0.00/0.00 % Leo-III: Strategy 1 (for '60') 3.50/5.74 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 3.50/5.74 % [INFO] Parsing done (100ms). 3.50/5.74 % [INFO] Running in sequential loop mode. 3.50/5.74 % [CONFIG] Using configuration: timeout(60) with strategy 3.50/5.74 % [INFO] eprover registered as external prover. 3.50/5.74 % [INFO] cvc4 registered as external prover. 3.50/5.74 % [INFO] Parsing finished. Scanning for conjecture ... 3.50/5.74 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ... 3.50/5.74 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms). 3.50/5.74 % [INFO] Problem is higher-order (TPTP THF). 3.50/5.74 % [INFO] Type checking passed. Searching for refutation ... 3.50/5.74 % [INFO] Killing All external provers ... 3.50/5.74 % Time passed: 1311ms (effective reasoning time: 862ms) 3.50/5.74 % Solved by strategy 3.50/5.74 % Axioms used in derivation (0): 3.50/5.74 % No. of inferences in proof: 11 3.50/5.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1311 ms resp. 862 ms w/o parsing 3.50/5.74 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 3.50/5.74 thf(a_type, type, a: $tType). 3.50/5.74 thf(sk1_type, type, sk1: ((a > $o) > $o)). 3.50/5.74 thf(sk2_type, type, sk2: (((a > $o) > a) > (a > $o))). 3.50/5.74 thf(sk3_type, type, sk3: ((a > $o) > a)). 3.50/5.74 thf(1,conjecture,(((! [A:((a > $o) > $o)]: ((? [B:((a > $o) > a)]: ! [C:(a > $o)]: ((A @ C) => (C @ (B @ C)))) <= (! [B:(a > $o)]: ((? [C:a]: (B @ C)) <= (A @ B))))) <= (! [A:((a > $o) > (a > $o))]: ? [B:((a > $o) > a)]: ! [C:(a > $o)]: ((? [D:a]: (A @ C @ D)) => (A @ C @ (B @ C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM533)). 3.50/5.74 thf(2,negated_conjecture,((~ ((! [A:((a > $o) > $o)]: ((? [B:((a > $o) > a)]: ! [C:(a > $o)]: ((A @ C) => (C @ (B @ C)))) <= (! [B:(a > $o)]: ((? [C:a]: (B @ C)) <= (A @ B))))) <= (! [A:((a > $o) > (a > $o))]: ? [B:((a > $o) > a)]: ! [C:(a > $o)]: ((? [D:a]: (A @ C @ D)) => (A @ C @ (B @ C))))))),inference(neg_conjecture,[status(cth)],[1])). 3.50/5.74 thf(3,plain,((~ (! [A:((a > $o) > $o)]: (? [B:((a > $o) > a)]: ! [C:(a > $o)]: ((A @ (C)) => (C @ (B @ (C)))) | ~ (! [B:(a > $o)]: (? [C:a]: (B @ C) | ~ (A @ (B))))) | ~ (! [A:((a > $o) > (a > $o))]: ? [B:((a > $o) > a)]: ! [C:(a > $o)]: ((? [D:a]: (A @ (C) @ D)) => (A @ (C) @ (B @ (C)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 3.50/5.74 thf(7,plain,(! [A:((a > $o) > a)] : ((sk1 @ (sk2 @ (A))))),inference(cnf,[status(esa)],[3])). 3.50/5.74 thf(5,plain,(! [A:(a > $o)] : ((A @ (sk3 @ (A))) | (~ (sk1 @ (A))))),inference(cnf,[status(esa)],[3])). 3.50/5.74 thf(9,plain,(! [A:(a > $o)] : ((A @ (sk3 @ (A))) | (~ (sk1 @ (A))))),inference(simp,[status(thm)],[5])). 3.50/5.74 thf(13,plain,(! [B:(a > $o),A:((a > $o) > a)] : ((B @ (sk3 @ (B))) | ((sk1 @ (sk2 @ (A))) != (sk1 @ (B))))),inference(paramod_ordered,[status(thm)],[7,9])). 3.50/5.74 thf(14,plain,(! [A:((a > $o) > a)] : ((sk2 @ (A) @ (sk3 @ (sk2 @ (A)))))),inference(pattern_uni,[status(thm)],[13:[bind(A, $thf(A)),bind(B, $thf(sk2 @ (A)))]])). 3.50/5.74 thf(6,plain,(! [A:((a > $o) > a)] : ((~ (sk2 @ (A) @ (A @ (sk2 @ (A))))))),inference(cnf,[status(esa)],[3])). 3.50/5.74 thf(44,plain,(! [B:((a > $o) > a),A:((a > $o) > a)] : (((sk2 @ (A) @ (sk3 @ (sk2 @ (A)))) != (sk2 @ (B) @ (B @ (sk2 @ (B))))))),inference(paramod_ordered,[status(thm)],[14,6])). 3.50/5.74 thf(45,plain,($false),inference(pre_uni,[status(thm)],[44:[bind(A, $thf(sk3)),bind(B, $thf(sk3))]])). 3.50/5.74 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 3.50/5.74 % [INFO] Killing All external provers ... 3.50/5.74 FINAL WATCH: 3.3 CPU 1.5 WC 3.50/5.74 Killed 1 orphans 3.50/5.74 Killed 2 orphans 3.50/5.74 Killed 1 orphans 3.50/5.74 EOF