0.10/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.13 % Command : run_Leo-III %s %d 0.13/0.34 % Computer : n029.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 05:28:24 EDT 2022 0.13/0.34 % CPUTime : 0.97/1.01 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 1.48/1.24 % [INFO] Parsing done (227ms). 1.48/1.25 % [INFO] Running in sequential loop mode. 1.98/1.63 % [INFO] eprover registered as external prover. 1.98/1.63 % [INFO] cvc4 registered as external prover. 2.16/1.64 % [INFO] Scanning for conjecture ... 2.29/1.76 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ... 2.44/1.80 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms). 2.44/1.80 % [INFO] Problem is higher-order (TPTP THF). 2.44/1.80 % [INFO] Type checking passed. 2.44/1.81 % [CONFIG] Using configuration: timeout(120) with strategy. Searching for refutation ... 19.81/5.45 % [INFO] Killing All external provers ... 19.81/5.46 % Time passed: 4988ms (effective reasoning time: 4199ms) 19.81/5.46 % Solved by strategy 19.81/5.46 % Axioms used in derivation (0): 19.81/5.46 % No. of inferences in proof: 44 19.81/5.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 4988 ms resp. 4199 ms w/o parsing 19.81/5.53 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 19.81/5.53 thf(excl_union_type, type, excl_union: (($i > $o) > (($i > $o) > ($i > $o)))). 19.81/5.53 thf(excl_union_def, definition, (excl_union = (^ [A:($i > $o),B:($i > $o),C:$i]: (((A @ C) & ~ (B @ C)) | (~ (A @ C) & (B @ C)))))). 19.81/5.53 thf(sk1_type, type, sk1: ($i > $o)). 19.81/5.53 thf(sk2_type, type, sk2: ($i > $o)). 19.81/5.53 thf(sk3_type, type, sk3: ($i > $o)). 19.81/5.53 thf(sk4_type, type, sk4: $i). 19.81/5.53 thf(1,conjecture,((! [A:($i > $o),B:($i > $o),C:($i > $o)]: ((excl_union @ (excl_union @ A @ B) @ C) = (excl_union @ A @ (excl_union @ B @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)). 19.81/5.53 thf(2,negated_conjecture,((~ (! [A:($i > $o),B:($i > $o),C:($i > $o)]: ((excl_union @ (excl_union @ A @ B) @ C) = (excl_union @ A @ (excl_union @ B @ C)))))),inference(neg_conjecture,[status(cth)],[1])). 19.81/5.53 thf(3,plain,((~ (! [A:($i > $o),B:($i > $o),C:($i > $o)]: ((^ [D:$i]: (((((A @ D) & ~ (B @ D)) | (~ (A @ D) & (B @ D))) & ~ (C @ D)) | (~ (((A @ D) & ~ (B @ D)) | (~ (A @ D) & (B @ D))) & (C @ D)))) = (^ [D:$i]: (((A @ D) & ~ (((B @ D) & ~ (C @ D)) | (~ (B @ D) & (C @ D)))) | (~ (A @ D) & (((B @ D) & ~ (C @ D)) | (~ (B @ D) & (C @ D)))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 19.81/5.53 thf(4,plain,((~ ((^ [A:$i]: (((((sk1 @ A) & ~ (sk2 @ A)) | (~ (sk1 @ A) & (sk2 @ A))) & ~ (sk3 @ A)) | (~ (((sk1 @ A) & ~ (sk2 @ A)) | (~ (sk1 @ A) & (sk2 @ A))) & (sk3 @ A)))) = (^ [A:$i]: (((sk1 @ A) & ~ (((sk2 @ A) & ~ (sk3 @ A)) | (~ (sk2 @ A) & (sk3 @ A)))) | (~ (sk1 @ A) & (((sk2 @ A) & ~ (sk3 @ A)) | (~ (sk2 @ A) & (sk3 @ A))))))))),inference(cnf,[status(esa)],[3])). 19.81/5.53 thf(5,plain,(((^ [A:$i]: (((sk1 @ A) & ~ (((sk2 @ A) & ~ (sk3 @ A)) | (~ (sk2 @ A) & (sk3 @ A)))) | (~ (sk1 @ A) & (((sk2 @ A) & ~ (sk3 @ A)) | (~ (sk2 @ A) & (sk3 @ A)))))) != (^ [A:$i]: (((((sk1 @ A) & ~ (sk2 @ A)) | (~ (sk1 @ A) & (sk2 @ A))) & ~ (sk3 @ A)) | (~ (((sk1 @ A) & ~ (sk2 @ A)) | (~ (sk1 @ A) & (sk2 @ A))) & (sk3 @ A)))))),inference(lifteq,[status(thm)],[4])). 19.81/5.53 thf(7,plain,(((((sk1 @ sk4) & ~ (((sk2 @ sk4) & ~ (sk3 @ sk4)) | (~ (sk2 @ sk4) & (sk3 @ sk4)))) | (~ (sk1 @ sk4) & (((sk2 @ sk4) & ~ (sk3 @ sk4)) | (~ (sk2 @ sk4) & (sk3 @ sk4))))) != (((((sk1 @ sk4) & ~ (sk2 @ sk4)) | (~ (sk1 @ sk4) & (sk2 @ sk4))) & ~ (sk3 @ sk4)) | (~ (((sk1 @ sk4) & ~ (sk2 @ sk4)) | (~ (sk1 @ sk4) & (sk2 @ sk4))) & (sk3 @ sk4))))),inference(func_ext,[status(esa)],[5])). 19.81/5.53 thf(8,plain,((((sk1 @ sk4) & ~ (((sk2 @ sk4) & ~ (sk3 @ sk4)) | (~ (sk2 @ sk4) & (sk3 @ sk4)))) != ((((sk1 @ sk4) & ~ (sk2 @ sk4)) | (~ (sk1 @ sk4) & (sk2 @ sk4))) & ~ (sk3 @ sk4))) | ((~ (sk1 @ sk4) & (((sk2 @ sk4) & ~ (sk3 @ sk4)) | (~ (sk2 @ sk4) & (sk3 @ sk4)))) != (~ (((sk1 @ sk4) & ~ (sk2 @ sk4)) | (~ (sk1 @ sk4) & (sk2 @ sk4))) & (sk3 @ sk4)))),inference(simp,[status(thm)],[7])). 19.81/5.53 thf(190,plain,(((sk1 @ sk4) & ~ (((sk2 @ sk4) & ~ (sk3 @ sk4)) | (~ (sk2 @ sk4) & (sk3 @ sk4)))) | ((((sk1 @ sk4) & ~ (sk2 @ sk4)) | (~ (sk1 @ sk4) & (sk2 @ sk4))) & ~ (sk3 @ sk4)) | (~ (sk1 @ sk4) & (((sk2 @ sk4) & ~ (sk3 @ sk4)) | (~ (sk2 @ sk4) & (sk3 @ sk4)))) | (~ (((sk1 @ sk4) & ~ (sk2 @ sk4)) | (~ (sk1 @ sk4) & (sk2 @ sk4))) & (sk3 @ sk4))),inference(bool_ext,[status(thm)],[8])). 19.81/5.53 thf(689,plain,((sk3 @ sk4) | (sk2 @ sk4) | (sk3 @ sk4) | (sk1 @ sk4) | (sk2 @ sk4) | (sk1 @ sk4)),inference(cnf,[status(esa)],[190])). 19.81/5.53 thf(903,plain,((sk3 @ sk4) | (sk2 @ sk4) | (sk1 @ sk4)),inference(simp,[status(thm)],[689])). 19.81/5.53 thf(9,plain,((~ (((sk1 @ sk4) & ~ (((sk2 @ sk4) & ~ (sk3 @ sk4)) | (~ (sk2 @ sk4) & (sk3 @ sk4)))) | (~ (sk1 @ sk4) & (((sk2 @ sk4) & ~ (sk3 @ sk4)) | (~ (sk2 @ sk4) & (sk3 @ sk4)))))) | (~ (((((sk1 @ sk4) & ~ (sk2 @ sk4)) | (~ (sk1 @ sk4) & (sk2 @ sk4))) & ~ (sk3 @ sk4)) | (~ (((sk1 @ sk4) & ~ (sk2 @ sk4)) | (~ (sk1 @ sk4) & (sk2 @ sk4))) & (sk3 @ sk4))))),inference(bool_ext,[status(thm)],[7])). 19.81/5.53 thf(20,plain,((sk1 @ sk4) | (sk2 @ sk4) | (~ (sk3 @ sk4)) | (sk1 @ sk4) | (sk2 @ sk4) | (~ (sk3 @ sk4))),inference(cnf,[status(esa)],[9])). 19.81/5.53 thf(52,plain,((sk1 @ sk4) | (sk2 @ sk4) | (~ (sk3 @ sk4))),inference(simp,[status(thm)],[20])). 19.81/5.53 thf(2475,plain,((sk2 @ sk4) | (sk1 @ sk4) | ((sk3 @ sk4) != (sk3 @ sk4))),inference(paramod_ordered,[status(thm)],[903,52])). 19.81/5.53 thf(2476,plain,((sk2 @ sk4) | (sk1 @ sk4)),inference(pattern_uni,[status(thm)],[2475:[]])). 19.81/5.53 thf(25,plain,((sk1 @ sk4) | (~ (sk2 @ sk4)) | (sk3 @ sk4) | (sk1 @ sk4) | (~ (sk2 @ sk4)) | (sk3 @ sk4)),inference(cnf,[status(esa)],[9])). 19.81/5.53 thf(51,plain,((sk1 @ sk4) | (~ (sk2 @ sk4)) | (sk3 @ sk4)),inference(simp,[status(thm)],[25])). 19.81/5.53 thf(2609,plain,((sk1 @ sk4) | (sk3 @ sk4) | ((sk2 @ sk4) != (sk2 @ sk4))),inference(paramod_ordered,[status(thm)],[2476,51])). 19.81/5.53 thf(2610,plain,((sk1 @ sk4) | (sk3 @ sk4)),inference(pattern_uni,[status(thm)],[2609:[]])). 19.81/5.53 thf(2714,plain,((sk1 @ sk4) | ((sk1 @ sk4) & ~ (((sk2 @ sk4) & ~ (sk3 @ sk4)) | (~ (sk2 @ sk4) & (sk3 @ sk4)))) | ((~ (sk1 @ sk4) & (((sk2 @ sk4) & ~ (sk3 @ sk4)) | (~ (sk2 @ sk4) & (sk3 @ sk4)))) != (~ (((sk1 @ sk4) & ~ (sk2 @ sk4)) | (~ (sk1 @ sk4) & (sk2 @ sk4))) & (sk3 @ sk4))) | ((sk3 @ sk4) != (sk3 @ sk4))),inference(paramod_ordered,[status(thm)],[2610,8])). 19.81/5.53 thf(2715,plain,((sk1 @ sk4) | ((sk1 @ sk4) & ~ (((sk2 @ sk4) & ~ (sk3 @ sk4)) | (~ (sk2 @ sk4) & (sk3 @ sk4)))) | ((~ (sk1 @ sk4) & (((sk2 @ sk4) & ~ (sk3 @ sk4)) | (~ (sk2 @ sk4) & (sk3 @ sk4)))) != (~ (((sk1 @ sk4) & ~ (sk2 @ sk4)) | (~ (sk1 @ sk4) & (sk2 @ sk4))) & (sk3 @ sk4)))),inference(pattern_uni,[status(thm)],[2714:[]])). 19.81/5.53 thf(2763,plain,(((~ (sk1 @ sk4) & (((sk2 @ sk4) & ~ (sk3 @ sk4)) | (~ (sk2 @ sk4) & (sk3 @ sk4)))) != (~ (((sk1 @ sk4) & ~ (sk2 @ sk4)) | (~ (sk1 @ sk4) & (sk2 @ sk4))) & (sk3 @ sk4))) | (sk1 @ sk4) | (sk1 @ sk4)),inference(cnf,[status(esa)],[2715])). 19.81/5.53 thf(2764,plain,(((~ (sk1 @ sk4) & (((sk2 @ sk4) & ~ (sk3 @ sk4)) | (~ (sk2 @ sk4) & (sk3 @ sk4)))) != (~ (((sk1 @ sk4) & ~ (sk2 @ sk4)) | (~ (sk1 @ sk4) & (sk2 @ sk4))) & (sk3 @ sk4))) | (sk1 @ sk4)),inference(simp,[status(thm)],[2763])). 19.81/5.53 thf(2994,plain,((sk1 @ sk4) | ((~ (sk1 @ sk4) & (sk2 @ sk4) & ~ (sk3 @ sk4)) != (~ (((sk1 @ sk4) & ~ (sk2 @ sk4)) | (~ (sk1 @ sk4) & (sk2 @ sk4))) & (sk3 @ sk4))) | ((sk2 @ sk4) != (sk2 @ sk4))),inference(paramod_ordered,[status(thm)],[2476,2764])). 19.81/5.53 thf(2995,plain,((sk1 @ sk4) | ((~ (sk1 @ sk4) & (sk2 @ sk4) & ~ (sk3 @ sk4)) != (~ (((sk1 @ sk4) & ~ (sk2 @ sk4)) | (~ (sk1 @ sk4) & (sk2 @ sk4))) & (sk3 @ sk4)))),inference(pattern_uni,[status(thm)],[2994:[]])). 19.81/5.53 thf(3057,plain,((sk1 @ sk4) | (~ (((sk1 @ sk4) & ~ (sk2 @ sk4)) | (~ (sk1 @ sk4) & (sk2 @ sk4))) & (sk3 @ sk4)) | ((sk3 @ sk4) != (sk3 @ sk4))),inference(paramod_ordered,[status(thm)],[2610,2995])). 19.81/5.53 thf(3058,plain,((sk1 @ sk4) | (~ (((sk1 @ sk4) & ~ (sk2 @ sk4)) | (~ (sk1 @ sk4) & (sk2 @ sk4))) & (sk3 @ sk4))),inference(pattern_uni,[status(thm)],[3057:[]])). 19.81/5.53 thf(3062,plain,((sk1 @ sk4) | (~ (sk2 @ sk4)) | (sk1 @ sk4)),inference(cnf,[status(esa)],[3058])). 19.81/5.53 thf(3064,plain,((sk1 @ sk4) | (~ (sk2 @ sk4))),inference(simp,[status(thm)],[3062])). 19.81/5.53 thf(3088,plain,((sk1 @ sk4) | ((sk2 @ sk4) != (sk2 @ sk4))),inference(paramod_ordered,[status(thm)],[2476,3064])). 19.81/5.53 thf(3089,plain,((sk1 @ sk4)),inference(pattern_uni,[status(thm)],[3088:[]])). 19.81/5.53 thf(3120,plain,(((((($true)) & ~ (((sk2 @ sk4) & ~ (sk3 @ sk4)) | (~ (sk2 @ sk4) & (sk3 @ sk4)))) | (~ (($true)) & (((sk2 @ sk4) & ~ (sk3 @ sk4)) | (~ (sk2 @ sk4) & (sk3 @ sk4))))) != (((((($true)) & ~ (sk2 @ sk4)) | (~ (($true)) & (sk2 @ sk4))) & ~ (sk3 @ sk4)) | (~ (((($true)) & ~ (sk2 @ sk4)) | (~ (($true)) & (sk2 @ sk4))) & (sk3 @ sk4))))),inference(rewrite,[status(thm)],[7,3089])). 19.81/5.53 thf(3121,plain,(((~ (((sk2 @ sk4) & ~ (sk3 @ sk4)) | (~ (sk2 @ sk4) & (sk3 @ sk4)))) != ((~ (sk2 @ sk4) & ~ (sk3 @ sk4)) | ((sk2 @ sk4) & (sk3 @ sk4))))),inference(simp,[status(thm)],[3120])). 19.81/5.53 thf(3276,plain,((~ (((sk2 @ sk4) & ~ (sk3 @ sk4)) | (~ (sk2 @ sk4) & (sk3 @ sk4)))) | ((~ (sk2 @ sk4) & ~ (sk3 @ sk4)) | ((sk2 @ sk4) & (sk3 @ sk4)))),inference(bool_ext,[status(thm)],[3121])). 19.81/5.53 thf(3295,plain,((~ (sk2 @ sk4)) | (sk3 @ sk4) | (~ (sk2 @ sk4)) | (sk3 @ sk4)),inference(cnf,[status(esa)],[3276])). 19.81/5.53 thf(3304,plain,((~ (sk2 @ sk4)) | (sk3 @ sk4)),inference(simp,[status(thm)],[3295])). 19.81/5.53 thf(26,plain,((~ (sk2 @ sk4)) | (~ (sk1 @ sk4)) | (~ (sk3 @ sk4)) | (~ (sk1 @ sk4)) | (~ (sk3 @ sk4)) | (~ (sk2 @ sk4))),inference(cnf,[status(esa)],[9])). 19.81/5.53 thf(66,plain,((~ (sk2 @ sk4)) | (~ (sk1 @ sk4)) | (~ (sk3 @ sk4))),inference(simp,[status(thm)],[26])). 19.81/5.53 thf(3134,plain,((~ (sk2 @ sk4)) | ~ (($true)) | (~ (sk3 @ sk4))),inference(rewrite,[status(thm)],[66,3089])). 19.81/5.53 thf(3135,plain,((~ (sk2 @ sk4)) | (~ (sk3 @ sk4))),inference(simp,[status(thm)],[3134])). 19.81/5.53 thf(3427,plain,((~ (sk2 @ sk4)) | ((sk3 @ sk4) != (sk3 @ sk4))),inference(paramod_ordered,[status(thm)],[3304,3135])). 19.81/5.53 thf(3428,plain,((~ (sk2 @ sk4))),inference(pattern_uni,[status(thm)],[3427:[]])). 19.81/5.53 thf(3507,plain,((((~ (($false)) & ~ (sk3 @ sk4)) | ((($false)) & (sk3 @ sk4))) != (~ (((($false)) & ~ (sk3 @ sk4)) | (~ (($false)) & (sk3 @ sk4)))))),inference(rewrite,[status(thm)],[3121,3428])). 19.81/5.53 thf(3508,plain,(($false)),inference(simp,[status(thm)],[3507])). 19.81/5.53 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 19.81/5.53 % [INFO] Killing All external provers ... 20.28/5.73 EOF