0.00/0.00 % Leo-III: Strategy 1 (for '60') 6.31/4.90 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 6.31/4.90 % [INFO] Parsing done (201ms). 6.31/4.90 % [INFO] Running in sequential loop mode. 6.31/4.90 % [CONFIG] Using configuration: timeout(60) with strategy 6.31/4.90 % [INFO] eprover registered as external prover. 6.31/4.90 % [INFO] cvc4 registered as external prover. 6.31/4.90 % [INFO] Parsing finished. Scanning for conjecture ... 6.31/4.90 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ... 6.31/4.90 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms). 6.31/4.90 % [INFO] Problem is higher-order (TPTP THF). 6.31/4.90 % [INFO] Type checking passed. Searching for refutation ... 6.31/4.90 % External prover 'cvc4' found a proof! 6.31/4.90 % [INFO] Killing All external provers ... 6.31/4.90 % Time passed: 2493ms (effective reasoning time: 1764ms) 6.31/4.90 % Solved by strategy 6.31/4.90 % Axioms used in derivation (0): 6.31/4.90 % No. of inferences in proof: 4 6.31/4.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2493 ms resp. 1764 ms w/o parsing 6.31/4.90 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 6.31/4.90 thf(a_type, type, a: $tType). 6.31/4.90 thf(1,conjecture,((! [A:(a > (a > $o)),B:(a > (a > $o)),C:a,D:a]: (! [E:(a > $o)]: ((! [F:a,G:a]: ((E @ G) <= (((A @ F @ G) | (B @ F @ G)) & (E @ F))) & ! [F:a]: (((A @ C @ F) | (B @ C @ F)) => (E @ F))) => (E @ D)) | (~ (! [E:(a > $o)]: ((! [F:a,G:a]: ((E @ G) <= (((B @ F @ G) | (A @ F @ G)) & (E @ F))) & ! [F:a]: (((A @ C @ F) | (B @ C @ F)) => (E @ F))) => (E @ D))) & ! [E:a,F:a,G:a]: ((! [H:(a > $o)]: ((! [I:a]: ((H @ I) <= ((A @ E @ I) | (B @ E @ I))) & ! [I:a,J:a]: ((((A @ I @ J) | (B @ I @ J)) & (H @ I)) => (H @ J))) => (H @ G))) <= (! [H:(a > $o)]: ((H @ G) <= (! [I:a,J:a]: ((((A @ I @ J) | (B @ I @ J)) & (H @ I)) => (H @ J)) & ! [I:a]: (((B @ F @ I) | (A @ F @ I)) => (H @ I)))) & ! [H:(a > $o)]: ((H @ F) <= (! [I:a,J:a]: ((((A @ I @ J) | (B @ I @ J)) & (H @ I)) => (H @ J)) & ! [I:a]: ((H @ I) <= ((A @ E @ I) | (B @ E @ I))))))) & ! [E:a,F:a]: ((! [G:(a > $o)]: ((! [H:a]: (((B @ E @ H) | (A @ E @ H)) => (G @ H)) & ! [H:a,I:a]: ((G @ I) <= (((A @ H @ I) | (B @ H @ I)) & (G @ H)))) => (G @ F))) <= (! [G:(a > $o)]: ((! [H:a,I:a]: ((G @ I) <= ((B @ H @ I) & (G @ H))) & ! [H:a]: ((G @ H) <= (B @ E @ H))) => (G @ F)) | ! [G:(a > $o)]: ((! [H:a]: ((G @ H) <= (A @ E @ H)) & ! [H:a,I:a]: ((G @ I) <= ((G @ H) & (A @ H @ I)))) => (G @ F)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM251H_pme)). 6.31/4.90 thf(2,negated_conjecture,((~ (! [A:(a > (a > $o)),B:(a > (a > $o)),C:a,D:a]: (! [E:(a > $o)]: ((! [F:a,G:a]: ((E @ G) <= (((A @ F @ G) | (B @ F @ G)) & (E @ F))) & ! [F:a]: (((A @ C @ F) | (B @ C @ F)) => (E @ F))) => (E @ D)) | (~ (! [E:(a > $o)]: ((! [F:a,G:a]: ((E @ G) <= (((B @ F @ G) | (A @ F @ G)) & (E @ F))) & ! [F:a]: (((A @ C @ F) | (B @ C @ F)) => (E @ F))) => (E @ D))) & ! [E:a,F:a,G:a]: ((! [H:(a > $o)]: ((! [I:a]: ((H @ I) <= ((A @ E @ I) | (B @ E @ I))) & ! [I:a,J:a]: ((((A @ I @ J) | (B @ I @ J)) & (H @ I)) => (H @ J))) => (H @ G))) <= (! [H:(a > $o)]: ((H @ G) <= (! [I:a,J:a]: ((((A @ I @ J) | (B @ I @ J)) & (H @ I)) => (H @ J)) & ! [I:a]: (((B @ F @ I) | (A @ F @ I)) => (H @ I)))) & ! [H:(a > $o)]: ((H @ F) <= (! [I:a,J:a]: ((((A @ I @ J) | (B @ I @ J)) & (H @ I)) => (H @ J)) & ! [I:a]: ((H @ I) <= ((A @ E @ I) | (B @ E @ I))))))) & ! [E:a,F:a]: ((! [G:(a > $o)]: ((! [H:a]: (((B @ E @ H) | (A @ E @ H)) => (G @ H)) & ! [H:a,I:a]: ((G @ I) <= (((A @ H @ I) | (B @ H @ I)) & (G @ H)))) => (G @ F))) <= (! [G:(a > $o)]: ((! [H:a,I:a]: ((G @ I) <= ((B @ H @ I) & (G @ H))) & ! [H:a]: ((G @ H) <= (B @ E @ H))) => (G @ F)) | ! [G:(a > $o)]: ((! [H:a]: ((G @ H) <= (A @ E @ H)) & ! [H:a,I:a]: ((G @ I) <= ((G @ H) & (A @ H @ I)))) => (G @ F))))))))),inference(neg_conjecture,[status(cth)],[1])). 6.31/4.90 thf(3,plain,((~ (! [A:(a > (a > $o)),B:(a > (a > $o)),C:a,D:a]: (! [E:(a > $o)]: ((! [F:a,G:a]: ((E @ G) | ~ (((A @ F @ G) | (B @ F @ G)) & (E @ F))) & ! [F:a]: (((A @ C @ F) | (B @ C @ F)) => (E @ F))) => (E @ D)) | (~ (! [E:(a > $o)]: ((! [F:a,G:a]: ((E @ G) | ~ (((B @ F @ G) | (A @ F @ G)) & (E @ F))) & ! [F:a]: (((A @ C @ F) | (B @ C @ F)) => (E @ F))) => (E @ D))) & ! [E:a,F:a,G:a]: (! [H:(a > $o)]: ((! [I:a]: ((H @ I) | ~ ((A @ E @ I) | (B @ E @ I))) & ! [I:a,J:a]: ((((A @ I @ J) | (B @ I @ J)) & (H @ I)) => (H @ J))) => (H @ G)) | ~ (! [H:(a > $o)]: ((H @ G) | ~ (! [I:a,J:a]: ((((A @ I @ J) | (B @ I @ J)) & (H @ I)) => (H @ J)) & ! [I:a]: (((B @ F @ I) | (A @ F @ I)) => (H @ I)))) & ! [H:(a > $o)]: ((H @ F) | ~ (! [I:a,J:a]: ((((A @ I @ J) | (B @ I @ J)) & (H @ I)) => (H @ J)) & ! [I:a]: ((H @ I) | ~ ((A @ E @ I) | (B @ E @ I))))))) & ! [E:a,F:a]: (! [G:(a > $o)]: ((! [H:a]: (((B @ E @ H) | (A @ E @ H)) => (G @ H)) & ! [H:a,I:a]: ((G @ I) | ~ (((A @ H @ I) | (B @ H @ I)) & (G @ H)))) => (G @ F)) | ~ (! [G:(a > $o)]: ((! [H:a,I:a]: ((G @ I) | ~ ((B @ H @ I) & (G @ H))) & ! [H:a]: ((G @ H) | ~ (B @ E @ H))) => (G @ F)) | ! [G:(a > $o)]: ((! [H:a]: ((G @ H) | ~ (A @ E @ H)) & ! [H:a,I:a]: ((G @ I) | ~ ((G @ H) & (A @ H @ I)))) => (G @ F))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 6.31/4.90 thf(170,plain,($false),inference(cvc4,[status(thm)],[3])). 6.31/4.90 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 6.31/4.90 % [INFO] Killing All external provers ... 6.31/4.90 FINAL WATCH: 6.1 CPU 2.7 WC 6.31/4.90 Killed 1 orphans 6.31/4.90 Killed 1 orphans 6.31/4.90 EOF