%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SYN727-1 : TPTP v8.1.0. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 21 09:18:33 EDT 2022 % Result : Unsatisfiable 0.13s 0.39s % Output : Proof 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN727-1 : TPTP v8.1.0. Released v2.5.0. % 0.07/0.13 % Command : moca.sh %s % 0.13/0.34 % Computer : n007.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 : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Tue Jul 12 08:22:48 EDT 2022 % 0.13/0.35 % CPUTime : % 0.13/0.39 % SZS status Unsatisfiable % 0.13/0.39 % SZS output start Proof % 0.13/0.39 The input problem is unsatisfiable because % 0.13/0.39 % 0.13/0.39 [1] the following set of Horn clauses is unsatisfiable: % 0.13/0.39 % 0.13/0.39 likes(A, bruce) % 0.13/0.39 likes(A, B) ==> likes(lyle, A) % 0.13/0.39 likes(A, sk1(A)) ==> \bottom % 0.13/0.39 % 0.13/0.39 This holds because % 0.13/0.39 % 0.13/0.39 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 0.13/0.39 % 0.13/0.39 E: % 0.13/0.39 f1(likes(A, B), A) = true__ % 0.13/0.39 f1(true__, A) = likes(lyle, A) % 0.13/0.39 f2(likes(A, sk1(A))) = true__ % 0.13/0.39 f2(true__) = false__ % 0.13/0.39 likes(A, bruce) = true__ % 0.13/0.39 G: % 0.13/0.39 true__ = false__ % 0.13/0.39 % 0.13/0.39 This holds because % 0.13/0.39 % 0.13/0.39 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 0.13/0.39 % 0.13/0.39 % 0.13/0.39 f1(f1(true__, Y1), lyle) -> true__ % 0.13/0.39 f1(likes(A, B), A) -> true__ % 0.13/0.39 f1(true__, Y0) -> true__ % 0.13/0.39 f1(true__, bruce) -> true__ % 0.13/0.39 f2(f1(true__, sk1(lyle))) -> true__ % 0.13/0.39 f2(likes(A, sk1(A))) -> true__ % 0.13/0.39 f2(true__) -> false__ % 0.13/0.39 false__ -> true__ % 0.13/0.39 likes(A, bruce) -> true__ % 0.13/0.39 likes(lyle, A) -> f1(true__, A) % 0.13/0.39 with the LPO induced by % 0.13/0.39 f2 > sk1 > lyle > bruce > likes > f1 > false__ > true__ % 0.13/0.39 % 0.13/0.39 % SZS output end Proof % 0.13/0.39 %------------------------------------------------------------------------------