%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO557^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 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 : n015.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 08:46:07 AM UTC 2026
% Result : Theorem 3.97s 2.11s
% Output : Refutation 4.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO557^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.07 % 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
% 0.11/0.19 % Computer : n015.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Tue Sep 29 17:18:17 UTC 2026
% 0.11/0.20 % CPUTime :
% 0.11/0.20 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
% 0.66/0.55 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.06/0.74 % [INFO] Parsing done (181ms).
% 1.06/0.75 % [INFO] Running in sequential loop mode.
% 1.78/1.15 % [INFO] eprover registered as external prover.
% 1.78/1.16 % [INFO] Scanning for conjecture ...
% 1.88/1.24 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 1.88/1.27 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.88/1.28 % [INFO] Problem is higher-order (TPTP THF).
% 1.88/1.28 % [INFO] Type checking passed.
% 1.88/1.29 % [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 ...
% 3.97/2.10 % [INFO] Killing All external provers ...
% 3.97/2.11 % Time passed: 1814ms (effective reasoning time: 1346ms)
% 3.97/2.11 % 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)>
% 3.97/2.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1814 ms resp. 1346 ms w/o parsing
% 4.00/2.16 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.00/2.16 thf(eps_decl, type, eps: (($i > $o) > $i)).
% 4.00/2.16 thf(sk1_decl, type, sk1: ($i > $o)).
% 4.00/2.16 thf(sk2_decl, type, sk2: $i).
% 4.00/2.16 thf(sk2_def, definition, sk2 = (@+ [A:$i]: (sk1 @ A)) ).
% 4.00/2.16 thf(1,conjecture,(((^ [A:($i > $o)]: (A @ (eps @ A))) = ((?) @ $i))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 4.00/2.16 thf(2,negated_conjecture,((~ ((^ [A:($i > $o)]: (A @ (eps @ A))) = ((?) @ $i)))),inference(neg_conjecture,[status(cth)],[1])).
% 4.00/2.16 thf(4,plain,((~ ((^ [A:($i > $o)]: (A @ (eps @ A))) = ((?) @ $i)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 4.00/2.16 thf(5,plain,(((^ [A:($i > $o)]: (A @ (eps @ A))) != ((?) @ $i))),inference(lifteq,[status(thm)],[4])).
% 4.00/2.16 thf(9,plain,(((sk1 @ (eps @ (sk1))) != (? [A:$i]: (sk1 @ A)))),inference(func_ext,[status(esa)],[5])).
% 4.00/2.16 thf(11,plain,((sk1 @ (eps @ (sk1))) | (? [A:$i]: (sk1 @ A))),inference(bool_ext,[status(thm)],[9])).
% 4.00/2.16 thf(15,plain,((sk1 @ (eps @ (sk1))) | (sk1 @ sk2)),inference(cnf,[status(esa)],[11])).
% 4.00/2.16 thf(10,plain,((~ (sk1 @ (eps @ (sk1)))) | (~ (? [A:$i]: (sk1 @ A)))),inference(bool_ext,[status(thm)],[9])).
% 4.00/2.16 thf(14,plain,(! [A:$i] : ((~ (sk1 @ (eps @ (sk1)))) | (~ (sk1 @ A)))),inference(cnf,[status(esa)],[10])).
% 4.00/2.16 thf(37,plain,(! [A:$i] : ((~ (sk1 @ (eps @ (sk1)))) | ((sk1 @ A) != (sk1 @ (eps @ (sk1)))) | ~ (($true)))),inference(eqfactor_ordered,[status(thm)],[14])).
% 4.00/2.16 thf(38,plain,((~ (sk1 @ (eps @ (sk1))))),inference(pattern_uni,[status(thm)],[37:[bind(A, $thf(eps @ (sk1)))]])).
% 4.00/2.16 thf(42,plain,(($false) | (sk1 @ sk2)),inference(rewrite,[status(thm)],[15,38])).
% 4.00/2.16 thf(43,plain,((sk1 @ sk2)),inference(simp,[status(thm)],[42])).
% 4.00/2.16 thf(12,axiom,((? [A:(($i > $o) > $i)]: ! [B:($i > $o)]: ((? [C:$i]: (B @ C)) => (B @ (A @ B))))),introduced(axiom_of_choice)).
% 4.00/2.16 thf(13,plain,(! [A:$i] : ((~ (sk1 @ A)) | (sk1 @ (eps @ (sk1))))),inference(choice,[status(esa)],[12])).
% 4.00/2.16 thf(55,plain,(! [A:$i] : ((~ (sk1 @ A)) | ($false))),inference(rewrite,[status(thm)],[13,38])).
% 4.00/2.16 thf(56,plain,(! [A:$i] : ((~ (sk1 @ A)))),inference(simp,[status(thm)],[55])).
% 4.00/2.16 thf(59,plain,(($false)),inference(rewrite,[status(thm)],[43,56])).
% 4.00/2.16 thf(60,plain,(($false)),inference(simp,[status(thm)],[59])).
% 4.00/2.16 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.00/2.16 % [INFO] Killing All external provers ...
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