0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.12 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 180 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39 0.22/0.46 % Computer : n011.cluster.edu 0.22/0.46 % Model : x86_64 x86_64 0.22/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.22/0.46 % Memory : 8046.5625MB 0.22/0.46 % OS : Linux 6.8.0-71-generic 0.22/0.46 % CPULimit : 1440 0.22/0.46 % WCLimit : 180 0.22/0.46 % DateTime : Mon Jul 27 12:03:51 UTC 2026 0.22/0.47 % CPUTime : 0.22/0.47 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 180 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39 1.43/1.32 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 1.96/1.64 % [INFO] Parsing done (312ms). 1.96/1.66 % [INFO] Running in sequential loop mode. 3.02/2.28 % [INFO] eprover registered as external prover. 3.02/2.29 % [INFO] Scanning for conjecture ... 3.42/2.47 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 3.61/2.51 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms). 3.61/2.52 % [INFO] Problem is higher-order (TPTP THF). 3.61/2.52 % [INFO] Type checking passed. 3.61/2.53 % [CONFIG] Using configuration: timeout(180) with strategy. Searching for refutation ... 5.92/3.53 % [INFO] Killing All external provers ... 5.92/3.53 % Time passed: 2849ms (effective reasoning time: 1858ms) 5.92/3.53 % Solved by strategy 5.92/3.54 % Axioms used in derivation (0): 5.92/3.54 % No. of inferences in proof: 18 5.92/3.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2849 ms resp. 1858 ms w/o parsing 6.24/3.64 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 6.24/3.64 thf(union_decl, type, union: (($i > $o) > (($i > $o) > ($i > $o)))). 6.24/3.64 thf(intersection_decl, type, intersection: (($i > $o) > (($i > $o) > ($i > $o)))). 6.24/3.64 thf(setminus_decl, type, setminus: (($i > $o) > (($i > $o) > ($i > $o)))). 6.24/3.64 thf(sk1_decl, type, sk1: ($i > $o)). 6.24/3.64 thf(sk2_decl, type, sk2: ($i > $o)). 6.24/3.64 thf(sk3_decl, type, sk3: ($i > $o)). 6.24/3.64 thf(sk4_decl, type, sk4: $i). 6.24/3.64 thf(union_def, definition, union = (^ [A:($i > $o),B:($i > $o),C:$i]: ((A @ C) | (B @ C))) ). 6.24/3.64 thf(intersection_def, definition, intersection = (^ [A:($i > $o),B:($i > $o),C:$i]: ((A @ C) & (B @ C))) ). 6.24/3.64 thf(setminus_def, definition, setminus = (^ [A:($i > $o),B:($i > $o),C:$i]: ((A @ C) & ~ (B @ C))) ). 6.24/3.64 thf(sk1_def, definition, sk1 = (@+ [A:($i > $o)]: ~ (! [B:($i > $o),C:($i > $o)]: ((^ [D:$i]: ((A @ D) & ~ ((B @ D) & ~ (C @ D)))) = (^ [D:$i]: (((A @ D) & ~ (B @ D)) | ((A @ D) & (C @ D))))))) ). 6.24/3.64 thf(sk2_def, definition, sk2 = (@+ [A:($i > $o)]: ~ (! [B:($i > $o)]: ((^ [C:$i]: ((sk1 @ C) & ~ ((A @ C) & ~ (B @ C)))) = (^ [C:$i]: (((sk1 @ C) & ~ (A @ C)) | ((sk1 @ C) & (B @ C))))))) ). 6.24/3.64 thf(sk3_def, definition, sk3 = (@+ [A:($i > $o)]: ~ ((^ [B:$i]: ((sk1 @ B) & ~ ((sk2 @ B) & ~ (A @ B)))) = (^ [B:$i]: (((sk1 @ B) & ~ (sk2 @ B)) | ((sk1 @ B) & (A @ B)))))) ). 6.24/3.64 thf(1,conjecture,((! [A:($i > $o),B:($i > $o),C:($i > $o)]: ((setminus @ A @ (setminus @ B @ C)) = (union @ (setminus @ A @ B) @ (intersection @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)). 6.24/3.64 thf(2,negated_conjecture,((~ (! [A:($i > $o),B:($i > $o),C:($i > $o)]: ((setminus @ A @ (setminus @ B @ C)) = (union @ (setminus @ A @ B) @ (intersection @ A @ C)))))),inference(neg_conjecture,[status(cth)],[1])). 6.24/3.64 thf(3,plain,((~ (! [A:($i > $o),B:($i > $o),C:($i > $o)]: ((^ [D:$i]: ((A @ D) & ~ ((B @ D) & ~ (C @ D)))) = (^ [D:$i]: (((A @ D) & ~ (B @ D)) | ((A @ D) & (C @ D)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 6.24/3.64 thf(4,plain,((~ ((^ [A:$i]: ((sk1 @ A) & ~ ((sk2 @ A) & ~ (sk3 @ A)))) = (^ [A:$i]: (((sk1 @ A) & ~ (sk2 @ A)) | ((sk1 @ A) & (sk3 @ A))))))),inference(cnf,[status(esa)],[3])). 6.24/3.64 thf(5,plain,(((^ [A:$i]: ((sk1 @ A) & ~ ((sk2 @ A) & ~ (sk3 @ A)))) != (^ [A:$i]: (((sk1 @ A) & ~ (sk2 @ A)) | ((sk1 @ A) & (sk3 @ A)))))),inference(lifteq,[status(thm)],[4])). 6.24/3.64 thf(6,plain,((((sk1 @ sk4) & ~ ((sk2 @ sk4) & ~ (sk3 @ sk4))) != (((sk1 @ sk4) & ~ (sk2 @ sk4)) | ((sk1 @ sk4) & (sk3 @ sk4))))),inference(func_ext,[status(esa)],[5])). 6.24/3.64 thf(8,plain,(((sk1 @ sk4) & ~ ((sk2 @ sk4) & ~ (sk3 @ sk4))) | (((sk1 @ sk4) & ~ (sk2 @ sk4)) | ((sk1 @ sk4) & (sk3 @ sk4)))),inference(bool_ext,[status(thm)],[6])). 6.24/3.64 thf(16,plain,((((sk1 @ sk4) | (sk1 @ sk4) | (sk1 @ sk4)) & ((sk1 @ sk4) | (sk1 @ sk4) | (sk3 @ sk4)) & ((sk1 @ sk4) | ~ (sk2 @ sk4) | (sk1 @ sk4)) & ((sk1 @ sk4) | ~ (sk2 @ sk4) | (sk3 @ sk4)) & (~ (sk2 @ sk4) | (sk3 @ sk4) | (sk1 @ sk4) | (sk1 @ sk4)) & (~ (sk2 @ sk4) | (sk3 @ sk4) | (sk1 @ sk4) | (sk3 @ sk4)) & (~ (sk2 @ sk4) | (sk3 @ sk4) | ~ (sk2 @ sk4) | (sk1 @ sk4)) & (~ (sk2 @ sk4) | (sk3 @ sk4) | ~ (sk2 @ sk4) | (sk3 @ sk4)))),inference(cnf,[status(esa)],[8])). 6.24/3.64 thf(19,plain,((sk1 @ sk4) | (sk1 @ sk4) | (sk1 @ sk4)),inference(cnfConj,[status(thm)],[16])). 6.24/3.64 thf(31,plain,((sk1 @ sk4)),inference(simp,[status(thm)],[19])). 6.24/3.64 thf(32,plain,((((($true)) & ~ ((sk2 @ sk4) & ~ (sk3 @ sk4))) != (((($true)) & ~ (sk2 @ sk4)) | ((($true)) & (sk3 @ sk4))))),inference(rewrite,[status(thm)],[6,31])). 6.24/3.64 thf(33,plain,(((~ ((sk2 @ sk4) & ~ (sk3 @ sk4))) != (~ (sk2 @ sk4) | (sk3 @ sk4)))),inference(simp,[status(thm)],[32])). 6.24/3.64 thf(34,plain,((~ (~ ((sk2 @ sk4) & ~ (sk3 @ sk4)))) | (~ (~ (sk2 @ sk4) | (sk3 @ sk4)))),inference(bool_ext,[status(thm)],[33])). 6.24/3.64 thf(36,plain,((((sk2 @ sk4) | (sk2 @ sk4)) & ((sk2 @ sk4) | ~ (sk3 @ sk4)) & (~ (sk3 @ sk4) | (sk2 @ sk4)) & (~ (sk3 @ sk4) | ~ (sk3 @ sk4)))),inference(cnf,[status(esa)],[34])). 6.24/3.64 thf(39,plain,((~ (sk3 @ sk4)) | (~ (sk3 @ sk4))),inference(cnfConj,[status(thm)],[36])). 6.24/3.64 thf(41,plain,((~ (sk3 @ sk4))),inference(simp,[status(thm)],[39])). 6.24/3.64 thf(44,plain,(((~ ((sk2 @ sk4) & ~ (($false)))) != (~ (sk2 @ sk4) | (($false))))),inference(rewrite,[status(thm)],[33,41])). 6.24/3.64 thf(45,plain,(($false)),inference(simp,[status(thm)],[44])). 6.24/3.64 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 6.24/3.64 % [INFO] Killing All external provers ... 6.24/3.69 EOF