%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO896_7 : TPTP v9.3.1. Released v8.2.0.
% 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 : 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 : Sun Sep 27 09:45:39 AM UTC 2026
% Result : Theorem 2.92s 2.36s
% Output : Refutation 2.92s
% 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 : 25 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 6 avg)
% Number of connectives : 62 ( 8 ~; 0 |; 6 &; 33 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 0 ^; 6 !; 3 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf('$ki_world_type',type,
'$ki_world': $tType ).
thf('$ki_local_world_decl',type,
'$ki_local_world': '$ki_world' ).
thf('$ki_accessible_decl',type,
'$ki_accessible': '$ki_world' > '$ki_world' > $o ).
thf(p_decl,type,
p: '$ki_world' > $o ).
thf(q_decl,type,
q: '$ki_world' > $o ).
thf(1,conjecture,
( ( ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ '$ki_accessible' ) )
=> ( ( A @ p )
=> ~ ( A @ q ) ) )
& ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ '$ki_accessible' ) )
=> ( ( A @ p )
=> ( A @ q ) ) ) )
=> ~ ? [A: '$ki_world'] :
( ( A @ p )
& ( A @ ( '$ki_local_world' @ '$ki_accessible' ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
thf(2,negated_conjecture,
~ ( ( ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ '$ki_accessible' ) )
=> ( ( A @ p )
=> ~ ( A @ q ) ) )
& ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ '$ki_accessible' ) )
=> ( ( A @ p )
=> ( A @ q ) ) ) )
=> ~ ? [A: '$ki_world'] :
( ( A @ p )
& ( A @ ( '$ki_local_world' @ '$ki_accessible' ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ '$ki_accessible' ) )
=> ( ( A @ p )
=> ~ ( A @ q ) ) )
& ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ '$ki_accessible' ) )
=> ( ( A @ p )
=> ( A @ q ) ) ) )
=> ~ ? [A: '$ki_world'] :
( ( A @ p )
& ( A @ ( '$ki_local_world' @ '$ki_accessible' ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO896_7 : TPTP v9.3.1. Released v8.2.0.
% 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
% 0.14/0.55 % Computer : n011.cluster.edu
% 0.14/0.55 % Model : x86_64 x86_64
% 0.14/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.55 % Memory : 8046.5625MB
% 0.14/0.55 % OS : Linux 6.8.0-71-generic
% 0.14/0.55 % CPULimit : 300
% 0.14/0.55 % WCLimit : 300
% 0.14/0.55 % DateTime : Sat Sep 26 20:15:14 UTC 2026
% 0.14/0.55 % CPUTime :
% 0.14/0.55 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
% 0.85/1.12 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/1.32 % [INFO] Parsing done (188ms).
% 1.26/1.33 % [INFO] Running in sequential loop mode.
% 1.83/1.72 % [INFO] eprover registered as external prover.
% 1.83/1.73 % [INFO] Scanning for conjecture ...
% 2.00/1.83 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.00/1.87 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.00/1.87 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.00/1.88 % [INFO] Type checking passed.
% 2.00/1.89 % [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 ...
% 2.92/2.36 % External prover 'e' found a proof!
% 2.92/2.36 % [INFO] Killing All external provers ...
% 2.92/2.36 % Time passed: 1666ms (effective reasoning time: 1023ms)
% 2.92/2.36 % 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)>
% 2.92/2.36 % Axioms used in derivation (0):
% 2.92/2.36 % No. of inferences in proof: 4
% 2.92/2.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1666 ms resp. 1023 ms w/o parsing
% 2.92/2.40 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.92/2.40 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------