## 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 : n023.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 05:27:03 EDT 2022

% Result   : Unsatisfiable 0.19s 0.42s
% Output   : Refutation 0.19s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   36
% Syntax   : Number of clauses     :   85 (  38 unt;  16 nHn;  85 RR)
%            Number of literals    :  265 (   0 equ; 179 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)

%------------------------------------------------------------------------------
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,
( ssskC0
| old(skc18,skc23) ),
file('NLP117-1.p',unknown),
[] ).

cnf(4,axiom,
( ssskC0
| dirty(skc18,skc23) ),
file('NLP117-1.p',unknown),
[] ).

cnf(5,axiom,
( ssskC0
| white(skc18,skc23) ),
file('NLP117-1.p',unknown),
[] ).

cnf(6,axiom,
( ssskC0
| chevy(skc18,skc23) ),
file('NLP117-1.p',unknown),
[] ).

cnf(7,axiom,
( ssskC0
| barrel(skc18,skc19) ),
file('NLP117-1.p',unknown),
[] ).

cnf(8,axiom,
( ssskC0
| present(skc18,skc19) ),
file('NLP117-1.p',unknown),
[] ).

cnf(9,axiom,
( ssskC0
| event(skc18,skc19) ),
file('NLP117-1.p',unknown),
[] ).

cnf(10,axiom,
( ssskC0
| hollywood_placename(skc18,skc21) ),
file('NLP117-1.p',unknown),
[] ).

cnf(11,axiom,
( ssskC0
| placename(skc18,skc21) ),
file('NLP117-1.p',unknown),
[] ).

cnf(12,axiom,
( ssskC0
| city(skc18,skc22) ),
file('NLP117-1.p',unknown),
[] ).

cnf(13,axiom,
( ssskC0
| street(skc18,skc20) ),
file('NLP117-1.p',unknown),
[] ).

cnf(14,axiom,
( ssskC0
| lonely(skc18,skc20) ),
file('NLP117-1.p',unknown),
[] ).

cnf(15,axiom,
( ~ ssskC0
| lonely(skc12,skc17) ),
file('NLP117-1.p',unknown),
[] ).

cnf(16,axiom,
( ~ ssskC0
| street(skc12,skc17) ),
file('NLP117-1.p',unknown),
[] ).

cnf(17,axiom,
( ~ ssskC0
| barrel(skc12,skc13) ),
file('NLP117-1.p',unknown),
[] ).

cnf(18,axiom,
( ~ ssskC0
| present(skc12,skc13) ),
file('NLP117-1.p',unknown),
[] ).

cnf(19,axiom,
( ~ ssskC0
| event(skc12,skc13) ),
file('NLP117-1.p',unknown),
[] ).

cnf(20,axiom,
( ~ ssskC0
| hollywood_placename(skc12,skc15) ),
file('NLP117-1.p',unknown),
[] ).

cnf(21,axiom,
( ~ ssskC0
| placename(skc12,skc15) ),
file('NLP117-1.p',unknown),
[] ).

cnf(22,axiom,
( ~ ssskC0
| city(skc12,skc16) ),
file('NLP117-1.p',unknown),
[] ).

cnf(23,axiom,
( ~ ssskC0
| chevy(skc12,skc14) ),
file('NLP117-1.p',unknown),
[] ).

cnf(24,axiom,
( ~ ssskC0
| white(skc12,skc14) ),
file('NLP117-1.p',unknown),
[] ).

cnf(25,axiom,
( ~ ssskC0
| dirty(skc12,skc14) ),
file('NLP117-1.p',unknown),
[] ).

cnf(26,axiom,
( ~ ssskC0
| old(skc12,skc14) ),
file('NLP117-1.p',unknown),
[] ).

cnf(27,axiom,
( ssskC0
| agent(skc18,skc19,skc23) ),
file('NLP117-1.p',unknown),
[] ).

cnf(28,axiom,
( ssskC0
| in(skc18,skc19,skc22) ),
file('NLP117-1.p',unknown),
[] ).

cnf(29,axiom,
( ssskC0
| of(skc18,skc21,skc22) ),
file('NLP117-1.p',unknown),
[] ).

cnf(30,axiom,
( ssskC0
| down(skc18,skc19,skc20) ),
file('NLP117-1.p',unknown),
[] ).

cnf(31,axiom,
( ~ ssskC0
| down(skc12,skc13,skc17) ),
file('NLP117-1.p',unknown),
[] ).

cnf(32,axiom,
( ~ ssskC0
| in(skc12,skc13,skc16) ),
file('NLP117-1.p',unknown),
[] ).

cnf(33,axiom,
( ~ ssskC0
| of(skc12,skc15,skc16) ),
file('NLP117-1.p',unknown),
[] ).

cnf(34,axiom,
( ~ ssskC0
| agent(skc12,skc13,skc14) ),
file('NLP117-1.p',unknown),
[] ).

cnf(35,axiom,
( ~ actual_world(u)
| ~ lonely(u,v)
| ~ street(u,v)
| ~ barrel(u,w)
| ~ present(u,w)
| ~ event(u,w)
| ~ hollywood_placename(u,x)
| ~ placename(u,x)
| ~ in(u,w,y)
| ~ city(u,y)
| ~ of(u,x,y)
| ~ chevy(u,z)
| ~ white(u,z)
| ~ dirty(u,z)
| ~ old(u,z)
| ~ agent(u,w,z)
| ~ down(u,w,v)
| ssskC0 ),
file('NLP117-1.p',unknown),
[] ).

cnf(36,axiom,
( ~ 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)
| ~ in(u,w,y)
| ~ city(u,y)
| ~ of(u,x,y)
| ~ street(u,z)
| ~ lonely(u,z)
| ~ down(u,w,z)
| ~ agent(u,w,v)
| ~ ssskC0 ),
file('NLP117-1.p',unknown),
[] ).

cnf(37,plain,
( ~ actual_world(u)
| ~ lonely(u,v)
| ~ street(u,v)
| ~ city(u,w)
| ~ placename(u,x)
| ~ hollywood_placename(u,x)
| ~ event(u,y)
| ~ present(u,y)
| ~ barrel(u,y)
| ~ chevy(u,z)
| ~ white(u,z)
| ~ dirty(u,z)
| ~ old(u,z)
| ~ agent(u,y,z)
| ~ down(u,y,v)
| ~ of(u,x,w)
| ~ in(u,y,w) ),
inference(mrr,[status(thm)],[36,35]),
[iquote('0:MRR:36.17,35.17')] ).

cnf(40,plain,
ssskC0,
inference(spt,[spt(split,[position(s1)])],[14]),
[iquote('1:Spt:14.0')] ).

cnf(41,plain,
old(skc12,skc14),
inference(mrr,[status(thm)],[26,40]),
[iquote('1:MRR:26.0,40.0')] ).

cnf(42,plain,
dirty(skc12,skc14),
inference(mrr,[status(thm)],[25,40]),
[iquote('1:MRR:25.0,40.0')] ).

cnf(43,plain,
white(skc12,skc14),
inference(mrr,[status(thm)],[24,40]),
[iquote('1:MRR:24.0,40.0')] ).

cnf(44,plain,
chevy(skc12,skc14),
inference(mrr,[status(thm)],[23,40]),
[iquote('1:MRR:23.0,40.0')] ).

cnf(45,plain,
city(skc12,skc16),
inference(mrr,[status(thm)],[22,40]),
[iquote('1:MRR:22.0,40.0')] ).

cnf(46,plain,
placename(skc12,skc15),
inference(mrr,[status(thm)],[21,40]),
[iquote('1:MRR:21.0,40.0')] ).

cnf(47,plain,
hollywood_placename(skc12,skc15),
inference(mrr,[status(thm)],[20,40]),
[iquote('1:MRR:20.0,40.0')] ).

cnf(48,plain,
event(skc12,skc13),
inference(mrr,[status(thm)],[19,40]),
[iquote('1:MRR:19.0,40.0')] ).

cnf(49,plain,
present(skc12,skc13),
inference(mrr,[status(thm)],[18,40]),
[iquote('1:MRR:18.0,40.0')] ).

cnf(50,plain,
barrel(skc12,skc13),
inference(mrr,[status(thm)],[17,40]),
[iquote('1:MRR:17.0,40.0')] ).

cnf(51,plain,
street(skc12,skc17),
inference(mrr,[status(thm)],[16,40]),
[iquote('1:MRR:16.0,40.0')] ).

cnf(52,plain,
lonely(skc12,skc17),
inference(mrr,[status(thm)],[15,40]),
[iquote('1:MRR:15.0,40.0')] ).

cnf(53,plain,
agent(skc12,skc13,skc14),
inference(mrr,[status(thm)],[34,40]),
[iquote('1:MRR:34.0,40.0')] ).

cnf(54,plain,
of(skc12,skc15,skc16),
inference(mrr,[status(thm)],[33,40]),
[iquote('1:MRR:33.0,40.0')] ).

cnf(55,plain,
in(skc12,skc13,skc16),
inference(mrr,[status(thm)],[32,40]),
[iquote('1:MRR:32.0,40.0')] ).

cnf(56,plain,
down(skc12,skc13,skc17),
inference(mrr,[status(thm)],[31,40]),
[iquote('1:MRR:31.0,40.0')] ).

cnf(57,plain,
( ~ actual_world(skc12)
| ~ lonely(skc12,u)
| ~ street(skc12,u)
| ~ city(skc12,v)
| ~ placename(skc12,w)
| ~ hollywood_placename(skc12,w)
| ~ event(skc12,skc13)
| ~ present(skc12,skc13)
| ~ barrel(skc12,skc13)
| ~ chevy(skc12,skc14)
| ~ white(skc12,skc14)
| ~ dirty(skc12,skc14)
| ~ old(skc12,skc14)
| ~ down(skc12,skc13,u)
| ~ of(skc12,w,v)
| ~ in(skc12,skc13,v) ),
inference(res,[status(thm),theory(equality)],[53,37]),
[iquote('1:Res:53.0,37.13')] ).

cnf(58,plain,
( ~ lonely(skc12,u)
| ~ street(skc12,u)
| ~ city(skc12,v)
| ~ placename(skc12,w)
| ~ hollywood_placename(skc12,w)
| ~ event(skc12,skc13)
| ~ present(skc12,skc13)
| ~ barrel(skc12,skc13)
| ~ chevy(skc12,skc14)
| ~ white(skc12,skc14)
| ~ dirty(skc12,skc14)
| ~ old(skc12,skc14)
| ~ down(skc12,skc13,u)
| ~ of(skc12,w,v)
| ~ in(skc12,skc13,v) ),
inference(ssi,[status(thm)],[57,2]),
[iquote('1:SSi:57.0,2.0')] ).

cnf(59,plain,
( ~ lonely(skc12,u)
| ~ street(skc12,u)
| ~ city(skc12,v)
| ~ placename(skc12,w)
| ~ hollywood_placename(skc12,w)
| ~ down(skc12,skc13,u)
| ~ of(skc12,w,v)
| ~ in(skc12,skc13,v) ),
inference(mrr,[status(thm)],[58,48,49,50,44,43,42,41]),
[iquote('1:MRR:58.5,58.6,58.7,58.8,58.9,58.10,58.11,48.0,49.0,50.0,44.0,43.0,42.0,41.0')] ).

cnf(60,plain,
( ~ lonely(skc12,skc17)
| ~ street(skc12,skc17)
| ~ city(skc12,u)
| ~ placename(skc12,v)
| ~ hollywood_placename(skc12,v)
| ~ of(skc12,v,u)
| ~ in(skc12,skc13,u) ),
inference(res,[status(thm),theory(equality)],[56,59]),
[iquote('1:Res:56.0,59.5')] ).

cnf(61,plain,
( ~ city(skc12,u)
| ~ placename(skc12,v)
| ~ hollywood_placename(skc12,v)
| ~ of(skc12,v,u)
| ~ in(skc12,skc13,u) ),
inference(mrr,[status(thm)],[60,52,51]),
[iquote('1:MRR:60.0,60.1,52.0,51.0')] ).

cnf(62,plain,
( ~ city(skc12,skc16)
| ~ placename(skc12,skc15)
| ~ hollywood_placename(skc12,skc15)
| ~ in(skc12,skc13,skc16) ),
inference(res,[status(thm),theory(equality)],[54,61]),
[iquote('1:Res:54.0,61.3')] ).

cnf(63,plain,
\$false,
inference(mrr,[status(thm)],[62,45,46,47,55]),
[iquote('1:MRR:62.0,62.1,62.2,62.3,45.0,46.0,47.0,55.0')] ).

cnf(64,plain,
~ ssskC0,
inference(spt,[spt(split,[position(sa)])],[63,40]),
[iquote('1:Spt:63.0,14.0,40.0')] ).

cnf(65,plain,
lonely(skc18,skc20),
inference(spt,[spt(split,[position(s2)])],[14]),
[iquote('1:Spt:63.0,14.1')] ).

cnf(66,plain,
street(skc18,skc20),
inference(mrr,[status(thm)],[13,64]),
[iquote('1:MRR:13.0,64.0')] ).

cnf(67,plain,
city(skc18,skc22),
inference(mrr,[status(thm)],[12,64]),
[iquote('1:MRR:12.0,64.0')] ).

cnf(68,plain,
placename(skc18,skc21),
inference(mrr,[status(thm)],[11,64]),
[iquote('1:MRR:11.0,64.0')] ).

cnf(69,plain,
hollywood_placename(skc18,skc21),
inference(mrr,[status(thm)],[10,64]),
[iquote('1:MRR:10.0,64.0')] ).

cnf(70,plain,
event(skc18,skc19),
inference(mrr,[status(thm)],[9,64]),
[iquote('1:MRR:9.0,64.0')] ).

cnf(71,plain,
present(skc18,skc19),
inference(mrr,[status(thm)],[8,64]),
[iquote('1:MRR:8.0,64.0')] ).

cnf(72,plain,
barrel(skc18,skc19),
inference(mrr,[status(thm)],[7,64]),
[iquote('1:MRR:7.0,64.0')] ).

cnf(73,plain,
chevy(skc18,skc23),
inference(mrr,[status(thm)],[6,64]),
[iquote('1:MRR:6.0,64.0')] ).

cnf(74,plain,
white(skc18,skc23),
inference(mrr,[status(thm)],[5,64]),
[iquote('1:MRR:5.0,64.0')] ).

cnf(75,plain,
dirty(skc18,skc23),
inference(mrr,[status(thm)],[4,64]),
[iquote('1:MRR:4.0,64.0')] ).

cnf(76,plain,
old(skc18,skc23),
inference(mrr,[status(thm)],[3,64]),
[iquote('1:MRR:3.0,64.0')] ).

cnf(77,plain,
down(skc18,skc19,skc20),
inference(mrr,[status(thm)],[30,64]),
[iquote('1:MRR:30.0,64.0')] ).

cnf(78,plain,
of(skc18,skc21,skc22),
inference(mrr,[status(thm)],[29,64]),
[iquote('1:MRR:29.0,64.0')] ).

cnf(79,plain,
in(skc18,skc19,skc22),
inference(mrr,[status(thm)],[28,64]),
[iquote('1:MRR:28.0,64.0')] ).

cnf(80,plain,
agent(skc18,skc19,skc23),
inference(mrr,[status(thm)],[27,64]),
[iquote('1:MRR:27.0,64.0')] ).

cnf(81,plain,
( ~ actual_world(skc18)
| ~ lonely(skc18,u)
| ~ street(skc18,u)
| ~ city(skc18,v)
| ~ placename(skc18,w)
| ~ hollywood_placename(skc18,w)
| ~ event(skc18,skc19)
| ~ present(skc18,skc19)
| ~ barrel(skc18,skc19)
| ~ chevy(skc18,skc23)
| ~ white(skc18,skc23)
| ~ dirty(skc18,skc23)
| ~ old(skc18,skc23)
| ~ down(skc18,skc19,u)
| ~ of(skc18,w,v)
| ~ in(skc18,skc19,v) ),
inference(res,[status(thm),theory(equality)],[80,37]),
[iquote('1:Res:80.0,37.13')] ).

cnf(82,plain,
( ~ lonely(skc18,u)
| ~ street(skc18,u)
| ~ city(skc18,v)
| ~ placename(skc18,w)
| ~ hollywood_placename(skc18,w)
| ~ event(skc18,skc19)
| ~ present(skc18,skc19)
| ~ barrel(skc18,skc19)
| ~ chevy(skc18,skc23)
| ~ white(skc18,skc23)
| ~ dirty(skc18,skc23)
| ~ old(skc18,skc23)
| ~ down(skc18,skc19,u)
| ~ of(skc18,w,v)
| ~ in(skc18,skc19,v) ),
inference(ssi,[status(thm)],[81,1]),
[iquote('1:SSi:81.0,1.0')] ).

cnf(83,plain,
( ~ lonely(skc18,u)
| ~ street(skc18,u)
| ~ city(skc18,v)
| ~ placename(skc18,w)
| ~ hollywood_placename(skc18,w)
| ~ down(skc18,skc19,u)
| ~ of(skc18,w,v)
| ~ in(skc18,skc19,v) ),
inference(mrr,[status(thm)],[82,70,71,72,73,74,75,76]),
[iquote('1:MRR:82.5,82.6,82.7,82.8,82.9,82.10,82.11,70.0,71.0,72.0,73.0,74.0,75.0,76.0')] ).

cnf(84,plain,
( ~ lonely(skc18,skc20)
| ~ street(skc18,skc20)
| ~ city(skc18,u)
| ~ placename(skc18,v)
| ~ hollywood_placename(skc18,v)
| ~ of(skc18,v,u)
| ~ in(skc18,skc19,u) ),
inference(res,[status(thm),theory(equality)],[77,83]),
[iquote('1:Res:77.0,83.5')] ).

cnf(85,plain,
( ~ city(skc18,u)
| ~ placename(skc18,v)
| ~ hollywood_placename(skc18,v)
| ~ of(skc18,v,u)
| ~ in(skc18,skc19,u) ),
inference(mrr,[status(thm)],[84,65,66]),
[iquote('1:MRR:84.0,84.1,65.0,66.0')] ).

cnf(86,plain,
( ~ city(skc18,skc22)
| ~ placename(skc18,skc21)
| ~ hollywood_placename(skc18,skc21)
| ~ in(skc18,skc19,skc22) ),
inference(res,[status(thm),theory(equality)],[78,85]),
[iquote('1:Res:78.0,85.3')] ).

cnf(87,plain,
\$false,
inference(mrr,[status(thm)],[86,67,68,69,79]),
[iquote('1:MRR:86.0,86.1,86.2,86.3,67.0,68.0,69.0,79.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : NLP117-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n023.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 12:13:59 EDT 2022
% 0.13/0.34  % CPUTime  :
% 0.19/0.42
% 0.19/0.42  SPASS V 3.9
% 0.19/0.42  SPASS beiseite: Proof found.
% 0.19/0.42  % SZS status Theorem
% 0.19/0.42  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42  SPASS derived 23 clauses, backtracked 33 clauses, performed 1 splits and kept 76 clauses.
% 0.19/0.42  SPASS allocated 75678 KBytes.
% 0.19/0.42  SPASS spent	0:00:00.07 on the problem.
% 0.19/0.42  		0:00:00.04 for the input.
% 0.19/0.42  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.42  		0:00:00.00 for inferences.
% 0.19/0.42  		0:00:00.00 for the backtracking.
% 0.19/0.42  		0:00:00.00 for the reduction.
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42  Here is a proof with depth 3, length 85 :
% 0.19/0.42  % SZS output start Refutation
% See solution above
% 0.19/0.42  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 clause31 clause32 clause33 clause34 clause35 clause36
% 0.19/0.42
%------------------------------------------------------------------------------
```