%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV073^7 : 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 24.04s 6.42s
% Output : Refutation 24.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV073^7 : 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
% 0.11/0.21 % Computer : n007.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 15:57:56 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
% 0.89/0.61 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.96/0.99 % [INFO] Parsing done (384ms).
% 1.96/1.00 % [INFO] Running in sequential loop mode.
% 3.57/1.32 % [INFO] eprover registered as external prover.
% 3.57/1.33 % [INFO] Scanning for conjecture ...
% 4.32/1.56 % [INFO] Found a conjecture (or negated_conjecture) and 175 axioms. Running axiom selection ...
% 5.19/1.71 % [INFO] Axiom selection finished. Selected 175 axioms (removed 0 axioms).
% 6.08/1.90 % [INFO] Problem is higher-order (TPTP THF).
% 6.08/1.92 % [INFO] Type checking passed.
% 6.08/1.93 % [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 ...
% 24.04/6.42 % [INFO] Killing All external provers ...
% 24.04/6.42 % Time passed: 6099ms (effective reasoning time: 5408ms)
% 24.04/6.42 % 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)>
% 24.04/6.42 % Axioms used in derivation (0):
% 24.04/6.42 % No. of inferences in proof: 4
% 24.04/6.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 6099 ms resp. 5408 ms w/o parsing
% 24.04/6.49 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.04/6.49 thf(mu_type, type, mu: $tType).
% 24.04/6.49 thf(mnot_decl, type, mnot: (($i > $o) > ($i > $o))).
% 24.04/6.49 thf(mor_decl, type, mor: (($i > $o) > (($i > $o) > ($i > $o)))).
% 24.04/6.49 thf(mand_decl, type, mand: (($i > $o) > (($i > $o) > ($i > $o)))).
% 24.04/6.49 thf(mimplies_decl, type, mimplies: (($i > $o) > (($i > $o) > ($i > $o)))).
% 24.04/6.49 thf(mvalid_decl, type, mvalid: (($i > $o) > $o)).
% 24.04/6.49 thf(rel_s4_decl, type, rel_s4: ($i > ($i > $o))).
% 24.04/6.49 thf(mbox_s4_decl, type, mbox_s4: (($i > $o) > ($i > $o))).
% 24.04/6.49 thf(leq_decl, type, leq: (mu > (mu > ($i > $o)))).
% 24.04/6.49 thf(minus_decl, type, minus: (mu > (mu > mu))).
% 24.04/6.49 thf(pv35_decl, type, pv35: mu).
% 24.04/6.49 thf(pv31_decl, type, pv31: mu).
% 24.04/6.49 thf(n135300_decl, type, n135300: mu).
% 24.04/6.49 thf(n5_decl, type, n5: mu).
% 24.04/6.49 thf(n1_decl, type, n1: mu).
% 24.04/6.49 thf(n0_decl, type, n0: mu).
% 24.04/6.49 thf(mnot_def, definition, mnot = (^ [A:($i > $o),B:$i]: ~ (A @ B)) ).
% 24.04/6.49 thf(mor_def, definition, mor = (^ [A:($i > $o),B:($i > $o),C:$i]: ((A @ C) | (B @ C))) ).
% 24.04/6.49 thf(mand_def, definition, mand = (^ [A:($i > $o),B:($i > $o)]: (mnot @ (mor @ (mnot @ A) @ (mnot @ B)))) ).
% 24.04/6.49 thf(mimplies_def, definition, mimplies = (^ [A:($i > $o)]: (mor @ (mnot @ A))) ).
% 24.04/6.49 thf(mvalid_def, definition, mvalid = ((!) @ $i) ).
% 24.04/6.49 thf(mbox_s4_def, definition, mbox_s4 = (^ [A:($i > $o),B:$i]: ! [C:$i]: (~ (rel_s4 @ B @ C) | (A @ C))) ).
% 24.04/6.49 thf(1,conjecture,((mvalid @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0014)).
% 24.04/6.49 thf(2,negated_conjecture,((~ (mvalid @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1)))))) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv31)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv35)) @ (mand @ (mbox_s4 @ (leq @ pv31 @ (minus @ n5 @ n1))) @ (mbox_s4 @ (leq @ pv35 @ (minus @ n135300 @ n1))))))))))),inference(neg_conjecture,[status(cth)],[1])).
% 24.04/6.49 thf(178,plain,(~ (($true))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 24.04/6.49 thf(179,plain,(($false)),inference(simp,[status(thm)],[178])).
% 24.04/6.49 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.04/6.49 % [INFO] Killing All external provers ...
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