TSTP Solution File: PHI013+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : PHI013+1 : TPTP v8.1.2. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n002.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 : Thu Aug 31 12:55:17 EDT 2023
% Result : Theorem 3.71s 3.88s
% Output : Proof 3.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PHI013+1 : TPTP v8.1.2. Released v7.2.0.
% 0.11/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 09:06:33 EDT 2023
% 0.15/0.35 % CPUTime :
% 3.71/3.88 SZS status Theorem for theBenchmark.p
% 3.71/3.88 SZS output start Proof for theBenchmark.p
% 3.71/3.88 Clause #1 (by assumption #[]): Eq
% 3.71/3.88 (∀ (F : Iota),
% 3.71/3.88 property F →
% 3.71/3.88 (Exists fun Y => And (object Y) (is_the Y F)) → ∀ (Z : Iota), object Z → is_the Z F → exemplifies_property F Z)
% 3.71/3.88 True
% 3.71/3.88 Clause #2 (by assumption #[]): Eq (∀ (X F : Iota), is_the X F → And (property F) (object X)) True
% 3.71/3.88 Clause #3 (by assumption #[]): Eq
% 3.71/3.88 (∀ (X : Iota),
% 3.71/3.88 object X →
% 3.71/3.88 Iff (exemplifies_property none_greater X)
% 3.71/3.88 (And (exemplifies_property conceivable X)
% 3.71/3.88 (Not
% 3.71/3.88 (Exists fun Y =>
% 3.71/3.88 And (And (object Y) (exemplifies_relation greater_than Y X)) (exemplifies_property conceivable Y)))))
% 3.71/3.88 True
% 3.71/3.88 Clause #6 (by assumption #[]): Eq
% 3.71/3.88 (∀ (X : Iota),
% 3.71/3.88 object X →
% 3.71/3.88 And (is_the X none_greater) (Not (exemplifies_property existence X)) →
% 3.71/3.88 Exists fun Y =>
% 3.71/3.88 And (And (object Y) (exemplifies_relation greater_than Y X)) (exemplifies_property conceivable Y))
% 3.71/3.88 True
% 3.71/3.88 Clause #7 (by assumption #[]): Eq (is_the god none_greater) True
% 3.71/3.88 Clause #8 (by assumption #[]): Eq (Not (exemplifies_property existence god)) True
% 3.71/3.88 Clause #9 (by clausification #[8]): Eq (exemplifies_property existence god) False
% 3.71/3.88 Clause #10 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (F : Iota), is_the a F → And (property F) (object a)) True
% 3.71/3.88 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (is_the a a_1 → And (property a_1) (object a)) True
% 3.71/3.88 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Or (Eq (is_the a a_1) False) (Eq (And (property a_1) (object a)) True)
% 3.71/3.88 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Or (Eq (is_the a a_1) False) (Eq (object a) True)
% 3.71/3.88 Clause #14 (by clausification #[12]): ∀ (a a_1 : Iota), Or (Eq (is_the a a_1) False) (Eq (property a_1) True)
% 3.71/3.88 Clause #15 (by superposition #[13, 7]): Or (Eq (object god) True) (Eq False True)
% 3.71/3.88 Clause #16 (by clausification #[15]): Eq (object god) True
% 3.71/3.88 Clause #17 (by superposition #[14, 7]): Or (Eq (property none_greater) True) (Eq False True)
% 3.71/3.88 Clause #31 (by clausification #[17]): Eq (property none_greater) True
% 3.71/3.88 Clause #36 (by clausification #[1]): ∀ (a : Iota),
% 3.71/3.88 Eq
% 3.71/3.88 (property a →
% 3.71/3.88 (Exists fun Y => And (object Y) (is_the Y a)) → ∀ (Z : Iota), object Z → is_the Z a → exemplifies_property a Z)
% 3.71/3.88 True
% 3.71/3.88 Clause #37 (by clausification #[36]): ∀ (a : Iota),
% 3.71/3.88 Or (Eq (property a) False)
% 3.71/3.88 (Eq ((Exists fun Y => And (object Y) (is_the Y a)) → ∀ (Z : Iota), object Z → is_the Z a → exemplifies_property a Z)
% 3.71/3.88 True)
% 3.71/3.88 Clause #38 (by clausification #[37]): ∀ (a : Iota),
% 3.71/3.88 Or (Eq (property a) False)
% 3.71/3.88 (Or (Eq (Exists fun Y => And (object Y) (is_the Y a)) False)
% 3.71/3.88 (Eq (∀ (Z : Iota), object Z → is_the Z a → exemplifies_property a Z) True))
% 3.71/3.88 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota),
% 3.71/3.88 Or (Eq (property a) False)
% 3.71/3.88 (Or (Eq (∀ (Z : Iota), object Z → is_the Z a → exemplifies_property a Z) True)
% 3.71/3.88 (Eq (And (object a_1) (is_the a_1 a)) False))
% 3.71/3.88 Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 : Iota),
% 3.71/3.88 Or (Eq (property a) False)
% 3.71/3.88 (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))
% 3.71/3.88 Clause #41 (by clausification #[40]): ∀ (a a_1 a_2 : Iota),
% 3.71/3.88 Or (Eq (property a) False)
% 3.71/3.88 (Or (Eq (object a_1 → is_the a_1 a → exemplifies_property a a_1) True)
% 3.71/3.88 (Or (Eq (object a_2) False) (Eq (is_the a_2 a) False)))
% 3.71/3.88 Clause #42 (by clausification #[41]): ∀ (a a_1 a_2 : Iota),
% 3.71/3.88 Or (Eq (property a) False)
% 3.71/3.88 (Or (Eq (object a_1) False)
% 3.71/3.88 (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))))
% 3.71/3.88 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 : Iota),
% 3.71/3.88 Or (Eq (property a) False)
% 3.71/3.88 (Or (Eq (object a_1) False)
% 3.71/3.88 (Or (Eq (is_the a_1 a) False)
% 3.71/3.88 (Or (Eq (object a_2) False) (Or (Eq (is_the a_2 a) False) (Eq (exemplifies_property a a_2) True)))))
% 3.71/3.88 Clause #44 (by superposition #[43, 31]): ∀ (a a_1 : Iota),
% 3.71/3.88 Or (Eq (object a) False)
% 3.71/3.88 (Or (Eq (is_the a none_greater) False)
% 3.75/3.89 (Or (Eq (object a_1) False)
% 3.75/3.89 (Or (Eq (is_the a_1 none_greater) False)
% 3.75/3.89 (Or (Eq (exemplifies_property none_greater a_1) True) (Eq False True)))))
% 3.75/3.89 Clause #45 (by clausification #[6]): ∀ (a : Iota),
% 3.75/3.89 Eq
% 3.75/3.89 (object a →
% 3.75/3.89 And (is_the a none_greater) (Not (exemplifies_property existence a)) →
% 3.75/3.89 Exists fun Y =>
% 3.75/3.89 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y))
% 3.75/3.89 True
% 3.75/3.89 Clause #46 (by clausification #[45]): ∀ (a : Iota),
% 3.75/3.89 Or (Eq (object a) False)
% 3.75/3.89 (Eq
% 3.75/3.89 (And (is_the a none_greater) (Not (exemplifies_property existence a)) →
% 3.75/3.89 Exists fun Y =>
% 3.75/3.89 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y))
% 3.75/3.89 True)
% 3.75/3.89 Clause #47 (by clausification #[46]): ∀ (a : Iota),
% 3.75/3.89 Or (Eq (object a) False)
% 3.75/3.89 (Or (Eq (And (is_the a none_greater) (Not (exemplifies_property existence a))) False)
% 3.75/3.89 (Eq
% 3.75/3.89 (Exists fun Y =>
% 3.75/3.89 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y))
% 3.75/3.89 True))
% 3.75/3.89 Clause #48 (by clausification #[47]): ∀ (a : Iota),
% 3.75/3.89 Or (Eq (object a) False)
% 3.75/3.89 (Or
% 3.75/3.89 (Eq
% 3.75/3.89 (Exists fun Y =>
% 3.75/3.89 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y))
% 3.75/3.89 True)
% 3.75/3.89 (Or (Eq (is_the a none_greater) False) (Eq (Not (exemplifies_property existence a)) False)))
% 3.75/3.89 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota),
% 3.75/3.89 Or (Eq (object a) False)
% 3.75/3.89 (Or (Eq (is_the a none_greater) False)
% 3.75/3.89 (Or (Eq (Not (exemplifies_property existence a)) False)
% 3.75/3.89 (Eq
% 3.75/3.89 (And (And (object (skS.0 3 a a_1)) (exemplifies_relation greater_than (skS.0 3 a a_1) a))
% 3.75/3.89 (exemplifies_property conceivable (skS.0 3 a a_1)))
% 3.75/3.89 True)))
% 3.75/3.89 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota),
% 3.75/3.89 Or (Eq (object a) False)
% 3.75/3.89 (Or (Eq (is_the a none_greater) False)
% 3.75/3.89 (Or
% 3.75/3.89 (Eq
% 3.75/3.89 (And (And (object (skS.0 3 a a_1)) (exemplifies_relation greater_than (skS.0 3 a a_1) a))
% 3.75/3.89 (exemplifies_property conceivable (skS.0 3 a a_1)))
% 3.75/3.89 True)
% 3.75/3.89 (Eq (exemplifies_property existence a) True)))
% 3.75/3.89 Clause #51 (by clausification #[50]): ∀ (a a_1 : Iota),
% 3.75/3.89 Or (Eq (object a) False)
% 3.75/3.89 (Or (Eq (is_the a none_greater) False)
% 3.75/3.89 (Or (Eq (exemplifies_property existence a) True) (Eq (exemplifies_property conceivable (skS.0 3 a a_1)) True)))
% 3.75/3.89 Clause #52 (by clausification #[50]): ∀ (a a_1 : Iota),
% 3.75/3.89 Or (Eq (object a) False)
% 3.75/3.89 (Or (Eq (is_the a none_greater) False)
% 3.75/3.89 (Or (Eq (exemplifies_property existence a) True)
% 3.75/3.89 (Eq (And (object (skS.0 3 a a_1)) (exemplifies_relation greater_than (skS.0 3 a a_1) a)) True)))
% 3.75/3.89 Clause #53 (by superposition #[51, 16]): ∀ (a : Iota),
% 3.75/3.89 Or (Eq (is_the god none_greater) False)
% 3.75/3.89 (Or (Eq (exemplifies_property existence god) True)
% 3.75/3.89 (Or (Eq (exemplifies_property conceivable (skS.0 3 god a)) True) (Eq False True)))
% 3.75/3.89 Clause #55 (by clausification #[3]): ∀ (a : Iota),
% 3.75/3.90 Eq
% 3.75/3.90 (object a →
% 3.75/3.90 Iff (exemplifies_property none_greater a)
% 3.75/3.90 (And (exemplifies_property conceivable a)
% 3.75/3.90 (Not
% 3.75/3.90 (Exists fun Y =>
% 3.75/3.90 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y)))))
% 3.75/3.90 True
% 3.75/3.90 Clause #56 (by clausification #[55]): ∀ (a : Iota),
% 3.75/3.90 Or (Eq (object a) False)
% 3.75/3.90 (Eq
% 3.75/3.90 (Iff (exemplifies_property none_greater a)
% 3.75/3.90 (And (exemplifies_property conceivable a)
% 3.75/3.90 (Not
% 3.75/3.90 (Exists fun Y =>
% 3.75/3.90 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y)))))
% 3.75/3.90 True)
% 3.75/3.90 Clause #58 (by clausification #[56]): ∀ (a : Iota),
% 3.75/3.90 Or (Eq (object a) False)
% 3.75/3.90 (Or (Eq (exemplifies_property none_greater a) False)
% 3.75/3.90 (Eq
% 3.75/3.90 (And (exemplifies_property conceivable a)
% 3.75/3.90 (Not
% 3.75/3.90 (Exists fun Y =>
% 3.75/3.90 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y))))
% 3.75/3.90 True))
% 3.75/3.91 Clause #79 (by clausification #[44]): ∀ (a a_1 : Iota),
% 3.75/3.91 Or (Eq (object a) False)
% 3.75/3.91 (Or (Eq (is_the a none_greater) False)
% 3.75/3.91 (Or (Eq (object a_1) False)
% 3.75/3.91 (Or (Eq (is_the a_1 none_greater) False) (Eq (exemplifies_property none_greater a_1) True))))
% 3.75/3.91 Clause #80 (by superposition #[79, 16]): ∀ (a : Iota),
% 3.75/3.91 Or (Eq (is_the god none_greater) False)
% 3.75/3.91 (Or (Eq (object a) False)
% 3.75/3.91 (Or (Eq (is_the a none_greater) False) (Or (Eq (exemplifies_property none_greater a) True) (Eq False True))))
% 3.75/3.91 Clause #82 (by clausification #[80]): ∀ (a : Iota),
% 3.75/3.91 Or (Eq (is_the god none_greater) False)
% 3.75/3.91 (Or (Eq (object a) False) (Or (Eq (is_the a none_greater) False) (Eq (exemplifies_property none_greater a) True)))
% 3.75/3.91 Clause #83 (by superposition #[82, 7]): ∀ (a : Iota),
% 3.75/3.91 Or (Eq (object a) False)
% 3.75/3.91 (Or (Eq (is_the a none_greater) False) (Or (Eq (exemplifies_property none_greater a) True) (Eq False True)))
% 3.75/3.91 Clause #84 (by clausification #[83]): ∀ (a : Iota),
% 3.75/3.91 Or (Eq (object a) False) (Or (Eq (is_the a none_greater) False) (Eq (exemplifies_property none_greater a) True))
% 3.75/3.92 Clause #85 (by superposition #[84, 16]): Or (Eq (is_the god none_greater) False) (Or (Eq (exemplifies_property none_greater god) True) (Eq False True))
% 3.75/3.92 Clause #93 (by clausification #[85]): Or (Eq (is_the god none_greater) False) (Eq (exemplifies_property none_greater god) True)
% 3.75/3.92 Clause #94 (by superposition #[93, 7]): Or (Eq (exemplifies_property none_greater god) True) (Eq False True)
% 3.75/3.92 Clause #95 (by clausification #[94]): Eq (exemplifies_property none_greater god) True
% 3.75/3.92 Clause #123 (by clausification #[53]): ∀ (a : Iota),
% 3.75/3.92 Or (Eq (is_the god none_greater) False)
% 3.75/3.92 (Or (Eq (exemplifies_property existence god) True) (Eq (exemplifies_property conceivable (skS.0 3 god a)) True))
% 3.75/3.92 Clause #124 (by forward demodulation #[123, 7]): ∀ (a : Iota),
% 3.75/3.92 Or (Eq True False)
% 3.75/3.92 (Or (Eq (exemplifies_property existence god) True) (Eq (exemplifies_property conceivable (skS.0 3 god a)) True))
% 3.75/3.92 Clause #125 (by clausification #[124]): ∀ (a : Iota),
% 3.75/3.92 Or (Eq (exemplifies_property existence god) True) (Eq (exemplifies_property conceivable (skS.0 3 god a)) True)
% 3.75/3.92 Clause #126 (by forward demodulation #[125, 9]): ∀ (a : Iota), Or (Eq False True) (Eq (exemplifies_property conceivable (skS.0 3 god a)) True)
% 3.75/3.92 Clause #127 (by clausification #[126]): ∀ (a : Iota), Eq (exemplifies_property conceivable (skS.0 3 god a)) True
% 3.75/3.92 Clause #131 (by clausification #[52]): ∀ (a a_1 : Iota),
% 3.75/3.92 Or (Eq (object a) False)
% 3.75/3.92 (Or (Eq (is_the a none_greater) False)
% 3.75/3.92 (Or (Eq (exemplifies_property existence a) True) (Eq (exemplifies_relation greater_than (skS.0 3 a a_1) a) True)))
% 3.75/3.92 Clause #132 (by clausification #[52]): ∀ (a a_1 : Iota),
% 3.75/3.92 Or (Eq (object a) False)
% 3.75/3.92 (Or (Eq (is_the a none_greater) False)
% 3.75/3.92 (Or (Eq (exemplifies_property existence a) True) (Eq (object (skS.0 3 a a_1)) True)))
% 3.75/3.92 Clause #133 (by superposition #[131, 16]): ∀ (a : Iota),
% 3.75/3.92 Or (Eq (is_the god none_greater) False)
% 3.75/3.92 (Or (Eq (exemplifies_property existence god) True)
% 3.75/3.92 (Or (Eq (exemplifies_relation greater_than (skS.0 3 god a) god) True) (Eq False True)))
% 3.75/3.92 Clause #134 (by superposition #[132, 16]): ∀ (a : Iota),
% 3.75/3.92 Or (Eq (is_the god none_greater) False)
% 3.75/3.92 (Or (Eq (exemplifies_property existence god) True) (Or (Eq (object (skS.0 3 god a)) True) (Eq False True)))
% 3.75/3.92 Clause #135 (by clausification #[134]): ∀ (a : Iota),
% 3.75/3.92 Or (Eq (is_the god none_greater) False)
% 3.75/3.92 (Or (Eq (exemplifies_property existence god) True) (Eq (object (skS.0 3 god a)) True))
% 3.75/3.92 Clause #136 (by forward demodulation #[135, 7]): ∀ (a : Iota), Or (Eq True False) (Or (Eq (exemplifies_property existence god) True) (Eq (object (skS.0 3 god a)) True))
% 3.75/3.92 Clause #137 (by clausification #[136]): ∀ (a : Iota), Or (Eq (exemplifies_property existence god) True) (Eq (object (skS.0 3 god a)) True)
% 3.75/3.92 Clause #138 (by forward demodulation #[137, 9]): ∀ (a : Iota), Or (Eq False True) (Eq (object (skS.0 3 god a)) True)
% 3.75/3.92 Clause #139 (by clausification #[138]): ∀ (a : Iota), Eq (object (skS.0 3 god a)) True
% 3.75/3.92 Clause #148 (by clausification #[133]): ∀ (a : Iota),
% 3.75/3.93 Or (Eq (is_the god none_greater) False)
% 3.75/3.93 (Or (Eq (exemplifies_property existence god) True)
% 3.75/3.93 (Eq (exemplifies_relation greater_than (skS.0 3 god a) god) True))
% 3.75/3.93 Clause #149 (by forward demodulation #[148, 7]): ∀ (a : Iota),
% 3.75/3.93 Or (Eq True False)
% 3.75/3.93 (Or (Eq (exemplifies_property existence god) True)
% 3.75/3.93 (Eq (exemplifies_relation greater_than (skS.0 3 god a) god) True))
% 3.75/3.93 Clause #150 (by clausification #[149]): ∀ (a : Iota),
% 3.75/3.93 Or (Eq (exemplifies_property existence god) True) (Eq (exemplifies_relation greater_than (skS.0 3 god a) god) True)
% 3.75/3.93 Clause #151 (by forward demodulation #[150, 9]): ∀ (a : Iota), Or (Eq False True) (Eq (exemplifies_relation greater_than (skS.0 3 god a) god) True)
% 3.75/3.93 Clause #152 (by clausification #[151]): ∀ (a : Iota), Eq (exemplifies_relation greater_than (skS.0 3 god a) god) True
% 3.75/3.93 Clause #173 (by clausification #[58]): ∀ (a : Iota),
% 3.75/3.93 Or (Eq (object a) False)
% 3.75/3.93 (Or (Eq (exemplifies_property none_greater a) False)
% 3.75/3.93 (Eq
% 3.75/3.93 (Not
% 3.75/3.93 (Exists fun Y =>
% 3.75/3.93 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y)))
% 3.75/3.93 True))
% 3.75/3.93 Clause #175 (by clausification #[173]): ∀ (a : Iota),
% 3.75/3.93 Or (Eq (object a) False)
% 3.75/3.93 (Or (Eq (exemplifies_property none_greater a) False)
% 3.75/3.93 (Eq
% 3.75/3.93 (Exists fun Y =>
% 3.75/3.93 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y))
% 3.75/3.93 False))
% 3.75/3.93 Clause #176 (by clausification #[175]): ∀ (a a_1 : Iota),
% 3.75/3.93 Or (Eq (object a) False)
% 3.75/3.93 (Or (Eq (exemplifies_property none_greater a) False)
% 3.75/3.93 (Eq (And (And (object a_1) (exemplifies_relation greater_than a_1 a)) (exemplifies_property conceivable a_1))
% 3.75/3.93 False))
% 3.75/3.93 Clause #177 (by clausification #[176]): ∀ (a a_1 : Iota),
% 3.75/3.93 Or (Eq (object a) False)
% 3.75/3.93 (Or (Eq (exemplifies_property none_greater a) False)
% 3.75/3.93 (Or (Eq (And (object a_1) (exemplifies_relation greater_than a_1 a)) False)
% 3.75/3.93 (Eq (exemplifies_property conceivable a_1) False)))
% 3.75/3.93 Clause #178 (by clausification #[177]): ∀ (a a_1 : Iota),
% 3.75/3.93 Or (Eq (object a) False)
% 3.75/3.93 (Or (Eq (exemplifies_property none_greater a) False)
% 3.75/3.93 (Or (Eq (exemplifies_property conceivable a_1) False)
% 3.75/3.93 (Or (Eq (object a_1) False) (Eq (exemplifies_relation greater_than a_1 a) False))))
% 3.75/3.93 Clause #179 (by superposition #[178, 16]): ∀ (a : Iota),
% 3.75/3.93 Or (Eq (exemplifies_property none_greater god) False)
% 3.75/3.93 (Or (Eq (exemplifies_property conceivable a) False)
% 3.75/3.93 (Or (Eq (object a) False) (Or (Eq (exemplifies_relation greater_than a god) False) (Eq False True))))
% 3.75/3.93 Clause #186 (by clausification #[179]): ∀ (a : Iota),
% 3.75/3.93 Or (Eq (exemplifies_property none_greater god) False)
% 3.75/3.93 (Or (Eq (exemplifies_property conceivable a) False)
% 3.75/3.93 (Or (Eq (object a) False) (Eq (exemplifies_relation greater_than a god) False)))
% 3.75/3.93 Clause #187 (by forward demodulation #[186, 95]): ∀ (a : Iota),
% 3.75/3.93 Or (Eq True False)
% 3.75/3.93 (Or (Eq (exemplifies_property conceivable a) False)
% 3.75/3.93 (Or (Eq (object a) False) (Eq (exemplifies_relation greater_than a god) False)))
% 3.75/3.93 Clause #188 (by clausification #[187]): ∀ (a : Iota),
% 3.75/3.93 Or (Eq (exemplifies_property conceivable a) False)
% 3.75/3.93 (Or (Eq (object a) False) (Eq (exemplifies_relation greater_than a god) False))
% 3.75/3.93 Clause #189 (by superposition #[188, 127]): ∀ (a : Iota),
% 3.75/3.93 Or (Eq (object (skS.0 3 god a)) False)
% 3.75/3.93 (Or (Eq (exemplifies_relation greater_than (skS.0 3 god a) god) False) (Eq False True))
% 3.75/3.93 Clause #194 (by clausification #[189]): ∀ (a : Iota), Or (Eq (object (skS.0 3 god a)) False) (Eq (exemplifies_relation greater_than (skS.0 3 god a) god) False)
% 3.75/3.93 Clause #195 (by forward demodulation #[194, 139]): ∀ (a : Iota), Or (Eq True False) (Eq (exemplifies_relation greater_than (skS.0 3 god a) god) False)
% 3.75/3.93 Clause #196 (by clausification #[195]): ∀ (a : Iota), Eq (exemplifies_relation greater_than (skS.0 3 god a) god) False
% 3.75/3.93 Clause #197 (by superposition #[196, 152]): Eq False True
% 3.75/3.93 Clause #202 (by clausification #[197]): False
% 3.75/3.93 SZS output end Proof for theBenchmark.p
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