TSTP Solution File: NLP117+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NLP117+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 05:27:04 EDT 2022
% Result : Theorem 0.18s 0.44s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 36
% Syntax : Number of clauses : 89 ( 38 unt; 16 nHn; 89 RR)
% Number of literals : 279 ( 0 equ; 193 neg)
% Maximal clause size : 18 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 2 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 18 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
actual_world(skc18),
file('NLP117+1.p',unknown),
[] ).
cnf(2,axiom,
actual_world(skc12),
file('NLP117+1.p',unknown),
[] ).
cnf(3,axiom,
( skC0
| lonely(skc18,skc20) ),
file('NLP117+1.p',unknown),
[] ).
cnf(4,axiom,
( skC0
| street(skc18,skc20) ),
file('NLP117+1.p',unknown),
[] ).
cnf(5,axiom,
( skC0
| city(skc18,skc22) ),
file('NLP117+1.p',unknown),
[] ).
cnf(6,axiom,
( skC0
| placename(skc18,skc21) ),
file('NLP117+1.p',unknown),
[] ).
cnf(7,axiom,
( skC0
| hollywood_placename(skc18,skc21) ),
file('NLP117+1.p',unknown),
[] ).
cnf(8,axiom,
( skC0
| event(skc18,skc19) ),
file('NLP117+1.p',unknown),
[] ).
cnf(9,axiom,
( skC0
| present(skc18,skc19) ),
file('NLP117+1.p',unknown),
[] ).
cnf(10,axiom,
( skC0
| barrel(skc18,skc19) ),
file('NLP117+1.p',unknown),
[] ).
cnf(11,axiom,
( skC0
| chevy(skc18,skc23) ),
file('NLP117+1.p',unknown),
[] ).
cnf(12,axiom,
( skC0
| white(skc18,skc23) ),
file('NLP117+1.p',unknown),
[] ).
cnf(13,axiom,
( skC0
| dirty(skc18,skc23) ),
file('NLP117+1.p',unknown),
[] ).
cnf(14,axiom,
( skC0
| old(skc18,skc23) ),
file('NLP117+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ skC0
| old(skc12,skc14) ),
file('NLP117+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ skC0
| dirty(skc12,skc14) ),
file('NLP117+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ skC0
| white(skc12,skc14) ),
file('NLP117+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ skC0
| chevy(skc12,skc14) ),
file('NLP117+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ skC0
| city(skc12,skc16) ),
file('NLP117+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ skC0
| placename(skc12,skc15) ),
file('NLP117+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ skC0
| hollywood_placename(skc12,skc15) ),
file('NLP117+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ skC0
| event(skc12,skc13) ),
file('NLP117+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ skC0
| present(skc12,skc13) ),
file('NLP117+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ skC0
| barrel(skc12,skc13) ),
file('NLP117+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ skC0
| street(skc12,skc17) ),
file('NLP117+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ skC0
| lonely(skc12,skc17) ),
file('NLP117+1.p',unknown),
[] ).
cnf(27,axiom,
( skC0
| down(skc18,skc19,skc20) ),
file('NLP117+1.p',unknown),
[] ).
cnf(28,axiom,
( skC0
| of(skc18,skc21,skc22) ),
file('NLP117+1.p',unknown),
[] ).
cnf(29,axiom,
( skC0
| in(skc18,skc19,skc22) ),
file('NLP117+1.p',unknown),
[] ).
cnf(30,axiom,
( skC0
| agent(skc18,skc19,skc23) ),
file('NLP117+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ skC0
| agent(skc12,skc13,skc14) ),
file('NLP117+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ skC0
| of(skc12,skc15,skc16) ),
file('NLP117+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ skC0
| in(skc12,skc13,skc16) ),
file('NLP117+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ skC0
| down(skc12,skc13,skc17) ),
file('NLP117+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ actual_world(u)
| ~ agent(u,v,w)
| ~ old(u,w)
| ~ dirty(u,w)
| ~ white(u,w)
| ~ chevy(u,w)
| ~ of(u,x,y)
| ~ city(u,y)
| ~ in(u,v,y)
| ~ placename(u,x)
| ~ hollywood_placename(u,x)
| ~ event(u,v)
| ~ present(u,v)
| ~ barrel(u,v)
| ~ street(u,z)
| ~ lonely(u,z)
| ~ down(u,v,z)
| skC0 ),
file('NLP117+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ actual_world(u)
| ~ down(u,v,w)
| ~ lonely(u,w)
| ~ street(u,w)
| ~ of(u,x,y)
| ~ city(u,y)
| ~ in(u,v,y)
| ~ placename(u,x)
| ~ hollywood_placename(u,x)
| ~ event(u,v)
| ~ present(u,v)
| ~ barrel(u,v)
| ~ chevy(u,z)
| ~ white(u,z)
| ~ dirty(u,z)
| ~ old(u,z)
| ~ agent(u,v,z)
| ~ skC0 ),
file('NLP117+1.p',unknown),
[] ).
cnf(37,plain,
( ~ actual_world(u)
| ~ old(u,v)
| ~ dirty(u,v)
| ~ white(u,v)
| ~ chevy(u,v)
| ~ barrel(u,w)
| ~ present(u,w)
| ~ event(u,w)
| ~ hollywood_placename(u,x)
| ~ placename(u,x)
| ~ city(u,y)
| ~ street(u,z)
| ~ lonely(u,z)
| ~ agent(u,w,v)
| ~ in(u,w,y)
| ~ of(u,x,y)
| ~ down(u,w,z) ),
inference(mrr,[status(thm)],[36,35]),
[iquote('0:MRR:36.17,35.17')] ).
cnf(40,plain,
skC0,
inference(spt,[spt(split,[position(s1)])],[14]),
[iquote('1:Spt:14.0')] ).
cnf(41,plain,
lonely(skc12,skc17),
inference(mrr,[status(thm)],[26,40]),
[iquote('1:MRR:26.0,40.0')] ).
cnf(42,plain,
street(skc12,skc17),
inference(mrr,[status(thm)],[25,40]),
[iquote('1:MRR:25.0,40.0')] ).
cnf(43,plain,
barrel(skc12,skc13),
inference(mrr,[status(thm)],[24,40]),
[iquote('1:MRR:24.0,40.0')] ).
cnf(44,plain,
present(skc12,skc13),
inference(mrr,[status(thm)],[23,40]),
[iquote('1:MRR:23.0,40.0')] ).
cnf(45,plain,
event(skc12,skc13),
inference(mrr,[status(thm)],[22,40]),
[iquote('1:MRR:22.0,40.0')] ).
cnf(46,plain,
hollywood_placename(skc12,skc15),
inference(mrr,[status(thm)],[21,40]),
[iquote('1:MRR:21.0,40.0')] ).
cnf(47,plain,
placename(skc12,skc15),
inference(mrr,[status(thm)],[20,40]),
[iquote('1:MRR:20.0,40.0')] ).
cnf(48,plain,
city(skc12,skc16),
inference(mrr,[status(thm)],[19,40]),
[iquote('1:MRR:19.0,40.0')] ).
cnf(49,plain,
chevy(skc12,skc14),
inference(mrr,[status(thm)],[18,40]),
[iquote('1:MRR:18.0,40.0')] ).
cnf(50,plain,
white(skc12,skc14),
inference(mrr,[status(thm)],[17,40]),
[iquote('1:MRR:17.0,40.0')] ).
cnf(51,plain,
dirty(skc12,skc14),
inference(mrr,[status(thm)],[16,40]),
[iquote('1:MRR:16.0,40.0')] ).
cnf(52,plain,
old(skc12,skc14),
inference(mrr,[status(thm)],[15,40]),
[iquote('1:MRR:15.0,40.0')] ).
cnf(53,plain,
down(skc12,skc13,skc17),
inference(mrr,[status(thm)],[34,40]),
[iquote('1:MRR:34.0,40.0')] ).
cnf(54,plain,
in(skc12,skc13,skc16),
inference(mrr,[status(thm)],[33,40]),
[iquote('1:MRR:33.0,40.0')] ).
cnf(55,plain,
of(skc12,skc15,skc16),
inference(mrr,[status(thm)],[32,40]),
[iquote('1:MRR:32.0,40.0')] ).
cnf(56,plain,
agent(skc12,skc13,skc14),
inference(mrr,[status(thm)],[31,40]),
[iquote('1:MRR:31.0,40.0')] ).
cnf(57,plain,
( ~ actual_world(skc12)
| ~ old(skc12,skc14)
| ~ dirty(skc12,skc14)
| ~ white(skc12,skc14)
| ~ chevy(skc12,skc14)
| ~ barrel(skc12,skc13)
| ~ present(skc12,skc13)
| ~ event(skc12,skc13)
| ~ hollywood_placename(skc12,u)
| ~ placename(skc12,u)
| ~ city(skc12,v)
| ~ street(skc12,w)
| ~ lonely(skc12,w)
| ~ in(skc12,skc13,v)
| ~ of(skc12,u,v)
| ~ down(skc12,skc13,w) ),
inference(res,[status(thm),theory(equality)],[56,37]),
[iquote('1:Res:56.0,37.13')] ).
cnf(58,plain,
( ~ old(skc12,skc14)
| ~ dirty(skc12,skc14)
| ~ white(skc12,skc14)
| ~ chevy(skc12,skc14)
| ~ barrel(skc12,skc13)
| ~ present(skc12,skc13)
| ~ event(skc12,skc13)
| ~ hollywood_placename(skc12,u)
| ~ placename(skc12,u)
| ~ city(skc12,v)
| ~ street(skc12,w)
| ~ lonely(skc12,w)
| ~ in(skc12,skc13,v)
| ~ of(skc12,u,v)
| ~ down(skc12,skc13,w) ),
inference(ssi,[status(thm)],[57,2]),
[iquote('1:SSi:57.0,2.0')] ).
cnf(59,plain,
( ~ hollywood_placename(skc12,u)
| ~ placename(skc12,u)
| ~ city(skc12,v)
| ~ street(skc12,w)
| ~ lonely(skc12,w)
| ~ in(skc12,skc13,v)
| ~ of(skc12,u,v)
| ~ down(skc12,skc13,w) ),
inference(mrr,[status(thm)],[58,52,51,50,49,43,44,45]),
[iquote('1:MRR:58.0,58.1,58.2,58.3,58.4,58.5,58.6,52.0,51.0,50.0,49.0,43.0,44.0,45.0')] ).
cnf(60,plain,
( ~ hollywood_placename(skc12,u)
| ~ placename(skc12,u)
| ~ city(skc12,skc16)
| ~ street(skc12,v)
| ~ lonely(skc12,v)
| ~ of(skc12,u,skc16)
| ~ down(skc12,skc13,v) ),
inference(res,[status(thm),theory(equality)],[54,59]),
[iquote('1:Res:54.0,59.5')] ).
cnf(61,plain,
( ~ hollywood_placename(skc12,u)
| ~ placename(skc12,u)
| ~ street(skc12,v)
| ~ lonely(skc12,v)
| ~ of(skc12,u,skc16)
| ~ down(skc12,skc13,v) ),
inference(mrr,[status(thm)],[60,48]),
[iquote('1:MRR:60.2,48.0')] ).
cnf(62,plain,
( ~ hollywood_placename(skc12,skc15)
| ~ placename(skc12,skc15)
| ~ street(skc12,u)
| ~ lonely(skc12,u)
| ~ down(skc12,skc13,u) ),
inference(res,[status(thm),theory(equality)],[55,61]),
[iquote('1:Res:55.0,61.4')] ).
cnf(63,plain,
( ~ street(skc12,u)
| ~ lonely(skc12,u)
| ~ down(skc12,skc13,u) ),
inference(mrr,[status(thm)],[62,46,47]),
[iquote('1:MRR:62.0,62.1,46.0,47.0')] ).
cnf(64,plain,
( ~ street(skc12,skc17)
| ~ lonely(skc12,skc17) ),
inference(res,[status(thm),theory(equality)],[53,63]),
[iquote('1:Res:53.0,63.2')] ).
cnf(65,plain,
$false,
inference(mrr,[status(thm)],[64,42,41]),
[iquote('1:MRR:64.0,64.1,42.0,41.0')] ).
cnf(66,plain,
~ skC0,
inference(spt,[spt(split,[position(sa)])],[65,40]),
[iquote('1:Spt:65.0,14.0,40.0')] ).
cnf(67,plain,
old(skc18,skc23),
inference(spt,[spt(split,[position(s2)])],[14]),
[iquote('1:Spt:65.0,14.1')] ).
cnf(68,plain,
dirty(skc18,skc23),
inference(mrr,[status(thm)],[13,66]),
[iquote('1:MRR:13.0,66.0')] ).
cnf(69,plain,
white(skc18,skc23),
inference(mrr,[status(thm)],[12,66]),
[iquote('1:MRR:12.0,66.0')] ).
cnf(70,plain,
chevy(skc18,skc23),
inference(mrr,[status(thm)],[11,66]),
[iquote('1:MRR:11.0,66.0')] ).
cnf(71,plain,
barrel(skc18,skc19),
inference(mrr,[status(thm)],[10,66]),
[iquote('1:MRR:10.0,66.0')] ).
cnf(72,plain,
present(skc18,skc19),
inference(mrr,[status(thm)],[9,66]),
[iquote('1:MRR:9.0,66.0')] ).
cnf(73,plain,
event(skc18,skc19),
inference(mrr,[status(thm)],[8,66]),
[iquote('1:MRR:8.0,66.0')] ).
cnf(74,plain,
hollywood_placename(skc18,skc21),
inference(mrr,[status(thm)],[7,66]),
[iquote('1:MRR:7.0,66.0')] ).
cnf(75,plain,
placename(skc18,skc21),
inference(mrr,[status(thm)],[6,66]),
[iquote('1:MRR:6.0,66.0')] ).
cnf(76,plain,
city(skc18,skc22),
inference(mrr,[status(thm)],[5,66]),
[iquote('1:MRR:5.0,66.0')] ).
cnf(77,plain,
street(skc18,skc20),
inference(mrr,[status(thm)],[4,66]),
[iquote('1:MRR:4.0,66.0')] ).
cnf(78,plain,
lonely(skc18,skc20),
inference(mrr,[status(thm)],[3,66]),
[iquote('1:MRR:3.0,66.0')] ).
cnf(79,plain,
agent(skc18,skc19,skc23),
inference(mrr,[status(thm)],[30,66]),
[iquote('1:MRR:30.0,66.0')] ).
cnf(80,plain,
in(skc18,skc19,skc22),
inference(mrr,[status(thm)],[29,66]),
[iquote('1:MRR:29.0,66.0')] ).
cnf(81,plain,
of(skc18,skc21,skc22),
inference(mrr,[status(thm)],[28,66]),
[iquote('1:MRR:28.0,66.0')] ).
cnf(82,plain,
down(skc18,skc19,skc20),
inference(mrr,[status(thm)],[27,66]),
[iquote('1:MRR:27.0,66.0')] ).
cnf(83,plain,
( ~ actual_world(skc18)
| ~ old(skc18,skc23)
| ~ dirty(skc18,skc23)
| ~ white(skc18,skc23)
| ~ chevy(skc18,skc23)
| ~ barrel(skc18,skc19)
| ~ present(skc18,skc19)
| ~ event(skc18,skc19)
| ~ hollywood_placename(skc18,u)
| ~ placename(skc18,u)
| ~ city(skc18,v)
| ~ street(skc18,w)
| ~ lonely(skc18,w)
| ~ in(skc18,skc19,v)
| ~ of(skc18,u,v)
| ~ down(skc18,skc19,w) ),
inference(res,[status(thm),theory(equality)],[79,37]),
[iquote('1:Res:79.0,37.13')] ).
cnf(84,plain,
( ~ old(skc18,skc23)
| ~ dirty(skc18,skc23)
| ~ white(skc18,skc23)
| ~ chevy(skc18,skc23)
| ~ barrel(skc18,skc19)
| ~ present(skc18,skc19)
| ~ event(skc18,skc19)
| ~ hollywood_placename(skc18,u)
| ~ placename(skc18,u)
| ~ city(skc18,v)
| ~ street(skc18,w)
| ~ lonely(skc18,w)
| ~ in(skc18,skc19,v)
| ~ of(skc18,u,v)
| ~ down(skc18,skc19,w) ),
inference(ssi,[status(thm)],[83,1]),
[iquote('1:SSi:83.0,1.0')] ).
cnf(85,plain,
( ~ hollywood_placename(skc18,u)
| ~ placename(skc18,u)
| ~ city(skc18,v)
| ~ street(skc18,w)
| ~ lonely(skc18,w)
| ~ in(skc18,skc19,v)
| ~ of(skc18,u,v)
| ~ down(skc18,skc19,w) ),
inference(mrr,[status(thm)],[84,67,68,69,70,71,72,73]),
[iquote('1:MRR:84.0,84.1,84.2,84.3,84.4,84.5,84.6,67.0,68.0,69.0,70.0,71.0,72.0,73.0')] ).
cnf(86,plain,
( ~ hollywood_placename(skc18,u)
| ~ placename(skc18,u)
| ~ city(skc18,skc22)
| ~ street(skc18,v)
| ~ lonely(skc18,v)
| ~ of(skc18,u,skc22)
| ~ down(skc18,skc19,v) ),
inference(res,[status(thm),theory(equality)],[80,85]),
[iquote('1:Res:80.0,85.5')] ).
cnf(87,plain,
( ~ hollywood_placename(skc18,u)
| ~ placename(skc18,u)
| ~ street(skc18,v)
| ~ lonely(skc18,v)
| ~ of(skc18,u,skc22)
| ~ down(skc18,skc19,v) ),
inference(mrr,[status(thm)],[86,76]),
[iquote('1:MRR:86.2,76.0')] ).
cnf(88,plain,
( ~ hollywood_placename(skc18,skc21)
| ~ placename(skc18,skc21)
| ~ street(skc18,u)
| ~ lonely(skc18,u)
| ~ down(skc18,skc19,u) ),
inference(res,[status(thm),theory(equality)],[81,87]),
[iquote('1:Res:81.0,87.4')] ).
cnf(89,plain,
( ~ street(skc18,u)
| ~ lonely(skc18,u)
| ~ down(skc18,skc19,u) ),
inference(mrr,[status(thm)],[88,74,75]),
[iquote('1:MRR:88.0,88.1,74.0,75.0')] ).
cnf(90,plain,
( ~ street(skc18,skc20)
| ~ lonely(skc18,skc20) ),
inference(res,[status(thm),theory(equality)],[82,89]),
[iquote('1:Res:82.0,89.2')] ).
cnf(91,plain,
$false,
inference(mrr,[status(thm)],[90,77,78]),
[iquote('1:MRR:90.0,90.1,77.0,78.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NLP117+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n014.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 : Fri Jul 1 09:32:11 EDT 2022
% 0.12/0.33 % 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 25 clauses, backtracked 33 clauses, performed 1 splits and kept 78 clauses.
% 0.18/0.44 SPASS allocated 97710 KBytes.
% 0.18/0.44 SPASS spent 0:00:00.10 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 0:00:00.01 for the reduction.
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 Here is a proof with depth 4, length 89 :
% 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
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