0.00/0.00 % Leo-III: Strategy 1 (for '60') 4.45/6.24 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 4.45/6.24 % [INFO] Parsing done (145ms). 4.45/6.24 % [INFO] Running in sequential loop mode. 4.45/6.24 % [CONFIG] Using configuration: timeout(60) with strategy 4.45/6.24 % [INFO] eprover registered as external prover. 4.45/6.24 % [INFO] cvc4 registered as external prover. 4.45/6.24 % [INFO] Parsing finished. Scanning for conjecture ... 4.45/6.24 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ... 4.45/6.24 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms). 4.45/6.24 % [INFO] Problem is higher-order (TPTP THF). 4.45/6.24 % [INFO] Type checking passed. Searching for refutation ... 4.45/6.24 % [INFO] Killing All external provers ... 4.45/6.24 % Time passed: 1790ms (effective reasoning time: 1180ms) 4.45/6.24 % Solved by strategy 4.45/6.24 % Axioms used in derivation (0): 4.45/6.24 % No. of inferences in proof: 19 4.45/6.24 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1790 ms resp. 1180 ms w/o parsing 4.45/6.24 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 4.45/6.24 thf(a_type, type, a: $tType). 4.45/6.24 thf(b_type, type, b: $tType). 4.45/6.24 thf(sk2_type, type, sk2: ((b > a) > b)). 4.45/6.24 thf(sk3_type, type, sk3: ((b > a) > b)). 4.45/6.24 thf(sk4_type, type, sk4: (a > b)). 4.45/6.24 thf(sk5_type, type, sk5: (b > a)). 4.45/6.24 thf(1,conjecture,(((? [A:((a > $o) > a)]: ! [B:(a > $o)]: ((B @ (A @ B)) <= (? [C:a]: (B @ C)))) => ((? [A:(b > a)]: ! [B:b,C:b]: (((A @ B) = (A @ C)) => (B = C))) <= (? [A:(a > b)]: ! [B:b]: ? [C:a]: ((A @ C) = B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM607_pme)). 4.45/6.24 thf(2,negated_conjecture,((~ ((? [A:((a > $o) > a)]: ! [B:(a > $o)]: ((B @ (A @ B)) <= (? [C:a]: (B @ C)))) => ((? [A:(b > a)]: ! [B:b,C:b]: (((A @ B) = (A @ C)) => (B = C))) <= (? [A:(a > b)]: ! [B:b]: ? [C:a]: ((A @ C) = B)))))),inference(neg_conjecture,[status(cth)],[1])). 4.45/6.24 thf(3,plain,((~ ((? [A:((a > $o) > a)]: ! [B:(a > $o)]: ((B @ (A @ (B))) | ~ (? [C:a]: (B @ C)))) => (? [A:(b > a)]: ! [B:b,C:b]: (((A @ B) = (A @ C)) => (B = C)) | ~ (? [A:(a > b)]: ! [B:b]: ? [C:a]: ((A @ C) = B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 4.45/6.24 thf(6,plain,(! [A:(b > a)] : (((A @ (sk2 @ (A))) = (A @ (sk3 @ (A)))))),inference(cnf,[status(esa)],[3])). 4.45/6.24 thf(12,plain,(! [A:(b > a)] : (((A @ (sk3 @ (A))) = (A @ (sk2 @ (A)))))),inference(lifteq,[status(thm)],[6])). 4.45/6.24 thf(13,plain,(! [A:(b > a)] : (((A @ (sk3 @ (A))) = (A @ (sk2 @ (A)))))),inference(simp,[status(thm)],[12])). 4.45/6.24 thf(4,plain,(! [A:b] : (((sk4 @ (sk5 @ A)) = A))),inference(cnf,[status(esa)],[3])). 4.45/6.24 thf(8,plain,(! [A:b] : (((sk4 @ (sk5 @ A)) = A))),inference(lifteq,[status(thm)],[4])). 4.45/6.24 thf(9,plain,(! [A:b] : (((sk4 @ (sk5 @ A)) = A))),inference(simp,[status(thm)],[8])). 4.45/6.24 thf(16,plain,(! [B:b,A:(b > a)] : (((sk4 @ (A @ (sk2 @ (A)))) = B) | ((A @ (sk3 @ (A))) != (sk5 @ B)))),inference(paramod_ordered,[status(thm)],[13,9])). 4.45/6.24 thf(17,plain,(! [A:(b > b)] : (((sk4 @ (sk5 @ (A @ (sk2 @ (^ [B:b]: (sk5 @ (A @ B))))))) = (A @ (sk3 @ (^ [B:b]: (sk5 @ (A @ B)))))))),inference(pre_uni,[status(thm)],[16:[bind(A, $thf(^ [D:b]: (sk5 @ (C @ D)))),bind(B, $thf(C @ (sk3 @ (^ [D:b]: (sk5 @ (C @ D))))))]])). 4.45/6.24 thf(18,plain,(! [A:(b > b)] : (((sk4 @ (sk5 @ (A @ (sk2 @ (^ [B:b]: (sk5 @ (A @ B))))))) = (A @ (sk3 @ (^ [B:b]: (sk5 @ (A @ B)))))))),inference(simp,[status(thm)],[17])). 4.45/6.24 thf(19,plain,(! [A:(b > b)] : (((A @ (sk3 @ (^ [B:b]: (sk5 @ (A @ B))))) = (A @ (sk2 @ (^ [B:b]: (sk5 @ (A @ B)))))))),inference(rewrite,[status(thm)],[18,9])). 4.45/6.24 thf(5,plain,(! [A:(b > a)] : ((~ ((sk2 @ (A)) = (sk3 @ (A)))))),inference(cnf,[status(esa)],[3])). 4.45/6.24 thf(10,plain,(! [A:(b > a)] : (((sk3 @ (A)) != (sk2 @ (A))))),inference(lifteq,[status(thm)],[5])). 4.45/6.24 thf(11,plain,(! [A:(b > a)] : (((sk3 @ (A)) != (sk2 @ (A))))),inference(simp,[status(thm)],[10])). 4.45/6.24 thf(23,plain,(! [B:(b > a),A:(b > b)] : (((A @ (sk2 @ (^ [C:b]: (sk5 @ (A @ C))))) != (sk2 @ (B))) | ((A @ (sk3 @ (^ [C:b]: (sk5 @ (A @ C))))) != (sk3 @ (B))))),inference(paramod_ordered,[status(thm)],[19,11])). 4.45/6.24 thf(32,plain,(((sk2 @ (sk5)) != (sk2 @ (sk5)))),inference(pre_uni,[status(thm)],[23:[bind(A, $thf(^ [C:b]: (C))),bind(B, $thf(sk5))]])). 4.45/6.24 thf(33,plain,($false),inference(pattern_uni,[status(thm)],[32:[]])). 4.45/6.24 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 4.45/6.24 % [INFO] Killing All external provers ... 4.45/6.24 FINAL WATCH: 4.2 CPU 2.0 WC 4.45/6.24 Killed 1 orphans 4.45/6.24 Killed 2 orphans 4.45/6.24 Killed 1 orphans 4.45/6.24 EOF