%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO305^5 : TPTP v9.2.0. Released v4.0.0. % 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 08:08:52 PM UTC 2025 % Result : Theorem 3.41s 3.61s % Output : Proof 3.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYO305^5 : TPTP v9.2.0. Released v4.0.0. % 0.13/0.14 % Command : duper %s % 0.14/0.35 % Computer : n019.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Fri Oct 3 12:57:53 EDT 2025 % 0.14/0.35 % CPUTime : % 3.41/3.61 SZS status Theorem for theBenchmark.p % 3.41/3.61 SZS output start Proof for theBenchmark.p % 3.41/3.61 Clause #0 (by assumption #[]): Eq % 3.41/3.61 (Not % 3.41/3.61 ((∀ (Z1 : Iota), cA Z1 → cB Z1) → % 3.41/3.61 ∀ (Z1 : Iota → Prop), (∀ (Z3 : Iota), Z1 Z3 → cA Z3) → ∀ (Z3 : Iota), Z1 Z3 → cB Z3)) % 3.41/3.61 True % 3.41/3.61 Clause #1 (by clausification #[0]): Eq % 3.41/3.61 ((∀ (Z1 : Iota), cA Z1 → cB Z1) → ∀ (Z1 : Iota → Prop), (∀ (Z3 : Iota), Z1 Z3 → cA Z3) → ∀ (Z3 : Iota), Z1 Z3 → cB Z3) % 3.41/3.61 False % 3.41/3.61 Clause #2 (by clausification #[1]): Eq (∀ (Z1 : Iota), cA Z1 → cB Z1) True % 3.41/3.61 Clause #3 (by clausification #[1]): Eq (∀ (Z1 : Iota → Prop), (∀ (Z3 : Iota), Z1 Z3 → cA Z3) → ∀ (Z3 : Iota), Z1 Z3 → cB Z3) False % 3.41/3.61 Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (cA a → cB a) True % 3.41/3.61 Clause #5 (by clausification #[4]): ∀ (a : Iota), Or (Eq (cA a) False) (Eq (cB a) True) % 3.41/3.61 Clause #6 (by clausification #[3]): ∀ (a : Iota → Prop), Eq (Not ((∀ (Z3 : Iota), skS.0 0 a Z3 → cA Z3) → ∀ (Z3 : Iota), skS.0 0 a Z3 → cB Z3)) True % 3.41/3.61 Clause #7 (by clausification #[6]): ∀ (a : Iota → Prop), Eq ((∀ (Z3 : Iota), skS.0 0 a Z3 → cA Z3) → ∀ (Z3 : Iota), skS.0 0 a Z3 → cB Z3) False % 3.41/3.61 Clause #8 (by clausification #[7]): ∀ (a : Iota → Prop), Eq (∀ (Z3 : Iota), skS.0 0 a Z3 → cA Z3) True % 3.41/3.61 Clause #9 (by clausification #[7]): ∀ (a : Iota → Prop), Eq (∀ (Z3 : Iota), skS.0 0 a Z3 → cB Z3) False % 3.41/3.61 Clause #10 (by clausification #[8]): ∀ (a : Iota → Prop) (a_1 : Iota), Eq (skS.0 0 a a_1 → cA a_1) True % 3.41/3.61 Clause #11 (by clausification #[10]): ∀ (a : Iota → Prop) (a_1 : Iota), Or (Eq (skS.0 0 a a_1) False) (Eq (cA a_1) True) % 3.41/3.61 Clause #12 (by clausification #[9]): ∀ (a : Iota → Prop) (a_1 : Iota), Eq (Not (skS.0 0 a (skS.0 1 a a_1) → cB (skS.0 1 a a_1))) True % 3.41/3.61 Clause #13 (by clausification #[12]): ∀ (a : Iota → Prop) (a_1 : Iota), Eq (skS.0 0 a (skS.0 1 a a_1) → cB (skS.0 1 a a_1)) False % 3.41/3.61 Clause #14 (by clausification #[13]): ∀ (a : Iota → Prop) (a_1 : Iota), Eq (skS.0 0 a (skS.0 1 a a_1)) True % 3.41/3.61 Clause #15 (by clausification #[13]): ∀ (a : Iota → Prop) (a_1 : Iota), Eq (cB (skS.0 1 a a_1)) False % 3.41/3.61 Clause #16 (by superposition #[14, 11]): ∀ (a : Iota → Prop) (a_1 : Iota), Or (Eq True False) (Eq (cA (skS.0 1 a a_1)) True) % 3.41/3.61 Clause #17 (by clausification #[16]): ∀ (a : Iota → Prop) (a_1 : Iota), Eq (cA (skS.0 1 a a_1)) True % 3.41/3.61 Clause #18 (by superposition #[17, 5]): ∀ (a : Iota → Prop) (a_1 : Iota), Or (Eq True False) (Eq (cB (skS.0 1 a a_1)) True) % 3.41/3.61 Clause #19 (by clausification #[18]): ∀ (a : Iota → Prop) (a_1 : Iota), Eq (cB (skS.0 1 a a_1)) True % 3.41/3.61 Clause #20 (by superposition #[19, 15]): Eq True False % 3.41/3.61 Clause #21 (by clausification #[20]): False % 3.41/3.61 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------