%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO095^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n007.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 08:08:35 PM UTC 2025 % Result : Theorem 5.55s 5.74s % Output : Proof 5.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.09 % Problem : SYO095^5 : TPTP v9.2.0. Released v4.0.0. % 0.02/0.10 % Command : duper %s % 0.10/0.30 % Computer : n007.cluster.edu % 0.10/0.30 % Model : x86_64 x86_64 % 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.30 % Memory : 8042.1875MB % 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.30 % CPULimit : 300 % 0.10/0.30 % WCLimit : 300 % 0.10/0.30 % DateTime : Fri Oct 3 13:27:08 EDT 2025 % 0.10/0.30 % CPUTime : % 5.55/5.74 SZS status Theorem for theBenchmark.p % 5.55/5.74 SZS output start Proof for theBenchmark.p % 5.55/5.74 Clause #0 (by assumption #[]): Eq % 5.55/5.74 (Not % 5.55/5.74 (And (∀ (S T : Iota), Iff (cR S S) (cR S T)) (∀ (W Z : Iota), Iff (cR W W) (cR Z W)) → % 5.55/5.74 (Exists fun X => cR X X) → ∀ (Y : Iota), cR Y Y)) % 5.55/5.74 True % 5.55/5.74 Clause #1 (by clausification #[0]): Eq % 5.55/5.74 (And (∀ (S T : Iota), Iff (cR S S) (cR S T)) (∀ (W Z : Iota), Iff (cR W W) (cR Z W)) → % 5.55/5.74 (Exists fun X => cR X X) → ∀ (Y : Iota), cR Y Y) % 5.55/5.74 False % 5.55/5.74 Clause #2 (by clausification #[1]): Eq (And (∀ (S T : Iota), Iff (cR S S) (cR S T)) (∀ (W Z : Iota), Iff (cR W W) (cR Z W))) True % 5.55/5.74 Clause #3 (by clausification #[1]): Eq ((Exists fun X => cR X X) → ∀ (Y : Iota), cR Y Y) False % 5.55/5.74 Clause #4 (by clausification #[2]): Eq (∀ (W Z : Iota), Iff (cR W W) (cR Z W)) True % 5.55/5.74 Clause #5 (by clausification #[2]): Eq (∀ (S T : Iota), Iff (cR S S) (cR S T)) True % 5.55/5.74 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Z : Iota), Iff (cR a a) (cR Z a)) True % 5.55/5.74 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (Iff (cR a a) (cR a_1 a)) True % 5.55/5.74 Clause #9 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (cR a a) False) (Eq (cR a_1 a) True) % 5.55/5.74 Clause #10 (by clausification #[3]): Eq (Exists fun X => cR X X) True % 5.55/5.74 Clause #11 (by clausification #[3]): Eq (∀ (Y : Iota), cR Y Y) False % 5.55/5.74 Clause #12 (by clausification #[10]): ∀ (a : Iota), Eq (cR (skS.0 0 a) (skS.0 0 a)) True % 5.55/5.74 Clause #13 (by clausification #[11]): ∀ (a : Iota), Eq (Not (cR (skS.0 1 a) (skS.0 1 a))) True % 5.55/5.74 Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (cR (skS.0 1 a) (skS.0 1 a)) False % 5.55/5.74 Clause #15 (by superposition #[9, 12]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (cR a (skS.0 0 a_1)) True) % 5.55/5.74 Clause #16 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (T : Iota), Iff (cR a a) (cR a T)) True % 5.55/5.74 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (Iff (cR a a) (cR a a_1)) True % 5.55/5.74 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Or (Eq (cR a a) True) (Eq (cR a a_1) False) % 5.55/5.74 Clause #21 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (cR a (skS.0 0 a_1)) True % 5.55/5.74 Clause #23 (by superposition #[21, 18]): ∀ (a : Iota), Or (Eq (cR a a) True) (Eq True False) % 5.55/5.74 Clause #24 (by clausification #[23]): ∀ (a : Iota), Eq (cR a a) True % 5.55/5.74 Clause #25 (by superposition #[24, 14]): Eq True False % 5.55/5.74 Clause #27 (by clausification #[25]): False % 5.55/5.74 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------