%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO107^5 : 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 08:08:36 PM UTC 2025 % Result : Theorem 3.46s 3.70s % Output : Proof 3.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYO107^5 : TPTP v9.2.0. Released v4.0.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n026.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 12:51:08 EDT 2025 % 0.13/0.34 % CPUTime : % 3.46/3.70 SZS status Theorem for theBenchmark.p % 3.46/3.70 SZS output start Proof for theBenchmark.p % 3.46/3.70 Clause #0 (by assumption #[]): Eq (Not (Iff (Exists fun X => ∀ (Y : Iota), cP X → cP Y) (Exists fun X => cP X → ∀ (Y : Iota), cP Y))) True % 3.46/3.70 Clause #1 (by clausification #[0]): Eq (Iff (Exists fun X => ∀ (Y : Iota), cP X → cP Y) (Exists fun X => cP X → ∀ (Y : Iota), cP Y)) False % 3.46/3.70 Clause #2 (by clausification #[1]): Or (Eq (Exists fun X => ∀ (Y : Iota), cP X → cP Y) False) (Eq (Exists fun X => cP X → ∀ (Y : Iota), cP Y) False) % 3.46/3.70 Clause #4 (by clausification #[2]): ∀ (a : Iota), Or (Eq (Exists fun X => cP X → ∀ (Y : Iota), cP Y) False) (Eq (∀ (Y : Iota), cP a → cP Y) False) % 3.46/3.70 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), Or (Eq (∀ (Y : Iota), cP a → cP Y) False) (Eq (cP a_1 → ∀ (Y : Iota), cP Y) False) % 3.46/3.70 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a → ∀ (Y : Iota), cP Y) False) (Eq (Not (cP a_1 → cP (skS.0 0 a_1 a_2))) True) % 3.46/3.70 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 : Iota), Or (Eq (Not (cP a → cP (skS.0 0 a a_1))) True) (Eq (cP a_2) True) % 3.46/3.70 Clause #8 (by clausification #[6]): ∀ (a a_1 : Iota), Or (Eq (Not (cP a → cP (skS.0 0 a a_1))) True) (Eq (∀ (Y : Iota), cP Y) False) % 3.46/3.70 Clause #9 (by clausification #[7]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a) True) (Eq (cP a_1 → cP (skS.0 0 a_1 a_2)) False) % 3.46/3.70 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Or (Eq (cP a) True) (Eq (cP a_1) True) % 3.46/3.70 Clause #12 (by equality factoring #[10]): ∀ (a : Iota), Or (Ne True True) (Eq (cP a) True) % 3.46/3.70 Clause #13 (by clausification #[12]): ∀ (a : Iota), Or (Eq (cP a) True) (Or (Eq True False) (Eq True False)) % 3.46/3.70 Clause #15 (by clausification #[13]): ∀ (a : Iota), Or (Eq (cP a) True) (Eq True False) % 3.46/3.70 Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (cP a) True % 3.46/3.70 Clause #17 (by clausification #[8]): ∀ (a a_1 : Iota), Or (Eq (∀ (Y : Iota), cP Y) False) (Eq (cP a → cP (skS.0 0 a a_1)) False) % 3.46/3.70 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a → cP (skS.0 0 a a_1)) False) (Eq (Not (cP (skS.0 1 a_2))) True) % 3.46/3.70 Clause #20 (by clausification #[18]): ∀ (a a_1 a_2 : Iota), Or (Eq (Not (cP (skS.0 1 a))) True) (Eq (cP (skS.0 0 a_1 a_2)) False) % 3.46/3.70 Clause #28 (by clausification #[20]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP (skS.0 0 a a_1)) False) (Eq (cP (skS.0 1 a_2)) False) % 3.46/3.70 Clause #29 (by superposition #[28, 16]): ∀ (a : Iota), Or (Eq (cP (skS.0 1 a)) False) (Eq False True) % 3.46/3.70 Clause #30 (by clausification #[29]): ∀ (a : Iota), Eq (cP (skS.0 1 a)) False % 3.46/3.70 Clause #31 (by superposition #[30, 16]): Eq False True % 3.46/3.70 Clause #32 (by clausification #[31]): False % 3.46/3.70 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------