%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN355+1 : TPTP v9.2.0. Released v2.0.0. % 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 08:07:28 PM UTC 2025 % Result : Theorem 5.52s 5.76s % Output : Proof 5.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.10 % Problem : SYN355+1 : TPTP v9.2.0. Released v2.0.0. % 0.09/0.11 % Command : duper %s % 0.10/0.31 % Computer : n022.cluster.edu % 0.10/0.31 % Model : x86_64 x86_64 % 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.31 % Memory : 8042.1875MB % 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.31 % CPULimit : 300 % 0.15/0.31 % WCLimit : 300 % 0.15/0.31 % DateTime : Thu Oct 2 15:08:53 EDT 2025 % 0.15/0.31 % CPUTime : % 5.52/5.76 SZS status Theorem for theBenchmark.p % 5.52/5.76 SZS output start Proof for theBenchmark.p % 5.52/5.76 Clause #0 (by assumption #[]): Eq % 5.52/5.76 (Not % 5.52/5.76 (And (∀ (X : Iota), big_r X → big_p X) (∀ (X : Iota), Not (big_q X) → big_r X) → % 5.52/5.76 ∀ (X : Iota), Or (big_p X) (big_q X))) % 5.52/5.76 True % 5.52/5.76 Clause #1 (by clausification #[0]): Eq % 5.52/5.76 (And (∀ (X : Iota), big_r X → big_p X) (∀ (X : Iota), Not (big_q X) → big_r X) → ∀ (X : Iota), Or (big_p X) (big_q X)) % 5.52/5.76 False % 5.52/5.76 Clause #2 (by clausification #[1]): Eq (And (∀ (X : Iota), big_r X → big_p X) (∀ (X : Iota), Not (big_q X) → big_r X)) True % 5.52/5.76 Clause #3 (by clausification #[1]): Eq (∀ (X : Iota), Or (big_p X) (big_q X)) False % 5.52/5.76 Clause #4 (by clausification #[2]): Eq (∀ (X : Iota), Not (big_q X) → big_r X) True % 5.52/5.76 Clause #5 (by clausification #[2]): Eq (∀ (X : Iota), big_r X → big_p X) True % 5.52/5.76 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (Not (big_q a) → big_r a) True % 5.52/5.76 Clause #7 (by clausification #[6]): ∀ (a : Iota), Or (Eq (Not (big_q a)) False) (Eq (big_r a) True) % 5.52/5.76 Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (big_r a) True) (Eq (big_q a) True) % 5.52/5.76 Clause #9 (by clausification #[5]): ∀ (a : Iota), Eq (big_r a → big_p a) True % 5.52/5.76 Clause #10 (by clausification #[9]): ∀ (a : Iota), Or (Eq (big_r a) False) (Eq (big_p a) True) % 5.52/5.76 Clause #11 (by clausification #[3]): ∀ (a : Iota), Eq (Not (Or (big_p (skS.0 0 a)) (big_q (skS.0 0 a)))) True % 5.52/5.76 Clause #12 (by clausification #[11]): ∀ (a : Iota), Eq (Or (big_p (skS.0 0 a)) (big_q (skS.0 0 a))) False % 5.52/5.76 Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (big_q (skS.0 0 a)) False % 5.52/5.76 Clause #14 (by clausification #[12]): ∀ (a : Iota), Eq (big_p (skS.0 0 a)) False % 5.52/5.76 Clause #15 (by superposition #[13, 8]): ∀ (a : Iota), Or (Eq (big_r (skS.0 0 a)) True) (Eq False True) % 5.52/5.76 Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (big_r (skS.0 0 a)) True % 5.52/5.76 Clause #17 (by superposition #[16, 10]): ∀ (a : Iota), Or (Eq True False) (Eq (big_p (skS.0 0 a)) True) % 5.52/5.76 Clause #18 (by clausification #[17]): ∀ (a : Iota), Eq (big_p (skS.0 0 a)) True % 5.52/5.76 Clause #19 (by superposition #[18, 14]): Eq True False % 5.52/5.76 Clause #20 (by clausification #[19]): False % 5.52/5.76 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------