TSTP Solution File: PUZ011-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : PUZ011-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n018.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 11:47:24 EDT 2023
% Result : Unsatisfiable 3.12s 1.74s
% Output : Refutation 3.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 46
% Syntax : Number of formulae : 74 ( 53 unt; 19 typ; 0 def)
% Number of atoms : 63 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 108 ( 10 ~; 8 |; 0 &; 90 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 19 usr; 15 con; 0-2 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(ocean_type,type,
ocean: $i > $o ).
thf(borders_type,type,
borders: $i > $i > $o ).
thf(african_type,type,
african: $i > $o ).
thf(asian_type,type,
asian: $i > $o ).
thf(south_american_type,type,
south_american: $i > $o ).
thf(venesuela_type,type,
venesuela: $i ).
thf(brazil_type,type,
brazil: $i ).
thf(uruguay_type,type,
uruguay: $i ).
thf(nigeria_type,type,
nigeria: $i ).
thf(indian_type,type,
indian: $i ).
thf(atlantic_type,type,
atlantic: $i ).
thf(zaire_type,type,
zaire: $i ).
thf(iran_type,type,
iran: $i ).
thf(angola_type,type,
angola: $i ).
thf(pakistan_type,type,
pakistan: $i ).
thf(tanzania_type,type,
tanzania: $i ).
thf(india_type,type,
india: $i ).
thf(somalia_type,type,
somalia: $i ).
thf(kenya_type,type,
kenya: $i ).
thf(24,axiom,
ocean @ atlantic,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atlantic) ).
thf(52,plain,
ocean @ atlantic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(18,axiom,
borders @ indian @ india,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian_india) ).
thf(46,plain,
borders @ indian @ india,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(25,axiom,
african @ kenya,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kenya) ).
thf(53,plain,
african @ kenya,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(13,axiom,
borders @ atlantic @ brazil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atlantic_brazil) ).
thf(41,plain,
borders @ atlantic @ brazil,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(16,axiom,
african @ angola,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',angola) ).
thf(44,plain,
african @ angola,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(11,axiom,
asian @ pakistan,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pakistan) ).
thf(39,plain,
asian @ pakistan,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(7,axiom,
borders @ atlantic @ zaire,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atlantic_zaire) ).
thf(35,plain,
borders @ atlantic @ zaire,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(20,axiom,
asian @ india,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',india) ).
thf(48,plain,
asian @ india,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(15,axiom,
borders @ indian @ pakistan,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian_pakistan) ).
thf(43,plain,
borders @ indian @ pakistan,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(19,axiom,
borders @ indian @ somalia,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian_somalia) ).
thf(47,plain,
borders @ indian @ somalia,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(14,axiom,
african @ tanzania,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tanzania) ).
thf(42,plain,
african @ tanzania,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(9,axiom,
african @ zaire,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zaire) ).
thf(37,plain,
african @ zaire,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,axiom,
african @ nigeria,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nigeria) ).
thf(33,plain,
african @ nigeria,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( ocean @ A )
| ~ ( borders @ A @ B )
| ~ ( african @ B )
| ~ ( borders @ A @ C )
| ~ ( asian @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_common_ocean) ).
thf(28,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( ocean @ A )
| ~ ( borders @ A @ B )
| ~ ( african @ B )
| ~ ( borders @ A @ C )
| ~ ( asian @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(10,axiom,
borders @ atlantic @ angola,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atlantic_angola) ).
thf(38,plain,
borders @ atlantic @ angola,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(17,axiom,
borders @ atlantic @ nigeria,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atlantic_nigeria) ).
thf(45,plain,
borders @ atlantic @ nigeria,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(4,axiom,
south_american @ uruguay,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uruguay) ).
thf(32,plain,
south_american @ uruguay,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
ocean @ indian,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian) ).
thf(34,plain,
ocean @ indian,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(26,axiom,
borders @ atlantic @ uruguay,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atlantic_uruguay) ).
thf(54,plain,
borders @ atlantic @ uruguay,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(21,axiom,
borders @ indian @ kenya,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian_kenya) ).
thf(49,plain,
borders @ indian @ kenya,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(22,axiom,
african @ somalia,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',somalia) ).
thf(50,plain,
african @ somalia,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(3,axiom,
south_american @ brazil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',brazil) ).
thf(31,plain,
south_american @ brazil,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(12,axiom,
borders @ atlantic @ venesuela,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atlantic_venesuela) ).
thf(40,plain,
borders @ atlantic @ venesuela,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(27,axiom,
borders @ indian @ tanzania,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian_tanzania) ).
thf(55,plain,
borders @ indian @ tanzania,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(8,axiom,
borders @ indian @ iran,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian_iran) ).
thf(36,plain,
borders @ indian @ iran,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(2,axiom,
south_american @ venesuela,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',venezuela) ).
thf(30,plain,
south_american @ venesuela,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(23,axiom,
asian @ iran,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iran) ).
thf(51,plain,
asian @ iran,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(62,plain,
$false,
inference(e,[status(thm)],[52,46,53,41,44,39,35,48,43,47,42,37,33,28,38,45,32,34,54,49,50,31,40,55,36,30,51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ011-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 20:04:58 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.92/0.82 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.99/0.94 % [INFO] Parsing done (116ms).
% 1.26/0.94 % [INFO] Running in sequential loop mode.
% 1.71/1.16 % [INFO] eprover registered as external prover.
% 1.71/1.17 % [INFO] cvc4 registered as external prover.
% 1.71/1.17 % [INFO] Scanning for conjecture ...
% 1.71/1.23 % [INFO] Found a conjecture and 26 axioms. Running axiom selection ...
% 1.90/1.27 % [INFO] Axiom selection finished. Selected 26 axioms (removed 0 axioms).
% 2.04/1.29 % [INFO] Problem is propositional (TPTP CNF).
% 2.04/1.29 % [INFO] Type checking passed.
% 2.04/1.29 % [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 ...
% 3.12/1.73 % External prover 'e' found a proof!
% 3.12/1.73 % [INFO] Killing All external provers ...
% 3.12/1.73 % Time passed: 1222ms (effective reasoning time: 788ms)
% 3.12/1.74 % 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)>
% 3.12/1.74 % Axioms used in derivation (26): uruguay, indian_somalia, atlantic_brazil, pakistan, iran, indian_pakistan, atlantic_nigeria, indian_iran, indian, venezuela, indian_tanzania, indian_kenya, atlantic, india, brazil, indian_india, somalia, atlantic_zaire, angola, tanzania, zaire, kenya, atlantic_angola, nigeria, atlantic_venesuela, atlantic_uruguay
% 3.12/1.74 % No. of inferences in proof: 55
% 3.12/1.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1222 ms resp. 788 ms w/o parsing
% 3.35/1.76 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.35/1.76 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------