%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO119^5 : TPTP v9.3.1. Released v4.0.0.
% 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 : n011.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 08:45:15 AM UTC 2026
% Result : Theorem 2.47s 1.22s
% Output : Refutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 5 ~; 0 |; 1 &; 10 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 3 con; 0-1 aty)
% Number of variables : 5 ( 0 ^; 5 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_decl,type,
a: $i ).
thf(cP_decl,type,
cP: $i > $o ).
thf(1,conjecture,
( ! [A: $i] : ( cP @ A )
=> ( cP @ a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cEXX1) ).
thf(2,negated_conjecture,
~ ( ! [A: $i] : ( cP @ A )
=> ( cP @ a ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: $i] : ( cP @ A )
=> ( cP @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [A: $i] :
( ( cP @ A )
& ~ ( cP @ a ) ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
~ ( cP @ a ),
inference(cnfConj,[status(thm)],[4]) ).
thf(5,plain,
! [A: $i] : ( cP @ A ),
inference(cnfConj,[status(thm)],[4]) ).
thf(7,plain,
~ $true,
inference(rewrite,[status(thm)],[6,5]) ).
thf(8,plain,
$false,
inference(simp,[status(thm)],[7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO119^5 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.09/0.22 % Computer : n011.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Tue Sep 29 16:34:16 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 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
% 0.68/0.54 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.01/0.63 % [INFO] Parsing done (90ms).
% 1.01/0.64 % [INFO] Running in sequential loop mode.
% 1.33/0.83 % [INFO] eprover registered as external prover.
% 1.33/0.83 % [INFO] Scanning for conjecture ...
% 1.33/0.87 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.33/0.88 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.33/0.88 % [INFO] Problem is higher-order (TPTP THF).
% 1.33/0.89 % [INFO] Type checking passed.
% 1.33/0.89 % [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 ...
% 2.47/1.22 % [INFO] Killing All external provers ...
% 2.47/1.22 % Time passed: 899ms (effective reasoning time: 577ms)
% 2.47/1.22 % 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)>
% 2.47/1.22 % Axioms used in derivation (0):
% 2.47/1.22 % No. of inferences in proof: 8
% 2.47/1.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 899 ms resp. 577 ms w/o parsing
% 2.47/1.25 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.47/1.25 % [INFO] Killing All external provers ...
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