TSTP Solution File: PHI009+1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : PHI009+1 : TPTP v8.1.2. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n019.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 12:55:16 EDT 2023
% Result : Theorem 7.17s 7.39s
% Output : Proof 7.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PHI009+1 : TPTP v8.1.2. Released v7.2.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n019.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 : Sun Aug 27 08:53:58 EDT 2023
% 0.13/0.35 % CPUTime :
% 7.17/7.39 SZS status Theorem for theBenchmark.p
% 7.17/7.39 SZS output start Proof for theBenchmark.p
% 7.17/7.39 Clause #0 (by assumption #[]): Eq
% 7.17/7.39 (∀ (F G X : Iota),
% 7.17/7.39 And (And (property F) (property G)) (object X) →
% 7.17/7.39 Iff (And (is_the X F) (exemplifies_property G X))
% 7.17/7.39 (Exists fun Y =>
% 7.17/7.39 And
% 7.17/7.39 (And (And (object Y) (exemplifies_property F Y))
% 7.17/7.39 (∀ (Z : Iota), object Z → exemplifies_property F Z → Eq Z Y))
% 7.17/7.39 (exemplifies_property G Y)))
% 7.17/7.39 True
% 7.17/7.39 Clause #1 (by assumption #[]): Eq
% 7.17/7.39 (Not
% 7.17/7.39 (∀ (F : Iota),
% 7.17/7.39 property F →
% 7.17/7.39 (Exists fun Y =>
% 7.17/7.39 And (And (object Y) (exemplifies_property F Y))
% 7.17/7.39 (∀ (Z : Iota), object Z → exemplifies_property F Z → Eq Z Y)) →
% 7.17/7.39 Exists fun U => And (object U) (is_the U F)))
% 7.17/7.39 True
% 7.17/7.39 Clause #2 (by clausification #[1]): Eq
% 7.17/7.39 (∀ (F : Iota),
% 7.17/7.39 property F →
% 7.17/7.39 (Exists fun Y =>
% 7.17/7.39 And (And (object Y) (exemplifies_property F Y))
% 7.17/7.39 (∀ (Z : Iota), object Z → exemplifies_property F Z → Eq Z Y)) →
% 7.17/7.39 Exists fun U => And (object U) (is_the U F))
% 7.17/7.39 False
% 7.17/7.39 Clause #3 (by clausification #[2]): ∀ (a : Iota),
% 7.17/7.39 Eq
% 7.17/7.39 (Not
% 7.17/7.39 (property (skS.0 0 a) →
% 7.17/7.39 (Exists fun Y =>
% 7.17/7.39 And (And (object Y) (exemplifies_property (skS.0 0 a) Y))
% 7.17/7.39 (∀ (Z : Iota), object Z → exemplifies_property (skS.0 0 a) Z → Eq Z Y)) →
% 7.17/7.39 Exists fun U => And (object U) (is_the U (skS.0 0 a))))
% 7.17/7.39 True
% 7.17/7.39 Clause #4 (by clausification #[3]): ∀ (a : Iota),
% 7.17/7.39 Eq
% 7.17/7.39 (property (skS.0 0 a) →
% 7.17/7.39 (Exists fun Y =>
% 7.17/7.39 And (And (object Y) (exemplifies_property (skS.0 0 a) Y))
% 7.17/7.39 (∀ (Z : Iota), object Z → exemplifies_property (skS.0 0 a) Z → Eq Z Y)) →
% 7.17/7.39 Exists fun U => And (object U) (is_the U (skS.0 0 a)))
% 7.17/7.39 False
% 7.17/7.39 Clause #5 (by clausification #[4]): ∀ (a : Iota), Eq (property (skS.0 0 a)) True
% 7.17/7.39 Clause #6 (by clausification #[4]): ∀ (a : Iota),
% 7.17/7.39 Eq
% 7.17/7.39 ((Exists fun Y =>
% 7.17/7.39 And (And (object Y) (exemplifies_property (skS.0 0 a) Y))
% 7.17/7.39 (∀ (Z : Iota), object Z → exemplifies_property (skS.0 0 a) Z → Eq Z Y)) →
% 7.17/7.39 Exists fun U => And (object U) (is_the U (skS.0 0 a)))
% 7.17/7.39 False
% 7.17/7.39 Clause #7 (by clausification #[6]): ∀ (a : Iota),
% 7.17/7.39 Eq
% 7.17/7.39 (Exists fun Y =>
% 7.17/7.39 And (And (object Y) (exemplifies_property (skS.0 0 a) Y))
% 7.17/7.39 (∀ (Z : Iota), object Z → exemplifies_property (skS.0 0 a) Z → Eq Z Y))
% 7.17/7.39 True
% 7.17/7.39 Clause #8 (by clausification #[6]): ∀ (a : Iota), Eq (Exists fun U => And (object U) (is_the U (skS.0 0 a))) False
% 7.17/7.39 Clause #9 (by clausification #[7]): ∀ (a a_1 : Iota),
% 7.17/7.39 Eq
% 7.17/7.39 (And (And (object (skS.0 1 a a_1)) (exemplifies_property (skS.0 0 a) (skS.0 1 a a_1)))
% 7.17/7.39 (∀ (Z : Iota), object Z → exemplifies_property (skS.0 0 a) Z → Eq Z (skS.0 1 a a_1)))
% 7.17/7.39 True
% 7.17/7.39 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Eq (∀ (Z : Iota), object Z → exemplifies_property (skS.0 0 a) Z → Eq Z (skS.0 1 a a_1)) True
% 7.17/7.39 Clause #11 (by clausification #[9]): ∀ (a a_1 : Iota), Eq (And (object (skS.0 1 a a_1)) (exemplifies_property (skS.0 0 a) (skS.0 1 a a_1))) True
% 7.17/7.39 Clause #12 (by clausification #[10]): ∀ (a a_1 a_2 : Iota), Eq (object a → exemplifies_property (skS.0 0 a_1) a → Eq a (skS.0 1 a_1 a_2)) True
% 7.17/7.39 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 : Iota), Or (Eq (object a) False) (Eq (exemplifies_property (skS.0 0 a_1) a → Eq a (skS.0 1 a_1 a_2)) True)
% 7.17/7.39 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 : Iota),
% 7.17/7.39 Or (Eq (object a) False) (Or (Eq (exemplifies_property (skS.0 0 a_1) a) False) (Eq (Eq a (skS.0 1 a_1 a_2)) True))
% 7.17/7.39 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 : Iota),
% 7.17/7.39 Or (Eq (object a) False) (Or (Eq (exemplifies_property (skS.0 0 a_1) a) False) (Eq a (skS.0 1 a_1 a_2)))
% 7.17/7.39 Clause #16 (by clausification #[8]): ∀ (a a_1 : Iota), Eq (And (object a) (is_the a (skS.0 0 a_1))) False
% 7.17/7.39 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Or (Eq (object a) False) (Eq (is_the a (skS.0 0 a_1)) False)
% 7.17/7.39 Clause #18 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (exemplifies_property (skS.0 0 a) (skS.0 1 a a_1)) True
% 7.24/7.41 Clause #19 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (object (skS.0 1 a a_1)) True
% 7.24/7.41 Clause #21 (by superposition #[19, 17]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) False)
% 7.24/7.41 Clause #22 (by clausification #[0]): ∀ (a : Iota),
% 7.24/7.41 Eq
% 7.24/7.41 (∀ (G X : Iota),
% 7.24/7.41 And (And (property a) (property G)) (object X) →
% 7.24/7.41 Iff (And (is_the X a) (exemplifies_property G X))
% 7.24/7.41 (Exists fun Y =>
% 7.24/7.41 And
% 7.24/7.41 (And (And (object Y) (exemplifies_property a Y))
% 7.24/7.41 (∀ (Z : Iota), object Z → exemplifies_property a Z → Eq Z Y))
% 7.24/7.41 (exemplifies_property G Y)))
% 7.24/7.41 True
% 7.24/7.41 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota),
% 7.24/7.41 Eq
% 7.24/7.41 (∀ (X : Iota),
% 7.24/7.41 And (And (property a) (property a_1)) (object X) →
% 7.24/7.41 Iff (And (is_the X a) (exemplifies_property a_1 X))
% 7.24/7.41 (Exists fun Y =>
% 7.24/7.41 And
% 7.24/7.41 (And (And (object Y) (exemplifies_property a Y))
% 7.24/7.41 (∀ (Z : Iota), object Z → exemplifies_property a Z → Eq Z Y))
% 7.24/7.41 (exemplifies_property a_1 Y)))
% 7.24/7.41 True
% 7.24/7.41 Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 : Iota),
% 7.24/7.41 Eq
% 7.24/7.41 (And (And (property a) (property a_1)) (object a_2) →
% 7.24/7.41 Iff (And (is_the a_2 a) (exemplifies_property a_1 a_2))
% 7.24/7.41 (Exists fun Y =>
% 7.24/7.41 And
% 7.24/7.41 (And (And (object Y) (exemplifies_property a Y))
% 7.24/7.41 (∀ (Z : Iota), object Z → exemplifies_property a Z → Eq Z Y))
% 7.24/7.41 (exemplifies_property a_1 Y)))
% 7.24/7.41 True
% 7.24/7.41 Clause #25 (by clausification #[24]): ∀ (a a_1 a_2 : Iota),
% 7.24/7.41 Or (Eq (And (And (property a) (property a_1)) (object a_2)) False)
% 7.24/7.41 (Eq
% 7.24/7.41 (Iff (And (is_the a_2 a) (exemplifies_property a_1 a_2))
% 7.24/7.41 (Exists fun Y =>
% 7.24/7.41 And
% 7.24/7.41 (And (And (object Y) (exemplifies_property a Y))
% 7.24/7.41 (∀ (Z : Iota), object Z → exemplifies_property a Z → Eq Z Y))
% 7.24/7.41 (exemplifies_property a_1 Y)))
% 7.24/7.41 True)
% 7.24/7.41 Clause #26 (by clausification #[25]): ∀ (a a_1 a_2 : Iota),
% 7.24/7.41 Or
% 7.24/7.41 (Eq
% 7.24/7.41 (Iff (And (is_the a a_1) (exemplifies_property a_2 a))
% 7.24/7.41 (Exists fun Y =>
% 7.24/7.41 And
% 7.24/7.41 (And (And (object Y) (exemplifies_property a_1 Y))
% 7.24/7.41 (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z Y))
% 7.24/7.41 (exemplifies_property a_2 Y)))
% 7.24/7.41 True)
% 7.24/7.41 (Or (Eq (And (property a_1) (property a_2)) False) (Eq (object a) False))
% 7.24/7.41 Clause #27 (by clausification #[26]): ∀ (a a_1 a_2 : Iota),
% 7.24/7.41 Or (Eq (And (property a) (property a_1)) False)
% 7.24/7.41 (Or (Eq (object a_2) False)
% 7.24/7.41 (Or (Eq (And (is_the a_2 a) (exemplifies_property a_1 a_2)) True)
% 7.24/7.41 (Eq
% 7.24/7.41 (Exists fun Y =>
% 7.24/7.41 And
% 7.24/7.41 (And (And (object Y) (exemplifies_property a Y))
% 7.24/7.41 (∀ (Z : Iota), object Z → exemplifies_property a Z → Eq Z Y))
% 7.24/7.41 (exemplifies_property a_1 Y))
% 7.24/7.41 False)))
% 7.24/7.41 Clause #29 (by clausification #[27]): ∀ (a a_1 a_2 : Iota),
% 7.24/7.41 Or (Eq (object a) False)
% 7.24/7.41 (Or (Eq (And (is_the a a_1) (exemplifies_property a_2 a)) True)
% 7.24/7.41 (Or
% 7.24/7.41 (Eq
% 7.24/7.41 (Exists fun Y =>
% 7.24/7.41 And
% 7.24/7.41 (And (And (object Y) (exemplifies_property a_1 Y))
% 7.24/7.41 (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z Y))
% 7.24/7.41 (exemplifies_property a_2 Y))
% 7.24/7.41 False)
% 7.24/7.41 (Or (Eq (property a_1) False) (Eq (property a_2) False))))
% 7.24/7.41 Clause #31 (by clausification #[29]): ∀ (a a_1 a_2 : Iota),
% 7.24/7.41 Or (Eq (object a) False)
% 7.24/7.41 (Or
% 7.24/7.41 (Eq
% 7.24/7.41 (Exists fun Y =>
% 7.24/7.41 And
% 7.24/7.41 (And (And (object Y) (exemplifies_property a_1 Y))
% 7.24/7.41 (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z Y))
% 7.24/7.41 (exemplifies_property a_2 Y))
% 7.24/7.41 False)
% 7.24/7.41 (Or (Eq (property a_1) False) (Or (Eq (property a_2) False) (Eq (is_the a a_1) True))))
% 7.24/7.41 Clause #41 (by clausification #[21]): ∀ (a a_1 a_2 : Iota), Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) False
% 7.24/7.41 Clause #45 (by clausification #[31]): ∀ (a a_1 a_2 a_3 : Iota),
% 7.24/7.41 Or (Eq (object a) False)
% 7.24/7.41 (Or (Eq (property a_1) False)
% 7.24/7.43 (Or (Eq (property a_2) False)
% 7.24/7.43 (Or (Eq (is_the a a_1) True)
% 7.24/7.43 (Eq
% 7.24/7.43 (And
% 7.24/7.43 (And (And (object a_3) (exemplifies_property a_1 a_3))
% 7.24/7.43 (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z a_3))
% 7.24/7.43 (exemplifies_property a_2 a_3))
% 7.24/7.43 False))))
% 7.24/7.43 Clause #46 (by clausification #[45]): ∀ (a a_1 a_2 a_3 : Iota),
% 7.24/7.43 Or (Eq (object a) False)
% 7.24/7.43 (Or (Eq (property a_1) False)
% 7.24/7.43 (Or (Eq (property a_2) False)
% 7.24/7.43 (Or (Eq (is_the a a_1) True)
% 7.24/7.43 (Or
% 7.24/7.43 (Eq
% 7.24/7.43 (And (And (object a_3) (exemplifies_property a_1 a_3))
% 7.24/7.43 (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z a_3))
% 7.24/7.43 False)
% 7.24/7.43 (Eq (exemplifies_property a_2 a_3) False)))))
% 7.24/7.43 Clause #47 (by clausification #[46]): ∀ (a a_1 a_2 a_3 : Iota),
% 7.24/7.43 Or (Eq (object a) False)
% 7.24/7.43 (Or (Eq (property a_1) False)
% 7.24/7.43 (Or (Eq (property a_2) False)
% 7.24/7.43 (Or (Eq (is_the a a_1) True)
% 7.24/7.43 (Or (Eq (exemplifies_property a_2 a_3) False)
% 7.24/7.43 (Or (Eq (And (object a_3) (exemplifies_property a_1 a_3)) False)
% 7.24/7.43 (Eq (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z a_3) False))))))
% 7.24/7.43 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 a_3 : Iota),
% 7.24/7.43 Or (Eq (object a) False)
% 7.24/7.43 (Or (Eq (property a_1) False)
% 7.24/7.43 (Or (Eq (property a_2) False)
% 7.24/7.43 (Or (Eq (is_the a a_1) True)
% 7.24/7.43 (Or (Eq (exemplifies_property a_2 a_3) False)
% 7.24/7.43 (Or (Eq (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z a_3) False)
% 7.24/7.43 (Or (Eq (object a_3) False) (Eq (exemplifies_property a_1 a_3) False)))))))
% 7.24/7.43 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 7.24/7.43 Or (Eq (object a) False)
% 7.24/7.43 (Or (Eq (property a_1) False)
% 7.24/7.43 (Or (Eq (property a_2) False)
% 7.24/7.43 (Or (Eq (is_the a a_1) True)
% 7.24/7.43 (Or (Eq (exemplifies_property a_2 a_3) False)
% 7.24/7.43 (Or (Eq (object a_3) False)
% 7.24/7.43 (Or (Eq (exemplifies_property a_1 a_3) False)
% 7.24/7.43 (Eq
% 7.24/7.43 (Not
% 7.24/7.43 (object (skS.0 3 a_1 a_3 a_4) →
% 7.24/7.43 exemplifies_property a_1 (skS.0 3 a_1 a_3 a_4) → Eq (skS.0 3 a_1 a_3 a_4) a_3))
% 7.24/7.43 True)))))))
% 7.24/7.43 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 7.24/7.43 Or (Eq (object a) False)
% 7.24/7.43 (Or (Eq (property a_1) False)
% 7.24/7.43 (Or (Eq (property a_2) False)
% 7.24/7.43 (Or (Eq (is_the a a_1) True)
% 7.24/7.43 (Or (Eq (exemplifies_property a_2 a_3) False)
% 7.24/7.43 (Or (Eq (object a_3) False)
% 7.24/7.43 (Or (Eq (exemplifies_property a_1 a_3) False)
% 7.24/7.43 (Eq
% 7.24/7.43 (object (skS.0 3 a_1 a_3 a_4) →
% 7.24/7.43 exemplifies_property a_1 (skS.0 3 a_1 a_3 a_4) → Eq (skS.0 3 a_1 a_3 a_4) a_3)
% 7.24/7.43 False)))))))
% 7.24/7.43 Clause #51 (by clausification #[50]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 7.24/7.43 Or (Eq (object a) False)
% 7.24/7.43 (Or (Eq (property a_1) False)
% 7.24/7.43 (Or (Eq (property a_2) False)
% 7.24/7.43 (Or (Eq (is_the a a_1) True)
% 7.24/7.43 (Or (Eq (exemplifies_property a_2 a_3) False)
% 7.24/7.43 (Or (Eq (object a_3) False)
% 7.24/7.43 (Or (Eq (exemplifies_property a_1 a_3) False) (Eq (object (skS.0 3 a_1 a_3 a_4)) True)))))))
% 7.24/7.43 Clause #52 (by clausification #[50]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 7.24/7.43 Or (Eq (object a) False)
% 7.24/7.43 (Or (Eq (property a_1) False)
% 7.24/7.43 (Or (Eq (property a_2) False)
% 7.24/7.43 (Or (Eq (is_the a a_1) True)
% 7.24/7.43 (Or (Eq (exemplifies_property a_2 a_3) False)
% 7.24/7.43 (Or (Eq (object a_3) False)
% 7.24/7.43 (Or (Eq (exemplifies_property a_1 a_3) False)
% 7.24/7.43 (Eq (exemplifies_property a_1 (skS.0 3 a_1 a_3 a_4) → Eq (skS.0 3 a_1 a_3 a_4) a_3) False)))))))
% 7.24/7.43 Clause #53 (by superposition #[51, 19]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.24/7.43 Or (Eq (property a) False)
% 7.24/7.43 (Or (Eq (property a_1) False)
% 7.24/7.43 (Or (Eq (is_the (skS.0 1 a_2 a_3) a) True)
% 7.24/7.43 (Or (Eq (exemplifies_property a_1 a_4) False)
% 7.24/7.43 (Or (Eq (object a_4) False)
% 7.24/7.43 (Or (Eq (exemplifies_property a a_4) False) (Or (Eq (object (skS.0 3 a a_4 a_5)) True) (Eq False True)))))))
% 7.24/7.46 Clause #65 (by clausification #[52]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 7.24/7.46 Or (Eq (object a) False)
% 7.24/7.46 (Or (Eq (property a_1) False)
% 7.24/7.46 (Or (Eq (property a_2) False)
% 7.24/7.46 (Or (Eq (is_the a a_1) True)
% 7.24/7.46 (Or (Eq (exemplifies_property a_2 a_3) False)
% 7.24/7.46 (Or (Eq (object a_3) False)
% 7.24/7.46 (Or (Eq (exemplifies_property a_1 a_3) False)
% 7.24/7.46 (Eq (exemplifies_property a_1 (skS.0 3 a_1 a_3 a_4)) True)))))))
% 7.24/7.46 Clause #66 (by clausification #[52]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 7.24/7.46 Or (Eq (object a) False)
% 7.24/7.46 (Or (Eq (property a_1) False)
% 7.24/7.46 (Or (Eq (property a_2) False)
% 7.24/7.46 (Or (Eq (is_the a a_1) True)
% 7.24/7.46 (Or (Eq (exemplifies_property a_2 a_3) False)
% 7.24/7.46 (Or (Eq (object a_3) False)
% 7.24/7.46 (Or (Eq (exemplifies_property a_1 a_3) False) (Eq (Eq (skS.0 3 a_1 a_3 a_4) a_3) False)))))))
% 7.24/7.46 Clause #67 (by superposition #[65, 19]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.24/7.46 Or (Eq (property a) False)
% 7.24/7.46 (Or (Eq (property a_1) False)
% 7.24/7.46 (Or (Eq (is_the (skS.0 1 a_2 a_3) a) True)
% 7.24/7.46 (Or (Eq (exemplifies_property a_1 a_4) False)
% 7.24/7.46 (Or (Eq (object a_4) False)
% 7.24/7.46 (Or (Eq (exemplifies_property a a_4) False)
% 7.24/7.46 (Or (Eq (exemplifies_property a (skS.0 3 a a_4 a_5)) True) (Eq False True)))))))
% 7.24/7.46 Clause #68 (by clausification #[66]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 7.24/7.46 Or (Eq (object a) False)
% 7.24/7.46 (Or (Eq (property a_1) False)
% 7.24/7.46 (Or (Eq (property a_2) False)
% 7.24/7.46 (Or (Eq (is_the a a_1) True)
% 7.24/7.46 (Or (Eq (exemplifies_property a_2 a_3) False)
% 7.24/7.46 (Or (Eq (object a_3) False)
% 7.24/7.46 (Or (Eq (exemplifies_property a_1 a_3) False) (Ne (skS.0 3 a_1 a_3 a_4) a_3)))))))
% 7.24/7.46 Clause #69 (by superposition #[68, 19]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.24/7.46 Or (Eq (property a) False)
% 7.24/7.46 (Or (Eq (property a_1) False)
% 7.24/7.46 (Or (Eq (is_the (skS.0 1 a_2 a_3) a) True)
% 7.24/7.46 (Or (Eq (exemplifies_property a_1 a_4) False)
% 7.24/7.46 (Or (Eq (object a_4) False)
% 7.24/7.46 (Or (Eq (exemplifies_property a a_4) False) (Or (Ne (skS.0 3 a a_4 a_5) a_4) (Eq False True)))))))
% 7.24/7.46 Clause #72 (by clausification #[69]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.24/7.46 Or (Eq (property a) False)
% 7.24/7.46 (Or (Eq (property a_1) False)
% 7.24/7.46 (Or (Eq (is_the (skS.0 1 a_2 a_3) a) True)
% 7.24/7.46 (Or (Eq (exemplifies_property a_1 a_4) False)
% 7.24/7.46 (Or (Eq (object a_4) False) (Or (Eq (exemplifies_property a a_4) False) (Ne (skS.0 3 a a_4 a_5) a_4))))))
% 7.24/7.46 Clause #73 (by superposition #[72, 5]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.24/7.46 Or (Eq (property a) False)
% 7.24/7.46 (Or (Eq (is_the (skS.0 1 a_1 a_2) (skS.0 0 a_3)) True)
% 7.24/7.46 (Or (Eq (exemplifies_property a a_4) False)
% 7.24/7.46 (Or (Eq (object a_4) False)
% 7.24/7.46 (Or (Eq (exemplifies_property (skS.0 0 a_3) a_4) False)
% 7.24/7.46 (Or (Ne (skS.0 3 (skS.0 0 a_3) a_4 a_5) a_4) (Eq False True))))))
% 7.24/7.46 Clause #76 (by clausification #[53]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.24/7.46 Or (Eq (property a) False)
% 7.24/7.46 (Or (Eq (property a_1) False)
% 7.24/7.46 (Or (Eq (is_the (skS.0 1 a_2 a_3) a) True)
% 7.24/7.46 (Or (Eq (exemplifies_property a_1 a_4) False)
% 7.24/7.46 (Or (Eq (object a_4) False)
% 7.24/7.46 (Or (Eq (exemplifies_property a a_4) False) (Eq (object (skS.0 3 a a_4 a_5)) True))))))
% 7.24/7.46 Clause #77 (by superposition #[76, 5]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.24/7.46 Or (Eq (property a) False)
% 7.24/7.46 (Or (Eq (is_the (skS.0 1 a_1 a_2) (skS.0 0 a_3)) True)
% 7.24/7.46 (Or (Eq (exemplifies_property a a_4) False)
% 7.24/7.46 (Or (Eq (object a_4) False)
% 7.24/7.46 (Or (Eq (exemplifies_property (skS.0 0 a_3) a_4) False)
% 7.24/7.46 (Or (Eq (object (skS.0 3 (skS.0 0 a_3) a_4 a_5)) True) (Eq False True))))))
% 7.24/7.46 Clause #80 (by clausification #[67]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.24/7.46 Or (Eq (property a) False)
% 7.24/7.46 (Or (Eq (property a_1) False)
% 7.24/7.46 (Or (Eq (is_the (skS.0 1 a_2 a_3) a) True)
% 7.24/7.46 (Or (Eq (exemplifies_property a_1 a_4) False)
% 7.24/7.46 (Or (Eq (object a_4) False)
% 7.24/7.46 (Or (Eq (exemplifies_property a a_4) False) (Eq (exemplifies_property a (skS.0 3 a a_4 a_5)) True))))))
% 7.24/7.46 Clause #81 (by superposition #[80, 5]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.30/7.48 Or (Eq (property a) False)
% 7.30/7.48 (Or (Eq (is_the (skS.0 1 a_1 a_2) (skS.0 0 a_3)) True)
% 7.30/7.48 (Or (Eq (exemplifies_property a a_4) False)
% 7.30/7.48 (Or (Eq (object a_4) False)
% 7.30/7.48 (Or (Eq (exemplifies_property (skS.0 0 a_3) a_4) False)
% 7.30/7.48 (Or (Eq (exemplifies_property (skS.0 0 a_3) (skS.0 3 (skS.0 0 a_3) a_4 a_5)) True) (Eq False True))))))
% 7.30/7.48 Clause #103 (by clausification #[73]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.30/7.48 Or (Eq (property a) False)
% 7.30/7.48 (Or (Eq (is_the (skS.0 1 a_1 a_2) (skS.0 0 a_3)) True)
% 7.30/7.48 (Or (Eq (exemplifies_property a a_4) False)
% 7.30/7.48 (Or (Eq (object a_4) False)
% 7.30/7.48 (Or (Eq (exemplifies_property (skS.0 0 a_3) a_4) False) (Ne (skS.0 3 (skS.0 0 a_3) a_4 a_5) a_4)))))
% 7.30/7.48 Clause #104 (by superposition #[103, 5]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.30/7.48 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.48 (Or (Eq (exemplifies_property (skS.0 0 a_3) a_4) False)
% 7.30/7.48 (Or (Eq (object a_4) False)
% 7.30/7.48 (Or (Eq (exemplifies_property (skS.0 0 a_2) a_4) False)
% 7.30/7.48 (Or (Ne (skS.0 3 (skS.0 0 a_2) a_4 a_5) a_4) (Eq False True)))))
% 7.30/7.48 Clause #109 (by clausification #[77]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.30/7.48 Or (Eq (property a) False)
% 7.30/7.48 (Or (Eq (is_the (skS.0 1 a_1 a_2) (skS.0 0 a_3)) True)
% 7.30/7.48 (Or (Eq (exemplifies_property a a_4) False)
% 7.30/7.48 (Or (Eq (object a_4) False)
% 7.30/7.48 (Or (Eq (exemplifies_property (skS.0 0 a_3) a_4) False) (Eq (object (skS.0 3 (skS.0 0 a_3) a_4 a_5)) True)))))
% 7.30/7.48 Clause #110 (by superposition #[109, 5]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.30/7.48 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.48 (Or (Eq (exemplifies_property (skS.0 0 a_3) a_4) False)
% 7.30/7.48 (Or (Eq (object a_4) False)
% 7.30/7.48 (Or (Eq (exemplifies_property (skS.0 0 a_2) a_4) False)
% 7.30/7.48 (Or (Eq (object (skS.0 3 (skS.0 0 a_2) a_4 a_5)) True) (Eq False True)))))
% 7.30/7.48 Clause #113 (by clausification #[81]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.30/7.48 Or (Eq (property a) False)
% 7.30/7.48 (Or (Eq (is_the (skS.0 1 a_1 a_2) (skS.0 0 a_3)) True)
% 7.30/7.48 (Or (Eq (exemplifies_property a a_4) False)
% 7.30/7.48 (Or (Eq (object a_4) False)
% 7.30/7.48 (Or (Eq (exemplifies_property (skS.0 0 a_3) a_4) False)
% 7.30/7.48 (Eq (exemplifies_property (skS.0 0 a_3) (skS.0 3 (skS.0 0 a_3) a_4 a_5)) True)))))
% 7.30/7.48 Clause #114 (by superposition #[113, 5]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.30/7.48 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.48 (Or (Eq (exemplifies_property (skS.0 0 a_3) a_4) False)
% 7.30/7.48 (Or (Eq (object a_4) False)
% 7.30/7.48 (Or (Eq (exemplifies_property (skS.0 0 a_2) a_4) False)
% 7.30/7.48 (Or (Eq (exemplifies_property (skS.0 0 a_2) (skS.0 3 (skS.0 0 a_2) a_4 a_5)) True) (Eq False True)))))
% 7.30/7.48 Clause #118 (by clausification #[104]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.30/7.48 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.48 (Or (Eq (exemplifies_property (skS.0 0 a_3) a_4) False)
% 7.30/7.48 (Or (Eq (object a_4) False)
% 7.30/7.48 (Or (Eq (exemplifies_property (skS.0 0 a_2) a_4) False) (Ne (skS.0 3 (skS.0 0 a_2) a_4 a_5) a_4))))
% 7.30/7.48 Clause #119 (by superposition #[118, 18]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.30/7.48 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.48 (Or (Eq (object (skS.0 1 a_3 a_4)) False)
% 7.30/7.48 (Or (Eq (exemplifies_property (skS.0 0 a_2) (skS.0 1 a_3 a_4)) False)
% 7.30/7.48 (Or (Ne (skS.0 3 (skS.0 0 a_2) (skS.0 1 a_3 a_4) a_5) (skS.0 1 a_3 a_4)) (Eq False True))))
% 7.30/7.48 Clause #120 (by clausification #[110]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.30/7.48 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.48 (Or (Eq (exemplifies_property (skS.0 0 a_3) a_4) False)
% 7.30/7.48 (Or (Eq (object a_4) False)
% 7.30/7.48 (Or (Eq (exemplifies_property (skS.0 0 a_2) a_4) False) (Eq (object (skS.0 3 (skS.0 0 a_2) a_4 a_5)) True))))
% 7.30/7.48 Clause #121 (by superposition #[120, 18]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.30/7.48 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.48 (Or (Eq (object (skS.0 1 a_3 a_4)) False)
% 7.30/7.48 (Or (Eq (exemplifies_property (skS.0 0 a_2) (skS.0 1 a_3 a_4)) False)
% 7.30/7.48 (Or (Eq (object (skS.0 3 (skS.0 0 a_2) (skS.0 1 a_3 a_4) a_5)) True) (Eq False True))))
% 7.30/7.48 Clause #127 (by clausification #[114]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.30/7.51 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.51 (Or (Eq (exemplifies_property (skS.0 0 a_3) a_4) False)
% 7.30/7.51 (Or (Eq (object a_4) False)
% 7.30/7.51 (Or (Eq (exemplifies_property (skS.0 0 a_2) a_4) False)
% 7.30/7.51 (Eq (exemplifies_property (skS.0 0 a_2) (skS.0 3 (skS.0 0 a_2) a_4 a_5)) True))))
% 7.30/7.51 Clause #128 (by superposition #[127, 18]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.30/7.51 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.51 (Or (Eq (object (skS.0 1 a_3 a_4)) False)
% 7.30/7.51 (Or (Eq (exemplifies_property (skS.0 0 a_2) (skS.0 1 a_3 a_4)) False)
% 7.30/7.51 (Or (Eq (exemplifies_property (skS.0 0 a_2) (skS.0 3 (skS.0 0 a_2) (skS.0 1 a_3 a_4) a_5)) True)
% 7.30/7.51 (Eq False True))))
% 7.30/7.51 Clause #212 (by clausification #[119]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.30/7.51 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.51 (Or (Eq (object (skS.0 1 a_3 a_4)) False)
% 7.30/7.51 (Or (Eq (exemplifies_property (skS.0 0 a_2) (skS.0 1 a_3 a_4)) False)
% 7.30/7.51 (Ne (skS.0 3 (skS.0 0 a_2) (skS.0 1 a_3 a_4) a_5) (skS.0 1 a_3 a_4))))
% 7.30/7.51 Clause #213 (by forward demodulation #[212, 19]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.30/7.51 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.51 (Or (Eq True False)
% 7.30/7.51 (Or (Eq (exemplifies_property (skS.0 0 a_2) (skS.0 1 a_3 a_4)) False)
% 7.30/7.51 (Ne (skS.0 3 (skS.0 0 a_2) (skS.0 1 a_3 a_4) a_5) (skS.0 1 a_3 a_4))))
% 7.30/7.51 Clause #214 (by clausification #[213]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.30/7.51 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.51 (Or (Eq (exemplifies_property (skS.0 0 a_2) (skS.0 1 a_3 a_4)) False)
% 7.30/7.51 (Ne (skS.0 3 (skS.0 0 a_2) (skS.0 1 a_3 a_4) a_5) (skS.0 1 a_3 a_4)))
% 7.30/7.51 Clause #215 (by superposition #[214, 18]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 7.30/7.51 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.51 (Or (Ne (skS.0 3 (skS.0 0 a_2) (skS.0 1 a_2 a_3) a_4) (skS.0 1 a_2 a_3)) (Eq False True))
% 7.30/7.51 Clause #240 (by clausification #[215]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 7.30/7.51 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.51 (Ne (skS.0 3 (skS.0 0 a_2) (skS.0 1 a_2 a_3) a_4) (skS.0 1 a_2 a_3))
% 7.30/7.51 Clause #241 (by clausification #[121]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.30/7.51 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.51 (Or (Eq (object (skS.0 1 a_3 a_4)) False)
% 7.30/7.51 (Or (Eq (exemplifies_property (skS.0 0 a_2) (skS.0 1 a_3 a_4)) False)
% 7.30/7.51 (Eq (object (skS.0 3 (skS.0 0 a_2) (skS.0 1 a_3 a_4) a_5)) True)))
% 7.30/7.51 Clause #242 (by forward demodulation #[241, 19]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.30/7.51 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.51 (Or (Eq True False)
% 7.30/7.51 (Or (Eq (exemplifies_property (skS.0 0 a_2) (skS.0 1 a_3 a_4)) False)
% 7.30/7.51 (Eq (object (skS.0 3 (skS.0 0 a_2) (skS.0 1 a_3 a_4) a_5)) True)))
% 7.30/7.51 Clause #243 (by clausification #[242]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.30/7.51 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.51 (Or (Eq (exemplifies_property (skS.0 0 a_2) (skS.0 1 a_3 a_4)) False)
% 7.30/7.51 (Eq (object (skS.0 3 (skS.0 0 a_2) (skS.0 1 a_3 a_4) a_5)) True))
% 7.30/7.51 Clause #244 (by superposition #[243, 18]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 7.30/7.51 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.51 (Or (Eq (object (skS.0 3 (skS.0 0 a_2) (skS.0 1 a_2 a_3) a_4)) True) (Eq False True))
% 7.30/7.51 Clause #247 (by clausification #[244]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 7.30/7.51 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True) (Eq (object (skS.0 3 (skS.0 0 a_2) (skS.0 1 a_2 a_3) a_4)) True)
% 7.30/7.51 Clause #248 (by superposition #[247, 41]): ∀ (a a_1 a_2 : Iota), Or (Eq (object (skS.0 3 (skS.0 0 a) (skS.0 1 a a_1) a_2)) True) (Eq True False)
% 7.30/7.51 Clause #261 (by clausification #[248]): ∀ (a a_1 a_2 : Iota), Eq (object (skS.0 3 (skS.0 0 a) (skS.0 1 a a_1) a_2)) True
% 7.30/7.51 Clause #262 (by superposition #[261, 15]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 7.30/7.51 Or (Eq True False)
% 7.30/7.51 (Or (Eq (exemplifies_property (skS.0 0 a) (skS.0 3 (skS.0 0 a_1) (skS.0 1 a_1 a_2) a_3)) False)
% 7.30/7.51 (Eq (skS.0 3 (skS.0 0 a_1) (skS.0 1 a_1 a_2) a_3) (skS.0 1 a a_4)))
% 7.30/7.51 Clause #374 (by clausification #[128]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.30/7.51 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.51 (Or (Eq (object (skS.0 1 a_3 a_4)) False)
% 7.30/7.52 (Or (Eq (exemplifies_property (skS.0 0 a_2) (skS.0 1 a_3 a_4)) False)
% 7.30/7.52 (Eq (exemplifies_property (skS.0 0 a_2) (skS.0 3 (skS.0 0 a_2) (skS.0 1 a_3 a_4) a_5)) True)))
% 7.30/7.52 Clause #375 (by forward demodulation #[374, 19]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.30/7.52 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.52 (Or (Eq True False)
% 7.30/7.52 (Or (Eq (exemplifies_property (skS.0 0 a_2) (skS.0 1 a_3 a_4)) False)
% 7.30/7.52 (Eq (exemplifies_property (skS.0 0 a_2) (skS.0 3 (skS.0 0 a_2) (skS.0 1 a_3 a_4) a_5)) True)))
% 7.30/7.52 Clause #376 (by clausification #[375]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 7.30/7.52 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.52 (Or (Eq (exemplifies_property (skS.0 0 a_2) (skS.0 1 a_3 a_4)) False)
% 7.30/7.52 (Eq (exemplifies_property (skS.0 0 a_2) (skS.0 3 (skS.0 0 a_2) (skS.0 1 a_3 a_4) a_5)) True))
% 7.30/7.52 Clause #377 (by superposition #[376, 18]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 7.30/7.52 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.52 (Or (Eq (exemplifies_property (skS.0 0 a_2) (skS.0 3 (skS.0 0 a_2) (skS.0 1 a_2 a_3) a_4)) True) (Eq False True))
% 7.30/7.52 Clause #399 (by clausification #[377]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 7.30/7.52 Or (Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True)
% 7.30/7.52 (Eq (exemplifies_property (skS.0 0 a_2) (skS.0 3 (skS.0 0 a_2) (skS.0 1 a_2 a_3) a_4)) True)
% 7.30/7.52 Clause #400 (by superposition #[399, 41]): ∀ (a a_1 a_2 : Iota),
% 7.30/7.52 Or (Eq (exemplifies_property (skS.0 0 a) (skS.0 3 (skS.0 0 a) (skS.0 1 a a_1) a_2)) True) (Eq True False)
% 7.30/7.52 Clause #446 (by clausification #[400]): ∀ (a a_1 a_2 : Iota), Eq (exemplifies_property (skS.0 0 a) (skS.0 3 (skS.0 0 a) (skS.0 1 a a_1) a_2)) True
% 7.30/7.52 Clause #519 (by clausification #[262]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 7.30/7.52 Or (Eq (exemplifies_property (skS.0 0 a) (skS.0 3 (skS.0 0 a_1) (skS.0 1 a_1 a_2) a_3)) False)
% 7.30/7.52 (Eq (skS.0 3 (skS.0 0 a_1) (skS.0 1 a_1 a_2) a_3) (skS.0 1 a a_4))
% 7.30/7.52 Clause #520 (by superposition #[519, 446]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (skS.0 3 (skS.0 0 a) (skS.0 1 a a_1) a_2) (skS.0 1 a a_3)) (Eq False True)
% 7.30/7.52 Clause #524 (by clausification #[520]): ∀ (a a_1 a_2 a_3 : Iota), Eq (skS.0 3 (skS.0 0 a) (skS.0 1 a a_1) a_2) (skS.0 1 a a_3)
% 7.30/7.52 Clause #525 (by backward contextual literal cutting #[524, 240]): ∀ (a a_1 a_2 : Iota), Eq (is_the (skS.0 1 a a_1) (skS.0 0 a_2)) True
% 7.30/7.52 Clause #561 (by superposition #[525, 41]): Eq True False
% 7.30/7.52 Clause #562 (by clausification #[561]): False
% 7.30/7.52 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------