TSTP Solution File: NLP122+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NLP122+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 05:27:07 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 36
% Syntax : Number of clauses : 86 ( 38 unt; 16 nHn; 86 RR)
% Number of literals : 256 ( 0 equ; 170 neg)
% Maximal clause size : 18 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 2 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 15 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
actual_world(skc15),
file('NLP122+1.p',unknown),
[] ).
cnf(2,axiom,
actual_world(skc10),
file('NLP122+1.p',unknown),
[] ).
cnf(3,axiom,
( skC0
| street(skc15,skc17) ),
file('NLP122+1.p',unknown),
[] ).
cnf(4,axiom,
( skC0
| lonely(skc15,skc17) ),
file('NLP122+1.p',unknown),
[] ).
cnf(5,axiom,
( skC0
| barrel(skc15,skc16) ),
file('NLP122+1.p',unknown),
[] ).
cnf(6,axiom,
( skC0
| present(skc15,skc16) ),
file('NLP122+1.p',unknown),
[] ).
cnf(7,axiom,
( skC0
| event(skc15,skc16) ),
file('NLP122+1.p',unknown),
[] ).
cnf(8,axiom,
( skC0
| hollywood_placename(skc15,skc19) ),
file('NLP122+1.p',unknown),
[] ).
cnf(9,axiom,
( skC0
| placename(skc15,skc19) ),
file('NLP122+1.p',unknown),
[] ).
cnf(10,axiom,
( skC0
| old(skc15,skc18) ),
file('NLP122+1.p',unknown),
[] ).
cnf(11,axiom,
( skC0
| dirty(skc15,skc18) ),
file('NLP122+1.p',unknown),
[] ).
cnf(12,axiom,
( skC0
| white(skc15,skc18) ),
file('NLP122+1.p',unknown),
[] ).
cnf(13,axiom,
( skC0
| chevy(skc15,skc18) ),
file('NLP122+1.p',unknown),
[] ).
cnf(14,axiom,
( skC0
| city(skc15,skc18) ),
file('NLP122+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ skC0
| placename(skc10,skc13) ),
file('NLP122+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ skC0
| hollywood_placename(skc10,skc13) ),
file('NLP122+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ skC0
| city(skc10,skc12) ),
file('NLP122+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ skC0
| chevy(skc10,skc12) ),
file('NLP122+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ skC0
| white(skc10,skc12) ),
file('NLP122+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ skC0
| dirty(skc10,skc12) ),
file('NLP122+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ skC0
| old(skc10,skc12) ),
file('NLP122+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ skC0
| street(skc10,skc14) ),
file('NLP122+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ skC0
| lonely(skc10,skc14) ),
file('NLP122+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ skC0
| barrel(skc10,skc11) ),
file('NLP122+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ skC0
| present(skc10,skc11) ),
file('NLP122+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ skC0
| event(skc10,skc11) ),
file('NLP122+1.p',unknown),
[] ).
cnf(27,axiom,
( skC0
| down(skc15,skc16,skc17) ),
file('NLP122+1.p',unknown),
[] ).
cnf(28,axiom,
( skC0
| of(skc15,skc19,skc18) ),
file('NLP122+1.p',unknown),
[] ).
cnf(29,axiom,
( skC0
| in(skc15,skc16,skc18) ),
file('NLP122+1.p',unknown),
[] ).
cnf(30,axiom,
( skC0
| agent(skc15,skc16,skc18) ),
file('NLP122+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ skC0
| of(skc10,skc13,skc12) ),
file('NLP122+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ skC0
| agent(skc10,skc11,skc12) ),
file('NLP122+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ skC0
| in(skc10,skc11,skc12) ),
file('NLP122+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ skC0
| down(skc10,skc11,skc14) ),
file('NLP122+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ actual_world(u)
| ~ placename(u,v)
| ~ hollywood_placename(u,v)
| ~ of(u,v,w)
| ~ city(u,w)
| ~ chevy(u,w)
| ~ white(u,w)
| ~ dirty(u,w)
| ~ old(u,w)
| ~ agent(u,x,w)
| ~ in(u,x,w)
| ~ street(u,y)
| ~ lonely(u,y)
| ~ down(u,x,y)
| ~ barrel(u,x)
| ~ present(u,x)
| ~ event(u,x)
| skC0 ),
file('NLP122+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ actual_world(u)
| ~ street(u,v)
| ~ lonely(u,v)
| ~ down(u,w,v)
| ~ barrel(u,w)
| ~ present(u,w)
| ~ event(u,w)
| ~ of(u,x,y)
| ~ hollywood_placename(u,x)
| ~ placename(u,x)
| ~ in(u,w,y)
| ~ agent(u,w,y)
| ~ old(u,y)
| ~ dirty(u,y)
| ~ white(u,y)
| ~ chevy(u,y)
| ~ city(u,y)
| ~ skC0 ),
file('NLP122+1.p',unknown),
[] ).
cnf(37,plain,
( ~ actual_world(u)
| ~ city(u,v)
| ~ chevy(u,v)
| ~ white(u,v)
| ~ dirty(u,v)
| ~ old(u,v)
| ~ placename(u,w)
| ~ hollywood_placename(u,w)
| ~ event(u,x)
| ~ present(u,x)
| ~ barrel(u,x)
| ~ lonely(u,y)
| ~ street(u,y)
| ~ agent(u,x,v)
| ~ in(u,x,v)
| ~ of(u,w,v)
| ~ down(u,x,y) ),
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,
event(skc10,skc11),
inference(mrr,[status(thm)],[26,40]),
[iquote('1:MRR:26.0,40.0')] ).
cnf(42,plain,
present(skc10,skc11),
inference(mrr,[status(thm)],[25,40]),
[iquote('1:MRR:25.0,40.0')] ).
cnf(43,plain,
barrel(skc10,skc11),
inference(mrr,[status(thm)],[24,40]),
[iquote('1:MRR:24.0,40.0')] ).
cnf(44,plain,
lonely(skc10,skc14),
inference(mrr,[status(thm)],[23,40]),
[iquote('1:MRR:23.0,40.0')] ).
cnf(45,plain,
street(skc10,skc14),
inference(mrr,[status(thm)],[22,40]),
[iquote('1:MRR:22.0,40.0')] ).
cnf(46,plain,
old(skc10,skc12),
inference(mrr,[status(thm)],[21,40]),
[iquote('1:MRR:21.0,40.0')] ).
cnf(47,plain,
dirty(skc10,skc12),
inference(mrr,[status(thm)],[20,40]),
[iquote('1:MRR:20.0,40.0')] ).
cnf(48,plain,
white(skc10,skc12),
inference(mrr,[status(thm)],[19,40]),
[iquote('1:MRR:19.0,40.0')] ).
cnf(49,plain,
chevy(skc10,skc12),
inference(mrr,[status(thm)],[18,40]),
[iquote('1:MRR:18.0,40.0')] ).
cnf(50,plain,
city(skc10,skc12),
inference(mrr,[status(thm)],[17,40]),
[iquote('1:MRR:17.0,40.0')] ).
cnf(51,plain,
hollywood_placename(skc10,skc13),
inference(mrr,[status(thm)],[16,40]),
[iquote('1:MRR:16.0,40.0')] ).
cnf(52,plain,
placename(skc10,skc13),
inference(mrr,[status(thm)],[15,40]),
[iquote('1:MRR:15.0,40.0')] ).
cnf(53,plain,
down(skc10,skc11,skc14),
inference(mrr,[status(thm)],[34,40]),
[iquote('1:MRR:34.0,40.0')] ).
cnf(54,plain,
in(skc10,skc11,skc12),
inference(mrr,[status(thm)],[33,40]),
[iquote('1:MRR:33.0,40.0')] ).
cnf(55,plain,
agent(skc10,skc11,skc12),
inference(mrr,[status(thm)],[32,40]),
[iquote('1:MRR:32.0,40.0')] ).
cnf(56,plain,
of(skc10,skc13,skc12),
inference(mrr,[status(thm)],[31,40]),
[iquote('1:MRR:31.0,40.0')] ).
cnf(57,plain,
( ~ actual_world(skc10)
| ~ city(skc10,skc12)
| ~ chevy(skc10,skc12)
| ~ white(skc10,skc12)
| ~ dirty(skc10,skc12)
| ~ old(skc10,skc12)
| ~ placename(skc10,u)
| ~ hollywood_placename(skc10,u)
| ~ event(skc10,skc11)
| ~ present(skc10,skc11)
| ~ barrel(skc10,skc11)
| ~ lonely(skc10,v)
| ~ street(skc10,v)
| ~ in(skc10,skc11,skc12)
| ~ of(skc10,u,skc12)
| ~ down(skc10,skc11,v) ),
inference(res,[status(thm),theory(equality)],[55,37]),
[iquote('1:Res:55.0,37.13')] ).
cnf(58,plain,
( ~ city(skc10,skc12)
| ~ chevy(skc10,skc12)
| ~ white(skc10,skc12)
| ~ dirty(skc10,skc12)
| ~ old(skc10,skc12)
| ~ placename(skc10,u)
| ~ hollywood_placename(skc10,u)
| ~ event(skc10,skc11)
| ~ present(skc10,skc11)
| ~ barrel(skc10,skc11)
| ~ lonely(skc10,v)
| ~ street(skc10,v)
| ~ in(skc10,skc11,skc12)
| ~ of(skc10,u,skc12)
| ~ down(skc10,skc11,v) ),
inference(ssi,[status(thm)],[57,2]),
[iquote('1:SSi:57.0,2.0')] ).
cnf(59,plain,
( ~ placename(skc10,u)
| ~ hollywood_placename(skc10,u)
| ~ lonely(skc10,v)
| ~ street(skc10,v)
| ~ of(skc10,u,skc12)
| ~ down(skc10,skc11,v) ),
inference(mrr,[status(thm)],[58,50,49,48,47,46,41,42,43,54]),
[iquote('1:MRR:58.0,58.1,58.2,58.3,58.4,58.7,58.8,58.9,58.12,50.0,49.0,48.0,47.0,46.0,41.0,42.0,43.0,54.0')] ).
cnf(60,plain,
( ~ placename(skc10,skc13)
| ~ hollywood_placename(skc10,skc13)
| ~ lonely(skc10,u)
| ~ street(skc10,u)
| ~ down(skc10,skc11,u) ),
inference(res,[status(thm),theory(equality)],[56,59]),
[iquote('1:Res:56.0,59.4')] ).
cnf(61,plain,
( ~ lonely(skc10,u)
| ~ street(skc10,u)
| ~ down(skc10,skc11,u) ),
inference(mrr,[status(thm)],[60,52,51]),
[iquote('1:MRR:60.0,60.1,52.0,51.0')] ).
cnf(62,plain,
( ~ lonely(skc10,skc14)
| ~ street(skc10,skc14) ),
inference(res,[status(thm),theory(equality)],[53,61]),
[iquote('1:Res:53.0,61.2')] ).
cnf(63,plain,
$false,
inference(mrr,[status(thm)],[62,44,45]),
[iquote('1:MRR:62.0,62.1,44.0,45.0')] ).
cnf(64,plain,
~ skC0,
inference(spt,[spt(split,[position(sa)])],[63,40]),
[iquote('1:Spt:63.0,14.0,40.0')] ).
cnf(65,plain,
city(skc15,skc18),
inference(spt,[spt(split,[position(s2)])],[14]),
[iquote('1:Spt:63.0,14.1')] ).
cnf(66,plain,
chevy(skc15,skc18),
inference(mrr,[status(thm)],[13,64]),
[iquote('1:MRR:13.0,64.0')] ).
cnf(67,plain,
white(skc15,skc18),
inference(mrr,[status(thm)],[12,64]),
[iquote('1:MRR:12.0,64.0')] ).
cnf(68,plain,
dirty(skc15,skc18),
inference(mrr,[status(thm)],[11,64]),
[iquote('1:MRR:11.0,64.0')] ).
cnf(69,plain,
old(skc15,skc18),
inference(mrr,[status(thm)],[10,64]),
[iquote('1:MRR:10.0,64.0')] ).
cnf(70,plain,
placename(skc15,skc19),
inference(mrr,[status(thm)],[9,64]),
[iquote('1:MRR:9.0,64.0')] ).
cnf(71,plain,
hollywood_placename(skc15,skc19),
inference(mrr,[status(thm)],[8,64]),
[iquote('1:MRR:8.0,64.0')] ).
cnf(72,plain,
event(skc15,skc16),
inference(mrr,[status(thm)],[7,64]),
[iquote('1:MRR:7.0,64.0')] ).
cnf(73,plain,
present(skc15,skc16),
inference(mrr,[status(thm)],[6,64]),
[iquote('1:MRR:6.0,64.0')] ).
cnf(74,plain,
barrel(skc15,skc16),
inference(mrr,[status(thm)],[5,64]),
[iquote('1:MRR:5.0,64.0')] ).
cnf(75,plain,
lonely(skc15,skc17),
inference(mrr,[status(thm)],[4,64]),
[iquote('1:MRR:4.0,64.0')] ).
cnf(76,plain,
street(skc15,skc17),
inference(mrr,[status(thm)],[3,64]),
[iquote('1:MRR:3.0,64.0')] ).
cnf(77,plain,
agent(skc15,skc16,skc18),
inference(mrr,[status(thm)],[30,64]),
[iquote('1:MRR:30.0,64.0')] ).
cnf(78,plain,
in(skc15,skc16,skc18),
inference(mrr,[status(thm)],[29,64]),
[iquote('1:MRR:29.0,64.0')] ).
cnf(79,plain,
of(skc15,skc19,skc18),
inference(mrr,[status(thm)],[28,64]),
[iquote('1:MRR:28.0,64.0')] ).
cnf(80,plain,
down(skc15,skc16,skc17),
inference(mrr,[status(thm)],[27,64]),
[iquote('1:MRR:27.0,64.0')] ).
cnf(81,plain,
( ~ actual_world(skc15)
| ~ city(skc15,skc18)
| ~ chevy(skc15,skc18)
| ~ white(skc15,skc18)
| ~ dirty(skc15,skc18)
| ~ old(skc15,skc18)
| ~ placename(skc15,u)
| ~ hollywood_placename(skc15,u)
| ~ event(skc15,skc16)
| ~ present(skc15,skc16)
| ~ barrel(skc15,skc16)
| ~ lonely(skc15,v)
| ~ street(skc15,v)
| ~ in(skc15,skc16,skc18)
| ~ of(skc15,u,skc18)
| ~ down(skc15,skc16,v) ),
inference(res,[status(thm),theory(equality)],[77,37]),
[iquote('1:Res:77.0,37.13')] ).
cnf(82,plain,
( ~ city(skc15,skc18)
| ~ chevy(skc15,skc18)
| ~ white(skc15,skc18)
| ~ dirty(skc15,skc18)
| ~ old(skc15,skc18)
| ~ placename(skc15,u)
| ~ hollywood_placename(skc15,u)
| ~ event(skc15,skc16)
| ~ present(skc15,skc16)
| ~ barrel(skc15,skc16)
| ~ lonely(skc15,v)
| ~ street(skc15,v)
| ~ in(skc15,skc16,skc18)
| ~ of(skc15,u,skc18)
| ~ down(skc15,skc16,v) ),
inference(ssi,[status(thm)],[81,1]),
[iquote('1:SSi:81.0,1.0')] ).
cnf(83,plain,
( ~ placename(skc15,u)
| ~ hollywood_placename(skc15,u)
| ~ lonely(skc15,v)
| ~ street(skc15,v)
| ~ in(skc15,skc16,skc18)
| ~ of(skc15,u,skc18)
| ~ down(skc15,skc16,v) ),
inference(mrr,[status(thm)],[82,65,66,67,68,69,72,73,74]),
[iquote('1:MRR:82.0,82.1,82.2,82.3,82.4,82.7,82.8,82.9,65.0,66.0,67.0,68.0,69.0,72.0,73.0,74.0')] ).
cnf(84,plain,
( ~ placename(skc15,u)
| ~ hollywood_placename(skc15,u)
| ~ lonely(skc15,v)
| ~ street(skc15,v)
| ~ of(skc15,u,skc18)
| ~ down(skc15,skc16,v) ),
inference(mrr,[status(thm)],[83,78]),
[iquote('1:MRR:83.4,78.0')] ).
cnf(85,plain,
( ~ placename(skc15,skc19)
| ~ hollywood_placename(skc15,skc19)
| ~ lonely(skc15,u)
| ~ street(skc15,u)
| ~ down(skc15,skc16,u) ),
inference(res,[status(thm),theory(equality)],[79,84]),
[iquote('1:Res:79.0,84.4')] ).
cnf(86,plain,
( ~ lonely(skc15,u)
| ~ street(skc15,u)
| ~ down(skc15,skc16,u) ),
inference(mrr,[status(thm)],[85,70,71]),
[iquote('1:MRR:85.0,85.1,70.0,71.0')] ).
cnf(87,plain,
( ~ lonely(skc15,skc17)
| ~ street(skc15,skc17) ),
inference(res,[status(thm),theory(equality)],[80,86]),
[iquote('1:Res:80.0,86.2')] ).
cnf(88,plain,
$false,
inference(mrr,[status(thm)],[87,75,76]),
[iquote('1:MRR:87.0,87.1,75.0,76.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NLP122+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 1 04:49:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 23 clauses, backtracked 33 clauses, performed 1 splits and kept 76 clauses.
% 0.19/0.45 SPASS allocated 97712 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.45 0:00:00.04 for the input.
% 0.19/0.45 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.00 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.00 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 3, length 86 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.45 Formulae used in the proof : co1
% 0.19/0.45
%------------------------------------------------------------------------------