%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL719^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 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 : n015.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 08:14:12 AM UTC 2026
% Result : Theorem 3.92s 2.28s
% Output : Refutation 4.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL719^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 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
% 0.12/0.23 % Computer : n015.cluster.edu
% 0.12/0.23 % Model : x86_64 x86_64
% 0.12/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.23 % Memory : 8046.5625MB
% 0.12/0.23 % OS : Linux 6.8.0-71-generic
% 0.12/0.23 % CPULimit : 300
% 0.12/0.23 % WCLimit : 300
% 0.12/0.23 % DateTime : Tue Sep 29 09:57:47 UTC 2026
% 0.12/0.23 % CPUTime :
% 0.12/0.23 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
% 1.01/0.72 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.72/1.12 % [INFO] Parsing done (385ms).
% 2.04/1.14 % [INFO] Running in sequential loop mode.
% 2.75/1.62 % [INFO] eprover registered as external prover.
% 2.75/1.63 % [INFO] Scanning for conjecture ...
% 2.94/1.80 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 3.15/1.82 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 3.15/1.83 % [INFO] Problem is higher-order (TPTP THF).
% 3.15/1.83 % [INFO] Type checking passed.
% 3.15/1.83 % [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 ...
% 3.92/2.28 % External prover 'e' found a proof!
% 3.92/2.28 % [INFO] Killing All external provers ...
% 3.92/2.28 % Time passed: 1904ms (effective reasoning time: 1133ms)
% 3.92/2.28 % 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)>
% 3.92/2.28 % Axioms used in derivation (0):
% 3.92/2.28 % No. of inferences in proof: 4
% 3.92/2.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1904 ms resp. 1133 ms w/o parsing
% 4.18/2.32 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.18/2.32 thf(mu_type, type, mu: $tType).
% 4.18/2.32 thf(mvalid_decl, type, mvalid: (($i > $o) > $o)).
% 4.18/2.32 thf(rel_k_decl, type, rel_k: ($i > ($i > $o))).
% 4.18/2.32 thf(mbox_k_decl, type, mbox_k: (($i > $o) > ($i > $o))).
% 4.18/2.32 thf(phi_decl, type, phi: ($i > $o)).
% 4.18/2.32 thf(mvalid_def, definition, mvalid = ((!) @ $i) ).
% 4.18/2.32 thf(mbox_k_def, definition, mbox_k = (^ [A:($i > $o),B:$i]: ! [C:$i]: (~ (rel_k @ B @ C) | (A @ C))) ).
% 4.18/2.32 thf(1,conjecture,(((mvalid @ phi) => (mvalid @ (mbox_k @ phi)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 4.18/2.32 thf(2,negated_conjecture,((~ ((mvalid @ phi) => (mvalid @ (mbox_k @ phi))))),inference(neg_conjecture,[status(cth)],[1])).
% 4.18/2.32 thf(3,plain,((~ ((! [A:$i]: (phi @ A)) => (! [A:$i,B:$i]: (~ (rel_k @ A @ B) | (phi @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 4.18/2.32 thf(8,plain,(($false)),inference(e,[status(thm)],[3])).
% 4.18/2.32 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.18/2.32 % [INFO] Killing All external provers ...
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