%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN919+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n022.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 08:08:14 PM UTC 2025 % Result : Theorem 3.56s 3.74s % Output : Proof 3.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN919+1 : TPTP v9.2.0. Released v3.1.0. % 0.11/0.13 % Command : duper %s % 0.12/0.34 % Computer : n022.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Oct 2 15:35:53 EDT 2025 % 0.12/0.34 % CPUTime : % 3.56/3.74 SZS status Theorem for theBenchmark.p % 3.56/3.74 SZS output start Proof for theBenchmark.p % 3.56/3.74 Clause #0 (by assumption #[]): Eq % 3.56/3.74 (Not % 3.56/3.74 (And (∀ (X Y : Iota), r X Y → r Y X) (∀ (X Y Z : Iota), And (r X Y) (r Y Z) → r X Z) → % 3.56/3.74 ∀ (X Y : Iota), r X Y → r X X)) % 3.56/3.74 True % 3.56/3.74 Clause #1 (by clausification #[0]): Eq (And (∀ (X Y : Iota), r X Y → r Y X) (∀ (X Y Z : Iota), And (r X Y) (r Y Z) → r X Z) → ∀ (X Y : Iota), r X Y → r X X) % 3.56/3.74 False % 3.56/3.74 Clause #2 (by clausification #[1]): Eq (And (∀ (X Y : Iota), r X Y → r Y X) (∀ (X Y Z : Iota), And (r X Y) (r Y Z) → r X Z)) True % 3.56/3.74 Clause #3 (by clausification #[1]): Eq (∀ (X Y : Iota), r X Y → r X X) False % 3.56/3.74 Clause #4 (by clausification #[2]): Eq (∀ (X Y Z : Iota), And (r X Y) (r Y Z) → r X Z) True % 3.56/3.74 Clause #5 (by clausification #[2]): Eq (∀ (X Y : Iota), r X Y → r Y X) True % 3.56/3.74 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Y Z : Iota), And (r a Y) (r Y Z) → r a Z) True % 3.56/3.74 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (∀ (Z : Iota), And (r a a_1) (r a_1 Z) → r a Z) True % 3.56/3.74 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 : Iota), Eq (And (r a a_1) (r a_1 a_2) → r a a_2) True % 3.56/3.74 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (r a a_1) (r a_1 a_2)) False) (Eq (r a a_2) True) % 3.56/3.74 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 : Iota), Or (Eq (r a a_1) True) (Or (Eq (r a a_2) False) (Eq (r a_2 a_1) False)) % 3.56/3.74 Clause #11 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (Y : Iota), r a Y → r Y a) True % 3.56/3.74 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (r a a_1 → r a_1 a) True % 3.56/3.74 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Or (Eq (r a a_1) False) (Eq (r a_1 a) True) % 3.56/3.74 Clause #14 (by clausification #[3]): ∀ (a : Iota), Eq (Not (∀ (Y : Iota), r (skS.0 0 a) Y → r (skS.0 0 a) (skS.0 0 a))) True % 3.56/3.74 Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (Y : Iota), r (skS.0 0 a) Y → r (skS.0 0 a) (skS.0 0 a)) False % 3.56/3.74 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (Not (r (skS.0 0 a) (skS.0 1 a a_1) → r (skS.0 0 a) (skS.0 0 a))) True % 3.56/3.74 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (r (skS.0 0 a) (skS.0 1 a a_1) → r (skS.0 0 a) (skS.0 0 a)) False % 3.56/3.74 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Eq (r (skS.0 0 a) (skS.0 1 a a_1)) True % 3.56/3.74 Clause #19 (by clausification #[17]): ∀ (a : Iota), Eq (r (skS.0 0 a) (skS.0 0 a)) False % 3.56/3.74 Clause #20 (by superposition #[18, 10]): ∀ (a a_1 a_2 : Iota), Or (Eq (r (skS.0 0 a) a_1) True) (Or (Eq True False) (Eq (r (skS.0 1 a a_2) a_1) False)) % 3.56/3.74 Clause #21 (by superposition #[18, 13]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (r (skS.0 1 a a_1) (skS.0 0 a)) True) % 3.56/3.74 Clause #22 (by clausification #[21]): ∀ (a a_1 : Iota), Eq (r (skS.0 1 a a_1) (skS.0 0 a)) True % 3.56/3.74 Clause #25 (by clausification #[20]): ∀ (a a_1 a_2 : Iota), Or (Eq (r (skS.0 0 a) a_1) True) (Eq (r (skS.0 1 a a_2) a_1) False) % 3.56/3.74 Clause #26 (by superposition #[25, 22]): ∀ (a : Iota), Or (Eq (r (skS.0 0 a) (skS.0 0 a)) True) (Eq False True) % 3.56/3.74 Clause #27 (by clausification #[26]): ∀ (a : Iota), Eq (r (skS.0 0 a) (skS.0 0 a)) True % 3.56/3.74 Clause #28 (by superposition #[27, 19]): Eq True False % 3.56/3.74 Clause #30 (by clausification #[28]): False % 3.56/3.74 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------