%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL597^1 : 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 : 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 08:14:06 AM UTC 2026
% Result : Theorem 3.15s 1.30s
% Output : Refutation 3.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL597^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.08 % 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
% 0.10/0.21 % Computer : n017.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 09:05:23 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 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
% 0.68/0.53 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.13/0.66 % [INFO] Parsing done (127ms).
% 1.13/0.67 % [INFO] Running in sequential loop mode.
% 1.47/0.87 % [INFO] eprover registered as external prover.
% 1.47/0.87 % [INFO] Scanning for conjecture ...
% 1.75/0.94 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.75/0.95 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.75/0.95 % [INFO] Problem is higher-order (TPTP THF).
% 1.75/0.96 % [INFO] Type checking passed.
% 1.75/0.96 % [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 ...
% 3.15/1.30 % [INFO] Killing All external provers ...
% 3.15/1.30 % Time passed: 992ms (effective reasoning time: 625ms)
% 3.15/1.30 % 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)>
% 3.15/1.30 % Axioms used in derivation (0):
% 3.15/1.30 % No. of inferences in proof: 8
% 3.15/1.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 992 ms resp. 625 ms w/o parsing
% 3.15/1.34 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.15/1.34 thf(individuals_type, type, individuals: $tType).
% 3.15/1.34 thf(mnot_decl, type, mnot: (($i > $o) > ($i > $o))).
% 3.15/1.34 thf(mor_decl, type, mor: (($i > $o) > (($i > $o) > ($i > $o)))).
% 3.15/1.34 thf(mimpl_decl, type, mimpl: (($i > $o) > (($i > $o) > ($i > $o)))).
% 3.15/1.34 thf(mbox_decl, type, mbox: (($i > ($i > $o)) > (($i > $o) > ($i > $o)))).
% 3.15/1.34 thf(mvalid_decl, type, mvalid: (($i > $o) > $o)).
% 3.15/1.34 thf(sk1_decl, type, sk1: (($i > ($i > $o)) > ($i > $o))).
% 3.15/1.34 thf(sk2_decl, type, sk2: (($i > ($i > $o)) > $i)).
% 3.15/1.34 thf(sk3_decl, type, sk3: (($i > ($i > $o)) > $i)).
% 3.15/1.34 thf(sk4_decl, type, sk4: (($i > ($i > $o)) > $i)).
% 3.15/1.34 thf(mnot_def, definition, mnot = (^ [A:($i > $o),B:$i]: ~ (A @ B)) ).
% 3.15/1.34 thf(mor_def, definition, mor = (^ [A:($i > $o),B:($i > $o),C:$i]: ((A @ C) | (B @ C))) ).
% 3.15/1.34 thf(mimpl_def, definition, mimpl = (^ [A:($i > $o)]: (mor @ (mnot @ A))) ).
% 3.15/1.34 thf(mbox_def, definition, mbox = (^ [A:($i > ($i > $o)),B:($i > $o),C:$i]: ! [D:$i]: ((A @ C @ D) => (B @ D))) ).
% 3.15/1.34 thf(mvalid_def, definition, mvalid = ((!) @ $i) ).
% 3.15/1.34 thf(sk1_def, definition, sk1 = (^ [A:($i > ($i > $o))]: (@+ [B:($i > $o)]: ~ (! [C:$i]: (~ (! [D:$i]: ((A @ C @ D) => (B @ D))) | ! [D:$i]: ((A @ C @ D) => (! [E:$i]: ((A @ D @ E) => (B @ E)))))))) ).
% 3.15/1.34 thf(sk2_def, definition, sk2 = (^ [A:($i > ($i > $o))]: (@+ [B:$i]: ~ (~ (! [C:$i]: ((A @ B @ C) => (sk1 @ A @ C))) | ! [C:$i]: ((A @ B @ C) => (! [D:$i]: ((A @ C @ D) => (sk1 @ A @ D))))))) ).
% 3.15/1.34 thf(sk3_def, definition, sk3 = (^ [A:($i > ($i > $o))]: (@+ [B:$i]: ~ ((A @ (sk2 @ A) @ B) => (! [C:$i]: ((A @ B @ C) => (sk1 @ A @ C)))))) ).
% 3.15/1.34 thf(sk4_def, definition, sk4 = (^ [A:($i > ($i > $o))]: (@+ [B:$i]: ~ ((A @ (sk3 @ A) @ B) => (sk1 @ A @ B)))) ).
% 3.15/1.34 thf(1,conjecture,((? [A:($i > ($i > $o))]: ! [B:($i > $o)]: (mvalid @ (mimpl @ (mbox @ A @ B) @ (mbox @ A @ (mbox @ A @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)).
% 3.15/1.34 thf(2,negated_conjecture,((~ (? [A:($i > ($i > $o))]: ! [B:($i > $o)]: (mvalid @ (mimpl @ (mbox @ A @ B) @ (mbox @ A @ (mbox @ A @ B))))))),inference(neg_conjecture,[status(cth)],[1])).
% 3.15/1.34 thf(3,plain,((~ (? [A:($i > ($i > $o))]: ! [B:($i > $o),C:$i]: (~ (! [D:$i]: ((A @ C @ D) => (B @ D))) | ! [D:$i]: ((A @ C @ D) => (! [E:$i]: ((A @ D @ E) => (B @ E)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 3.15/1.34 thf(4,plain,(! [B:$i,A:($i > ($i > $o))] : (((~ (A @ (sk2 @ (A)) @ B) | (sk1 @ (A) @ B)) & (A @ (sk2 @ (A)) @ (sk3 @ (A))) & (A @ (sk3 @ (A)) @ (sk4 @ (A))) & ~ (sk1 @ (A) @ (sk4 @ (A)))))),inference(cnf,[status(esa)],[3])).
% 3.15/1.34 thf(8,plain,(! [A:($i > ($i > $o))] : ((~ (sk1 @ (A) @ (sk4 @ (A)))))),inference(cnfConj,[status(thm)],[4])).
% 3.15/1.34 thf(6,plain,(! [A:($i > ($i > $o))] : ((A @ (sk2 @ (A)) @ (sk3 @ (A))))),inference(cnfConj,[status(thm)],[4])).
% 3.15/1.34 thf(9,plain,(~ (($true))),inference(rewrite,[status(thm)],[8,6])).
% 3.15/1.34 thf(10,plain,(($false)),inference(simp,[status(thm)],[9])).
% 3.15/1.34 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.15/1.34 % [INFO] Killing All external provers ...
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