TSTP Solution File: PHI010+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : PHI010+1 : TPTP v8.1.2. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n006.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 3.91s 4.07s
% Output : Proof 3.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PHI010+1 : TPTP v8.1.2. Released v7.2.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 08:46:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.91/4.07 SZS status Theorem for theBenchmark.p
% 3.91/4.07 SZS output start Proof for theBenchmark.p
% 3.91/4.07 Clause #3 (by assumption #[]): Eq
% 3.91/4.07 (∀ (F X W : Iota),
% 3.91/4.07 And (And (property F) (object X)) (object W) →
% 3.91/4.07 Iff (And (is_the X F) (Eq X W))
% 3.91/4.07 (Exists fun Y =>
% 3.91/4.07 And
% 3.91/4.07 (And (And (object Y) (exemplifies_property F Y))
% 3.91/4.07 (∀ (Z : Iota), object Z → exemplifies_property F Z → Eq Z Y))
% 3.91/4.07 (Eq Y W)))
% 3.91/4.07 True
% 3.91/4.07 Clause #4 (by assumption #[]): Eq
% 3.91/4.07 (Not
% 3.91/4.07 (∀ (X F Y : Iota),
% 3.91/4.07 And (And (object X) (property F)) (object Y) → And (is_the X F) (Eq X Y) → exemplifies_property F Y))
% 3.91/4.07 True
% 3.91/4.07 Clause #18 (by clausification #[3]): ∀ (a : Iota),
% 3.91/4.07 Eq
% 3.91/4.07 (∀ (X W : Iota),
% 3.91/4.07 And (And (property a) (object X)) (object W) →
% 3.91/4.07 Iff (And (is_the X a) (Eq X W))
% 3.91/4.07 (Exists fun Y =>
% 3.91/4.07 And
% 3.91/4.07 (And (And (object Y) (exemplifies_property a Y))
% 3.91/4.07 (∀ (Z : Iota), object Z → exemplifies_property a Z → Eq Z Y))
% 3.91/4.07 (Eq Y W)))
% 3.91/4.07 True
% 3.91/4.07 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota),
% 3.91/4.07 Eq
% 3.91/4.07 (∀ (W : Iota),
% 3.91/4.07 And (And (property a) (object a_1)) (object W) →
% 3.91/4.07 Iff (And (is_the a_1 a) (Eq a_1 W))
% 3.91/4.07 (Exists fun Y =>
% 3.91/4.07 And
% 3.91/4.07 (And (And (object Y) (exemplifies_property a Y))
% 3.91/4.07 (∀ (Z : Iota), object Z → exemplifies_property a Z → Eq Z Y))
% 3.91/4.07 (Eq Y W)))
% 3.91/4.07 True
% 3.91/4.07 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 : Iota),
% 3.91/4.07 Eq
% 3.91/4.07 (And (And (property a) (object a_1)) (object a_2) →
% 3.91/4.07 Iff (And (is_the a_1 a) (Eq a_1 a_2))
% 3.91/4.07 (Exists fun Y =>
% 3.91/4.07 And
% 3.91/4.07 (And (And (object Y) (exemplifies_property a Y))
% 3.91/4.07 (∀ (Z : Iota), object Z → exemplifies_property a Z → Eq Z Y))
% 3.91/4.07 (Eq Y a_2)))
% 3.91/4.07 True
% 3.91/4.07 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 : Iota),
% 3.91/4.07 Or (Eq (And (And (property a) (object a_1)) (object a_2)) False)
% 3.91/4.07 (Eq
% 3.91/4.07 (Iff (And (is_the a_1 a) (Eq a_1 a_2))
% 3.91/4.07 (Exists fun Y =>
% 3.91/4.07 And
% 3.91/4.07 (And (And (object Y) (exemplifies_property a Y))
% 3.91/4.07 (∀ (Z : Iota), object Z → exemplifies_property a Z → Eq Z Y))
% 3.91/4.07 (Eq Y a_2)))
% 3.91/4.07 True)
% 3.91/4.07 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 : Iota),
% 3.91/4.07 Or
% 3.91/4.07 (Eq
% 3.91/4.07 (Iff (And (is_the a a_1) (Eq a a_2))
% 3.91/4.07 (Exists fun Y =>
% 3.91/4.07 And
% 3.91/4.07 (And (And (object Y) (exemplifies_property a_1 Y))
% 3.91/4.07 (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z Y))
% 3.91/4.07 (Eq Y a_2)))
% 3.91/4.07 True)
% 3.91/4.07 (Or (Eq (And (property a_1) (object a)) False) (Eq (object a_2) False))
% 3.91/4.07 Clause #24 (by clausification #[22]): ∀ (a a_1 a_2 : Iota),
% 3.91/4.07 Or (Eq (And (property a) (object a_1)) False)
% 3.91/4.07 (Or (Eq (object a_2) False)
% 3.91/4.07 (Or (Eq (And (is_the a_1 a) (Eq a_1 a_2)) False)
% 3.91/4.07 (Eq
% 3.91/4.07 (Exists fun Y =>
% 3.91/4.07 And
% 3.91/4.07 (And (And (object Y) (exemplifies_property a Y))
% 3.91/4.07 (∀ (Z : Iota), object Z → exemplifies_property a Z → Eq Z Y))
% 3.91/4.07 (Eq Y a_2))
% 3.91/4.07 True)))
% 3.91/4.07 Clause #40 (by clausification #[4]): Eq
% 3.91/4.07 (∀ (X F Y : Iota),
% 3.91/4.07 And (And (object X) (property F)) (object Y) → And (is_the X F) (Eq X Y) → exemplifies_property F Y)
% 3.91/4.07 False
% 3.91/4.07 Clause #41 (by clausification #[40]): ∀ (a : Iota),
% 3.91/4.07 Eq
% 3.91/4.07 (Not
% 3.91/4.07 (∀ (F Y : Iota),
% 3.91/4.07 And (And (object (skS.0 1 a)) (property F)) (object Y) →
% 3.91/4.07 And (is_the (skS.0 1 a) F) (Eq (skS.0 1 a) Y) → exemplifies_property F Y))
% 3.91/4.07 True
% 3.91/4.07 Clause #42 (by clausification #[41]): ∀ (a : Iota),
% 3.91/4.07 Eq
% 3.91/4.07 (∀ (F Y : Iota),
% 3.91/4.07 And (And (object (skS.0 1 a)) (property F)) (object Y) →
% 3.91/4.07 And (is_the (skS.0 1 a) F) (Eq (skS.0 1 a) Y) → exemplifies_property F Y)
% 3.91/4.07 False
% 3.91/4.07 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota),
% 3.91/4.07 Eq
% 3.91/4.07 (Not
% 3.91/4.07 (∀ (Y : Iota),
% 3.91/4.07 And (And (object (skS.0 1 a)) (property (skS.0 2 a a_1))) (object Y) →
% 3.91/4.07 And (is_the (skS.0 1 a) (skS.0 2 a a_1)) (Eq (skS.0 1 a) Y) → exemplifies_property (skS.0 2 a a_1) Y))
% 3.91/4.07 True
% 3.91/4.07 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota),
% 3.91/4.10 Eq
% 3.91/4.10 (∀ (Y : Iota),
% 3.91/4.10 And (And (object (skS.0 1 a)) (property (skS.0 2 a a_1))) (object Y) →
% 3.91/4.10 And (is_the (skS.0 1 a) (skS.0 2 a a_1)) (Eq (skS.0 1 a) Y) → exemplifies_property (skS.0 2 a a_1) Y)
% 3.91/4.10 False
% 3.91/4.10 Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 : Iota),
% 3.91/4.10 Eq
% 3.91/4.10 (Not
% 3.91/4.10 (And (And (object (skS.0 1 a)) (property (skS.0 2 a a_1))) (object (skS.0 3 a a_1 a_2)) →
% 3.91/4.10 And (is_the (skS.0 1 a) (skS.0 2 a a_1)) (Eq (skS.0 1 a) (skS.0 3 a a_1 a_2)) →
% 3.91/4.10 exemplifies_property (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)))
% 3.91/4.10 True
% 3.91/4.10 Clause #46 (by clausification #[45]): ∀ (a a_1 a_2 : Iota),
% 3.91/4.10 Eq
% 3.91/4.10 (And (And (object (skS.0 1 a)) (property (skS.0 2 a a_1))) (object (skS.0 3 a a_1 a_2)) →
% 3.91/4.10 And (is_the (skS.0 1 a) (skS.0 2 a a_1)) (Eq (skS.0 1 a) (skS.0 3 a a_1 a_2)) →
% 3.91/4.10 exemplifies_property (skS.0 2 a a_1) (skS.0 3 a a_1 a_2))
% 3.91/4.10 False
% 3.91/4.10 Clause #47 (by clausification #[46]): ∀ (a a_1 a_2 : Iota), Eq (And (And (object (skS.0 1 a)) (property (skS.0 2 a a_1))) (object (skS.0 3 a a_1 a_2))) True
% 3.91/4.10 Clause #48 (by clausification #[46]): ∀ (a a_1 a_2 : Iota),
% 3.91/4.10 Eq
% 3.91/4.10 (And (is_the (skS.0 1 a) (skS.0 2 a a_1)) (Eq (skS.0 1 a) (skS.0 3 a a_1 a_2)) →
% 3.91/4.10 exemplifies_property (skS.0 2 a a_1) (skS.0 3 a a_1 a_2))
% 3.91/4.10 False
% 3.91/4.10 Clause #50 (by clausification #[47]): ∀ (a a_1 : Iota), Eq (And (object (skS.0 1 a)) (property (skS.0 2 a a_1))) True
% 3.91/4.10 Clause #54 (by clausification #[50]): ∀ (a a_1 : Iota), Eq (property (skS.0 2 a a_1)) True
% 3.91/4.10 Clause #55 (by clausification #[50]): ∀ (a : Iota), Eq (object (skS.0 1 a)) True
% 3.91/4.10 Clause #59 (by clausification #[24]): ∀ (a a_1 a_2 : Iota),
% 3.91/4.10 Or (Eq (object a) False)
% 3.91/4.10 (Or (Eq (And (is_the a_1 a_2) (Eq a_1 a)) False)
% 3.91/4.10 (Or
% 3.91/4.10 (Eq
% 3.91/4.10 (Exists fun Y =>
% 3.91/4.10 And
% 3.91/4.10 (And (And (object Y) (exemplifies_property a_2 Y))
% 3.91/4.10 (∀ (Z : Iota), object Z → exemplifies_property a_2 Z → Eq Z Y))
% 3.91/4.10 (Eq Y a))
% 3.91/4.10 True)
% 3.91/4.10 (Or (Eq (property a_2) False) (Eq (object a_1) False))))
% 3.91/4.10 Clause #60 (by clausification #[59]): ∀ (a a_1 a_2 : Iota),
% 3.91/4.10 Or (Eq (object a) False)
% 3.91/4.10 (Or
% 3.91/4.10 (Eq
% 3.91/4.10 (Exists fun Y =>
% 3.91/4.10 And
% 3.91/4.10 (And (And (object Y) (exemplifies_property a_1 Y))
% 3.91/4.10 (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z Y))
% 3.91/4.10 (Eq Y a))
% 3.91/4.10 True)
% 3.91/4.10 (Or (Eq (property a_1) False)
% 3.91/4.10 (Or (Eq (object a_2) False) (Or (Eq (is_the a_2 a_1) False) (Eq (Eq a_2 a) False)))))
% 3.91/4.10 Clause #61 (by clausification #[60]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.91/4.10 Or (Eq (object a) False)
% 3.91/4.10 (Or (Eq (property a_1) False)
% 3.91/4.10 (Or (Eq (object a_2) False)
% 3.91/4.10 (Or (Eq (is_the a_2 a_1) False)
% 3.91/4.10 (Or (Eq (Eq a_2 a) False)
% 3.91/4.10 (Eq
% 3.91/4.10 (And
% 3.91/4.10 (And (And (object (skS.0 4 a_1 a a_3)) (exemplifies_property a_1 (skS.0 4 a_1 a a_3)))
% 3.91/4.10 (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z (skS.0 4 a_1 a a_3)))
% 3.91/4.10 (Eq (skS.0 4 a_1 a a_3) a))
% 3.91/4.10 True)))))
% 3.91/4.10 Clause #62 (by clausification #[61]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.91/4.10 Or (Eq (object a) False)
% 3.91/4.10 (Or (Eq (property a_1) False)
% 3.91/4.10 (Or (Eq (object a_2) False)
% 3.91/4.10 (Or (Eq (is_the a_2 a_1) False)
% 3.91/4.10 (Or
% 3.91/4.10 (Eq
% 3.91/4.10 (And
% 3.91/4.10 (And (And (object (skS.0 4 a_1 a a_3)) (exemplifies_property a_1 (skS.0 4 a_1 a a_3)))
% 3.91/4.10 (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z (skS.0 4 a_1 a a_3)))
% 3.91/4.10 (Eq (skS.0 4 a_1 a a_3) a))
% 3.91/4.10 True)
% 3.91/4.10 (Ne a_2 a)))))
% 3.91/4.10 Clause #63 (by clausification #[62]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.91/4.10 Or (Eq (object a) False)
% 3.91/4.10 (Or (Eq (property a_1) False)
% 3.91/4.10 (Or (Eq (object a_2) False)
% 3.91/4.10 (Or (Eq (is_the a_2 a_1) False) (Or (Ne a_2 a) (Eq (Eq (skS.0 4 a_1 a a_3) a) True)))))
% 3.91/4.10 Clause #64 (by clausification #[62]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.91/4.10 Or (Eq (object a) False)
% 3.91/4.10 (Or (Eq (property a_1) False)
% 3.91/4.10 (Or (Eq (object a_2) False)
% 3.91/4.10 (Or (Eq (is_the a_2 a_1) False)
% 3.91/4.10 (Or (Ne a_2 a)
% 3.91/4.12 (Eq
% 3.91/4.12 (And (And (object (skS.0 4 a_1 a a_3)) (exemplifies_property a_1 (skS.0 4 a_1 a a_3)))
% 3.91/4.12 (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z (skS.0 4 a_1 a a_3)))
% 3.91/4.12 True)))))
% 3.91/4.12 Clause #65 (by clausification #[63]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.91/4.12 Or (Eq (object a) False)
% 3.91/4.12 (Or (Eq (property a_1) False)
% 3.91/4.12 (Or (Eq (object a_2) False) (Or (Eq (is_the a_2 a_1) False) (Or (Ne a_2 a) (Eq (skS.0 4 a_1 a a_3) a)))))
% 3.91/4.12 Clause #66 (by destructive equality resolution #[65]): ∀ (a a_1 a_2 : Iota),
% 3.91/4.12 Or (Eq (object a) False)
% 3.91/4.12 (Or (Eq (property a_1) False) (Or (Eq (object a) False) (Or (Eq (is_the a a_1) False) (Eq (skS.0 4 a_1 a a_2) a))))
% 3.91/4.12 Clause #67 (by eliminate duplicate literals #[66]): ∀ (a a_1 a_2 : Iota),
% 3.91/4.12 Or (Eq (object a) False) (Or (Eq (property a_1) False) (Or (Eq (is_the a a_1) False) (Eq (skS.0 4 a_1 a a_2) a)))
% 3.91/4.12 Clause #69 (by superposition #[67, 55]): ∀ (a a_1 a_2 : Iota),
% 3.91/4.12 Or (Eq (property a) False)
% 3.91/4.12 (Or (Eq (is_the (skS.0 1 a_1) a) False) (Or (Eq (skS.0 4 a (skS.0 1 a_1) a_2) (skS.0 1 a_1)) (Eq False True)))
% 3.91/4.12 Clause #70 (by clausification #[48]): ∀ (a a_1 a_2 : Iota), Eq (And (is_the (skS.0 1 a) (skS.0 2 a a_1)) (Eq (skS.0 1 a) (skS.0 3 a a_1 a_2))) True
% 3.91/4.12 Clause #71 (by clausification #[48]): ∀ (a a_1 a_2 : Iota), Eq (exemplifies_property (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)) False
% 3.91/4.12 Clause #72 (by clausification #[70]): ∀ (a a_1 a_2 : Iota), Eq (Eq (skS.0 1 a) (skS.0 3 a a_1 a_2)) True
% 3.91/4.12 Clause #73 (by clausification #[70]): ∀ (a a_1 : Iota), Eq (is_the (skS.0 1 a) (skS.0 2 a a_1)) True
% 3.91/4.12 Clause #74 (by clausification #[72]): ∀ (a a_1 a_2 : Iota), Eq (skS.0 1 a) (skS.0 3 a a_1 a_2)
% 3.91/4.12 Clause #77 (by forward demodulation #[71, 74]): ∀ (a a_1 : Iota), Eq (exemplifies_property (skS.0 2 a a_1) (skS.0 1 a)) False
% 3.91/4.12 Clause #90 (by clausification #[69]): ∀ (a a_1 a_2 : Iota),
% 3.91/4.12 Or (Eq (property a) False) (Or (Eq (is_the (skS.0 1 a_1) a) False) (Eq (skS.0 4 a (skS.0 1 a_1) a_2) (skS.0 1 a_1)))
% 3.91/4.12 Clause #91 (by superposition #[90, 54]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.91/4.12 Or (Eq (is_the (skS.0 1 a) (skS.0 2 a_1 a_2)) False)
% 3.91/4.12 (Or (Eq (skS.0 4 (skS.0 2 a_1 a_2) (skS.0 1 a) a_3) (skS.0 1 a)) (Eq False True))
% 3.91/4.12 Clause #124 (by clausification #[64]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.91/4.12 Or (Eq (object a) False)
% 3.91/4.12 (Or (Eq (property a_1) False)
% 3.91/4.12 (Or (Eq (object a_2) False)
% 3.91/4.12 (Or (Eq (is_the a_2 a_1) False)
% 3.91/4.12 (Or (Ne a_2 a) (Eq (And (object (skS.0 4 a_1 a a_3)) (exemplifies_property a_1 (skS.0 4 a_1 a a_3))) True)))))
% 3.91/4.12 Clause #134 (by clausification #[124]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.91/4.12 Or (Eq (object a) False)
% 3.91/4.12 (Or (Eq (property a_1) False)
% 3.91/4.12 (Or (Eq (object a_2) False)
% 3.91/4.12 (Or (Eq (is_the a_2 a_1) False) (Or (Ne a_2 a) (Eq (exemplifies_property a_1 (skS.0 4 a_1 a a_3)) True)))))
% 3.91/4.12 Clause #136 (by destructive equality resolution #[134]): ∀ (a a_1 a_2 : Iota),
% 3.91/4.12 Or (Eq (object a) False)
% 3.91/4.12 (Or (Eq (property a_1) False)
% 3.91/4.12 (Or (Eq (object a) False)
% 3.91/4.12 (Or (Eq (is_the a a_1) False) (Eq (exemplifies_property a_1 (skS.0 4 a_1 a a_2)) True))))
% 3.91/4.12 Clause #137 (by eliminate duplicate literals #[136]): ∀ (a a_1 a_2 : Iota),
% 3.91/4.12 Or (Eq (object a) False)
% 3.91/4.12 (Or (Eq (property a_1) False)
% 3.91/4.12 (Or (Eq (is_the a a_1) False) (Eq (exemplifies_property a_1 (skS.0 4 a_1 a a_2)) True)))
% 3.91/4.12 Clause #138 (by superposition #[137, 55]): ∀ (a a_1 a_2 : Iota),
% 3.91/4.12 Or (Eq (property a) False)
% 3.91/4.12 (Or (Eq (is_the (skS.0 1 a_1) a) False)
% 3.91/4.12 (Or (Eq (exemplifies_property a (skS.0 4 a (skS.0 1 a_1) a_2)) True) (Eq False True)))
% 3.91/4.12 Clause #144 (by clausification #[138]): ∀ (a a_1 a_2 : Iota),
% 3.91/4.12 Or (Eq (property a) False)
% 3.91/4.12 (Or (Eq (is_the (skS.0 1 a_1) a) False) (Eq (exemplifies_property a (skS.0 4 a (skS.0 1 a_1) a_2)) True))
% 3.91/4.12 Clause #145 (by superposition #[144, 54]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.91/4.12 Or (Eq (is_the (skS.0 1 a) (skS.0 2 a_1 a_2)) False)
% 3.91/4.12 (Or (Eq (exemplifies_property (skS.0 2 a_1 a_2) (skS.0 4 (skS.0 2 a_1 a_2) (skS.0 1 a) a_3)) True) (Eq False True))
% 3.91/4.12 Clause #166 (by clausification #[91]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.91/4.12 Or (Eq (is_the (skS.0 1 a) (skS.0 2 a_1 a_2)) False) (Eq (skS.0 4 (skS.0 2 a_1 a_2) (skS.0 1 a) a_3) (skS.0 1 a))
% 3.91/4.13 Clause #167 (by superposition #[166, 73]): ∀ (a a_1 a_2 : Iota), Or (Eq (skS.0 4 (skS.0 2 a a_1) (skS.0 1 a) a_2) (skS.0 1 a)) (Eq False True)
% 3.91/4.13 Clause #171 (by clausification #[167]): ∀ (a a_1 a_2 : Iota), Eq (skS.0 4 (skS.0 2 a a_1) (skS.0 1 a) a_2) (skS.0 1 a)
% 3.91/4.13 Clause #172 (by clausification #[145]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.91/4.13 Or (Eq (is_the (skS.0 1 a) (skS.0 2 a_1 a_2)) False)
% 3.91/4.13 (Eq (exemplifies_property (skS.0 2 a_1 a_2) (skS.0 4 (skS.0 2 a_1 a_2) (skS.0 1 a) a_3)) True)
% 3.91/4.13 Clause #173 (by superposition #[172, 73]): ∀ (a a_1 a_2 : Iota),
% 3.91/4.13 Or (Eq (exemplifies_property (skS.0 2 a a_1) (skS.0 4 (skS.0 2 a a_1) (skS.0 1 a) a_2)) True) (Eq False True)
% 3.91/4.13 Clause #174 (by clausification #[173]): ∀ (a a_1 a_2 : Iota), Eq (exemplifies_property (skS.0 2 a a_1) (skS.0 4 (skS.0 2 a a_1) (skS.0 1 a) a_2)) True
% 3.91/4.13 Clause #175 (by forward demodulation #[174, 171]): ∀ (a a_1 : Iota), Eq (exemplifies_property (skS.0 2 a a_1) (skS.0 1 a)) True
% 3.91/4.13 Clause #176 (by superposition #[175, 77]): Eq True False
% 3.91/4.13 Clause #177 (by clausification #[176]): False
% 3.91/4.13 SZS output end Proof for theBenchmark.p
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