%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO220^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.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 08:08:46 PM UTC 2025 % Result : Theorem 3.50s 3.68s % Output : Proof 3.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYO220^5 : TPTP v9.2.0. Released v4.0.0. % 0.13/0.13 % Command : duper %s % 0.13/0.35 % Computer : n026.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Fri Oct 3 13:29:08 EDT 2025 % 0.13/0.35 % CPUTime : % 3.50/3.68 SZS status Theorem for theBenchmark.p % 3.50/3.68 SZS output start Proof for theBenchmark.p % 3.50/3.68 Clause #0 (by assumption #[]): Eq (Not (∀ (X Y : Iota), Eq X Y → ∀ (R : Iota → Iota → Prop), (∀ (Z : Iota), R Z Z) → R X Y)) True % 3.50/3.68 Clause #1 (by clausification #[0]): Eq (∀ (X Y : Iota), Eq X Y → ∀ (R : Iota → Iota → Prop), (∀ (Z : Iota), R Z Z) → R X Y) False % 3.50/3.68 Clause #2 (by clausification #[1]): ∀ (a : Iota), % 3.50/3.68 Eq (Not (∀ (Y : Iota), Eq (skS.0 0 a) Y → ∀ (R : Iota → Iota → Prop), (∀ (Z : Iota), R Z Z) → R (skS.0 0 a) Y)) True % 3.50/3.68 Clause #3 (by clausification #[2]): ∀ (a : Iota), % 3.50/3.68 Eq (∀ (Y : Iota), Eq (skS.0 0 a) Y → ∀ (R : Iota → Iota → Prop), (∀ (Z : Iota), R Z Z) → R (skS.0 0 a) Y) False % 3.50/3.68 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota), % 3.50/3.68 Eq % 3.50/3.68 (Not % 3.50/3.68 (Eq (skS.0 0 a) (skS.0 1 a a_1) → % 3.50/3.68 ∀ (R : Iota → Iota → Prop), (∀ (Z : Iota), R Z Z) → R (skS.0 0 a) (skS.0 1 a a_1))) % 3.50/3.68 True % 3.50/3.68 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), % 3.50/3.68 Eq % 3.50/3.68 (Eq (skS.0 0 a) (skS.0 1 a a_1) → ∀ (R : Iota → Iota → Prop), (∀ (Z : Iota), R Z Z) → R (skS.0 0 a) (skS.0 1 a a_1)) % 3.50/3.68 False % 3.50/3.68 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Eq (Eq (skS.0 0 a) (skS.0 1 a a_1)) True % 3.50/3.68 Clause #7 (by clausification #[5]): ∀ (a a_1 : Iota), Eq (∀ (R : Iota → Iota → Prop), (∀ (Z : Iota), R Z Z) → R (skS.0 0 a) (skS.0 1 a a_1)) False % 3.50/3.68 Clause #8 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (skS.0 0 a) (skS.0 1 a a_1) % 3.50/3.68 Clause #9 (by clausification #[7]): ∀ (a a_1 : Iota) (a_2 : Iota → Iota → Prop), % 3.50/3.68 Eq (Not ((∀ (Z : Iota), skS.0 2 a a_1 a_2 Z Z) → skS.0 2 a a_1 a_2 (skS.0 0 a) (skS.0 1 a a_1))) True % 3.50/3.68 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota) (a_2 : Iota → Iota → Prop), % 3.50/3.68 Eq ((∀ (Z : Iota), skS.0 2 a a_1 a_2 Z Z) → skS.0 2 a a_1 a_2 (skS.0 0 a) (skS.0 1 a a_1)) False % 3.50/3.68 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota) (a_2 : Iota → Iota → Prop), Eq (∀ (Z : Iota), skS.0 2 a a_1 a_2 Z Z) True % 3.50/3.68 Clause #12 (by clausification #[10]): ∀ (a a_1 : Iota) (a_2 : Iota → Iota → Prop), Eq (skS.0 2 a a_1 a_2 (skS.0 0 a) (skS.0 1 a a_1)) False % 3.50/3.68 Clause #13 (by clausification #[11]): ∀ (a a_1 : Iota) (a_2 : Iota → Iota → Prop) (a_3 : Iota), Eq (skS.0 2 a a_1 a_2 a_3 a_3) True % 3.50/3.68 Clause #14 (by forward demodulation #[12, 8]): ∀ (a a_1 : Iota) (a_2 : Iota → Iota → Prop), Eq (skS.0 2 a a_1 a_2 (skS.0 0 a) (skS.0 0 a)) False % 3.50/3.68 Clause #15 (by superposition #[14, 13]): Eq False True % 3.50/3.68 Clause #16 (by clausification #[15]): False % 3.50/3.68 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------