%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN079+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n019.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 08:07:08 PM UTC 2025 % Result : Theorem 3.56s 3.77s % Output : Proof 3.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SYN079+1 : TPTP v9.2.0. Released v2.0.0. % 0.12/0.13 % Command : duper %s % 0.13/0.34 % Computer : n019.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 15:39:53 EDT 2025 % 0.13/0.34 % CPUTime : % 3.56/3.77 SZS status Theorem for theBenchmark.p % 3.56/3.77 SZS output start Proof for theBenchmark.p % 3.56/3.77 Clause #0 (by assumption #[]): Eq (big_f (f a b) (f b c)) True % 3.56/3.77 Clause #1 (by assumption #[]): Eq (big_f (f b c) (f a c)) True % 3.56/3.77 Clause #2 (by assumption #[]): Eq (∀ (X Y Z : Iota), And (big_f X Y) (big_f Y Z) → big_f X Z) True % 3.56/3.77 Clause #3 (by assumption #[]): Eq (Not (big_f (f a b) (f a c))) True % 3.56/3.77 Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (Y Z : Iota), And (big_f a Y) (big_f Y Z) → big_f a Z) True % 3.56/3.77 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), Eq (∀ (Z : Iota), And (big_f a a_1) (big_f a_1 Z) → big_f a Z) True % 3.56/3.77 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 : Iota), Eq (And (big_f a a_1) (big_f a_1 a_2) → big_f a a_2) True % 3.56/3.77 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (big_f a a_1) (big_f a_1 a_2)) False) (Eq (big_f a a_2) True) % 3.56/3.77 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 : Iota), Or (Eq (big_f a a_1) True) (Or (Eq (big_f a a_2) False) (Eq (big_f a_2 a_1) False)) % 3.56/3.77 Clause #10 (by superposition #[0, 8]): ∀ (a_1 : Iota), Or (Eq (big_f (f a b) a_1) True) (Or (Eq (big_f (f b c) a_1) False) (Eq False True)) % 3.56/3.77 Clause #11 (by clausification #[3]): Eq (big_f (f a b) (f a c)) False % 3.56/3.77 Clause #13 (by clausification #[10]): ∀ (a_1 : Iota), Or (Eq (big_f (f a b) a_1) True) (Eq (big_f (f b c) a_1) False) % 3.56/3.77 Clause #14 (by superposition #[13, 1]): Or (Eq (big_f (f a b) (f a c)) True) (Eq False True) % 3.56/3.77 Clause #15 (by clausification #[14]): Eq (big_f (f a b) (f a c)) True % 3.56/3.77 Clause #16 (by superposition #[15, 11]): Eq True False % 3.56/3.77 Clause #18 (by clausification #[16]): False % 3.56/3.77 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------