TSTP Solution File: SEU746^2 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEU746^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n020.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 16:43:41 EDT 2023
% Result : Theorem 4.51s 4.69s
% Output : Proof 4.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU746^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.12 % Command : duper %s
% 0.16/0.34 % Computer : n020.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Wed Aug 23 16:23:15 EDT 2023
% 0.16/0.34 % CPUTime :
% 4.51/4.69 SZS status Theorem for theBenchmark.p
% 4.51/4.69 SZS output start Proof for theBenchmark.p
% 4.51/4.69 Clause #0 (by assumption #[]): Eq (Eq binunionE (∀ (A B Xx : Iota), in Xx (binunion A B) → Or (in Xx A) (in Xx B))) True
% 4.51/4.69 Clause #1 (by assumption #[]): Eq
% 4.51/4.69 (Not
% 4.51/4.69 (binunionE →
% 4.51/4.69 ∀ (A X : Iota),
% 4.51/4.69 in X (powerset A) →
% 4.51/4.69 ∀ (Y : Iota),
% 4.51/4.69 in Y (powerset A) →
% 4.51/4.69 ∀ (Xphi : Prop) (Xx : Iota), in Xx A → in Xx (binunion X Y) → (in Xx X → Xphi) → (in Xx Y → Xphi) → Xphi))
% 4.51/4.69 True
% 4.51/4.69 Clause #2 (by clausification #[1]): Eq
% 4.51/4.69 (binunionE →
% 4.51/4.69 ∀ (A X : Iota),
% 4.51/4.69 in X (powerset A) →
% 4.51/4.69 ∀ (Y : Iota),
% 4.51/4.69 in Y (powerset A) →
% 4.51/4.69 ∀ (Xphi : Prop) (Xx : Iota), in Xx A → in Xx (binunion X Y) → (in Xx X → Xphi) → (in Xx Y → Xphi) → Xphi)
% 4.51/4.69 False
% 4.51/4.69 Clause #3 (by clausification #[2]): Eq binunionE True
% 4.51/4.69 Clause #4 (by clausification #[2]): Eq
% 4.51/4.69 (∀ (A X : Iota),
% 4.51/4.69 in X (powerset A) →
% 4.51/4.69 ∀ (Y : Iota),
% 4.51/4.69 in Y (powerset A) →
% 4.51/4.69 ∀ (Xphi : Prop) (Xx : Iota), in Xx A → in Xx (binunion X Y) → (in Xx X → Xphi) → (in Xx Y → Xphi) → Xphi)
% 4.51/4.69 False
% 4.51/4.69 Clause #5 (by clausification #[4]): ∀ (a : Iota),
% 4.51/4.69 Eq
% 4.51/4.69 (Not
% 4.51/4.69 (∀ (X : Iota),
% 4.51/4.69 in X (powerset (skS.0 0 a)) →
% 4.51/4.69 ∀ (Y : Iota),
% 4.51/4.69 in Y (powerset (skS.0 0 a)) →
% 4.51/4.69 ∀ (Xphi : Prop) (Xx : Iota),
% 4.51/4.69 in Xx (skS.0 0 a) → in Xx (binunion X Y) → (in Xx X → Xphi) → (in Xx Y → Xphi) → Xphi))
% 4.51/4.69 True
% 4.51/4.69 Clause #6 (by clausification #[5]): ∀ (a : Iota),
% 4.51/4.69 Eq
% 4.51/4.69 (∀ (X : Iota),
% 4.51/4.69 in X (powerset (skS.0 0 a)) →
% 4.51/4.69 ∀ (Y : Iota),
% 4.51/4.69 in Y (powerset (skS.0 0 a)) →
% 4.51/4.69 ∀ (Xphi : Prop) (Xx : Iota),
% 4.51/4.69 in Xx (skS.0 0 a) → in Xx (binunion X Y) → (in Xx X → Xphi) → (in Xx Y → Xphi) → Xphi)
% 4.51/4.69 False
% 4.51/4.69 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota),
% 4.51/4.69 Eq
% 4.51/4.69 (Not
% 4.51/4.69 (in (skS.0 1 a a_1) (powerset (skS.0 0 a)) →
% 4.51/4.69 ∀ (Y : Iota),
% 4.51/4.69 in Y (powerset (skS.0 0 a)) →
% 4.51/4.69 ∀ (Xphi : Prop) (Xx : Iota),
% 4.51/4.69 in Xx (skS.0 0 a) →
% 4.51/4.69 in Xx (binunion (skS.0 1 a a_1) Y) → (in Xx (skS.0 1 a a_1) → Xphi) → (in Xx Y → Xphi) → Xphi))
% 4.51/4.69 True
% 4.51/4.69 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota),
% 4.51/4.69 Eq
% 4.51/4.69 (in (skS.0 1 a a_1) (powerset (skS.0 0 a)) →
% 4.51/4.69 ∀ (Y : Iota),
% 4.51/4.69 in Y (powerset (skS.0 0 a)) →
% 4.51/4.69 ∀ (Xphi : Prop) (Xx : Iota),
% 4.51/4.69 in Xx (skS.0 0 a) →
% 4.51/4.69 in Xx (binunion (skS.0 1 a a_1) Y) → (in Xx (skS.0 1 a a_1) → Xphi) → (in Xx Y → Xphi) → Xphi)
% 4.51/4.69 False
% 4.51/4.69 Clause #10 (by clausification #[8]): ∀ (a a_1 : Iota),
% 4.51/4.69 Eq
% 4.51/4.69 (∀ (Y : Iota),
% 4.51/4.69 in Y (powerset (skS.0 0 a)) →
% 4.51/4.69 ∀ (Xphi : Prop) (Xx : Iota),
% 4.51/4.69 in Xx (skS.0 0 a) →
% 4.51/4.69 in Xx (binunion (skS.0 1 a a_1) Y) → (in Xx (skS.0 1 a a_1) → Xphi) → (in Xx Y → Xphi) → Xphi)
% 4.51/4.69 False
% 4.51/4.69 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 : Iota),
% 4.51/4.69 Eq
% 4.51/4.69 (Not
% 4.51/4.69 (in (skS.0 2 a a_1 a_2) (powerset (skS.0 0 a)) →
% 4.51/4.69 ∀ (Xphi : Prop) (Xx : Iota),
% 4.51/4.69 in Xx (skS.0 0 a) →
% 4.51/4.69 in Xx (binunion (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) →
% 4.51/4.69 (in Xx (skS.0 1 a a_1) → Xphi) → (in Xx (skS.0 2 a a_1 a_2) → Xphi) → Xphi))
% 4.51/4.69 True
% 4.51/4.69 Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 : Iota),
% 4.51/4.69 Eq
% 4.51/4.69 (in (skS.0 2 a a_1 a_2) (powerset (skS.0 0 a)) →
% 4.51/4.69 ∀ (Xphi : Prop) (Xx : Iota),
% 4.51/4.69 in Xx (skS.0 0 a) →
% 4.51/4.69 in Xx (binunion (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) →
% 4.51/4.69 (in Xx (skS.0 1 a a_1) → Xphi) → (in Xx (skS.0 2 a a_1 a_2) → Xphi) → Xphi)
% 4.51/4.69 False
% 4.51/4.69 Clause #14 (by clausification #[12]): ∀ (a a_1 a_2 : Iota),
% 4.51/4.69 Eq
% 4.51/4.69 (∀ (Xphi : Prop) (Xx : Iota),
% 4.51/4.69 in Xx (skS.0 0 a) →
% 4.51/4.69 in Xx (binunion (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) →
% 4.51/4.69 (in Xx (skS.0 1 a a_1) → Xphi) → (in Xx (skS.0 2 a a_1 a_2) → Xphi) → Xphi)
% 4.51/4.69 False
% 4.51/4.69 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop),
% 4.51/4.69 Eq
% 4.51/4.69 (Not
% 4.51/4.72 (∀ (Xx : Iota),
% 4.51/4.72 in Xx (skS.0 0 a) →
% 4.51/4.72 in Xx (binunion (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) →
% 4.51/4.72 (in Xx (skS.0 1 a a_1) → skS.0 3 a a_1 a_2 a_3) →
% 4.51/4.72 (in Xx (skS.0 2 a a_1 a_2) → skS.0 3 a a_1 a_2 a_3) → skS.0 3 a a_1 a_2 a_3))
% 4.51/4.72 True
% 4.51/4.72 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop),
% 4.51/4.72 Eq
% 4.51/4.72 (∀ (Xx : Iota),
% 4.51/4.72 in Xx (skS.0 0 a) →
% 4.51/4.72 in Xx (binunion (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) →
% 4.51/4.72 (in Xx (skS.0 1 a a_1) → skS.0 3 a a_1 a_2 a_3) →
% 4.51/4.72 (in Xx (skS.0 2 a a_1 a_2) → skS.0 3 a a_1 a_2 a_3) → skS.0 3 a a_1 a_2 a_3)
% 4.51/4.72 False
% 4.51/4.72 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop) (a_4 : Iota),
% 4.51/4.72 Eq
% 4.51/4.72 (Not
% 4.51/4.72 (in (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a) →
% 4.51/4.72 in (skS.0 4 a a_1 a_2 a_3 a_4) (binunion (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) →
% 4.51/4.72 (in (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 1 a a_1) → skS.0 3 a a_1 a_2 a_3) →
% 4.51/4.72 (in (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 2 a a_1 a_2) → skS.0 3 a a_1 a_2 a_3) → skS.0 3 a a_1 a_2 a_3))
% 4.51/4.72 True
% 4.51/4.72 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop) (a_4 : Iota),
% 4.51/4.72 Eq
% 4.51/4.72 (in (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 0 a) →
% 4.51/4.72 in (skS.0 4 a a_1 a_2 a_3 a_4) (binunion (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) →
% 4.51/4.72 (in (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 1 a a_1) → skS.0 3 a a_1 a_2 a_3) →
% 4.51/4.72 (in (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 2 a a_1 a_2) → skS.0 3 a a_1 a_2 a_3) → skS.0 3 a a_1 a_2 a_3)
% 4.51/4.72 False
% 4.51/4.72 Clause #20 (by clausification #[18]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop) (a_4 : Iota),
% 4.51/4.72 Eq
% 4.51/4.72 (in (skS.0 4 a a_1 a_2 a_3 a_4) (binunion (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) →
% 4.51/4.72 (in (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 1 a a_1) → skS.0 3 a a_1 a_2 a_3) →
% 4.51/4.72 (in (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 2 a a_1 a_2) → skS.0 3 a a_1 a_2 a_3) → skS.0 3 a a_1 a_2 a_3)
% 4.51/4.72 False
% 4.51/4.72 Clause #25 (by clausification #[0]): Eq binunionE (∀ (A B Xx : Iota), in Xx (binunion A B) → Or (in Xx A) (in Xx B))
% 4.51/4.72 Clause #26 (by forward demodulation #[25, 3]): Eq True (∀ (A B Xx : Iota), in Xx (binunion A B) → Or (in Xx A) (in Xx B))
% 4.51/4.72 Clause #27 (by clausification #[26]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), in Xx (binunion a B) → Or (in Xx a) (in Xx B)) True
% 4.51/4.72 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota), Eq (∀ (Xx : Iota), in Xx (binunion a a_1) → Or (in Xx a) (in Xx a_1)) True
% 4.51/4.72 Clause #29 (by clausification #[28]): ∀ (a a_1 a_2 : Iota), Eq (in a (binunion a_1 a_2) → Or (in a a_1) (in a a_2)) True
% 4.51/4.72 Clause #30 (by clausification #[29]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (binunion a_1 a_2)) False) (Eq (Or (in a a_1) (in a a_2)) True)
% 4.51/4.72 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (binunion a_1 a_2)) False) (Or (Eq (in a a_1) True) (Eq (in a a_2) True))
% 4.51/4.72 Clause #32 (by clausification #[20]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop) (a_4 : Iota),
% 4.51/4.72 Eq (in (skS.0 4 a a_1 a_2 a_3 a_4) (binunion (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) True
% 4.51/4.72 Clause #33 (by clausification #[20]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop) (a_4 : Iota),
% 4.51/4.72 Eq
% 4.51/4.72 ((in (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 1 a a_1) → skS.0 3 a a_1 a_2 a_3) →
% 4.51/4.72 (in (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 2 a a_1 a_2) → skS.0 3 a a_1 a_2 a_3) → skS.0 3 a a_1 a_2 a_3)
% 4.51/4.72 False
% 4.51/4.72 Clause #34 (by identity loobHoist #[32]): ∀ (a a_1 a_2 a_3 : Iota) (a_4 : Prop),
% 4.51/4.72 Or (Eq (in (skS.0 4 a a_1 a_2 True a_3) (binunion (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) True) (Eq a_4 False)
% 4.51/4.72 Clause #37 (by falseElim #[34]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 4 a a_1 a_2 True a_3) (binunion (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) True
% 4.51/4.72 Clause #38 (by clausification #[33]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop) (a_4 : Iota),
% 4.51/4.72 Eq (in (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 1 a a_1) → skS.0 3 a a_1 a_2 a_3) True
% 4.51/4.72 Clause #39 (by clausification #[33]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop) (a_4 : Iota),
% 4.51/4.72 Eq ((in (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 2 a a_1 a_2) → skS.0 3 a a_1 a_2 a_3) → skS.0 3 a a_1 a_2 a_3) False
% 4.51/4.72 Clause #40 (by clausification #[38]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop) (a_4 : Iota),
% 4.59/4.75 Or (Eq (in (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 1 a a_1)) False) (Eq (skS.0 3 a a_1 a_2 a_3) True)
% 4.59/4.75 Clause #41 (by identity loobHoist #[40]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop) (a_4 : Iota),
% 4.59/4.75 Or (Eq (skS.0 3 a a_1 a_2 a_3) True) (Or (Eq (in (skS.0 4 a a_1 a_2 True a_4) (skS.0 1 a a_1)) False) (Eq a_3 False))
% 4.59/4.75 Clause #43 (by identity loobHoist #[41]): ∀ (a a_1 a_2 a_3 : Iota) (a_4 : Prop),
% 4.59/4.75 Or (Eq (in (skS.0 4 a a_1 a_2 True a_3) (skS.0 1 a a_1)) False)
% 4.59/4.75 (Or (Eq a_4 False) (Or (Eq (skS.0 3 a a_1 a_2 True) True) (Eq a_4 False)))
% 4.59/4.75 Clause #45 (by eliminate duplicate literals #[43]): ∀ (a a_1 a_2 a_3 : Iota) (a_4 : Prop),
% 4.59/4.75 Or (Eq (in (skS.0 4 a a_1 a_2 True a_3) (skS.0 1 a a_1)) False) (Or (Eq a_4 False) (Eq (skS.0 3 a a_1 a_2 True) True))
% 4.59/4.75 Clause #46 (by clausification #[39]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop) (a_4 : Iota),
% 4.59/4.75 Eq (in (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 2 a a_1 a_2) → skS.0 3 a a_1 a_2 a_3) True
% 4.59/4.75 Clause #47 (by clausification #[39]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop), Eq (skS.0 3 a a_1 a_2 a_3) False
% 4.59/4.75 Clause #48 (by clausification #[46]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop) (a_4 : Iota),
% 4.59/4.75 Or (Eq (in (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 2 a a_1 a_2)) False) (Eq (skS.0 3 a a_1 a_2 a_3) True)
% 4.59/4.75 Clause #49 (by identity loobHoist #[48]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop) (a_4 : Iota),
% 4.59/4.75 Or (Eq (skS.0 3 a a_1 a_2 a_3) True)
% 4.59/4.75 (Or (Eq (in (skS.0 4 a a_1 a_2 True a_4) (skS.0 2 a a_1 a_2)) False) (Eq a_3 False))
% 4.59/4.75 Clause #51 (by identity loobHoist #[49]): ∀ (a a_1 a_2 a_3 : Iota) (a_4 : Prop),
% 4.59/4.75 Or (Eq (in (skS.0 4 a a_1 a_2 True a_3) (skS.0 2 a a_1 a_2)) False)
% 4.59/4.75 (Or (Eq a_4 False) (Or (Eq (skS.0 3 a a_1 a_2 True) True) (Eq a_4 False)))
% 4.59/4.75 Clause #53 (by eliminate duplicate literals #[51]): ∀ (a a_1 a_2 a_3 : Iota) (a_4 : Prop),
% 4.59/4.75 Or (Eq (in (skS.0 4 a a_1 a_2 True a_3) (skS.0 2 a a_1 a_2)) False)
% 4.59/4.75 (Or (Eq a_4 False) (Eq (skS.0 3 a a_1 a_2 True) True))
% 4.59/4.75 Clause #54 (by identity loobHoist #[47]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop), Or (Eq (skS.0 3 a a_1 a_2 True) False) (Eq a_3 False)
% 4.59/4.75 Clause #62 (by superposition #[37, 31]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.59/4.75 Or (Eq True False)
% 4.59/4.75 (Or (Eq (in (skS.0 4 a a_1 a_2 True a_3) (skS.0 1 a a_1)) True)
% 4.59/4.75 (Eq (in (skS.0 4 a a_1 a_2 True a_3) (skS.0 2 a a_1 a_2)) True))
% 4.59/4.75 Clause #81 (by clausification #[62]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.59/4.75 Or (Eq (in (skS.0 4 a a_1 a_2 True a_3) (skS.0 1 a a_1)) True)
% 4.59/4.75 (Eq (in (skS.0 4 a a_1 a_2 True a_3) (skS.0 2 a a_1 a_2)) True)
% 4.59/4.75 Clause #82 (by superposition #[81, 53]): ∀ (a a_1 a_2 a_3 : Iota) (a_4 : Prop),
% 4.59/4.75 Or (Eq (in (skS.0 4 a a_1 a_2 True a_3) (skS.0 1 a a_1)) True)
% 4.59/4.75 (Or (Eq True False) (Or (Eq a_4 False) (Eq (skS.0 3 a a_1 a_2 True) True)))
% 4.59/4.75 Clause #83 (by clausification #[82]): ∀ (a a_1 a_2 a_3 : Iota) (a_4 : Prop),
% 4.59/4.75 Or (Eq (in (skS.0 4 a a_1 a_2 True a_3) (skS.0 1 a a_1)) True) (Or (Eq a_4 False) (Eq (skS.0 3 a a_1 a_2 True) True))
% 4.59/4.75 Clause #86 (by falseElim #[83]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.59/4.75 Or (Eq (in (skS.0 4 a a_1 a_2 True a_3) (skS.0 1 a a_1)) True) (Eq (skS.0 3 a a_1 a_2 True) True)
% 4.59/4.75 Clause #87 (by superposition #[86, 45]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop),
% 4.59/4.75 Or (Eq (skS.0 3 a a_1 a_2 True) True) (Or (Eq True False) (Or (Eq a_3 False) (Eq (skS.0 3 a a_1 a_2 True) True)))
% 4.59/4.75 Clause #88 (by clausification #[87]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop),
% 4.59/4.75 Or (Eq (skS.0 3 a a_1 a_2 True) True) (Or (Eq a_3 False) (Eq (skS.0 3 a a_1 a_2 True) True))
% 4.59/4.75 Clause #89 (by eliminate duplicate literals #[88]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop), Or (Eq (skS.0 3 a a_1 a_2 True) True) (Eq a_3 False)
% 4.59/4.75 Clause #93 (by falseElim #[89]): ∀ (a a_1 a_2 : Iota), Eq (skS.0 3 a a_1 a_2 True) True
% 4.59/4.75 Clause #95 (by superposition #[93, 54]): ∀ (a : Prop), Or (Eq True False) (Eq a False)
% 4.59/4.75 Clause #96 (by clausification #[95]): ∀ (a : Prop), Eq a False
% 4.59/4.75 Clause #99 (by falseElim #[96]): False
% 4.59/4.75 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------