%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO033^1 : TPTP v9.3.1. Released v3.7.0.
% 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 : n017.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 08:45:03 AM UTC 2026
% Result : Theorem 3.59s 2.17s
% Output : Refutation 3.72s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYO033^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.09 % 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
% 0.10/0.22 % Computer : n017.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 16:18:45 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.23 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
% 1.03/0.81 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.23/1.00 % [INFO] Parsing done (181ms).
% 1.23/1.01 % [INFO] Running in sequential loop mode.
% 2.01/1.42 % [INFO] eprover registered as external prover.
% 2.01/1.43 % [INFO] Scanning for conjecture ...
% 2.20/1.51 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.20/1.54 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.20/1.54 % [INFO] Problem is higher-order (TPTP THF).
% 2.20/1.55 % [INFO] Type checking passed.
% 2.20/1.55 % [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 ...
% 3.59/2.17 % [INFO] Killing All external provers ...
% 3.59/2.17 % Time passed: 1798ms (effective reasoning time: 1151ms)
% 3.59/2.17 % 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)>
% 3.59/2.17 % Axioms used in derivation (0):
% 3.59/2.17 % No. of inferences in proof: 6
% 3.59/2.17 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1798 ms resp. 1151 ms w/o parsing
% 3.72/2.22 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.72/2.22 thf(sk1_decl, type, sk1: ((($i > $o) > $o) > ($i > $o))).
% 3.72/2.22 thf(sk1_def, definition, sk1 = (^ [A:(($i > $o) > $o)]: (@+ [B:($i > $o)]: ~ ((A @ B) = (! [C:$i]: (B @ C))))) ).
% 3.72/2.22 thf(1,conjecture,((? [A:(($i > $o) > $o)]: ! [B:($i > $o)]: ((A @ B) = (! [C:$i]: (B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 3.72/2.22 thf(2,negated_conjecture,((~ (? [A:(($i > $o) > $o)]: ! [B:($i > $o)]: ((A @ B) = (! [C:$i]: (B @ C)))))),inference(neg_conjecture,[status(cth)],[1])).
% 3.72/2.22 thf(3,plain,((~ (? [A:(($i > $o) > $o)]: ! [B:($i > $o)]: ((A @ (B)) = (! [C:$i]: (B @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 3.72/2.22 thf(4,plain,(! [A:(($i > $o) > $o)] : ((~ ((A @ (sk1 @ (A))) = (! [B:$i]: (sk1 @ (A) @ B)))))),inference(cnf,[status(esa)],[3])).
% 3.72/2.22 thf(5,plain,(! [A:(($i > $o) > $o)] : (((A @ (sk1 @ (A))) != (! [B:$i]: (sk1 @ (A) @ B))))),inference(lifteq,[status(thm)],[4])).
% 3.72/2.22 thf(6,plain,(($false)),inference(pre_uni,[status(thm)],[5:[bind(A, $thf((!) @ $i))]])).
% 3.72/2.22 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.72/2.22 % [INFO] Killing All external provers ...
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