%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : COL058-2 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n018.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 00:37:15 EDT 2022 % Result : Unsatisfiable 1.33s 1.50s % Output : Proof 1.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : COL058-2 : TPTP v8.1.0. Released v1.0.0. % 0.12/0.13 % Command : moca.sh %s % 0.12/0.34 % Computer : n018.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Tue May 31 13:33:58 EDT 2022 % 0.12/0.34 % CPUTime : % 1.33/1.50 % SZS status Unsatisfiable % 1.33/1.50 % SZS output start Proof % 1.33/1.50 The input problem is unsatisfiable because % 1.33/1.50 % 1.33/1.50 [1] the following set of Horn clauses is unsatisfiable: % 1.33/1.50 % 1.33/1.50 response(response(lark, X1), X2) = response(X1, response(X2, X2)) % 1.33/1.50 response(response(response(lark, response(response(lark, response(lark, lark)), response(lark, response(lark, lark)))), response(lark, response(lark, lark))), response(response(lark, response(response(lark, response(lark, lark)), response(lark, response(lark, lark)))), response(lark, response(lark, lark)))) = response(response(lark, response(response(lark, response(lark, lark)), response(lark, response(lark, lark)))), response(lark, response(lark, lark))) ==> \bottom % 1.33/1.50 % 1.33/1.50 This holds because % 1.33/1.50 % 1.33/1.50 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 1.33/1.50 % 1.33/1.50 E: % 1.33/1.50 f1(response(response(lark, response(response(lark, response(lark, lark)), response(lark, response(lark, lark)))), response(lark, response(lark, lark)))) = false__ % 1.33/1.50 f1(response(response(response(lark, response(response(lark, response(lark, lark)), response(lark, response(lark, lark)))), response(lark, response(lark, lark))), response(response(lark, response(response(lark, response(lark, lark)), response(lark, response(lark, lark)))), response(lark, response(lark, lark))))) = true__ % 1.33/1.50 response(response(lark, X1), X2) = response(X1, response(X2, X2)) % 1.33/1.50 G: % 1.33/1.50 true__ = false__ % 1.33/1.50 % 1.33/1.50 This holds because % 1.33/1.50 % 1.33/1.50 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 1.33/1.50 % 1.33/1.50 response(X0, response(response(Y1, Y1), response(Y1, Y1))) = response(response(lark, response(lark, X0)), Y1) % 1.33/1.50 response(Y0, response(response(response(lark, lark), X0), X0)) = response(response(lark, Y0), response(X0, X0)) % 1.33/1.50 response(Y0, response(response(response(lark, lark), Y1), Y1)) = response(response(lark, response(lark, Y0)), Y1) % 1.33/1.50 response(response(lark, X1), X2) = response(X1, response(X2, X2)) % 1.33/1.50 response(response(response(lark, lark), X0), response(Y1, Y1)) = response(response(lark, response(lark, response(X0, X0))), Y1) % 1.33/1.50 response(response(response(lark, lark), X1), Y1) = response(response(X1, X1), response(Y1, Y1)) % 1.33/1.50 f1(response(response(lark, response(response(lark, response(lark, lark)), response(lark, response(lark, lark)))), response(lark, response(lark, lark)))) -> false__ % 1.33/1.50 f1(response(response(response(lark, lark), response(lark, response(lark, lark))), response(lark, response(lark, lark)))) -> false__ % 1.33/1.50 f1(response(response(response(lark, response(response(lark, response(lark, lark)), response(lark, response(lark, lark)))), response(lark, response(lark, lark))), response(response(lark, response(response(lark, response(lark, lark)), response(lark, response(lark, lark)))), response(lark, response(lark, lark))))) -> true__ % 1.33/1.50 true__ -> false__ % 1.33/1.50 with the LPO induced by % 1.33/1.50 f1 > lark > response > true__ > false__ % 1.33/1.50 % 1.33/1.50 % SZS output end Proof % 1.33/1.50 %------------------------------------------------------------------------------