%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : PHI014+1 : TPTP v9.2.0. Released v7.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n023.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 07:57:56 PM UTC 2025 % Result : Theorem 3.71s 3.87s % Output : Proof 3.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : PHI014+1 : TPTP v9.2.0. Released v7.2.0. % 0.07/0.13 % Command : duper %s % 0.13/0.34 % Computer : n023.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 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Fri Oct 3 09:08:38 EDT 2025 % 0.13/0.35 % CPUTime : % 3.71/3.87 SZS status Theorem for theBenchmark.p % 3.71/3.87 SZS output start Proof for theBenchmark.p % 3.71/3.87 Clause #0 (by assumption #[]): Eq % 3.71/3.87 (∀ (F : Iota), % 3.71/3.87 property F → % 3.71/3.87 (Exists fun Y => And (object Y) (is_the Y F)) → ∀ (Z : Iota), object Z → is_the Z F → exemplifies_property F Z) % 3.71/3.87 True % 3.71/3.87 Clause #1 (by assumption #[]): Eq (∀ (X F : Iota), is_the X F → And (property F) (object X)) True % 3.71/3.87 Clause #2 (by assumption #[]): Eq % 3.71/3.87 (∀ (X : Iota), % 3.71/3.87 object X → % 3.71/3.87 Iff (exemplifies_property none_greater X) % 3.71/3.87 (And (exemplifies_property conceivable X) % 3.71/3.87 (Not % 3.71/3.87 (Exists fun Y => % 3.71/3.87 And (And (object Y) (exemplifies_relation greater_than Y X)) (exemplifies_property conceivable Y))))) % 3.71/3.87 True % 3.71/3.87 Clause #3 (by assumption #[]): Eq % 3.71/3.87 (∀ (X : Iota), % 3.71/3.87 object X → % 3.71/3.87 And (is_the X none_greater) (Not (exemplifies_property existence X)) → % 3.71/3.87 Exists fun Y => % 3.71/3.87 And (And (object Y) (exemplifies_relation greater_than Y X)) (exemplifies_property conceivable Y)) % 3.71/3.87 True % 3.71/3.87 Clause #4 (by assumption #[]): Eq (is_the god none_greater) True % 3.71/3.87 Clause #5 (by assumption #[]): Eq (Not (exemplifies_property existence god)) True % 3.71/3.87 Clause #6 (by clausification #[5]): Eq (exemplifies_property existence god) False % 3.71/3.87 Clause #7 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (F : Iota), is_the a F → And (property F) (object a)) True % 3.71/3.87 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Eq (is_the a a_1 → And (property a_1) (object a)) True % 3.71/3.87 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Or (Eq (is_the a a_1) False) (Eq (And (property a_1) (object a)) True) % 3.71/3.87 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Or (Eq (is_the a a_1) False) (Eq (object a) True) % 3.71/3.87 Clause #11 (by clausification #[9]): ∀ (a a_1 : Iota), Or (Eq (is_the a a_1) False) (Eq (property a_1) True) % 3.71/3.87 Clause #12 (by superposition #[10, 4]): Or (Eq (object god) True) (Eq False True) % 3.71/3.87 Clause #13 (by clausification #[12]): Eq (object god) True % 3.71/3.87 Clause #14 (by superposition #[11, 4]): Or (Eq (property none_greater) True) (Eq False True) % 3.71/3.87 Clause #15 (by clausification #[0]): ∀ (a : Iota), % 3.71/3.87 Eq % 3.71/3.87 (property a → % 3.71/3.87 (Exists fun Y => And (object Y) (is_the Y a)) → ∀ (Z : Iota), object Z → is_the Z a → exemplifies_property a Z) % 3.71/3.87 True % 3.71/3.87 Clause #16 (by clausification #[15]): ∀ (a : Iota), % 3.71/3.87 Or (Eq (property a) False) % 3.71/3.87 (Eq ((Exists fun Y => And (object Y) (is_the Y a)) → ∀ (Z : Iota), object Z → is_the Z a → exemplifies_property a Z) % 3.71/3.87 True) % 3.71/3.87 Clause #17 (by clausification #[16]): ∀ (a : Iota), % 3.71/3.87 Or (Eq (property a) False) % 3.71/3.87 (Or (Eq (Exists fun Y => And (object Y) (is_the Y a)) False) % 3.71/3.87 (Eq (∀ (Z : Iota), object Z → is_the Z a → exemplifies_property a Z) True)) % 3.71/3.87 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), % 3.71/3.87 Or (Eq (property a) False) % 3.71/3.87 (Or (Eq (∀ (Z : Iota), object Z → is_the Z a → exemplifies_property a Z) True) % 3.71/3.87 (Eq (And (object a_1) (is_the a_1 a)) False)) % 3.71/3.87 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : Iota), % 3.71/3.87 Or (Eq (property a) False) % 3.71/3.87 (Or (Eq (And (object a_1) (is_the a_1 a)) False) (Eq (object a_2 → is_the a_2 a → exemplifies_property a a_2) True)) % 3.71/3.87 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 : Iota), % 3.71/3.87 Or (Eq (property a) False) % 3.71/3.87 (Or (Eq (object a_1 → is_the a_1 a → exemplifies_property a a_1) True) % 3.71/3.87 (Or (Eq (object a_2) False) (Eq (is_the a_2 a) False))) % 3.71/3.87 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 : Iota), % 3.71/3.87 Or (Eq (property a) False) % 3.71/3.87 (Or (Eq (object a_1) False) % 3.71/3.87 (Or (Eq (is_the a_1 a) False) (Or (Eq (object a_2) False) (Eq (is_the a_2 a → exemplifies_property a a_2) True)))) % 3.71/3.87 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 : Iota), % 3.71/3.87 Or (Eq (property a) False) % 3.71/3.87 (Or (Eq (object a_1) False) % 3.71/3.87 (Or (Eq (is_the a_1 a) False) % 3.71/3.87 (Or (Eq (object a_2) False) (Or (Eq (is_the a_2 a) False) (Eq (exemplifies_property a a_2) True))))) % 3.71/3.87 Clause #23 (by clausification #[14]): Eq (property none_greater) True % 3.71/3.87 Clause #24 (by superposition #[23, 22]): ∀ (a a_1 : Iota), % 3.71/3.87 Or (Eq True False) % 3.71/3.87 (Or (Eq (object a) False) % 3.71/3.89 (Or (Eq (is_the a none_greater) False) % 3.71/3.89 (Or (Eq (object a_1) False) % 3.71/3.89 (Or (Eq (is_the a_1 none_greater) False) (Eq (exemplifies_property none_greater a_1) True))))) % 3.71/3.89 Clause #25 (by clausification #[3]): ∀ (a : Iota), % 3.71/3.89 Eq % 3.71/3.89 (object a → % 3.71/3.89 And (is_the a none_greater) (Not (exemplifies_property existence a)) → % 3.71/3.89 Exists fun Y => % 3.71/3.89 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y)) % 3.71/3.89 True % 3.71/3.89 Clause #26 (by clausification #[25]): ∀ (a : Iota), % 3.71/3.89 Or (Eq (object a) False) % 3.71/3.89 (Eq % 3.71/3.89 (And (is_the a none_greater) (Not (exemplifies_property existence a)) → % 3.71/3.89 Exists fun Y => % 3.71/3.89 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y)) % 3.71/3.89 True) % 3.71/3.89 Clause #27 (by clausification #[26]): ∀ (a : Iota), % 3.71/3.89 Or (Eq (object a) False) % 3.71/3.89 (Or (Eq (And (is_the a none_greater) (Not (exemplifies_property existence a))) False) % 3.71/3.89 (Eq % 3.71/3.89 (Exists fun Y => % 3.71/3.89 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y)) % 3.71/3.89 True)) % 3.71/3.89 Clause #28 (by clausification #[27]): ∀ (a : Iota), % 3.71/3.89 Or (Eq (object a) False) % 3.71/3.89 (Or % 3.71/3.89 (Eq % 3.71/3.89 (Exists fun Y => % 3.71/3.89 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y)) % 3.71/3.89 True) % 3.71/3.89 (Or (Eq (is_the a none_greater) False) (Eq (Not (exemplifies_property existence a)) False))) % 3.71/3.89 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), % 3.71/3.89 Or (Eq (object a) False) % 3.71/3.89 (Or (Eq (is_the a none_greater) False) % 3.71/3.89 (Or (Eq (Not (exemplifies_property existence a)) False) % 3.71/3.89 (Eq % 3.71/3.89 (And (And (object (skS.0 0 a a_1)) (exemplifies_relation greater_than (skS.0 0 a a_1) a)) % 3.71/3.89 (exemplifies_property conceivable (skS.0 0 a a_1))) % 3.71/3.89 True))) % 3.71/3.89 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota), % 3.71/3.89 Or (Eq (object a) False) % 3.71/3.89 (Or (Eq (is_the a none_greater) False) % 3.71/3.89 (Or % 3.71/3.89 (Eq % 3.71/3.89 (And (And (object (skS.0 0 a a_1)) (exemplifies_relation greater_than (skS.0 0 a a_1) a)) % 3.71/3.89 (exemplifies_property conceivable (skS.0 0 a a_1))) % 3.71/3.89 True) % 3.71/3.89 (Eq (exemplifies_property existence a) True))) % 3.71/3.89 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota), % 3.71/3.89 Or (Eq (object a) False) % 3.71/3.89 (Or (Eq (is_the a none_greater) False) % 3.71/3.89 (Or (Eq (exemplifies_property existence a) True) (Eq (exemplifies_property conceivable (skS.0 0 a a_1)) True))) % 3.71/3.89 Clause #32 (by clausification #[30]): ∀ (a a_1 : Iota), % 3.71/3.89 Or (Eq (object a) False) % 3.71/3.89 (Or (Eq (is_the a none_greater) False) % 3.71/3.89 (Or (Eq (exemplifies_property existence a) True) % 3.71/3.89 (Eq (And (object (skS.0 0 a a_1)) (exemplifies_relation greater_than (skS.0 0 a a_1) a)) True))) % 3.71/3.89 Clause #33 (by superposition #[31, 13]): ∀ (a : Iota), % 3.71/3.89 Or (Eq (is_the god none_greater) False) % 3.71/3.89 (Or (Eq (exemplifies_property existence god) True) % 3.71/3.89 (Or (Eq (exemplifies_property conceivable (skS.0 0 god a)) True) (Eq False True))) % 3.71/3.89 Clause #34 (by clausification #[24]): ∀ (a a_1 : Iota), % 3.71/3.89 Or (Eq (object a) False) % 3.71/3.89 (Or (Eq (is_the a none_greater) False) % 3.71/3.89 (Or (Eq (object a_1) False) % 3.71/3.89 (Or (Eq (is_the a_1 none_greater) False) (Eq (exemplifies_property none_greater a_1) True)))) % 3.71/3.89 Clause #35 (by superposition #[34, 13]): ∀ (a : Iota), % 3.71/3.89 Or (Eq (is_the god none_greater) False) % 3.71/3.89 (Or (Eq (object a) False) % 3.71/3.89 (Or (Eq (is_the a none_greater) False) (Or (Eq (exemplifies_property none_greater a) True) (Eq False True)))) % 3.71/3.89 Clause #36 (by clausification #[35]): ∀ (a : Iota), % 3.71/3.89 Or (Eq (is_the god none_greater) False) % 3.71/3.89 (Or (Eq (object a) False) (Or (Eq (is_the a none_greater) False) (Eq (exemplifies_property none_greater a) True))) % 3.71/3.89 Clause #37 (by superposition #[36, 4]): ∀ (a : Iota), % 3.71/3.89 Or (Eq (object a) False) % 3.71/3.89 (Or (Eq (is_the a none_greater) False) (Or (Eq (exemplifies_property none_greater a) True) (Eq False True))) % 3.71/3.89 Clause #38 (by clausification #[37]): ∀ (a : Iota), % 3.71/3.89 Or (Eq (object a) False) (Or (Eq (is_the a none_greater) False) (Eq (exemplifies_property none_greater a) True)) % 3.71/3.91 Clause #39 (by superposition #[38, 13]): Or (Eq (is_the god none_greater) False) (Or (Eq (exemplifies_property none_greater god) True) (Eq False True)) % 3.71/3.91 Clause #40 (by clausification #[2]): ∀ (a : Iota), % 3.71/3.91 Eq % 3.71/3.91 (object a → % 3.71/3.91 Iff (exemplifies_property none_greater a) % 3.71/3.91 (And (exemplifies_property conceivable a) % 3.71/3.91 (Not % 3.71/3.91 (Exists fun Y => % 3.71/3.91 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y))))) % 3.71/3.91 True % 3.71/3.91 Clause #41 (by clausification #[40]): ∀ (a : Iota), % 3.71/3.91 Or (Eq (object a) False) % 3.71/3.91 (Eq % 3.71/3.91 (Iff (exemplifies_property none_greater a) % 3.71/3.91 (And (exemplifies_property conceivable a) % 3.71/3.91 (Not % 3.71/3.91 (Exists fun Y => % 3.71/3.91 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y))))) % 3.71/3.91 True) % 3.71/3.91 Clause #43 (by clausification #[41]): ∀ (a : Iota), % 3.71/3.91 Or (Eq (object a) False) % 3.71/3.91 (Or (Eq (exemplifies_property none_greater a) False) % 3.71/3.91 (Eq % 3.71/3.91 (And (exemplifies_property conceivable a) % 3.71/3.91 (Not % 3.71/3.91 (Exists fun Y => % 3.71/3.91 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y)))) % 3.71/3.91 True)) % 3.71/3.91 Clause #50 (by clausification #[39]): Or (Eq (is_the god none_greater) False) (Eq (exemplifies_property none_greater god) True) % 3.71/3.91 Clause #51 (by superposition #[50, 4]): Or (Eq (exemplifies_property none_greater god) True) (Eq False True) % 3.71/3.91 Clause #52 (by clausification #[51]): Eq (exemplifies_property none_greater god) True % 3.71/3.91 Clause #54 (by clausification #[33]): ∀ (a : Iota), % 3.71/3.91 Or (Eq (is_the god none_greater) False) % 3.71/3.91 (Or (Eq (exemplifies_property existence god) True) (Eq (exemplifies_property conceivable (skS.0 0 god a)) True)) % 3.71/3.91 Clause #55 (by forward demodulation #[54, 4]): ∀ (a : Iota), % 3.71/3.91 Or (Eq True False) % 3.71/3.91 (Or (Eq (exemplifies_property existence god) True) (Eq (exemplifies_property conceivable (skS.0 0 god a)) True)) % 3.71/3.91 Clause #56 (by clausification #[55]): ∀ (a : Iota), % 3.71/3.91 Or (Eq (exemplifies_property existence god) True) (Eq (exemplifies_property conceivable (skS.0 0 god a)) True) % 3.71/3.91 Clause #57 (by forward demodulation #[56, 6]): ∀ (a : Iota), Or (Eq False True) (Eq (exemplifies_property conceivable (skS.0 0 god a)) True) % 3.71/3.91 Clause #58 (by clausification #[57]): ∀ (a : Iota), Eq (exemplifies_property conceivable (skS.0 0 god a)) True % 3.71/3.91 Clause #61 (by clausification #[32]): ∀ (a a_1 : Iota), % 3.71/3.91 Or (Eq (object a) False) % 3.71/3.91 (Or (Eq (is_the a none_greater) False) % 3.71/3.91 (Or (Eq (exemplifies_property existence a) True) (Eq (exemplifies_relation greater_than (skS.0 0 a a_1) a) True))) % 3.71/3.91 Clause #62 (by clausification #[32]): ∀ (a a_1 : Iota), % 3.71/3.91 Or (Eq (object a) False) % 3.71/3.91 (Or (Eq (is_the a none_greater) False) % 3.71/3.91 (Or (Eq (exemplifies_property existence a) True) (Eq (object (skS.0 0 a a_1)) True))) % 3.71/3.91 Clause #63 (by superposition #[61, 13]): ∀ (a : Iota), % 3.71/3.91 Or (Eq (is_the god none_greater) False) % 3.71/3.91 (Or (Eq (exemplifies_property existence god) True) % 3.71/3.91 (Or (Eq (exemplifies_relation greater_than (skS.0 0 god a) god) True) (Eq False True))) % 3.71/3.91 Clause #64 (by superposition #[62, 13]): ∀ (a : Iota), % 3.71/3.91 Or (Eq (is_the god none_greater) False) % 3.71/3.91 (Or (Eq (exemplifies_property existence god) True) (Or (Eq (object (skS.0 0 god a)) True) (Eq False True))) % 3.71/3.91 Clause #65 (by clausification #[64]): ∀ (a : Iota), % 3.71/3.91 Or (Eq (is_the god none_greater) False) % 3.71/3.91 (Or (Eq (exemplifies_property existence god) True) (Eq (object (skS.0 0 god a)) True)) % 3.71/3.91 Clause #66 (by forward demodulation #[65, 4]): ∀ (a : Iota), Or (Eq True False) (Or (Eq (exemplifies_property existence god) True) (Eq (object (skS.0 0 god a)) True)) % 3.71/3.91 Clause #67 (by clausification #[66]): ∀ (a : Iota), Or (Eq (exemplifies_property existence god) True) (Eq (object (skS.0 0 god a)) True) % 3.71/3.91 Clause #68 (by forward demodulation #[67, 6]): ∀ (a : Iota), Or (Eq False True) (Eq (object (skS.0 0 god a)) True) % 3.71/3.91 Clause #69 (by clausification #[68]): ∀ (a : Iota), Eq (object (skS.0 0 god a)) True % 3.71/3.91 Clause #76 (by clausification #[63]): ∀ (a : Iota), % 3.71/3.91 Or (Eq (is_the god none_greater) False) % 3.71/3.92 (Or (Eq (exemplifies_property existence god) True) % 3.71/3.92 (Eq (exemplifies_relation greater_than (skS.0 0 god a) god) True)) % 3.71/3.92 Clause #77 (by forward demodulation #[76, 4]): ∀ (a : Iota), % 3.71/3.92 Or (Eq True False) % 3.71/3.92 (Or (Eq (exemplifies_property existence god) True) % 3.71/3.92 (Eq (exemplifies_relation greater_than (skS.0 0 god a) god) True)) % 3.71/3.92 Clause #78 (by clausification #[77]): ∀ (a : Iota), % 3.71/3.92 Or (Eq (exemplifies_property existence god) True) (Eq (exemplifies_relation greater_than (skS.0 0 god a) god) True) % 3.71/3.92 Clause #79 (by forward demodulation #[78, 6]): ∀ (a : Iota), Or (Eq False True) (Eq (exemplifies_relation greater_than (skS.0 0 god a) god) True) % 3.71/3.92 Clause #80 (by clausification #[79]): ∀ (a : Iota), Eq (exemplifies_relation greater_than (skS.0 0 god a) god) True % 3.71/3.92 Clause #83 (by clausification #[43]): ∀ (a : Iota), % 3.71/3.92 Or (Eq (object a) False) % 3.71/3.92 (Or (Eq (exemplifies_property none_greater a) False) % 3.71/3.92 (Eq % 3.71/3.92 (Not % 3.71/3.92 (Exists fun Y => % 3.71/3.92 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y))) % 3.71/3.92 True)) % 3.71/3.92 Clause #85 (by clausification #[83]): ∀ (a : Iota), % 3.71/3.92 Or (Eq (object a) False) % 3.71/3.92 (Or (Eq (exemplifies_property none_greater a) False) % 3.71/3.92 (Eq % 3.71/3.92 (Exists fun Y => % 3.71/3.92 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y)) % 3.71/3.92 False)) % 3.71/3.92 Clause #86 (by clausification #[85]): ∀ (a a_1 : Iota), % 3.71/3.92 Or (Eq (object a) False) % 3.71/3.92 (Or (Eq (exemplifies_property none_greater a) False) % 3.71/3.92 (Eq (And (And (object a_1) (exemplifies_relation greater_than a_1 a)) (exemplifies_property conceivable a_1)) % 3.71/3.92 False)) % 3.71/3.92 Clause #87 (by clausification #[86]): ∀ (a a_1 : Iota), % 3.71/3.92 Or (Eq (object a) False) % 3.71/3.92 (Or (Eq (exemplifies_property none_greater a) False) % 3.71/3.92 (Or (Eq (And (object a_1) (exemplifies_relation greater_than a_1 a)) False) % 3.71/3.92 (Eq (exemplifies_property conceivable a_1) False))) % 3.71/3.92 Clause #88 (by clausification #[87]): ∀ (a a_1 : Iota), % 3.71/3.92 Or (Eq (object a) False) % 3.71/3.92 (Or (Eq (exemplifies_property none_greater a) False) % 3.71/3.92 (Or (Eq (exemplifies_property conceivable a_1) False) % 3.71/3.92 (Or (Eq (object a_1) False) (Eq (exemplifies_relation greater_than a_1 a) False)))) % 3.71/3.92 Clause #89 (by superposition #[88, 13]): ∀ (a : Iota), % 3.71/3.92 Or (Eq (exemplifies_property none_greater god) False) % 3.71/3.92 (Or (Eq (exemplifies_property conceivable a) False) % 3.71/3.92 (Or (Eq (object a) False) (Or (Eq (exemplifies_relation greater_than a god) False) (Eq False True)))) % 3.71/3.92 Clause #97 (by clausification #[89]): ∀ (a : Iota), % 3.71/3.92 Or (Eq (exemplifies_property none_greater god) False) % 3.71/3.92 (Or (Eq (exemplifies_property conceivable a) False) % 3.71/3.92 (Or (Eq (object a) False) (Eq (exemplifies_relation greater_than a god) False))) % 3.71/3.92 Clause #98 (by forward demodulation #[97, 52]): ∀ (a : Iota), % 3.71/3.92 Or (Eq True False) % 3.71/3.92 (Or (Eq (exemplifies_property conceivable a) False) % 3.71/3.92 (Or (Eq (object a) False) (Eq (exemplifies_relation greater_than a god) False))) % 3.71/3.92 Clause #99 (by clausification #[98]): ∀ (a : Iota), % 3.71/3.92 Or (Eq (exemplifies_property conceivable a) False) % 3.71/3.92 (Or (Eq (object a) False) (Eq (exemplifies_relation greater_than a god) False)) % 3.71/3.92 Clause #100 (by superposition #[99, 58]): ∀ (a : Iota), % 3.71/3.92 Or (Eq (object (skS.0 0 god a)) False) % 3.71/3.92 (Or (Eq (exemplifies_relation greater_than (skS.0 0 god a) god) False) (Eq False True)) % 3.71/3.92 Clause #115 (by clausification #[100]): ∀ (a : Iota), Or (Eq (object (skS.0 0 god a)) False) (Eq (exemplifies_relation greater_than (skS.0 0 god a) god) False) % 3.71/3.92 Clause #116 (by forward demodulation #[115, 69]): ∀ (a : Iota), Or (Eq True False) (Eq (exemplifies_relation greater_than (skS.0 0 god a) god) False) % 3.71/3.92 Clause #117 (by clausification #[116]): ∀ (a : Iota), Eq (exemplifies_relation greater_than (skS.0 0 god a) god) False % 3.71/3.92 Clause #118 (by superposition #[117, 80]): Eq False True % 3.71/3.92 Clause #120 (by clausification #[118]): False % 3.71/3.92 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------