%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN936+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n021.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 08:08:16 PM UTC 2025 % Result : Theorem 4.32s 4.48s % Output : Proof 4.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN936+1 : TPTP v9.2.0. Released v3.1.0. % 0.13/0.14 % Command : duper %s % 0.13/0.36 % Computer : n021.cluster.edu % 0.13/0.36 % Model : x86_64 x86_64 % 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.36 % Memory : 8042.1875MB % 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.36 % CPULimit : 300 % 0.13/0.36 % WCLimit : 300 % 0.13/0.36 % DateTime : Thu Oct 2 15:39:23 EDT 2025 % 0.13/0.36 % CPUTime : % 4.32/4.48 SZS status Theorem for theBenchmark.p % 4.32/4.48 SZS output start Proof for theBenchmark.p % 4.32/4.48 Clause #0 (by assumption #[]): Eq (Not (Iff (∀ (X : Iota), c → p X) (c → ∀ (X : Iota), p X))) True % 4.32/4.48 Clause #1 (by clausification #[0]): Eq (Iff (∀ (X : Iota), c → p X) (c → ∀ (X : Iota), p X)) False % 4.32/4.48 Clause #2 (by clausification #[1]): Or (Eq (∀ (X : Iota), c → p X) False) (Eq (c → ∀ (X : Iota), p X) False) % 4.32/4.48 Clause #3 (by clausification #[1]): Or (Eq (∀ (X : Iota), c → p X) True) (Eq (c → ∀ (X : Iota), p X) True) % 4.32/4.48 Clause #4 (by clausification #[2]): ∀ (a : Iota), Or (Eq (c → ∀ (X : Iota), p X) False) (Eq (Not (c → p (skS.0 0 a))) True) % 4.32/4.48 Clause #5 (by clausification #[4]): ∀ (a : Iota), Or (Eq (Not (c → p (skS.0 0 a))) True) (Eq c True) % 4.32/4.48 Clause #6 (by clausification #[4]): ∀ (a : Iota), Or (Eq (Not (c → p (skS.0 0 a))) True) (Eq (∀ (X : Iota), p X) False) % 4.32/4.48 Clause #7 (by clausification #[5]): ∀ (a : Iota), Or (Eq c True) (Eq (c → p (skS.0 0 a)) False) % 4.32/4.48 Clause #8 (by clausification #[7]): Or (Eq c True) (Eq c True) % 4.32/4.48 Clause #10 (by eliminate duplicate literals #[8]): Eq c True % 4.32/4.48 Clause #12 (by clausification #[3]): ∀ (a : Iota), Or (Eq (c → ∀ (X : Iota), p X) True) (Eq (c → p a) True) % 4.32/4.48 Clause #13 (by clausification #[12]): ∀ (a : Iota), Or (Eq (c → p a) True) (Or (Eq c False) (Eq (∀ (X : Iota), p X) True)) % 4.32/4.48 Clause #14 (by clausification #[13]): ∀ (a : Iota), Or (Eq c False) (Or (Eq (∀ (X : Iota), p X) True) (Or (Eq c False) (Eq (p a) True))) % 4.32/4.48 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Or (Eq c False) (Or (Eq c False) (Or (Eq (p a) True) (Eq (p a_1) True))) % 4.32/4.48 Clause #16 (by eliminate duplicate literals #[15]): ∀ (a a_1 : Iota), Or (Eq c False) (Or (Eq (p a) True) (Eq (p a_1) True)) % 4.32/4.48 Clause #17 (by forward demodulation #[16, 10]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (p a) True) (Eq (p a_1) True)) % 4.32/4.48 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Or (Eq (p a) True) (Eq (p a_1) True) % 4.32/4.48 Clause #19 (by equality factoring #[18]): ∀ (a : Iota), Or (Ne True True) (Eq (p a) True) % 4.32/4.48 Clause #20 (by clausification #[19]): ∀ (a : Iota), Or (Eq (p a) True) (Or (Eq True False) (Eq True False)) % 4.32/4.48 Clause #22 (by clausification #[20]): ∀ (a : Iota), Or (Eq (p a) True) (Eq True False) % 4.32/4.48 Clause #23 (by clausification #[22]): ∀ (a : Iota), Eq (p a) True % 4.32/4.48 Clause #24 (by clausification #[6]): ∀ (a : Iota), Or (Eq (∀ (X : Iota), p X) False) (Eq (c → p (skS.0 0 a)) False) % 4.32/4.48 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Or (Eq (c → p (skS.0 0 a)) False) (Eq (Not (p (skS.0 1 a_1))) True) % 4.32/4.48 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) % 4.32/4.48 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) % 4.32/4.48 Clause #31 (by superposition #[30, 23]): ∀ (a : Iota), Or (Eq (p (skS.0 1 a)) False) (Eq False True) % 4.32/4.48 Clause #32 (by clausification #[31]): ∀ (a : Iota), Eq (p (skS.0 1 a)) False % 4.32/4.48 Clause #33 (by superposition #[32, 23]): Eq False True % 4.32/4.48 Clause #34 (by clausification #[33]): False % 4.32/4.48 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------