%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS178+1 : TPTP v9.2.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n009.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 07:52:45 PM UTC 2025 % Result : Theorem 3.86s 4.04s % Output : Proof 3.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : KRS178+1 : TPTP v9.2.0. Bugfixed v5.4.0. % 0.03/0.14 % Command : duper %s % 0.14/0.35 % Computer : n009.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 Oct 2 10:19:08 EDT 2025 % 0.14/0.35 % CPUTime : % 3.86/4.04 SZS status Theorem for theBenchmark.p % 3.86/4.04 SZS output start Proof for theBenchmark.p % 3.86/4.04 Clause #1 (by assumption #[]): Eq (∀ (S1 S2 : Iota), Iff (∀ (Ax C : Iota), status Ax C S1 → status Ax C S2) (isa S1 S2)) True % 3.86/4.04 Clause #13 (by assumption #[]): Eq (Not (∀ (S1 : Iota), isa S1 S1)) True % 3.86/4.04 Clause #14 (by clausification #[13]): Eq (∀ (S1 : Iota), isa S1 S1) False % 3.86/4.04 Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (Not (isa (skS.0 0 a) (skS.0 0 a))) True % 3.86/4.04 Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (isa (skS.0 0 a) (skS.0 0 a)) False % 3.86/4.04 Clause #45 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (S2 : Iota), Iff (∀ (Ax C : Iota), status Ax C a → status Ax C S2) (isa a S2)) True % 3.86/4.04 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota), Eq (Iff (∀ (Ax C : Iota), status Ax C a → status Ax C a_1) (isa a a_1)) True % 3.86/4.04 Clause #48 (by clausification #[46]): ∀ (a a_1 : Iota), Or (Eq (∀ (Ax C : Iota), status Ax C a → status Ax C a_1) False) (Eq (isa a a_1) True) % 3.86/4.04 Clause #52 (by clausification #[48]): ∀ (a a_1 a_2 : Iota), % 3.86/4.04 Or (Eq (isa a a_1) True) % 3.86/4.04 (Eq (Not (∀ (C : Iota), status (skS.0 5 a a_1 a_2) C a → status (skS.0 5 a a_1 a_2) C a_1)) True) % 3.86/4.04 Clause #53 (by clausification #[52]): ∀ (a a_1 a_2 : Iota), % 3.86/4.04 Or (Eq (isa a a_1) True) (Eq (∀ (C : Iota), status (skS.0 5 a a_1 a_2) C a → status (skS.0 5 a a_1 a_2) C a_1) False) % 3.86/4.04 Clause #54 (by clausification #[53]): ∀ (a a_1 a_2 a_3 : Iota), % 3.86/4.04 Or (Eq (isa a a_1) True) % 3.86/4.04 (Eq % 3.86/4.04 (Not % 3.86/4.04 (status (skS.0 5 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3) a → status (skS.0 5 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3) a_1)) % 3.86/4.04 True) % 3.86/4.04 Clause #55 (by clausification #[54]): ∀ (a a_1 a_2 a_3 : Iota), % 3.86/4.04 Or (Eq (isa a a_1) True) % 3.86/4.04 (Eq (status (skS.0 5 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3) a → status (skS.0 5 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3) a_1) % 3.86/4.04 False) % 3.86/4.04 Clause #56 (by clausification #[55]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (isa a a_1) True) (Eq (status (skS.0 5 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3) a) True) % 3.86/4.04 Clause #57 (by clausification #[55]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (isa a a_1) True) (Eq (status (skS.0 5 a a_1 a_2) (skS.0 6 a a_1 a_2 a_3) a_1) False) % 3.86/4.04 Clause #149 (by superposition #[57, 56]): ∀ (a : Iota), Or (Eq (isa a a) True) (Or (Eq (isa a a) True) (Eq False True)) % 3.86/4.04 Clause #150 (by clausification #[149]): ∀ (a : Iota), Or (Eq (isa a a) True) (Eq (isa a a) True) % 3.86/4.04 Clause #151 (by eliminate duplicate literals #[150]): ∀ (a : Iota), Eq (isa a a) True % 3.86/4.04 Clause #152 (by superposition #[151, 16]): Eq True False % 3.86/4.04 Clause #154 (by clausification #[152]): False % 3.86/4.04 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------