TSTP Solution File: PLA001-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : PLA001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n026.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 11:46:46 EDT 2023
% Result : Unsatisfiable 2.86s 1.67s
% Output : Refutation 3.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 36
% Syntax : Number of formulae : 53 ( 25 unt; 20 typ; 0 def)
% Number of atoms : 45 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 182 ( 14 ~; 12 |; 0 &; 156 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 20 usr; 15 con; 0-4 aty)
% Number of variables : 40 ( 0 ^; 40 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(at_type,type,
at: $i > $i > $i > $i > $o ).
thf(desMoines_type,type,
desMoines: $i ).
thf(s_type,type,
s: $i > $i ).
thf(none_type,type,
none: $i ).
thf(next_to_type,type,
next_to: $i > $i > $o ).
thf(lincoln_type,type,
lincoln: $i ).
thf(omaha_type,type,
omaha: $i ).
thf(saltLakeCity_type,type,
saltLakeCity: $i ).
thf(rockSprings_type,type,
rockSprings: $i ).
thf(northPlatte_type,type,
northPlatte: $i ).
thf(grandIsland_type,type,
grandIsland: $i ).
thf(laramie_type,type,
laramie: $i ).
thf(winnemucca_type,type,
winnemucca: $i ).
thf(elko_type,type,
elko: $i ).
thf(cheyenne_type,type,
cheyenne: $i ).
thf(wait_at_type,type,
wait_at: $i > $i ).
thf(buy_type,type,
buy: $i > $i ).
thf(start_type,type,
start: $i ).
thf(initial_situation_type,type,
initial_situation: $i ).
thf(drive_type,type,
drive: $i > $i > $i ).
thf(3,axiom,
next_to @ saltLakeCity @ rockSprings,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map3) ).
thf(20,plain,
next_to @ saltLakeCity @ rockSprings,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( at @ A @ B @ C @ D )
| ( at @ A @ ( s @ B ) @ ( s @ C ) @ ( buy @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',buy_in_city) ).
thf(31,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( at @ A @ B @ C @ D )
| ( at @ A @ ( s @ B ) @ ( s @ C ) @ ( buy @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(7,axiom,
next_to @ grandIsland @ lincoln,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map8) ).
thf(24,plain,
next_to @ grandIsland @ lincoln,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(8,axiom,
next_to @ cheyenne @ northPlatte,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map6) ).
thf(25,plain,
next_to @ cheyenne @ northPlatte,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(11,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( at @ A @ B @ C @ D )
| ( at @ A @ B @ ( s @ C ) @ ( wait_at @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wait_in_city) ).
thf(28,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( at @ A @ B @ C @ D )
| ( at @ A @ B @ ( s @ C ) @ ( wait_at @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(4,axiom,
next_to @ northPlatte @ grandIsland,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map7) ).
thf(21,plain,
next_to @ northPlatte @ grandIsland,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(14,axiom,
at @ cheyenne @ none @ start @ initial_situation,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial) ).
thf(33,plain,
at @ cheyenne @ none @ start @ initial_situation,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(15,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( at @ A @ B @ C @ D )
| ~ ( next_to @ E @ A )
| ( at @ E @ B @ ( s @ ( s @ C ) ) @ ( drive @ E @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',drive2) ).
thf(34,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( at @ A @ B @ C @ D )
| ~ ( next_to @ E @ A )
| ( at @ E @ B @ ( s @ ( s @ C ) ) @ ( drive @ E @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(1,negated_conjecture,
! [B: $i,A: $i] :
~ ( at @ desMoines @ ( s @ none ) @ A @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_you_gat_get_there_with_bread) ).
thf(17,plain,
! [B: $i,A: $i] :
~ ( at @ desMoines @ ( s @ none ) @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(5,axiom,
next_to @ rockSprings @ laramie,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map4) ).
thf(22,plain,
next_to @ rockSprings @ laramie,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(10,axiom,
next_to @ elko @ saltLakeCity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map2) ).
thf(27,plain,
next_to @ elko @ saltLakeCity,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(9,axiom,
next_to @ laramie @ cheyenne,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map5) ).
thf(26,plain,
next_to @ laramie @ cheyenne,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(6,axiom,
next_to @ winnemucca @ elko,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map1) ).
thf(23,plain,
next_to @ winnemucca @ elko,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(16,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( at @ A @ B @ C @ D )
| ~ ( next_to @ A @ E )
| ( at @ E @ B @ ( s @ ( s @ C ) ) @ ( drive @ E @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',drive1) ).
thf(36,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( at @ A @ B @ C @ D )
| ~ ( next_to @ A @ E )
| ( at @ E @ B @ ( s @ ( s @ C ) ) @ ( drive @ E @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(12,axiom,
next_to @ omaha @ desMoines,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map10) ).
thf(30,plain,
next_to @ omaha @ desMoines,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(2,axiom,
next_to @ lincoln @ omaha,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',map9) ).
thf(19,plain,
next_to @ lincoln @ omaha,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(38,plain,
$false,
inference(e,[status(thm)],[20,31,24,25,28,21,33,34,17,22,27,26,23,36,30,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PLA001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n026.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu May 18 21:00:21 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.96/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.27/1.00 % [INFO] Parsing done (123ms).
% 1.27/1.01 % [INFO] Running in sequential loop mode.
% 1.78/1.24 % [INFO] eprover registered as external prover.
% 1.78/1.24 % [INFO] cvc4 registered as external prover.
% 1.78/1.24 % [INFO] Scanning for conjecture ...
% 1.94/1.30 % [INFO] Found a conjecture and 15 axioms. Running axiom selection ...
% 1.94/1.35 % [INFO] Axiom selection finished. Selected 15 axioms (removed 0 axioms).
% 1.94/1.36 % [INFO] Problem is propositional (TPTP CNF).
% 1.94/1.37 % [INFO] Type checking passed.
% 2.19/1.37 % [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 ...
% 2.86/1.67 % External prover 'e' found a proof!
% 2.86/1.67 % [INFO] Killing All external provers ...
% 2.86/1.67 % Time passed: 1127ms (effective reasoning time: 652ms)
% 2.86/1.67 % 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)>
% 2.86/1.67 % Axioms used in derivation (15): map7, map8, map9, map3, map10, map6, map1, map4, initial, drive2, map5, wait_in_city, buy_in_city, drive1, map2
% 2.86/1.67 % No. of inferences in proof: 33
% 2.86/1.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1127 ms resp. 652 ms w/o parsing
% 3.04/1.70 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.04/1.70 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------