%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO962_1 : TPTP v9.3.1. Released v9.1.0.
% 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 : n010.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 09:45:49 AM UTC 2026
% Result : Theorem 2.25s 6.31s
% Output : Refutation 2.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 5 unt; 0 typ; 1 def)
% Number of atoms : 16 ( 1 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 44 ( 13 ~; 0 |; 1 &; 26 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 0 ^; 5 !; 5 ?; 11 :)
% ( 0 !>; 0 ?*; 0 @-; 1 @+)
% Comments :
%------------------------------------------------------------------------------
thf('$world_type',type,
'$world': $tType ).
thf('$local_world_decl',type,
'$local_world': '$world' ).
thf(p_decl,type,
p: '$world' > $i > $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] : ( A @ ( '$local_world' @ p ) ) ) ) ).
thf(1,conjecture,
( ? [A: $i] : ( A @ ( '$local_world' @ p ) )
=> ~ ! [A: $i] :
~ ( A @ ( '$local_world' @ p ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quantifier_interdef3) ).
thf(2,negated_conjecture,
~ ( ? [A: $i] : ( A @ ( '$local_world' @ p ) )
=> ~ ! [A: $i] :
~ ( A @ ( '$local_world' @ p ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ? [A: $i] : ( A @ ( '$local_world' @ p ) )
=> ~ ! [A: $i] :
~ ( A @ ( '$local_world' @ p ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( ? [A: $i] : ( A @ ( '$local_world' @ p ) )
=> ~ ~ ? [A: $i] : ( A @ ( '$local_world' @ p ) ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(5,plain,
! [A: $i] :
( ~ ( A @ ( '$local_world' @ p ) )
& ( sk1 @ ( '$local_world' @ p ) ) ),
inference(cnf,[status(esa)],[4]) ).
thf(6,plain,
sk1 @ ( '$local_world' @ p ),
inference(cnfConj,[status(thm)],[5]) ).
thf(7,plain,
! [A: $i] :
~ ( A @ ( '$local_world' @ p ) ),
inference(cnfConj,[status(thm)],[5]) ).
thf(8,plain,
$false,
inference(rewrite,[status(thm)],[6,7]) ).
thf(9,plain,
$false,
inference(simp,[status(thm)],[8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO962_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.07 % 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
% 0.12/5.39 % Computer : n010.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Sat Sep 26 20:20:21 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 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
% 0.16/5.68 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.16/5.77 % [INFO] Parsing done (84ms).
% 0.16/5.78 % [INFO] Input problem is non-classical (logic $modal). Running HOL transformation from semantics specification contained in the problem file ...
% 0.16/5.79 %%% First-order logic specification detected, trying modal-logic-to-TXF embedding (redirected from embedding '$$modal' to embedding '$$fomlModel' version 1.3.7) ... Use flag -p FORCE_HIGHERORDER if you want to have THF output instead.
% 0.16/5.83 % [INFO] Running in sequential loop mode.
% 0.16/6.01 % [INFO] eprover registered as external prover.
% 0.16/6.01 % [INFO] Scanning for conjecture ...
% 1.46/6.05 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.46/6.06 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.46/6.07 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.46/6.07 % [INFO] Type checking passed.
% 1.46/6.07 % [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 ...
% 2.25/6.31 % [INFO] Killing All external provers ...
% 2.25/6.31 % Time passed: 827ms (effective reasoning time: 473ms)
% 2.25/6.31 % 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)>
% 2.25/6.31 % Axioms used in derivation (0):
% 2.25/6.31 % No. of inferences in proof: 9
% 2.25/6.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 827 ms resp. 473 ms w/o parsing
% 2.25/6.33 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.25/6.33 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------