TSTP Solution File: NLP001^17 by Leo-III---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : NLP001^17 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.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 : Tue May 21 00:58:24 EDT 2024
% Result : Theorem 3.99s 1.96s
% Output : Refutation 4.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 31
% Syntax : Number of formulae : 38 ( 9 unt; 22 typ; 4 def)
% Number of atoms : 354 ( 4 equ; 0 cnn)
% Maximal formula atoms : 128 ( 22 avg)
% Number of connectives : 671 ( 2 ~; 0 |; 75 &; 587 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 9 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 58 ( 58 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 2 con; 0-3 aty)
% Number of variables : 76 ( 41 ^ 16 !; 19 ?; 76 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
thf(mactual_type,type,
mactual: mworld ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(mlocal_def,definition,
( mlocal
= ( ^ [A: mworld > $o] : ( A @ mactual ) ) ) ).
thf(mand_type,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mand_def,definition,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,C: mworld] :
( ( A @ C )
& ( B @ C ) ) ) ) ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mimplies_def,definition,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,C: mworld] :
( ( A @ C )
=> ( B @ C ) ) ) ) ).
thf(eiw_di_type,type,
eiw_di: $i > mworld > $o ).
thf(mexists_di_type,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(mexists_di_def,definition,
( mexists_di
= ( ^ [A: $i > mworld > $o,B: mworld] :
? [C: $i] :
( ( eiw_di @ C @ B )
& ( A @ C @ B ) ) ) ) ).
thf(chevy_type,type,
chevy: $i > mworld > $o ).
thf(dirty_type,type,
dirty: $i > mworld > $o ).
thf(barrel_type,type,
barrel: $i > $i > mworld > $o ).
thf(hollywood_type,type,
hollywood: $i > mworld > $o ).
thf(city_type,type,
city: $i > mworld > $o ).
thf(in_type,type,
in: $i > $i > mworld > $o ).
thf(old_type,type,
old: $i > mworld > $o ).
thf(down_type,type,
down: $i > $i > mworld > $o ).
thf(way_type,type,
way: $i > mworld > $o ).
thf(white_type,type,
white: $i > mworld > $o ).
thf(car_type,type,
car: $i > mworld > $o ).
thf(street_type,type,
street: $i > mworld > $o ).
thf(event_type,type,
event: $i > mworld > $o ).
thf(lonely_type,type,
lonely: $i > mworld > $o ).
thf(6,axiom,
! [A: mworld,B: mworld,C: $i] :
( ( ( eiw_di @ C @ A )
& ( mrel @ A @ B ) )
=> ( eiw_di @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_cumul) ).
thf(53,plain,
! [A: mworld,B: mworld,C: $i] :
( ( ( eiw_di @ C @ A )
& ( mrel @ A @ B ) )
=> ( eiw_di @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
! [A: mworld,B: mworld,C: mworld] :
( ( ( mrel @ A @ C )
& ( mrel @ A @ B ) )
=> ( mrel @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_euclidean) ).
thf(49,plain,
! [A: mworld,B: mworld,C: mworld] :
( ( ( mrel @ A @ C )
& ( mrel @ A @ B ) )
=> ( mrel @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,conjecture,
( mlocal
@ ( mand
@ ( mimplies
@ ( mexists_di
@ ^ [A: $i] :
( mexists_di
@ ^ [B: $i] :
( mexists_di
@ ^ [C: $i] :
( mexists_di
@ ^ [D: $i] : ( mand @ ( hollywood @ A ) @ ( mand @ ( city @ A ) @ ( mand @ ( event @ B ) @ ( mand @ ( street @ C ) @ ( mand @ ( way @ C ) @ ( mand @ ( lonely @ C ) @ ( mand @ ( chevy @ D ) @ ( mand @ ( car @ D ) @ ( mand @ ( white @ D ) @ ( mand @ ( dirty @ D ) @ ( mand @ ( old @ D ) @ ( mand @ ( barrel @ B @ D ) @ ( mand @ ( down @ B @ C ) @ ( in @ B @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_di
@ ^ [A: $i] :
( mexists_di
@ ^ [B: $i] :
( mexists_di
@ ^ [C: $i] :
( mexists_di
@ ^ [D: $i] : ( mand @ ( hollywood @ A ) @ ( mand @ ( city @ A ) @ ( mand @ ( event @ B ) @ ( mand @ ( chevy @ C ) @ ( mand @ ( car @ C ) @ ( mand @ ( white @ C ) @ ( mand @ ( dirty @ C ) @ ( mand @ ( old @ C ) @ ( mand @ ( street @ D ) @ ( mand @ ( way @ D ) @ ( mand @ ( lonely @ D ) @ ( mand @ ( barrel @ B @ C ) @ ( mand @ ( down @ B @ D ) @ ( in @ B @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mimplies
@ ( mexists_di
@ ^ [A: $i] :
( mexists_di
@ ^ [B: $i] :
( mexists_di
@ ^ [C: $i] :
( mexists_di
@ ^ [D: $i] : ( mand @ ( hollywood @ A ) @ ( mand @ ( city @ A ) @ ( mand @ ( event @ B ) @ ( mand @ ( chevy @ C ) @ ( mand @ ( car @ C ) @ ( mand @ ( white @ C ) @ ( mand @ ( dirty @ C ) @ ( mand @ ( old @ C ) @ ( mand @ ( street @ D ) @ ( mand @ ( way @ D ) @ ( mand @ ( lonely @ D ) @ ( mand @ ( barrel @ B @ C ) @ ( mand @ ( down @ B @ D ) @ ( in @ B @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_di
@ ^ [A: $i] :
( mexists_di
@ ^ [B: $i] :
( mexists_di
@ ^ [C: $i] :
( mexists_di
@ ^ [D: $i] : ( mand @ ( hollywood @ A ) @ ( mand @ ( city @ A ) @ ( mand @ ( event @ B ) @ ( mand @ ( street @ C ) @ ( mand @ ( way @ C ) @ ( mand @ ( lonely @ C ) @ ( mand @ ( chevy @ D ) @ ( mand @ ( car @ D ) @ ( mand @ ( white @ D ) @ ( mand @ ( dirty @ D ) @ ( mand @ ( old @ D ) @ ( mand @ ( barrel @ B @ D ) @ ( mand @ ( down @ B @ C ) @ ( in @ B @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
thf(2,negated_conjecture,
~ ( mlocal
@ ( mand
@ ( mimplies
@ ( mexists_di
@ ^ [A: $i] :
( mexists_di
@ ^ [B: $i] :
( mexists_di
@ ^ [C: $i] :
( mexists_di
@ ^ [D: $i] : ( mand @ ( hollywood @ A ) @ ( mand @ ( city @ A ) @ ( mand @ ( event @ B ) @ ( mand @ ( street @ C ) @ ( mand @ ( way @ C ) @ ( mand @ ( lonely @ C ) @ ( mand @ ( chevy @ D ) @ ( mand @ ( car @ D ) @ ( mand @ ( white @ D ) @ ( mand @ ( dirty @ D ) @ ( mand @ ( old @ D ) @ ( mand @ ( barrel @ B @ D ) @ ( mand @ ( down @ B @ C ) @ ( in @ B @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_di
@ ^ [A: $i] :
( mexists_di
@ ^ [B: $i] :
( mexists_di
@ ^ [C: $i] :
( mexists_di
@ ^ [D: $i] : ( mand @ ( hollywood @ A ) @ ( mand @ ( city @ A ) @ ( mand @ ( event @ B ) @ ( mand @ ( chevy @ C ) @ ( mand @ ( car @ C ) @ ( mand @ ( white @ C ) @ ( mand @ ( dirty @ C ) @ ( mand @ ( old @ C ) @ ( mand @ ( street @ D ) @ ( mand @ ( way @ D ) @ ( mand @ ( lonely @ D ) @ ( mand @ ( barrel @ B @ C ) @ ( mand @ ( down @ B @ D ) @ ( in @ B @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mimplies
@ ( mexists_di
@ ^ [A: $i] :
( mexists_di
@ ^ [B: $i] :
( mexists_di
@ ^ [C: $i] :
( mexists_di
@ ^ [D: $i] : ( mand @ ( hollywood @ A ) @ ( mand @ ( city @ A ) @ ( mand @ ( event @ B ) @ ( mand @ ( chevy @ C ) @ ( mand @ ( car @ C ) @ ( mand @ ( white @ C ) @ ( mand @ ( dirty @ C ) @ ( mand @ ( old @ C ) @ ( mand @ ( street @ D ) @ ( mand @ ( way @ D ) @ ( mand @ ( lonely @ D ) @ ( mand @ ( barrel @ B @ C ) @ ( mand @ ( down @ B @ D ) @ ( in @ B @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_di
@ ^ [A: $i] :
( mexists_di
@ ^ [B: $i] :
( mexists_di
@ ^ [C: $i] :
( mexists_di
@ ^ [D: $i] : ( mand @ ( hollywood @ A ) @ ( mand @ ( city @ A ) @ ( mand @ ( event @ B ) @ ( mand @ ( street @ C ) @ ( mand @ ( way @ C ) @ ( mand @ ( lonely @ C ) @ ( mand @ ( chevy @ D ) @ ( mand @ ( car @ D ) @ ( mand @ ( white @ D ) @ ( mand @ ( dirty @ D ) @ ( mand @ ( old @ D ) @ ( mand @ ( barrel @ B @ D ) @ ( mand @ ( down @ B @ C ) @ ( in @ B @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ( ( ? [A: $i] :
( ( eiw_di @ A @ mactual )
& ? [B: $i] :
( ( eiw_di @ B @ mactual )
& ? [C: $i] :
( ( eiw_di @ C @ mactual )
& ? [D: $i] :
( ( eiw_di @ D @ mactual )
& ( hollywood @ A @ mactual )
& ( city @ A @ mactual )
& ( event @ B @ mactual )
& ( street @ C @ mactual )
& ( way @ C @ mactual )
& ( lonely @ C @ mactual )
& ( chevy @ D @ mactual )
& ( car @ D @ mactual )
& ( white @ D @ mactual )
& ( dirty @ D @ mactual )
& ( old @ D @ mactual )
& ( barrel @ B @ D @ mactual )
& ( down @ B @ C @ mactual )
& ( in @ B @ A @ mactual ) ) ) ) )
=> ? [A: $i] :
( ( eiw_di @ A @ mactual )
& ? [B: $i] :
( ( eiw_di @ B @ mactual )
& ? [C: $i] :
( ( eiw_di @ C @ mactual )
& ? [D: $i] :
( ( eiw_di @ D @ mactual )
& ( hollywood @ A @ mactual )
& ( city @ A @ mactual )
& ( event @ B @ mactual )
& ( chevy @ C @ mactual )
& ( car @ C @ mactual )
& ( white @ C @ mactual )
& ( dirty @ C @ mactual )
& ( old @ C @ mactual )
& ( street @ D @ mactual )
& ( way @ D @ mactual )
& ( lonely @ D @ mactual )
& ( barrel @ B @ C @ mactual )
& ( down @ B @ D @ mactual )
& ( in @ B @ A @ mactual ) ) ) ) ) )
& ( ? [A: $i] :
( ( eiw_di @ A @ mactual )
& ? [B: $i] :
( ( eiw_di @ B @ mactual )
& ? [C: $i] :
( ( eiw_di @ C @ mactual )
& ? [D: $i] :
( ( eiw_di @ D @ mactual )
& ( hollywood @ A @ mactual )
& ( city @ A @ mactual )
& ( event @ B @ mactual )
& ( chevy @ C @ mactual )
& ( car @ C @ mactual )
& ( white @ C @ mactual )
& ( dirty @ C @ mactual )
& ( old @ C @ mactual )
& ( street @ D @ mactual )
& ( way @ D @ mactual )
& ( lonely @ D @ mactual )
& ( barrel @ B @ C @ mactual )
& ( down @ B @ D @ mactual )
& ( in @ B @ A @ mactual ) ) ) ) )
=> ? [A: $i] :
( ( eiw_di @ A @ mactual )
& ? [B: $i] :
( ( eiw_di @ B @ mactual )
& ? [C: $i] :
( ( eiw_di @ C @ mactual )
& ? [D: $i] :
( ( eiw_di @ D @ mactual )
& ( hollywood @ A @ mactual )
& ( city @ A @ mactual )
& ( event @ B @ mactual )
& ( street @ C @ mactual )
& ( way @ C @ mactual )
& ( lonely @ C @ mactual )
& ( chevy @ D @ mactual )
& ( car @ D @ mactual )
& ( white @ D @ mactual )
& ( dirty @ D @ mactual )
& ( old @ D @ mactual )
& ( barrel @ B @ D @ mactual )
& ( down @ B @ C @ mactual )
& ( in @ B @ A @ mactual ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [A: mworld] :
? [B: $i] : ( eiw_di @ B @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_nonempty) ).
thf(51,plain,
! [A: mworld] :
? [B: $i] : ( eiw_di @ B @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
! [A: mworld] : ( mrel @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
thf(47,plain,
! [A: mworld] : ( mrel @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(55,plain,
$false,
inference(e,[status(thm)],[53,49,7,51,47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NLP001^17 : TPTP v8.2.0. Released v8.1.0.
% 0.16/0.15 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n005.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun May 19 22:05:24 EDT 2024
% 0.22/0.37 % CPUTime :
% 0.97/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.28/1.00 % [INFO] Parsing done (134ms).
% 1.28/1.01 % [INFO] Running in sequential loop mode.
% 1.79/1.22 % [INFO] eprover registered as external prover.
% 1.79/1.22 % [INFO] cvc4 registered as external prover.
% 1.79/1.22 % [INFO] Scanning for conjecture ...
% 2.16/1.32 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 2.16/1.35 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 2.31/1.36 % [INFO] Problem is higher-order (TPTP THF).
% 2.31/1.36 % [INFO] Type checking passed.
% 2.31/1.36 % [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 ...
% 3.99/1.95 % External prover 'e' found a proof!
% 3.99/1.95 % [INFO] Killing All external provers ...
% 3.99/1.95 % Time passed: 1424ms (effective reasoning time: 939ms)
% 3.99/1.95 % 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)>
% 3.99/1.95 % Axioms used in derivation (4): eiw_di_cumul, mrel_euclidean, eiw_di_nonempty, mrel_reflexive
% 3.99/1.95 % No. of inferences in proof: 12
% 3.99/1.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1424 ms resp. 939 ms w/o parsing
% 4.18/2.01 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.18/2.01 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------