18/0.44 % SZS output start Refutation
% See solution above
% 0.18/0.44 Formulae used in the proof : co1
% 0.18/0.44
%------------------------------------------------------------------------------