%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL580^1 : TPTP v9.3.1. Released v3.6.0.
% 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 : n006.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 08:14:05 AM UTC 2026
% Result : Theorem 3.64s 2.30s
% Output : Refutation 3.89s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL580^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.10 % 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
% 0.10/0.26 % Computer : n006.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Tue Sep 29 08:55:39 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 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
% 1.37/1.03 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.88/1.38 % [INFO] Parsing done (343ms).
% 2.22/1.40 % [INFO] Running in sequential loop mode.
% 3.05/1.91 % [INFO] eprover registered as external prover.
% 3.05/1.92 % [INFO] Scanning for conjecture ...
% 3.38/2.07 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 3.38/2.11 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 3.38/2.12 % [INFO] Problem is higher-order (TPTP THF).
% 3.38/2.12 % [INFO] Type checking passed.
% 3.38/2.13 % [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 ...
% 3.64/2.29 % [INFO] Killing All external provers ...
% 3.64/2.29 % Time passed: 1801ms (effective reasoning time: 879ms)
% 3.64/2.29 % 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)>
% 3.64/2.30 % Axioms used in derivation (0):
% 3.64/2.30 % No. of inferences in proof: 4
% 3.64/2.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1801 ms resp. 879 ms w/o parsing
% 3.89/2.39 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.89/2.39 thf(individuals_type, type, individuals: $tType).
% 3.89/2.39 thf(mtrue_decl, type, mtrue: ($i > $o)).
% 3.89/2.39 thf(mbox_decl, type, mbox: (($i > ($i > $o)) > (($i > $o) > ($i > $o)))).
% 3.89/2.39 thf(mvalid_decl, type, mvalid: (($i > $o) > $o)).
% 3.89/2.39 thf(r_decl, type, r: ($i > ($i > $o))).
% 3.89/2.39 thf(mtrue_def, definition, mtrue = (^ [A:$i]: (($true))) ).
% 3.89/2.39 thf(mbox_def, definition, mbox = (^ [A:($i > ($i > $o)),B:($i > $o),C:$i]: ! [D:$i]: ((A @ C @ D) => (B @ D))) ).
% 3.89/2.39 thf(mvalid_def, definition, mvalid = ((!) @ $i) ).
% 3.89/2.39 thf(1,conjecture,((mvalid @ (mbox @ r @ mtrue))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)).
% 3.89/2.39 thf(2,negated_conjecture,((~ (mvalid @ (mbox @ r @ mtrue)))),inference(neg_conjecture,[status(cth)],[1])).
% 3.89/2.39 thf(3,plain,(~ (($true))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 3.89/2.39 thf(4,plain,(($false)),inference(simp,[status(thm)],[3])).
% 3.89/2.39 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.89/2.39 % [INFO] Killing All external provers ...
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