0.00/0.00 % Leo-III: Strategy 1 (for '60') 3.57/3.64 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 3.57/3.64 % [INFO] Parsing done (111ms). 3.57/3.64 % [INFO] Running in sequential loop mode. 3.57/3.64 % [CONFIG] Using configuration: timeout(60) with strategy 3.57/3.64 % [INFO] eprover registered as external prover. 3.57/3.64 % [INFO] cvc4 registered as external prover. 3.57/3.64 % [INFO] Parsing finished. Scanning for conjecture ... 3.57/3.64 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ... 3.57/3.64 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms). 3.57/3.64 % [INFO] Problem is higher-order (TPTP THF). 3.57/3.64 % [INFO] Type checking passed. Searching for refutation ... 3.57/3.64 % External prover 'cvc4' found a proof! 3.57/3.64 % [INFO] Killing All external provers ... 3.57/3.64 % Time passed: 1234ms (effective reasoning time: 773ms) 3.57/3.64 % Solved by strategy 3.57/3.64 % Axioms used in derivation (0): 3.57/3.64 % No. of inferences in proof: 4 3.57/3.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1234 ms resp. 773 ms w/o parsing 3.57/3.64 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 3.57/3.64 thf(in_type, type, in: ($i > ($i > $o))). 3.57/3.64 thf(setunion_type, type, setunion: ($i > $i)). 3.57/3.64 thf(dsetconstr_type, type, dsetconstr: ($i > (($i > $o) > $i))). 3.57/3.64 thf(singleton_type, type, singleton: ($i > $o)). 3.57/3.64 thf(iffalseProp1_type, type, iffalseProp1: $o). 3.57/3.64 thf(iffalseProp1_def, definition, (iffalseProp1 = (! [A:$i,B:$o,C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ A) => ((~ (B)) => (in @ D @ (dsetconstr @ A @ (^ [E:$i]: (((B) & (E = C)) | (~ (B) & (E = D))))))))))))). 3.57/3.64 thf(ifSingleton_type, type, ifSingleton: $o). 3.57/3.64 thf(ifSingleton_def, definition, (ifSingleton = (! [A:$i,B:$o,C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ A) => (singleton @ (dsetconstr @ A @ (^ [E:$i]: (((B) & (E = C)) | (~ (B) & (E = D)))))))))))). 3.57/3.64 thf(if_type, type, if: ($i > ($o > ($i > ($i > $i))))). 3.57/3.64 thf(if_def, definition, (if = (^ [A:$i,B:$o,C:$i,D:$i]: (setunion @ (dsetconstr @ A @ (^ [E:$i]: (((B) & (E = C)) | (~ (B) & (E = D))))))))). 3.57/3.64 thf(theeq_type, type, theeq: $o). 3.57/3.64 thf(theeq_def, definition, (theeq = (! [A:$i]: ((singleton @ A) => (! [B:$i]: ((in @ B @ A) => ((setunion @ A) = B))))))). 3.57/3.64 thf(1,conjecture,((((ifSingleton) => ((! [A:$i,B:$o,C:$i]: ((in @ C @ A) => (! [D:$i]: ((((if @ A @ B @ C @ D) = D) <= (~ (B))) <= (in @ D @ A))))) <= (theeq))) <= (iffalseProp1))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iffalse)). 3.57/3.64 thf(2,negated_conjecture,((~ (((ifSingleton) => ((! [A:$i,B:$o,C:$i]: ((in @ C @ A) => (! [D:$i]: ((((if @ A @ B @ C @ D) = D) <= (~ (B))) <= (in @ D @ A))))) <= (theeq))) <= (iffalseProp1)))),inference(neg_conjecture,[status(cth)],[1])). 3.57/3.64 thf(3,plain,((~ (((! [A:$i,B:$o,C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ A) => (singleton @ (dsetconstr @ A @ (^ [E:$i]: (((B) & (E = C)) | (~ (B) & (E = D)))))))))) => (! [A:$i,B:$o,C:$i]: ((in @ C @ A) => (! [D:$i]: (((setunion @ (dsetconstr @ A @ (^ [E:$i]: (((B) & (E = C)) | (~ (B) & (E = D)))))) = D) | (B) | ~ (in @ D @ A)))) | ~ (! [A:$i]: ((singleton @ A) => (! [B:$i]: ((in @ B @ A) => ((setunion @ A) = B))))))) | ~ (! [A:$i,B:$o,C:$i]: ((in @ C @ A) => (! [D:$i]: ((in @ D @ A) => ((~ (B)) => (in @ D @ (dsetconstr @ A @ (^ [E:$i]: (((B) & (E = C)) | (~ (B) & (E = D)))))))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 3.57/3.64 thf(17,plain,($false),inference(cvc4,[status(thm)],[3])). 3.57/3.64 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 3.57/3.64 % [INFO] Killing All external provers ... 3.57/3.64 FINAL WATCH: 3.4 CPU 1.5 WC 3.57/3.64 Killed 1 orphans 3.57/3.64 Killed 1 orphans 3.57/3.64 EOF