%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO506^1 : TPTP v9.2.0. Released v4.1.0. % 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 08:09:13 PM UTC 2025 % Result : Theorem 3.94s 4.10s % Output : Proof 3.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SYO506^1 : TPTP v9.2.0. Released v4.1.0. % 0.12/0.13 % Command : duper %s % 0.13/0.34 % Computer : n022.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Oct 3 14:21:53 EDT 2025 % 0.13/0.34 % CPUTime : % 3.94/4.10 SZS status Theorem for theBenchmark.p % 3.94/4.10 SZS output start Proof for theBenchmark.p % 3.94/4.10 Clause #0 (by assumption #[]): Eq % 3.94/4.10 (Not % 3.94/4.10 (Or (Or (∀ (X Y : Iota), Eq (c (Eq X Y) X Y) Y) (Not (∀ (X Y : Iota), Eq (c True X Y) X))) % 3.94/4.10 (Not (∀ (X Y : Iota), Eq (c False X Y) Y)))) % 3.94/4.10 True % 3.94/4.10 Clause #1 (by clausification #[0]): Eq % 3.94/4.10 (Or (Or (∀ (X Y : Iota), Eq (c (Eq X Y) X Y) Y) (Not (∀ (X Y : Iota), Eq (c True X Y) X))) % 3.94/4.10 (Not (∀ (X Y : Iota), Eq (c False X Y) Y))) % 3.94/4.10 False % 3.94/4.10 Clause #2 (by clausification #[1]): Eq (Not (∀ (X Y : Iota), Eq (c False X Y) Y)) False % 3.94/4.10 Clause #3 (by clausification #[1]): Eq (Or (∀ (X Y : Iota), Eq (c (Eq X Y) X Y) Y) (Not (∀ (X Y : Iota), Eq (c True X Y) X))) False % 3.94/4.10 Clause #4 (by clausification #[2]): Eq (∀ (X Y : Iota), Eq (c False X Y) Y) True % 3.94/4.10 Clause #5 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Y : Iota), Eq (c False a Y) Y) True % 3.94/4.10 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Eq (Eq (c False a a_1) a_1) True % 3.94/4.10 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (c False a a_1) a_1 % 3.94/4.10 Clause #8 (by clausification #[3]): Eq (Not (∀ (X Y : Iota), Eq (c True X Y) X)) False % 3.94/4.10 Clause #9 (by clausification #[3]): Eq (∀ (X Y : Iota), Eq (c (Eq X Y) X Y) Y) False % 3.94/4.10 Clause #10 (by clausification #[8]): Eq (∀ (X Y : Iota), Eq (c True X Y) X) True % 3.94/4.10 Clause #11 (by clausification #[10]): ∀ (a : Iota), Eq (∀ (Y : Iota), Eq (c True a Y) a) True % 3.94/4.10 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (Eq (c True a a_1) a) True % 3.94/4.10 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Eq (c True a a_1) a % 3.94/4.10 Clause #14 (by clausification #[9]): ∀ (a : Iota), Eq (Not (∀ (Y : Iota), Eq (c (Eq (skS.0 0 a) Y) (skS.0 0 a) Y) Y)) True % 3.94/4.10 Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (Y : Iota), Eq (c (Eq (skS.0 0 a) Y) (skS.0 0 a) Y) Y) False % 3.94/4.10 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (Not (Eq (c (Eq (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1))) True % 3.94/4.10 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (Eq (c (Eq (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1)) False % 3.94/4.10 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Ne (c (Eq (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1) % 3.94/4.10 Clause #19 (by identity loobHoist #[18]): ∀ (a a_1 : Iota), % 3.94/4.10 Or (Ne (c True (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1)) (Eq (Eq (skS.0 0 a) (skS.0 1 a a_1)) False) % 3.94/4.10 Clause #20 (by identity boolHoist #[18]): ∀ (a a_1 : Iota), % 3.94/4.10 Or (Ne (c False (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1)) (Eq (Eq (skS.0 0 a) (skS.0 1 a a_1)) True) % 3.94/4.10 Clause #21 (by clausification #[19]): ∀ (a a_1 : Iota), Or (Ne (c True (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1)) (Ne (skS.0 0 a) (skS.0 1 a a_1)) % 3.94/4.10 Clause #22 (by forward demodulation #[21, 13]): ∀ (a a_1 : Iota), Or (Ne (skS.0 0 a) (skS.0 1 a a_1)) (Ne (skS.0 0 a) (skS.0 1 a a_1)) % 3.94/4.10 Clause #23 (by eliminate duplicate literals #[22]): ∀ (a a_1 : Iota), Ne (skS.0 0 a) (skS.0 1 a a_1) % 3.94/4.10 Clause #24 (by clausification #[20]): ∀ (a a_1 : Iota), Or (Ne (c False (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1)) (Eq (skS.0 0 a) (skS.0 1 a a_1)) % 3.94/4.10 Clause #25 (by forward demodulation #[24, 7]): ∀ (a a_1 : Iota), Or (Ne (skS.0 1 a a_1) (skS.0 1 a a_1)) (Eq (skS.0 0 a) (skS.0 1 a a_1)) % 3.94/4.10 Clause #26 (by eliminate resolved literals #[25]): ∀ (a a_1 : Iota), Eq (skS.0 0 a) (skS.0 1 a a_1) % 3.94/4.10 Clause #27 (by forward contextual literal cutting #[26, 23]): False % 3.94/4.10 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------