## TSTP Solution File: NLP117-1 by Leo-III---1.7.0

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : Leo-III---1.7.0
% Problem  : NLP117-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n022.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  : 300s
% DateTime : Sun Sep 18 08:32:08 EDT 2022

% Result   : Unsatisfiable 3.17s 1.76s
% Output   : Refutation 3.74s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   66
% Syntax   : Number of formulae    :  103 (   5 unt;  30 typ;   0 def)
%            Number of atoms       :  205 (   0 equ;   0 cnn)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives :  530 ( 102   ~; 132   |;   0   &; 296   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   37 (  37   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   31 (  30 usr;  14 con; 0-3 aty)
%            Number of variables   :   24 (   0   ^  24   !;   0   ?;  24   :)

%------------------------------------------------------------------------------
thf(actual_world_type,type,
actual_world: \$i > \$o ).

thf(skc18_type,type,
skc18: \$i ).

thf(skc12_type,type,
skc12: \$i ).

thf(ssSkC0_type,type,
ssSkC0: \$o ).

thf(old_type,type,
old: \$i > \$i > \$o ).

thf(skc23_type,type,
skc23: \$i ).

thf(dirty_type,type,
dirty: \$i > \$i > \$o ).

thf(white_type,type,
white: \$i > \$i > \$o ).

thf(chevy_type,type,
chevy: \$i > \$i > \$o ).

thf(barrel_type,type,
barrel: \$i > \$i > \$o ).

thf(skc19_type,type,
skc19: \$i ).

thf(present_type,type,
present: \$i > \$i > \$o ).

thf(event_type,type,
event: \$i > \$i > \$o ).

thf(hollywood_placename_type,type,
hollywood_placename: \$i > \$i > \$o ).

thf(skc21_type,type,
skc21: \$i ).

thf(placename_type,type,
placename: \$i > \$i > \$o ).

thf(city_type,type,
city: \$i > \$i > \$o ).

thf(skc22_type,type,
skc22: \$i ).

thf(street_type,type,
street: \$i > \$i > \$o ).

thf(skc20_type,type,
skc20: \$i ).

thf(lonely_type,type,
lonely: \$i > \$i > \$o ).

thf(skc17_type,type,
skc17: \$i ).

thf(skc13_type,type,
skc13: \$i ).

thf(skc15_type,type,
skc15: \$i ).

thf(skc16_type,type,
skc16: \$i ).

thf(skc14_type,type,
skc14: \$i ).

thf(agent_type,type,
agent: \$i > \$i > \$i > \$o ).

thf(in_type,type,
in: \$i > \$i > \$i > \$o ).

thf(of_type,type,
of: \$i > \$i > \$i > \$o ).

thf(down_type,type,
down: \$i > \$i > \$i > \$o ).

thf(23,negated_conjecture,
( ~ ssSkC0
| ( chevy @ skc12 @ skc14 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).

thf(69,plain,
( ~ ssSkC0
| ( chevy @ skc12 @ skc14 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(28,negated_conjecture,
( ssSkC0
| ( in @ skc18 @ skc19 @ skc22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).

thf(56,plain,
( ssSkC0
| ( in @ skc18 @ skc19 @ skc22 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(24,negated_conjecture,
( ~ ssSkC0
| ( white @ skc12 @ skc14 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).

thf(52,plain,
( ~ ssSkC0
| ( white @ skc12 @ skc14 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(34,negated_conjecture,
( ~ ssSkC0
| ( agent @ skc12 @ skc13 @ skc14 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

thf(61,plain,
( ~ ssSkC0
| ( agent @ skc12 @ skc13 @ skc14 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(32,negated_conjecture,
( ~ ssSkC0
| ( in @ skc12 @ skc13 @ skc16 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

thf(60,plain,
( ~ ssSkC0
| ( in @ skc12 @ skc13 @ skc16 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(35,negated_conjecture,
! [F: \$i,E: \$i,D: \$i,C: \$i,B: \$i,A: \$i] :
( ~ ( down @ A @ B @ C )
| ~ ( lonely @ A @ C )
| ~ ( street @ A @ C )
| ~ ( barrel @ A @ B )
| ~ ( present @ A @ B )
| ~ ( event @ A @ B )
| ~ ( hollywood_placename @ A @ D )
| ~ ( placename @ A @ D )
| ~ ( in @ A @ B @ E )
| ~ ( city @ A @ E )
| ~ ( of @ A @ D @ E )
| ~ ( chevy @ A @ F )
| ~ ( white @ A @ F )
| ~ ( dirty @ A @ F )
| ~ ( old @ A @ F )
| ~ ( agent @ A @ B @ F )
| ~ ( actual_world @ A )
| ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

thf(65,plain,
! [F: \$i,E: \$i,D: \$i,C: \$i,B: \$i,A: \$i] :
( ~ ( down @ A @ B @ C )
| ~ ( lonely @ A @ C )
| ~ ( street @ A @ C )
| ~ ( barrel @ A @ B )
| ~ ( present @ A @ B )
| ~ ( event @ A @ B )
| ~ ( hollywood_placename @ A @ D )
| ~ ( placename @ A @ D )
| ~ ( in @ A @ B @ E )
| ~ ( city @ A @ E )
| ~ ( of @ A @ D @ E )
| ~ ( chevy @ A @ F )
| ~ ( white @ A @ F )
| ~ ( dirty @ A @ F )
| ~ ( old @ A @ F )
| ~ ( agent @ A @ B @ F )
| ~ ( actual_world @ A )
| ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(25,negated_conjecture,
( ~ ssSkC0
| ( dirty @ skc12 @ skc14 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).

thf(53,plain,
( ~ ssSkC0
| ( dirty @ skc12 @ skc14 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(6,negated_conjecture,
( ssSkC0
| ( chevy @ skc18 @ skc23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

thf(41,plain,
( ssSkC0
| ( chevy @ skc18 @ skc23 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(14,negated_conjecture,
( ssSkC0
| ( lonely @ skc18 @ skc20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).

thf(39,plain,
( ssSkC0
| ( lonely @ skc18 @ skc20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(16,negated_conjecture,
( ~ ssSkC0
| ( street @ skc12 @ skc17 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).

thf(66,plain,
( ~ ssSkC0
| ( street @ skc12 @ skc17 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(33,negated_conjecture,
( ~ ssSkC0
| ( of @ skc12 @ skc15 @ skc16 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).

thf(58,plain,
( ~ ssSkC0
| ( of @ skc12 @ skc15 @ skc16 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(15,negated_conjecture,
( ~ ssSkC0
| ( lonely @ skc12 @ skc17 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).

thf(51,plain,
( ~ ssSkC0
| ( lonely @ skc12 @ skc17 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(9,negated_conjecture,
( ssSkC0
| ( event @ skc18 @ skc19 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).

thf(42,plain,
( ssSkC0
| ( event @ skc18 @ skc19 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(5,negated_conjecture,
( ssSkC0
| ( white @ skc18 @ skc23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

thf(37,plain,
( ssSkC0
| ( white @ skc18 @ skc23 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(7,negated_conjecture,
( ssSkC0
| ( barrel @ skc18 @ skc19 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

thf(46,plain,
( ssSkC0
| ( barrel @ skc18 @ skc19 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(21,negated_conjecture,
( ~ ssSkC0
| ( placename @ skc12 @ skc15 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).

thf(57,plain,
( ~ ssSkC0
| ( placename @ skc12 @ skc15 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(10,negated_conjecture,
( ssSkC0
| ( hollywood_placename @ skc18 @ skc21 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).

thf(38,plain,
( ssSkC0
| ( hollywood_placename @ skc18 @ skc21 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(36,negated_conjecture,
! [F: \$i,E: \$i,D: \$i,C: \$i,B: \$i,A: \$i] :
( ~ ( agent @ A @ B @ C )
| ~ ( old @ A @ C )
| ~ ( dirty @ A @ C )
| ~ ( white @ A @ C )
| ~ ( chevy @ A @ C )
| ~ ( barrel @ A @ B )
| ~ ( present @ A @ B )
| ~ ( event @ A @ B )
| ~ ( hollywood_placename @ A @ D )
| ~ ( placename @ A @ D )
| ~ ( in @ A @ B @ E )
| ~ ( city @ A @ E )
| ~ ( of @ A @ D @ E )
| ~ ( street @ A @ F )
| ~ ( lonely @ A @ F )
| ~ ( down @ A @ B @ F )
| ~ ( actual_world @ A )
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

thf(70,plain,
! [F: \$i,E: \$i,D: \$i,C: \$i,B: \$i,A: \$i] :
( ~ ( agent @ A @ B @ C )
| ~ ( old @ A @ C )
| ~ ( dirty @ A @ C )
| ~ ( white @ A @ C )
| ~ ( chevy @ A @ C )
| ~ ( barrel @ A @ B )
| ~ ( present @ A @ B )
| ~ ( event @ A @ B )
| ~ ( hollywood_placename @ A @ D )
| ~ ( placename @ A @ D )
| ~ ( in @ A @ B @ E )
| ~ ( city @ A @ E )
| ~ ( of @ A @ D @ E )
| ~ ( street @ A @ F )
| ~ ( lonely @ A @ F )
| ~ ( down @ A @ B @ F )
| ~ ( actual_world @ A )
| ~ ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(12,negated_conjecture,
( ssSkC0
| ( city @ skc18 @ skc22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).

thf(45,plain,
( ssSkC0
| ( city @ skc18 @ skc22 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(3,negated_conjecture,
( ssSkC0
| ( old @ skc18 @ skc23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

thf(64,plain,
( ssSkC0
| ( old @ skc18 @ skc23 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(2,negated_conjecture,
actual_world @ skc12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

thf(44,plain,
actual_world @ skc12,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(17,negated_conjecture,
( ~ ssSkC0
| ( barrel @ skc12 @ skc13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).

thf(59,plain,
( ~ ssSkC0
| ( barrel @ skc12 @ skc13 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(30,negated_conjecture,
( ssSkC0
| ( down @ skc18 @ skc19 @ skc20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).

thf(71,plain,
( ssSkC0
| ( down @ skc18 @ skc19 @ skc20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(20,negated_conjecture,
( ~ ssSkC0
| ( hollywood_placename @ skc12 @ skc15 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).

thf(54,plain,
( ~ ssSkC0
| ( hollywood_placename @ skc12 @ skc15 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(8,negated_conjecture,
( ssSkC0
| ( present @ skc18 @ skc19 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

thf(49,plain,
( ssSkC0
| ( present @ skc18 @ skc19 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(11,negated_conjecture,
( ssSkC0
| ( placename @ skc18 @ skc21 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).

thf(48,plain,
( ssSkC0
| ( placename @ skc18 @ skc21 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(27,negated_conjecture,
( ssSkC0
| ( agent @ skc18 @ skc19 @ skc23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).

thf(63,plain,
( ssSkC0
| ( agent @ skc18 @ skc19 @ skc23 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(4,negated_conjecture,
( ssSkC0
| ( dirty @ skc18 @ skc23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

thf(50,plain,
( ssSkC0
| ( dirty @ skc18 @ skc23 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(31,negated_conjecture,
( ~ ssSkC0
| ( down @ skc12 @ skc13 @ skc17 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).

thf(67,plain,
( ~ ssSkC0
| ( down @ skc12 @ skc13 @ skc17 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(19,negated_conjecture,
( ~ ssSkC0
| ( event @ skc12 @ skc13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).

thf(72,plain,
( ~ ssSkC0
| ( event @ skc12 @ skc13 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(13,negated_conjecture,
( ssSkC0
| ( street @ skc18 @ skc20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).

thf(43,plain,
( ssSkC0
| ( street @ skc18 @ skc20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(1,negated_conjecture,
actual_world @ skc18,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

thf(40,plain,
actual_world @ skc18,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(29,negated_conjecture,
( ssSkC0
| ( of @ skc18 @ skc21 @ skc22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).

thf(55,plain,
( ssSkC0
| ( of @ skc18 @ skc21 @ skc22 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(18,negated_conjecture,
( ~ ssSkC0
| ( present @ skc12 @ skc13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).

thf(47,plain,
( ~ ssSkC0
| ( present @ skc12 @ skc13 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(26,negated_conjecture,
( ~ ssSkC0
| ( old @ skc12 @ skc14 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).

thf(68,plain,
( ~ ssSkC0
| ( old @ skc12 @ skc14 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(22,negated_conjecture,
( ~ ssSkC0
| ( city @ skc12 @ skc16 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).

thf(62,plain,
( ~ ssSkC0
| ( city @ skc12 @ skc16 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(107,plain,
\$false,
inference(cvc4,[status(thm)],[69,56,52,61,60,65,53,41,39,66,58,51,42,37,46,57,38,70,45,64,44,59,71,54,49,48,63,50,67,72,43,40,55,47,68,62]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NLP117-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.14  % Command  : run_Leo-III %s %d
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Sep  2 04:43:25 EDT 2022
% 0.14/0.35  % CPUTime  :
% 0.86/0.82  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.23/0.95  % [INFO] 	 Parsing done (124ms).
% 1.23/0.95  % [INFO] 	 Running in sequential loop mode.
% 1.57/1.16  % [INFO] 	 eprover registered as external prover.
% 1.57/1.16  % [INFO] 	 cvc4 registered as external prover.
% 1.57/1.17  % [INFO] 	 Scanning for conjecture ...
% 1.92/1.26  % [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ...
% 1.92/1.31  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.92/1.31  % [INFO] 	 Problem is propositional (TPTP CNF).
% 1.92/1.32  % [INFO] 	 Type checking passed.
% 1.92/1.32  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ...
% 3.17/1.76  % External prover 'cvc4' found a proof!
% 3.17/1.76  % [INFO] 	 Killing All external provers ...
% 3.17/1.76  % Time passed: 1270ms (effective reasoning time: 801ms)
% 3.17/1.76  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 3.17/1.76  % Axioms used in derivation (0):
% 3.17/1.76  % No. of inferences in proof: 73
% 3.17/1.76  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1270 ms resp. 801 ms w/o parsing
% 3.74/1.84  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.74/1.84  % [INFO] 	 Killing All external provers ...
%------------------------------------------------------------------------------
```