%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PHI003^6 : TPTP v9.3.1. Released v9.0.0.
% 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 : 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 08:20:12 AM UTC 2026
% Result : Theorem 4.03s 2.22s
% Output : Refutation 4.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI003^6 : TPTP v9.3.1. Released v9.0.0.
% 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
% 0.10/0.21 % 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 13:12:37 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
% 0.89/0.79 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.24/0.99 % [INFO] Parsing done (192ms).
% 1.24/1.01 % [INFO] Input problem is non-classical (logic $modal). Running HOL transformation from semantics specification contained in the problem file ...
% 1.65/1.15 % [INFO] Running in sequential loop mode.
% 2.47/1.52 % [INFO] eprover registered as external prover.
% 2.47/1.53 % [INFO] Scanning for conjecture ...
% 2.65/1.63 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 2.65/1.67 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 2.65/1.68 % [INFO] Problem is higher-order (TPTP THF).
% 2.65/1.69 % [INFO] Type checking passed.
% 2.85/1.70 % [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 ...
% 4.03/2.21 % External prover 'e' found a proof!
% 4.03/2.21 % [INFO] Killing All external provers ...
% 4.03/2.21 % Time passed: 1858ms (effective reasoning time: 1059ms)
% 4.03/2.21 % 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)>
% 4.03/2.21 % Axioms used in derivation (4): coro2, mrel_reflexive, axiom3, coro1
% 4.03/2.22 % No. of inferences in proof: 12
% 4.03/2.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1858 ms resp. 1059 ms w/o parsing
% 4.03/2.27 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.03/2.27 thf(entity_type, type, entity: $tType).
% 4.03/2.27 thf(mworld_type, type, mworld: $tType).
% 4.03/2.27 thf(mrel_decl, type, mrel: (mworld > (mworld > $o))).
% 4.03/2.27 thf(mdia_decl, type, mdia: ((mworld > $o) > (mworld > $o))).
% 4.03/2.27 thf(mactual_decl, type, mactual: mworld).
% 4.03/2.27 thf(mlocal_decl, type, mlocal: ((mworld > $o) > $o)).
% 4.03/2.27 thf(mglobal_decl, type, mglobal: ((mworld > $o) > $o)).
% 4.03/2.27 thf(god_like_decl, type, god_like: (mworld > (entity > $o))).
% 4.03/2.27 thf(positive_property_decl, type, positive_property: (mworld > ((entity > $o) > $o))).
% 4.03/2.27 thf(mdia_def, definition, mdia = (^ [A:(mworld > $o),B:mworld]: ? [C:mworld]: ((mrel @ B @ C) & (A @ C))) ).
% 4.03/2.27 thf(mlocal_def, definition, mlocal = (^ [A:(mworld > $o)]: (A @ mactual)) ).
% 4.03/2.27 thf(mglobal_def, definition, mglobal = ((!) @ mworld) ).
% 4.03/2.27 thf(5,axiom,((mglobal @ (^ [A:mworld]: ! [B:(entity > $o),C:(entity > $o)]: (((positive_property @ A @ B) & ! [D:entity]: ((B @ D) => (C @ D))) => (positive_property @ A @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',coro2)).
% 4.03/2.27 thf(14,plain,((! [A:mworld,B:(entity > $o),C:(entity > $o)]: (((positive_property @ A @ (B)) & ! [D:entity]: ((B @ D) => (C @ D))) => (positive_property @ A @ (C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])).
% 4.03/2.27 thf(3,axiom,((! [A:mworld]: (mrel @ A @ A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive)).
% 4.03/2.27 thf(9,plain,((! [A:mworld]: (mrel @ A @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])).
% 4.03/2.27 thf(1,conjecture,((mlocal @ (mdia @ (^ [A:mworld]: ? [B:entity]: (god_like @ A @ B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4)).
% 4.03/2.27 thf(2,negated_conjecture,((~ (mlocal @ (mdia @ (^ [A:mworld]: ? [B:entity]: (god_like @ A @ B)))))),inference(neg_conjecture,[status(cth)],[1])).
% 4.03/2.27 thf(7,plain,((~ (? [A:mworld]: ((mrel @ mactual @ A) & ? [B:entity]: (god_like @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 4.03/2.27 thf(6,axiom,((mglobal @ (^ [A:mworld]: (positive_property @ A @ (god_like @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom3)).
% 4.03/2.27 thf(18,plain,((! [A:mworld]: (positive_property @ A @ (god_like @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])).
% 4.03/2.27 thf(4,axiom,((mglobal @ (^ [A:mworld]: ~ (positive_property @ A @ (^ [B:entity]: (B != B)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',coro1)).
% 4.03/2.27 thf(11,plain,((! [A:mworld]: ~ (positive_property @ A @ (^ [B:entity]: (($false)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])).
% 4.03/2.27 thf(20,plain,(($false)),inference(e,[status(thm)],[14,9,7,18,11])).
% 4.03/2.27 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.03/2.27 % [INFO] Killing All external provers ...
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