%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL181-2 : 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 : n004.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 07:51:03 AM UTC 2026
% Result : Unsatisfiable 3.15s 2.31s
% Output : Refutation 3.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 4 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_decl,type,
p: $o ).
thf(q_decl,type,
q: $o ).
thf(1,negated_conjecture,
( q
| p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
thf(5,plain,
( q
| p ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
( ~ p
| ~ q ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
thf(6,plain,
( ~ p
| ~ q ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,negated_conjecture,
~ q,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
thf(7,plain,
~ q,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,negated_conjecture,
~ p,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
thf(8,plain,
~ p,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(13,plain,
$false,
inference(e,[status(thm)],[5,6,7,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL181-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % 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
% 0.14/0.56 % Computer : n004.cluster.edu
% 0.14/0.56 % Model : x86_64 x86_64
% 0.14/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.56 % Memory : 8046.5625MB
% 0.14/0.56 % OS : Linux 6.8.0-71-generic
% 0.14/0.56 % CPULimit : 300
% 0.14/0.56 % WCLimit : 300
% 0.14/0.56 % DateTime : Fri Sep 25 21:58:06 UTC 2026
% 0.14/0.57 % CPUTime :
% 0.14/0.57 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
% 0.97/1.16 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/1.34 % [INFO] Parsing done (174ms).
% 1.26/1.35 % [INFO] Running in sequential loop mode.
% 1.84/1.76 % [INFO] eprover registered as external prover.
% 1.84/1.77 % [INFO] Scanning for conjecture ...
% 2.05/1.85 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.05/1.88 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.05/1.88 % [INFO] Problem is propositional (TPTP CNF).
% 2.05/1.88 % [INFO] Type checking passed.
% 2.05/1.89 % [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 ...
% 3.15/2.30 % External prover 'e' found a proof!
% 3.15/2.30 % [INFO] Killing All external provers ...
% 3.15/2.30 % Time passed: 1591ms (effective reasoning time: 945ms)
% 3.15/2.31 % Axioms used in derivation (0):
% 3.15/2.31 % No. of inferences in proof: 9
% 3.15/2.31 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1591 ms resp. 945 ms w/o parsing
% 3.15/2.33 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.15/2.33 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------