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Leo-III---1.8.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SWV442^1 : TPTP v9.3.1. Released v3.7.0.
% 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 : n019.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 08:39:53 AM UTC 2026

% Result   : Theorem 3.57s 2.10s
% Output   : Refutation 3.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV442^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.08  % 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
% 0.10/0.21  % Computer : n019.cluster.edu
% 0.10/0.21  % Model    : x86_64 x86_64
% 0.10/0.21  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21  % Memory   : 8046.5625MB
% 0.10/0.21  % OS       : Linux 6.8.0-71-generic
% 0.10/0.22  % CPULimit : 300
% 0.10/0.22  % WCLimit  : 300
% 0.10/0.22  % DateTime : Tue Sep 29 16:04:17 UTC 2026
% 0.10/0.22  % CPUTime  : 
% 0.10/0.22  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
% 0.89/0.79  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.55/1.08  % [INFO] 	 Parsing done (287ms). 
% 1.55/1.10  % [INFO] 	 Running in sequential loop mode. 
% 2.24/1.49  % [INFO] 	 eprover registered as external prover. 
% 2.44/1.50  % [INFO] 	 Scanning for conjecture ... 
% 2.65/1.66  % [INFO] 	 Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ... 
% 2.65/1.69  % [INFO] 	 Axiom selection finished. Selected 6 axioms (removed 0 axioms). 
% 2.84/1.70  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.84/1.70  % [INFO] 	 Type checking passed. 
% 2.84/1.71  % [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  % [INFO] 	 Killing All external provers ... 
% 3.57/2.10  % Time passed: 1737ms (effective reasoning time: 995ms)
% 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 (0): 
% 3.57/2.10  % No. of inferences in proof: 4
% 3.57/2.10  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1737 ms resp. 995 ms w/o parsing
% 3.81/2.16  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.81/2.16  thf(individuals_type, type, individuals: $tType).
% 3.81/2.16  thf(mnot_decl, type, mnot: (($i > $o) > ($i > $o))).
% 3.81/2.16  thf(mor_decl, type, mor: (($i > $o) > (($i > $o) > ($i > $o)))).
% 3.81/2.16  thf(mimpl_decl, type, mimpl: (($i > $o) > (($i > $o) > ($i > $o)))).
% 3.81/2.16  thf(mbox_decl, type, mbox: (($i > ($i > $o)) > (($i > $o) > ($i > $o)))).
% 3.81/2.16  thf(mvalid_decl, type, mvalid: (($i > $o) > $o)).
% 3.81/2.16  thf(reli_decl, type, reli: ($i > ($i > $o))).
% 3.81/2.16  thf(cs4_atom_decl, type, cs4_atom: (($i > $o) > ($i > $o))).
% 3.81/2.16  thf(cs4_impl_decl, type, cs4_impl: (($i > $o) > (($i > $o) > ($i > $o)))).
% 3.81/2.16  thf(bl_atom_decl, type, bl_atom: (($i > $o) > ($i > $o))).
% 3.81/2.16  thf(bl_impl_decl, type, bl_impl: (($i > $o) > (($i > $o) > ($i > $o)))).
% 3.81/2.16  thf(bl_valid_decl, type, bl_valid: (($i > $o) > $o)).
% 3.81/2.16  thf(mnot_def, definition, mnot = (^ [A:($i > $o),B:$i]: ~ (A @ B)) ).
% 3.81/2.16  thf(mor_def, definition, mor = (^ [A:($i > $o),B:($i > $o),C:$i]: ((A @ C) | (B @ C))) ).
% 3.81/2.16  thf(mimpl_def, definition, mimpl = (^ [A:($i > $o)]: (mor @ (mnot @ A))) ).
% 3.81/2.16  thf(mbox_def, definition, mbox = (^ [A:($i > ($i > $o)),B:($i > $o),C:$i]: ! [D:$i]: ((A @ C @ D) => (B @ D))) ).
% 3.81/2.16  thf(mvalid_def, definition, mvalid = ((!) @ $i) ).
% 3.81/2.16  thf(cs4_atom_def, definition, cs4_atom = (mbox @ reli) ).
% 3.81/2.16  thf(cs4_impl_def, definition, cs4_impl = (^ [A:($i > $o),B:($i > $o)]: (mbox @ reli @ (mimpl @ A @ B))) ).
% 3.81/2.16  thf(bl_atom_def, definition, bl_atom = (cs4_atom) ).
% 3.81/2.16  thf(bl_impl_def, definition, bl_impl = (cs4_impl) ).
% 3.81/2.16  thf(bl_valid_def, definition, bl_valid = (mvalid) ).
% 3.81/2.16  thf(1,conjecture,((! [A:($i > $o)]: (bl_valid @ (bl_impl @ (bl_atom @ A) @ (bl_atom @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_id)).
% 3.81/2.16  thf(2,negated_conjecture,((~ (! [A:($i > $o)]: (bl_valid @ (bl_impl @ (bl_atom @ A) @ (bl_atom @ A)))))),inference(neg_conjecture,[status(cth)],[1])).
% 3.81/2.16  thf(9,plain,(~ (($true))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 3.81/2.16  thf(10,plain,(($false)),inference(simp,[status(thm)],[9])).
% 3.81/2.16  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.81/2.16  % [INFO] 	 Killing All external provers ... 
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