%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SET043-5 : 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 : n002.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 08:29:02 AM UTC 2026
% Result : Unsatisfiable 4.22s 2.79s
% Output : Refutation 4.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 24 ( 4 ~; 4 |; 0 &; 16 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 0 ^; 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(element_decl,type,
element: $i > $i > $o ).
thf(a_decl,type,
a: $i ).
thf(1,negated_conjecture,
! [A: $i] :
( ~ ( A @ ( A @ element ) )
| ~ ( a @ ( A @ element ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
thf(3,plain,
! [A: $i] :
( ~ ( A @ ( A @ element ) )
| ~ ( a @ ( A @ element ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
! [A: $i] :
( ( a @ ( A @ element ) )
| ( A @ ( A @ element ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
thf(4,plain,
! [A: $i] :
( ( a @ ( A @ element ) )
| ( A @ ( A @ element ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,plain,
$false,
inference(e,[status(thm)],[3,4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET043-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % 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
% 0.11/0.38 % Computer : n002.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 26 07:02:05 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 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
% 1.22/1.15 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.55/1.32 % [INFO] Parsing done (166ms).
% 1.55/1.34 % [INFO] Running in sequential loop mode.
% 2.51/1.93 % [INFO] eprover registered as external prover.
% 2.51/1.94 % [INFO] Scanning for conjecture ...
% 2.79/2.06 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.79/2.10 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.79/2.10 % [INFO] Problem is propositional (TPTP CNF).
% 2.79/2.10 % [INFO] Type checking passed.
% 2.79/2.11 % [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 ...
% 4.22/2.79 % External prover 'e' found a proof!
% 4.22/2.79 % [INFO] Killing All external provers ...
% 4.22/2.79 % Time passed: 2204ms (effective reasoning time: 1439ms)
% 4.22/2.79 % Axioms used in derivation (0):
% 4.22/2.79 % No. of inferences in proof: 5
% 4.22/2.79 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2204 ms resp. 1439 ms w/o parsing
% 4.47/2.83 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.47/2.83 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------