%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN390^4 : 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 : n015.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 08:41:32 AM UTC 2026
% Result : Theorem 2.88s 1.84s
% Output : Refutation 3.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN390^4 : 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
% 0.08/0.20 % Computer : n015.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % 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 16:19:03 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 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
% 1.01/0.80 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/1.03 % [INFO] Parsing done (226ms).
% 1.61/1.05 % [INFO] Running in sequential loop mode.
% 2.13/1.46 % [INFO] eprover registered as external prover.
% 2.13/1.47 % [INFO] Scanning for conjecture ...
% 2.50/1.60 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 2.50/1.63 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.50/1.64 % [INFO] Problem is higher-order (TPTP THF).
% 2.50/1.64 % [INFO] Type checking passed.
% 2.50/1.65 % [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 ...
% 2.88/1.83 % [INFO] Killing All external provers ...
% 2.88/1.84 % Time passed: 1477ms (effective reasoning time: 782ms)
% 2.88/1.84 % 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)>
% 2.88/1.84 % Axioms used in derivation (0):
% 2.88/1.84 % No. of inferences in proof: 4
% 2.88/1.84 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1477 ms resp. 782 ms w/o parsing
% 3.09/1.90 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.09/1.90 thf(irel_decl, type, irel: ($i > ($i > $o))).
% 3.09/1.90 thf(mnot_decl, type, mnot: (($i > $o) > ($i > $o))).
% 3.09/1.90 thf(mor_decl, type, mor: (($i > $o) > (($i > $o) > ($i > $o)))).
% 3.09/1.90 thf(mand_decl, type, mand: (($i > $o) > (($i > $o) > ($i > $o)))).
% 3.09/1.90 thf(mimplies_decl, type, mimplies: (($i > $o) > (($i > $o) > ($i > $o)))).
% 3.09/1.90 thf(mbox_s4_decl, type, mbox_s4: (($i > $o) > ($i > $o))).
% 3.09/1.90 thf(iatom_decl, type, iatom: (($i > $o) > ($i > $o))).
% 3.09/1.90 thf(iand_decl, type, iand: (($i > $o) > (($i > $o) > ($i > $o)))).
% 3.09/1.90 thf(iimplies_decl, type, iimplies: (($i > $o) > (($i > $o) > ($i > $o)))).
% 3.09/1.90 thf(iequiv_decl, type, iequiv: (($i > $o) > (($i > $o) > ($i > $o)))).
% 3.09/1.90 thf(ivalid_decl, type, ivalid: (($i > $o) > $o)).
% 3.09/1.90 thf(p_decl, type, p: ($i > $o)).
% 3.09/1.90 thf(mnot_def, definition, mnot = (^ [A:($i > $o),B:$i]: ~ (A @ B)) ).
% 3.09/1.90 thf(mor_def, definition, mor = (^ [A:($i > $o),B:($i > $o),C:$i]: ((A @ C) | (B @ C))) ).
% 3.09/1.90 thf(mand_def, definition, mand = (^ [A:($i > $o),B:($i > $o),C:$i]: ((A @ C) & (B @ C))) ).
% 3.09/1.90 thf(mimplies_def, definition, mimplies = (^ [A:($i > $o)]: (mor @ (mnot @ A))) ).
% 3.09/1.90 thf(mbox_s4_def, definition, mbox_s4 = (^ [A:($i > $o),B:$i]: ! [C:$i]: ((irel @ B @ C) => (A @ C))) ).
% 3.09/1.90 thf(iatom_def, definition, iatom = (^ [A:($i > $o)]: (A)) ).
% 3.09/1.90 thf(iand_def, definition, iand = (mand) ).
% 3.09/1.90 thf(iimplies_def, definition, iimplies = (^ [A:($i > $o),B:($i > $o)]: (mimplies @ (mbox_s4 @ A) @ (mbox_s4 @ B))) ).
% 3.09/1.90 thf(iequiv_def, definition, iequiv = (^ [A:($i > $o),B:($i > $o)]: (iand @ (iimplies @ A @ B) @ (iimplies @ B @ A))) ).
% 3.09/1.90 thf(ivalid_def, definition, ivalid = ((!) @ $i) ).
% 3.09/1.90 thf(1,conjecture,((ivalid @ (iequiv @ (iatom @ p) @ (iatom @ p)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel11)).
% 3.09/1.90 thf(2,negated_conjecture,((~ (ivalid @ (iequiv @ (iatom @ p) @ (iatom @ p))))),inference(neg_conjecture,[status(cth)],[1])).
% 3.09/1.90 thf(5,plain,(~ (($true))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 3.09/1.90 thf(6,plain,(($false)),inference(simp,[status(thm)],[5])).
% 3.09/1.90 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.09/1.90 % [INFO] Killing All external provers ...
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