%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO365^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% 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 : n018.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 : Wed Sep 30 08:45:39 AM UTC 2026
% Result : Theorem 2.63s 1.75s
% Output : Refutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 4 unt; 0 typ; 2 def)
% Number of atoms : 16 ( 4 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 10 ( 4 ~; 0 |; 0 &; 2 @)
% ( 0 <=>; 4 =>; 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 : 7 ( 4 usr; 5 con; 0-2 aty)
% Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
thf(cA_decl,type,
cA: $o ).
thf(cC_decl,type,
cC: $o > $o ).
thf(cEXT2_decl,type,
cEXT2: $o ).
thf(cEXT_eq_0_decl,type,
cEXT_eq_0: $o ).
thf(cEXT2_def,definition,
( cEXT2
= ( ( cC @ cA )
=> ( cC
@ ~ ~ cA ) ) ) ).
thf(cEXT_eq_0_def,definition,
( cEXT_eq_0
= ( ! [A: $o,B: $o] :
( ( A = B )
=> ( A = B ) ) ) ) ).
thf(1,conjecture,
( cEXT_eq_0
=> cEXT2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cEXT2A) ).
thf(2,negated_conjecture,
~ ( cEXT_eq_0
=> cEXT2 ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
$false,
inference(simp,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO365^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% 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
% 0.10/0.23 % Computer : n018.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Tue Sep 29 16:51:26 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 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
% 1.06/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.51/1.04 % [INFO] Parsing done (186ms).
% 1.51/1.06 % [INFO] Running in sequential loop mode.
% 2.08/1.47 % [INFO] eprover registered as external prover.
% 2.08/1.48 % [INFO] Scanning for conjecture ...
% 2.29/1.57 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.29/1.59 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.29/1.59 % [INFO] Problem is higher-order (TPTP THF).
% 2.29/1.60 % [INFO] Type checking passed.
% 2.45/1.60 % [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 ...
% 2.63/1.74 % [INFO] Killing All external provers ...
% 2.63/1.75 % Time passed: 1369ms (effective reasoning time: 683ms)
% 2.63/1.75 % Solved by 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)>
% 2.63/1.75 % Axioms used in derivation (0):
% 2.63/1.75 % No. of inferences in proof: 4
% 2.63/1.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1369 ms resp. 683 ms w/o parsing
% 2.85/1.80 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.85/1.80 % [INFO] Killing All external provers ...
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