%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ013-1 : 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 : n012.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 08:21:05 AM UTC 2026
% Result : Unsatisfiable 1.69s 16.66s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 20
% Syntax : Number of formulae : 41 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 99 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 106 ( 48 ~; 58 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 14 con; 0-0 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(some_monitors_are_awake_decl,type,
some_monitors_are_awake: $o ).
thf(some_scotch_dance_not_decl,type,
some_scotch_dance_not: $o ).
thf(some_irish_fight_not_decl,type,
some_irish_fight_not: $o ).
thf(some_germans_play_decl,type,
some_germans_play: $o ).
thf(some_germans_play_not_decl,type,
some_germans_play_not: $o ).
thf(some_english_sing_decl,type,
some_english_sing: $o ).
thf(some_monitors_are_not_awake_decl,type,
some_monitors_are_not_awake: $o ).
thf(some_welsh_eat_decl,type,
some_welsh_eat: $o ).
thf(some_welsh_eat_not_decl,type,
some_welsh_eat_not: $o ).
thf(some_scotch_dance_decl,type,
some_scotch_dance: $o ).
thf(some_of_the_eleven_are_not_oiling_decl,type,
some_of_the_eleven_are_not_oiling: $o ).
thf(some_irish_fight_decl,type,
some_irish_fight: $o ).
thf(some_english_sing_not_decl,type,
some_english_sing_not: $o ).
thf(18,axiom,
( some_irish_fight
| ~ some_monitors_are_not_awake
| ~ some_monitors_are_awake ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c4) ).
thf(53,plain,
( some_irish_fight
| ~ some_monitors_are_not_awake
| ~ some_monitors_are_awake ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(13,axiom,
( some_english_sing
| some_english_sing_not ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c12) ).
thf(44,plain,
( some_english_sing
| some_english_sing_not ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(16,axiom,
( some_scotch_dance
| ~ some_of_the_eleven_are_not_oiling
| ~ some_monitors_are_awake ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).
thf(49,plain,
( some_scotch_dance
| ~ some_of_the_eleven_are_not_oiling
| ~ some_monitors_are_awake ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(15,axiom,
( ~ some_germans_play
| ~ some_scotch_dance_not
| some_english_sing_not
| ~ some_english_sing ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9) ).
thf(47,plain,
( ~ some_germans_play
| ~ some_scotch_dance_not
| some_english_sing_not
| ~ some_english_sing ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(12,axiom,
( some_irish_fight_not
| some_irish_fight ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c15) ).
thf(42,plain,
( some_irish_fight_not
| some_irish_fight ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(3,axiom,
( some_germans_play
| ~ some_irish_fight_not
| ~ some_scotch_dance_not ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6) ).
thf(24,plain,
( some_germans_play
| ~ some_irish_fight_not
| ~ some_scotch_dance_not ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(14,axiom,
some_english_sing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c18) ).
thf(46,plain,
some_english_sing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(20,axiom,
( some_monitors_are_awake
| some_monitors_are_not_awake ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c13) ).
thf(57,plain,
( some_monitors_are_awake
| some_monitors_are_not_awake ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(1,negated_conjecture,
~ some_monitors_are_awake,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_some_monitors_are_awake) ).
thf(21,plain,
~ some_monitors_are_awake,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(5,axiom,
( some_irish_fight_not
| ~ some_monitors_are_not_awake
| ~ some_english_sing ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
thf(28,plain,
( some_irish_fight_not
| ~ some_monitors_are_not_awake
| ~ some_english_sing ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(10,axiom,
( ~ some_irish_fight
| ~ some_welsh_eat_not
| ~ some_germans_play_not ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c8) ).
thf(38,plain,
( ~ some_irish_fight
| ~ some_welsh_eat_not
| ~ some_germans_play_not ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(7,axiom,
( some_scotch_dance_not
| some_scotch_dance ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c14) ).
thf(32,plain,
( some_scotch_dance_not
| some_scotch_dance ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(8,axiom,
( some_of_the_eleven_are_not_oiling
| some_germans_play_not
| ~ some_germans_play ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3) ).
thf(34,plain,
( some_of_the_eleven_are_not_oiling
| some_germans_play_not
| ~ some_germans_play ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(11,axiom,
( some_welsh_eat
| ~ some_irish_fight
| ~ some_scotch_dance ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2) ).
thf(40,plain,
( some_welsh_eat
| ~ some_irish_fight
| ~ some_scotch_dance ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(4,axiom,
( some_germans_play_not
| some_germans_play ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c17) ).
thf(26,plain,
( some_germans_play_not
| some_germans_play ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(19,axiom,
( some_monitors_are_awake
| ~ some_english_sing_not
| ~ some_english_sing ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).
thf(55,plain,
( some_monitors_are_awake
| ~ some_english_sing_not
| ~ some_english_sing ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(2,axiom,
some_scotch_dance_not,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c19) ).
thf(23,plain,
some_scotch_dance_not,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,axiom,
( some_welsh_eat_not
| some_scotch_dance
| ~ some_germans_play ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5) ).
thf(36,plain,
( some_welsh_eat_not
| some_scotch_dance
| ~ some_germans_play ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(6,axiom,
( some_welsh_eat_not
| some_welsh_eat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c16) ).
thf(30,plain,
( some_welsh_eat_not
| some_welsh_eat ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(17,axiom,
( ~ some_scotch_dance
| ~ some_welsh_eat
| ~ some_monitors_are_awake ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c7) ).
thf(51,plain,
( ~ some_scotch_dance
| ~ some_welsh_eat
| ~ some_monitors_are_awake ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(59,plain,
$false,
inference(e,[status(thm)],[53,44,49,47,42,24,46,57,21,28,38,32,34,40,26,55,23,36,30,51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : PUZ013-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % 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
% 0.07/15.73 % Computer : n012.cluster.edu
% 0.07/15.73 % Model : x86_64 x86_64
% 0.07/15.73 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/15.73 % Memory : 8046.5625MB
% 0.07/15.73 % OS : Linux 6.8.0-71-generic
% 0.07/15.73 % CPULimit : 300
% 0.07/15.73 % WCLimit : 300
% 0.07/15.73 % DateTime : Sat Sep 26 05:03:39 UTC 2026
% 0.07/15.73 % CPUTime :
% 0.07/15.73 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
% 0.51/16.02 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.51/16.11 % [INFO] Parsing done (94ms).
% 0.72/16.12 % [INFO] Running in sequential loop mode.
% 1.03/16.31 % [INFO] eprover registered as external prover.
% 1.03/16.32 % [INFO] Scanning for conjecture ...
% 1.03/16.36 % [INFO] Found a conjecture (or negated_conjecture) and 19 axioms. Running axiom selection ...
% 1.03/16.38 % [INFO] Axiom selection finished. Selected 19 axioms (removed 0 axioms).
% 1.03/16.39 % [INFO] Problem is propositional (TPTP CNF).
% 1.03/16.40 % [INFO] Type checking passed.
% 1.20/16.40 % [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 ...
% 1.69/16.66 % External prover 'e' found a proof!
% 1.69/16.66 % [INFO] Killing All external provers ...
% 1.69/16.66 % Time passed: 846ms (effective reasoning time: 537ms)
% 1.69/16.66 % Axioms used in derivation (19): c15, c19, c16, c18, c13, c7, c17, c14, c10, c3, c4, c11, c8, c5, c2, c9, c12, c1, c6
% 1.69/16.66 % No. of inferences in proof: 41
% 1.69/16.66 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 846 ms resp. 537 ms w/o parsing
% 1.69/16.68 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.69/16.68 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------