%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SYN729-1 : TPTP v8.1.0. Released v2.5.0. % 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 : Thu Jul 21 09:18:34 EDT 2022 % Result : Unsatisfiable 7.61s 7.44s % Output : Proof 7.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SYN729-1 : TPTP v8.1.0. Released v2.5.0. % 0.00/0.12 % Command : moca.sh %s % 0.12/0.33 % Computer : n027.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jul 12 05:05:04 EDT 2022 % 0.12/0.33 % CPUTime : % 7.61/7.44 % SZS status Unsatisfiable % 7.61/7.44 % SZS output start Proof % 7.61/7.44 The input problem is unsatisfiable because % 7.61/7.44 % 7.61/7.44 [1] the following set of Horn clauses is unsatisfiable: % 7.61/7.44 % 7.61/7.44 p(A) ==> l(A, g(h(sk1(A)))) % 7.61/7.44 p(A) ==> p(sk1(A)) % 7.61/7.44 p(A) ==> p(g(A)) % 7.61/7.44 p(A) ==> p(h(A)) % 7.61/7.44 p(sk2) % 7.61/7.44 p(A) & l(sk2, A) ==> \bottom % 7.61/7.44 % 7.61/7.44 This holds because % 7.61/7.44 % 7.61/7.44 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 7.61/7.44 % 7.61/7.44 E: % 7.61/7.44 f1(p(A), A) = true__ % 7.61/7.44 f1(true__, A) = l(A, g(h(sk1(A)))) % 7.61/7.44 f2(p(A), A) = true__ % 7.61/7.44 f2(true__, A) = p(sk1(A)) % 7.61/7.44 f3(p(A), A) = true__ % 7.61/7.44 f3(true__, A) = p(g(A)) % 7.61/7.44 f4(p(A), A) = true__ % 7.61/7.44 f4(true__, A) = p(h(A)) % 7.61/7.44 f5(true__) = false__ % 7.61/7.44 f6(l(sk2, A), A) = true__ % 7.61/7.44 f6(true__, A) = f5(p(A)) % 7.61/7.44 p(sk2) = true__ % 7.61/7.44 G: % 7.61/7.44 true__ = false__ % 7.61/7.44 % 7.61/7.44 This holds because % 7.61/7.44 % 7.61/7.44 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 7.61/7.44 % 7.61/7.44 % 7.61/7.44 f1(p(A), A) -> true__ % 7.61/7.44 f1(true__, A) -> l(A, g(h(sk1(A)))) % 7.61/7.44 f2(p(A), A) -> true__ % 7.61/7.44 f2(true__, A) -> p(sk1(A)) % 7.61/7.44 f3(p(A), A) -> true__ % 7.61/7.44 f3(true__, A) -> p(g(A)) % 7.61/7.44 f4(p(A), A) -> true__ % 7.61/7.44 f4(true__, A) -> p(h(A)) % 7.61/7.44 f5(true__) -> false__ % 7.61/7.44 f6(l(sk2, A), A) -> true__ % 7.61/7.44 f6(true__, A) -> f5(p(A)) % 7.61/7.44 false__ -> true__ % 7.61/7.44 l(g(g(g(sk1(sk2)))), g(h(sk1(g(g(g(sk1(sk2)))))))) -> true__ % 7.61/7.44 l(g(g(g(sk2))), g(h(sk1(g(g(g(sk2))))))) -> true__ % 7.61/7.44 l(g(g(h(sk2))), g(h(sk1(g(g(h(sk2))))))) -> true__ % 7.61/7.44 l(g(g(sk1(sk1(sk2)))), g(h(sk1(g(g(sk1(sk1(sk2)))))))) -> true__ % 7.61/7.44 l(g(g(sk1(sk2))), g(h(sk1(g(g(sk1(sk2))))))) -> true__ % 7.61/7.44 l(g(g(sk2)), g(h(sk1(g(g(sk2)))))) -> true__ % 7.61/7.44 l(g(h(g(sk2))), g(h(sk1(g(h(g(sk2))))))) -> true__ % 7.61/7.44 l(g(h(h(sk2))), g(h(sk1(g(h(h(sk2))))))) -> true__ % 7.61/7.44 l(g(h(sk1(sk1(sk2)))), g(h(sk1(g(h(sk1(sk1(sk2)))))))) -> true__ % 7.61/7.44 l(g(h(sk1(sk2))), g(h(sk1(g(h(sk1(sk2))))))) -> true__ % 7.61/7.44 l(g(h(sk2)), g(h(sk1(g(h(sk2)))))) -> true__ % 7.61/7.44 l(g(sk1(g(sk1(sk2)))), g(h(sk1(g(sk1(g(sk1(sk2)))))))) -> true__ % 7.61/7.44 l(g(sk1(g(sk2))), g(h(sk1(g(sk1(g(sk2))))))) -> true__ % 7.61/7.44 l(g(sk1(h(sk2))), g(h(sk1(g(sk1(h(sk2))))))) -> true__ % 7.61/7.44 l(g(sk1(sk1(sk1(sk2)))), g(h(sk1(g(sk1(sk1(sk1(sk2)))))))) -> true__ % 7.61/7.44 l(g(sk1(sk1(sk2))), g(h(sk1(g(sk1(sk1(sk2))))))) -> true__ % 7.61/7.44 l(g(sk1(sk2)), g(h(sk1(g(sk1(sk2)))))) -> true__ % 7.61/7.44 l(g(sk2), g(h(sk1(g(sk2))))) -> true__ % 7.61/7.44 l(h(g(g(sk1(sk2)))), g(h(sk1(h(g(g(sk1(sk2)))))))) -> true__ % 7.61/7.44 l(h(g(g(sk2))), g(h(sk1(h(g(g(sk2))))))) -> true__ % 7.61/7.44 l(h(g(h(sk2))), g(h(sk1(h(g(h(sk2))))))) -> true__ % 7.61/7.44 l(h(g(sk1(sk1(sk2)))), g(h(sk1(h(g(sk1(sk1(sk2)))))))) -> true__ % 7.61/7.44 l(h(g(sk1(sk2))), g(h(sk1(h(g(sk1(sk2))))))) -> true__ % 7.61/7.44 l(h(g(sk2)), g(h(sk1(h(g(sk2)))))) -> true__ % 7.61/7.44 l(h(h(g(sk2))), g(h(sk1(h(h(g(sk2))))))) -> true__ % 7.61/7.44 l(h(h(h(sk2))), g(h(sk1(h(h(h(sk2))))))) -> true__ % 7.61/7.44 l(h(h(sk1(sk1(sk2)))), g(h(sk1(h(h(sk1(sk1(sk2)))))))) -> true__ % 7.61/7.44 l(h(h(sk1(sk2))), g(h(sk1(h(h(sk1(sk2))))))) -> true__ % 7.61/7.44 l(h(h(sk2)), g(h(sk1(h(h(sk2)))))) -> true__ % 7.61/7.44 l(h(sk1(g(sk1(sk2)))), g(h(sk1(h(sk1(g(sk1(sk2)))))))) -> true__ % 7.61/7.44 l(h(sk1(g(sk2))), g(h(sk1(h(sk1(g(sk2))))))) -> true__ % 7.61/7.44 l(h(sk1(h(sk2))), g(h(sk1(h(sk1(h(sk2))))))) -> true__ % 7.61/7.44 l(h(sk1(sk1(sk1(sk2)))), g(h(sk1(h(sk1(sk1(sk1(sk2)))))))) -> true__ % 7.61/7.44 l(h(sk1(sk1(sk2))), g(h(sk1(h(sk1(sk1(sk2))))))) -> true__ % 7.61/7.44 l(h(sk1(sk2)), g(h(sk1(h(sk1(sk2)))))) -> true__ % 7.61/7.44 l(h(sk2), g(h(sk1(h(sk2))))) -> true__ % 7.61/7.44 l(sk1(g(g(sk1(sk2)))), g(h(sk1(sk1(g(g(sk1(sk2)))))))) -> true__ % 7.61/7.44 l(sk1(g(g(sk2))), g(h(sk1(sk1(g(g(sk2))))))) -> true__ % 7.61/7.44 l(sk1(g(h(sk2))), g(h(sk1(sk1(g(h(sk2))))))) -> true__ % 7.61/7.44 l(sk1(g(sk1(sk1(sk2)))), g(h(sk1(sk1(g(sk1(sk1(sk2)))))))) -> true__ % 7.61/7.44 l(sk1(g(sk1(sk2))), g(h(sk1(sk1(g(sk1(sk2))))))) -> true__ % 7.61/7.44 l(sk1(g(sk2)), g(h(sk1(sk1(g(sk2)))))) -> true__ % 7.61/7.44 l(sk1(h(g(sk2))), g(h(sk1(sk1(h(g(sk2))))))) -> true__ % 7.61/7.44 l(sk1(h(h(sk2))), g(h(sk1(sk1(h(h(sk2))))))) -> true__ % 7.61/7.44 l(sk1(h(sk1(sk1(sk2)))), g(h(sk1(sk1(h(sk1(sk1(sk2)))))))) -> true__ % 7.61/7.44 l(sk1(h(sk1(sk2))), g(h(sk1(sk1(h(sk1(sk2))))))) -> true__ % 7.61/7.44 l(sk1(h(sk2)), g(h(sk1(sk1(h(sk2)))))) -> true__ % 7.61/7.44 l(sk1(sk1(g(sk1(sk2)))), g(h(sk1(sk1(sk1(g(sk1(sk2)))))))) -> true__ % 7.61/7.44 l(sk1(sk1(g(sk2))), g(h(sk1(sk1(sk1(g(sk2))))))) -> true__ % 7.61/7.44 l(sk1(sk1(h(sk2))), g(h(sk1(sk1(sk1(h(sk2))))))) -> true__ % 7.61/7.44 l(sk1(sk1(sk1(g(sk2)))), g(h(sk1(sk1(sk1(sk1(g(sk2)))))))) -> true__ % 7.61/7.44 l(sk1(sk1(sk1(sk1(sk2)))), g(h(sk1(sk1(sk1(sk1(sk1(sk2)))))))) -> true__ % 7.61/7.44 l(sk1(sk1(sk1(sk2))), g(h(sk1(sk1(sk1(sk1(sk2))))))) -> true__ % 7.61/7.44 l(sk1(sk1(sk2)), g(h(sk1(sk1(sk1(sk2)))))) -> true__ % 7.61/7.44 l(sk1(sk2), g(h(sk1(sk1(sk2))))) -> true__ % 7.61/7.44 l(sk2, g(h(sk1(sk2)))) -> true__ % 7.61/7.44 p(g(g(g(g(sk1(sk2)))))) -> true__ % 7.61/7.44 p(g(g(g(g(sk2))))) -> true__ % 7.61/7.44 p(g(g(g(h(sk2))))) -> true__ % 7.61/7.44 p(g(g(g(sk1(sk1(sk2)))))) -> true__ % 7.61/7.44 p(g(g(g(sk1(sk2))))) -> true__ % 7.61/7.44 p(g(g(g(sk2)))) -> true__ % 7.61/7.44 p(g(g(h(g(sk2))))) -> true__ % 7.61/7.44 p(g(g(h(h(sk2))))) -> true__ % 7.61/7.44 p(g(g(h(sk1(sk1(sk2)))))) -> true__ % 7.61/7.44 p(g(g(h(sk1(sk2))))) -> true__ % 7.61/7.44 p(g(g(h(sk2)))) -> true__ % 7.61/7.44 p(g(g(sk1(g(sk1(sk2)))))) -> true__ % 7.61/7.44 p(g(g(sk1(g(sk2))))) -> true__ % 7.61/7.44 p(g(g(sk1(h(sk2))))) -> true__ % 7.61/7.44 p(g(g(sk1(sk1(sk1(sk2)))))) -> true__ % 7.61/7.44 p(g(g(sk1(sk1(sk2))))) -> true__ % 7.61/7.44 p(g(g(sk1(sk2)))) -> true__ % 7.61/7.44 p(g(g(sk2))) -> true__ % 7.61/7.44 p(g(h(g(g(sk2))))) -> true__ % 7.61/7.44 p(g(h(g(h(sk2))))) -> true__ % 7.61/7.44 p(g(h(g(sk1(sk1(sk2)))))) -> true__ % 7.61/7.44 p(g(h(g(sk1(sk2))))) -> true__ % 7.61/7.44 p(g(h(g(sk2)))) -> true__ % 7.61/7.44 p(g(h(h(g(sk2))))) -> true__ % 7.61/7.44 p(g(h(h(h(sk2))))) -> true__ % 7.61/7.44 p(g(h(h(sk1(sk1(sk2)))))) -> true__ % 7.61/7.44 p(g(h(h(sk1(sk2))))) -> true__ % 7.61/7.44 p(g(h(h(sk2)))) -> true__ % 7.61/7.44 p(g(h(sk1(g(sk1(sk2)))))) -> true__ % 7.61/7.44 p(g(h(sk1(g(sk2))))) -> true__ % 7.61/7.44 p(g(h(sk1(h(sk2))))) -> true__ % 7.61/7.44 p(g(h(sk1(sk1(sk1(sk2)))))) -> true__ % 7.61/7.44 p(g(h(sk1(sk1(sk2))))) -> true__ % 7.61/7.44 p(g(h(sk1(sk2)))) -> true__ % 7.61/7.44 p(g(h(sk2))) -> true__ % 7.61/7.44 p(g(sk1(g(g(sk1(sk2)))))) -> true__ % 7.61/7.44 p(g(sk1(g(g(sk2))))) -> true__ % 7.61/7.44 p(g(sk1(g(h(sk2))))) -> true__ % 7.61/7.44 p(g(sk1(g(sk1(sk1(sk2)))))) -> true__ % 7.61/7.44 p(g(sk1(g(sk1(sk2))))) -> true__ % 7.61/7.44 p(g(sk1(g(sk2)))) -> true__ % 7.61/7.44 p(g(sk1(h(g(sk2))))) -> true__ % 7.61/7.44 p(g(sk1(h(h(sk2))))) -> true__ % 7.61/7.44 p(g(sk1(h(sk1(sk1(sk2)))))) -> true__ % 7.61/7.44 p(g(sk1(h(sk1(sk2))))) -> true__ % 7.61/7.44 p(g(sk1(h(sk2)))) -> true__ % 7.61/7.44 p(g(sk1(sk1(g(sk1(sk2)))))) -> true__ % 7.61/7.44 p(g(sk1(sk1(g(sk2))))) -> true__ % 7.61/7.44 p(g(sk1(sk1(h(sk2))))) -> true__ % 7.61/7.44 p(g(sk1(sk1(sk1(g(sk2)))))) -> true__ % 7.61/7.44 p(g(sk1(sk1(sk1(sk1(sk2)))))) -> true__ % 7.61/7.44 p(g(sk1(sk1(sk1(sk2))))) -> true__ % 7.61/7.44 p(g(sk1(sk1(sk2)))) -> true__ % 7.61/7.44 p(g(sk1(sk2))) -> true__ % 7.61/7.44 p(g(sk2)) -> true__ % 7.61/7.44 p(h(g(g(g(sk1(sk2)))))) -> true__ % 7.61/7.44 p(h(g(g(g(sk2))))) -> true__ % 7.61/7.44 p(h(g(g(h(sk2))))) -> true__ % 7.61/7.44 p(h(g(g(sk1(sk1(sk2)))))) -> true__ % 7.61/7.44 p(h(g(g(sk1(sk2))))) -> true__ % 7.61/7.44 p(h(g(g(sk2)))) -> true__ % 7.61/7.44 p(h(g(h(g(sk2))))) -> true__ % 7.61/7.44 p(h(g(h(h(sk2))))) -> true__ % 7.61/7.44 p(h(g(h(sk1(sk1(sk2)))))) -> true__ % 7.61/7.44 p(h(g(h(sk1(sk2))))) -> true__ % 7.61/7.44 p(h(g(h(sk2)))) -> true__ % 7.61/7.44 p(h(g(sk1(g(sk1(sk2)))))) -> true__ % 7.61/7.44 p(h(g(sk1(g(sk2))))) -> true__ % 7.61/7.44 p(h(g(sk1(h(sk2))))) -> true__ % 7.61/7.44 p(h(g(sk1(sk1(sk1(sk2)))))) -> true__ % 7.61/7.44 p(h(g(sk1(sk1(sk2))))) -> true__ % 7.61/7.44 p(h(g(sk1(sk2)))) -> true__ % 7.61/7.44 p(h(g(sk2))) -> true__ % 7.61/7.44 p(h(h(g(g(sk2))))) -> true__ % 7.61/7.44 p(h(h(g(h(sk2))))) -> true__ % 7.61/7.44 p(h(h(g(sk1(sk1(sk2)))))) -> true__ % 7.61/7.44 p(h(h(g(sk1(sk2))))) -> true__ % 7.61/7.44 p(h(h(g(sk2)))) -> true__ % 7.61/7.44 p(h(h(h(g(sk2))))) -> true__ % 7.61/7.44 p(h(h(h(h(sk2))))) -> true__ % 7.61/7.44 p(h(h(h(sk1(sk1(sk2)))))) -> true__ % 7.61/7.44 p(h(h(h(sk1(sk2))))) -> true__ % 7.61/7.44 p(h(h(h(sk2)))) -> true__ % 7.61/7.44 p(h(h(sk1(g(sk1(sk2)))))) -> true__ % 7.61/7.44 p(h(h(sk1(g(sk2))))) -> true__ % 7.61/7.44 p(h(h(sk1(h(sk2))))) -> true__ % 7.61/7.44 p(h(h(sk1(sk1(sk1(sk2)))))) -> true__ % 7.61/7.44 p(h(h(sk1(sk1(sk2))))) -> true__ % 7.61/7.44 p(h(h(sk1(sk2)))) -> true__ % 7.61/7.44 p(h(h(sk2))) -> true__ % 7.61/7.44 p(h(sk1(g(g(sk1(sk2)))))) -> true__ % 7.61/7.44 p(h(sk1(g(g(sk2))))) -> true__ % 7.61/7.44 p(h(sk1(g(h(sk2))))) -> true__ % 7.61/7.44 p(h(sk1(g(sk1(sk1(sk2)))))) -> true__ % 7.61/7.44 p(h(sk1(g(sk1(sk2))))) -> true__ % 7.61/7.44 p(h(sk1(g(sk2)))) -> true__ % 7.61/7.44 p(h(sk1(h(g(sk2))))) -> true__ % 7.61/7.44 p(h(sk1(h(h(sk2))))) -> true__ % 7.61/7.44 p(h(sk1(h(sk1(sk1(sk2)))))) -> true__ % 7.61/7.44 p(h(sk1(h(sk1(sk2))))) -> true__ % 7.61/7.44 p(h(sk1(h(sk2)))) -> true__ % 7.61/7.44 p(h(sk1(sk1(g(sk1(sk2)))))) -> true__ % 7.61/7.44 p(h(sk1(sk1(g(sk2))))) -> true__ % 7.61/7.44 p(h(sk1(sk1(h(sk2))))) -> true__ % 7.61/7.44 p(h(sk1(sk1(sk1(sk1(sk2)))))) -> true__ % 7.61/7.44 p(h(sk1(sk1(sk1(sk2))))) -> true__ % 7.61/7.44 p(h(sk1(sk1(sk2)))) -> true__ % 7.61/7.44 p(h(sk1(sk2))) -> true__ % 7.61/7.44 p(h(sk2)) -> true__ % 7.61/7.44 p(sk1(g(g(g(sk1(sk2)))))) -> true__ % 7.61/7.44 p(sk1(g(g(g(sk2))))) -> true__ % 7.61/7.44 p(sk1(g(g(h(sk2))))) -> true__ % 7.61/7.44 p(sk1(g(g(sk1(sk1(sk2)))))) -> true__ % 7.61/7.44 p(sk1(g(g(sk1(sk2))))) -> true__ % 7.61/7.44 p(sk1(g(g(sk2)))) -> true__ % 7.61/7.44 p(sk1(g(h(g(sk2))))) -> true__ % 7.61/7.44 p(sk1(g(h(h(sk2))))) -> true__ % 7.61/7.45 p(sk1(g(h(sk1(sk1(sk2)))))) -> true__ % 7.61/7.45 p(sk1(g(h(sk1(sk2))))) -> true__ % 7.61/7.45 p(sk1(g(h(sk2)))) -> true__ % 7.61/7.45 p(sk1(g(sk1(g(sk1(sk2)))))) -> true__ % 7.61/7.45 p(sk1(g(sk1(g(sk2))))) -> true__ % 7.61/7.45 p(sk1(g(sk1(h(sk2))))) -> true__ % 7.61/7.45 p(sk1(g(sk1(sk1(sk1(sk2)))))) -> true__ % 7.61/7.45 p(sk1(g(sk1(sk1(sk2))))) -> true__ % 7.61/7.45 p(sk1(g(sk1(sk2)))) -> true__ % 7.61/7.45 p(sk1(g(sk2))) -> true__ % 7.61/7.45 p(sk1(h(g(g(sk2))))) -> true__ % 7.61/7.45 p(sk1(h(g(h(sk2))))) -> true__ % 7.61/7.45 p(sk1(h(g(sk1(sk1(sk2)))))) -> true__ % 7.61/7.45 p(sk1(h(g(sk1(sk2))))) -> true__ % 7.61/7.45 p(sk1(h(g(sk2)))) -> true__ % 7.61/7.45 p(sk1(h(h(g(sk2))))) -> true__ % 7.61/7.45 p(sk1(h(h(h(sk2))))) -> true__ % 7.61/7.45 p(sk1(h(h(sk1(sk1(sk2)))))) -> true__ % 7.61/7.45 p(sk1(h(h(sk1(sk2))))) -> true__ % 7.61/7.45 p(sk1(h(h(sk2)))) -> true__ % 7.61/7.45 p(sk1(h(sk1(g(sk1(sk2)))))) -> true__ % 7.61/7.45 p(sk1(h(sk1(g(sk2))))) -> true__ % 7.61/7.45 p(sk1(h(sk1(h(sk2))))) -> true__ % 7.61/7.45 p(sk1(h(sk1(sk1(sk1(sk2)))))) -> true__ % 7.61/7.45 p(sk1(h(sk1(sk1(sk2))))) -> true__ % 7.61/7.45 p(sk1(h(sk1(sk2)))) -> true__ % 7.61/7.45 p(sk1(h(sk2))) -> true__ % 7.61/7.45 p(sk1(sk1(g(g(sk1(sk2)))))) -> true__ % 7.61/7.45 p(sk1(sk1(g(g(sk2))))) -> true__ % 7.61/7.45 p(sk1(sk1(g(h(sk2))))) -> true__ % 7.61/7.45 p(sk1(sk1(g(sk1(sk1(sk2)))))) -> true__ % 7.61/7.45 p(sk1(sk1(g(sk1(sk2))))) -> true__ % 7.61/7.45 p(sk1(sk1(g(sk2)))) -> true__ % 7.61/7.45 p(sk1(sk1(h(g(sk2))))) -> true__ % 7.61/7.45 p(sk1(sk1(h(h(sk2))))) -> true__ % 7.61/7.45 p(sk1(sk1(h(sk1(sk1(sk2)))))) -> true__ % 7.61/7.45 p(sk1(sk1(h(sk1(sk2))))) -> true__ % 7.61/7.45 p(sk1(sk1(h(sk2)))) -> true__ % 7.61/7.45 p(sk1(sk1(sk1(g(sk1(sk2)))))) -> true__ % 7.61/7.45 p(sk1(sk1(sk1(g(sk2))))) -> true__ % 7.61/7.45 p(sk1(sk1(sk1(h(sk2))))) -> true__ % 7.61/7.45 p(sk1(sk1(sk1(sk1(g(sk2)))))) -> true__ % 7.61/7.45 p(sk1(sk1(sk1(sk1(sk1(sk2)))))) -> true__ % 7.61/7.45 p(sk1(sk1(sk1(sk1(sk2))))) -> true__ % 7.61/7.45 p(sk1(sk1(sk1(sk2)))) -> true__ % 7.61/7.45 p(sk1(sk1(sk2))) -> true__ % 7.61/7.45 p(sk1(sk2)) -> true__ % 7.61/7.45 p(sk2) -> true__ % 7.61/7.45 with the LPO induced by % 7.61/7.45 f6 > f5 > sk2 > f4 > f3 > f2 > p > f1 > sk1 > h > g > l > false__ > true__ % 7.61/7.45 % 7.61/7.45 % SZS output end Proof % 7.61/7.45 %------------------------------------------------------------------------------