%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV085^7 : TPTP v9.3.1. Released v5.5.0.
% 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 : n007.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 08:39:50 AM UTC 2026
% Result : Theorem 27.18s 10.25s
% Output : Refutation 27.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV085^7 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.07 % 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
% 0.10/0.21 % Computer : n007.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
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 15:58:10 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 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
% 0.98/0.80 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.23/1.20 % [INFO] Parsing done (396ms).
% 2.23/1.22 % [INFO] Running in sequential loop mode.
% 3.50/1.75 % [INFO] eprover registered as external prover.
% 3.50/1.76 % [INFO] Scanning for conjecture ...
% 4.31/2.10 % [INFO] Found a conjecture (or negated_conjecture) and 166 axioms. Running axiom selection ...
% 4.80/2.26 % [INFO] Axiom selection finished. Selected 166 axioms (removed 0 axioms).
% 5.59/2.46 % [INFO] Problem is higher-order (TPTP THF).
% 5.59/2.48 % [INFO] Type checking passed.
% 5.59/2.49 % [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 ...
% 27.18/10.25 % [INFO] Killing All external provers ...
% 27.18/10.25 % Time passed: 9889ms (effective reasoning time: 9015ms)
% 27.18/10.25 % 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)>
% 27.18/10.25 % Axioms used in derivation (0):
% 27.18/10.25 % No. of inferences in proof: 4
% 27.18/10.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 9889 ms resp. 9015 ms w/o parsing
% 27.38/10.31 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.38/10.31 thf(mu_type, type, mu: $tType).
% 27.38/10.31 thf(mnot_decl, type, mnot: (($i > $o) > ($i > $o))).
% 27.38/10.31 thf(mor_decl, type, mor: (($i > $o) > (($i > $o) > ($i > $o)))).
% 27.38/10.31 thf(mand_decl, type, mand: (($i > $o) > (($i > $o) > ($i > $o)))).
% 27.38/10.31 thf(mimplies_decl, type, mimplies: (($i > $o) > (($i > $o) > ($i > $o)))).
% 27.38/10.31 thf(mvalid_decl, type, mvalid: (($i > $o) > $o)).
% 27.38/10.31 thf(rel_s4_decl, type, rel_s4: ($i > ($i > $o))).
% 27.38/10.31 thf(mbox_s4_decl, type, mbox_s4: (($i > $o) > ($i > $o))).
% 27.38/10.31 thf(leq_decl, type, leq: (mu > (mu > ($i > $o)))).
% 27.38/10.31 thf(minus_decl, type, minus: (mu > (mu > mu))).
% 27.38/10.31 thf(pv68_decl, type, pv68: mu).
% 27.38/10.31 thf(n5_decl, type, n5: mu).
% 27.38/10.31 thf(n1_decl, type, n1: mu).
% 27.38/10.31 thf(n0_decl, type, n0: mu).
% 27.38/10.31 thf(mnot_def, definition, mnot = (^ [A:($i > $o),B:$i]: ~ (A @ B)) ).
% 27.38/10.31 thf(mor_def, definition, mor = (^ [A:($i > $o),B:($i > $o),C:$i]: ((A @ C) | (B @ C))) ).
% 27.38/10.31 thf(mand_def, definition, mand = (^ [A:($i > $o),B:($i > $o)]: (mnot @ (mor @ (mnot @ A) @ (mnot @ B)))) ).
% 27.38/10.31 thf(mimplies_def, definition, mimplies = (^ [A:($i > $o)]: (mor @ (mnot @ A))) ).
% 27.38/10.31 thf(mvalid_def, definition, mvalid = ((!) @ $i) ).
% 27.38/10.31 thf(mbox_s4_def, definition, mbox_s4 = (^ [A:($i > $o),B:$i]: ! [C:$i]: (~ (rel_s4 @ B @ C) | (A @ C))) ).
% 27.38/10.31 thf(1,conjecture,((mvalid @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ pv68)) @ (mbox_s4 @ (leq @ pv68 @ (minus @ n5 @ n1)))) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv68)) @ (mbox_s4 @ (leq @ pv68 @ (minus @ n5 @ n1)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0026)).
% 27.38/10.31 thf(2,negated_conjecture,((~ (mvalid @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ pv68)) @ (mbox_s4 @ (leq @ pv68 @ (minus @ n5 @ n1)))) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv68)) @ (mbox_s4 @ (leq @ pv68 @ (minus @ n5 @ n1))))))))),inference(neg_conjecture,[status(cth)],[1])).
% 27.38/10.31 thf(169,plain,(~ (($true))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 27.38/10.31 thf(170,plain,(($false)),inference(simp,[status(thm)],[169])).
% 27.38/10.31 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.38/10.31 % [INFO] Killing All external provers ...
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