%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/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 08:21:01 AM UTC 2026
% Result : Unsatisfiable 3.34s 2.26s
% Output : Refutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 12
% Syntax : Number of formulae : 25 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 114 ( 20 ~; 18 |; 0 &; 76 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 0 ^; 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(killed_decl,type,
killed: $i > $i > $o ).
thf(butler_decl,type,
butler: $i ).
thf(agatha_decl,type,
agatha: $i ).
thf(charles_decl,type,
charles: $i ).
thf(lives_decl,type,
lives: $i > $o ).
thf(richer_decl,type,
richer: $i > $i > $o ).
thf(hates_decl,type,
hates: $i > $i > $o ).
thf(6,axiom,
! [A: $i] :
( ~ ( A @ ( charles @ hates ) )
| ~ ( A @ ( agatha @ hates ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',different_hates) ).
thf(20,plain,
! [A: $i] :
( ~ ( A @ ( charles @ hates ) )
| ~ ( A @ ( agatha @ hates ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ ( butler @ hates ) )
| ~ ( A @ ( agatha @ hates ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',same_hates) ).
thf(28,plain,
! [A: $i] :
( ( A @ ( butler @ hates ) )
| ~ ( A @ ( agatha @ hates ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(1,negated_conjecture,
( ( agatha @ ( charles @ killed ) )
| ( agatha @ ( butler @ killed ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_neither_charles_nor_butler_did_it) ).
thf(13,plain,
( ( agatha @ ( charles @ killed ) )
| ( agatha @ ( butler @ killed ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(4,axiom,
charles @ lives,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',charles) ).
thf(17,plain,
charles @ lives,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
! [A: $i] :
( ~ ( charles @ ( A @ hates ) )
| ~ ( butler @ ( A @ hates ) )
| ~ ( agatha @ ( A @ hates ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_one_hates_everyone) ).
thf(22,plain,
! [A: $i] :
( ~ ( charles @ ( A @ hates ) )
| ~ ( butler @ ( A @ hates ) )
| ~ ( agatha @ ( A @ hates ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ richer ) )
| ~ ( B @ ( A @ killed ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',poorer_killer) ).
thf(18,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ richer ) )
| ~ ( B @ ( A @ killed ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
butler @ lives,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',butler) ).
thf(16,plain,
butler @ lives,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ hates ) )
| ~ ( B @ ( A @ killed ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',killer_hates_victim) ).
thf(26,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ hates ) )
| ~ ( B @ ( A @ killed ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ ( butler @ hates ) )
| ( agatha @ ( A @ richer ) )
| ~ ( A @ lives ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',butler_hates_poor) ).
thf(30,plain,
! [A: $i] :
( ( A @ ( butler @ hates ) )
| ( agatha @ ( A @ richer ) )
| ~ ( A @ lives ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(2,axiom,
agatha @ lives,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agatha) ).
thf(15,plain,
agatha @ lives,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,axiom,
agatha @ ( agatha @ hates ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agatha_hates_agatha) ).
thf(24,plain,
agatha @ ( agatha @ hates ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(9,axiom,
charles @ ( agatha @ hates ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agatha_hates_charles) ).
thf(25,plain,
charles @ ( agatha @ hates ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(32,plain,
$false,
inference(e,[status(thm)],[20,28,13,17,22,18,16,26,30,15,24,25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.15/0.39 % Computer : n008.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8046.5625MB
% 0.15/0.39 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Sat Sep 26 05:03:24 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.88/0.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/1.18 % [INFO] Parsing done (190ms).
% 1.25/1.19 % [INFO] Running in sequential loop mode.
% 2.07/1.60 % [INFO] eprover registered as external prover.
% 2.07/1.61 % [INFO] Scanning for conjecture ...
% 2.07/1.69 % [INFO] Found a conjecture (or negated_conjecture) and 11 axioms. Running axiom selection ...
% 2.25/1.73 % [INFO] Axiom selection finished. Selected 11 axioms (removed 0 axioms).
% 2.25/1.74 % [INFO] Problem is propositional (TPTP CNF).
% 2.25/1.75 % [INFO] Type checking passed.
% 2.25/1.75 % [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 ...
% 3.34/2.25 % External prover 'e' found a proof!
% 3.34/2.26 % [INFO] Killing All external provers ...
% 3.34/2.26 % Time passed: 1715ms (effective reasoning time: 1060ms)
% 3.34/2.26 % Axioms used in derivation (11): butler, no_one_hates_everyone, charles, agatha, agatha_hates_charles, different_hates, poorer_killer, same_hates, butler_hates_poor, agatha_hates_agatha, killer_hates_victim
% 3.34/2.26 % No. of inferences in proof: 25
% 3.34/2.26 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1715 ms resp. 1060 ms w/o parsing
% 3.63/2.30 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.63/2.30 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------