TSTP Solution File: SEV019^5 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEV019^5 : TPTP v8.1.2. Released v4.0.0.
% 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 19:24:03 EDT 2023
% Result : Theorem 15.34s 15.55s
% Output : Proof 15.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SEV019^5 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.16 % Command : duper %s
% 0.16/0.37 % Computer : n007.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 24 03:17:24 EDT 2023
% 0.16/0.38 % CPUTime :
% 15.34/15.55 SZS status Theorem for theBenchmark.p
% 15.34/15.55 SZS output start Proof for theBenchmark.p
% 15.34/15.55 Clause #0 (by assumption #[]): Eq
% 15.34/15.55 (Not
% 15.34/15.55 ((∀ (Xx : a),
% 15.34/15.55 Exists fun Xp =>
% 15.34/15.55 And (And (Exists fun Xz => Xp Xz) (∀ (Xx0 : a), Xp Xx0 → ∀ (Xy : a), Iff (Xp Xy) (cQ Xx0 Xy))) (Xp Xx)) →
% 15.34/15.55 And (And (∀ (Xx : a), cQ Xx Xx) (∀ (Xx Xy : a), cQ Xx Xy → cQ Xy Xx))
% 15.34/15.55 (∀ (Xx Xy Xz : a), And (cQ Xx Xy) (cQ Xy Xz) → cQ Xx Xz)))
% 15.34/15.55 True
% 15.34/15.55 Clause #1 (by betaEtaReduce #[0]): Eq
% 15.34/15.55 (Not
% 15.34/15.55 ((∀ (Xx : a),
% 15.34/15.55 Exists fun Xp => And (And (Exists Xp) (∀ (Xx0 : a), Xp Xx0 → ∀ (Xy : a), Iff (Xp Xy) (cQ Xx0 Xy))) (Xp Xx)) →
% 15.34/15.55 And (And (∀ (Xx : a), cQ Xx Xx) (∀ (Xx Xy : a), cQ Xx Xy → cQ Xy Xx))
% 15.34/15.55 (∀ (Xx Xy Xz : a), And (cQ Xx Xy) (cQ Xy Xz) → cQ Xx Xz)))
% 15.34/15.55 True
% 15.34/15.55 Clause #2 (by clausification #[1]): Eq
% 15.34/15.55 ((∀ (Xx : a),
% 15.34/15.55 Exists fun Xp => And (And (Exists Xp) (∀ (Xx0 : a), Xp Xx0 → ∀ (Xy : a), Iff (Xp Xy) (cQ Xx0 Xy))) (Xp Xx)) →
% 15.34/15.55 And (And (∀ (Xx : a), cQ Xx Xx) (∀ (Xx Xy : a), cQ Xx Xy → cQ Xy Xx))
% 15.34/15.55 (∀ (Xx Xy Xz : a), And (cQ Xx Xy) (cQ Xy Xz) → cQ Xx Xz))
% 15.34/15.55 False
% 15.34/15.55 Clause #3 (by clausification #[2]): Eq
% 15.34/15.55 (∀ (Xx : a),
% 15.34/15.55 Exists fun Xp => And (And (Exists Xp) (∀ (Xx0 : a), Xp Xx0 → ∀ (Xy : a), Iff (Xp Xy) (cQ Xx0 Xy))) (Xp Xx))
% 15.34/15.55 True
% 15.34/15.55 Clause #4 (by clausification #[2]): Eq
% 15.34/15.55 (And (And (∀ (Xx : a), cQ Xx Xx) (∀ (Xx Xy : a), cQ Xx Xy → cQ Xy Xx))
% 15.34/15.55 (∀ (Xx Xy Xz : a), And (cQ Xx Xy) (cQ Xy Xz) → cQ Xx Xz))
% 15.34/15.55 False
% 15.34/15.55 Clause #5 (by clausification #[3]): ∀ (a_1 : a),
% 15.34/15.55 Eq (Exists fun Xp => And (And (Exists Xp) (∀ (Xx0 : a), Xp Xx0 → ∀ (Xy : a), Iff (Xp Xy) (cQ Xx0 Xy))) (Xp a_1)) True
% 15.34/15.55 Clause #6 (by clausification #[5]): ∀ (a_1 : a) (a_2 : a → Prop),
% 15.34/15.55 Eq
% 15.34/15.55 (And
% 15.34/15.55 (And (Exists (skS.0 0 a_1 a_2))
% 15.34/15.55 (∀ (Xx0 : a), skS.0 0 a_1 a_2 Xx0 → ∀ (Xy : a), Iff (skS.0 0 a_1 a_2 Xy) (cQ Xx0 Xy)))
% 15.34/15.55 (skS.0 0 a_1 a_2 a_1))
% 15.34/15.55 True
% 15.34/15.55 Clause #7 (by clausification #[6]): ∀ (a_1 : a) (a_2 : a → Prop), Eq (skS.0 0 a_1 a_2 a_1) True
% 15.34/15.55 Clause #8 (by clausification #[6]): ∀ (a_1 : a) (a_2 : a → Prop),
% 15.34/15.55 Eq
% 15.34/15.55 (And (Exists (skS.0 0 a_1 a_2))
% 15.34/15.55 (∀ (Xx0 : a), skS.0 0 a_1 a_2 Xx0 → ∀ (Xy : a), Iff (skS.0 0 a_1 a_2 Xy) (cQ Xx0 Xy)))
% 15.34/15.55 True
% 15.34/15.55 Clause #9 (by clausification #[4]): Or (Eq (And (∀ (Xx : a), cQ Xx Xx) (∀ (Xx Xy : a), cQ Xx Xy → cQ Xy Xx)) False)
% 15.34/15.55 (Eq (∀ (Xx Xy Xz : a), And (cQ Xx Xy) (cQ Xy Xz) → cQ Xx Xz) False)
% 15.34/15.55 Clause #10 (by clausification #[9]): Or (Eq (∀ (Xx Xy Xz : a), And (cQ Xx Xy) (cQ Xy Xz) → cQ Xx Xz) False)
% 15.34/15.55 (Or (Eq (∀ (Xx : a), cQ Xx Xx) False) (Eq (∀ (Xx Xy : a), cQ Xx Xy → cQ Xy Xx) False))
% 15.34/15.55 Clause #11 (by clausification #[10]): ∀ (a_1 : a),
% 15.34/15.55 Or (Eq (∀ (Xx : a), cQ Xx Xx) False)
% 15.34/15.55 (Or (Eq (∀ (Xx Xy : a), cQ Xx Xy → cQ Xy Xx) False)
% 15.34/15.55 (Eq (Not (∀ (Xy Xz : a), And (cQ (skS.0 1 a_1) Xy) (cQ Xy Xz) → cQ (skS.0 1 a_1) Xz)) True))
% 15.34/15.55 Clause #12 (by clausification #[11]): ∀ (a_1 a_2 : a),
% 15.34/15.55 Or (Eq (∀ (Xx Xy : a), cQ Xx Xy → cQ Xy Xx) False)
% 15.34/15.55 (Or (Eq (Not (∀ (Xy Xz : a), And (cQ (skS.0 1 a_1) Xy) (cQ Xy Xz) → cQ (skS.0 1 a_1) Xz)) True)
% 15.34/15.55 (Eq (Not (cQ (skS.0 2 a_2) (skS.0 2 a_2))) True))
% 15.34/15.55 Clause #13 (by clausification #[12]): ∀ (a_1 a_2 a_3 : a),
% 15.34/15.55 Or (Eq (Not (∀ (Xy Xz : a), And (cQ (skS.0 1 a_1) Xy) (cQ Xy Xz) → cQ (skS.0 1 a_1) Xz)) True)
% 15.34/15.55 (Or (Eq (Not (cQ (skS.0 2 a_2) (skS.0 2 a_2))) True)
% 15.34/15.55 (Eq (Not (∀ (Xy : a), cQ (skS.0 3 a_3) Xy → cQ Xy (skS.0 3 a_3))) True))
% 15.34/15.55 Clause #14 (by clausification #[13]): ∀ (a_1 a_2 a_3 : a),
% 15.34/15.55 Or (Eq (Not (cQ (skS.0 2 a_1) (skS.0 2 a_1))) True)
% 15.34/15.55 (Or (Eq (Not (∀ (Xy : a), cQ (skS.0 3 a_2) Xy → cQ Xy (skS.0 3 a_2))) True)
% 15.34/15.55 (Eq (∀ (Xy Xz : a), And (cQ (skS.0 1 a_3) Xy) (cQ Xy Xz) → cQ (skS.0 1 a_3) Xz) False))
% 15.34/15.55 Clause #15 (by clausification #[14]): ∀ (a_1 a_2 a_3 : a),
% 15.34/15.55 Or (Eq (Not (∀ (Xy : a), cQ (skS.0 3 a_1) Xy → cQ Xy (skS.0 3 a_1))) True)
% 15.34/15.55 (Or (Eq (∀ (Xy Xz : a), And (cQ (skS.0 1 a_2) Xy) (cQ Xy Xz) → cQ (skS.0 1 a_2) Xz) False)
% 15.34/15.55 (Eq (cQ (skS.0 2 a_3) (skS.0 2 a_3)) False))
% 15.34/15.55 Clause #16 (by clausification #[15]): ∀ (a_1 a_2 a_3 : a),
% 15.34/15.58 Or (Eq (∀ (Xy Xz : a), And (cQ (skS.0 1 a_1) Xy) (cQ Xy Xz) → cQ (skS.0 1 a_1) Xz) False)
% 15.34/15.58 (Or (Eq (cQ (skS.0 2 a_2) (skS.0 2 a_2)) False) (Eq (∀ (Xy : a), cQ (skS.0 3 a_3) Xy → cQ Xy (skS.0 3 a_3)) False))
% 15.34/15.58 Clause #17 (by clausification #[16]): ∀ (a_1 a_2 a_3 a_4 : a),
% 15.34/15.58 Or (Eq (cQ (skS.0 2 a_1) (skS.0 2 a_1)) False)
% 15.34/15.58 (Or (Eq (∀ (Xy : a), cQ (skS.0 3 a_2) Xy → cQ Xy (skS.0 3 a_2)) False)
% 15.34/15.58 (Eq (Not (∀ (Xz : a), And (cQ (skS.0 1 a_3) (skS.0 4 a_3 a_4)) (cQ (skS.0 4 a_3 a_4) Xz) → cQ (skS.0 1 a_3) Xz))
% 15.34/15.58 True))
% 15.34/15.58 Clause #18 (by clausification #[17]): ∀ (a_1 a_2 a_3 a_4 a_5 : a),
% 15.34/15.58 Or (Eq (cQ (skS.0 2 a_1) (skS.0 2 a_1)) False)
% 15.34/15.58 (Or
% 15.34/15.58 (Eq (Not (∀ (Xz : a), And (cQ (skS.0 1 a_2) (skS.0 4 a_2 a_3)) (cQ (skS.0 4 a_2 a_3) Xz) → cQ (skS.0 1 a_2) Xz))
% 15.34/15.58 True)
% 15.34/15.58 (Eq (Not (cQ (skS.0 3 a_4) (skS.0 5 a_4 a_5) → cQ (skS.0 5 a_4 a_5) (skS.0 3 a_4))) True))
% 15.34/15.58 Clause #19 (by clausification #[18]): ∀ (a_1 a_2 a_3 a_4 a_5 : a),
% 15.34/15.58 Or (Eq (cQ (skS.0 2 a_1) (skS.0 2 a_1)) False)
% 15.34/15.58 (Or (Eq (Not (cQ (skS.0 3 a_2) (skS.0 5 a_2 a_3) → cQ (skS.0 5 a_2 a_3) (skS.0 3 a_2))) True)
% 15.34/15.58 (Eq (∀ (Xz : a), And (cQ (skS.0 1 a_4) (skS.0 4 a_4 a_5)) (cQ (skS.0 4 a_4 a_5) Xz) → cQ (skS.0 1 a_4) Xz) False))
% 15.34/15.58 Clause #20 (by clausification #[19]): ∀ (a_1 a_2 a_3 a_4 a_5 : a),
% 15.34/15.58 Or (Eq (cQ (skS.0 2 a_1) (skS.0 2 a_1)) False)
% 15.34/15.58 (Or
% 15.34/15.58 (Eq (∀ (Xz : a), And (cQ (skS.0 1 a_2) (skS.0 4 a_2 a_3)) (cQ (skS.0 4 a_2 a_3) Xz) → cQ (skS.0 1 a_2) Xz) False)
% 15.34/15.58 (Eq (cQ (skS.0 3 a_4) (skS.0 5 a_4 a_5) → cQ (skS.0 5 a_4 a_5) (skS.0 3 a_4)) False))
% 15.34/15.58 Clause #21 (by clausification #[20]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 15.34/15.58 Or (Eq (cQ (skS.0 2 a_1) (skS.0 2 a_1)) False)
% 15.34/15.58 (Or (Eq (cQ (skS.0 3 a_2) (skS.0 5 a_2 a_3) → cQ (skS.0 5 a_2 a_3) (skS.0 3 a_2)) False)
% 15.34/15.58 (Eq
% 15.34/15.58 (Not
% 15.34/15.58 (And (cQ (skS.0 1 a_4) (skS.0 4 a_4 a_5)) (cQ (skS.0 4 a_4 a_5) (skS.0 6 a_4 a_5 a_6)) →
% 15.34/15.58 cQ (skS.0 1 a_4) (skS.0 6 a_4 a_5 a_6)))
% 15.34/15.58 True))
% 15.34/15.58 Clause #22 (by clausification #[21]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 15.34/15.58 Or (Eq (cQ (skS.0 2 a_1) (skS.0 2 a_1)) False)
% 15.34/15.58 (Or
% 15.34/15.58 (Eq
% 15.34/15.58 (Not
% 15.34/15.58 (And (cQ (skS.0 1 a_2) (skS.0 4 a_2 a_3)) (cQ (skS.0 4 a_2 a_3) (skS.0 6 a_2 a_3 a_4)) →
% 15.34/15.58 cQ (skS.0 1 a_2) (skS.0 6 a_2 a_3 a_4)))
% 15.34/15.58 True)
% 15.34/15.58 (Eq (cQ (skS.0 3 a_5) (skS.0 5 a_5 a_6)) True))
% 15.34/15.58 Clause #23 (by clausification #[21]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 15.34/15.58 Or (Eq (cQ (skS.0 2 a_1) (skS.0 2 a_1)) False)
% 15.34/15.58 (Or
% 15.34/15.58 (Eq
% 15.34/15.58 (Not
% 15.34/15.58 (And (cQ (skS.0 1 a_2) (skS.0 4 a_2 a_3)) (cQ (skS.0 4 a_2 a_3) (skS.0 6 a_2 a_3 a_4)) →
% 15.34/15.58 cQ (skS.0 1 a_2) (skS.0 6 a_2 a_3 a_4)))
% 15.34/15.58 True)
% 15.34/15.58 (Eq (cQ (skS.0 5 a_5 a_6) (skS.0 3 a_5)) False))
% 15.34/15.58 Clause #24 (by clausification #[22]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 15.34/15.58 Or (Eq (cQ (skS.0 2 a_1) (skS.0 2 a_1)) False)
% 15.34/15.58 (Or (Eq (cQ (skS.0 3 a_2) (skS.0 5 a_2 a_3)) True)
% 15.34/15.58 (Eq
% 15.34/15.58 (And (cQ (skS.0 1 a_4) (skS.0 4 a_4 a_5)) (cQ (skS.0 4 a_4 a_5) (skS.0 6 a_4 a_5 a_6)) →
% 15.34/15.58 cQ (skS.0 1 a_4) (skS.0 6 a_4 a_5 a_6))
% 15.34/15.58 False))
% 15.34/15.58 Clause #25 (by clausification #[24]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 15.34/15.58 Or (Eq (cQ (skS.0 2 a_1) (skS.0 2 a_1)) False)
% 15.34/15.58 (Or (Eq (cQ (skS.0 3 a_2) (skS.0 5 a_2 a_3)) True)
% 15.34/15.58 (Eq (And (cQ (skS.0 1 a_4) (skS.0 4 a_4 a_5)) (cQ (skS.0 4 a_4 a_5) (skS.0 6 a_4 a_5 a_6))) True))
% 15.34/15.58 Clause #26 (by clausification #[24]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 15.34/15.58 Or (Eq (cQ (skS.0 2 a_1) (skS.0 2 a_1)) False)
% 15.34/15.58 (Or (Eq (cQ (skS.0 3 a_2) (skS.0 5 a_2 a_3)) True) (Eq (cQ (skS.0 1 a_4) (skS.0 6 a_4 a_5 a_6)) False))
% 15.34/15.58 Clause #27 (by clausification #[25]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 15.34/15.58 Or (Eq (cQ (skS.0 2 a_1) (skS.0 2 a_1)) False)
% 15.34/15.58 (Or (Eq (cQ (skS.0 3 a_2) (skS.0 5 a_2 a_3)) True) (Eq (cQ (skS.0 4 a_4 a_5) (skS.0 6 a_4 a_5 a_6)) True))
% 15.34/15.58 Clause #28 (by clausification #[25]): ∀ (a_1 a_2 a_3 a_4 a_5 : a),
% 15.34/15.58 Or (Eq (cQ (skS.0 2 a_1) (skS.0 2 a_1)) False)
% 15.34/15.58 (Or (Eq (cQ (skS.0 3 a_2) (skS.0 5 a_2 a_3)) True) (Eq (cQ (skS.0 1 a_4) (skS.0 4 a_4 a_5)) True))
% 15.34/15.61 Clause #29 (by clausification #[8]): ∀ (a_1 : a) (a_2 : a → Prop),
% 15.34/15.61 Eq (∀ (Xx0 : a), skS.0 0 a_1 a_2 Xx0 → ∀ (Xy : a), Iff (skS.0 0 a_1 a_2 Xy) (cQ Xx0 Xy)) True
% 15.34/15.61 Clause #31 (by clausification #[29]): ∀ (a_1 : a) (a_2 : a → Prop) (a_3 : a), Eq (skS.0 0 a_1 a_2 a_3 → ∀ (Xy : a), Iff (skS.0 0 a_1 a_2 Xy) (cQ a_3 Xy)) True
% 15.34/15.61 Clause #32 (by clausification #[31]): ∀ (a_1 : a) (a_2 : a → Prop) (a_3 : a),
% 15.34/15.61 Or (Eq (skS.0 0 a_1 a_2 a_3) False) (Eq (∀ (Xy : a), Iff (skS.0 0 a_1 a_2 Xy) (cQ a_3 Xy)) True)
% 15.34/15.61 Clause #33 (by clausification #[32]): ∀ (a_1 : a) (a_2 : a → Prop) (a_3 a_4 : a),
% 15.34/15.61 Or (Eq (skS.0 0 a_1 a_2 a_3) False) (Eq (Iff (skS.0 0 a_1 a_2 a_4) (cQ a_3 a_4)) True)
% 15.34/15.61 Clause #34 (by clausification #[33]): ∀ (a_1 : a) (a_2 : a → Prop) (a_3 a_4 : a),
% 15.34/15.61 Or (Eq (skS.0 0 a_1 a_2 a_3) False) (Or (Eq (skS.0 0 a_1 a_2 a_4) True) (Eq (cQ a_3 a_4) False))
% 15.34/15.61 Clause #35 (by clausification #[33]): ∀ (a_1 : a) (a_2 : a → Prop) (a_3 a_4 : a),
% 15.34/15.61 Or (Eq (skS.0 0 a_1 a_2 a_3) False) (Or (Eq (skS.0 0 a_1 a_2 a_4) False) (Eq (cQ a_3 a_4) True))
% 15.34/15.61 Clause #36 (by superposition #[34, 7]): ∀ (a_1 : a) (a_2 : a → Prop) (a_3 : a),
% 15.34/15.61 Or (Eq (skS.0 0 a_1 (fun x => a_2 x) a_3) True) (Or (Eq (cQ a_1 a_3) False) (Eq False True))
% 15.34/15.61 Clause #39 (by betaEtaReduce #[36]): ∀ (a_1 : a) (a_2 : a → Prop) (a_3 : a), Or (Eq (skS.0 0 a_1 a_2 a_3) True) (Or (Eq (cQ a_1 a_3) False) (Eq False True))
% 15.34/15.61 Clause #40 (by clausification #[39]): ∀ (a_1 : a) (a_2 : a → Prop) (a_3 : a), Or (Eq (skS.0 0 a_1 a_2 a_3) True) (Eq (cQ a_1 a_3) False)
% 15.34/15.61 Clause #41 (by clausification #[23]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 15.34/15.61 Or (Eq (cQ (skS.0 2 a_1) (skS.0 2 a_1)) False)
% 15.34/15.61 (Or (Eq (cQ (skS.0 5 a_2 a_3) (skS.0 3 a_2)) False)
% 15.34/15.61 (Eq
% 15.34/15.61 (And (cQ (skS.0 1 a_4) (skS.0 4 a_4 a_5)) (cQ (skS.0 4 a_4 a_5) (skS.0 6 a_4 a_5 a_6)) →
% 15.34/15.61 cQ (skS.0 1 a_4) (skS.0 6 a_4 a_5 a_6))
% 15.34/15.61 False))
% 15.34/15.61 Clause #42 (by clausification #[41]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 15.34/15.61 Or (Eq (cQ (skS.0 2 a_1) (skS.0 2 a_1)) False)
% 15.34/15.61 (Or (Eq (cQ (skS.0 5 a_2 a_3) (skS.0 3 a_2)) False)
% 15.34/15.61 (Eq (And (cQ (skS.0 1 a_4) (skS.0 4 a_4 a_5)) (cQ (skS.0 4 a_4 a_5) (skS.0 6 a_4 a_5 a_6))) True))
% 15.34/15.61 Clause #43 (by clausification #[41]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 15.34/15.61 Or (Eq (cQ (skS.0 2 a_1) (skS.0 2 a_1)) False)
% 15.34/15.61 (Or (Eq (cQ (skS.0 5 a_2 a_3) (skS.0 3 a_2)) False) (Eq (cQ (skS.0 1 a_4) (skS.0 6 a_4 a_5 a_6)) False))
% 15.34/15.61 Clause #44 (by clausification #[42]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 15.34/15.61 Or (Eq (cQ (skS.0 2 a_1) (skS.0 2 a_1)) False)
% 15.34/15.61 (Or (Eq (cQ (skS.0 5 a_2 a_3) (skS.0 3 a_2)) False) (Eq (cQ (skS.0 4 a_4 a_5) (skS.0 6 a_4 a_5 a_6)) True))
% 15.34/15.61 Clause #45 (by clausification #[42]): ∀ (a_1 a_2 a_3 a_4 a_5 : a),
% 15.34/15.61 Or (Eq (cQ (skS.0 2 a_1) (skS.0 2 a_1)) False)
% 15.34/15.61 (Or (Eq (cQ (skS.0 5 a_2 a_3) (skS.0 3 a_2)) False) (Eq (cQ (skS.0 1 a_4) (skS.0 4 a_4 a_5)) True))
% 15.34/15.61 Clause #46 (by superposition #[35, 7]): ∀ (a_1 : a) (a_2 : a → Prop) (a_3 : a),
% 15.34/15.61 Or (Eq (skS.0 0 a_1 (fun x => a_2 x) a_3) False) (Or (Eq (cQ a_1 a_3) True) (Eq False True))
% 15.34/15.61 Clause #48 (by betaEtaReduce #[46]): ∀ (a_1 : a) (a_2 : a → Prop) (a_3 : a), Or (Eq (skS.0 0 a_1 a_2 a_3) False) (Or (Eq (cQ a_1 a_3) True) (Eq False True))
% 15.34/15.61 Clause #49 (by clausification #[48]): ∀ (a_1 : a) (a_2 : a → Prop) (a_3 : a), Or (Eq (skS.0 0 a_1 a_2 a_3) False) (Eq (cQ a_1 a_3) True)
% 15.34/15.61 Clause #51 (by superposition #[49, 7]): ∀ (a : a), Or (Eq (cQ a a) True) (Eq False True)
% 15.34/15.61 Clause #52 (by clausification #[51]): ∀ (a : a), Eq (cQ a a) True
% 15.34/15.61 Clause #53 (by superposition #[52, 27]): ∀ (a_1 a_2 a_3 a_4 a_5 : a),
% 15.34/15.61 Or (Eq True False)
% 15.34/15.61 (Or (Eq (cQ (skS.0 3 a_1) (skS.0 5 a_1 a_2)) True) (Eq (cQ (skS.0 4 a_3 a_4) (skS.0 6 a_3 a_4 a_5)) True))
% 15.34/15.61 Clause #54 (by superposition #[52, 44]): ∀ (a_1 a_2 a_3 a_4 a_5 : a),
% 15.34/15.61 Or (Eq True False)
% 15.34/15.61 (Or (Eq (cQ (skS.0 5 a_1 a_2) (skS.0 3 a_1)) False) (Eq (cQ (skS.0 4 a_3 a_4) (skS.0 6 a_3 a_4 a_5)) True))
% 15.34/15.61 Clause #58 (by superposition #[26, 52]): ∀ (a_1 a_2 a_3 a_4 a_5 : a),
% 15.34/15.61 Or (Eq True False)
% 15.34/15.61 (Or (Eq (cQ (skS.0 3 a_1) (skS.0 5 a_1 a_2)) True) (Eq (cQ (skS.0 1 a_3) (skS.0 6 a_3 a_4 a_5)) False))
% 15.34/15.63 Clause #73 (by superposition #[28, 52]): ∀ (a_1 a_2 a_3 a_4 : a),
% 15.34/15.63 Or (Eq True False) (Or (Eq (cQ (skS.0 3 a_1) (skS.0 5 a_1 a_2)) True) (Eq (cQ (skS.0 1 a_3) (skS.0 4 a_3 a_4)) True))
% 15.34/15.63 Clause #98 (by superposition #[43, 52]): ∀ (a_1 a_2 a_3 a_4 a_5 : a),
% 15.34/15.63 Or (Eq True False)
% 15.34/15.63 (Or (Eq (cQ (skS.0 5 a_1 a_2) (skS.0 3 a_1)) False) (Eq (cQ (skS.0 1 a_3) (skS.0 6 a_3 a_4 a_5)) False))
% 15.34/15.63 Clause #112 (by superposition #[45, 52]): ∀ (a_1 a_2 a_3 a_4 : a),
% 15.34/15.63 Or (Eq True False) (Or (Eq (cQ (skS.0 5 a_1 a_2) (skS.0 3 a_1)) False) (Eq (cQ (skS.0 1 a_3) (skS.0 4 a_3 a_4)) True))
% 15.34/15.63 Clause #122 (by clausification #[53]): ∀ (a_1 a_2 a_3 a_4 a_5 : a),
% 15.34/15.63 Or (Eq (cQ (skS.0 3 a_1) (skS.0 5 a_1 a_2)) True) (Eq (cQ (skS.0 4 a_3 a_4) (skS.0 6 a_3 a_4 a_5)) True)
% 15.34/15.63 Clause #125 (by superposition #[122, 40]): ∀ (a_1 a_2 a_3 a_4 : a) (a_5 : a → Prop) (a_6 : a),
% 15.34/15.63 Or (Eq (cQ (skS.0 3 a_1) (skS.0 5 a_1 a_2)) True)
% 15.34/15.63 (Or (Eq (skS.0 0 (skS.0 4 a_3 a_4) a_5 (skS.0 6 a_3 a_4 a_6)) True) (Eq True False))
% 15.34/15.63 Clause #140 (by clausification #[54]): ∀ (a_1 a_2 a_3 a_4 a_5 : a),
% 15.34/15.63 Or (Eq (cQ (skS.0 5 a_1 a_2) (skS.0 3 a_1)) False) (Eq (cQ (skS.0 4 a_3 a_4) (skS.0 6 a_3 a_4 a_5)) True)
% 15.34/15.63 Clause #141 (by clausification #[73]): ∀ (a_1 a_2 a_3 a_4 : a),
% 15.34/15.63 Or (Eq (cQ (skS.0 3 a_1) (skS.0 5 a_1 a_2)) True) (Eq (cQ (skS.0 1 a_3) (skS.0 4 a_3 a_4)) True)
% 15.34/15.63 Clause #144 (by superposition #[141, 40]): ∀ (a_1 a_2 a_3 : a) (a_4 : a → Prop) (a_5 : a),
% 15.34/15.63 Or (Eq (cQ (skS.0 3 a_1) (skS.0 5 a_1 a_2)) True)
% 15.34/15.63 (Or (Eq (skS.0 0 (skS.0 1 a_3) a_4 (skS.0 4 a_3 a_5)) True) (Eq True False))
% 15.34/15.63 Clause #146 (by clausification #[112]): ∀ (a_1 a_2 a_3 a_4 : a),
% 15.34/15.63 Or (Eq (cQ (skS.0 5 a_1 a_2) (skS.0 3 a_1)) False) (Eq (cQ (skS.0 1 a_3) (skS.0 4 a_3 a_4)) True)
% 15.34/15.63 Clause #162 (by clausification #[58]): ∀ (a_1 a_2 a_3 a_4 a_5 : a),
% 15.34/15.63 Or (Eq (cQ (skS.0 3 a_1) (skS.0 5 a_1 a_2)) True) (Eq (cQ (skS.0 1 a_3) (skS.0 6 a_3 a_4 a_5)) False)
% 15.34/15.63 Clause #196 (by clausification #[98]): ∀ (a_1 a_2 a_3 a_4 a_5 : a),
% 15.34/15.63 Or (Eq (cQ (skS.0 5 a_1 a_2) (skS.0 3 a_1)) False) (Eq (cQ (skS.0 1 a_3) (skS.0 6 a_3 a_4 a_5)) False)
% 15.34/15.63 Clause #211 (by clausification #[144]): ∀ (a_1 a_2 a_3 : a) (a_4 : a → Prop) (a_5 : a),
% 15.34/15.63 Or (Eq (cQ (skS.0 3 a_1) (skS.0 5 a_1 a_2)) True) (Eq (skS.0 0 (skS.0 1 a_3) a_4 (skS.0 4 a_3 a_5)) True)
% 15.34/15.63 Clause #216 (by superposition #[211, 35]): ∀ (a_1 a_2 a_3 : a) (a_4 : a → Prop) (a_5 a_6 : a),
% 15.34/15.63 Or (Eq (cQ (skS.0 3 a_1) (skS.0 5 a_1 a_2)) True)
% 15.34/15.63 (Or (Eq True False) (Or (Eq (skS.0 0 (skS.0 1 a_3) a_4 a_5) False) (Eq (cQ (skS.0 4 a_3 a_6) a_5) True)))
% 15.34/15.63 Clause #265 (by clausification #[125]): ∀ (a_1 a_2 a_3 a_4 : a) (a_5 : a → Prop) (a_6 : a),
% 15.34/15.63 Or (Eq (cQ (skS.0 3 a_1) (skS.0 5 a_1 a_2)) True) (Eq (skS.0 0 (skS.0 4 a_3 a_4) a_5 (skS.0 6 a_3 a_4 a_6)) True)
% 15.34/15.63 Clause #408 (by clausification #[216]): ∀ (a_1 a_2 a_3 : a) (a_4 : a → Prop) (a_5 a_6 : a),
% 15.34/15.63 Or (Eq (cQ (skS.0 3 a_1) (skS.0 5 a_1 a_2)) True)
% 15.34/15.63 (Or (Eq (skS.0 0 (skS.0 1 a_3) a_4 a_5) False) (Eq (cQ (skS.0 4 a_3 a_6) a_5) True))
% 15.34/15.63 Clause #414 (by superposition #[408, 7]): ∀ (a_1 a_2 a_3 a_4 : a),
% 15.34/15.63 Or (Eq (cQ (skS.0 3 a_1) (skS.0 5 a_1 a_2)) True) (Or (Eq (cQ (skS.0 4 a_3 a_4) (skS.0 1 a_3)) True) (Eq False True))
% 15.34/15.63 Clause #415 (by clausification #[414]): ∀ (a_1 a_2 a_3 a_4 : a),
% 15.34/15.63 Or (Eq (cQ (skS.0 3 a_1) (skS.0 5 a_1 a_2)) True) (Eq (cQ (skS.0 4 a_3 a_4) (skS.0 1 a_3)) True)
% 15.34/15.63 Clause #416 (by superposition #[415, 40]): ∀ (a_1 a_2 a_3 : a) (a_4 : a → Prop) (a_5 : a),
% 15.34/15.63 Or (Eq (cQ (skS.0 4 a_1 a_2) (skS.0 1 a_1)) True)
% 15.34/15.63 (Or (Eq (skS.0 0 (skS.0 3 a_3) a_4 (skS.0 5 a_3 a_5)) True) (Eq True False))
% 15.34/15.63 Clause #425 (by clausification #[416]): ∀ (a_1 a_2 a_3 : a) (a_4 : a → Prop) (a_5 : a),
% 15.34/15.63 Or (Eq (cQ (skS.0 4 a_1 a_2) (skS.0 1 a_1)) True) (Eq (skS.0 0 (skS.0 3 a_3) a_4 (skS.0 5 a_3 a_5)) True)
% 15.34/15.63 Clause #432 (by superposition #[425, 35]): ∀ (a_1 a_2 a_3 : a) (a_4 : a → Prop) (a_5 a_6 : a),
% 15.34/15.63 Or (Eq (cQ (skS.0 4 a_1 a_2) (skS.0 1 a_1)) True)
% 15.34/15.63 (Or (Eq True False) (Or (Eq (skS.0 0 (skS.0 3 a_3) a_4 a_5) False) (Eq (cQ (skS.0 5 a_3 a_6) a_5) True)))
% 15.34/15.66 Clause #482 (by clausification #[432]): ∀ (a_1 a_2 a_3 : a) (a_4 : a → Prop) (a_5 a_6 : a),
% 15.34/15.66 Or (Eq (cQ (skS.0 4 a_1 a_2) (skS.0 1 a_1)) True)
% 15.34/15.66 (Or (Eq (skS.0 0 (skS.0 3 a_3) a_4 a_5) False) (Eq (cQ (skS.0 5 a_3 a_6) a_5) True))
% 15.34/15.66 Clause #490 (by superposition #[482, 7]): ∀ (a_1 a_2 a_3 a_4 : a),
% 15.34/15.66 Or (Eq (cQ (skS.0 4 a_1 a_2) (skS.0 1 a_1)) True) (Or (Eq (cQ (skS.0 5 a_3 a_4) (skS.0 3 a_3)) True) (Eq False True))
% 15.34/15.66 Clause #491 (by clausification #[490]): ∀ (a_1 a_2 a_3 a_4 : a),
% 15.34/15.66 Or (Eq (cQ (skS.0 4 a_1 a_2) (skS.0 1 a_1)) True) (Eq (cQ (skS.0 5 a_3 a_4) (skS.0 3 a_3)) True)
% 15.34/15.66 Clause #498 (by superposition #[491, 146]): ∀ (a_1 a_2 a_3 a_4 : a),
% 15.34/15.66 Or (Eq (cQ (skS.0 4 a_1 a_2) (skS.0 1 a_1)) True) (Or (Eq True False) (Eq (cQ (skS.0 1 a_3) (skS.0 4 a_3 a_4)) True))
% 15.34/15.66 Clause #505 (by clausification #[498]): ∀ (a_1 a_2 a_3 a_4 : a),
% 15.34/15.66 Or (Eq (cQ (skS.0 4 a_1 a_2) (skS.0 1 a_1)) True) (Eq (cQ (skS.0 1 a_3) (skS.0 4 a_3 a_4)) True)
% 15.34/15.66 Clause #511 (by superposition #[505, 40]): ∀ (a_1 a_2 a_3 : a) (a_4 : a → Prop) (a_5 : a),
% 15.34/15.66 Or (Eq (cQ (skS.0 4 a_1 a_2) (skS.0 1 a_1)) True)
% 15.34/15.66 (Or (Eq (skS.0 0 (skS.0 1 a_3) a_4 (skS.0 4 a_3 a_5)) True) (Eq True False))
% 15.34/15.66 Clause #585 (by clausification #[511]): ∀ (a_1 a_2 a_3 : a) (a_4 : a → Prop) (a_5 : a),
% 15.34/15.66 Or (Eq (cQ (skS.0 4 a_1 a_2) (skS.0 1 a_1)) True) (Eq (skS.0 0 (skS.0 1 a_3) a_4 (skS.0 4 a_3 a_5)) True)
% 15.34/15.66 Clause #592 (by superposition #[585, 35]): ∀ (a_1 a_2 a_3 : a) (a_4 : a → Prop) (a_5 a_6 : a),
% 15.34/15.66 Or (Eq (cQ (skS.0 4 a_1 a_2) (skS.0 1 a_1)) True)
% 15.34/15.66 (Or (Eq True False) (Or (Eq (skS.0 0 (skS.0 1 a_3) a_4 a_5) False) (Eq (cQ (skS.0 4 a_3 a_6) a_5) True)))
% 15.34/15.66 Clause #715 (by clausification #[592]): ∀ (a_1 a_2 a_3 : a) (a_4 : a → Prop) (a_5 a_6 : a),
% 15.34/15.66 Or (Eq (cQ (skS.0 4 a_1 a_2) (skS.0 1 a_1)) True)
% 15.34/15.66 (Or (Eq (skS.0 0 (skS.0 1 a_3) a_4 a_5) False) (Eq (cQ (skS.0 4 a_3 a_6) a_5) True))
% 15.34/15.66 Clause #722 (by superposition #[715, 7]): ∀ (a_1 a_2 a_3 a_4 : a),
% 15.34/15.66 Or (Eq (cQ (skS.0 4 a_1 a_2) (skS.0 1 a_1)) True) (Or (Eq (cQ (skS.0 4 a_3 a_4) (skS.0 1 a_3)) True) (Eq False True))
% 15.34/15.66 Clause #727 (by clausification #[722]): ∀ (a_1 a_2 a_3 a_4 : a),
% 15.34/15.66 Or (Eq (cQ (skS.0 4 a_1 a_2) (skS.0 1 a_1)) True) (Eq (cQ (skS.0 4 a_3 a_4) (skS.0 1 a_3)) True)
% 15.34/15.66 Clause #733 (by equality factoring #[727]): ∀ (a_1 a_2 : a), Or (Ne True True) (Eq (cQ (skS.0 4 a_1 a_2) (skS.0 1 a_1)) True)
% 15.34/15.66 Clause #734 (by clausification #[733]): ∀ (a_1 a_2 : a), Or (Eq (cQ (skS.0 4 a_1 a_2) (skS.0 1 a_1)) True) (Or (Eq True False) (Eq True False))
% 15.34/15.66 Clause #736 (by clausification #[734]): ∀ (a_1 a_2 : a), Or (Eq (cQ (skS.0 4 a_1 a_2) (skS.0 1 a_1)) True) (Eq True False)
% 15.34/15.66 Clause #737 (by clausification #[736]): ∀ (a_1 a_2 : a), Eq (cQ (skS.0 4 a_1 a_2) (skS.0 1 a_1)) True
% 15.34/15.66 Clause #739 (by superposition #[737, 40]): ∀ (a_1 a_2 : a) (a_3 : a → Prop), Or (Eq (skS.0 0 (skS.0 4 a_1 a_2) a_3 (skS.0 1 a_1)) True) (Eq True False)
% 15.34/15.66 Clause #743 (by clausification #[739]): ∀ (a_1 a_2 : a) (a_3 : a → Prop), Eq (skS.0 0 (skS.0 4 a_1 a_2) a_3 (skS.0 1 a_1)) True
% 15.34/15.66 Clause #745 (by superposition #[743, 35]): ∀ (a_1 a_2 : a) (a_3 : a → Prop) (a_4 : a),
% 15.34/15.66 Or (Eq True False) (Or (Eq (skS.0 0 (skS.0 4 a_1 a_2) a_3 a_4) False) (Eq (cQ (skS.0 1 a_1) a_4) True))
% 15.34/15.66 Clause #757 (by clausification #[745]): ∀ (a_1 a_2 : a) (a_3 : a → Prop) (a_4 : a),
% 15.34/15.66 Or (Eq (skS.0 0 (skS.0 4 a_1 a_2) a_3 a_4) False) (Eq (cQ (skS.0 1 a_1) a_4) True)
% 15.34/15.66 Clause #761 (by superposition #[757, 265]): ∀ (a_1 a_2 a_3 a_4 a_5 : a),
% 15.34/15.66 Or (Eq (cQ (skS.0 1 a_1) (skS.0 6 a_1 a_2 a_3)) True)
% 15.34/15.66 (Or (Eq (cQ (skS.0 3 a_4) (skS.0 5 a_4 a_5)) True) (Eq False True))
% 15.34/15.66 Clause #764 (by superposition #[757, 7]): ∀ (a_1 a_2 : a), Or (Eq (cQ (skS.0 1 a_1) (skS.0 4 a_1 a_2)) True) (Eq False True)
% 15.34/15.66 Clause #766 (by clausification #[764]): ∀ (a_1 a_2 : a), Eq (cQ (skS.0 1 a_1) (skS.0 4 a_1 a_2)) True
% 15.34/15.66 Clause #768 (by superposition #[766, 40]): ∀ (a_1 : a) (a_2 : a → Prop) (a_3 : a), Or (Eq (skS.0 0 (skS.0 1 a_1) a_2 (skS.0 4 a_1 a_3)) True) (Eq True False)
% 15.34/15.66 Clause #772 (by clausification #[768]): ∀ (a_1 : a) (a_2 : a → Prop) (a_3 : a), Eq (skS.0 0 (skS.0 1 a_1) a_2 (skS.0 4 a_1 a_3)) True
% 15.53/15.69 Clause #773 (by superposition #[772, 34]): ∀ (a_1 : a) (a_2 : a → Prop) (a_3 a_4 : a),
% 15.53/15.69 Or (Eq True False) (Or (Eq (skS.0 0 (skS.0 1 a_1) a_2 a_3) True) (Eq (cQ (skS.0 4 a_1 a_4) a_3) False))
% 15.53/15.69 Clause #822 (by clausification #[773]): ∀ (a_1 : a) (a_2 : a → Prop) (a_3 a_4 : a),
% 15.53/15.69 Or (Eq (skS.0 0 (skS.0 1 a_1) a_2 a_3) True) (Eq (cQ (skS.0 4 a_1 a_4) a_3) False)
% 15.53/15.69 Clause #903 (by clausification #[761]): ∀ (a_1 a_2 a_3 a_4 a_5 : a),
% 15.53/15.69 Or (Eq (cQ (skS.0 1 a_1) (skS.0 6 a_1 a_2 a_3)) True) (Eq (cQ (skS.0 3 a_4) (skS.0 5 a_4 a_5)) True)
% 15.53/15.69 Clause #904 (by superposition #[903, 162]): ∀ (a_1 a_2 a_3 a_4 : a),
% 15.53/15.69 Or (Eq (cQ (skS.0 3 a_1) (skS.0 5 a_1 a_2)) True) (Or (Eq (cQ (skS.0 3 a_3) (skS.0 5 a_3 a_4)) True) (Eq True False))
% 15.53/15.69 Clause #914 (by clausification #[904]): ∀ (a_1 a_2 a_3 a_4 : a),
% 15.53/15.69 Or (Eq (cQ (skS.0 3 a_1) (skS.0 5 a_1 a_2)) True) (Eq (cQ (skS.0 3 a_3) (skS.0 5 a_3 a_4)) True)
% 15.53/15.69 Clause #919 (by equality factoring #[914]): ∀ (a_1 a_2 : a), Or (Ne True True) (Eq (cQ (skS.0 3 a_1) (skS.0 5 a_1 a_2)) True)
% 15.53/15.69 Clause #924 (by clausification #[919]): ∀ (a_1 a_2 : a), Or (Eq (cQ (skS.0 3 a_1) (skS.0 5 a_1 a_2)) True) (Or (Eq True False) (Eq True False))
% 15.53/15.69 Clause #926 (by clausification #[924]): ∀ (a_1 a_2 : a), Or (Eq (cQ (skS.0 3 a_1) (skS.0 5 a_1 a_2)) True) (Eq True False)
% 15.53/15.69 Clause #927 (by clausification #[926]): ∀ (a_1 a_2 : a), Eq (cQ (skS.0 3 a_1) (skS.0 5 a_1 a_2)) True
% 15.53/15.69 Clause #928 (by superposition #[927, 40]): ∀ (a_1 : a) (a_2 : a → Prop) (a_3 : a), Or (Eq (skS.0 0 (skS.0 3 a_1) a_2 (skS.0 5 a_1 a_3)) True) (Eq True False)
% 15.53/15.69 Clause #932 (by clausification #[928]): ∀ (a_1 : a) (a_2 : a → Prop) (a_3 : a), Eq (skS.0 0 (skS.0 3 a_1) a_2 (skS.0 5 a_1 a_3)) True
% 15.53/15.69 Clause #934 (by superposition #[932, 35]): ∀ (a_1 : a) (a_2 : a → Prop) (a_3 a_4 : a),
% 15.53/15.69 Or (Eq True False) (Or (Eq (skS.0 0 (skS.0 3 a_1) a_2 a_3) False) (Eq (cQ (skS.0 5 a_1 a_4) a_3) True))
% 15.53/15.69 Clause #942 (by clausification #[934]): ∀ (a_1 : a) (a_2 : a → Prop) (a_3 a_4 : a),
% 15.53/15.69 Or (Eq (skS.0 0 (skS.0 3 a_1) a_2 a_3) False) (Eq (cQ (skS.0 5 a_1 a_4) a_3) True)
% 15.53/15.69 Clause #948 (by superposition #[942, 7]): ∀ (a_1 a_2 : a), Or (Eq (cQ (skS.0 5 a_1 a_2) (skS.0 3 a_1)) True) (Eq False True)
% 15.53/15.69 Clause #949 (by clausification #[948]): ∀ (a_1 a_2 : a), Eq (cQ (skS.0 5 a_1 a_2) (skS.0 3 a_1)) True
% 15.53/15.69 Clause #950 (by superposition #[949, 140]): ∀ (a_1 a_2 a_3 : a), Or (Eq True False) (Eq (cQ (skS.0 4 a_1 a_2) (skS.0 6 a_1 a_2 a_3)) True)
% 15.53/15.69 Clause #951 (by superposition #[949, 196]): ∀ (a_1 a_2 a_3 : a), Or (Eq True False) (Eq (cQ (skS.0 1 a_1) (skS.0 6 a_1 a_2 a_3)) False)
% 15.53/15.69 Clause #956 (by clausification #[951]): ∀ (a_1 a_2 a_3 : a), Eq (cQ (skS.0 1 a_1) (skS.0 6 a_1 a_2 a_3)) False
% 15.53/15.69 Clause #962 (by clausification #[950]): ∀ (a_1 a_2 a_3 : a), Eq (cQ (skS.0 4 a_1 a_2) (skS.0 6 a_1 a_2 a_3)) True
% 15.53/15.69 Clause #963 (by superposition #[962, 822]): ∀ (a_1 : a) (a_2 : a → Prop) (a_3 a_4 : a),
% 15.53/15.69 Or (Eq (skS.0 0 (skS.0 1 a_1) a_2 (skS.0 6 a_1 a_3 a_4)) True) (Eq True False)
% 15.53/15.69 Clause #1012 (by clausification #[963]): ∀ (a_1 : a) (a_2 : a → Prop) (a_3 a_4 : a), Eq (skS.0 0 (skS.0 1 a_1) a_2 (skS.0 6 a_1 a_3 a_4)) True
% 15.53/15.69 Clause #1015 (by superposition #[1012, 49]): ∀ (a_1 a_2 a_3 : a), Or (Eq True False) (Eq (cQ (skS.0 1 a_1) (skS.0 6 a_1 a_2 a_3)) True)
% 15.53/15.69 Clause #1020 (by clausification #[1015]): ∀ (a_1 a_2 a_3 : a), Eq (cQ (skS.0 1 a_1) (skS.0 6 a_1 a_2 a_3)) True
% 15.53/15.69 Clause #1021 (by superposition #[1020, 956]): Eq True False
% 15.53/15.69 Clause #1025 (by clausification #[1021]): False
% 15.53/15.69 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------