%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEV013^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n023.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 : Fri Oct 3 08:02:44 PM UTC 2025 % Result : Theorem 3.40s 3.60s % Output : Proof 3.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SEV013^5 : TPTP v9.2.0. Released v4.0.0. % 0.04/0.14 % Command : duper %s % 0.14/0.34 % Computer : n023.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Fri Oct 3 01:44:38 EDT 2025 % 0.14/0.34 % CPUTime : % 3.40/3.60 SZS status Theorem for theBenchmark.p % 3.40/3.60 SZS output start Proof for theBenchmark.p % 3.40/3.60 Clause #0 (by assumption #[]): Eq % 3.40/3.60 (Not % 3.40/3.60 (And (And (∀ (Xx : a), Eq Xx Xx) (∀ (Xx Xy : a), Eq Xx Xy → Eq Xy Xx)) % 3.40/3.60 (∀ (Xx Xy Xz : a), And (Eq Xx Xy) (Eq Xy Xz) → Eq Xx Xz))) % 3.40/3.60 True % 3.40/3.60 Clause #1 (by clausification #[0]): Eq % 3.40/3.60 (And (And (∀ (Xx : a), Eq Xx Xx) (∀ (Xx Xy : a), Eq Xx Xy → Eq Xy Xx)) % 3.40/3.60 (∀ (Xx Xy Xz : a), And (Eq Xx Xy) (Eq Xy Xz) → Eq Xx Xz)) % 3.40/3.60 False % 3.40/3.60 Clause #2 (by clausification #[1]): Or (Eq (And (∀ (Xx : a), Eq Xx Xx) (∀ (Xx Xy : a), Eq Xx Xy → Eq Xy Xx)) False) % 3.40/3.60 (Eq (∀ (Xx Xy Xz : a), And (Eq Xx Xy) (Eq Xy Xz) → Eq Xx Xz) False) % 3.40/3.60 Clause #3 (by clausification #[2]): Or (Eq (∀ (Xx Xy Xz : a), And (Eq Xx Xy) (Eq Xy Xz) → Eq Xx Xz) False) % 3.40/3.60 (Or (Eq (∀ (Xx : a), Eq Xx Xx) False) (Eq (∀ (Xx Xy : a), Eq Xx Xy → Eq Xy Xx) False)) % 3.40/3.60 Clause #4 (by clausification #[3]): ∀ (a_1 : a), % 3.40/3.60 Or (Eq (∀ (Xx : a), Eq Xx Xx) False) % 3.40/3.60 (Or (Eq (∀ (Xx Xy : a), Eq Xx Xy → Eq Xy Xx) False) % 3.40/3.60 (Eq (Not (∀ (Xy Xz : a), And (Eq (skS.0 0 a_1) Xy) (Eq Xy Xz) → Eq (skS.0 0 a_1) Xz)) True)) % 3.40/3.60 Clause #5 (by clausification #[4]): ∀ (a_1 a_2 : a), % 3.40/3.60 Or (Eq (∀ (Xx Xy : a), Eq Xx Xy → Eq Xy Xx) False) % 3.40/3.60 (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) % 3.40/3.60 (Eq (Not (Eq (skS.0 1 a_2) (skS.0 1 a_2))) True)) % 3.40/3.60 Clause #6 (by clausification #[5]): ∀ (a_1 a_2 a_3 : a), % 3.40/3.60 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) % 3.40/3.60 (Or (Eq (Not (Eq (skS.0 1 a_2) (skS.0 1 a_2))) True) % 3.40/3.60 (Eq (Not (∀ (Xy : a), Eq (skS.0 2 a_3) Xy → Eq Xy (skS.0 2 a_3))) True)) % 3.40/3.60 Clause #7 (by clausification #[6]): ∀ (a_1 a_2 a_3 : a), % 3.40/3.60 Or (Eq (Not (Eq (skS.0 1 a_1) (skS.0 1 a_1))) True) % 3.40/3.60 (Or (Eq (Not (∀ (Xy : a), Eq (skS.0 2 a_2) Xy → Eq Xy (skS.0 2 a_2))) True) % 3.40/3.60 (Eq (∀ (Xy Xz : a), And (Eq (skS.0 0 a_3) Xy) (Eq Xy Xz) → Eq (skS.0 0 a_3) Xz) False)) % 3.40/3.60 Clause #8 (by clausification #[7]): ∀ (a_1 a_2 a_3 : a), % 3.40/3.60 Or (Eq (Not (∀ (Xy : a), Eq (skS.0 2 a_1) Xy → Eq Xy (skS.0 2 a_1))) True) % 3.40/3.60 (Or (Eq (∀ (Xy Xz : a), And (Eq (skS.0 0 a_2) Xy) (Eq Xy Xz) → Eq (skS.0 0 a_2) Xz) False) % 3.40/3.60 (Eq (Eq (skS.0 1 a_3) (skS.0 1 a_3)) False)) % 3.40/3.60 Clause #9 (by clausification #[8]): ∀ (a_1 a_2 a_3 : a), % 3.40/3.60 Or (Eq (∀ (Xy Xz : a), And (Eq (skS.0 0 a_1) Xy) (Eq Xy Xz) → Eq (skS.0 0 a_1) Xz) False) % 3.40/3.60 (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)) % 3.40/3.60 Clause #10 (by clausification #[9]): ∀ (a_1 a_2 a_3 a_4 : a), % 3.40/3.60 Or (Eq (Eq (skS.0 1 a_1) (skS.0 1 a_1)) False) % 3.40/3.60 (Or (Eq (∀ (Xy : a), Eq (skS.0 2 a_2) Xy → Eq Xy (skS.0 2 a_2)) False) % 3.40/3.60 (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)) % 3.40/3.60 True)) % 3.40/3.60 Clause #11 (by clausification #[10]): ∀ (a_1 a_2 a_3 a_4 : a), % 3.40/3.60 Or (Eq (∀ (Xy : a), Eq (skS.0 2 a_1) Xy → Eq Xy (skS.0 2 a_1)) False) % 3.40/3.60 (Or % 3.40/3.60 (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)) % 3.40/3.60 True) % 3.40/3.60 (Ne (skS.0 1 a_4) (skS.0 1 a_4))) % 3.40/3.60 Clause #12 (by clausification #[11]): ∀ (a_1 a_2 a_3 a_4 a_5 : a), % 3.40/3.60 Or % 3.40/3.60 (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)) % 3.40/3.60 True) % 3.40/3.60 (Or (Ne (skS.0 1 a_3) (skS.0 1 a_3)) % 3.40/3.60 (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)) % 3.40/3.60 Clause #13 (by clausification #[12]): ∀ (a_1 a_2 a_3 a_4 a_5 : a), % 3.40/3.60 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) % 3.40/3.60 (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) % 3.40/3.60 (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)) % 3.40/3.60 Clause #14 (by clausification #[13]): ∀ (a_1 a_2 a_3 a_4 a_5 : a), % 3.40/3.60 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) % 3.40/3.60 (Or % 3.40/3.60 (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) % 3.46/3.62 (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)) % 3.46/3.62 Clause #15 (by clausification #[14]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a), % 3.46/3.62 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) % 3.46/3.62 (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) % 3.46/3.62 (Eq % 3.46/3.62 (Not % 3.46/3.62 (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)) → % 3.46/3.62 Eq (skS.0 0 a_4) (skS.0 5 a_4 a_5 a_6))) % 3.46/3.62 True)) % 3.46/3.62 Clause #16 (by clausification #[15]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a), % 3.46/3.62 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) % 3.46/3.62 (Or % 3.46/3.62 (Eq % 3.46/3.62 (Not % 3.46/3.62 (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)) → % 3.46/3.62 Eq (skS.0 0 a_2) (skS.0 5 a_2 a_3 a_4))) % 3.46/3.62 True) % 3.46/3.62 (Eq (Eq (skS.0 2 a_5) (skS.0 4 a_5 a_6)) True)) % 3.46/3.62 Clause #17 (by clausification #[15]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a), % 3.46/3.62 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) % 3.46/3.62 (Or % 3.46/3.62 (Eq % 3.46/3.62 (Not % 3.46/3.62 (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)) → % 3.46/3.62 Eq (skS.0 0 a_2) (skS.0 5 a_2 a_3 a_4))) % 3.46/3.62 True) % 3.46/3.62 (Eq (Eq (skS.0 4 a_5 a_6) (skS.0 2 a_5)) False)) % 3.46/3.62 Clause #18 (by clausification #[16]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a), % 3.46/3.62 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) % 3.46/3.62 (Or (Eq (Eq (skS.0 2 a_2) (skS.0 4 a_2 a_3)) True) % 3.46/3.62 (Eq % 3.46/3.62 (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)) → % 3.46/3.62 Eq (skS.0 0 a_4) (skS.0 5 a_4 a_5 a_6)) % 3.46/3.62 False)) % 3.46/3.62 Clause #19 (by clausification #[18]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a), % 3.46/3.62 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) % 3.46/3.62 (Or % 3.46/3.62 (Eq % 3.46/3.62 (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)) → % 3.46/3.62 Eq (skS.0 0 a_2) (skS.0 5 a_2 a_3 a_4)) % 3.46/3.62 False) % 3.46/3.62 (Eq (skS.0 2 a_5) (skS.0 4 a_5 a_6))) % 3.46/3.62 Clause #20 (by clausification #[19]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a), % 3.46/3.62 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) % 3.46/3.62 (Or (Eq (skS.0 2 a_2) (skS.0 4 a_2 a_3)) % 3.46/3.62 (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)) % 3.46/3.62 Clause #21 (by clausification #[19]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a), % 3.46/3.62 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) % 3.46/3.62 (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)) % 3.46/3.62 Clause #22 (by clausification #[20]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a), % 3.46/3.62 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) % 3.46/3.62 (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)) % 3.46/3.62 Clause #23 (by clausification #[20]): ∀ (a_1 a_2 a_3 a_4 a_5 : a), % 3.46/3.62 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) % 3.46/3.62 (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)) % 3.46/3.62 Clause #24 (by clausification #[22]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a), % 3.46/3.62 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) % 3.46/3.62 (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))) % 3.46/3.62 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)) % 3.46/3.62 Clause #26 (by clausification #[23]): ∀ (a_1 a_2 a_3 a_4 a_5 : a), % 3.46/3.62 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))) % 3.46/3.62 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)) % 3.46/3.62 Clause #28 (by clausification #[21]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a), % 3.46/3.62 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))) % 3.46/3.62 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)) % 3.46/3.62 Clause #30 (by superposition #[29, 25]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a), % 3.46/3.62 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))) % 3.46/3.62 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)) % 3.46/3.65 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)) % 3.46/3.65 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) % 3.46/3.65 Clause #34 (by clausification #[17]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a), % 3.46/3.65 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) % 3.46/3.65 (Or (Eq (Eq (skS.0 4 a_2 a_3) (skS.0 2 a_2)) False) % 3.46/3.65 (Eq % 3.46/3.65 (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)) → % 3.46/3.65 Eq (skS.0 0 a_4) (skS.0 5 a_4 a_5 a_6)) % 3.46/3.65 False)) % 3.46/3.65 Clause #35 (by clausification #[34]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a), % 3.46/3.65 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) % 3.46/3.65 (Or % 3.46/3.65 (Eq % 3.46/3.65 (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)) → % 3.46/3.65 Eq (skS.0 0 a_2) (skS.0 5 a_2 a_3 a_4)) % 3.46/3.65 False) % 3.46/3.65 (Ne (skS.0 4 a_5 a_6) (skS.0 2 a_5))) % 3.46/3.65 Clause #36 (by clausification #[35]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a), % 3.46/3.65 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) % 3.46/3.65 (Or (Ne (skS.0 4 a_2 a_3) (skS.0 2 a_2)) % 3.46/3.65 (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)) % 3.46/3.65 Clause #37 (by clausification #[35]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a), % 3.46/3.65 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) % 3.46/3.65 (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)) % 3.46/3.65 Clause #38 (by clausification #[36]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a), % 3.46/3.65 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) % 3.46/3.65 (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)) % 3.46/3.65 Clause #39 (by clausification #[36]): ∀ (a_1 a_2 a_3 a_4 a_5 : a), % 3.46/3.65 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) % 3.46/3.65 (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)) % 3.46/3.65 Clause #40 (by clausification #[38]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a), % 3.46/3.65 Or (Ne (skS.0 1 a_1) (skS.0 1 a_1)) % 3.46/3.65 (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))) % 3.46/3.65 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)) % 3.46/3.65 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)) % 3.46/3.65 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) % 3.46/3.65 Clause #44 (by clausification #[39]): ∀ (a_1 a_2 a_3 a_4 a_5 : a), % 3.46/3.65 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))) % 3.46/3.65 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)) % 3.46/3.65 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)) % 3.46/3.65 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) % 3.46/3.65 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) % 3.46/3.65 Clause #49 (by clausification #[37]): ∀ (a_1 a_2 a_3 a_4 a_5 a_6 : a), % 3.46/3.65 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))) % 3.46/3.65 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)) % 3.46/3.65 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)) % 3.46/3.65 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) % 3.46/3.65 Clause #53 (by forward demodulation #[52, 48]): ∀ (a_1 : a), Ne (skS.0 0 a_1) (skS.0 0 a_1) % 3.46/3.65 Clause #54 (by eliminate resolved literals #[53]): False % 3.46/3.65 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------