%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN356+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n016.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 08:07:29 PM UTC 2025 % Result : Theorem 4.15s 4.32s % Output : Proof 4.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.14 % Problem : SYN356+1 : TPTP v9.2.0. Released v2.0.0. % 0.09/0.15 % Command : duper %s % 0.15/0.37 % Computer : n016.cluster.edu % 0.15/0.37 % Model : x86_64 x86_64 % 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.37 % Memory : 8042.1875MB % 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.37 % CPULimit : 300 % 0.15/0.37 % WCLimit : 300 % 0.15/0.37 % DateTime : Thu Oct 2 15:42:23 EDT 2025 % 0.15/0.37 % CPUTime : % 4.15/4.32 SZS status Theorem for theBenchmark.p % 4.15/4.32 SZS output start Proof for theBenchmark.p % 4.15/4.32 Clause #0 (by assumption #[]): Eq % 4.15/4.32 (Not % 4.15/4.32 (And (And (big_r a b) (∀ (X Y : Iota), big_r X Y → And (big_r Y X) (big_q X Y))) % 4.15/4.32 (∀ (U V : Iota), big_q U V → big_q U U) → % 4.15/4.32 And (big_q a a) (big_q b b))) % 4.15/4.32 True % 4.15/4.32 Clause #1 (by clausification #[0]): Eq % 4.15/4.32 (And (And (big_r a b) (∀ (X Y : Iota), big_r X Y → And (big_r Y X) (big_q X Y))) % 4.15/4.32 (∀ (U V : Iota), big_q U V → big_q U U) → % 4.15/4.32 And (big_q a a) (big_q b b)) % 4.15/4.32 False % 4.15/4.32 Clause #2 (by clausification #[1]): Eq % 4.15/4.32 (And (And (big_r a b) (∀ (X Y : Iota), big_r X Y → And (big_r Y X) (big_q X Y))) % 4.15/4.32 (∀ (U V : Iota), big_q U V → big_q U U)) % 4.15/4.32 True % 4.15/4.32 Clause #3 (by clausification #[1]): Eq (And (big_q a a) (big_q b b)) False % 4.15/4.32 Clause #4 (by clausification #[2]): Eq (∀ (U V : Iota), big_q U V → big_q U U) True % 4.15/4.32 Clause #5 (by clausification #[2]): Eq (And (big_r a b) (∀ (X Y : Iota), big_r X Y → And (big_r Y X) (big_q X Y))) True % 4.15/4.32 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (V : Iota), big_q a V → big_q a a) True % 4.15/4.32 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (big_q a a_1 → big_q a a) True % 4.15/4.32 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (big_q a a_1) False) (Eq (big_q a a) True) % 4.15/4.32 Clause #9 (by clausification #[3]): Or (Eq (big_q a a) False) (Eq (big_q b b) False) % 4.15/4.32 Clause #10 (by clausification #[5]): Eq (∀ (X Y : Iota), big_r X Y → And (big_r Y X) (big_q X Y)) True % 4.15/4.32 Clause #11 (by clausification #[5]): Eq (big_r a b) True % 4.15/4.32 Clause #12 (by clausification #[10]): ∀ (a : Iota), Eq (∀ (Y : Iota), big_r a Y → And (big_r Y a) (big_q a Y)) True % 4.15/4.32 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Eq (big_r a a_1 → And (big_r a_1 a) (big_q a a_1)) True % 4.15/4.32 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Or (Eq (big_r a a_1) False) (Eq (And (big_r a_1 a) (big_q a a_1)) True) % 4.15/4.32 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Or (Eq (big_r a a_1) False) (Eq (big_q a a_1) True) % 4.15/4.32 Clause #16 (by clausification #[14]): ∀ (a a_1 : Iota), Or (Eq (big_r a a_1) False) (Eq (big_r a_1 a) True) % 4.15/4.32 Clause #17 (by superposition #[11, 15]): Or (Eq (big_q a b) True) (Eq False True) % 4.15/4.32 Clause #18 (by clausification #[17]): Eq (big_q a b) True % 4.15/4.32 Clause #19 (by superposition #[18, 8]): Or (Eq True False) (Eq (big_q a a) True) % 4.15/4.32 Clause #20 (by superposition #[16, 11]): Or (Eq (big_r b a) True) (Eq False True) % 4.15/4.32 Clause #21 (by clausification #[20]): Eq (big_r b a) True % 4.15/4.32 Clause #22 (by superposition #[21, 15]): Or (Eq True False) (Eq (big_q b a) True) % 4.15/4.32 Clause #24 (by clausification #[22]): Eq (big_q b a) True % 4.15/4.32 Clause #25 (by superposition #[24, 8]): Or (Eq True False) (Eq (big_q b b) True) % 4.15/4.32 Clause #26 (by clausification #[25]): Eq (big_q b b) True % 4.15/4.32 Clause #27 (by backward demodulation #[26, 9]): Or (Eq (big_q a a) False) (Eq True False) % 4.15/4.32 Clause #28 (by clausification #[27]): Eq (big_q a a) False % 4.15/4.32 Clause #29 (by clausification #[19]): Eq (big_q a a) True % 4.15/4.32 Clause #30 (by superposition #[29, 28]): Eq True False % 4.15/4.32 Clause #31 (by clausification #[30]): False % 4.15/4.32 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------