%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN325+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n015.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 08:07:24 PM UTC 2025 % Result : Theorem 5.72s 5.97s % Output : Proof 5.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.11 % Problem : SYN325+1 : TPTP v9.2.0. Released v2.0.0. % 0.09/0.12 % Command : duper %s % 0.12/0.33 % Computer : n015.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Thu Oct 2 15:31:38 EDT 2025 % 0.12/0.33 % CPUTime : % 5.72/5.97 SZS status Theorem for theBenchmark.p % 5.72/5.97 SZS output start Proof for theBenchmark.p % 5.72/5.97 Clause #0 (by assumption #[]): Eq (Not (Exists fun X => ∀ (Y : Iota), ((big_f X X → big_f Y Y) → And (big_f X Y) (big_g X)) → big_g Y)) True % 5.72/5.97 Clause #1 (by clausification #[0]): Eq (Exists fun X => ∀ (Y : Iota), ((big_f X X → big_f Y Y) → And (big_f X Y) (big_g X)) → big_g Y) False % 5.72/5.97 Clause #2 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (Y : Iota), ((big_f a a → big_f Y Y) → And (big_f a Y) (big_g a)) → big_g Y) False % 5.72/5.97 Clause #3 (by clausification #[2]): ∀ (a a_1 : Iota), % 5.72/5.97 Eq % 5.72/5.97 (Not % 5.72/5.97 (((big_f a a → big_f (skS.0 0 a a_1) (skS.0 0 a a_1)) → And (big_f a (skS.0 0 a a_1)) (big_g a)) → % 5.72/5.97 big_g (skS.0 0 a a_1))) % 5.72/5.97 True % 5.72/5.97 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota), % 5.72/5.97 Eq % 5.72/5.97 (((big_f a a → big_f (skS.0 0 a a_1) (skS.0 0 a a_1)) → And (big_f a (skS.0 0 a a_1)) (big_g a)) → % 5.72/5.97 big_g (skS.0 0 a a_1)) % 5.72/5.97 False % 5.72/5.97 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), % 5.72/5.97 Eq ((big_f a a → big_f (skS.0 0 a a_1) (skS.0 0 a a_1)) → And (big_f a (skS.0 0 a a_1)) (big_g a)) True % 5.72/5.97 Clause #6 (by clausification #[4]): ∀ (a a_1 : Iota), Eq (big_g (skS.0 0 a a_1)) False % 5.72/5.97 Clause #7 (by clausification #[5]): ∀ (a a_1 : Iota), % 5.72/5.97 Or (Eq (big_f a a → big_f (skS.0 0 a a_1) (skS.0 0 a a_1)) False) (Eq (And (big_f a (skS.0 0 a a_1)) (big_g a)) True) % 5.72/5.97 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (And (big_f a (skS.0 0 a a_1)) (big_g a)) True) (Eq (big_f a a) True) % 5.72/5.97 Clause #9 (by clausification #[7]): ∀ (a a_1 : Iota), % 5.72/5.97 Or (Eq (And (big_f a (skS.0 0 a a_1)) (big_g a)) True) (Eq (big_f (skS.0 0 a a_1) (skS.0 0 a a_1)) False) % 5.72/5.97 Clause #10 (by clausification #[8]): ∀ (a : Iota), Or (Eq (big_f a a) True) (Eq (big_g a) True) % 5.72/5.97 Clause #12 (by clausification #[9]): ∀ (a a_1 : Iota), Or (Eq (big_f (skS.0 0 a a_1) (skS.0 0 a a_1)) False) (Eq (big_g a) True) % 5.72/5.97 Clause #14 (by superposition #[12, 10]): ∀ (a a_1 : Iota), Or (Eq (big_g a) True) (Or (Eq False True) (Eq (big_g (skS.0 0 a a_1)) True)) % 5.72/5.97 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Or (Eq (big_g a) True) (Eq (big_g (skS.0 0 a a_1)) True) % 5.72/5.97 Clause #16 (by superposition #[15, 6]): ∀ (a : Iota), Or (Eq (big_g a) True) (Eq True False) % 5.72/5.97 Clause #18 (by clausification #[16]): ∀ (a : Iota), Eq (big_g a) True % 5.72/5.97 Clause #22 (by superposition #[18, 6]): Eq True False % 5.72/5.97 Clause #23 (by clausification #[22]): False % 5.72/5.97 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------