%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO930^1 : TPTP v9.3.1. Released v9.0.0.
% 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 08:46:15 AM UTC 2026
% Result : Theorem 3.57s 2.11s
% Output : Refutation 3.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO930^1 : TPTP v9.3.1. Released v9.0.0.
% 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
% 0.11/0.21 % Computer : n011.cluster.edu
% 0.11/0.21 % Model : x86_64 x86_64
% 0.11/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21 % Memory : 8046.5625MB
% 0.11/0.21 % OS : Linux 6.8.0-71-generic
% 0.11/0.21 % CPULimit : 300
% 0.11/0.21 % WCLimit : 300
% 0.11/0.21 % DateTime : Tue Sep 29 17:28:16 UTC 2026
% 0.11/0.21 % CPUTime :
% 0.11/0.21 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
% 1.07/0.80 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/0.98 % [INFO] Parsing done (175ms).
% 1.26/1.00 % [INFO] Input problem is non-classical (logic $modal). Running HOL transformation from semantics specification contained in the problem file ...
% 1.65/1.14 % [INFO] Running in sequential loop mode.
% 2.43/1.53 % [INFO] eprover registered as external prover.
% 2.43/1.53 % [INFO] Scanning for conjecture ...
% 2.60/1.63 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 2.60/1.66 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.60/1.66 % [INFO] Problem is higher-order (TPTP THF).
% 2.60/1.67 % [INFO] Type checking passed.
% 2.60/1.67 % [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 ...
% 3.57/2.10 % External prover 'e' found a proof!
% 3.57/2.10 % [INFO] Killing All external provers ...
% 3.57/2.10 % Time passed: 1749ms (effective reasoning time: 961ms)
% 3.57/2.10 % 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)>
% 3.57/2.10 % Axioms used in derivation (1): ax1
% 3.57/2.11 % No. of inferences in proof: 6
% 3.57/2.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1749 ms resp. 961 ms w/o parsing
% 3.82/2.15 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.82/2.15 thf(mworld_type, type, mworld: $tType).
% 3.82/2.15 thf(mrel_decl, type, mrel: (mworld > (mworld > $o))).
% 3.82/2.15 thf(mbox_decl, type, mbox: ((mworld > $o) > (mworld > $o))).
% 3.82/2.15 thf(mactual_decl, type, mactual: mworld).
% 3.82/2.15 thf(mlocal_decl, type, mlocal: ((mworld > $o) > $o)).
% 3.82/2.15 thf(mglobal_decl, type, mglobal: ((mworld > $o) > $o)).
% 3.82/2.15 thf(a_decl, type, a: (mworld > $o)).
% 3.82/2.15 thf(mbox_def, definition, mbox = (^ [A:(mworld > $o),B:mworld]: ! [C:mworld]: ((mrel @ B @ C) => (A @ C))) ).
% 3.82/2.15 thf(mlocal_def, definition, mlocal = (^ [A:(mworld > $o)]: (A @ mactual)) ).
% 3.82/2.15 thf(mglobal_def, definition, mglobal = ((!) @ mworld) ).
% 3.82/2.15 thf(1,conjecture,((mlocal @ (mbox @ a))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c)).
% 3.82/2.15 thf(2,negated_conjecture,((~ (mlocal @ (mbox @ a)))),inference(neg_conjecture,[status(cth)],[1])).
% 3.82/2.15 thf(4,plain,((~ (! [A:mworld]: ((mrel @ mactual @ A) => (a @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 3.82/2.15 thf(3,axiom,((mglobal @ a)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)).
% 3.82/2.15 thf(8,plain,((! [A:mworld]: (a @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])).
% 3.82/2.15 thf(10,plain,(($false)),inference(e,[status(thm)],[4,8])).
% 3.82/2.15 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.82/2.15 % [INFO] Killing All external provers ...
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