%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN184-1 : TPTP v9.3.1. Released v1.1.0.
% 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 : n001.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 09:16:57 AM UTC 2026
% Result : Unsatisfiable 11.18s 4.03s
% Output : Refutation 11.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 7 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 3 ~; 0 |; 0 &; 5 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 2 con; 0-1 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(r0_decl,type,
r0: $i > $o ).
thf(b_decl,type,
b: $i ).
thf(269,axiom,
b @ r0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
thf(884,plain,
b @ r0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[269]) ).
thf(1,negated_conjecture,
~ ( b @ r0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
~ ( b @ r0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(371,plain,
~ ( b @ r0 ),
inference(polarity_switch,[status(thm)],[370]) ).
thf(1068,plain,
$false,
inference(rewrite,[status(thm)],[884,371]) ).
thf(1069,plain,
$false,
inference(simp,[status(thm)],[1068]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN184-1 : TPTP v9.3.1. Released v1.1.0.
% 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
% 0.14/0.40 % Computer : n001.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 17:24:58 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 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
% 0.84/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.47/1.29 % [INFO] Parsing done (308ms).
% 1.94/1.30 % [INFO] Running in sequential loop mode.
% 2.72/1.69 % [INFO] eprover registered as external prover.
% 2.72/1.69 % [INFO] Scanning for conjecture ...
% 3.12/1.83 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 3.35/1.97 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 4.10/2.15 % [INFO] Problem is propositional (TPTP CNF).
% 4.10/2.16 % [INFO] Type checking passed.
% 4.10/2.16 % [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 ...
% 11.18/4.02 % [INFO] Killing All external provers ...
% 11.18/4.02 % Time passed: 3474ms (effective reasoning time: 2714ms)
% 11.18/4.02 % Axioms used in derivation (1): axiom_9
% 11.18/4.02 % No. of inferences in proof: 7
% 11.18/4.03 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 3474 ms resp. 2714 ms w/o parsing
% 11.80/4.05 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.80/4.05 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------