%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN930+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n011.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 08:08:15 PM UTC 2025 % Result : Theorem 5.04s 5.22s % Output : Proof 5.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SYN930+1 : TPTP v9.2.0. Released v3.1.0. % 0.10/0.13 % Command : duper %s % 0.13/0.34 % Computer : n011.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 : Thu Oct 2 15:29:23 EDT 2025 % 0.13/0.34 % CPUTime : % 5.04/5.22 SZS status Theorem for theBenchmark.p % 5.04/5.22 SZS output start Proof for theBenchmark.p % 5.04/5.22 Clause #0 (by assumption #[]): Eq (Not (Iff (∀ (X : Iota), Or (p X) c) (Or (∀ (X : Iota), p X) c))) True % 5.04/5.22 Clause #1 (by clausification #[0]): Eq (Iff (∀ (X : Iota), Or (p X) c) (Or (∀ (X : Iota), p X) c)) False % 5.04/5.22 Clause #2 (by clausification #[1]): Or (Eq (∀ (X : Iota), Or (p X) c) False) (Eq (Or (∀ (X : Iota), p X) c) False) % 5.04/5.22 Clause #3 (by clausification #[1]): Or (Eq (∀ (X : Iota), Or (p X) c) True) (Eq (Or (∀ (X : Iota), p X) c) True) % 5.04/5.22 Clause #4 (by clausification #[2]): ∀ (a : Iota), Or (Eq (Or (∀ (X : Iota), p X) c) False) (Eq (Not (Or (p (skS.0 0 a)) c)) True) % 5.04/5.22 Clause #5 (by clausification #[4]): ∀ (a : Iota), Or (Eq (Not (Or (p (skS.0 0 a)) c)) True) (Eq c False) % 5.04/5.22 Clause #6 (by clausification #[4]): ∀ (a : Iota), Or (Eq (Not (Or (p (skS.0 0 a)) c)) True) (Eq (∀ (X : Iota), p X) False) % 5.04/5.22 Clause #7 (by clausification #[5]): ∀ (a : Iota), Or (Eq c False) (Eq (Or (p (skS.0 0 a)) c) False) % 5.04/5.22 Clause #8 (by clausification #[7]): Or (Eq c False) (Eq c False) % 5.04/5.22 Clause #10 (by eliminate duplicate literals #[8]): Eq c False % 5.04/5.22 Clause #12 (by clausification #[3]): ∀ (a : Iota), Or (Eq (Or (∀ (X : Iota), p X) c) True) (Eq (Or (p a) c) True) % 5.04/5.22 Clause #13 (by clausification #[12]): ∀ (a : Iota), Or (Eq (Or (p a) c) True) (Or (Eq (∀ (X : Iota), p X) True) (Eq c True)) % 5.04/5.22 Clause #14 (by clausification #[13]): ∀ (a : Iota), Or (Eq (∀ (X : Iota), p X) True) (Or (Eq c True) (Or (Eq (p a) True) (Eq c True))) % 5.04/5.22 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Or (Eq c True) (Or (Eq (p a) True) (Or (Eq c True) (Eq (p a_1) True))) % 5.04/5.22 Clause #16 (by eliminate duplicate literals #[15]): ∀ (a a_1 : Iota), Or (Eq c True) (Or (Eq (p a) True) (Eq (p a_1) True)) % 5.04/5.22 Clause #17 (by forward demodulation #[16, 10]): ∀ (a a_1 : Iota), Or (Eq False True) (Or (Eq (p a) True) (Eq (p a_1) True)) % 5.04/5.22 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Or (Eq (p a) True) (Eq (p a_1) True) % 5.04/5.22 Clause #19 (by equality factoring #[18]): ∀ (a : Iota), Or (Ne True True) (Eq (p a) True) % 5.04/5.22 Clause #20 (by clausification #[19]): ∀ (a : Iota), Or (Eq (p a) True) (Or (Eq True False) (Eq True False)) % 5.04/5.22 Clause #22 (by clausification #[20]): ∀ (a : Iota), Or (Eq (p a) True) (Eq True False) % 5.04/5.22 Clause #23 (by clausification #[22]): ∀ (a : Iota), Eq (p a) True % 5.04/5.22 Clause #24 (by clausification #[6]): ∀ (a : Iota), Or (Eq (∀ (X : Iota), p X) False) (Eq (Or (p (skS.0 0 a)) c) False) % 5.04/5.22 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Or (Eq (Or (p (skS.0 0 a)) c) False) (Eq (Not (p (skS.0 1 a_1))) True) % 5.04/5.22 Clause #27 (by clausification #[25]): ∀ (a a_1 : Iota), Or (Eq (Not (p (skS.0 1 a))) True) (Eq (p (skS.0 0 a_1)) False) % 5.04/5.22 Clause #30 (by clausification #[27]): ∀ (a a_1 : Iota), Or (Eq (p (skS.0 0 a)) False) (Eq (p (skS.0 1 a_1)) False) % 5.04/5.22 Clause #31 (by superposition #[30, 23]): ∀ (a : Iota), Or (Eq (p (skS.0 1 a)) False) (Eq False True) % 5.04/5.22 Clause #32 (by clausification #[31]): ∀ (a : Iota), Eq (p (skS.0 1 a)) False % 5.04/5.22 Clause #33 (by superposition #[32, 23]): Eq False True % 5.04/5.22 Clause #34 (by clausification #[33]): False % 5.04/5.22 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------