TSTP Solution File: KRS082+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KRS082+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n007.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 05:43:16 EDT 2023
% Result : Unsatisfiable 4.13s 4.37s
% Output : Proof 4.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS082+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13 % Command : duper %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 02:07:28 EDT 2023
% 0.14/0.35 % CPUTime :
% 4.13/4.37 SZS status Theorem for theBenchmark.p
% 4.13/4.37 SZS output start Proof for theBenchmark.p
% 4.13/4.37 Clause #2 (by assumption #[]): Eq
% 4.13/4.37 (∀ (X : Iota),
% 4.13/4.37 cUnsatisfiable X →
% 4.13/4.37 Exists fun Y =>
% 4.13/4.37 And
% 4.13/4.37 (And
% 4.13/4.37 (And
% 4.13/4.37 (And (And (And (rs X Y) (Exists fun Z => And (rp Y Z) (cowlThing Z))) (∀ (Z : Iota), rr Y Z → cc Z))
% 4.13/4.37 (∀ (Z : Iota), rp Y Z → Exists fun W => And (rr Z W) (cowlThing W)))
% 4.13/4.37 (∀ (Z : Iota), rp Y Z → Exists fun W => And (rp Z W) (cowlThing W)))
% 4.13/4.37 (∀ (Z : Iota), rp Y Z → ∀ (W : Iota), rr Z W → cc W))
% 4.13/4.37 (Exists fun Z => And (rr Y Z) (cowlThing Z)))
% 4.13/4.37 True
% 4.13/4.37 Clause #3 (by assumption #[]): Eq (∀ (X : Iota), cUnsatisfiable X → ca X) True
% 4.13/4.37 Clause #4 (by assumption #[]): Eq (∀ (X : Iota), Iff (cc X) (∀ (Y : Iota), rinvR X Y → ∀ (Z : Iota), rinvP Y Z → ∀ (W : Iota), rinvS Z W → Not (ca W)))
% 4.13/4.37 True
% 4.13/4.37 Clause #5 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (rinvP X Y) (rp Y X)) True
% 4.13/4.37 Clause #6 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (rinvR X Y) (rr Y X)) True
% 4.13/4.37 Clause #7 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (rinvS X Y) (rs Y X)) True
% 4.13/4.37 Clause #9 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_19_28752) True
% 4.13/4.37 Clause #10 (by clausification #[3]): ∀ (a : Iota), Eq (cUnsatisfiable a → ca a) True
% 4.13/4.37 Clause #11 (by clausification #[10]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (ca a) True)
% 4.13/4.37 Clause #12 (by superposition #[11, 9]): Or (Eq (ca i2003_11_14_17_19_28752) True) (Eq False True)
% 4.13/4.37 Clause #13 (by clausification #[12]): Eq (ca i2003_11_14_17_19_28752) True
% 4.13/4.37 Clause #28 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (rinvS a Y) (rs Y a)) True
% 4.13/4.37 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), Eq (Iff (rinvS a a_1) (rs a_1 a)) True
% 4.13/4.37 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota), Or (Eq (rinvS a a_1) True) (Eq (rs a_1 a) False)
% 4.13/4.37 Clause #32 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (rinvP a Y) (rp Y a)) True
% 4.13/4.37 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota), Eq (Iff (rinvP a a_1) (rp a_1 a)) True
% 4.13/4.37 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota), Or (Eq (rinvP a a_1) True) (Eq (rp a_1 a) False)
% 4.13/4.37 Clause #36 (by clausification #[2]): ∀ (a : Iota),
% 4.13/4.37 Eq
% 4.13/4.37 (cUnsatisfiable a →
% 4.13/4.37 Exists fun Y =>
% 4.13/4.37 And
% 4.13/4.37 (And
% 4.13/4.37 (And
% 4.13/4.37 (And (And (And (rs a Y) (Exists fun Z => And (rp Y Z) (cowlThing Z))) (∀ (Z : Iota), rr Y Z → cc Z))
% 4.13/4.37 (∀ (Z : Iota), rp Y Z → Exists fun W => And (rr Z W) (cowlThing W)))
% 4.13/4.37 (∀ (Z : Iota), rp Y Z → Exists fun W => And (rp Z W) (cowlThing W)))
% 4.13/4.37 (∀ (Z : Iota), rp Y Z → ∀ (W : Iota), rr Z W → cc W))
% 4.13/4.37 (Exists fun Z => And (rr Y Z) (cowlThing Z)))
% 4.13/4.37 True
% 4.13/4.37 Clause #37 (by clausification #[36]): ∀ (a : Iota),
% 4.13/4.37 Or (Eq (cUnsatisfiable a) False)
% 4.13/4.37 (Eq
% 4.13/4.37 (Exists fun Y =>
% 4.13/4.37 And
% 4.13/4.37 (And
% 4.13/4.37 (And
% 4.13/4.37 (And (And (And (rs a Y) (Exists fun Z => And (rp Y Z) (cowlThing Z))) (∀ (Z : Iota), rr Y Z → cc Z))
% 4.13/4.37 (∀ (Z : Iota), rp Y Z → Exists fun W => And (rr Z W) (cowlThing W)))
% 4.13/4.37 (∀ (Z : Iota), rp Y Z → Exists fun W => And (rp Z W) (cowlThing W)))
% 4.13/4.37 (∀ (Z : Iota), rp Y Z → ∀ (W : Iota), rr Z W → cc W))
% 4.13/4.37 (Exists fun Z => And (rr Y Z) (cowlThing Z)))
% 4.13/4.37 True)
% 4.13/4.37 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota),
% 4.13/4.37 Or (Eq (cUnsatisfiable a) False)
% 4.13/4.37 (Eq
% 4.13/4.37 (And
% 4.13/4.37 (And
% 4.13/4.37 (And
% 4.13/4.37 (And
% 4.13/4.37 (And (And (rs a (skS.0 0 a a_1)) (Exists fun Z => And (rp (skS.0 0 a a_1) Z) (cowlThing Z)))
% 4.13/4.37 (∀ (Z : Iota), rr (skS.0 0 a a_1) Z → cc Z))
% 4.13/4.37 (∀ (Z : Iota), rp (skS.0 0 a a_1) Z → Exists fun W => And (rr Z W) (cowlThing W)))
% 4.13/4.37 (∀ (Z : Iota), rp (skS.0 0 a a_1) Z → Exists fun W => And (rp Z W) (cowlThing W)))
% 4.13/4.37 (∀ (Z : Iota), rp (skS.0 0 a a_1) Z → ∀ (W : Iota), rr Z W → cc W))
% 4.13/4.37 (Exists fun Z => And (rr (skS.0 0 a a_1) Z) (cowlThing Z)))
% 4.13/4.37 True)
% 4.23/4.40 Clause #40 (by clausification #[38]): ∀ (a a_1 : Iota),
% 4.23/4.40 Or (Eq (cUnsatisfiable a) False)
% 4.23/4.40 (Eq
% 4.23/4.40 (And
% 4.23/4.40 (And
% 4.23/4.40 (And
% 4.23/4.40 (And (And (rs a (skS.0 0 a a_1)) (Exists fun Z => And (rp (skS.0 0 a a_1) Z) (cowlThing Z)))
% 4.23/4.40 (∀ (Z : Iota), rr (skS.0 0 a a_1) Z → cc Z))
% 4.23/4.40 (∀ (Z : Iota), rp (skS.0 0 a a_1) Z → Exists fun W => And (rr Z W) (cowlThing W)))
% 4.23/4.40 (∀ (Z : Iota), rp (skS.0 0 a a_1) Z → Exists fun W => And (rp Z W) (cowlThing W)))
% 4.23/4.40 (∀ (Z : Iota), rp (skS.0 0 a a_1) Z → ∀ (W : Iota), rr Z W → cc W))
% 4.23/4.40 True)
% 4.23/4.40 Clause #44 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (rinvR a Y) (rr Y a)) True
% 4.23/4.40 Clause #45 (by clausification #[44]): ∀ (a a_1 : Iota), Eq (Iff (rinvR a a_1) (rr a_1 a)) True
% 4.23/4.40 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota), Or (Eq (rinvR a a_1) True) (Eq (rr a_1 a) False)
% 4.23/4.40 Clause #48 (by clausification #[4]): ∀ (a : Iota),
% 4.23/4.40 Eq (Iff (cc a) (∀ (Y : Iota), rinvR a Y → ∀ (Z : Iota), rinvP Y Z → ∀ (W : Iota), rinvS Z W → Not (ca W))) True
% 4.23/4.40 Clause #50 (by clausification #[48]): ∀ (a : Iota),
% 4.23/4.40 Or (Eq (cc a) False)
% 4.23/4.40 (Eq (∀ (Y : Iota), rinvR a Y → ∀ (Z : Iota), rinvP Y Z → ∀ (W : Iota), rinvS Z W → Not (ca W)) True)
% 4.23/4.40 Clause #61 (by clausification #[40]): ∀ (a a_1 : Iota),
% 4.23/4.40 Or (Eq (cUnsatisfiable a) False) (Eq (∀ (Z : Iota), rp (skS.0 0 a a_1) Z → ∀ (W : Iota), rr Z W → cc W) True)
% 4.23/4.40 Clause #62 (by clausification #[40]): ∀ (a a_1 : Iota),
% 4.23/4.40 Or (Eq (cUnsatisfiable a) False)
% 4.23/4.40 (Eq
% 4.23/4.40 (And
% 4.23/4.40 (And
% 4.23/4.40 (And (And (rs a (skS.0 0 a a_1)) (Exists fun Z => And (rp (skS.0 0 a a_1) Z) (cowlThing Z)))
% 4.23/4.40 (∀ (Z : Iota), rr (skS.0 0 a a_1) Z → cc Z))
% 4.23/4.40 (∀ (Z : Iota), rp (skS.0 0 a a_1) Z → Exists fun W => And (rr Z W) (cowlThing W)))
% 4.23/4.40 (∀ (Z : Iota), rp (skS.0 0 a a_1) Z → Exists fun W => And (rp Z W) (cowlThing W)))
% 4.23/4.40 True)
% 4.23/4.40 Clause #63 (by clausification #[61]): ∀ (a a_1 a_2 : Iota),
% 4.23/4.40 Or (Eq (cUnsatisfiable a) False) (Eq (rp (skS.0 0 a a_1) a_2 → ∀ (W : Iota), rr a_2 W → cc W) True)
% 4.23/4.40 Clause #64 (by clausification #[63]): ∀ (a a_1 a_2 : Iota),
% 4.23/4.40 Or (Eq (cUnsatisfiable a) False) (Or (Eq (rp (skS.0 0 a a_1) a_2) False) (Eq (∀ (W : Iota), rr a_2 W → cc W) True))
% 4.23/4.40 Clause #65 (by clausification #[64]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.23/4.40 Or (Eq (cUnsatisfiable a) False) (Or (Eq (rp (skS.0 0 a a_1) a_2) False) (Eq (rr a_2 a_3 → cc a_3) True))
% 4.23/4.40 Clause #66 (by clausification #[65]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.23/4.40 Or (Eq (cUnsatisfiable a) False)
% 4.23/4.40 (Or (Eq (rp (skS.0 0 a a_1) a_2) False) (Or (Eq (rr a_2 a_3) False) (Eq (cc a_3) True)))
% 4.23/4.40 Clause #67 (by superposition #[66, 9]): ∀ (a a_1 a_2 : Iota),
% 4.23/4.40 Or (Eq (rp (skS.0 0 i2003_11_14_17_19_28752 a) a_1) False)
% 4.23/4.40 (Or (Eq (rr a_1 a_2) False) (Or (Eq (cc a_2) True) (Eq False True)))
% 4.23/4.40 Clause #73 (by clausification #[50]): ∀ (a a_1 : Iota),
% 4.23/4.40 Or (Eq (cc a) False) (Eq (rinvR a a_1 → ∀ (Z : Iota), rinvP a_1 Z → ∀ (W : Iota), rinvS Z W → Not (ca W)) True)
% 4.23/4.40 Clause #74 (by clausification #[73]): ∀ (a a_1 : Iota),
% 4.23/4.40 Or (Eq (cc a) False)
% 4.23/4.40 (Or (Eq (rinvR a a_1) False) (Eq (∀ (Z : Iota), rinvP a_1 Z → ∀ (W : Iota), rinvS Z W → Not (ca W)) True))
% 4.23/4.40 Clause #75 (by clausification #[74]): ∀ (a a_1 a_2 : Iota),
% 4.23/4.40 Or (Eq (cc a) False) (Or (Eq (rinvR a a_1) False) (Eq (rinvP a_1 a_2 → ∀ (W : Iota), rinvS a_2 W → Not (ca W)) True))
% 4.23/4.40 Clause #76 (by clausification #[75]): ∀ (a a_1 a_2 : Iota),
% 4.23/4.40 Or (Eq (cc a) False)
% 4.23/4.40 (Or (Eq (rinvR a a_1) False) (Or (Eq (rinvP a_1 a_2) False) (Eq (∀ (W : Iota), rinvS a_2 W → Not (ca W)) True)))
% 4.23/4.40 Clause #77 (by clausification #[76]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.23/4.40 Or (Eq (cc a) False)
% 4.23/4.40 (Or (Eq (rinvR a a_1) False) (Or (Eq (rinvP a_1 a_2) False) (Eq (rinvS a_2 a_3 → Not (ca a_3)) True)))
% 4.23/4.40 Clause #78 (by clausification #[77]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.23/4.40 Or (Eq (cc a) False)
% 4.23/4.40 (Or (Eq (rinvR a a_1) False)
% 4.23/4.40 (Or (Eq (rinvP a_1 a_2) False) (Or (Eq (rinvS a_2 a_3) False) (Eq (Not (ca a_3)) True))))
% 4.23/4.40 Clause #79 (by clausification #[78]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.23/4.43 Or (Eq (cc a) False)
% 4.23/4.43 (Or (Eq (rinvR a a_1) False) (Or (Eq (rinvP a_1 a_2) False) (Or (Eq (rinvS a_2 a_3) False) (Eq (ca a_3) False))))
% 4.23/4.43 Clause #84 (by clausification #[67]): ∀ (a a_1 a_2 : Iota),
% 4.23/4.43 Or (Eq (rp (skS.0 0 i2003_11_14_17_19_28752 a) a_1) False) (Or (Eq (rr a_1 a_2) False) (Eq (cc a_2) True))
% 4.23/4.43 Clause #93 (by clausification #[62]): ∀ (a a_1 : Iota),
% 4.23/4.43 Or (Eq (cUnsatisfiable a) False)
% 4.23/4.43 (Eq
% 4.23/4.43 (And
% 4.23/4.43 (And (And (rs a (skS.0 0 a a_1)) (Exists fun Z => And (rp (skS.0 0 a a_1) Z) (cowlThing Z)))
% 4.23/4.43 (∀ (Z : Iota), rr (skS.0 0 a a_1) Z → cc Z))
% 4.23/4.43 (∀ (Z : Iota), rp (skS.0 0 a a_1) Z → Exists fun W => And (rr Z W) (cowlThing W)))
% 4.23/4.43 True)
% 4.23/4.43 Clause #104 (by clausification #[93]): ∀ (a a_1 : Iota),
% 4.23/4.43 Or (Eq (cUnsatisfiable a) False)
% 4.23/4.43 (Eq (∀ (Z : Iota), rp (skS.0 0 a a_1) Z → Exists fun W => And (rr Z W) (cowlThing W)) True)
% 4.23/4.43 Clause #105 (by clausification #[93]): ∀ (a a_1 : Iota),
% 4.23/4.43 Or (Eq (cUnsatisfiable a) False)
% 4.23/4.43 (Eq
% 4.23/4.43 (And (And (rs a (skS.0 0 a a_1)) (Exists fun Z => And (rp (skS.0 0 a a_1) Z) (cowlThing Z)))
% 4.23/4.43 (∀ (Z : Iota), rr (skS.0 0 a a_1) Z → cc Z))
% 4.23/4.43 True)
% 4.23/4.43 Clause #106 (by clausification #[104]): ∀ (a a_1 a_2 : Iota),
% 4.23/4.43 Or (Eq (cUnsatisfiable a) False) (Eq (rp (skS.0 0 a a_1) a_2 → Exists fun W => And (rr a_2 W) (cowlThing W)) True)
% 4.23/4.43 Clause #107 (by clausification #[106]): ∀ (a a_1 a_2 : Iota),
% 4.23/4.43 Or (Eq (cUnsatisfiable a) False)
% 4.23/4.43 (Or (Eq (rp (skS.0 0 a a_1) a_2) False) (Eq (Exists fun W => And (rr a_2 W) (cowlThing W)) True))
% 4.23/4.43 Clause #108 (by clausification #[107]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.23/4.43 Or (Eq (cUnsatisfiable a) False)
% 4.23/4.43 (Or (Eq (rp (skS.0 0 a a_1) a_2) False) (Eq (And (rr a_2 (skS.0 6 a_2 a_3)) (cowlThing (skS.0 6 a_2 a_3))) True))
% 4.23/4.43 Clause #110 (by clausification #[108]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.23/4.43 Or (Eq (cUnsatisfiable a) False) (Or (Eq (rp (skS.0 0 a a_1) a_2) False) (Eq (rr a_2 (skS.0 6 a_2 a_3)) True))
% 4.23/4.43 Clause #111 (by superposition #[110, 9]): ∀ (a a_1 a_2 : Iota),
% 4.23/4.43 Or (Eq (rp (skS.0 0 i2003_11_14_17_19_28752 a) a_1) False) (Or (Eq (rr a_1 (skS.0 6 a_1 a_2)) True) (Eq False True))
% 4.23/4.43 Clause #112 (by clausification #[111]): ∀ (a a_1 a_2 : Iota), Or (Eq (rp (skS.0 0 i2003_11_14_17_19_28752 a) a_1) False) (Eq (rr a_1 (skS.0 6 a_1 a_2)) True)
% 4.23/4.43 Clause #114 (by clausification #[105]): ∀ (a a_1 : Iota),
% 4.23/4.43 Or (Eq (cUnsatisfiable a) False)
% 4.23/4.43 (Eq (And (rs a (skS.0 0 a a_1)) (Exists fun Z => And (rp (skS.0 0 a a_1) Z) (cowlThing Z))) True)
% 4.23/4.43 Clause #120 (by clausification #[114]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Exists fun Z => And (rp (skS.0 0 a a_1) Z) (cowlThing Z)) True)
% 4.23/4.43 Clause #121 (by clausification #[114]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rs a (skS.0 0 a a_1)) True)
% 4.23/4.43 Clause #122 (by clausification #[120]): ∀ (a a_1 a_2 : Iota),
% 4.23/4.43 Or (Eq (cUnsatisfiable a) False)
% 4.23/4.43 (Eq (And (rp (skS.0 0 a a_1) (skS.0 7 a a_1 a_2)) (cowlThing (skS.0 7 a a_1 a_2))) True)
% 4.23/4.43 Clause #124 (by clausification #[122]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rp (skS.0 0 a a_1) (skS.0 7 a a_1 a_2)) True)
% 4.23/4.43 Clause #125 (by superposition #[121, 9]): ∀ (a : Iota), Or (Eq (rs i2003_11_14_17_19_28752 (skS.0 0 i2003_11_14_17_19_28752 a)) True) (Eq False True)
% 4.23/4.43 Clause #126 (by clausification #[125]): ∀ (a : Iota), Eq (rs i2003_11_14_17_19_28752 (skS.0 0 i2003_11_14_17_19_28752 a)) True
% 4.23/4.43 Clause #127 (by superposition #[126, 30]): ∀ (a : Iota), Or (Eq (rinvS (skS.0 0 i2003_11_14_17_19_28752 a) i2003_11_14_17_19_28752) True) (Eq True False)
% 4.23/4.43 Clause #128 (by clausification #[127]): ∀ (a : Iota), Eq (rinvS (skS.0 0 i2003_11_14_17_19_28752 a) i2003_11_14_17_19_28752) True
% 4.23/4.43 Clause #132 (by superposition #[124, 9]): ∀ (a a_1 : Iota),
% 4.23/4.43 Or (Eq (rp (skS.0 0 i2003_11_14_17_19_28752 a) (skS.0 7 i2003_11_14_17_19_28752 a a_1)) True) (Eq False True)
% 4.23/4.43 Clause #133 (by clausification #[132]): ∀ (a a_1 : Iota), Eq (rp (skS.0 0 i2003_11_14_17_19_28752 a) (skS.0 7 i2003_11_14_17_19_28752 a a_1)) True
% 4.23/4.43 Clause #134 (by superposition #[133, 84]): ∀ (a a_1 a_2 : Iota),
% 4.23/4.45 Or (Eq True False) (Or (Eq (rr (skS.0 7 i2003_11_14_17_19_28752 a a_1) a_2) False) (Eq (cc a_2) True))
% 4.23/4.45 Clause #136 (by superposition #[133, 112]): ∀ (a a_1 a_2 : Iota),
% 4.23/4.45 Or (Eq True False)
% 4.23/4.45 (Eq (rr (skS.0 7 i2003_11_14_17_19_28752 a a_1) (skS.0 6 (skS.0 7 i2003_11_14_17_19_28752 a a_1) a_2)) True)
% 4.23/4.45 Clause #138 (by superposition #[133, 34]): ∀ (a a_1 : Iota),
% 4.23/4.45 Or (Eq (rinvP (skS.0 7 i2003_11_14_17_19_28752 a a_1) (skS.0 0 i2003_11_14_17_19_28752 a)) True) (Eq True False)
% 4.23/4.45 Clause #139 (by clausification #[134]): ∀ (a a_1 a_2 : Iota), Or (Eq (rr (skS.0 7 i2003_11_14_17_19_28752 a a_1) a_2) False) (Eq (cc a_2) True)
% 4.23/4.45 Clause #140 (by clausification #[138]): ∀ (a a_1 : Iota), Eq (rinvP (skS.0 7 i2003_11_14_17_19_28752 a a_1) (skS.0 0 i2003_11_14_17_19_28752 a)) True
% 4.23/4.45 Clause #160 (by clausification #[136]): ∀ (a a_1 a_2 : Iota),
% 4.23/4.45 Eq (rr (skS.0 7 i2003_11_14_17_19_28752 a a_1) (skS.0 6 (skS.0 7 i2003_11_14_17_19_28752 a a_1) a_2)) True
% 4.23/4.45 Clause #161 (by superposition #[160, 139]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cc (skS.0 6 (skS.0 7 i2003_11_14_17_19_28752 a a_1) a_2)) True)
% 4.23/4.45 Clause #162 (by superposition #[160, 46]): ∀ (a a_1 a_2 : Iota),
% 4.23/4.45 Or (Eq (rinvR (skS.0 6 (skS.0 7 i2003_11_14_17_19_28752 a a_1) a_2) (skS.0 7 i2003_11_14_17_19_28752 a a_1)) True)
% 4.23/4.45 (Eq True False)
% 4.23/4.45 Clause #163 (by clausification #[161]): ∀ (a a_1 a_2 : Iota), Eq (cc (skS.0 6 (skS.0 7 i2003_11_14_17_19_28752 a a_1) a_2)) True
% 4.23/4.45 Clause #164 (by superposition #[163, 79]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 4.23/4.45 Or (Eq True False)
% 4.23/4.45 (Or (Eq (rinvR (skS.0 6 (skS.0 7 i2003_11_14_17_19_28752 a a_1) a_2) a_3) False)
% 4.23/4.45 (Or (Eq (rinvP a_3 a_4) False) (Or (Eq (rinvS a_4 a_5) False) (Eq (ca a_5) False))))
% 4.23/4.45 Clause #166 (by clausification #[162]): ∀ (a a_1 a_2 : Iota),
% 4.23/4.45 Eq (rinvR (skS.0 6 (skS.0 7 i2003_11_14_17_19_28752 a a_1) a_2) (skS.0 7 i2003_11_14_17_19_28752 a a_1)) True
% 4.23/4.45 Clause #167 (by clausification #[164]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 4.23/4.45 Or (Eq (rinvR (skS.0 6 (skS.0 7 i2003_11_14_17_19_28752 a a_1) a_2) a_3) False)
% 4.23/4.45 (Or (Eq (rinvP a_3 a_4) False) (Or (Eq (rinvS a_4 a_5) False) (Eq (ca a_5) False)))
% 4.23/4.45 Clause #168 (by superposition #[167, 166]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.23/4.45 Or (Eq (rinvP (skS.0 7 i2003_11_14_17_19_28752 a a_1) a_2) False)
% 4.23/4.45 (Or (Eq (rinvS a_2 a_3) False) (Or (Eq (ca a_3) False) (Eq False True)))
% 4.23/4.45 Clause #172 (by clausification #[168]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.23/4.45 Or (Eq (rinvP (skS.0 7 i2003_11_14_17_19_28752 a a_1) a_2) False) (Or (Eq (rinvS a_2 a_3) False) (Eq (ca a_3) False))
% 4.23/4.45 Clause #173 (by superposition #[172, 140]): ∀ (a a_1 : Iota), Or (Eq (rinvS (skS.0 0 i2003_11_14_17_19_28752 a) a_1) False) (Or (Eq (ca a_1) False) (Eq False True))
% 4.23/4.45 Clause #174 (by clausification #[173]): ∀ (a a_1 : Iota), Or (Eq (rinvS (skS.0 0 i2003_11_14_17_19_28752 a) a_1) False) (Eq (ca a_1) False)
% 4.23/4.45 Clause #175 (by superposition #[174, 128]): Or (Eq (ca i2003_11_14_17_19_28752) False) (Eq False True)
% 4.23/4.45 Clause #176 (by clausification #[175]): Eq (ca i2003_11_14_17_19_28752) False
% 4.23/4.45 Clause #177 (by superposition #[176, 13]): Eq False True
% 4.23/4.45 Clause #178 (by clausification #[177]): False
% 4.23/4.45 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------