0.00/0.00 % Leo-III: Strategy 1 (for '60') 3.68/5.03 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 3.68/5.03 % [INFO] Parsing done (161ms). 3.68/5.03 % [INFO] Running in sequential loop mode. 3.68/5.03 % [CONFIG] Using configuration: timeout(60) with strategy 3.68/5.03 % [INFO] eprover registered as external prover. 3.68/5.03 % [INFO] cvc4 registered as external prover. 3.68/5.03 % [INFO] Parsing finished. Scanning for conjecture ... 3.68/5.03 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ... 3.68/5.03 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms). 3.68/5.03 % [INFO] Problem is higher-order (TPTP THF). 3.68/5.03 % [INFO] Type checking passed. Searching for refutation ... 3.68/5.03 % External prover 'e' found a proof! 3.68/5.03 % [INFO] Killing All external provers ... 3.68/5.03 % Time passed: 1658ms (effective reasoning time: 1032ms) 3.68/5.03 % Solved by strategy 3.68/5.03 % Axioms used in derivation (0): 3.68/5.03 % No. of inferences in proof: 4 3.68/5.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1658 ms resp. 1032 ms w/o parsing 3.68/5.03 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 3.68/5.03 thf(cQ_4_type, type, cQ_4: ($i > ($i > ($i > $o)))). 3.68/5.03 thf(f_type, type, f: ($i > $i)). 3.68/5.03 thf(cP_3_type, type, cP_3: ($i > ($i > $o))). 3.68/5.03 thf(cQ_3_type, type, cQ_3: ($i > ($i > ($i > $o)))). 3.68/5.03 thf(d_type, type, d: $i). 3.68/5.03 thf(c_type, type, c: $i). 3.68/5.03 thf(b_type, type, b: $i). 3.68/5.03 thf(a_type, type, a: $i). 3.68/5.03 thf(cP_2_type, type, cP_2: ($i > ($i > $o))). 3.68/5.03 thf(cQ_2_type, type, cQ_2: ($i > ($i > ($i > $o)))). 3.68/5.03 thf(cP_1_type, type, cP_1: ($i > ($i > $o))). 3.68/5.03 thf(cQ_1_type, type, cQ_1: ($i > ($i > ($i > $o)))). 3.68/5.03 thf(1,conjecture,((~ ((cP_1 @ b @ b) & (cP_1 @ c @ c) & ! [A:$i]: (cP_1 @ d @ A) & ! [A:$i,B:$i]: ((cP_1 @ (f @ A) @ B) | ~ (cP_1 @ A @ B)) & ! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((cQ_2 @ D @ E @ F) | ~ (cP_1 @ (f @ C) @ F) | ~ (cP_1 @ (f @ B) @ E) | ~ (cP_1 @ (f @ A) @ D) | ~ (cQ_1 @ A @ B @ C)) & (cP_2 @ a @ a) & ! [A:$i]: (cP_2 @ d @ A) & ! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (~ (cQ_2 @ A @ B @ C) | ~ (cP_2 @ (f @ B) @ E) | (cQ_3 @ D @ E @ F) | ~ (cP_2 @ (f @ C) @ F) | ~ (cP_2 @ (f @ A) @ D)) & (cP_3 @ a @ a) & (cP_3 @ c @ c) & ! [A:$i]: (cP_3 @ d @ A) & ! [A:$i,B:$i]: (~ (cP_3 @ A @ B) | (cP_3 @ (f @ A) @ B)) & ! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (~ (cP_3 @ (f @ B) @ E) | (cQ_4 @ D @ E @ F) | ~ (cP_3 @ (f @ C) @ F) | ~ (cP_3 @ (f @ A) @ D) | ~ (cQ_3 @ A @ B @ C)) & ! [A:$i,B:$i,C:$i]: ~ (cQ_4 @ A @ B @ C) & (cP_3 @ b @ b) & ! [A:$i,B:$i]: (~ (cP_2 @ A @ B) | (cP_2 @ (f @ A) @ B)) & (cP_2 @ c @ c) & (cP_2 @ b @ b) & (cP_1 @ a @ a) & (cQ_1 @ a @ b @ c)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM409_3)). 3.68/5.03 thf(2,negated_conjecture,((~ (~ ((cP_1 @ b @ b) & (cP_1 @ c @ c) & ! [A:$i]: (cP_1 @ d @ A) & ! [A:$i,B:$i]: ((cP_1 @ (f @ A) @ B) | ~ (cP_1 @ A @ B)) & ! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((cQ_2 @ D @ E @ F) | ~ (cP_1 @ (f @ C) @ F) | ~ (cP_1 @ (f @ B) @ E) | ~ (cP_1 @ (f @ A) @ D) | ~ (cQ_1 @ A @ B @ C)) & (cP_2 @ a @ a) & ! [A:$i]: (cP_2 @ d @ A) & ! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (~ (cQ_2 @ A @ B @ C) | ~ (cP_2 @ (f @ B) @ E) | (cQ_3 @ D @ E @ F) | ~ (cP_2 @ (f @ C) @ F) | ~ (cP_2 @ (f @ A) @ D)) & (cP_3 @ a @ a) & (cP_3 @ c @ c) & ! [A:$i]: (cP_3 @ d @ A) & ! [A:$i,B:$i]: (~ (cP_3 @ A @ B) | (cP_3 @ (f @ A) @ B)) & ! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (~ (cP_3 @ (f @ B) @ E) | (cQ_4 @ D @ E @ F) | ~ (cP_3 @ (f @ C) @ F) | ~ (cP_3 @ (f @ A) @ D) | ~ (cQ_3 @ A @ B @ C)) & ! [A:$i,B:$i,C:$i]: ~ (cQ_4 @ A @ B @ C) & (cP_3 @ b @ b) & ! [A:$i,B:$i]: (~ (cP_2 @ A @ B) | (cP_2 @ (f @ A) @ B)) & (cP_2 @ c @ c) & (cP_2 @ b @ b) & (cP_1 @ a @ a) & (cQ_1 @ a @ b @ c))))),inference(neg_conjecture,[status(cth)],[1])). 3.68/5.03 thf(3,plain,((~ (~ ((cP_1 @ b @ b) & (cP_1 @ c @ c) & ! [A:$i]: (cP_1 @ d @ A) & ! [A:$i,B:$i]: ((cP_1 @ (f @ A) @ B) | ~ (cP_1 @ A @ B)) & ! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: ((cQ_2 @ D @ E @ F) | ~ (cP_1 @ (f @ C) @ F) | ~ (cP_1 @ (f @ B) @ E) | ~ (cP_1 @ (f @ A) @ D) | ~ (cQ_1 @ A @ B @ C)) & (cP_2 @ a @ a) & ! [A:$i]: (cP_2 @ d @ A) & ! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (~ (cQ_2 @ A @ B @ C) | ~ (cP_2 @ (f @ B) @ E) | (cQ_3 @ D @ E @ F) | ~ (cP_2 @ (f @ C) @ F) | ~ (cP_2 @ (f @ A) @ D)) & (cP_3 @ a @ a) & (cP_3 @ c @ c) & ! [A:$i]: (cP_3 @ d @ A) & ! [A:$i,B:$i]: (~ (cP_3 @ A @ B) | (cP_3 @ (f @ A) @ B)) & ! [A:$i,B:$i,C:$i,D:$i,E:$i,F:$i]: (~ (cP_3 @ (f @ B) @ E) | (cQ_4 @ D @ E @ F) | ~ (cP_3 @ (f @ C) @ F) | ~ (cP_3 @ (f @ A) @ D) | ~ (cQ_3 @ A @ B @ C)) & ! [A:$i,B:$i,C:$i]: ~ (cQ_4 @ A @ B @ C) & (cP_3 @ b @ b) & ! [A:$i,B:$i]: (~ (cP_2 @ A @ B) | (cP_2 @ (f @ A) @ B)) & (cP_2 @ c @ c) & (cP_2 @ b @ b) & (cP_1 @ a @ a) & (cQ_1 @ a @ b @ c))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 3.68/5.03 thf(35,plain,($false),inference(e,[status(thm)],[3])). 3.68/5.03 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 3.68/5.03 % [INFO] Killing All external provers ... 3.68/5.03 FINAL WATCH: 3.5 CPU 1.9 WC 3.68/5.03 Killed 1 orphans 3.68/5.03 Killed 2 orphans 3.68/5.03 EOF