%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO135^5 : 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 : n013.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 08:45:17 AM UTC 2026
% Result : Theorem 2.44s 1.25s
% Output : Refutation 2.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 29 ( 2 ~; 6 |; 3 &; 15 @)
% ( 0 <=>; 3 =>; 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 : 6 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 3 ( 0 ^; 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(x_decl,type,
x: $i ).
thf(cQ_decl,type,
cQ: $i > $o ).
thf(b_decl,type,
b: $i ).
thf(cP_decl,type,
cP: $i > $o ).
thf(a_decl,type,
a: $i ).
thf(1,conjecture,
( ( ! [A: $i] : ( cP @ A )
| ( cQ @ x ) )
=> ( ( ( cP @ a )
& ( cP @ b ) )
| ( cQ @ x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDUP_BUG) ).
thf(2,negated_conjecture,
~ ( ( ! [A: $i] : ( cP @ A )
| ( cQ @ x ) )
=> ( ( ( cP @ a )
& ( cP @ b ) )
| ( cQ @ x ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: $i] : ( cP @ A )
| ( cQ @ x ) )
=> ( ( ( cP @ a )
& ( cP @ b ) )
| ( cQ @ x ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(11,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO135^5 : 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
% 0.11/0.22 % Computer : n013.cluster.edu
% 0.11/0.22 % Model : x86_64 x86_64
% 0.11/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.22 % Memory : 8046.5625MB
% 0.11/0.22 % OS : Linux 6.8.0-71-generic
% 0.11/0.22 % CPULimit : 300
% 0.11/0.22 % WCLimit : 300
% 0.11/0.22 % DateTime : Tue Sep 29 16:34:21 UTC 2026
% 0.11/0.22 % CPUTime :
% 0.11/0.22 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
% 0.64/0.54 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.84/0.63 % [INFO] Parsing done (92ms).
% 1.00/0.64 % [INFO] Running in sequential loop mode.
% 1.31/0.83 % [INFO] eprover registered as external prover.
% 1.31/0.84 % [INFO] Scanning for conjecture ...
% 1.31/0.88 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.56/0.90 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.56/0.90 % [INFO] Problem is higher-order (TPTP THF).
% 1.56/0.90 % [INFO] Type checking passed.
% 1.56/0.91 % [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 ...
% 2.44/1.25 % External prover 'e' found a proof!
% 2.44/1.25 % [INFO] Killing All external provers ...
% 2.44/1.25 % Time passed: 929ms (effective reasoning time: 608ms)
% 2.44/1.25 % 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)>
% 2.44/1.25 % Axioms used in derivation (0):
% 2.44/1.25 % No. of inferences in proof: 4
% 2.44/1.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 929 ms resp. 608 ms w/o parsing
% 2.44/1.28 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.44/1.28 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------