%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO053^2 : 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 : n026.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 08:45:06 AM UTC 2026
% Result : Theorem 3.54s 2.16s
% Output : Refutation 3.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO053^2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % 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
% 0.10/0.22 % Computer : n026.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 16:27:42 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 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
% 1.02/0.81 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.54/1.06 % [INFO] Parsing done (250ms).
% 1.54/1.07 % [INFO] Running in sequential loop mode.
% 2.10/1.47 % [INFO] eprover registered as external prover.
% 2.10/1.48 % [INFO] Scanning for conjecture ...
% 2.49/1.64 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.49/1.67 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.49/1.67 % [INFO] Problem is higher-order (TPTP THF).
% 2.49/1.68 % [INFO] Type checking passed.
% 2.49/1.68 % [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 ...
% 3.54/2.15 % [INFO] Killing All external provers ...
% 3.54/2.15 % Time passed: 1787ms (effective reasoning time: 1073ms)
% 3.54/2.15 % 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)>
% 3.54/2.16 % Axioms used in derivation (0):
% 3.54/2.16 % No. of inferences in proof: 7
% 3.54/2.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1787 ms resp. 1073 ms w/o parsing
% 3.65/2.20 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.65/2.20 thf(mu_type, type, mu: $tType).
% 3.65/2.20 thf(mnot_decl, type, mnot: (($i > $o) > ($i > $o))).
% 3.65/2.20 thf(mtrue_decl, type, mtrue: ($i > $o)).
% 3.65/2.20 thf(mbox_decl, type, mbox: (($i > ($i > $o)) > (($i > $o) > ($i > $o)))).
% 3.65/2.20 thf(mdia_decl, type, mdia: (($i > ($i > $o)) > (($i > $o) > ($i > $o)))).
% 3.65/2.20 thf(mvalid_decl, type, mvalid: (($i > $o) > $o)).
% 3.65/2.20 thf(sk1_decl, type, sk1: ($i > (($i > ($i > $o)) > $i))).
% 3.65/2.20 thf(mnot_def, definition, mnot = (^ [A:($i > $o),B:$i]: ~ (A @ B)) ).
% 3.65/2.20 thf(mtrue_def, definition, mtrue = (^ [A:$i]: (($true))) ).
% 3.65/2.20 thf(mbox_def, definition, mbox = (^ [A:($i > ($i > $o)),B:($i > $o),C:$i]: ! [D:$i]: (~ (A @ C @ D) | (B @ D))) ).
% 3.65/2.20 thf(mdia_def, definition, mdia = (^ [A:($i > ($i > $o)),B:($i > $o)]: (mnot @ (mbox @ A @ (mnot @ B)))) ).
% 3.65/2.20 thf(mvalid_def, definition, mvalid = ((!) @ $i) ).
% 3.65/2.20 thf(sk1_def, definition, sk1 = (^ [A:$i,B:($i > ($i > $o))]: (@+ [C:$i]: (B @ A @ C))) ).
% 3.65/2.20 thf(1,conjecture,((? [A:($i > ($i > $o))]: ~ (mvalid @ (mdia @ A @ mtrue)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 3.65/2.20 thf(2,negated_conjecture,((~ (? [A:($i > ($i > $o))]: ~ (mvalid @ (mdia @ A @ mtrue))))),inference(neg_conjecture,[status(cth)],[1])).
% 3.65/2.20 thf(3,plain,((~ (? [A:($i > ($i > $o))]: ~ (! [B:$i]: ~ (! [C:$i]: ~ (A @ B @ C)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 3.65/2.20 thf(4,plain,((~ (~ (~ (~ (! [A:($i > ($i > $o)),B:$i]: ? [C:$i]: (A @ B @ C))))))),inference(miniscope,[status(thm)],[3])).
% 3.65/2.20 thf(5,plain,(! [B:$i,A:($i > ($i > $o))] : ((A @ B @ (sk1 @ B @ (A))))),inference(cnf,[status(esa)],[4])).
% 3.65/2.20 thf(7,plain,(($false)),inference(prim_subst,[status(thm)],[5:[bind(A, $thf(^ [C:$i,D:$i]: (($false))))]])).
% 3.65/2.20 thf(12,plain,(($false)),inference(simp,[status(thm)],[7])).
% 3.65/2.20 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.65/2.20 % [INFO] Killing All external provers ...
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