%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL609^1 : TPTP v9.3.1. Released v3.6.0.
% 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 : n010.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 08:14:07 AM UTC 2026
% Result : Theorem 3.27s 2.09s
% Output : Refutation 3.47s
% 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 : LCL609^1 : TPTP v9.3.1. Released v3.6.0.
% 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
% 0.08/0.19 % Computer : n010.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 09:20:48 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 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
% 0.86/0.78 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.17/1.01 % [INFO] Parsing done (227ms).
% 1.17/1.02 % [INFO] Running in sequential loop mode.
% 2.05/1.42 % [INFO] eprover registered as external prover.
% 2.05/1.43 % [INFO] Scanning for conjecture ...
% 2.24/1.54 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.24/1.57 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.24/1.57 % [INFO] Problem is higher-order (TPTP THF).
% 2.24/1.58 % [INFO] Type checking passed.
% 2.24/1.58 % [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 ...
% 3.27/2.08 % [INFO] Killing All external provers ...
% 3.27/2.09 % Time passed: 1735ms (effective reasoning time: 1057ms)
% 3.27/2.09 % 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)>
% 3.27/2.09 % Axioms used in derivation (0):
% 3.27/2.09 % No. of inferences in proof: 8
% 3.27/2.09 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1735 ms resp. 1057 ms w/o parsing
% 3.47/2.14 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.47/2.14 thf(individuals_type, type, individuals: $tType).
% 3.47/2.14 thf(mall_decl, type, mall: ((individuals > ($i > $o)) > ($i > $o))).
% 3.47/2.14 thf(mvalid_decl, type, mvalid: (($i > $o) > $o)).
% 3.47/2.14 thf(sk1_decl, type, sk1: (individuals > ($i > $o))).
% 3.47/2.14 thf(sk2_decl, type, sk2: $i).
% 3.47/2.14 thf(sk3_decl, type, sk3: individuals).
% 3.47/2.14 thf(mall_def, definition, mall = (^ [A:(individuals > ($i > $o)),B:$i]: ! [C:individuals]: (A @ C @ B)) ).
% 3.47/2.14 thf(mvalid_def, definition, mvalid = ((!) @ $i) ).
% 3.47/2.14 thf(sk1_def, definition, sk1 = (@+ [A:(individuals > ($i > $o))]: ~ ((! [B:individuals,C:$i]: (A @ B @ C)) => (! [B:$i,C:individuals]: (A @ C @ B)))) ).
% 3.47/2.14 thf(sk2_def, definition, sk2 = (@+ [A:$i]: ~ (! [B:individuals]: (sk1 @ B @ A))) ).
% 3.47/2.14 thf(sk3_def, definition, sk3 = (@+ [A:individuals]: ~ (sk1 @ A @ sk2)) ).
% 3.47/2.14 thf(1,conjecture,((! [A:(individuals > ($i > $o))]: ((! [B:individuals]: (mvalid @ (A @ B))) => (mvalid @ (mall @ (A)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)).
% 3.47/2.14 thf(2,negated_conjecture,((~ (! [A:(individuals > ($i > $o))]: ((! [B:individuals]: (mvalid @ (A @ B))) => (mvalid @ (mall @ (A))))))),inference(neg_conjecture,[status(cth)],[1])).
% 3.47/2.14 thf(3,plain,((~ (! [A:(individuals > ($i > $o))]: ((! [B:individuals,C:$i]: (A @ B @ C)) => (! [B:$i,C:individuals]: (A @ C @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 3.47/2.14 thf(4,plain,(! [B:$i,A:individuals] : (((sk1 @ A @ B) & ~ (sk1 @ sk3 @ sk2)))),inference(cnf,[status(esa)],[3])).
% 3.47/2.14 thf(6,plain,((~ (sk1 @ sk3 @ sk2))),inference(cnfConj,[status(thm)],[4])).
% 3.47/2.14 thf(5,plain,(! [B:$i,A:individuals] : ((sk1 @ A @ B))),inference(cnfConj,[status(thm)],[4])).
% 3.47/2.14 thf(7,plain,(~ (($true))),inference(rewrite,[status(thm)],[6,5])).
% 3.47/2.14 thf(8,plain,(($false)),inference(simp,[status(thm)],[7])).
% 3.47/2.14 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.47/2.14 % [INFO] Killing All external provers ...
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