0.00/0.00 % Leo-III: Strategy 1 (for '60') 4.50/6.77 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 4.50/6.77 % [INFO] Parsing done (116ms). 4.50/6.77 % [INFO] Running in sequential loop mode. 4.50/6.77 % [CONFIG] Using configuration: timeout(60) with strategy 4.50/6.77 % [INFO] eprover registered as external prover. 4.50/6.77 % [INFO] cvc4 registered as external prover. 4.50/6.77 % [INFO] Parsing finished. Scanning for conjecture ... 4.50/6.77 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ... 4.50/6.77 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms). 4.50/6.77 % [INFO] Problem is higher-order (TPTP THF). 4.50/6.77 % [INFO] Type checking passed. Searching for refutation ... 4.50/6.77 % External prover 'e' found a proof! 4.50/6.77 % [INFO] Killing All external provers ... 4.50/6.77 % Time passed: 1490ms (effective reasoning time: 1023ms) 4.50/6.77 % Solved by strategy 4.50/6.77 % Axioms used in derivation (0): 4.50/6.77 % No. of inferences in proof: 4 4.50/6.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1490 ms resp. 1023 ms w/o parsing 4.50/6.77 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 4.50/6.77 thf(in_type, type, in: ($i > ($i > $o))). 4.50/6.77 thf(emptyset_type, type, emptyset: $i). 4.50/6.77 thf(setadjoin_type, type, setadjoin: ($i > ($i > $i))). 4.50/6.77 thf(setunion_type, type, setunion: ($i > $i)). 4.50/6.77 thf(dsetconstr_type, type, dsetconstr: ($i > (($i > $o) > $i))). 4.50/6.77 thf(dsetconstrER_type, type, dsetconstrER: $o). 4.50/6.77 thf(dsetconstrER_def, definition, (dsetconstrER = (! [A:$i,B:($i > $o),C:$i]: ((in @ C @ (dsetconstr @ A @ (B))) => (B @ C))))). 4.50/6.77 thf(kpair_type, type, kpair: ($i > ($i > $i))). 4.50/6.77 thf(kpair_def, definition, (kpair = (^ [A:$i,B:$i]: (setadjoin @ (setadjoin @ A @ emptyset) @ (setadjoin @ (setadjoin @ A @ (setadjoin @ B @ emptyset)) @ emptyset))))). 4.50/6.77 thf(kpairp_type, type, kpairp: $o). 4.50/6.77 thf(kpairp_def, definition, (kpairp = (! [A:$i,B:$i]: (iskpair @ (kpair @ A @ B))))). 4.50/6.77 thf(theprop_type, type, theprop: $o). 4.50/6.77 thf(theprop_def, definition, (theprop = (! [A:$i]: ((singleton @ A) => (in @ (setunion @ A) @ A))))). 4.50/6.77 thf(kfst_type, type, kfst: ($i > $i)). 4.50/6.77 thf(setukpairinjR_type, type, setukpairinjR: $o). 4.50/6.77 thf(setukpairinjR_def, definition, (setukpairinjR = (! [A:$i,B:$i,C:$i,D:$i]: (((kpair @ A @ B) = (kpair @ C @ D)) => (B = D))))). 4.50/6.77 thf(ksndsingleton_type, type, ksndsingleton: $o). 4.50/6.77 thf(ksndsingleton_def, definition, (ksndsingleton = (! [A:$i]: ((iskpair @ A) => (singleton @ (dsetconstr @ (setunion @ A) @ (^ [B:$i]: (A = (kpair @ (kfst @ A) @ B))))))))). 4.50/6.77 thf(ksnd_type, type, ksnd: ($i > $i)). 4.50/6.77 thf(ksnd_def, definition, (ksnd = (^ [A:$i]: (setunion @ (dsetconstr @ (setunion @ A) @ (^ [B:$i]: (A = (kpair @ (kfst @ A) @ B)))))))). 4.50/6.77 thf(1,conjecture,(((dsetconstrER) => ((((setukpairinjR) => ((ksndsingleton) => (! [A:$i,B:$i]: ((ksnd @ (kpair @ A @ B)) = B)))) <= (theprop)) <= (kpairp)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ksndpairEq)). 4.50/6.77 thf(2,negated_conjecture,((~ ((dsetconstrER) => ((((setukpairinjR) => ((ksndsingleton) => (! [A:$i,B:$i]: ((ksnd @ (kpair @ A @ B)) = B)))) <= (theprop)) <= (kpairp))))),inference(neg_conjecture,[status(cth)],[1])). 4.50/6.77 thf(3,plain,((~ ((! [A:$i,B:($i > $o),C:$i]: ((in @ C @ (dsetconstr @ A @ (B))) => (B @ C))) => (((! [A:$i,B:$i,C:$i,D:$i]: (((setadjoin @ (setadjoin @ A @ emptyset) @ (setadjoin @ (setadjoin @ A @ (setadjoin @ B @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ C @ emptyset) @ (setadjoin @ (setadjoin @ C @ (setadjoin @ D @ emptyset)) @ emptyset))) => (B = D))) => ((! [A:$i]: ((? [B:$i]: ((in @ B @ (setunion @ A)) & ? [C:$i]: ((in @ C @ (setunion @ A)) & (A = (setadjoin @ (setadjoin @ B @ emptyset) @ (setadjoin @ (setadjoin @ B @ (setadjoin @ C @ emptyset)) @ emptyset)))))) => (? [B:$i]: ((in @ B @ (dsetconstr @ (setunion @ A) @ (^ [C:$i]: (A = (setadjoin @ (setadjoin @ (kfst @ A) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ A) @ (setadjoin @ C @ emptyset)) @ emptyset)))))) & ((dsetconstr @ (setunion @ A) @ (^ [C:$i]: (A = (setadjoin @ (setadjoin @ (kfst @ A) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ A) @ (setadjoin @ C @ emptyset)) @ emptyset))))) = (setadjoin @ B @ emptyset)))))) => (! [A:$i,B:$i]: ((setunion @ (dsetconstr @ (setunion @ (setadjoin @ (setadjoin @ A @ emptyset) @ (setadjoin @ (setadjoin @ A @ (setadjoin @ B @ emptyset)) @ emptyset))) @ (^ [C:$i]: ((setadjoin @ (setadjoin @ A @ emptyset) @ (setadjoin @ (setadjoin @ A @ (setadjoin @ B @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ A @ emptyset) @ (setadjoin @ (setadjoin @ A @ (setadjoin @ B @ emptyset)) @ emptyset))) @ emptyset) @ (setadjoin @ (setadjoin @ (kfst @ (setadjoin @ (setadjoin @ A @ emptyset) @ (setadjoin @ (setadjoin @ A @ (setadjoin @ B @ emptyset)) @ emptyset))) @ (setadjoin @ C @ emptyset)) @ emptyset)))))) = B)))) | ~ (! [A:$i]: ((? [B:$i]: ((in @ B @ A) & (A = (setadjoin @ B @ emptyset)))) => (in @ (setunion @ A) @ A))) | ~ (! [A:$i,B:$i]: ? [C:$i]: ((in @ C @ (setunion @ (setadjoin @ (setadjoin @ A @ emptyset) @ (setadjoin @ (setadjoin @ A @ (setadjoin @ B @ emptyset)) @ emptyset)))) & ? [D:$i]: ((in @ D @ (setunion @ (setadjoin @ (setadjoin @ A @ emptyset) @ (setadjoin @ (setadjoin @ A @ (setadjoin @ B @ emptyset)) @ emptyset)))) & ((setadjoin @ (setadjoin @ A @ emptyset) @ (setadjoin @ (setadjoin @ A @ (setadjoin @ B @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ C @ emptyset) @ (setadjoin @ (setadjoin @ C @ (setadjoin @ D @ emptyset)) @ emptyset)))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 4.50/6.77 thf(62,plain,($false),inference(e,[status(thm)],[3])). 4.50/6.77 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 4.50/6.77 % [INFO] Killing All external provers ... 4.50/6.77 FINAL WATCH: 4.4 CPU 1.7 WC 4.50/6.77 Killed 1 orphans 4.50/6.77 Killed 2 orphans 4.50/6.77 Killed 1 orphans 4.50/6.77 Killed 1 orphans 4.50/6.77 EOF