%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO932^10 : TPTP v9.3.1. Bugfixed v5.0.0.
% 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 : n001.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 08:46:15 AM UTC 2026
% Result : Theorem 3.89s 2.16s
% Output : Refutation 4.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO932^10 : TPTP v9.3.1. Bugfixed v5.0.0.
% 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
% 0.10/0.22 % Computer : n001.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % 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 17:34:21 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
% 1.02/0.82 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.50/1.07 % [INFO] Parsing done (254ms).
% 1.50/1.09 % [INFO] Running in sequential loop mode.
% 2.28/1.49 % [INFO] eprover registered as external prover.
% 2.49/1.50 % [INFO] Scanning for conjecture ...
% 2.71/1.67 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.94/1.70 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.94/1.70 % [INFO] Problem is higher-order (TPTP THF).
% 2.94/1.71 % [INFO] Type checking passed.
% 2.94/1.71 % [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 ...
% 3.89/2.16 % External prover 'e' found a proof!
% 3.89/2.16 % [INFO] Killing All external provers ...
% 3.89/2.16 % Time passed: 1795ms (effective reasoning time: 1066ms)
% 3.89/2.16 % 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)>
% 3.89/2.16 % Axioms used in derivation (0):
% 3.89/2.16 % No. of inferences in proof: 4
% 3.89/2.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1795 ms resp. 1066 ms w/o parsing
% 4.11/2.21 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.11/2.21 thf(mu_type, type, mu: $tType).
% 4.11/2.21 thf(mnot_decl, type, mnot: (($i > $o) > ($i > $o))).
% 4.11/2.21 thf(mor_decl, type, mor: (($i > $o) > (($i > $o) > ($i > $o)))).
% 4.11/2.21 thf(mimplies_decl, type, mimplies: (($i > $o) > (($i > $o) > ($i > $o)))).
% 4.11/2.21 thf(mforall_ind_decl, type, mforall_ind: ((mu > ($i > $o)) > ($i > $o))).
% 4.11/2.21 thf(mbox_decl, type, mbox: (($i > ($i > $o)) > (($i > $o) > ($i > $o)))).
% 4.11/2.21 thf(mvalid_decl, type, mvalid: (($i > $o) > $o)).
% 4.11/2.21 thf(r_decl, type, r: ($i > ($i > $o))).
% 4.11/2.21 thf(p_decl, type, p: (mu > ($i > $o))).
% 4.11/2.21 thf(mnot_def, definition, mnot = (^ [A:($i > $o),B:$i]: ~ (A @ B)) ).
% 4.11/2.21 thf(mor_def, definition, mor = (^ [A:($i > $o),B:($i > $o),C:$i]: ((A @ C) | (B @ C))) ).
% 4.11/2.21 thf(mimplies_def, definition, mimplies = (^ [A:($i > $o)]: (mor @ (mnot @ A))) ).
% 4.11/2.21 thf(mforall_ind_def, definition, mforall_ind = (^ [A:(mu > ($i > $o)),B:$i]: ! [C:mu]: (A @ C @ B)) ).
% 4.11/2.21 thf(mbox_def, definition, mbox = (^ [A:($i > ($i > $o)),B:($i > $o),C:$i]: ! [D:$i]: (~ (A @ C @ D) | (B @ D))) ).
% 4.11/2.21 thf(mvalid_def, definition, mvalid = ((!) @ $i) ).
% 4.11/2.21 thf(1,conjecture,((mvalid @ (mimplies @ (mbox @ r @ (mforall_ind @ (p))) @ (mforall_ind @ (^ [A:mu]: (mbox @ r @ (p @ A))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',ex2b)).
% 4.11/2.21 thf(2,negated_conjecture,((~ (mvalid @ (mimplies @ (mbox @ r @ (mforall_ind @ (p))) @ (mforall_ind @ (^ [A:mu]: (mbox @ r @ (p @ A)))))))),inference(neg_conjecture,[status(cth)],[1])).
% 4.11/2.21 thf(3,plain,((~ (! [A:$i]: (~ (! [B:$i]: (~ (r @ A @ B) | ! [C:mu]: (p @ C @ B))) | ! [B:mu,C:$i]: (~ (r @ A @ C) | (p @ B @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 4.11/2.21 thf(8,plain,(($false)),inference(e,[status(thm)],[3])).
% 4.11/2.21 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.11/2.21 % [INFO] Killing All external provers ...
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