TSTP Solution File: SEV013^5 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEV013^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n025.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 19:24:02 EDT 2023
% Result : Theorem 3.61s 3.79s
% Output : Proof 3.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV013^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n025.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 : Thu Aug 24 03:55:51 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.61/3.79 SZS status Theorem for theBenchmark.p
% 3.61/3.79 SZS output start Proof for theBenchmark.p
% 3.61/3.79 Clause #0 (by assumption #[]): Eq
% 3.61/3.79 (Not
% 3.61/3.79 (And (And (∀ (Xx : a), Eq Xx Xx) (∀ (Xx Xy : a), Eq Xx Xy → Eq Xy Xx))
% 3.61/3.79 (∀ (Xx Xy Xz : a), And (Eq Xx Xy) (Eq Xy Xz) → Eq Xx Xz)))
% 3.61/3.79 True
% 3.61/3.79 Clause #1 (by clausification #[0]): Eq
% 3.61/3.79 (And (And (∀ (Xx : a), Eq Xx Xx) (∀ (Xx Xy : a), Eq Xx Xy → Eq Xy Xx))
% 3.61/3.79 (∀ (Xx Xy Xz : a), And (Eq Xx Xy) (Eq Xy Xz) → Eq Xx Xz))
% 3.61/3.79 False
% 3.61/3.79 Clause #2 (by clausification #[1]): Or (Eq (And (∀ (Xx : a), Eq Xx Xx) (∀ (Xx Xy : a), Eq Xx Xy → Eq Xy Xx)) False)
% 3.61/3.79 (Eq (∀ (Xx Xy Xz : a), And (Eq Xx Xy) (Eq Xy Xz) → Eq Xx Xz) False)
% 3.61/3.79 Clause #3 (by clausification #[2]): Or (Eq (∀ (Xx Xy Xz : a), And (Eq Xx Xy) (Eq Xy Xz) → Eq Xx Xz) False)
% 3.61/3.79 (Or (Eq (∀ (Xx : a), Eq Xx Xx) False) (Eq (∀ (Xx Xy : a), Eq Xx Xy → Eq Xy Xx) False))
% 3.61/3.79 Clause #4 (by clausification #[3]): ∀ (a_1 : a),
% 3.61/3.79 Or (Eq (∀ (Xx : a), Eq Xx Xx) False)
% 3.61/3.79 (Or (Eq (∀ (Xx Xy : a), Eq Xx Xy → Eq Xy Xx) False)
% 3.61/3.79 (Eq (Not (∀ (Xy Xz : a), And (Eq (skS.0 0 a_1) Xy) (Eq Xy Xz) → Eq (skS.0 0 a_1) Xz)) True))
% 3.61/3.79 Clause #5 (by clausification #[4]): ∀ (a_1 a_2 : a),
% 3.61/3.79 Or (Eq (∀ (Xx Xy : a), Eq Xx Xy → Eq Xy Xx) False)
% 3.61/3.79 (Or (Eq (Not (∀ (Xy Xz : a), And (Eq (skS.0 0 a_1) Xy) (Eq Xy Xz) → Eq (skS.0 0 a_1) Xz)) True)
% 3.61/3.79 (Eq (Not (Eq (skS.0 1 a_2) (skS.0 1 a_2))) True))
% 3.61/3.79 Clause #6 (by clausification #[5]): ∀ (a_1 a_2 a_3 : a),
% 3.61/3.79 Or (Eq (Not (∀ (Xy Xz : a), And (Eq (skS.0 0 a_1) Xy) (Eq Xy Xz) → Eq (skS.0 0 a_1) Xz)) True)
% 3.61/3.79 (Or (Eq (Not (Eq (skS.0 1 a_2) (skS.0 1 a_2))) True)
% 3.61/3.79 (Eq (Not (∀ (Xy : a), Eq (skS.0 2 a_3) Xy → Eq Xy (skS.0 2 a_3))) True))
% 3.61/3.79 Clause #7 (by clausification #[6]): ∀ (a_1 a_2 a_3 : a),
% 3.61/3.79 Or (Eq (Not (Eq (skS.0 1 a_1) (skS.0 1 a_1))) True)
% 3.61/3.79 (Or (Eq (Not (∀ (Xy : a), Eq (skS.0 2 a_2) Xy → Eq Xy (skS.0 2 a_2))) True)
% 3.61/3.79 (Eq (∀ (Xy Xz : a), And (Eq (skS.0 0 a_3) Xy) (Eq Xy Xz) → Eq (skS.0 0 a_3) Xz) False))
% 3.61/3.79 Clause #8 (by clausification #[7]): ∀ (a_1 a_2 a_3 : a),
% 3.61/3.79 Or (Eq (Not (∀ (Xy : a), Eq (skS.0 2 a_1) Xy → Eq Xy (skS.0 2 a_1))) True)
% 3.61/3.79 (Or (Eq (∀ (Xy Xz : a), And (Eq (skS.0 0 a_2) Xy) (Eq Xy Xz) → Eq (skS.0 0 a_2) Xz) False)
% 3.61/3.79 (Eq (Eq (skS.0 1 a_3) (skS.0 1 a_3)) False))
% 3.61/3.79 Clause #9 (by clausification #[8]): ∀ (a_1 a_2 a_3 : a),
% 3.61/3.79 Or (Eq (∀ (Xy Xz : a), And (Eq (skS.0 0 a_1) Xy) (Eq Xy Xz) → Eq (skS.0 0 a_1) Xz) False)
% 3.61/3.79 (Or (Eq (Eq (skS.0 1 a_2) (skS.0 1 a_2)) False) (Eq (∀ (Xy : a), Eq (skS.0 2 a_3) Xy → Eq Xy (skS.0 2 a_3)) False))
% 3.61/3.79 Clause #10 (by clausification #[9]): ∀ (a_1 a_2 a_3 a_4 : a),
% 3.61/3.79 Or (Eq (Eq (skS.0 1 a_1) (skS.0 1 a_1)) False)
% 3.61/3.79 (Or (Eq (∀ (Xy : a), Eq (skS.0 2 a_2) Xy → Eq Xy (skS.0 2 a_2)) False)
% 3.61/3.79 (Eq (Not (∀ (Xz : a), And (Eq (skS.0 0 a_3) (skS.0 3 a_3 a_4)) (Eq (skS.0 3 a_3 a_4) Xz) → Eq (skS.0 0 a_3) Xz))
% 3.61/3.79 True))
% 3.61/3.79 Clause #11 (by clausification #[10]): ∀ (a_1 a_2 a_3 a_4 : a),
% 3.61/3.79 Or (Eq (∀ (Xy : a), Eq (skS.0 2 a_1) Xy → Eq Xy (skS.0 2 a_1)) False)
% 3.61/3.79 (Or
% 3.61/3.79 (Eq (Not (∀ (Xz : a), And (Eq (skS.0 0 a_2) (skS.0 3 a_2 a_3)) (Eq (skS.0 3 a_2 a_3) Xz) → Eq (skS.0 0 a_2) Xz))
% 3.61/3.79 True)
% 3.61/3.79 (Ne (skS.0 1 a_4) (skS.0 1 a_4)))
% 3.61/3.79 Clause #12 (by clausification #[11]): ∀ (a_1 a_2 a_3 a_4 a_5 : a),
% 3.61/3.79 Or
% 3.61/3.79 (Eq (Not (∀ (Xz : a), And (Eq (skS.0 0 a_1) (skS.0 3 a_1 a_2)) (Eq (skS.0 3 a_1 a_2) Xz) → Eq (skS.0 0 a_1) Xz))
% 3.61/3.79 True)
% 3.61/3.79 (Or (Ne (skS.0 1 a_3) (skS.0 1 a_3))
% 3.61/3.79 (Eq (Not (Eq (skS.0 2 a_4) (skS.0 4 a_4 a_5) → Eq (skS.0 4 a_4 a_5) (skS.0 2 a_4))) True))
% 3.61/3.79 Clause #13 (by clausification #[12]): ∀ (a_1 a_2 a_3 a_4 a_5 : a),
% 3.61/3.79 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1))
% 3.61/3.79 (Or (Eq (Not (Eq (skS.0 2 a_2) (skS.0 4 a_2 a_3) → Eq (skS.0 4 a_2 a_3) (skS.0 2 a_2))) True)
% 3.61/3.79 (Eq (∀ (Xz : a), And (Eq (skS.0 0 a_4) (skS.0 3 a_4 a_5)) (Eq (skS.0 3 a_4 a_5) Xz) → Eq (skS.0 0 a_4) Xz) False))
% 3.61/3.79 Clause #14 (by clausification #[13]): ∀ (a_1 a_2 a_3 a_4 a_5 : a),
% 3.61/3.79 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1))
% 3.61/3.79 (Or
% 3.61/3.79 (Eq (∀ (Xz : a), And (Eq (skS.0 0 a_2) (skS.0 3 a_2 a_3)) (Eq (skS.0 3 a_2 a_3) Xz) → Eq (skS.0 0 a_2) Xz) False)
% 3.61/3.82 (Eq (Eq (skS.0 2 a_4) (skS.0 4 a_4 a_5) → Eq (skS.0 4 a_4 a_5) (skS.0 2 a_4)) False))
% 3.61/3.82 Clause #15 (by clausification #[14]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 3.61/3.82 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1))
% 3.61/3.82 (Or (Eq (Eq (skS.0 2 a_2) (skS.0 4 a_2 a_3) → Eq (skS.0 4 a_2 a_3) (skS.0 2 a_2)) False)
% 3.61/3.82 (Eq
% 3.61/3.82 (Not
% 3.61/3.82 (And (Eq (skS.0 0 a_4) (skS.0 3 a_4 a_5)) (Eq (skS.0 3 a_4 a_5) (skS.0 5 a_4 a_5 a_6)) →
% 3.61/3.82 Eq (skS.0 0 a_4) (skS.0 5 a_4 a_5 a_6)))
% 3.61/3.82 True))
% 3.61/3.82 Clause #16 (by clausification #[15]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 3.61/3.82 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1))
% 3.61/3.82 (Or
% 3.61/3.82 (Eq
% 3.61/3.82 (Not
% 3.61/3.82 (And (Eq (skS.0 0 a_2) (skS.0 3 a_2 a_3)) (Eq (skS.0 3 a_2 a_3) (skS.0 5 a_2 a_3 a_4)) →
% 3.61/3.82 Eq (skS.0 0 a_2) (skS.0 5 a_2 a_3 a_4)))
% 3.61/3.82 True)
% 3.61/3.82 (Eq (Eq (skS.0 2 a_5) (skS.0 4 a_5 a_6)) True))
% 3.61/3.82 Clause #17 (by clausification #[15]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 3.61/3.82 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1))
% 3.61/3.82 (Or
% 3.61/3.82 (Eq
% 3.61/3.82 (Not
% 3.61/3.82 (And (Eq (skS.0 0 a_2) (skS.0 3 a_2 a_3)) (Eq (skS.0 3 a_2 a_3) (skS.0 5 a_2 a_3 a_4)) →
% 3.61/3.82 Eq (skS.0 0 a_2) (skS.0 5 a_2 a_3 a_4)))
% 3.61/3.82 True)
% 3.61/3.82 (Eq (Eq (skS.0 4 a_5 a_6) (skS.0 2 a_5)) False))
% 3.61/3.82 Clause #18 (by clausification #[16]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 3.61/3.82 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1))
% 3.61/3.82 (Or (Eq (Eq (skS.0 2 a_2) (skS.0 4 a_2 a_3)) True)
% 3.61/3.82 (Eq
% 3.61/3.82 (And (Eq (skS.0 0 a_4) (skS.0 3 a_4 a_5)) (Eq (skS.0 3 a_4 a_5) (skS.0 5 a_4 a_5 a_6)) →
% 3.61/3.82 Eq (skS.0 0 a_4) (skS.0 5 a_4 a_5 a_6))
% 3.61/3.82 False))
% 3.61/3.82 Clause #19 (by clausification #[18]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 3.61/3.82 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1))
% 3.61/3.82 (Or
% 3.61/3.82 (Eq
% 3.61/3.82 (And (Eq (skS.0 0 a_2) (skS.0 3 a_2 a_3)) (Eq (skS.0 3 a_2 a_3) (skS.0 5 a_2 a_3 a_4)) →
% 3.61/3.82 Eq (skS.0 0 a_2) (skS.0 5 a_2 a_3 a_4))
% 3.61/3.82 False)
% 3.61/3.82 (Eq (skS.0 2 a_5) (skS.0 4 a_5 a_6)))
% 3.61/3.82 Clause #20 (by clausification #[19]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 3.61/3.82 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1))
% 3.61/3.82 (Or (Eq (skS.0 2 a_2) (skS.0 4 a_2 a_3))
% 3.61/3.82 (Eq (And (Eq (skS.0 0 a_4) (skS.0 3 a_4 a_5)) (Eq (skS.0 3 a_4 a_5) (skS.0 5 a_4 a_5 a_6))) True))
% 3.61/3.82 Clause #21 (by clausification #[19]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 3.61/3.82 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1))
% 3.61/3.82 (Or (Eq (skS.0 2 a_2) (skS.0 4 a_2 a_3)) (Eq (Eq (skS.0 0 a_4) (skS.0 5 a_4 a_5 a_6)) False))
% 3.61/3.82 Clause #22 (by clausification #[20]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 3.61/3.82 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1))
% 3.61/3.82 (Or (Eq (skS.0 2 a_2) (skS.0 4 a_2 a_3)) (Eq (Eq (skS.0 3 a_4 a_5) (skS.0 5 a_4 a_5 a_6)) True))
% 3.61/3.82 Clause #23 (by clausification #[20]): ∀ (a_1 a_2 a_3 a_4 a_5 : a),
% 3.61/3.82 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1))
% 3.61/3.82 (Or (Eq (skS.0 2 a_2) (skS.0 4 a_2 a_3)) (Eq (Eq (skS.0 0 a_4) (skS.0 3 a_4 a_5)) True))
% 3.61/3.82 Clause #24 (by clausification #[22]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 3.61/3.82 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1))
% 3.61/3.82 (Or (Eq (skS.0 2 a_2) (skS.0 4 a_2 a_3)) (Eq (skS.0 3 a_4 a_5) (skS.0 5 a_4 a_5 a_6)))
% 3.61/3.82 Clause #25 (by eliminate resolved literals #[24]): ∀ (a_1 a_2 a_3 a_4 a_5 : a), Or (Eq (skS.0 2 a_1) (skS.0 4 a_1 a_2)) (Eq (skS.0 3 a_3 a_4) (skS.0 5 a_3 a_4 a_5))
% 3.61/3.82 Clause #26 (by clausification #[23]): ∀ (a_1 a_2 a_3 a_4 a_5 : a),
% 3.61/3.82 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) (Or (Eq (skS.0 2 a_2) (skS.0 4 a_2 a_3)) (Eq (skS.0 0 a_4) (skS.0 3 a_4 a_5)))
% 3.61/3.82 Clause #27 (by eliminate resolved literals #[26]): ∀ (a_1 a_2 a_3 a_4 : a), Or (Eq (skS.0 2 a_1) (skS.0 4 a_1 a_2)) (Eq (skS.0 0 a_3) (skS.0 3 a_3 a_4))
% 3.61/3.82 Clause #28 (by clausification #[21]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 3.61/3.82 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) (Or (Eq (skS.0 2 a_2) (skS.0 4 a_2 a_3)) (Ne (skS.0 0 a_4) (skS.0 5 a_4 a_5 a_6)))
% 3.61/3.82 Clause #29 (by eliminate resolved literals #[28]): ∀ (a_1 a_2 a_3 a_4 a_5 : a), Or (Eq (skS.0 2 a_1) (skS.0 4 a_1 a_2)) (Ne (skS.0 0 a_3) (skS.0 5 a_3 a_4 a_5))
% 3.61/3.82 Clause #30 (by superposition #[29, 25]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 3.61/3.82 Or (Eq (skS.0 2 a_1) (skS.0 4 a_1 a_2)) (Or (Eq (skS.0 2 a_3) (skS.0 4 a_3 a_4)) (Ne (skS.0 0 a_5) (skS.0 3 a_5 a_6)))
% 3.61/3.82 Clause #31 (by forward contextual literal cutting #[30, 27]): ∀ (a_1 a_2 a_3 a_4 : a), Or (Eq (skS.0 2 a_1) (skS.0 4 a_1 a_2)) (Eq (skS.0 2 a_3) (skS.0 4 a_3 a_4))
% 3.68/3.84 Clause #32 (by equality factoring #[31]): ∀ (a_1 a_2 : a), Or (Ne (skS.0 2 a_1) (skS.0 2 a_1)) (Eq (skS.0 2 a_1) (skS.0 4 a_1 a_2))
% 3.68/3.84 Clause #33 (by eliminate resolved literals #[32]): ∀ (a_1 a_2 : a), Eq (skS.0 2 a_1) (skS.0 4 a_1 a_2)
% 3.68/3.84 Clause #34 (by clausification #[17]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 3.68/3.84 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1))
% 3.68/3.84 (Or (Eq (Eq (skS.0 4 a_2 a_3) (skS.0 2 a_2)) False)
% 3.68/3.84 (Eq
% 3.68/3.84 (And (Eq (skS.0 0 a_4) (skS.0 3 a_4 a_5)) (Eq (skS.0 3 a_4 a_5) (skS.0 5 a_4 a_5 a_6)) →
% 3.68/3.84 Eq (skS.0 0 a_4) (skS.0 5 a_4 a_5 a_6))
% 3.68/3.84 False))
% 3.68/3.84 Clause #35 (by clausification #[34]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 3.68/3.84 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1))
% 3.68/3.84 (Or
% 3.68/3.84 (Eq
% 3.68/3.84 (And (Eq (skS.0 0 a_2) (skS.0 3 a_2 a_3)) (Eq (skS.0 3 a_2 a_3) (skS.0 5 a_2 a_3 a_4)) →
% 3.68/3.84 Eq (skS.0 0 a_2) (skS.0 5 a_2 a_3 a_4))
% 3.68/3.84 False)
% 3.68/3.84 (Ne (skS.0 4 a_5 a_6) (skS.0 2 a_5)))
% 3.68/3.84 Clause #36 (by clausification #[35]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 3.68/3.84 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1))
% 3.68/3.84 (Or (Ne (skS.0 4 a_2 a_3) (skS.0 2 a_2))
% 3.68/3.84 (Eq (And (Eq (skS.0 0 a_4) (skS.0 3 a_4 a_5)) (Eq (skS.0 3 a_4 a_5) (skS.0 5 a_4 a_5 a_6))) True))
% 3.68/3.84 Clause #37 (by clausification #[35]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 3.68/3.84 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1))
% 3.68/3.84 (Or (Ne (skS.0 4 a_2 a_3) (skS.0 2 a_2)) (Eq (Eq (skS.0 0 a_4) (skS.0 5 a_4 a_5 a_6)) False))
% 3.68/3.84 Clause #38 (by clausification #[36]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 3.68/3.84 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1))
% 3.68/3.84 (Or (Ne (skS.0 4 a_2 a_3) (skS.0 2 a_2)) (Eq (Eq (skS.0 3 a_4 a_5) (skS.0 5 a_4 a_5 a_6)) True))
% 3.68/3.84 Clause #39 (by clausification #[36]): ∀ (a_1 a_2 a_3 a_4 a_5 : a),
% 3.68/3.84 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1))
% 3.68/3.84 (Or (Ne (skS.0 4 a_2 a_3) (skS.0 2 a_2)) (Eq (Eq (skS.0 0 a_4) (skS.0 3 a_4 a_5)) True))
% 3.68/3.84 Clause #40 (by clausification #[38]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 3.68/3.84 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1))
% 3.68/3.84 (Or (Ne (skS.0 4 a_2 a_3) (skS.0 2 a_2)) (Eq (skS.0 3 a_4 a_5) (skS.0 5 a_4 a_5 a_6)))
% 3.68/3.84 Clause #41 (by eliminate resolved literals #[40]): ∀ (a_1 a_2 a_3 a_4 a_5 : a), Or (Ne (skS.0 4 a_1 a_2) (skS.0 2 a_1)) (Eq (skS.0 3 a_3 a_4) (skS.0 5 a_3 a_4 a_5))
% 3.68/3.84 Clause #42 (by forward demodulation #[41, 33]): ∀ (a_1 a_2 a_3 a_4 : a), Or (Ne (skS.0 2 a_1) (skS.0 2 a_1)) (Eq (skS.0 3 a_2 a_3) (skS.0 5 a_2 a_3 a_4))
% 3.68/3.84 Clause #43 (by eliminate resolved literals #[42]): ∀ (a_1 a_2 a_3 : a), Eq (skS.0 3 a_1 a_2) (skS.0 5 a_1 a_2 a_3)
% 3.68/3.84 Clause #44 (by clausification #[39]): ∀ (a_1 a_2 a_3 a_4 a_5 : a),
% 3.68/3.84 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) (Or (Ne (skS.0 4 a_2 a_3) (skS.0 2 a_2)) (Eq (skS.0 0 a_4) (skS.0 3 a_4 a_5)))
% 3.68/3.84 Clause #45 (by eliminate resolved literals #[44]): ∀ (a_1 a_2 a_3 a_4 : a), Or (Ne (skS.0 4 a_1 a_2) (skS.0 2 a_1)) (Eq (skS.0 0 a_3) (skS.0 3 a_3 a_4))
% 3.68/3.84 Clause #46 (by forward demodulation #[45, 33]): ∀ (a_1 a_2 a_3 : a), Or (Ne (skS.0 2 a_1) (skS.0 2 a_1)) (Eq (skS.0 0 a_2) (skS.0 3 a_2 a_3))
% 3.68/3.84 Clause #47 (by eliminate resolved literals #[46]): ∀ (a_1 a_2 : a), Eq (skS.0 0 a_1) (skS.0 3 a_1 a_2)
% 3.68/3.84 Clause #48 (by backward demodulation #[47, 43]): ∀ (a_1 a_2 a_3 : a), Eq (skS.0 0 a_1) (skS.0 5 a_1 a_2 a_3)
% 3.68/3.84 Clause #49 (by clausification #[37]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a),
% 3.68/3.84 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) (Or (Ne (skS.0 4 a_2 a_3) (skS.0 2 a_2)) (Ne (skS.0 0 a_4) (skS.0 5 a_4 a_5 a_6)))
% 3.68/3.84 Clause #50 (by eliminate resolved literals #[49]): ∀ (a_1 a_2 a_3 a_4 a_5 : a), Or (Ne (skS.0 4 a_1 a_2) (skS.0 2 a_1)) (Ne (skS.0 0 a_3) (skS.0 5 a_3 a_4 a_5))
% 3.68/3.84 Clause #51 (by forward demodulation #[50, 33]): ∀ (a_1 a_2 a_3 a_4 : a), Or (Ne (skS.0 2 a_1) (skS.0 2 a_1)) (Ne (skS.0 0 a_2) (skS.0 5 a_2 a_3 a_4))
% 3.68/3.84 Clause #52 (by eliminate resolved literals #[51]): ∀ (a_1 a_2 a_3 : a), Ne (skS.0 0 a_1) (skS.0 5 a_1 a_2 a_3)
% 3.68/3.84 Clause #53 (by forward demodulation #[52, 48]): ∀ (a_1 : a), Ne (skS.0 0 a_1) (skS.0 0 a_1)
% 3.68/3.84 Clause #54 (by eliminate resolved literals #[53]): False
% 3.68/3.84 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------