%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV444^1 : TPTP v9.3.1. Released v3.7.0.
% 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 : n019.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 08:39:53 AM UTC 2026
% Result : Theorem 3.71s 1.99s
% Output : Refutation 4.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV444^1 : TPTP v9.3.1. Released v3.7.0.
% 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
% 0.12/0.19 % Computer : n019.cluster.edu
% 0.12/0.19 % Model : x86_64 x86_64
% 0.12/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19 % Memory : 8046.5625MB
% 0.12/0.19 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.19 % WCLimit : 300
% 0.12/0.19 % DateTime : Tue Sep 29 16:04:32 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 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
% 0.88/0.78 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.54/1.06 % [INFO] Parsing done (275ms).
% 1.54/1.07 % [INFO] Running in sequential loop mode.
% 1.96/1.37 % [INFO] eprover registered as external prover.
% 1.96/1.38 % [INFO] Scanning for conjecture ...
% 2.18/1.45 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 2.18/1.47 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 2.18/1.48 % [INFO] Problem is higher-order (TPTP THF).
% 2.18/1.48 % [INFO] Type checking passed.
% 2.18/1.48 % [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 ...
% 3.71/1.99 % External prover 'e' found a proof!
% 3.71/1.99 % [INFO] Killing All external provers ...
% 3.71/1.99 % Time passed: 1661ms (effective reasoning time: 914ms)
% 3.71/1.99 % 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)>
% 3.71/1.99 % Axioms used in derivation (6): trans_axiom_i, trans_axiom_r, loca_strength, refl_axiom_r, ax_i_r_commute, refl_axiom_i
% 3.71/1.99 % No. of inferences in proof: 16
% 3.71/1.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1661 ms resp. 914 ms w/o parsing
% 4.23/2.04 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.23/2.04 thf(individuals_type, type, individuals: $tType).
% 4.23/2.04 thf(mnot_decl, type, mnot: (($i > $o) > ($i > $o))).
% 4.23/2.04 thf(mor_decl, type, mor: (($i > $o) > (($i > $o) > ($i > $o)))).
% 4.23/2.04 thf(mimpl_decl, type, mimpl: (($i > $o) > (($i > $o) > ($i > $o)))).
% 4.23/2.04 thf(mbox_decl, type, mbox: (($i > ($i > $o)) > (($i > $o) > ($i > $o)))).
% 4.23/2.04 thf(mall_decl, type, mall: ((individuals > ($i > $o)) > ($i > $o))).
% 4.23/2.04 thf(mvalid_decl, type, mvalid: (($i > $o) > $o)).
% 4.23/2.04 thf(reli_decl, type, reli: ($i > ($i > $o))).
% 4.23/2.04 thf(relr_decl, type, relr: ($i > ($i > $o))).
% 4.23/2.04 thf(cs4_atom_decl, type, cs4_atom: (($i > $o) > ($i > $o))).
% 4.23/2.04 thf(cs4_impl_decl, type, cs4_impl: (($i > $o) > (($i > $o) > ($i > $o)))).
% 4.23/2.04 thf(cs4_all_decl, type, cs4_all: ((individuals > ($i > $o)) > ($i > $o))).
% 4.23/2.04 thf(cs4_box_decl, type, cs4_box: (($i > $o) > ($i > $o))).
% 4.23/2.04 thf(cs4_valid_decl, type, cs4_valid: (($i > $o) > $o)).
% 4.23/2.04 thf(princ_inj_decl, type, princ_inj: (individuals > ($i > $o))).
% 4.23/2.04 thf(bl_atom_decl, type, bl_atom: (($i > $o) > ($i > $o))).
% 4.23/2.04 thf(bl_princ_decl, type, bl_princ: (($i > $o) > ($i > $o))).
% 4.23/2.04 thf(bl_impl_decl, type, bl_impl: (($i > $o) > (($i > $o) > ($i > $o)))).
% 4.23/2.04 thf(bl_says_decl, type, bl_says: (individuals > (($i > $o) > ($i > $o)))).
% 4.23/2.04 thf(bl_valid_decl, type, bl_valid: (($i > $o) > $o)).
% 4.23/2.04 thf(loca_decl, type, loca: individuals).
% 4.23/2.04 thf(mnot_def, definition, mnot = (^ [A:($i > $o),B:$i]: ~ (A @ B)) ).
% 4.23/2.04 thf(mor_def, definition, mor = (^ [A:($i > $o),B:($i > $o),C:$i]: ((A @ C) | (B @ C))) ).
% 4.23/2.04 thf(mimpl_def, definition, mimpl = (^ [A:($i > $o)]: (mor @ (mnot @ A))) ).
% 4.23/2.04 thf(mbox_def, definition, mbox = (^ [A:($i > ($i > $o)),B:($i > $o),C:$i]: ! [D:$i]: ((A @ C @ D) => (B @ D))) ).
% 4.23/2.04 thf(mall_def, definition, mall = (^ [A:(individuals > ($i > $o)),B:$i]: ! [C:individuals]: (A @ C @ B)) ).
% 4.23/2.04 thf(mvalid_def, definition, mvalid = ((!) @ $i) ).
% 4.23/2.04 thf(cs4_atom_def, definition, cs4_atom = (mbox @ reli) ).
% 4.23/2.04 thf(cs4_impl_def, definition, cs4_impl = (^ [A:($i > $o),B:($i > $o)]: (mbox @ reli @ (mimpl @ A @ B))) ).
% 4.23/2.04 thf(cs4_all_def, definition, cs4_all = (^ [A:(individuals > ($i > $o))]: (mbox @ reli @ (mall @ A))) ).
% 4.23/2.04 thf(cs4_box_def, definition, cs4_box = (^ [A:($i > $o)]: (mbox @ reli @ (mbox @ relr @ A))) ).
% 4.23/2.04 thf(cs4_valid_def, definition, cs4_valid = (mvalid) ).
% 4.23/2.04 thf(bl_atom_def, definition, bl_atom = (cs4_atom) ).
% 4.23/2.04 thf(bl_princ_def, definition, bl_princ = (cs4_atom) ).
% 4.23/2.04 thf(bl_impl_def, definition, bl_impl = (cs4_impl) ).
% 4.23/2.04 thf(bl_says_def, definition, bl_says = (^ [A:individuals,B:($i > $o)]: (cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ A)) @ B))) ).
% 4.23/2.04 thf(bl_valid_def, definition, bl_valid = (mvalid) ).
% 4.23/2.04 thf(8,axiom,((cs4_valid @ (cs4_all @ (^ [A:individuals]: (cs4_impl @ (princ_inj @ A) @ (princ_inj @ loca)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',loca_strength)).
% 4.23/2.04 thf(52,plain,((! [A:$i,B:$i]: ((reli @ A @ B) => (! [C:individuals,D:$i]: ((reli @ B @ D) => (~ (princ_inj @ C @ D) | (princ_inj @ loca @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])).
% 4.23/2.04 thf(1,conjecture,((! [A:individuals,B:($i > $o)]: (bl_valid @ (bl_impl @ (bl_says @ loca @ (bl_atom @ B)) @ (bl_says @ A @ (bl_atom @ B)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_strength)).
% 4.23/2.04 thf(2,negated_conjecture,((~ (! [A:individuals,B:($i > $o)]: (bl_valid @ (bl_impl @ (bl_says @ loca @ (bl_atom @ B)) @ (bl_says @ A @ (bl_atom @ B))))))),inference(neg_conjecture,[status(cth)],[1])).
% 4.23/2.04 thf(9,plain,((~ (! [A:individuals,B:($i > $o),C:$i,D:$i]: ((reli @ C @ D) => (~ (! [E:$i]: ((reli @ D @ E) => (! [F:$i]: ((relr @ E @ F) => (! [G:$i]: ((reli @ F @ G) => (~ (! [H:$i]: ((reli @ G @ H) => (princ_inj @ loca @ H))) | ! [H:$i]: ((reli @ G @ H) => (B @ H))))))))) | ! [E:$i]: ((reli @ D @ E) => (! [F:$i]: ((relr @ E @ F) => (! [G:$i]: ((reli @ F @ G) => (~ (! [H:$i]: ((reli @ G @ H) => (princ_inj @ A @ H))) | ! [H:$i]: ((reli @ G @ H) => (B @ H))))))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 4.23/2.04 thf(7,axiom,((! [A:($i > $o)]: (mvalid @ (mimpl @ (mbox @ reli @ (mbox @ relr @ A)) @ (mbox @ relr @ (mbox @ reli @ A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_i_r_commute)).
% 4.23/2.04 thf(45,plain,((! [A:($i > $o),B:$i]: (~ (! [C:$i]: ((reli @ B @ C) => (! [D:$i]: ((relr @ C @ D) => (A @ D))))) | ! [C:$i]: ((relr @ B @ C) => (! [D:$i]: ((reli @ C @ D) => (A @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])).
% 4.23/2.04 thf(4,axiom,((! [A:($i > $o)]: (mvalid @ (mimpl @ (mbox @ relr @ A) @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_axiom_r)).
% 4.23/2.04 thf(27,plain,((! [A:($i > $o),B:$i]: (~ (! [C:$i]: ((relr @ B @ C) => (A @ C))) | (A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])).
% 4.23/2.04 thf(6,axiom,((! [A:($i > $o)]: (mvalid @ (mimpl @ (mbox @ relr @ A) @ (mbox @ relr @ (mbox @ relr @ A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_axiom_r)).
% 4.23/2.04 thf(39,plain,((! [A:($i > $o),B:$i]: (~ (! [C:$i]: ((relr @ B @ C) => (A @ C))) | ! [C:$i]: ((relr @ B @ C) => (! [D:$i]: ((relr @ C @ D) => (A @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])).
% 4.23/2.04 thf(3,axiom,((! [A:($i > $o)]: (mvalid @ (mimpl @ (mbox @ reli @ A) @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_axiom_i)).
% 4.23/2.04 thf(21,plain,((! [A:($i > $o),B:$i]: (~ (! [C:$i]: ((reli @ B @ C) => (A @ C))) | (A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])).
% 4.23/2.04 thf(5,axiom,((! [A:($i > $o)]: (mvalid @ (mimpl @ (mbox @ reli @ A) @ (mbox @ reli @ (mbox @ reli @ A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_axiom_i)).
% 4.23/2.04 thf(33,plain,((! [A:($i > $o),B:$i]: (~ (! [C:$i]: ((reli @ B @ C) => (A @ C))) | ! [C:$i]: ((reli @ B @ C) => (! [D:$i]: ((reli @ C @ D) => (A @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])).
% 4.23/2.04 thf(86,plain,(($false)),inference(e,[status(thm)],[52,9,45,27,39,21,33])).
% 4.23/2.04 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.23/2.04 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------