%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV435^4 : 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 : n001.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 3.55s 2.19s
% Output : Refutation 3.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV435^4 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.06 % 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 : n001.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 16:09:35 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 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
% 0.86/0.77 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.17/1.01 % [INFO] Parsing done (241ms).
% 1.54/1.03 % [INFO] Running in sequential loop mode.
% 2.11/1.41 % [INFO] eprover registered as external prover.
% 2.11/1.42 % [INFO] Scanning for conjecture ...
% 2.26/1.56 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 2.26/1.59 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.44/1.60 % [INFO] Problem is higher-order (TPTP THF).
% 2.44/1.60 % [INFO] Type checking passed.
% 2.44/1.61 % [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 ...
% 3.55/2.18 % External prover 'e' found a proof!
% 3.55/2.18 % [INFO] Killing All external provers ...
% 3.55/2.18 % Time passed: 1850ms (effective reasoning time: 1148ms)
% 3.55/2.18 % 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)>
% 3.55/2.18 % Axioms used in derivation (3): refl_axiom, trans_axiom, ax1
% 3.55/2.18 % No. of inferences in proof: 10
% 3.55/2.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1850 ms resp. 1148 ms w/o parsing
% 3.76/2.24 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.76/2.24 thf(individuals_type, type, individuals: $tType).
% 3.76/2.24 thf(mfalse_decl, type, mfalse: ($i > $o)).
% 3.76/2.24 thf(mtrue_decl, type, mtrue: ($i > $o)).
% 3.76/2.24 thf(mnot_decl, type, mnot: (($i > $o) > ($i > $o))).
% 3.76/2.24 thf(mor_decl, type, mor: (($i > $o) > (($i > $o) > ($i > $o)))).
% 3.76/2.24 thf(mimpl_decl, type, mimpl: (($i > $o) > (($i > $o) > ($i > $o)))).
% 3.76/2.24 thf(mbox_decl, type, mbox: (($i > ($i > $o)) > (($i > $o) > ($i > $o)))).
% 3.76/2.24 thf(mvalid_decl, type, mvalid: (($i > $o) > $o)).
% 3.76/2.24 thf(rel_decl, type, rel: ($i > ($i > $o))).
% 3.76/2.24 thf(icl_princ_decl, type, icl_princ: (($i > $o) > ($i > $o))).
% 3.76/2.24 thf(icl_true_decl, type, icl_true: ($i > $o)).
% 3.76/2.24 thf(icl_false_decl, type, icl_false: ($i > $o)).
% 3.76/2.24 thf(icl_says_decl, type, icl_says: (($i > $o) > (($i > $o) > ($i > $o)))).
% 3.76/2.24 thf(iclval_decl, type, iclval: (($i > $o) > $o)).
% 3.76/2.24 thf(a_decl, type, a: ($i > $o)).
% 3.76/2.24 thf(mfalse_def, definition, mfalse = (^ [A:$i]: (($false))) ).
% 3.76/2.24 thf(mtrue_def, definition, mtrue = (^ [A:$i]: (($true))) ).
% 3.76/2.24 thf(mnot_def, definition, mnot = (^ [A:($i > $o),B:$i]: ~ (A @ B)) ).
% 3.76/2.24 thf(mor_def, definition, mor = (^ [A:($i > $o),B:($i > $o),C:$i]: ((A @ C) | (B @ C))) ).
% 3.76/2.24 thf(mimpl_def, definition, mimpl = (^ [A:($i > $o)]: (mor @ (mnot @ A))) ).
% 3.76/2.24 thf(mbox_def, definition, mbox = (^ [A:($i > ($i > $o)),B:($i > $o),C:$i]: ! [D:$i]: ((A @ C @ D) => (B @ D))) ).
% 3.76/2.24 thf(mvalid_def, definition, mvalid = ((!) @ $i) ).
% 3.76/2.24 thf(icl_princ_def, definition, icl_princ = (^ [A:($i > $o)]: (A)) ).
% 3.76/2.24 thf(icl_true_def, definition, icl_true = (mtrue) ).
% 3.76/2.24 thf(icl_false_def, definition, icl_false = (mfalse) ).
% 3.76/2.24 thf(icl_says_def, definition, icl_says = (^ [A:($i > $o),B:($i > $o)]: (mbox @ rel @ (mor @ A @ B))) ).
% 3.76/2.24 thf(iclval_def, definition, iclval = (mvalid) ).
% 3.76/2.24 thf(1,conjecture,((iclval @ (icl_says @ (icl_princ @ a) @ icl_false))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',untrust)).
% 3.76/2.24 thf(2,negated_conjecture,((~ (iclval @ (icl_says @ (icl_princ @ a) @ icl_false)))),inference(neg_conjecture,[status(cth)],[1])).
% 3.76/2.24 thf(6,plain,((~ (! [A:$i,B:$i]: ((rel @ A @ B) => (a @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
% 3.76/2.24 thf(3,axiom,((! [A:($i > $o)]: (mvalid @ (mimpl @ (mbox @ rel @ A) @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_axiom)).
% 3.76/2.24 thf(10,plain,((! [A:($i > $o),B:$i]: (~ (! [C:$i]: ((rel @ B @ C) => (A @ C))) | (A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])).
% 3.76/2.24 thf(4,axiom,((! [A:($i > $o)]: (mvalid @ (mimpl @ (mbox @ rel @ A) @ (mbox @ rel @ (mbox @ rel @ A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_axiom)).
% 3.76/2.24 thf(16,plain,((! [A:($i > $o),B:$i]: (~ (! [C:$i]: ((rel @ B @ C) => (A @ C))) | ! [C:$i]: ((rel @ B @ C) => (! [D:$i]: ((rel @ C @ D) => (A @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])).
% 3.76/2.24 thf(5,axiom,(((icl_princ @ a) = icl_true)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)).
% 3.76/2.24 thf(22,plain,(((a) = (^ [A:$i]: (($true))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])).
% 3.76/2.24 thf(25,plain,(($false)),inference(e,[status(thm)],[6,10,16,22])).
% 3.76/2.24 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.76/2.24 % [INFO] Killing All external provers ...
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