0.00/0.00 % Leo-III: Strategy 1 (for '60') 3.14/5.54 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 3.14/5.54 % [INFO] Parsing done (102ms). 3.14/5.54 % [INFO] Running in sequential loop mode. 3.14/5.54 % [CONFIG] Using configuration: timeout(60) with strategy 3.14/5.54 % [INFO] eprover registered as external prover. 3.14/5.54 % [INFO] cvc4 registered as external prover. 3.14/5.54 % [INFO] Parsing finished. Scanning for conjecture ... 3.14/5.54 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ... 3.14/5.54 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms). 3.14/5.54 % [INFO] Problem is higher-order (TPTP THF). 3.14/5.54 % [INFO] Type checking passed. Searching for refutation ... 3.14/5.54 % [INFO] Killing All external provers ... 3.14/5.54 % Time passed: 1200ms (effective reasoning time: 729ms) 3.14/5.54 % Solved by strategy 3.14/5.54 % Axioms used in derivation (0): 3.14/5.54 % No. of inferences in proof: 10 3.14/5.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1200 ms resp. 729 ms w/o parsing 3.14/5.54 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 3.14/5.54 thf(cP_type, type, cP: ($i > ($i > $o))). 3.14/5.54 thf(cE_type, type, cE: (($i > $o) > $i)). 3.14/5.54 thf(1,conjecture,((~ (! [A:$i]: (cP @ A @ (cE @ (cP @ A))) & ! [A:($i > $i)]: ~ (cP @ (cE @ (^ [B:$i]: ~ (cP @ B @ (A @ B)))) @ (A @ (cE @ (^ [B:$i]: ~ (cP @ B @ (A @ B))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM19SK1)). 3.14/5.54 thf(2,negated_conjecture,((~ (~ (! [A:$i]: (cP @ A @ (cE @ (cP @ A))) & ! [A:($i > $i)]: ~ (cP @ (cE @ (^ [B:$i]: ~ (cP @ B @ (A @ B)))) @ (A @ (cE @ (^ [B:$i]: ~ (cP @ B @ (A @ B)))))))))),inference(neg_conjecture,[status(cth)],[1])). 3.14/5.54 thf(3,plain,((~ (~ (! [A:$i]: (cP @ A @ (cE @ (cP @ A))) & ! [A:($i > $i)]: ~ (cP @ (cE @ (^ [B:$i]: ~ (cP @ B @ (A @ B)))) @ (A @ (cE @ (^ [B:$i]: ~ (cP @ B @ (A @ B)))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 3.14/5.54 thf(4,plain,((! [A:$i]: (cP @ A @ (cE @ (cP @ A))) & ! [A:($i > $i)]: ~ (cP @ (cE @ (^ [B:$i]: ~ (cP @ B @ (A @ B)))) @ (A @ (cE @ (^ [B:$i]: ~ (cP @ B @ (A @ B)))))))),inference(polarity_switch,[status(thm)],[3])). 3.14/5.54 thf(5,plain,((! [A:$i]: (cP @ A @ (cE @ (cP @ A))) & ~ (? [A:($i > $i)]: (cP @ (cE @ (^ [B:$i]: ~ (cP @ B @ (A @ B)))) @ (A @ (cE @ (^ [B:$i]: ~ (cP @ B @ (A @ B))))))))),inference(miniscope,[status(thm)],[4])). 3.14/5.54 thf(7,plain,(! [A:$i] : ((cP @ A @ (cE @ (cP @ A))))),inference(cnf,[status(esa)],[5])). 3.14/5.54 thf(6,plain,(! [A:($i > $i)] : ((~ (cP @ (cE @ (^ [B:$i]: ~ (cP @ B @ (A @ B)))) @ (A @ (cE @ (^ [B:$i]: ~ (cP @ B @ (A @ B))))))))),inference(cnf,[status(esa)],[5])). 3.14/5.54 thf(8,plain,(! [A:($i > $i)] : ((~ (cP @ (cE @ (^ [B:$i]: ~ (cP @ B @ (A @ B)))) @ (A @ (cE @ (^ [B:$i]: ~ (cP @ B @ (A @ B))))))))),inference(simp,[status(thm)],[6])). 3.14/5.54 thf(9,plain,(! [B:($i > $i),A:$i] : (((cP @ A @ (cE @ (cP @ A))) != (cP @ (cE @ (^ [C:$i]: ~ (cP @ C @ (B @ C)))) @ (B @ (cE @ (^ [C:$i]: ~ (cP @ C @ (B @ C))))))))),inference(paramod_ordered,[status(thm)],[7,8])). 3.14/5.54 thf(10,plain,($false),inference(pre_uni,[status(thm)],[9:[bind(A, $thf(cE @ (^ [C:$i]: ~ (cP @ C @ (cE @ (cP @ C)))))),bind(B, $thf(^ [C:$i]: (cE @ (cP @ C))))]])). 3.14/5.54 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 3.14/5.54 % [INFO] Killing All external provers ... 3.14/5.54 FINAL WATCH: 3.0 CPU 1.5 WC 3.14/5.54 Killed 1 orphans 3.14/5.54 Killed 2 orphans 3.14/5.54 Killed 1 orphans 3.14/5.54 EOF