%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ011-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:21:04 AM UTC 2026
% Result : Unsatisfiable 3.33s 7.55s
% Output : Refutation 3.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 27
% Syntax : Number of formulae : 55 ( 53 unt; 0 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 : 0 ( 0 >; 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_decl,type,
ocean: $i > $o ).
thf(borders_decl,type,
borders: $i > $i > $o ).
thf(african_decl,type,
african: $i > $o ).
thf(asian_decl,type,
asian: $i > $o ).
thf(south_american_decl,type,
south_american: $i > $o ).
thf(venesuela_decl,type,
venesuela: $i ).
thf(brazil_decl,type,
brazil: $i ).
thf(uruguay_decl,type,
uruguay: $i ).
thf(nigeria_decl,type,
nigeria: $i ).
thf(indian_decl,type,
indian: $i ).
thf(atlantic_decl,type,
atlantic: $i ).
thf(zaire_decl,type,
zaire: $i ).
thf(iran_decl,type,
iran: $i ).
thf(angola_decl,type,
angola: $i ).
thf(pakistan_decl,type,
pakistan: $i ).
thf(tanzania_decl,type,
tanzania: $i ).
thf(india_decl,type,
india: $i ).
thf(somalia_decl,type,
somalia: $i ).
thf(kenya_decl,type,
kenya: $i ).
thf(24,axiom,
atlantic @ ocean,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atlantic) ).
thf(52,plain,
atlantic @ ocean,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(18,axiom,
india @ ( indian @ borders ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian_india) ).
thf(46,plain,
india @ ( indian @ borders ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(25,axiom,
kenya @ african,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kenya) ).
thf(53,plain,
kenya @ african,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(13,axiom,
brazil @ ( atlantic @ borders ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atlantic_brazil) ).
thf(41,plain,
brazil @ ( atlantic @ borders ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(16,axiom,
angola @ african,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',angola) ).
thf(44,plain,
angola @ african,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(11,axiom,
pakistan @ asian,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pakistan) ).
thf(39,plain,
pakistan @ asian,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(7,axiom,
zaire @ ( atlantic @ borders ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atlantic_zaire) ).
thf(35,plain,
zaire @ ( atlantic @ borders ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(20,axiom,
india @ asian,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',india) ).
thf(48,plain,
india @ asian,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(15,axiom,
pakistan @ ( indian @ borders ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian_pakistan) ).
thf(43,plain,
pakistan @ ( indian @ borders ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(19,axiom,
somalia @ ( indian @ borders ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian_somalia) ).
thf(47,plain,
somalia @ ( indian @ borders ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(14,axiom,
tanzania @ african,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tanzania) ).
thf(42,plain,
tanzania @ african,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(9,axiom,
zaire @ african,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zaire) ).
thf(37,plain,
zaire @ african,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,axiom,
nigeria @ african,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nigeria) ).
thf(33,plain,
nigeria @ african,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ asian )
| ~ ( C @ ( A @ borders ) )
| ~ ( B @ african )
| ~ ( B @ ( A @ borders ) )
| ~ ( A @ ocean ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_common_ocean) ).
thf(28,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ asian )
| ~ ( C @ ( A @ borders ) )
| ~ ( B @ african )
| ~ ( B @ ( A @ borders ) )
| ~ ( A @ ocean ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(10,axiom,
angola @ ( atlantic @ borders ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atlantic_angola) ).
thf(38,plain,
angola @ ( atlantic @ borders ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(17,axiom,
nigeria @ ( atlantic @ borders ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atlantic_nigeria) ).
thf(45,plain,
nigeria @ ( atlantic @ borders ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(4,axiom,
uruguay @ south_american,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uruguay) ).
thf(32,plain,
uruguay @ south_american,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
indian @ ocean,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian) ).
thf(34,plain,
indian @ ocean,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(26,axiom,
uruguay @ ( atlantic @ borders ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atlantic_uruguay) ).
thf(54,plain,
uruguay @ ( atlantic @ borders ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(21,axiom,
kenya @ ( indian @ borders ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian_kenya) ).
thf(49,plain,
kenya @ ( indian @ borders ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(22,axiom,
somalia @ african,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',somalia) ).
thf(50,plain,
somalia @ african,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(3,axiom,
brazil @ south_american,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',brazil) ).
thf(31,plain,
brazil @ south_american,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(12,axiom,
venesuela @ ( atlantic @ borders ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atlantic_venesuela) ).
thf(40,plain,
venesuela @ ( atlantic @ borders ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(27,axiom,
tanzania @ ( indian @ borders ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian_tanzania) ).
thf(55,plain,
tanzania @ ( indian @ borders ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(8,axiom,
iran @ ( indian @ borders ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian_iran) ).
thf(36,plain,
iran @ ( indian @ borders ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(2,axiom,
venesuela @ south_american,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',venezuela) ).
thf(30,plain,
venesuela @ south_american,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(23,axiom,
iran @ asian,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iran) ).
thf(51,plain,
iran @ asian,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(56,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
% 0.00/0.03 % Problem : PUZ011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.17/5.63 % Computer : n008.cluster.edu
% 0.17/5.63 % Model : x86_64 x86_64
% 0.17/5.63 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.63 % Memory : 8046.5625MB
% 0.17/5.63 % OS : Linux 6.8.0-71-generic
% 0.17/5.63 % CPULimit : 300
% 0.17/5.63 % WCLimit : 300
% 0.17/5.63 % DateTime : Sat Sep 26 05:04:46 UTC 2026
% 0.17/5.63 % CPUTime :
% 0.17/5.63 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.98/6.21 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.16/6.40 % [INFO] Parsing done (188ms).
% 1.16/6.41 % [INFO] Running in sequential loop mode.
% 1.95/6.81 % [INFO] eprover registered as external prover.
% 1.95/6.82 % [INFO] Scanning for conjecture ...
% 2.11/6.91 % [INFO] Found a conjecture (or negated_conjecture) and 26 axioms. Running axiom selection ...
% 2.11/6.99 % [INFO] Axiom selection finished. Selected 26 axioms (removed 0 axioms).
% 2.11/7.00 % [INFO] Problem is propositional (TPTP CNF).
% 2.11/7.00 % [INFO] Type checking passed.
% 2.11/7.01 % [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 ...
% 3.33/7.54 % External prover 'e' found a proof!
% 3.33/7.54 % [INFO] Killing All external provers ...
% 3.33/7.54 % Time passed: 1786ms (effective reasoning time: 1125ms)
% 3.33/7.55 % 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
% 3.33/7.55 % No. of inferences in proof: 55
% 3.33/7.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1786 ms resp. 1125 ms w/o parsing
% 3.33/7.60 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.33/7.60 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------