%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN336+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n010.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 08:07:25 PM UTC 2025 % Result : Theorem 3.73s 3.90s % Output : Proof 3.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SYN336+1 : TPTP v9.2.0. Released v2.0.0. % 0.13/0.14 % Command : duper %s % 0.13/0.35 % Computer : n010.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Thu Oct 2 15:22:08 EDT 2025 % 0.13/0.35 % CPUTime : % 3.73/3.90 SZS status Theorem for theBenchmark.p % 3.73/3.90 SZS output start Proof for theBenchmark.p % 3.73/3.90 Clause #0 (by assumption #[]): Eq % 3.73/3.90 (Not % 3.73/3.90 (∀ (X : Iota), % 3.73/3.90 Exists fun Y1 => Exists fun Y2 => ∀ (Z : Iota), big_f X Z → big_f Y1 Z → big_f Y2 Z → big_f Y1 X → big_f Z Y2)) % 3.73/3.90 True % 3.73/3.90 Clause #1 (by clausification #[0]): Eq % 3.73/3.90 (∀ (X : Iota), % 3.73/3.90 Exists fun Y1 => Exists fun Y2 => ∀ (Z : Iota), big_f X Z → big_f Y1 Z → big_f Y2 Z → big_f Y1 X → big_f Z Y2) % 3.73/3.90 False % 3.73/3.90 Clause #2 (by clausification #[1]): ∀ (a : Iota), % 3.73/3.90 Eq % 3.73/3.90 (Not % 3.73/3.90 (Exists fun Y1 => % 3.73/3.90 Exists fun Y2 => % 3.73/3.90 ∀ (Z : Iota), big_f (skS.0 0 a) Z → big_f Y1 Z → big_f Y2 Z → big_f Y1 (skS.0 0 a) → big_f Z Y2)) % 3.73/3.90 True % 3.73/3.90 Clause #3 (by clausification #[2]): ∀ (a : Iota), % 3.73/3.90 Eq % 3.73/3.90 (Exists fun Y1 => % 3.73/3.90 Exists fun Y2 => ∀ (Z : Iota), big_f (skS.0 0 a) Z → big_f Y1 Z → big_f Y2 Z → big_f Y1 (skS.0 0 a) → big_f Z Y2) % 3.73/3.90 False % 3.73/3.90 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota), % 3.73/3.90 Eq % 3.73/3.90 (Exists fun Y2 => ∀ (Z : Iota), big_f (skS.0 0 a) Z → big_f a_1 Z → big_f Y2 Z → big_f a_1 (skS.0 0 a) → big_f Z Y2) % 3.73/3.90 False % 3.73/3.90 Clause #5 (by clausification #[4]): ∀ (a a_1 a_2 : Iota), % 3.73/3.90 Eq (∀ (Z : Iota), big_f (skS.0 0 a) Z → big_f a_1 Z → big_f a_2 Z → big_f a_1 (skS.0 0 a) → big_f Z a_2) False % 3.73/3.90 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 a_3 : Iota), % 3.73/3.90 Eq % 3.73/3.90 (Not % 3.73/3.90 (big_f (skS.0 0 a) (skS.0 1 a a_1 a_2 a_3) → % 3.73/3.90 big_f a_1 (skS.0 1 a a_1 a_2 a_3) → % 3.73/3.90 big_f a_2 (skS.0 1 a a_1 a_2 a_3) → big_f a_1 (skS.0 0 a) → big_f (skS.0 1 a a_1 a_2 a_3) a_2)) % 3.73/3.90 True % 3.73/3.90 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 a_3 : Iota), % 3.73/3.90 Eq % 3.73/3.90 (big_f (skS.0 0 a) (skS.0 1 a a_1 a_2 a_3) → % 3.73/3.90 big_f a_1 (skS.0 1 a a_1 a_2 a_3) → % 3.73/3.90 big_f a_2 (skS.0 1 a a_1 a_2 a_3) → big_f a_1 (skS.0 0 a) → big_f (skS.0 1 a a_1 a_2 a_3) a_2) % 3.73/3.90 False % 3.73/3.90 Clause #9 (by clausification #[7]): ∀ (a a_1 a_2 a_3 : Iota), % 3.73/3.90 Eq % 3.73/3.90 (big_f a (skS.0 1 a_1 a a_2 a_3) → % 3.73/3.90 big_f a_2 (skS.0 1 a_1 a a_2 a_3) → big_f a (skS.0 0 a_1) → big_f (skS.0 1 a_1 a a_2 a_3) a_2) % 3.73/3.90 False % 3.73/3.90 Clause #11 (by clausification #[9]): ∀ (a a_1 a_2 a_3 : Iota), % 3.73/3.90 Eq (big_f a (skS.0 1 a_1 a_2 a a_3) → big_f a_2 (skS.0 0 a_1) → big_f (skS.0 1 a_1 a_2 a a_3) a) False % 3.73/3.90 Clause #13 (by clausification #[11]): ∀ (a a_1 a_2 a_3 : Iota), Eq (big_f a (skS.0 0 a_1) → big_f (skS.0 1 a_1 a a_2 a_3) a_2) False % 3.73/3.90 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (big_f a (skS.0 0 a_1)) True % 3.73/3.90 Clause #15 (by clausification #[13]): ∀ (a a_1 a_2 a_3 : Iota), Eq (big_f (skS.0 1 a a_1 a_2 a_3) a_2) False % 3.73/3.90 Clause #16 (by superposition #[15, 14]): Eq False True % 3.73/3.90 Clause #17 (by clausification #[16]): False % 3.73/3.90 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------