%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO058^4 : TPTP v9.3.1. Released v4.0.0.
% 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 : n008.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 08:45:07 AM UTC 2026
% Result : Theorem 3.64s 2.15s
% Output : Refutation 3.64s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO058^4 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.10/0.21 % Computer : n008.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 16:26:39 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 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
% 0.99/0.80 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.18/1.03 % [INFO] Parsing done (226ms).
% 1.51/1.04 % [INFO] Running in sequential loop mode.
% 2.05/1.45 % [INFO] eprover registered as external prover.
% 2.05/1.46 % [INFO] Scanning for conjecture ...
% 2.26/1.59 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 2.47/1.62 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.47/1.63 % [INFO] Problem is higher-order (TPTP THF).
% 2.47/1.63 % [INFO] Type checking passed.
% 2.47/1.64 % [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 ...
% 3.64/2.15 % [INFO] Killing All external provers ...
% 3.64/2.15 % Time passed: 1791ms (effective reasoning time: 1101ms)
% 3.64/2.15 % 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)>
% 3.64/2.15 % Axioms used in derivation (1): axiom1
% 3.64/2.15 % No. of inferences in proof: 9
% 3.64/2.15 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1791 ms resp. 1101 ms w/o parsing
% 3.64/2.20 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.64/2.20 thf(iatom_decl, type, iatom: (($i > $o) > ($i > $o))).
% 3.64/2.20 thf(ivalid_decl, type, ivalid: (($i > $o) > $o)).
% 3.64/2.20 thf(a_decl, type, a: ($i > $o)).
% 3.64/2.20 thf(sk1_decl, type, sk1: $i).
% 3.64/2.20 thf(iatom_def, definition, iatom = (^ [A:($i > $o)]: (A)) ).
% 3.64/2.20 thf(ivalid_def, definition, ivalid = ((!) @ $i) ).
% 3.64/2.20 thf(sk1_def, definition, sk1 = (@+ [A:$i]: ~ (a @ A)) ).
% 3.64/2.20 thf(1,conjecture,((ivalid @ (iatom @ a))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 3.64/2.20 thf(2,negated_conjecture,((~ (ivalid @ (iatom @ a)))),inference(neg_conjecture,[status(cth)],[1])).
% 3.64/2.20 thf(6,plain,((~ (! [A:$i]: (a @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 3.64/2.20 thf(7,plain,((~ (a @ sk1))),inference(cnf,[status(esa)],[6])).
% 3.64/2.20 thf(5,axiom,((ivalid @ (iatom @ a))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom1)).
% 3.64/2.20 thf(12,plain,((! [A:$i]: (a @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])).
% 3.64/2.20 thf(13,plain,(! [A:$i] : ((a @ A))),inference(cnf,[status(esa)],[12])).
% 3.64/2.20 thf(14,plain,(~ (($true))),inference(rewrite,[status(thm)],[7,13])).
% 3.64/2.20 thf(15,plain,(($false)),inference(simp,[status(thm)],[14])).
% 3.64/2.20 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.64/2.20 % [INFO] Killing All external provers ...
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