%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN060+1 : TPTP v9.2.0. Released v2.0.0. % 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 08:07:05 PM UTC 2025 % Result : Theorem 3.81s 3.96s % Output : Proof 3.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN060+1 : TPTP v9.2.0. Released v2.0.0. % 0.03/0.13 % Command : duper %s % 0.14/0.34 % Computer : n021.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Thu Oct 2 15:26:08 EDT 2025 % 0.14/0.34 % CPUTime : % 3.81/3.96 SZS status Theorem for theBenchmark.p % 3.81/3.96 SZS output start Proof for theBenchmark.p % 3.81/3.96 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), Or (big_f X) (big_g X) → Not (big_h X)) True % 3.81/3.96 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), (big_g X → Not (big_i X)) → And (big_f X) (big_h X)) True % 3.81/3.96 Clause #2 (by assumption #[]): Eq (Not (∀ (X : Iota), big_i X)) True % 3.81/3.96 Clause #3 (by clausification #[2]): Eq (∀ (X : Iota), big_i X) False % 3.81/3.96 Clause #4 (by clausification #[3]): ∀ (a : Iota), Eq (Not (big_i (skS.0 0 a))) True % 3.81/3.96 Clause #5 (by clausification #[4]): ∀ (a : Iota), Eq (big_i (skS.0 0 a)) False % 3.81/3.96 Clause #6 (by clausification #[0]): ∀ (a : Iota), Eq (Or (big_f a) (big_g a) → Not (big_h a)) True % 3.81/3.96 Clause #7 (by clausification #[6]): ∀ (a : Iota), Or (Eq (Or (big_f a) (big_g a)) False) (Eq (Not (big_h a)) True) % 3.81/3.96 Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (Not (big_h a)) True) (Eq (big_g a) False) % 3.81/3.96 Clause #9 (by clausification #[7]): ∀ (a : Iota), Or (Eq (Not (big_h a)) True) (Eq (big_f a) False) % 3.81/3.96 Clause #10 (by clausification #[8]): ∀ (a : Iota), Or (Eq (big_g a) False) (Eq (big_h a) False) % 3.81/3.96 Clause #11 (by clausification #[9]): ∀ (a : Iota), Or (Eq (big_f a) False) (Eq (big_h a) False) % 3.81/3.96 Clause #12 (by clausification #[1]): ∀ (a : Iota), Eq ((big_g a → Not (big_i a)) → And (big_f a) (big_h a)) True % 3.81/3.96 Clause #13 (by clausification #[12]): ∀ (a : Iota), Or (Eq (big_g a → Not (big_i a)) False) (Eq (And (big_f a) (big_h a)) True) % 3.81/3.96 Clause #14 (by clausification #[13]): ∀ (a : Iota), Or (Eq (And (big_f a) (big_h a)) True) (Eq (big_g a) True) % 3.81/3.96 Clause #15 (by clausification #[13]): ∀ (a : Iota), Or (Eq (And (big_f a) (big_h a)) True) (Eq (Not (big_i a)) False) % 3.81/3.96 Clause #16 (by clausification #[14]): ∀ (a : Iota), Or (Eq (big_g a) True) (Eq (big_h a) True) % 3.81/3.96 Clause #17 (by clausification #[14]): ∀ (a : Iota), Or (Eq (big_g a) True) (Eq (big_f a) True) % 3.81/3.96 Clause #18 (by superposition #[17, 11]): ∀ (a : Iota), Or (Eq (big_g a) True) (Or (Eq True False) (Eq (big_h a) False)) % 3.81/3.96 Clause #19 (by clausification #[15]): ∀ (a : Iota), Or (Eq (Not (big_i a)) False) (Eq (big_h a) True) % 3.81/3.96 Clause #21 (by clausification #[19]): ∀ (a : Iota), Or (Eq (big_h a) True) (Eq (big_i a) True) % 3.81/3.96 Clause #24 (by clausification #[18]): ∀ (a : Iota), Or (Eq (big_g a) True) (Eq (big_h a) False) % 3.81/3.96 Clause #25 (by superposition #[24, 16]): ∀ (a : Iota), Or (Eq (big_g a) True) (Or (Eq (big_g a) True) (Eq False True)) % 3.81/3.96 Clause #29 (by clausification #[25]): ∀ (a : Iota), Or (Eq (big_g a) True) (Eq (big_g a) True) % 3.81/3.96 Clause #30 (by eliminate duplicate literals #[29]): ∀ (a : Iota), Eq (big_g a) True % 3.81/3.96 Clause #31 (by backward demodulation #[30, 10]): ∀ (a : Iota), Or (Eq True False) (Eq (big_h a) False) % 3.81/3.96 Clause #38 (by clausification #[31]): ∀ (a : Iota), Eq (big_h a) False % 3.81/3.96 Clause #40 (by superposition #[38, 21]): ∀ (a : Iota), Or (Eq False True) (Eq (big_i a) True) % 3.81/3.96 Clause #41 (by clausification #[40]): ∀ (a : Iota), Eq (big_i a) True % 3.81/3.96 Clause #44 (by superposition #[41, 5]): Eq True False % 3.81/3.96 Clause #45 (by clausification #[44]): False % 3.81/3.96 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------