TSTP Solution File: NLP122-1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : NLP122-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n017.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 : Fri May 19 11:36:19 EDT 2023
% Result : Unsatisfiable 3.37s 1.78s
% Output : Refutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 64
% Syntax : Number of formulae : 101 ( 5 unt; 28 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 : 25 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 37 ( 37 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 28 usr; 12 con; 0-3 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(actual_world_type,type,
actual_world: $i > $o ).
thf(skc15_type,type,
skc15: $i ).
thf(skc10_type,type,
skc10: $i ).
thf(ssSkC0_type,type,
ssSkC0: $o ).
thf(city_type,type,
city: $i > $i > $o ).
thf(skc18_type,type,
skc18: $i ).
thf(chevy_type,type,
chevy: $i > $i > $o ).
thf(white_type,type,
white: $i > $i > $o ).
thf(dirty_type,type,
dirty: $i > $i > $o ).
thf(old_type,type,
old: $i > $i > $o ).
thf(placename_type,type,
placename: $i > $i > $o ).
thf(skc19_type,type,
skc19: $i ).
thf(hollywood_placename_type,type,
hollywood_placename: $i > $i > $o ).
thf(event_type,type,
event: $i > $i > $o ).
thf(skc16_type,type,
skc16: $i ).
thf(present_type,type,
present: $i > $i > $o ).
thf(barrel_type,type,
barrel: $i > $i > $o ).
thf(lonely_type,type,
lonely: $i > $i > $o ).
thf(skc17_type,type,
skc17: $i ).
thf(street_type,type,
street: $i > $i > $o ).
thf(skc11_type,type,
skc11: $i ).
thf(skc14_type,type,
skc14: $i ).
thf(skc12_type,type,
skc12: $i ).
thf(skc13_type,type,
skc13: $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 @ skc10 @ skc12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
thf(69,plain,
( ~ ssSkC0
| ( chevy @ skc10 @ skc12 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(28,negated_conjecture,
( ssSkC0
| ( in @ skc15 @ skc16 @ skc18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
thf(56,plain,
( ssSkC0
| ( in @ skc15 @ skc16 @ skc18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(24,negated_conjecture,
( ~ ssSkC0
| ( city @ skc10 @ skc12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
thf(52,plain,
( ~ ssSkC0
| ( city @ skc10 @ skc12 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(34,negated_conjecture,
( ~ ssSkC0
| ( of @ skc10 @ skc13 @ skc12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
thf(61,plain,
( ~ ssSkC0
| ( of @ skc10 @ skc13 @ skc12 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(32,negated_conjecture,
( ~ ssSkC0
| ( in @ skc10 @ skc11 @ skc12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
thf(60,plain,
( ~ ssSkC0
| ( in @ skc10 @ skc11 @ skc12 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(35,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( event @ A @ B )
| ~ ( present @ A @ B )
| ~ ( barrel @ A @ B )
| ~ ( down @ A @ B @ C )
| ~ ( lonely @ A @ C )
| ~ ( street @ A @ C )
| ~ ( in @ A @ B @ D )
| ~ ( agent @ A @ B @ D )
| ~ ( old @ A @ D )
| ~ ( dirty @ A @ D )
| ~ ( white @ A @ D )
| ~ ( chevy @ A @ D )
| ~ ( city @ A @ D )
| ~ ( of @ A @ E @ D )
| ~ ( hollywood_placename @ A @ E )
| ~ ( placename @ A @ E )
| ~ ( actual_world @ A )
| ssSkC0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
thf(65,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( event @ A @ B )
| ~ ( present @ A @ B )
| ~ ( barrel @ A @ B )
| ~ ( down @ A @ B @ C )
| ~ ( lonely @ A @ C )
| ~ ( street @ A @ C )
| ~ ( in @ A @ B @ D )
| ~ ( agent @ A @ B @ D )
| ~ ( old @ A @ D )
| ~ ( dirty @ A @ D )
| ~ ( white @ A @ D )
| ~ ( chevy @ A @ D )
| ~ ( city @ A @ D )
| ~ ( of @ A @ E @ D )
| ~ ( hollywood_placename @ A @ E )
| ~ ( placename @ A @ E )
| ~ ( actual_world @ A )
| ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(25,negated_conjecture,
( ~ ssSkC0
| ( hollywood_placename @ skc10 @ skc13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
thf(53,plain,
( ~ ssSkC0
| ( hollywood_placename @ skc10 @ skc13 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(6,negated_conjecture,
( ssSkC0
| ( dirty @ skc15 @ skc18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
thf(41,plain,
( ssSkC0
| ( dirty @ skc15 @ skc18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(14,negated_conjecture,
( ssSkC0
| ( street @ skc15 @ skc17 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
thf(39,plain,
( ssSkC0
| ( street @ skc15 @ skc17 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(16,negated_conjecture,
( ~ ssSkC0
| ( present @ skc10 @ skc11 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
thf(66,plain,
( ~ ssSkC0
| ( present @ skc10 @ skc11 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(33,negated_conjecture,
( ~ ssSkC0
| ( agent @ skc10 @ skc11 @ skc12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
thf(58,plain,
( ~ ssSkC0
| ( agent @ skc10 @ skc11 @ skc12 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(15,negated_conjecture,
( ~ ssSkC0
| ( event @ skc10 @ skc11 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
thf(51,plain,
( ~ ssSkC0
| ( event @ skc10 @ skc11 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(9,negated_conjecture,
( ssSkC0
| ( hollywood_placename @ skc15 @ skc19 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
thf(42,plain,
( ssSkC0
| ( hollywood_placename @ skc15 @ skc19 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,negated_conjecture,
( ssSkC0
| ( white @ skc15 @ skc18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
thf(37,plain,
( ssSkC0
| ( white @ skc15 @ skc18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,negated_conjecture,
( ssSkC0
| ( old @ skc15 @ skc18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
thf(46,plain,
( ssSkC0
| ( old @ skc15 @ skc18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(21,negated_conjecture,
( ~ ssSkC0
| ( dirty @ skc10 @ skc12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
thf(57,plain,
( ~ ssSkC0
| ( dirty @ skc10 @ skc12 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(10,negated_conjecture,
( ssSkC0
| ( event @ skc15 @ skc16 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
thf(38,plain,
( ssSkC0
| ( event @ skc15 @ skc16 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(36,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( city @ A @ B )
| ~ ( chevy @ A @ B )
| ~ ( white @ A @ B )
| ~ ( dirty @ A @ B )
| ~ ( old @ A @ B )
| ~ ( agent @ A @ C @ B )
| ~ ( in @ A @ C @ B )
| ~ ( placename @ A @ D )
| ~ ( hollywood_placename @ A @ D )
| ~ ( of @ A @ D @ B )
| ~ ( event @ A @ C )
| ~ ( present @ A @ C )
| ~ ( barrel @ A @ C )
| ~ ( down @ A @ C @ E )
| ~ ( lonely @ A @ E )
| ~ ( street @ A @ E )
| ~ ( actual_world @ A )
| ~ ssSkC0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
thf(70,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( city @ A @ B )
| ~ ( chevy @ A @ B )
| ~ ( white @ A @ B )
| ~ ( dirty @ A @ B )
| ~ ( old @ A @ B )
| ~ ( agent @ A @ C @ B )
| ~ ( in @ A @ C @ B )
| ~ ( placename @ A @ D )
| ~ ( hollywood_placename @ A @ D )
| ~ ( of @ A @ D @ B )
| ~ ( event @ A @ C )
| ~ ( present @ A @ C )
| ~ ( barrel @ A @ C )
| ~ ( down @ A @ C @ E )
| ~ ( lonely @ A @ E )
| ~ ( street @ A @ E )
| ~ ( actual_world @ A )
| ~ ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(12,negated_conjecture,
( ssSkC0
| ( barrel @ skc15 @ skc16 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
thf(45,plain,
( ssSkC0
| ( barrel @ skc15 @ skc16 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(3,negated_conjecture,
( ssSkC0
| ( city @ skc15 @ skc18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
thf(64,plain,
( ssSkC0
| ( city @ skc15 @ skc18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,negated_conjecture,
actual_world @ skc10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
thf(44,plain,
actual_world @ skc10,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(17,negated_conjecture,
( ~ ssSkC0
| ( barrel @ skc10 @ skc11 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
thf(59,plain,
( ~ ssSkC0
| ( barrel @ skc10 @ skc11 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(30,negated_conjecture,
( ssSkC0
| ( down @ skc15 @ skc16 @ skc17 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
thf(71,plain,
( ssSkC0
| ( down @ skc15 @ skc16 @ skc17 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(20,negated_conjecture,
( ~ ssSkC0
| ( old @ skc10 @ skc12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
thf(54,plain,
( ~ ssSkC0
| ( old @ skc10 @ skc12 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(8,negated_conjecture,
( ssSkC0
| ( placename @ skc15 @ skc19 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
thf(49,plain,
( ssSkC0
| ( placename @ skc15 @ skc19 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(11,negated_conjecture,
( ssSkC0
| ( present @ skc15 @ skc16 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
thf(48,plain,
( ssSkC0
| ( present @ skc15 @ skc16 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(27,negated_conjecture,
( ssSkC0
| ( agent @ skc15 @ skc16 @ skc18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
thf(63,plain,
( ssSkC0
| ( agent @ skc15 @ skc16 @ skc18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(4,negated_conjecture,
( ssSkC0
| ( chevy @ skc15 @ skc18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
thf(50,plain,
( ssSkC0
| ( chevy @ skc15 @ skc18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(31,negated_conjecture,
( ~ ssSkC0
| ( down @ skc10 @ skc11 @ skc14 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
thf(67,plain,
( ~ ssSkC0
| ( down @ skc10 @ skc11 @ skc14 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(19,negated_conjecture,
( ~ ssSkC0
| ( street @ skc10 @ skc14 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
thf(72,plain,
( ~ ssSkC0
| ( street @ skc10 @ skc14 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(13,negated_conjecture,
( ssSkC0
| ( lonely @ skc15 @ skc17 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
thf(43,plain,
( ssSkC0
| ( lonely @ skc15 @ skc17 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(1,negated_conjecture,
actual_world @ skc15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
thf(40,plain,
actual_world @ skc15,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(29,negated_conjecture,
( ssSkC0
| ( of @ skc15 @ skc19 @ skc18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
thf(55,plain,
( ssSkC0
| ( of @ skc15 @ skc19 @ skc18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(18,negated_conjecture,
( ~ ssSkC0
| ( lonely @ skc10 @ skc14 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
thf(47,plain,
( ~ ssSkC0
| ( lonely @ skc10 @ skc14 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(26,negated_conjecture,
( ~ ssSkC0
| ( placename @ skc10 @ skc13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
thf(68,plain,
( ~ ssSkC0
| ( placename @ skc10 @ skc13 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(22,negated_conjecture,
( ~ ssSkC0
| ( white @ skc10 @ skc12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
thf(62,plain,
( ~ ssSkC0
| ( white @ skc10 @ skc12 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(107,plain,
$false,
inference(e,[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
% 0.06/0.12 % Problem : NLP122-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 18 14:15:16 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.96/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.18/0.97 % [INFO] Parsing done (127ms).
% 1.18/0.98 % [INFO] Running in sequential loop mode.
% 1.70/1.18 % [INFO] eprover registered as external prover.
% 1.70/1.18 % [INFO] cvc4 registered as external prover.
% 1.70/1.19 % [INFO] Scanning for conjecture ...
% 2.00/1.28 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.00/1.33 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.00/1.33 % [INFO] Problem is propositional (TPTP CNF).
% 2.00/1.33 % [INFO] Type checking passed.
% 2.00/1.34 % [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 ...
% 3.37/1.78 % External prover 'e' found a proof!
% 3.37/1.78 % [INFO] Killing All external provers ...
% 3.37/1.78 % Time passed: 1258ms (effective reasoning time: 792ms)
% 3.37/1.78 % 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)>
% 3.37/1.78 % Axioms used in derivation (0):
% 3.37/1.78 % No. of inferences in proof: 73
% 3.37/1.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1258 ms resp. 792 ms w/o parsing
% 3.75/1.88 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.75/1.88 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------