TSTP Solution File: PHI015+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : PHI015+1 : TPTP v8.1.2. Released v7.2.0.
% 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 : Thu Aug 31 12:55:17 EDT 2023
% Result : Theorem 13.46s 13.63s
% Output : Proof 13.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PHI015+1 : TPTP v8.1.2. Released v7.2.0.
% 0.00/0.15 % Command : duper %s
% 0.14/0.36 % Computer : n001.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 09:26:02 EDT 2023
% 0.14/0.36 % CPUTime :
% 13.46/13.63 SZS status Theorem for theBenchmark.p
% 13.46/13.63 SZS output start Proof for theBenchmark.p
% 13.46/13.63 Clause #1 (by assumption #[]): Eq (∀ (X F : Iota), exemplifies_property F X → And (property F) (object X)) True
% 13.46/13.63 Clause #2 (by assumption #[]): Eq (∀ (X F : Iota), is_the X F → And (property F) (object X)) True
% 13.46/13.63 Clause #4 (by assumption #[]): Eq
% 13.46/13.63 (∀ (F X W : Iota),
% 13.46/13.63 And (And (property F) (object X)) (object W) →
% 13.46/13.63 Iff (And (is_the X F) (Eq X W))
% 13.46/13.63 (Exists fun Y =>
% 13.46/13.63 And
% 13.46/13.63 (And (And (object Y) (exemplifies_property F Y))
% 13.46/13.63 (∀ (Z : Iota), object Z → exemplifies_property F Z → Eq Z Y))
% 13.46/13.63 (Eq Y W)))
% 13.46/13.63 True
% 13.46/13.63 Clause #6 (by assumption #[]): Eq
% 13.46/13.63 (∀ (X : Iota),
% 13.46/13.63 object X →
% 13.46/13.63 Iff (exemplifies_property none_greater X)
% 13.46/13.63 (And (exemplifies_property conceivable X)
% 13.46/13.63 (Not
% 13.46/13.63 (Exists fun Y =>
% 13.46/13.63 And (And (object Y) (exemplifies_relation greater_than Y X)) (exemplifies_property conceivable Y)))))
% 13.46/13.63 True
% 13.46/13.63 Clause #7 (by assumption #[]): Eq (Exists fun X => And (object X) (exemplifies_property none_greater X)) True
% 13.46/13.63 Clause #8 (by assumption #[]): Eq
% 13.46/13.63 (∀ (X : Iota),
% 13.46/13.63 object X →
% 13.46/13.63 And (is_the X none_greater) (Not (exemplifies_property existence X)) →
% 13.46/13.63 Exists fun Y =>
% 13.46/13.63 And (And (object Y) (exemplifies_relation greater_than Y X)) (exemplifies_property conceivable Y))
% 13.46/13.63 True
% 13.46/13.63 Clause #9 (by assumption #[]): Eq (is_the god none_greater) True
% 13.46/13.63 Clause #10 (by assumption #[]): Eq (Not (exemplifies_property existence god)) True
% 13.46/13.63 Clause #11 (by clausification #[10]): Eq (exemplifies_property existence god) False
% 13.46/13.63 Clause #15 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (F : Iota), is_the a F → And (property F) (object a)) True
% 13.46/13.63 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (is_the a a_1 → And (property a_1) (object a)) True
% 13.46/13.63 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Or (Eq (is_the a a_1) False) (Eq (And (property a_1) (object a)) True)
% 13.46/13.63 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Or (Eq (is_the a a_1) False) (Eq (object a) True)
% 13.46/13.63 Clause #19 (by clausification #[17]): ∀ (a a_1 : Iota), Or (Eq (is_the a a_1) False) (Eq (property a_1) True)
% 13.46/13.63 Clause #20 (by superposition #[18, 9]): Or (Eq (object god) True) (Eq False True)
% 13.46/13.63 Clause #21 (by clausification #[20]): Eq (object god) True
% 13.46/13.63 Clause #23 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (F : Iota), exemplifies_property F a → And (property F) (object a)) True
% 13.46/13.63 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), Eq (exemplifies_property a a_1 → And (property a) (object a_1)) True
% 13.46/13.63 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Or (Eq (exemplifies_property a a_1) False) (Eq (And (property a) (object a_1)) True)
% 13.46/13.63 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Or (Eq (exemplifies_property a a_1) False) (Eq (object a_1) True)
% 13.46/13.63 Clause #29 (by superposition #[19, 9]): Or (Eq (property none_greater) True) (Eq False True)
% 13.46/13.63 Clause #30 (by clausification #[29]): Eq (property none_greater) True
% 13.46/13.63 Clause #31 (by clausification #[7]): ∀ (a : Iota), Eq (And (object (skS.0 0 a)) (exemplifies_property none_greater (skS.0 0 a))) True
% 13.46/13.63 Clause #32 (by clausification #[31]): ∀ (a : Iota), Eq (exemplifies_property none_greater (skS.0 0 a)) True
% 13.46/13.63 Clause #33 (by clausification #[31]): ∀ (a : Iota), Eq (object (skS.0 0 a)) True
% 13.46/13.63 Clause #67 (by clausification #[4]): ∀ (a : Iota),
% 13.46/13.63 Eq
% 13.46/13.63 (∀ (X W : Iota),
% 13.46/13.63 And (And (property a) (object X)) (object W) →
% 13.46/13.63 Iff (And (is_the X a) (Eq X W))
% 13.46/13.63 (Exists fun Y =>
% 13.46/13.63 And
% 13.46/13.63 (And (And (object Y) (exemplifies_property a Y))
% 13.46/13.63 (∀ (Z : Iota), object Z → exemplifies_property a Z → Eq Z Y))
% 13.46/13.63 (Eq Y W)))
% 13.46/13.63 True
% 13.46/13.63 Clause #68 (by clausification #[67]): ∀ (a a_1 : Iota),
% 13.46/13.63 Eq
% 13.46/13.63 (∀ (W : Iota),
% 13.46/13.63 And (And (property a) (object a_1)) (object W) →
% 13.46/13.63 Iff (And (is_the a_1 a) (Eq a_1 W))
% 13.46/13.63 (Exists fun Y =>
% 13.46/13.63 And
% 13.46/13.63 (And (And (object Y) (exemplifies_property a Y))
% 13.46/13.63 (∀ (Z : Iota), object Z → exemplifies_property a Z → Eq Z Y))
% 13.46/13.65 (Eq Y W)))
% 13.46/13.65 True
% 13.46/13.65 Clause #69 (by clausification #[68]): ∀ (a a_1 a_2 : Iota),
% 13.46/13.65 Eq
% 13.46/13.65 (And (And (property a) (object a_1)) (object a_2) →
% 13.46/13.65 Iff (And (is_the a_1 a) (Eq a_1 a_2))
% 13.46/13.65 (Exists fun Y =>
% 13.46/13.65 And
% 13.46/13.65 (And (And (object Y) (exemplifies_property a Y))
% 13.46/13.65 (∀ (Z : Iota), object Z → exemplifies_property a Z → Eq Z Y))
% 13.46/13.65 (Eq Y a_2)))
% 13.46/13.65 True
% 13.46/13.65 Clause #70 (by clausification #[69]): ∀ (a a_1 a_2 : Iota),
% 13.46/13.65 Or (Eq (And (And (property a) (object a_1)) (object a_2)) False)
% 13.46/13.65 (Eq
% 13.46/13.65 (Iff (And (is_the a_1 a) (Eq a_1 a_2))
% 13.46/13.65 (Exists fun Y =>
% 13.46/13.65 And
% 13.46/13.65 (And (And (object Y) (exemplifies_property a Y))
% 13.46/13.65 (∀ (Z : Iota), object Z → exemplifies_property a Z → Eq Z Y))
% 13.46/13.65 (Eq Y a_2)))
% 13.46/13.65 True)
% 13.46/13.65 Clause #71 (by clausification #[70]): ∀ (a a_1 a_2 : Iota),
% 13.46/13.65 Or
% 13.46/13.65 (Eq
% 13.46/13.65 (Iff (And (is_the a a_1) (Eq a a_2))
% 13.46/13.65 (Exists fun Y =>
% 13.46/13.65 And
% 13.46/13.65 (And (And (object Y) (exemplifies_property a_1 Y))
% 13.46/13.65 (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z Y))
% 13.46/13.65 (Eq Y a_2)))
% 13.46/13.65 True)
% 13.46/13.65 (Or (Eq (And (property a_1) (object a)) False) (Eq (object a_2) False))
% 13.46/13.65 Clause #73 (by clausification #[71]): ∀ (a a_1 a_2 : Iota),
% 13.46/13.65 Or (Eq (And (property a) (object a_1)) False)
% 13.46/13.65 (Or (Eq (object a_2) False)
% 13.46/13.65 (Or (Eq (And (is_the a_1 a) (Eq a_1 a_2)) False)
% 13.46/13.65 (Eq
% 13.46/13.65 (Exists fun Y =>
% 13.46/13.65 And
% 13.46/13.65 (And (And (object Y) (exemplifies_property a Y))
% 13.46/13.65 (∀ (Z : Iota), object Z → exemplifies_property a Z → Eq Z Y))
% 13.46/13.65 (Eq Y a_2))
% 13.46/13.65 True)))
% 13.46/13.65 Clause #95 (by clausification #[8]): ∀ (a : Iota),
% 13.46/13.65 Eq
% 13.46/13.65 (object a →
% 13.46/13.65 And (is_the a none_greater) (Not (exemplifies_property existence a)) →
% 13.46/13.65 Exists fun Y =>
% 13.46/13.65 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y))
% 13.46/13.65 True
% 13.46/13.65 Clause #96 (by clausification #[95]): ∀ (a : Iota),
% 13.46/13.65 Or (Eq (object a) False)
% 13.46/13.65 (Eq
% 13.46/13.65 (And (is_the a none_greater) (Not (exemplifies_property existence a)) →
% 13.46/13.65 Exists fun Y =>
% 13.46/13.65 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y))
% 13.46/13.65 True)
% 13.46/13.65 Clause #97 (by clausification #[96]): ∀ (a : Iota),
% 13.46/13.65 Or (Eq (object a) False)
% 13.46/13.65 (Or (Eq (And (is_the a none_greater) (Not (exemplifies_property existence a))) False)
% 13.46/13.65 (Eq
% 13.46/13.65 (Exists fun Y =>
% 13.46/13.65 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y))
% 13.46/13.65 True))
% 13.46/13.65 Clause #98 (by clausification #[97]): ∀ (a : Iota),
% 13.46/13.65 Or (Eq (object a) False)
% 13.46/13.65 (Or
% 13.46/13.65 (Eq
% 13.46/13.65 (Exists fun Y =>
% 13.46/13.65 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y))
% 13.46/13.65 True)
% 13.46/13.65 (Or (Eq (is_the a none_greater) False) (Eq (Not (exemplifies_property existence a)) False)))
% 13.46/13.65 Clause #99 (by clausification #[98]): ∀ (a a_1 : Iota),
% 13.46/13.65 Or (Eq (object a) False)
% 13.46/13.65 (Or (Eq (is_the a none_greater) False)
% 13.46/13.65 (Or (Eq (Not (exemplifies_property existence a)) False)
% 13.46/13.65 (Eq
% 13.46/13.65 (And (And (object (skS.0 3 a a_1)) (exemplifies_relation greater_than (skS.0 3 a a_1) a))
% 13.46/13.65 (exemplifies_property conceivable (skS.0 3 a a_1)))
% 13.46/13.65 True)))
% 13.46/13.65 Clause #100 (by clausification #[99]): ∀ (a a_1 : Iota),
% 13.46/13.65 Or (Eq (object a) False)
% 13.46/13.65 (Or (Eq (is_the a none_greater) False)
% 13.46/13.65 (Or
% 13.46/13.65 (Eq
% 13.46/13.65 (And (And (object (skS.0 3 a a_1)) (exemplifies_relation greater_than (skS.0 3 a a_1) a))
% 13.46/13.65 (exemplifies_property conceivable (skS.0 3 a a_1)))
% 13.46/13.65 True)
% 13.46/13.65 (Eq (exemplifies_property existence a) True)))
% 13.46/13.65 Clause #101 (by clausification #[100]): ∀ (a a_1 : Iota),
% 13.46/13.65 Or (Eq (object a) False)
% 13.46/13.65 (Or (Eq (is_the a none_greater) False)
% 13.46/13.65 (Or (Eq (exemplifies_property existence a) True) (Eq (exemplifies_property conceivable (skS.0 3 a a_1)) True)))
% 13.46/13.65 Clause #102 (by clausification #[100]): ∀ (a a_1 : Iota),
% 13.46/13.67 Or (Eq (object a) False)
% 13.46/13.67 (Or (Eq (is_the a none_greater) False)
% 13.46/13.67 (Or (Eq (exemplifies_property existence a) True)
% 13.46/13.67 (Eq (And (object (skS.0 3 a a_1)) (exemplifies_relation greater_than (skS.0 3 a a_1) a)) True)))
% 13.46/13.67 Clause #103 (by superposition #[101, 21]): ∀ (a : Iota),
% 13.46/13.67 Or (Eq (is_the god none_greater) False)
% 13.46/13.67 (Or (Eq (exemplifies_property existence god) True)
% 13.46/13.67 (Or (Eq (exemplifies_property conceivable (skS.0 3 god a)) True) (Eq False True)))
% 13.46/13.67 Clause #105 (by clausification #[103]): ∀ (a : Iota),
% 13.46/13.67 Or (Eq (is_the god none_greater) False)
% 13.46/13.67 (Or (Eq (exemplifies_property existence god) True) (Eq (exemplifies_property conceivable (skS.0 3 god a)) True))
% 13.46/13.67 Clause #106 (by forward demodulation #[105, 9]): ∀ (a : Iota),
% 13.46/13.67 Or (Eq True False)
% 13.46/13.67 (Or (Eq (exemplifies_property existence god) True) (Eq (exemplifies_property conceivable (skS.0 3 god a)) True))
% 13.46/13.67 Clause #107 (by clausification #[106]): ∀ (a : Iota),
% 13.46/13.67 Or (Eq (exemplifies_property existence god) True) (Eq (exemplifies_property conceivable (skS.0 3 god a)) True)
% 13.46/13.67 Clause #108 (by forward demodulation #[107, 11]): ∀ (a : Iota), Or (Eq False True) (Eq (exemplifies_property conceivable (skS.0 3 god a)) True)
% 13.46/13.67 Clause #109 (by clausification #[108]): ∀ (a : Iota), Eq (exemplifies_property conceivable (skS.0 3 god a)) True
% 13.46/13.67 Clause #110 (by superposition #[109, 26]): ∀ (a : Iota), Or (Eq True False) (Eq (object (skS.0 3 god a)) True)
% 13.46/13.67 Clause #113 (by clausification #[6]): ∀ (a : Iota),
% 13.46/13.67 Eq
% 13.46/13.67 (object a →
% 13.46/13.67 Iff (exemplifies_property none_greater a)
% 13.46/13.67 (And (exemplifies_property conceivable a)
% 13.46/13.67 (Not
% 13.46/13.67 (Exists fun Y =>
% 13.46/13.67 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y)))))
% 13.46/13.67 True
% 13.46/13.67 Clause #114 (by clausification #[113]): ∀ (a : Iota),
% 13.46/13.67 Or (Eq (object a) False)
% 13.46/13.67 (Eq
% 13.46/13.67 (Iff (exemplifies_property none_greater a)
% 13.46/13.67 (And (exemplifies_property conceivable a)
% 13.46/13.67 (Not
% 13.46/13.67 (Exists fun Y =>
% 13.46/13.67 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y)))))
% 13.46/13.67 True)
% 13.46/13.67 Clause #116 (by clausification #[114]): ∀ (a : Iota),
% 13.46/13.67 Or (Eq (object a) False)
% 13.46/13.67 (Or (Eq (exemplifies_property none_greater a) False)
% 13.46/13.67 (Eq
% 13.46/13.67 (And (exemplifies_property conceivable a)
% 13.46/13.67 (Not
% 13.46/13.67 (Exists fun Y =>
% 13.46/13.67 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y))))
% 13.46/13.67 True))
% 13.46/13.67 Clause #124 (by clausification #[110]): ∀ (a : Iota), Eq (object (skS.0 3 god a)) True
% 13.46/13.67 Clause #168 (by clausification #[116]): ∀ (a : Iota),
% 13.46/13.67 Or (Eq (object a) False)
% 13.46/13.67 (Or (Eq (exemplifies_property none_greater a) False)
% 13.46/13.67 (Eq
% 13.46/13.67 (Not
% 13.46/13.67 (Exists fun Y =>
% 13.46/13.67 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y)))
% 13.46/13.67 True))
% 13.46/13.67 Clause #170 (by clausification #[168]): ∀ (a : Iota),
% 13.46/13.67 Or (Eq (object a) False)
% 13.46/13.67 (Or (Eq (exemplifies_property none_greater a) False)
% 13.46/13.67 (Eq
% 13.46/13.67 (Exists fun Y =>
% 13.46/13.67 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y))
% 13.46/13.67 False))
% 13.46/13.67 Clause #171 (by clausification #[170]): ∀ (a a_1 : Iota),
% 13.46/13.67 Or (Eq (object a) False)
% 13.46/13.67 (Or (Eq (exemplifies_property none_greater a) False)
% 13.46/13.67 (Eq (And (And (object a_1) (exemplifies_relation greater_than a_1 a)) (exemplifies_property conceivable a_1))
% 13.46/13.67 False))
% 13.46/13.67 Clause #172 (by clausification #[171]): ∀ (a a_1 : Iota),
% 13.46/13.67 Or (Eq (object a) False)
% 13.46/13.67 (Or (Eq (exemplifies_property none_greater a) False)
% 13.46/13.67 (Or (Eq (And (object a_1) (exemplifies_relation greater_than a_1 a)) False)
% 13.46/13.67 (Eq (exemplifies_property conceivable a_1) False)))
% 13.46/13.67 Clause #173 (by clausification #[172]): ∀ (a a_1 : Iota),
% 13.46/13.67 Or (Eq (object a) False)
% 13.46/13.67 (Or (Eq (exemplifies_property none_greater a) False)
% 13.46/13.67 (Or (Eq (exemplifies_property conceivable a_1) False)
% 13.46/13.67 (Or (Eq (object a_1) False) (Eq (exemplifies_relation greater_than a_1 a) False))))
% 13.46/13.67 Clause #175 (by superposition #[173, 33]): ∀ (a a_1 : Iota),
% 13.54/13.70 Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False)
% 13.54/13.70 (Or (Eq (exemplifies_property conceivable a_1) False)
% 13.54/13.70 (Or (Eq (object a_1) False) (Or (Eq (exemplifies_relation greater_than a_1 (skS.0 0 a)) False) (Eq False True))))
% 13.54/13.70 Clause #193 (by clausification #[175]): ∀ (a a_1 : Iota),
% 13.54/13.70 Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False)
% 13.54/13.70 (Or (Eq (exemplifies_property conceivable a_1) False)
% 13.54/13.70 (Or (Eq (object a_1) False) (Eq (exemplifies_relation greater_than a_1 (skS.0 0 a)) False)))
% 13.54/13.70 Clause #194 (by forward demodulation #[193, 32]): ∀ (a a_1 : Iota),
% 13.54/13.70 Or (Eq True False)
% 13.54/13.70 (Or (Eq (exemplifies_property conceivable a) False)
% 13.54/13.70 (Or (Eq (object a) False) (Eq (exemplifies_relation greater_than a (skS.0 0 a_1)) False)))
% 13.54/13.70 Clause #195 (by clausification #[194]): ∀ (a a_1 : Iota),
% 13.54/13.70 Or (Eq (exemplifies_property conceivable a) False)
% 13.54/13.70 (Or (Eq (object a) False) (Eq (exemplifies_relation greater_than a (skS.0 0 a_1)) False))
% 13.54/13.70 Clause #196 (by superposition #[195, 109]): ∀ (a a_1 : Iota),
% 13.54/13.70 Or (Eq (object (skS.0 3 god a)) False)
% 13.54/13.70 (Or (Eq (exemplifies_relation greater_than (skS.0 3 god a) (skS.0 0 a_1)) False) (Eq False True))
% 13.54/13.70 Clause #223 (by clausification #[196]): ∀ (a a_1 : Iota),
% 13.54/13.70 Or (Eq (object (skS.0 3 god a)) False) (Eq (exemplifies_relation greater_than (skS.0 3 god a) (skS.0 0 a_1)) False)
% 13.54/13.70 Clause #224 (by forward demodulation #[223, 124]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (exemplifies_relation greater_than (skS.0 3 god a) (skS.0 0 a_1)) False)
% 13.54/13.70 Clause #225 (by clausification #[224]): ∀ (a a_1 : Iota), Eq (exemplifies_relation greater_than (skS.0 3 god a) (skS.0 0 a_1)) False
% 13.54/13.70 Clause #259 (by clausification #[73]): ∀ (a a_1 a_2 : Iota),
% 13.54/13.70 Or (Eq (object a) False)
% 13.54/13.70 (Or (Eq (And (is_the a_1 a_2) (Eq a_1 a)) False)
% 13.54/13.70 (Or
% 13.54/13.70 (Eq
% 13.54/13.70 (Exists fun Y =>
% 13.54/13.70 And
% 13.54/13.70 (And (And (object Y) (exemplifies_property a_2 Y))
% 13.54/13.70 (∀ (Z : Iota), object Z → exemplifies_property a_2 Z → Eq Z Y))
% 13.54/13.70 (Eq Y a))
% 13.54/13.70 True)
% 13.54/13.70 (Or (Eq (property a_2) False) (Eq (object a_1) False))))
% 13.54/13.70 Clause #260 (by clausification #[259]): ∀ (a a_1 a_2 : Iota),
% 13.54/13.70 Or (Eq (object a) False)
% 13.54/13.70 (Or
% 13.54/13.70 (Eq
% 13.54/13.70 (Exists fun Y =>
% 13.54/13.70 And
% 13.54/13.70 (And (And (object Y) (exemplifies_property a_1 Y))
% 13.54/13.70 (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z Y))
% 13.54/13.70 (Eq Y a))
% 13.54/13.70 True)
% 13.54/13.70 (Or (Eq (property a_1) False)
% 13.54/13.70 (Or (Eq (object a_2) False) (Or (Eq (is_the a_2 a_1) False) (Eq (Eq a_2 a) False)))))
% 13.54/13.70 Clause #261 (by clausification #[260]): ∀ (a a_1 a_2 a_3 : Iota),
% 13.54/13.70 Or (Eq (object a) False)
% 13.54/13.70 (Or (Eq (property a_1) False)
% 13.54/13.70 (Or (Eq (object a_2) False)
% 13.54/13.70 (Or (Eq (is_the a_2 a_1) False)
% 13.54/13.70 (Or (Eq (Eq a_2 a) False)
% 13.54/13.70 (Eq
% 13.54/13.70 (And
% 13.54/13.70 (And (And (object (skS.0 7 a_1 a a_3)) (exemplifies_property a_1 (skS.0 7 a_1 a a_3)))
% 13.54/13.70 (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z (skS.0 7 a_1 a a_3)))
% 13.54/13.70 (Eq (skS.0 7 a_1 a a_3) a))
% 13.54/13.70 True)))))
% 13.54/13.70 Clause #262 (by clausification #[261]): ∀ (a a_1 a_2 a_3 : Iota),
% 13.54/13.70 Or (Eq (object a) False)
% 13.54/13.70 (Or (Eq (property a_1) False)
% 13.54/13.70 (Or (Eq (object a_2) False)
% 13.54/13.70 (Or (Eq (is_the a_2 a_1) False)
% 13.54/13.70 (Or
% 13.54/13.70 (Eq
% 13.54/13.70 (And
% 13.54/13.70 (And (And (object (skS.0 7 a_1 a a_3)) (exemplifies_property a_1 (skS.0 7 a_1 a a_3)))
% 13.54/13.70 (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z (skS.0 7 a_1 a a_3)))
% 13.54/13.70 (Eq (skS.0 7 a_1 a a_3) a))
% 13.54/13.70 True)
% 13.54/13.70 (Ne a_2 a)))))
% 13.54/13.70 Clause #263 (by clausification #[262]): ∀ (a a_1 a_2 a_3 : Iota),
% 13.54/13.70 Or (Eq (object a) False)
% 13.54/13.70 (Or (Eq (property a_1) False)
% 13.54/13.70 (Or (Eq (object a_2) False)
% 13.54/13.70 (Or (Eq (is_the a_2 a_1) False) (Or (Ne a_2 a) (Eq (Eq (skS.0 7 a_1 a a_3) a) True)))))
% 13.54/13.70 Clause #264 (by clausification #[262]): ∀ (a a_1 a_2 a_3 : Iota),
% 13.54/13.70 Or (Eq (object a) False)
% 13.54/13.70 (Or (Eq (property a_1) False)
% 13.54/13.72 (Or (Eq (object a_2) False)
% 13.54/13.72 (Or (Eq (is_the a_2 a_1) False)
% 13.54/13.72 (Or (Ne a_2 a)
% 13.54/13.72 (Eq
% 13.54/13.72 (And (And (object (skS.0 7 a_1 a a_3)) (exemplifies_property a_1 (skS.0 7 a_1 a a_3)))
% 13.54/13.72 (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z (skS.0 7 a_1 a a_3)))
% 13.54/13.72 True)))))
% 13.54/13.72 Clause #265 (by clausification #[263]): ∀ (a a_1 a_2 a_3 : Iota),
% 13.54/13.72 Or (Eq (object a) False)
% 13.54/13.72 (Or (Eq (property a_1) False)
% 13.54/13.72 (Or (Eq (object a_2) False) (Or (Eq (is_the a_2 a_1) False) (Or (Ne a_2 a) (Eq (skS.0 7 a_1 a a_3) a)))))
% 13.54/13.72 Clause #266 (by destructive equality resolution #[265]): ∀ (a a_1 a_2 : Iota),
% 13.54/13.72 Or (Eq (object a) False)
% 13.54/13.72 (Or (Eq (property a_1) False) (Or (Eq (object a) False) (Or (Eq (is_the a a_1) False) (Eq (skS.0 7 a_1 a a_2) a))))
% 13.54/13.72 Clause #267 (by eliminate duplicate literals #[266]): ∀ (a a_1 a_2 : Iota),
% 13.54/13.72 Or (Eq (object a) False) (Or (Eq (property a_1) False) (Or (Eq (is_the a a_1) False) (Eq (skS.0 7 a_1 a a_2) a)))
% 13.54/13.72 Clause #268 (by superposition #[267, 21]): ∀ (a a_1 : Iota),
% 13.54/13.72 Or (Eq (property a) False) (Or (Eq (is_the god a) False) (Or (Eq (skS.0 7 a god a_1) god) (Eq False True)))
% 13.54/13.72 Clause #272 (by clausification #[268]): ∀ (a a_1 : Iota), Or (Eq (property a) False) (Or (Eq (is_the god a) False) (Eq (skS.0 7 a god a_1) god))
% 13.54/13.72 Clause #273 (by superposition #[272, 30]): ∀ (a : Iota), Or (Eq (is_the god none_greater) False) (Or (Eq (skS.0 7 none_greater god a) god) (Eq False True))
% 13.54/13.72 Clause #276 (by clausification #[273]): ∀ (a : Iota), Or (Eq (is_the god none_greater) False) (Eq (skS.0 7 none_greater god a) god)
% 13.54/13.72 Clause #277 (by forward demodulation #[276, 9]): ∀ (a : Iota), Or (Eq True False) (Eq (skS.0 7 none_greater god a) god)
% 13.54/13.72 Clause #278 (by clausification #[277]): ∀ (a : Iota), Eq (skS.0 7 none_greater god a) god
% 13.54/13.72 Clause #348 (by clausification #[102]): ∀ (a a_1 : Iota),
% 13.54/13.72 Or (Eq (object a) False)
% 13.54/13.72 (Or (Eq (is_the a none_greater) False)
% 13.54/13.72 (Or (Eq (exemplifies_property existence a) True) (Eq (exemplifies_relation greater_than (skS.0 3 a a_1) a) True)))
% 13.54/13.72 Clause #350 (by superposition #[348, 21]): ∀ (a : Iota),
% 13.54/13.72 Or (Eq (is_the god none_greater) False)
% 13.54/13.72 (Or (Eq (exemplifies_property existence god) True)
% 13.54/13.72 (Or (Eq (exemplifies_relation greater_than (skS.0 3 god a) god) True) (Eq False True)))
% 13.54/13.72 Clause #362 (by clausification #[350]): ∀ (a : Iota),
% 13.54/13.72 Or (Eq (is_the god none_greater) False)
% 13.54/13.72 (Or (Eq (exemplifies_property existence god) True)
% 13.54/13.72 (Eq (exemplifies_relation greater_than (skS.0 3 god a) god) True))
% 13.54/13.72 Clause #363 (by forward demodulation #[362, 9]): ∀ (a : Iota),
% 13.54/13.72 Or (Eq True False)
% 13.54/13.72 (Or (Eq (exemplifies_property existence god) True)
% 13.54/13.72 (Eq (exemplifies_relation greater_than (skS.0 3 god a) god) True))
% 13.54/13.72 Clause #364 (by clausification #[363]): ∀ (a : Iota),
% 13.54/13.72 Or (Eq (exemplifies_property existence god) True) (Eq (exemplifies_relation greater_than (skS.0 3 god a) god) True)
% 13.54/13.72 Clause #365 (by forward demodulation #[364, 11]): ∀ (a : Iota), Or (Eq False True) (Eq (exemplifies_relation greater_than (skS.0 3 god a) god) True)
% 13.54/13.72 Clause #366 (by clausification #[365]): ∀ (a : Iota), Eq (exemplifies_relation greater_than (skS.0 3 god a) god) True
% 13.54/13.72 Clause #1990 (by clausification #[264]): ∀ (a a_1 a_2 a_3 : Iota),
% 13.54/13.72 Or (Eq (object a) False)
% 13.54/13.72 (Or (Eq (property a_1) False)
% 13.54/13.72 (Or (Eq (object a_2) False)
% 13.54/13.72 (Or (Eq (is_the a_2 a_1) False)
% 13.54/13.72 (Or (Ne a_2 a) (Eq (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z (skS.0 7 a_1 a a_3)) True)))))
% 13.54/13.72 Clause #1992 (by clausification #[1990]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 13.54/13.72 Or (Eq (object a) False)
% 13.54/13.72 (Or (Eq (property a_1) False)
% 13.54/13.72 (Or (Eq (object a_2) False)
% 13.54/13.72 (Or (Eq (is_the a_2 a_1) False)
% 13.54/13.72 (Or (Ne a_2 a) (Eq (object a_3 → exemplifies_property a_1 a_3 → Eq a_3 (skS.0 7 a_1 a a_4)) True)))))
% 13.54/13.72 Clause #1993 (by clausification #[1992]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 13.54/13.72 Or (Eq (object a) False)
% 13.54/13.72 (Or (Eq (property a_1) False)
% 13.54/13.72 (Or (Eq (object a_2) False)
% 13.54/13.72 (Or (Eq (is_the a_2 a_1) False)
% 13.54/13.76 (Or (Ne a_2 a)
% 13.54/13.76 (Or (Eq (object a_3) False) (Eq (exemplifies_property a_1 a_3 → Eq a_3 (skS.0 7 a_1 a a_4)) True))))))
% 13.54/13.76 Clause #1994 (by clausification #[1993]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 13.54/13.76 Or (Eq (object a) False)
% 13.54/13.76 (Or (Eq (property a_1) False)
% 13.54/13.76 (Or (Eq (object a_2) False)
% 13.54/13.76 (Or (Eq (is_the a_2 a_1) False)
% 13.54/13.76 (Or (Ne a_2 a)
% 13.54/13.76 (Or (Eq (object a_3) False)
% 13.54/13.76 (Or (Eq (exemplifies_property a_1 a_3) False) (Eq (Eq a_3 (skS.0 7 a_1 a a_4)) True)))))))
% 13.54/13.76 Clause #1995 (by clausification #[1994]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 13.54/13.76 Or (Eq (object a) False)
% 13.54/13.76 (Or (Eq (property a_1) False)
% 13.54/13.76 (Or (Eq (object a_2) False)
% 13.54/13.76 (Or (Eq (is_the a_2 a_1) False)
% 13.54/13.76 (Or (Ne a_2 a)
% 13.54/13.76 (Or (Eq (object a_3) False) (Or (Eq (exemplifies_property a_1 a_3) False) (Eq a_3 (skS.0 7 a_1 a a_4))))))))
% 13.54/13.76 Clause #1996 (by destructive equality resolution #[1995]): ∀ (a a_1 a_2 a_3 : Iota),
% 13.54/13.76 Or (Eq (object a) False)
% 13.54/13.76 (Or (Eq (property a_1) False)
% 13.54/13.76 (Or (Eq (object a) False)
% 13.54/13.76 (Or (Eq (is_the a a_1) False)
% 13.54/13.76 (Or (Eq (object a_2) False) (Or (Eq (exemplifies_property a_1 a_2) False) (Eq a_2 (skS.0 7 a_1 a a_3)))))))
% 13.54/13.76 Clause #1997 (by eliminate duplicate literals #[1996]): ∀ (a a_1 a_2 a_3 : Iota),
% 13.54/13.76 Or (Eq (object a) False)
% 13.54/13.76 (Or (Eq (property a_1) False)
% 13.54/13.76 (Or (Eq (is_the a a_1) False)
% 13.54/13.76 (Or (Eq (object a_2) False) (Or (Eq (exemplifies_property a_1 a_2) False) (Eq a_2 (skS.0 7 a_1 a a_3))))))
% 13.54/13.76 Clause #1998 (by superposition #[1997, 21]): ∀ (a a_1 a_2 : Iota),
% 13.54/13.76 Or (Eq (property a) False)
% 13.54/13.76 (Or (Eq (is_the god a) False)
% 13.54/13.76 (Or (Eq (object a_1) False)
% 13.54/13.76 (Or (Eq (exemplifies_property a a_1) False) (Or (Eq a_1 (skS.0 7 a god a_2)) (Eq False True)))))
% 13.54/13.76 Clause #2025 (by clausification #[1998]): ∀ (a a_1 a_2 : Iota),
% 13.54/13.76 Or (Eq (property a) False)
% 13.54/13.76 (Or (Eq (is_the god a) False)
% 13.54/13.76 (Or (Eq (object a_1) False) (Or (Eq (exemplifies_property a a_1) False) (Eq a_1 (skS.0 7 a god a_2)))))
% 13.54/13.76 Clause #2026 (by superposition #[2025, 30]): ∀ (a a_1 : Iota),
% 13.54/13.76 Or (Eq (is_the god none_greater) False)
% 13.54/13.76 (Or (Eq (object a) False)
% 13.54/13.76 (Or (Eq (exemplifies_property none_greater a) False) (Or (Eq a (skS.0 7 none_greater god a_1)) (Eq False True))))
% 13.54/13.76 Clause #2029 (by clausification #[2026]): ∀ (a a_1 : Iota),
% 13.54/13.76 Or (Eq (is_the god none_greater) False)
% 13.54/13.76 (Or (Eq (object a) False)
% 13.54/13.76 (Or (Eq (exemplifies_property none_greater a) False) (Eq a (skS.0 7 none_greater god a_1))))
% 13.54/13.76 Clause #2030 (by forward demodulation #[2029, 278]): ∀ (a : Iota),
% 13.54/13.76 Or (Eq (is_the god none_greater) False)
% 13.54/13.76 (Or (Eq (object a) False) (Or (Eq (exemplifies_property none_greater a) False) (Eq a god)))
% 13.54/13.76 Clause #2031 (by superposition #[2030, 9]): ∀ (a : Iota),
% 13.54/13.76 Or (Eq (object a) False) (Or (Eq (exemplifies_property none_greater a) False) (Or (Eq a god) (Eq False True)))
% 13.54/13.76 Clause #2032 (by clausification #[2031]): ∀ (a : Iota), Or (Eq (object a) False) (Or (Eq (exemplifies_property none_greater a) False) (Eq a god))
% 13.54/13.76 Clause #2034 (by superposition #[2032, 33]): ∀ (a : Iota), Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False) (Or (Eq (skS.0 0 a) god) (Eq False True))
% 13.54/13.76 Clause #2064 (by clausification #[2034]): ∀ (a : Iota), Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False) (Eq (skS.0 0 a) god)
% 13.54/13.76 Clause #2065 (by superposition #[2064, 32]): ∀ (a : Iota), Or (Eq (skS.0 0 a) god) (Eq False True)
% 13.54/13.76 Clause #2066 (by clausification #[2065]): ∀ (a : Iota), Eq (skS.0 0 a) god
% 13.54/13.76 Clause #2072 (by backward demodulation #[2066, 225]): ∀ (a : Iota), Eq (exemplifies_relation greater_than (skS.0 3 god a) god) False
% 13.54/13.76 Clause #2211 (by superposition #[2072, 366]): Eq False True
% 13.54/13.76 Clause #2212 (by clausification #[2211]): False
% 13.54/13.76 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------