%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV429^2 : TPTP v9.3.1. Released v3.6.0.
% 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 : n003.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 08:39:52 AM UTC 2026
% Result : Theorem 2.41s 1.16s
% Output : Refutation 2.41s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV429^2 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.08 % 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
% 0.10/0.21 % Computer : n003.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 16:04:36 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
% 0.64/0.53 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.01/0.68 % [INFO] Parsing done (146ms).
% 1.01/0.68 % [INFO] Running in sequential loop mode.
% 1.52/0.88 % [INFO] eprover registered as external prover.
% 1.52/0.89 % [INFO] Scanning for conjecture ...
% 1.76/0.97 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 1.76/0.99 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.76/0.99 % [INFO] Problem is higher-order (TPTP THF).
% 1.76/0.99 % [INFO] Type checking passed.
% 1.76/1.00 % [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 ...
% 2.41/1.16 % [INFO] Killing All external provers ...
% 2.41/1.16 % Time passed: 844ms (effective reasoning time: 470ms)
% 2.41/1.16 % 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)>
% 2.41/1.16 % Axioms used in derivation (0):
% 2.41/1.16 % No. of inferences in proof: 4
% 2.41/1.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 844 ms resp. 470 ms w/o parsing
% 2.41/1.19 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.41/1.19 thf(individuals_type, type, individuals: $tType).
% 2.41/1.19 thf(mnot_decl, type, mnot: (($i > $o) > ($i > $o))).
% 2.41/1.19 thf(mor_decl, type, mor: (($i > $o) > (($i > $o) > ($i > $o)))).
% 2.41/1.19 thf(mimpl_decl, type, mimpl: (($i > $o) > (($i > $o) > ($i > $o)))).
% 2.41/1.19 thf(mbox_decl, type, mbox: (($i > ($i > $o)) > (($i > $o) > ($i > $o)))).
% 2.41/1.19 thf(mvalid_decl, type, mvalid: (($i > $o) > $o)).
% 2.41/1.19 thf(rel_decl, type, rel: ($i > ($i > $o))).
% 2.41/1.19 thf(icl_princ_decl, type, icl_princ: (($i > $o) > ($i > $o))).
% 2.41/1.19 thf(iclval_decl, type, iclval: (($i > $o) > $o)).
% 2.41/1.19 thf(icl_impl_princ_decl, type, icl_impl_princ: (($i > $o) > (($i > $o) > ($i > $o)))).
% 2.41/1.19 thf(a_decl, type, a: ($i > $o)).
% 2.41/1.19 thf(mnot_def, definition, mnot = (^ [A:($i > $o),B:$i]: ~ (A @ B)) ).
% 2.41/1.19 thf(mor_def, definition, mor = (^ [A:($i > $o),B:($i > $o),C:$i]: ((A @ C) | (B @ C))) ).
% 2.41/1.19 thf(mimpl_def, definition, mimpl = (^ [A:($i > $o)]: (mor @ (mnot @ A))) ).
% 2.41/1.19 thf(mbox_def, definition, mbox = (^ [A:($i > ($i > $o)),B:($i > $o),C:$i]: ! [D:$i]: ((A @ C @ D) => (B @ D))) ).
% 2.41/1.19 thf(mvalid_def, definition, mvalid = ((!) @ $i) ).
% 2.41/1.19 thf(icl_princ_def, definition, icl_princ = (^ [A:($i > $o)]: (A)) ).
% 2.41/1.19 thf(iclval_def, definition, iclval = (mvalid) ).
% 2.41/1.19 thf(icl_impl_princ_def, definition, icl_impl_princ = (^ [A:($i > $o),B:($i > $o)]: (mbox @ rel @ (mimpl @ A @ B))) ).
% 2.41/1.19 thf(1,conjecture,((iclval @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ a)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 2.41/1.19 thf(2,negated_conjecture,((~ (iclval @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ a))))),inference(neg_conjecture,[status(cth)],[1])).
% 2.41/1.19 thf(5,plain,(~ (($true))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 2.41/1.19 thf(6,plain,(($false)),inference(simp,[status(thm)],[5])).
% 2.41/1.19 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.41/1.19 % [INFO] Killing All external provers ...
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