TSTP Solution File: SEV060^5 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEV060^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n029.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 19:24:09 EDT 2023
% Result : Theorem 4.13s 4.27s
% Output : Proof 4.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV060^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 04:18:38 EDT 2023
% 0.15/0.36 % CPUTime :
% 4.13/4.27 SZS status Theorem for theBenchmark.p
% 4.13/4.27 SZS output start Proof for theBenchmark.p
% 4.13/4.27 Clause #0 (by assumption #[]): Eq
% 4.13/4.27 (Not
% 4.13/4.27 (∀ (Xx : b) (Xy : a) (Xs Xk : b → a → Prop),
% 4.13/4.27 And (∀ (Xx_0 : b) (Xy_9 : a), Xk Xx_0 Xy_9 → Or (Xs Xx_0 Xy_9) (And (Eq Xx_0 Xx) (Eq Xy_9 Xy))) (Not (Xk Xx Xy)) →
% 4.13/4.27 ∀ (Xx0 : b) (Xy0 : a), Xk Xx0 Xy0 → Xs Xx0 Xy0))
% 4.13/4.27 True
% 4.13/4.27 Clause #1 (by clausification #[0]): Eq
% 4.13/4.27 (∀ (Xx : b) (Xy : a) (Xs Xk : b → a → Prop),
% 4.13/4.27 And (∀ (Xx_0 : b) (Xy_9 : a), Xk Xx_0 Xy_9 → Or (Xs Xx_0 Xy_9) (And (Eq Xx_0 Xx) (Eq Xy_9 Xy))) (Not (Xk Xx Xy)) →
% 4.13/4.27 ∀ (Xx0 : b) (Xy0 : a), Xk Xx0 Xy0 → Xs Xx0 Xy0)
% 4.13/4.27 False
% 4.13/4.27 Clause #2 (by clausification #[1]): ∀ (a_1 : b),
% 4.13/4.27 Eq
% 4.13/4.27 (Not
% 4.13/4.27 (∀ (Xy : a) (Xs Xk : b → a → Prop),
% 4.13/4.27 And (∀ (Xx_0 : b) (Xy_9 : a), Xk Xx_0 Xy_9 → Or (Xs Xx_0 Xy_9) (And (Eq Xx_0 (skS.0 0 a_1)) (Eq Xy_9 Xy)))
% 4.13/4.27 (Not (Xk (skS.0 0 a_1) Xy)) →
% 4.13/4.27 ∀ (Xx0 : b) (Xy0 : a), Xk Xx0 Xy0 → Xs Xx0 Xy0))
% 4.13/4.27 True
% 4.13/4.27 Clause #3 (by clausification #[2]): ∀ (a_1 : b),
% 4.13/4.27 Eq
% 4.13/4.27 (∀ (Xy : a) (Xs Xk : b → a → Prop),
% 4.13/4.27 And (∀ (Xx_0 : b) (Xy_9 : a), Xk Xx_0 Xy_9 → Or (Xs Xx_0 Xy_9) (And (Eq Xx_0 (skS.0 0 a_1)) (Eq Xy_9 Xy)))
% 4.13/4.27 (Not (Xk (skS.0 0 a_1) Xy)) →
% 4.13/4.27 ∀ (Xx0 : b) (Xy0 : a), Xk Xx0 Xy0 → Xs Xx0 Xy0)
% 4.13/4.27 False
% 4.13/4.27 Clause #4 (by clausification #[3]): ∀ (a_1 : b) (a_2 : a),
% 4.13/4.27 Eq
% 4.13/4.27 (Not
% 4.13/4.27 (∀ (Xs Xk : b → a → Prop),
% 4.13/4.27 And
% 4.13/4.27 (∀ (Xx_0 : b) (Xy_9 : a),
% 4.13/4.27 Xk Xx_0 Xy_9 → Or (Xs Xx_0 Xy_9) (And (Eq Xx_0 (skS.0 0 a_1)) (Eq Xy_9 (skS.0 1 a_1 a_2))))
% 4.13/4.27 (Not (Xk (skS.0 0 a_1) (skS.0 1 a_1 a_2))) →
% 4.13/4.27 ∀ (Xx0 : b) (Xy0 : a), Xk Xx0 Xy0 → Xs Xx0 Xy0))
% 4.13/4.27 True
% 4.13/4.27 Clause #5 (by clausification #[4]): ∀ (a_1 : b) (a_2 : a),
% 4.13/4.27 Eq
% 4.13/4.27 (∀ (Xs Xk : b → a → Prop),
% 4.13/4.27 And
% 4.13/4.27 (∀ (Xx_0 : b) (Xy_9 : a),
% 4.13/4.27 Xk Xx_0 Xy_9 → Or (Xs Xx_0 Xy_9) (And (Eq Xx_0 (skS.0 0 a_1)) (Eq Xy_9 (skS.0 1 a_1 a_2))))
% 4.13/4.27 (Not (Xk (skS.0 0 a_1) (skS.0 1 a_1 a_2))) →
% 4.13/4.27 ∀ (Xx0 : b) (Xy0 : a), Xk Xx0 Xy0 → Xs Xx0 Xy0)
% 4.13/4.27 False
% 4.13/4.27 Clause #6 (by clausification #[5]): ∀ (a_1 : b) (a_2 : a) (a_3 : b → a → Prop),
% 4.13/4.27 Eq
% 4.13/4.27 (Not
% 4.13/4.27 (∀ (Xk : b → a → Prop),
% 4.13/4.27 And
% 4.13/4.27 (∀ (Xx_0 : b) (Xy_9 : a),
% 4.13/4.27 Xk Xx_0 Xy_9 →
% 4.13/4.27 Or (skS.0 2 a_1 a_2 a_3 Xx_0 Xy_9) (And (Eq Xx_0 (skS.0 0 a_1)) (Eq Xy_9 (skS.0 1 a_1 a_2))))
% 4.13/4.27 (Not (Xk (skS.0 0 a_1) (skS.0 1 a_1 a_2))) →
% 4.13/4.27 ∀ (Xx0 : b) (Xy0 : a), Xk Xx0 Xy0 → skS.0 2 a_1 a_2 a_3 Xx0 Xy0))
% 4.13/4.27 True
% 4.13/4.27 Clause #7 (by clausification #[6]): ∀ (a_1 : b) (a_2 : a) (a_3 : b → a → Prop),
% 4.13/4.27 Eq
% 4.13/4.27 (∀ (Xk : b → a → Prop),
% 4.13/4.27 And
% 4.13/4.27 (∀ (Xx_0 : b) (Xy_9 : a),
% 4.13/4.27 Xk Xx_0 Xy_9 → Or (skS.0 2 a_1 a_2 a_3 Xx_0 Xy_9) (And (Eq Xx_0 (skS.0 0 a_1)) (Eq Xy_9 (skS.0 1 a_1 a_2))))
% 4.13/4.27 (Not (Xk (skS.0 0 a_1) (skS.0 1 a_1 a_2))) →
% 4.13/4.27 ∀ (Xx0 : b) (Xy0 : a), Xk Xx0 Xy0 → skS.0 2 a_1 a_2 a_3 Xx0 Xy0)
% 4.13/4.27 False
% 4.13/4.27 Clause #8 (by clausification #[7]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop),
% 4.13/4.27 Eq
% 4.13/4.27 (Not
% 4.13/4.27 (And
% 4.13/4.27 (∀ (Xx_0 : b) (Xy_9 : a),
% 4.13/4.27 skS.0 3 a_1 a_2 a_3 a_4 Xx_0 Xy_9 →
% 4.13/4.27 Or (skS.0 2 a_1 a_2 a_3 Xx_0 Xy_9) (And (Eq Xx_0 (skS.0 0 a_1)) (Eq Xy_9 (skS.0 1 a_1 a_2))))
% 4.13/4.27 (Not (skS.0 3 a_1 a_2 a_3 a_4 (skS.0 0 a_1) (skS.0 1 a_1 a_2))) →
% 4.13/4.27 ∀ (Xx0 : b) (Xy0 : a), skS.0 3 a_1 a_2 a_3 a_4 Xx0 Xy0 → skS.0 2 a_1 a_2 a_3 Xx0 Xy0))
% 4.13/4.27 True
% 4.13/4.27 Clause #9 (by clausification #[8]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop),
% 4.13/4.27 Eq
% 4.13/4.27 (And
% 4.13/4.27 (∀ (Xx_0 : b) (Xy_9 : a),
% 4.13/4.27 skS.0 3 a_1 a_2 a_3 a_4 Xx_0 Xy_9 →
% 4.13/4.27 Or (skS.0 2 a_1 a_2 a_3 Xx_0 Xy_9) (And (Eq Xx_0 (skS.0 0 a_1)) (Eq Xy_9 (skS.0 1 a_1 a_2))))
% 4.13/4.27 (Not (skS.0 3 a_1 a_2 a_3 a_4 (skS.0 0 a_1) (skS.0 1 a_1 a_2))) →
% 4.13/4.27 ∀ (Xx0 : b) (Xy0 : a), skS.0 3 a_1 a_2 a_3 a_4 Xx0 Xy0 → skS.0 2 a_1 a_2 a_3 Xx0 Xy0)
% 4.13/4.27 False
% 4.13/4.27 Clause #10 (by clausification #[9]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop),
% 4.13/4.30 Eq
% 4.13/4.30 (And
% 4.13/4.30 (∀ (Xx_0 : b) (Xy_9 : a),
% 4.13/4.30 skS.0 3 a_1 a_2 a_3 a_4 Xx_0 Xy_9 →
% 4.13/4.30 Or (skS.0 2 a_1 a_2 a_3 Xx_0 Xy_9) (And (Eq Xx_0 (skS.0 0 a_1)) (Eq Xy_9 (skS.0 1 a_1 a_2))))
% 4.13/4.30 (Not (skS.0 3 a_1 a_2 a_3 a_4 (skS.0 0 a_1) (skS.0 1 a_1 a_2))))
% 4.13/4.30 True
% 4.13/4.30 Clause #11 (by clausification #[9]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop),
% 4.13/4.30 Eq (∀ (Xx0 : b) (Xy0 : a), skS.0 3 a_1 a_2 a_3 a_4 Xx0 Xy0 → skS.0 2 a_1 a_2 a_3 Xx0 Xy0) False
% 4.13/4.30 Clause #12 (by clausification #[10]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop), Eq (Not (skS.0 3 a_1 a_2 a_3 a_4 (skS.0 0 a_1) (skS.0 1 a_1 a_2))) True
% 4.13/4.30 Clause #13 (by clausification #[10]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop),
% 4.13/4.30 Eq
% 4.13/4.30 (∀ (Xx_0 : b) (Xy_9 : a),
% 4.13/4.30 skS.0 3 a_1 a_2 a_3 a_4 Xx_0 Xy_9 →
% 4.13/4.30 Or (skS.0 2 a_1 a_2 a_3 Xx_0 Xy_9) (And (Eq Xx_0 (skS.0 0 a_1)) (Eq Xy_9 (skS.0 1 a_1 a_2))))
% 4.13/4.30 True
% 4.13/4.30 Clause #14 (by clausification #[12]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop), Eq (skS.0 3 a_1 a_2 a_3 a_4 (skS.0 0 a_1) (skS.0 1 a_1 a_2)) False
% 4.13/4.30 Clause #15 (by clausification #[11]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b),
% 4.13/4.30 Eq
% 4.13/4.30 (Not
% 4.13/4.30 (∀ (Xy0 : a),
% 4.13/4.30 skS.0 3 a_1 a_2 a_3 a_4 (skS.0 4 a_1 a_2 a_3 a_4 a_5) Xy0 →
% 4.13/4.30 skS.0 2 a_1 a_2 a_3 (skS.0 4 a_1 a_2 a_3 a_4 a_5) Xy0))
% 4.13/4.30 True
% 4.13/4.30 Clause #16 (by clausification #[15]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b),
% 4.13/4.30 Eq
% 4.13/4.30 (∀ (Xy0 : a),
% 4.13/4.30 skS.0 3 a_1 a_2 a_3 a_4 (skS.0 4 a_1 a_2 a_3 a_4 a_5) Xy0 → skS.0 2 a_1 a_2 a_3 (skS.0 4 a_1 a_2 a_3 a_4 a_5) Xy0)
% 4.13/4.30 False
% 4.13/4.30 Clause #17 (by clausification #[16]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b) (a_6 : a),
% 4.13/4.30 Eq
% 4.13/4.30 (Not
% 4.13/4.30 (skS.0 3 a_1 a_2 a_3 a_4 (skS.0 4 a_1 a_2 a_3 a_4 a_5) (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6) →
% 4.13/4.30 skS.0 2 a_1 a_2 a_3 (skS.0 4 a_1 a_2 a_3 a_4 a_5) (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6)))
% 4.13/4.30 True
% 4.13/4.30 Clause #18 (by clausification #[17]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b) (a_6 : a),
% 4.13/4.30 Eq
% 4.13/4.30 (skS.0 3 a_1 a_2 a_3 a_4 (skS.0 4 a_1 a_2 a_3 a_4 a_5) (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6) →
% 4.13/4.30 skS.0 2 a_1 a_2 a_3 (skS.0 4 a_1 a_2 a_3 a_4 a_5) (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6))
% 4.13/4.30 False
% 4.13/4.30 Clause #19 (by clausification #[18]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b) (a_6 : a),
% 4.13/4.30 Eq (skS.0 3 a_1 a_2 a_3 a_4 (skS.0 4 a_1 a_2 a_3 a_4 a_5) (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6)) True
% 4.13/4.30 Clause #20 (by clausification #[18]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b) (a_6 : a),
% 4.13/4.30 Eq (skS.0 2 a_1 a_2 a_3 (skS.0 4 a_1 a_2 a_3 a_4 a_5) (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6)) False
% 4.13/4.30 Clause #21 (by clausification #[13]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b),
% 4.13/4.30 Eq
% 4.13/4.30 (∀ (Xy_9 : a),
% 4.13/4.30 skS.0 3 a_1 a_2 a_3 a_4 a_5 Xy_9 →
% 4.13/4.30 Or (skS.0 2 a_1 a_2 a_3 a_5 Xy_9) (And (Eq a_5 (skS.0 0 a_1)) (Eq Xy_9 (skS.0 1 a_1 a_2))))
% 4.13/4.30 True
% 4.13/4.30 Clause #22 (by clausification #[21]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b) (a_6 : a),
% 4.13/4.30 Eq
% 4.13/4.30 (skS.0 3 a_1 a_2 a_3 a_4 a_5 a_6 →
% 4.13/4.30 Or (skS.0 2 a_1 a_2 a_3 a_5 a_6) (And (Eq a_5 (skS.0 0 a_1)) (Eq a_6 (skS.0 1 a_1 a_2))))
% 4.13/4.30 True
% 4.13/4.30 Clause #23 (by clausification #[22]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b) (a_6 : a),
% 4.13/4.30 Or (Eq (skS.0 3 a_1 a_2 a_3 a_4 a_5 a_6) False)
% 4.13/4.30 (Eq (Or (skS.0 2 a_1 a_2 a_3 a_5 a_6) (And (Eq a_5 (skS.0 0 a_1)) (Eq a_6 (skS.0 1 a_1 a_2)))) True)
% 4.13/4.30 Clause #24 (by clausification #[23]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b) (a_6 : a),
% 4.13/4.30 Or (Eq (skS.0 3 a_1 a_2 a_3 a_4 a_5 a_6) False)
% 4.13/4.30 (Or (Eq (skS.0 2 a_1 a_2 a_3 a_5 a_6) True) (Eq (And (Eq a_5 (skS.0 0 a_1)) (Eq a_6 (skS.0 1 a_1 a_2))) True))
% 4.13/4.30 Clause #25 (by clausification #[24]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b) (a_6 : a),
% 4.13/4.30 Or (Eq (skS.0 3 a_1 a_2 a_3 a_4 a_5 a_6) False)
% 4.13/4.30 (Or (Eq (skS.0 2 a_1 a_2 a_3 a_5 a_6) True) (Eq (Eq a_6 (skS.0 1 a_1 a_2)) True))
% 4.13/4.30 Clause #26 (by clausification #[24]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b) (a_6 : a),
% 4.13/4.32 Or (Eq (skS.0 3 a_1 a_2 a_3 a_4 a_5 a_6) False)
% 4.13/4.32 (Or (Eq (skS.0 2 a_1 a_2 a_3 a_5 a_6) True) (Eq (Eq a_5 (skS.0 0 a_1)) True))
% 4.13/4.32 Clause #27 (by clausification #[25]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b) (a_6 : a),
% 4.13/4.32 Or (Eq (skS.0 3 a_1 a_2 a_3 a_4 a_5 a_6) False)
% 4.13/4.32 (Or (Eq (skS.0 2 a_1 a_2 a_3 a_5 a_6) True) (Eq a_6 (skS.0 1 a_1 a_2)))
% 4.13/4.32 Clause #28 (by superposition #[27, 19]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b) (a_6 : a),
% 4.13/4.32 Or
% 4.13/4.32 (Eq (skS.0 2 a_1 a_2 (fun x x_1 => a_3 x x_1) (skS.0 4 a_1 a_2 a_3 a_4 a_5) (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6)) True)
% 4.13/4.32 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 1 a_1 a_2)) (Eq False True))
% 4.13/4.32 Clause #29 (by clausification #[26]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b) (a_6 : a),
% 4.13/4.32 Or (Eq (skS.0 3 a_1 a_2 a_3 a_4 a_5 a_6) False) (Or (Eq (skS.0 2 a_1 a_2 a_3 a_5 a_6) True) (Eq a_5 (skS.0 0 a_1)))
% 4.13/4.32 Clause #31 (by betaEtaReduce #[28]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b) (a_6 : a),
% 4.13/4.32 Or (Eq (skS.0 2 a_1 a_2 a_3 (skS.0 4 a_1 a_2 a_3 a_4 a_5) (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6)) True)
% 4.13/4.32 (Or (Eq (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 1 a_1 a_2)) (Eq False True))
% 4.13/4.32 Clause #32 (by clausification #[31]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b) (a_6 : a),
% 4.13/4.32 Or (Eq (skS.0 2 a_1 a_2 a_3 (skS.0 4 a_1 a_2 a_3 a_4 a_5) (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6)) True)
% 4.13/4.32 (Eq (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 1 a_1 a_2))
% 4.13/4.32 Clause #33 (by superposition #[32, 20]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b) (a_6 : a),
% 4.13/4.32 Or (Eq (skS.0 5 a_1 a_2 (fun x x_1 => a_3 x x_1) (fun x x_1 => a_4 x x_1) a_5 a_6) (skS.0 1 a_1 a_2)) (Eq True False)
% 4.13/4.32 Clause #34 (by betaEtaReduce #[33]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b) (a_6 : a),
% 4.13/4.32 Or (Eq (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 1 a_1 a_2)) (Eq True False)
% 4.13/4.32 Clause #35 (by clausification #[34]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b) (a_6 : a),
% 4.13/4.32 Eq (skS.0 5 a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 1 a_1 a_2)
% 4.13/4.32 Clause #36 (by backward demodulation #[35, 19]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b),
% 4.13/4.32 Eq (skS.0 3 a_1 a_2 a_3 a_4 (skS.0 4 a_1 a_2 a_3 a_4 a_5) (skS.0 1 a_1 a_2)) True
% 4.13/4.32 Clause #37 (by backward demodulation #[35, 20]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b),
% 4.13/4.32 Eq (skS.0 2 a_1 a_2 a_3 (skS.0 4 a_1 a_2 a_3 a_4 a_5) (skS.0 1 a_1 a_2)) False
% 4.13/4.32 Clause #39 (by superposition #[36, 29]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b),
% 4.13/4.32 Or (Eq True False)
% 4.13/4.32 (Or (Eq (skS.0 2 a_1 a_2 a_3 (skS.0 4 a_1 a_2 a_3 a_4 a_5) (skS.0 1 a_1 a_2)) True)
% 4.13/4.32 (Eq (skS.0 4 a_1 a_2 a_3 a_4 a_5) (skS.0 0 a_1)))
% 4.13/4.32 Clause #40 (by clausification #[39]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b),
% 4.13/4.32 Or (Eq (skS.0 2 a_1 a_2 a_3 (skS.0 4 a_1 a_2 a_3 a_4 a_5) (skS.0 1 a_1 a_2)) True)
% 4.13/4.32 (Eq (skS.0 4 a_1 a_2 a_3 a_4 a_5) (skS.0 0 a_1))
% 4.13/4.32 Clause #41 (by superposition #[40, 37]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b),
% 4.13/4.32 Or (Eq (skS.0 4 a_1 a_2 (fun x x_1 => a_3 x x_1) (fun x x_1 => a_4 x x_1) a_5) (skS.0 0 a_1)) (Eq True False)
% 4.13/4.32 Clause #42 (by betaEtaReduce #[41]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b),
% 4.13/4.32 Or (Eq (skS.0 4 a_1 a_2 a_3 a_4 a_5) (skS.0 0 a_1)) (Eq True False)
% 4.13/4.32 Clause #43 (by clausification #[42]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop) (a_5 : b), Eq (skS.0 4 a_1 a_2 a_3 a_4 a_5) (skS.0 0 a_1)
% 4.13/4.32 Clause #45 (by backward demodulation #[43, 36]): ∀ (a_1 : b) (a_2 : a) (a_3 a_4 : b → a → Prop), Eq (skS.0 3 a_1 a_2 a_3 a_4 (skS.0 0 a_1) (skS.0 1 a_1 a_2)) True
% 4.13/4.32 Clause #49 (by superposition #[45, 14]): Eq True False
% 4.13/4.32 Clause #50 (by clausification #[49]): False
% 4.13/4.32 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------