%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL594^1 : 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 : n005.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 5.79s 2.98s
% Output : Refutation 6.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL594^1 : 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
% 0.09/0.21 % Computer : n005.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 09:08:16 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 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
% 1.15/1.03 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.97/1.32 % [INFO] Parsing done (283ms).
% 1.97/1.33 % [INFO] Running in sequential loop mode.
% 2.76/1.75 % [INFO] eprover registered as external prover.
% 2.76/1.76 % [INFO] Scanning for conjecture ...
% 3.02/1.89 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 3.24/1.93 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 3.24/1.94 % [INFO] Problem is higher-order (TPTP THF).
% 3.24/1.94 % [INFO] Type checking passed.
% 3.24/1.95 % [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 ...
% 5.79/2.97 % [INFO] Killing All external provers ...
% 5.79/2.97 % Time passed: 2558ms (effective reasoning time: 1634ms)
% 5.79/2.97 % 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)>
% 5.79/2.97 % Axioms used in derivation (0):
% 5.79/2.97 % No. of inferences in proof: 12
% 5.79/2.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2558 ms resp. 1634 ms w/o parsing
% 6.12/3.04 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.12/3.04 thf(individuals_type, type, individuals: $tType).
% 6.12/3.04 thf(mnot_decl, type, mnot: (($i > $o) > ($i > $o))).
% 6.12/3.04 thf(mor_decl, type, mor: (($i > $o) > (($i > $o) > ($i > $o)))).
% 6.12/3.04 thf(mimpl_decl, type, mimpl: (($i > $o) > (($i > $o) > ($i > $o)))).
% 6.12/3.04 thf(mbox_decl, type, mbox: (($i > ($i > $o)) > (($i > $o) > ($i > $o)))).
% 6.12/3.04 thf(mvalid_decl, type, mvalid: (($i > $o) > $o)).
% 6.12/3.04 thf(sk1_decl, type, sk1: (($i > ($i > $o)) > ($i > $o))).
% 6.12/3.04 thf(sk2_decl, type, sk2: (($i > ($i > $o)) > $i)).
% 6.12/3.04 thf(mnot_def, definition, mnot = (^ [A:($i > $o),B:$i]: ~ (A @ B)) ).
% 6.12/3.04 thf(mor_def, definition, mor = (^ [A:($i > $o),B:($i > $o),C:$i]: ((A @ C) | (B @ C))) ).
% 6.12/3.04 thf(mimpl_def, definition, mimpl = (^ [A:($i > $o)]: (mor @ (mnot @ A))) ).
% 6.12/3.04 thf(mbox_def, definition, mbox = (^ [A:($i > ($i > $o)),B:($i > $o),C:$i]: ! [D:$i]: ((A @ C @ D) => (B @ D))) ).
% 6.12/3.04 thf(mvalid_def, definition, mvalid = ((!) @ $i) ).
% 6.12/3.04 thf(sk1_def, definition, sk1 = (^ [A:($i > ($i > $o))]: (@+ [B:($i > $o)]: ~ (! [C:$i]: (~ (! [D:$i]: ((A @ C @ D) => (B @ D))) | (B @ C))))) ).
% 6.12/3.04 thf(sk2_def, definition, sk2 = (^ [A:($i > ($i > $o))]: (@+ [B:$i]: ~ (~ (! [C:$i]: ((A @ B @ C) => (sk1 @ A @ C))) | (sk1 @ A @ B)))) ).
% 6.12/3.04 thf(1,conjecture,((? [A:($i > ($i > $o))]: ! [B:($i > $o)]: (mvalid @ (mimpl @ (mbox @ A @ B) @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)).
% 6.12/3.04 thf(2,negated_conjecture,((~ (? [A:($i > ($i > $o))]: ! [B:($i > $o)]: (mvalid @ (mimpl @ (mbox @ A @ B) @ B))))),inference(neg_conjecture,[status(cth)],[1])).
% 6.12/3.04 thf(3,plain,((~ (? [A:($i > ($i > $o))]: ! [B:($i > $o),C:$i]: (~ (! [D:$i]: ((A @ C @ D) => (B @ D))) | (B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 6.12/3.04 thf(4,plain,(! [B:$i,A:($i > ($i > $o))] : (((~ (A @ (sk2 @ (A)) @ B) | (sk1 @ (A) @ B)) & ~ (sk1 @ (A) @ (sk2 @ (A)))))),inference(cnf,[status(esa)],[3])).
% 6.12/3.04 thf(5,plain,(! [B:$i,A:($i > ($i > $o))] : ((~ (A @ (sk2 @ (A)) @ B)) | (sk1 @ (A) @ B))),inference(cnfConj,[status(thm)],[4])).
% 6.12/3.04 thf(6,plain,(! [A:($i > ($i > $o))] : ((~ (sk1 @ (A) @ (sk2 @ (A)))))),inference(cnfConj,[status(thm)],[4])).
% 6.12/3.04 thf(9,plain,(! [C:($i > ($i > $o)),B:$i,A:($i > ($i > $o))] : ((~ (A @ (sk2 @ (A)) @ B)) | ~ (($true)) | ((sk1 @ (A) @ B) != (sk1 @ (C) @ (sk2 @ (C)))))),inference(paramod_ordered,[status(thm)],[5,6])).
% 6.12/3.04 thf(10,plain,(! [C:($i > ($i > $o)),B:$i,A:($i > ($i > $o))] : ((~ (A @ (sk2 @ (A)) @ B)) | ((sk1 @ (A) @ B) != (sk1 @ (C) @ (sk2 @ (C)))))),inference(simp,[status(thm)],[9])).
% 6.12/3.04 thf(11,plain,(! [A:($i > ($i > $o))] : ((~ (A @ (sk2 @ (A)) @ (sk2 @ (A)))))),inference(pattern_uni,[status(thm)],[10:[bind(A, $thf(D)),bind(B, $thf(sk2 @ (D))),bind(C, $thf(D))]])).
% 6.12/3.04 thf(19,plain,((~ ((sk2 @ ((=) @ $i)) = (sk2 @ ((=) @ $i))))),inference(replace_andrewseq,[status(thm)],[11:[bind(A, $thf((=) @ $i))]])).
% 6.12/3.04 thf(20,plain,(((sk2 @ ((=) @ $i)) != (sk2 @ ((=) @ $i)))),inference(lifteq,[status(thm)],[19])).
% 6.12/3.04 thf(21,plain,(($false)),inference(pattern_uni,[status(thm)],[20:[]])).
% 6.12/3.04 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.12/3.04 % [INFO] Killing All external provers ...
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