%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : COL084-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n027.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 : Fri Jul 15 00:37:36 EDT 2022 % Result : Unsatisfiable 0.13s 0.38s % Output : Proof 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : COL084-1 : TPTP v8.1.0. Released v2.6.0. % 0.06/0.13 % Command : moca.sh %s % 0.13/0.34 % Computer : n027.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 May 31 11:21:17 EDT 2022 % 0.13/0.34 % CPUTime : % 0.13/0.38 % SZS status Unsatisfiable % 0.13/0.38 % SZS output start Proof % 0.13/0.38 The input problem is unsatisfiable because % 0.13/0.38 % 0.13/0.38 [1] the following set of Horn clauses is unsatisfiable: % 0.13/0.38 % 0.13/0.38 response(mocking_bird, A) = response(A, A) % 0.13/0.38 response(compose(A, B), C) = response(A, response(B, C)) % 0.13/0.38 response(b, B) = A ==> \bottom % 0.13/0.38 % 0.13/0.38 This holds because % 0.13/0.38 % 0.13/0.38 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 0.13/0.38 % 0.13/0.38 E: % 0.13/0.38 f1(A, A) = false__ % 0.13/0.38 f1(response(b, B), A) = true__ % 0.13/0.38 response(compose(A, B), C) = response(A, response(B, C)) % 0.13/0.38 response(mocking_bird, A) = response(A, A) % 0.13/0.38 G: % 0.13/0.38 true__ = false__ % 0.13/0.38 % 0.13/0.38 This holds because % 0.13/0.38 % 0.13/0.38 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 0.13/0.38 % 0.13/0.38 response(mocking_bird, A) = response(A, A) % 0.13/0.38 response(mocking_bird, compose(Y0, Y1)) = response(Y0, response(Y1, compose(Y0, Y1))) % 0.13/0.38 f1(A, A) -> false__ % 0.13/0.38 f1(response(b, B), A) -> true__ % 0.13/0.38 response(compose(A, B), C) -> response(A, response(B, C)) % 0.13/0.38 true__ -> false__ % 0.13/0.38 with the LPO induced by % 0.13/0.38 mocking_bird > f1 > response > compose > b > true__ > false__ % 0.13/0.38 % 0.13/0.38 % SZS output end Proof % 0.13/0.38 %------------------------------------------------------------------------------