0.05/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.11 % Command : run_Leo-III %s %d 0.10/0.31 % Computer : n003.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Tue Aug 9 04:03:51 EDT 2022 0.10/0.31 % CPUTime : 0.91/0.89 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 1.47/1.14 % [INFO] Parsing done (254ms). 1.47/1.15 % [INFO] Running in sequential loop mode. 2.04/1.49 % [INFO] eprover registered as external prover. 2.04/1.49 % [INFO] cvc4 registered as external prover. 2.04/1.50 % [INFO] Scanning for conjecture ... 2.38/1.67 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ... 2.47/1.70 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms). 2.47/1.70 % [INFO] Problem is higher-order (TPTP THF). 2.47/1.70 % [INFO] Type checking passed. 2.47/1.71 % [CONFIG] Using configuration: timeout(120) with strategy. Searching for refutation ... 3.31/2.14 % External prover 'e' found a proof! 3.31/2.14 % [INFO] Killing All external provers ... 3.31/2.14 % Time passed: 1721ms (effective reasoning time: 985ms) 3.31/2.14 % Solved by strategy 3.31/2.15 % Axioms used in derivation (0): 3.31/2.15 % No. of inferences in proof: 4 3.31/2.15 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1721 ms resp. 985 ms w/o parsing 3.58/2.23 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p 3.58/2.23 thf(mu_type, type, mu: $tType). 3.58/2.23 thf(mimplies_type, type, mimplies: (($i > $o) > (($i > $o) > ($i > $o)))). 3.58/2.23 thf(mimplies_def, definition, (mimplies = (^ [A:($i > $o)]: (mor @ (mnot @ A))))). 3.58/2.23 thf(mforall_prop_type, type, mforall_prop: ((($i > $o) > ($i > $o)) > ($i > $o))). 3.58/2.23 thf(mforall_prop_def, definition, (mforall_prop = (^ [A:(($i > $o) > ($i > $o)),B:$i]: ! [C:($i > $o)]: (A @ C @ B)))). 3.58/2.23 thf(mbox_type, type, mbox: (($i > ($i > $o)) > (($i > $o) > ($i > $o)))). 3.58/2.23 thf(mbox_def, definition, (mbox = (^ [A:($i > ($i > $o)),B:($i > $o),C:$i]: ! [D:$i]: (~ (A @ C @ D) | (B @ D))))). 3.58/2.23 thf(mdia_type, type, mdia: (($i > ($i > $o)) > (($i > $o) > ($i > $o)))). 3.58/2.23 thf(mdia_def, definition, (mdia = (^ [A:($i > ($i > $o)),B:($i > $o)]: (mnot @ (mbox @ A @ (mnot @ B)))))). 3.58/2.23 thf(mweakly_directed_type, type, mweakly_directed: (($i > ($i > $o)) > $o)). 3.58/2.23 thf(mweakly_directed_def, definition, (mweakly_directed = (^ [A:($i > ($i > $o))]: ! [B:$i,C:$i,D:$i]: (((A @ B @ C) & (A @ B @ D)) => (? [E:$i]: ((A @ C @ E) & (A @ D @ E))))))). 3.58/2.23 thf(mvalid_type, type, mvalid: (($i > $o) > $o)). 3.58/2.23 thf(mvalid_def, definition, (mvalid = (('!') @ $i))). 3.58/2.23 thf(1,conjecture,((! [A:($i > ($i > $o))]: ((mvalid @ (mforall_prop @ (^ [B:($i > $o)]: (mimplies @ (mdia @ A @ (mbox @ A @ B)) @ (mbox @ A @ (mdia @ A @ B)))))) <= (mweakly_directed @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)). 3.58/2.23 thf(2,negated_conjecture,((~ (! [A:($i > ($i > $o))]: ((mvalid @ (mforall_prop @ (^ [B:($i > $o)]: (mimplies @ (mdia @ A @ (mbox @ A @ B)) @ (mbox @ A @ (mdia @ A @ B)))))) <= (mweakly_directed @ A))))),inference(neg_conjecture,[status(cth)],[1])). 3.58/2.23 thf(3,plain,((~ (! [A:($i > ($i > $o))]: (! [B:$i,C:($i > $o)]: (! [D:$i]: (~ (A @ B @ D) | ~ (! [E:$i]: (~ (A @ D @ E) | (C @ E)))) | ! [D:$i]: (~ (A @ B @ D) | ~ (! [E:$i]: (~ (A @ D @ E) | ~ (C @ E))))) | ~ (! [B:$i,C:$i,D:$i]: (((A @ B @ C) & (A @ B @ D)) => (? [E:$i]: ((A @ C @ E) & (A @ D @ E))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 3.58/2.23 thf(13,plain,(($false)),inference(e,[status(thm)],[3])). 3.58/2.23 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p 3.58/2.23 % [INFO] Killing All external provers ... 3.58/2.25 EOF