%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWB014+2 : TPTP v9.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n001.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 : 300s % DateTime : Fri Oct 3 08:03:24 PM UTC 2025 % Result : Theorem 4.82s 5.06s % Output : Proof 4.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SWB014+2 : TPTP v9.2.0. Released v5.2.0. % 0.04/0.13 % Command : duper %s % 0.13/0.34 % Computer : n001.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 : 300 % 0.13/0.34 % DateTime : Thu Oct 2 11:49:53 EDT 2025 % 0.13/0.35 % CPUTime : % 4.82/5.06 SZS status Theorem for theBenchmark.p % 4.82/5.06 SZS output start Proof for theBenchmark.p % 4.82/5.06 Clause #0 (by assumption #[]): Eq (∀ (X C : Iota), Iff (iext uri_rdf_type X C) (icext C X)) True % 4.82/5.06 Clause #1 (by assumption #[]): Eq % 4.82/5.06 (∀ (Z S1 C1 S2 C2 : Iota), % 4.82/5.06 And (And (And (iext uri_rdf_first S1 C1) (iext uri_rdf_rest S1 S2)) (iext uri_rdf_first S2 C2)) % 4.82/5.06 (iext uri_rdf_rest S2 uri_rdf_nil) → % 4.82/5.06 Iff (iext uri_owl_unionOf Z S1) % 4.82/5.06 (And (And (And (ic Z) (ic C1)) (ic C2)) (∀ (X : Iota), Iff (icext Z X) (Or (icext C1 X) (icext C2 X))))) % 4.82/5.06 True % 4.82/5.06 Clause #2 (by assumption #[]): Eq (Not (Exists fun BNODE_x => And (iext uri_rdf_type uri_ex_harry BNODE_x) (iext uri_rdf_type BNODE_x uri_ex_Species))) % 4.82/5.06 True % 4.82/5.06 Clause #3 (by assumption #[]): Eq % 4.82/5.06 (Exists fun BNODE_u => % 4.82/5.06 Exists fun BNODE_l1 => % 4.82/5.06 Exists fun BNODE_l2 => % 4.82/5.06 And % 4.82/5.06 (And % 4.82/5.06 (And % 4.82/5.06 (And % 4.82/5.06 (And % 4.82/5.06 (And % 4.82/5.06 (And (iext uri_rdf_type uri_ex_Eagle uri_ex_Species) % 4.82/5.06 (iext uri_rdf_type uri_ex_Falcon uri_ex_Species)) % 4.82/5.06 (iext uri_rdf_type uri_ex_harry BNODE_u)) % 4.82/5.06 (iext uri_owl_unionOf BNODE_u BNODE_l1)) % 4.82/5.06 (iext uri_rdf_first BNODE_l1 uri_ex_Eagle)) % 4.82/5.06 (iext uri_rdf_rest BNODE_l1 BNODE_l2)) % 4.82/5.06 (iext uri_rdf_first BNODE_l2 uri_ex_Falcon)) % 4.82/5.06 (iext uri_rdf_rest BNODE_l2 uri_rdf_nil)) % 4.82/5.06 True % 4.82/5.06 Clause #4 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (iext uri_rdf_type a C) (icext C a)) True % 4.82/5.06 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_rdf_type a a_1) (icext a_1 a)) True % 4.82/5.06 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (iext uri_rdf_type a a_1) True) (Eq (icext a_1 a) False) % 4.82/5.06 Clause #7 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (iext uri_rdf_type a a_1) False) (Eq (icext a_1 a) True) % 4.82/5.06 Clause #8 (by clausification #[2]): Eq (Exists fun BNODE_x => And (iext uri_rdf_type uri_ex_harry BNODE_x) (iext uri_rdf_type BNODE_x uri_ex_Species)) False % 4.82/5.06 Clause #9 (by clausification #[8]): ∀ (a : Iota), Eq (And (iext uri_rdf_type uri_ex_harry a) (iext uri_rdf_type a uri_ex_Species)) False % 4.82/5.06 Clause #10 (by clausification #[9]): ∀ (a : Iota), Or (Eq (iext uri_rdf_type uri_ex_harry a) False) (Eq (iext uri_rdf_type a uri_ex_Species) False) % 4.82/5.06 Clause #11 (by clausification #[1]): ∀ (a : Iota), % 4.82/5.06 Eq % 4.82/5.06 (∀ (S1 C1 S2 C2 : Iota), % 4.82/5.06 And (And (And (iext uri_rdf_first S1 C1) (iext uri_rdf_rest S1 S2)) (iext uri_rdf_first S2 C2)) % 4.82/5.06 (iext uri_rdf_rest S2 uri_rdf_nil) → % 4.82/5.06 Iff (iext uri_owl_unionOf a S1) % 4.82/5.06 (And (And (And (ic a) (ic C1)) (ic C2)) (∀ (X : Iota), Iff (icext a X) (Or (icext C1 X) (icext C2 X))))) % 4.82/5.06 True % 4.82/5.06 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), % 4.82/5.06 Eq % 4.82/5.06 (∀ (C1 S2 C2 : Iota), % 4.82/5.06 And (And (And (iext uri_rdf_first a C1) (iext uri_rdf_rest a S2)) (iext uri_rdf_first S2 C2)) % 4.82/5.06 (iext uri_rdf_rest S2 uri_rdf_nil) → % 4.82/5.06 Iff (iext uri_owl_unionOf a_1 a) % 4.82/5.06 (And (And (And (ic a_1) (ic C1)) (ic C2)) (∀ (X : Iota), Iff (icext a_1 X) (Or (icext C1 X) (icext C2 X))))) % 4.82/5.06 True % 4.82/5.06 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 : Iota), % 4.82/5.06 Eq % 4.82/5.06 (∀ (S2 C2 : Iota), % 4.82/5.06 And (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a S2)) (iext uri_rdf_first S2 C2)) % 4.82/5.06 (iext uri_rdf_rest S2 uri_rdf_nil) → % 4.82/5.06 Iff (iext uri_owl_unionOf a_2 a) % 4.82/5.06 (And (And (And (ic a_2) (ic a_1)) (ic C2)) (∀ (X : Iota), Iff (icext a_2 X) (Or (icext a_1 X) (icext C2 X))))) % 4.82/5.06 True % 4.82/5.06 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 a_3 : Iota), % 4.82/5.06 Eq % 4.82/5.06 (∀ (C2 : Iota), % 4.82/5.06 And (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a a_2)) (iext uri_rdf_first a_2 C2)) % 4.82/5.06 (iext uri_rdf_rest a_2 uri_rdf_nil) → % 4.82/5.06 Iff (iext uri_owl_unionOf a_3 a) % 4.82/5.06 (And (And (And (ic a_3) (ic a_1)) (ic C2)) (∀ (X : Iota), Iff (icext a_3 X) (Or (icext a_1 X) (icext C2 X))))) % 4.82/5.06 True % 4.82/5.06 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 4.82/5.06 Eq % 4.82/5.06 (And (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a a_2)) (iext uri_rdf_first a_2 a_3)) % 4.93/5.08 (iext uri_rdf_rest a_2 uri_rdf_nil) → % 4.93/5.08 Iff (iext uri_owl_unionOf a_4 a) % 4.93/5.08 (And (And (And (ic a_4) (ic a_1)) (ic a_3)) (∀ (X : Iota), Iff (icext a_4 X) (Or (icext a_1 X) (icext a_3 X))))) % 4.93/5.08 True % 4.93/5.08 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 4.93/5.08 Or % 4.93/5.08 (Eq % 4.93/5.08 (And (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a a_2)) (iext uri_rdf_first a_2 a_3)) % 4.93/5.08 (iext uri_rdf_rest a_2 uri_rdf_nil)) % 4.93/5.08 False) % 4.93/5.08 (Eq % 4.93/5.08 (Iff (iext uri_owl_unionOf a_4 a) % 4.93/5.08 (And (And (And (ic a_4) (ic a_1)) (ic a_3)) (∀ (X : Iota), Iff (icext a_4 X) (Or (icext a_1 X) (icext a_3 X))))) % 4.93/5.08 True) % 4.93/5.08 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 4.93/5.08 Or % 4.93/5.08 (Eq % 4.93/5.08 (Iff (iext uri_owl_unionOf a a_1) % 4.93/5.08 (And (And (And (ic a) (ic a_2)) (ic a_3)) (∀ (X : Iota), Iff (icext a X) (Or (icext a_2 X) (icext a_3 X))))) % 4.93/5.08 True) % 4.93/5.08 (Or (Eq (And (And (iext uri_rdf_first a_1 a_2) (iext uri_rdf_rest a_1 a_4)) (iext uri_rdf_first a_4 a_3)) False) % 4.93/5.08 (Eq (iext uri_rdf_rest a_4 uri_rdf_nil) False)) % 4.93/5.08 Clause #19 (by clausification #[17]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 4.93/5.08 Or (Eq (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a a_2)) (iext uri_rdf_first a_2 a_3)) False) % 4.93/5.08 (Or (Eq (iext uri_rdf_rest a_2 uri_rdf_nil) False) % 4.93/5.08 (Or (Eq (iext uri_owl_unionOf a_4 a) False) % 4.93/5.08 (Eq % 4.93/5.08 (And (And (And (ic a_4) (ic a_1)) (ic a_3)) % 4.93/5.08 (∀ (X : Iota), Iff (icext a_4 X) (Or (icext a_1 X) (icext a_3 X)))) % 4.93/5.08 True))) % 4.93/5.08 Clause #31 (by clausification #[19]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 4.93/5.08 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 4.93/5.08 (Or (Eq (iext uri_owl_unionOf a_1 a_2) False) % 4.93/5.08 (Or % 4.93/5.08 (Eq % 4.93/5.08 (And (And (And (ic a_1) (ic a_3)) (ic a_4)) % 4.93/5.08 (∀ (X : Iota), Iff (icext a_1 X) (Or (icext a_3 X) (icext a_4 X)))) % 4.93/5.08 True) % 4.93/5.08 (Or (Eq (And (iext uri_rdf_first a_2 a_3) (iext uri_rdf_rest a_2 a)) False) % 4.93/5.08 (Eq (iext uri_rdf_first a a_4) False)))) % 4.93/5.08 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 4.93/5.08 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 4.93/5.08 (Or (Eq (iext uri_owl_unionOf a_1 a_2) False) % 4.93/5.08 (Or (Eq (And (iext uri_rdf_first a_2 a_3) (iext uri_rdf_rest a_2 a)) False) % 4.93/5.08 (Or (Eq (iext uri_rdf_first a a_4) False) % 4.93/5.08 (Eq (∀ (X : Iota), Iff (icext a_1 X) (Or (icext a_3 X) (icext a_4 X))) True)))) % 4.93/5.08 Clause #34 (by clausification #[32]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 4.93/5.08 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 4.93/5.08 (Or (Eq (iext uri_owl_unionOf a_1 a_2) False) % 4.93/5.08 (Or (Eq (iext uri_rdf_first a a_3) False) % 4.93/5.08 (Or (Eq (∀ (X : Iota), Iff (icext a_1 X) (Or (icext a_4 X) (icext a_3 X))) True) % 4.93/5.08 (Or (Eq (iext uri_rdf_first a_2 a_4) False) (Eq (iext uri_rdf_rest a_2 a) False))))) % 4.93/5.08 Clause #35 (by clausification #[34]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 4.93/5.08 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 4.93/5.08 (Or (Eq (iext uri_owl_unionOf a_1 a_2) False) % 4.93/5.08 (Or (Eq (iext uri_rdf_first a a_3) False) % 4.93/5.08 (Or (Eq (iext uri_rdf_first a_2 a_4) False) % 4.93/5.08 (Or (Eq (iext uri_rdf_rest a_2 a) False) % 4.93/5.08 (Eq (Iff (icext a_1 a_5) (Or (icext a_4 a_5) (icext a_3 a_5))) True))))) % 4.93/5.08 Clause #37 (by clausification #[35]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 4.93/5.08 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 4.93/5.08 (Or (Eq (iext uri_owl_unionOf a_1 a_2) False) % 4.93/5.08 (Or (Eq (iext uri_rdf_first a a_3) False) % 4.93/5.08 (Or (Eq (iext uri_rdf_first a_2 a_4) False) % 4.93/5.08 (Or (Eq (iext uri_rdf_rest a_2 a) False) % 4.93/5.08 (Or (Eq (icext a_1 a_5) False) (Eq (Or (icext a_4 a_5) (icext a_3 a_5)) True)))))) % 4.93/5.08 Clause #40 (by clausification #[3]): ∀ (a : Iota), % 4.93/5.08 Eq % 4.93/5.08 (Exists fun BNODE_l1 => % 4.93/5.08 Exists fun BNODE_l2 => % 4.93/5.08 And % 4.93/5.08 (And % 4.93/5.08 (And % 4.93/5.08 (And % 4.93/5.08 (And % 4.93/5.08 (And % 4.93/5.08 (And (iext uri_rdf_type uri_ex_Eagle uri_ex_Species) % 4.93/5.08 (iext uri_rdf_type uri_ex_Falcon uri_ex_Species)) % 4.93/5.08 (iext uri_rdf_type uri_ex_harry (skS.0 1 a))) % 4.93/5.10 (iext uri_owl_unionOf (skS.0 1 a) BNODE_l1)) % 4.93/5.10 (iext uri_rdf_first BNODE_l1 uri_ex_Eagle)) % 4.93/5.10 (iext uri_rdf_rest BNODE_l1 BNODE_l2)) % 4.93/5.10 (iext uri_rdf_first BNODE_l2 uri_ex_Falcon)) % 4.93/5.10 (iext uri_rdf_rest BNODE_l2 uri_rdf_nil)) % 4.93/5.10 True % 4.93/5.10 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota), % 4.93/5.10 Eq % 4.93/5.10 (Exists fun BNODE_l2 => % 4.93/5.10 And % 4.93/5.10 (And % 4.93/5.10 (And % 4.93/5.10 (And % 4.93/5.10 (And % 4.93/5.10 (And % 4.93/5.10 (And (iext uri_rdf_type uri_ex_Eagle uri_ex_Species) (iext uri_rdf_type uri_ex_Falcon uri_ex_Species)) % 4.93/5.10 (iext uri_rdf_type uri_ex_harry (skS.0 1 a))) % 4.93/5.10 (iext uri_owl_unionOf (skS.0 1 a) (skS.0 2 a a_1))) % 4.93/5.10 (iext uri_rdf_first (skS.0 2 a a_1) uri_ex_Eagle)) % 4.93/5.10 (iext uri_rdf_rest (skS.0 2 a a_1) BNODE_l2)) % 4.93/5.10 (iext uri_rdf_first BNODE_l2 uri_ex_Falcon)) % 4.93/5.10 (iext uri_rdf_rest BNODE_l2 uri_rdf_nil)) % 4.93/5.10 True % 4.93/5.10 Clause #42 (by clausification #[41]): ∀ (a a_1 a_2 : Iota), % 4.93/5.10 Eq % 4.93/5.10 (And % 4.93/5.10 (And % 4.93/5.10 (And % 4.93/5.10 (And % 4.93/5.10 (And % 4.93/5.10 (And % 4.93/5.10 (And (iext uri_rdf_type uri_ex_Eagle uri_ex_Species) (iext uri_rdf_type uri_ex_Falcon uri_ex_Species)) % 4.93/5.10 (iext uri_rdf_type uri_ex_harry (skS.0 1 a))) % 4.93/5.10 (iext uri_owl_unionOf (skS.0 1 a) (skS.0 2 a a_1))) % 4.93/5.10 (iext uri_rdf_first (skS.0 2 a a_1) uri_ex_Eagle)) % 4.93/5.10 (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2))) % 4.93/5.10 (iext uri_rdf_first (skS.0 3 a a_1 a_2) uri_ex_Falcon)) % 4.93/5.10 (iext uri_rdf_rest (skS.0 3 a a_1 a_2) uri_rdf_nil)) % 4.93/5.10 True % 4.93/5.10 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 : Iota), Eq (iext uri_rdf_rest (skS.0 3 a a_1 a_2) uri_rdf_nil) True % 4.93/5.10 Clause #44 (by clausification #[42]): ∀ (a a_1 a_2 : Iota), % 4.93/5.10 Eq % 4.93/5.10 (And % 4.93/5.10 (And % 4.93/5.10 (And % 4.93/5.10 (And % 4.93/5.10 (And (And (iext uri_rdf_type uri_ex_Eagle uri_ex_Species) (iext uri_rdf_type uri_ex_Falcon uri_ex_Species)) % 4.93/5.10 (iext uri_rdf_type uri_ex_harry (skS.0 1 a))) % 4.93/5.10 (iext uri_owl_unionOf (skS.0 1 a) (skS.0 2 a a_1))) % 4.93/5.10 (iext uri_rdf_first (skS.0 2 a a_1) uri_ex_Eagle)) % 4.93/5.10 (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2))) % 4.93/5.10 (iext uri_rdf_first (skS.0 3 a a_1 a_2) uri_ex_Falcon)) % 4.93/5.10 True % 4.93/5.10 Clause #56 (by clausification #[37]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 4.93/5.10 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 4.93/5.10 (Or (Eq (iext uri_owl_unionOf a_1 a_2) False) % 4.93/5.10 (Or (Eq (iext uri_rdf_first a a_3) False) % 4.93/5.10 (Or (Eq (iext uri_rdf_first a_2 a_4) False) % 4.93/5.10 (Or (Eq (iext uri_rdf_rest a_2 a) False) % 4.93/5.10 (Or (Eq (icext a_1 a_5) False) (Or (Eq (icext a_4 a_5) True) (Eq (icext a_3 a_5) True))))))) % 4.93/5.10 Clause #57 (by superposition #[56, 43]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 4.93/5.10 Or (Eq (iext uri_owl_unionOf a a_1) False) % 4.93/5.10 (Or (Eq (iext uri_rdf_first (skS.0 3 a_2 a_3 a_4) a_5) False) % 4.93/5.10 (Or (Eq (iext uri_rdf_first a_1 a_6) False) % 4.93/5.10 (Or (Eq (iext uri_rdf_rest a_1 (skS.0 3 a_2 a_3 a_4)) False) % 4.93/5.10 (Or (Eq (icext a a_7) False) (Or (Eq (icext a_6 a_7) True) (Or (Eq (icext a_5 a_7) True) (Eq False True))))))) % 4.93/5.10 Clause #66 (by clausification #[57]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 4.93/5.10 Or (Eq (iext uri_owl_unionOf a a_1) False) % 4.93/5.10 (Or (Eq (iext uri_rdf_first (skS.0 3 a_2 a_3 a_4) a_5) False) % 4.93/5.10 (Or (Eq (iext uri_rdf_first a_1 a_6) False) % 4.93/5.10 (Or (Eq (iext uri_rdf_rest a_1 (skS.0 3 a_2 a_3 a_4)) False) % 4.93/5.10 (Or (Eq (icext a a_7) False) (Or (Eq (icext a_6 a_7) True) (Eq (icext a_5 a_7) True)))))) % 4.93/5.10 Clause #69 (by clausification #[44]): ∀ (a a_1 a_2 : Iota), Eq (iext uri_rdf_first (skS.0 3 a a_1 a_2) uri_ex_Falcon) True % 4.93/5.10 Clause #70 (by clausification #[44]): ∀ (a a_1 a_2 : Iota), % 4.93/5.10 Eq % 4.93/5.10 (And % 4.93/5.10 (And % 4.93/5.10 (And % 4.93/5.10 (And (And (iext uri_rdf_type uri_ex_Eagle uri_ex_Species) (iext uri_rdf_type uri_ex_Falcon uri_ex_Species)) % 4.93/5.10 (iext uri_rdf_type uri_ex_harry (skS.0 1 a))) % 4.93/5.10 (iext uri_owl_unionOf (skS.0 1 a) (skS.0 2 a a_1))) % 4.93/5.10 (iext uri_rdf_first (skS.0 2 a a_1) uri_ex_Eagle)) % 4.96/5.12 (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2))) % 4.96/5.12 True % 4.96/5.12 Clause #78 (by clausification #[70]): ∀ (a a_1 a_2 : Iota), Eq (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)) True % 4.96/5.12 Clause #79 (by clausification #[70]): ∀ (a a_1 : Iota), % 4.96/5.12 Eq % 4.96/5.12 (And % 4.96/5.12 (And % 4.96/5.12 (And (And (iext uri_rdf_type uri_ex_Eagle uri_ex_Species) (iext uri_rdf_type uri_ex_Falcon uri_ex_Species)) % 4.96/5.12 (iext uri_rdf_type uri_ex_harry (skS.0 1 a))) % 4.96/5.12 (iext uri_owl_unionOf (skS.0 1 a) (skS.0 2 a a_1))) % 4.96/5.12 (iext uri_rdf_first (skS.0 2 a a_1) uri_ex_Eagle)) % 4.96/5.12 True % 4.96/5.12 Clause #80 (by clausification #[79]): ∀ (a a_1 : Iota), Eq (iext uri_rdf_first (skS.0 2 a a_1) uri_ex_Eagle) True % 4.96/5.12 Clause #81 (by clausification #[79]): ∀ (a a_1 : Iota), % 4.96/5.12 Eq % 4.96/5.12 (And % 4.96/5.12 (And (And (iext uri_rdf_type uri_ex_Eagle uri_ex_Species) (iext uri_rdf_type uri_ex_Falcon uri_ex_Species)) % 4.96/5.12 (iext uri_rdf_type uri_ex_harry (skS.0 1 a))) % 4.96/5.12 (iext uri_owl_unionOf (skS.0 1 a) (skS.0 2 a a_1))) % 4.96/5.12 True % 4.96/5.12 Clause #84 (by clausification #[81]): ∀ (a a_1 : Iota), Eq (iext uri_owl_unionOf (skS.0 1 a) (skS.0 2 a a_1)) True % 4.96/5.12 Clause #85 (by clausification #[81]): ∀ (a : Iota), % 4.96/5.12 Eq % 4.96/5.12 (And (And (iext uri_rdf_type uri_ex_Eagle uri_ex_Species) (iext uri_rdf_type uri_ex_Falcon uri_ex_Species)) % 4.96/5.12 (iext uri_rdf_type uri_ex_harry (skS.0 1 a))) % 4.96/5.12 True % 4.96/5.12 Clause #91 (by superposition #[84, 66]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 4.96/5.12 Or (Eq True False) % 4.96/5.12 (Or (Eq (iext uri_rdf_first (skS.0 3 a a_1 a_2) a_3) False) % 4.96/5.12 (Or (Eq (iext uri_rdf_first (skS.0 2 a_4 a_5) a_6) False) % 4.96/5.12 (Or (Eq (iext uri_rdf_rest (skS.0 2 a_4 a_5) (skS.0 3 a a_1 a_2)) False) % 4.96/5.12 (Or (Eq (icext (skS.0 1 a_4) a_7) False) (Or (Eq (icext a_6 a_7) True) (Eq (icext a_3 a_7) True)))))) % 4.96/5.12 Clause #92 (by clausification #[85]): ∀ (a : Iota), Eq (iext uri_rdf_type uri_ex_harry (skS.0 1 a)) True % 4.96/5.12 Clause #93 (by clausification #[85]): Eq (And (iext uri_rdf_type uri_ex_Eagle uri_ex_Species) (iext uri_rdf_type uri_ex_Falcon uri_ex_Species)) True % 4.96/5.12 Clause #95 (by superposition #[92, 7]): ∀ (a : Iota), Or (Eq True False) (Eq (icext (skS.0 1 a) uri_ex_harry) True) % 4.96/5.12 Clause #98 (by clausification #[93]): Eq (iext uri_rdf_type uri_ex_Falcon uri_ex_Species) True % 4.96/5.12 Clause #99 (by clausification #[93]): Eq (iext uri_rdf_type uri_ex_Eagle uri_ex_Species) True % 4.96/5.12 Clause #109 (by clausification #[95]): ∀ (a : Iota), Eq (icext (skS.0 1 a) uri_ex_harry) True % 4.96/5.12 Clause #185 (by clausification #[91]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 4.96/5.12 Or (Eq (iext uri_rdf_first (skS.0 3 a a_1 a_2) a_3) False) % 4.96/5.12 (Or (Eq (iext uri_rdf_first (skS.0 2 a_4 a_5) a_6) False) % 4.96/5.12 (Or (Eq (iext uri_rdf_rest (skS.0 2 a_4 a_5) (skS.0 3 a a_1 a_2)) False) % 4.96/5.12 (Or (Eq (icext (skS.0 1 a_4) a_7) False) (Or (Eq (icext a_6 a_7) True) (Eq (icext a_3 a_7) True))))) % 4.96/5.12 Clause #186 (by superposition #[185, 69]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 4.96/5.12 Or (Eq (iext uri_rdf_first (skS.0 2 a a_1) a_2) False) % 4.96/5.12 (Or (Eq (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a_3 a_4 a_5)) False) % 4.96/5.12 (Or (Eq (icext (skS.0 1 a) a_6) False) % 4.96/5.12 (Or (Eq (icext a_2 a_6) True) (Or (Eq (icext uri_ex_Falcon a_6) True) (Eq False True))))) % 4.96/5.12 Clause #187 (by clausification #[186]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 4.96/5.12 Or (Eq (iext uri_rdf_first (skS.0 2 a a_1) a_2) False) % 4.96/5.12 (Or (Eq (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a_3 a_4 a_5)) False) % 4.96/5.12 (Or (Eq (icext (skS.0 1 a) a_6) False) (Or (Eq (icext a_2 a_6) True) (Eq (icext uri_ex_Falcon a_6) True)))) % 4.96/5.12 Clause #188 (by superposition #[187, 80]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 4.96/5.12 Or (Eq (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a_2 a_3 a_4)) False) % 4.96/5.12 (Or (Eq (icext (skS.0 1 a) a_5) False) % 4.96/5.12 (Or (Eq (icext uri_ex_Eagle a_5) True) (Or (Eq (icext uri_ex_Falcon a_5) True) (Eq False True)))) % 4.96/5.12 Clause #189 (by clausification #[188]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 4.96/5.12 Or (Eq (iext uri_rdf_rest (skS.0 2 a a_1) (skS.0 3 a_2 a_3 a_4)) False) % 4.96/5.12 (Or (Eq (icext (skS.0 1 a) a_5) False) (Or (Eq (icext uri_ex_Eagle a_5) True) (Eq (icext uri_ex_Falcon a_5) True))) % 4.96/5.13 Clause #190 (by superposition #[189, 78]): ∀ (a a_1 : Iota), % 4.96/5.13 Or (Eq (icext (skS.0 1 a) a_1) False) % 4.96/5.13 (Or (Eq (icext uri_ex_Eagle a_1) True) (Or (Eq (icext uri_ex_Falcon a_1) True) (Eq False True))) % 4.96/5.13 Clause #191 (by clausification #[190]): ∀ (a a_1 : Iota), % 4.96/5.13 Or (Eq (icext (skS.0 1 a) a_1) False) (Or (Eq (icext uri_ex_Eagle a_1) True) (Eq (icext uri_ex_Falcon a_1) True)) % 4.96/5.13 Clause #192 (by superposition #[191, 109]): Or (Eq (icext uri_ex_Eagle uri_ex_harry) True) (Or (Eq (icext uri_ex_Falcon uri_ex_harry) True) (Eq False True)) % 4.96/5.13 Clause #193 (by clausification #[192]): Or (Eq (icext uri_ex_Eagle uri_ex_harry) True) (Eq (icext uri_ex_Falcon uri_ex_harry) True) % 4.96/5.13 Clause #195 (by superposition #[193, 6]): Or (Eq (icext uri_ex_Falcon uri_ex_harry) True) % 4.96/5.13 (Or (Eq (iext uri_rdf_type uri_ex_harry uri_ex_Eagle) True) (Eq True False)) % 4.96/5.13 Clause #196 (by clausification #[195]): Or (Eq (icext uri_ex_Falcon uri_ex_harry) True) (Eq (iext uri_rdf_type uri_ex_harry uri_ex_Eagle) True) % 4.96/5.13 Clause #197 (by superposition #[196, 10]): Or (Eq (icext uri_ex_Falcon uri_ex_harry) True) % 4.96/5.13 (Or (Eq True False) (Eq (iext uri_rdf_type uri_ex_Eagle uri_ex_Species) False)) % 4.96/5.13 Clause #204 (by clausification #[197]): Or (Eq (icext uri_ex_Falcon uri_ex_harry) True) (Eq (iext uri_rdf_type uri_ex_Eagle uri_ex_Species) False) % 4.96/5.13 Clause #205 (by superposition #[204, 99]): Or (Eq (icext uri_ex_Falcon uri_ex_harry) True) (Eq False True) % 4.96/5.13 Clause #206 (by clausification #[205]): Eq (icext uri_ex_Falcon uri_ex_harry) True % 4.96/5.13 Clause #211 (by superposition #[206, 6]): Or (Eq (iext uri_rdf_type uri_ex_harry uri_ex_Falcon) True) (Eq True False) % 4.96/5.13 Clause #212 (by clausification #[211]): Eq (iext uri_rdf_type uri_ex_harry uri_ex_Falcon) True % 4.96/5.13 Clause #213 (by superposition #[212, 10]): Or (Eq True False) (Eq (iext uri_rdf_type uri_ex_Falcon uri_ex_Species) False) % 4.96/5.13 Clause #221 (by clausification #[213]): Eq (iext uri_rdf_type uri_ex_Falcon uri_ex_Species) False % 4.96/5.13 Clause #222 (by superposition #[221, 98]): Eq False True % 4.96/5.13 Clause #223 (by clausification #[222]): False % 4.96/5.13 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------