%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN062+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n008.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 4.70s 5.06s % Output : Proof 4.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.18 % Problem : SYN062+1 : TPTP v9.2.0. Released v2.0.0. % 0.09/0.19 % Command : duper %s % 0.09/0.40 % Computer : n008.cluster.edu % 0.09/0.40 % Model : x86_64 x86_64 % 0.09/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.40 % Memory : 8042.1875MB % 0.09/0.40 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.40 % CPULimit : 300 % 0.09/0.40 % WCLimit : 300 % 0.09/0.40 % DateTime : Thu Oct 2 15:11:53 EDT 2025 % 0.09/0.40 % CPUTime : % 4.70/5.06 SZS status Theorem for theBenchmark.p % 4.70/5.06 SZS output start Proof for theBenchmark.p % 4.70/5.06 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (big_f X) (Or (big_g X) (big_h X)) → big_i X) True % 4.70/5.06 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), And (big_i X) (big_h X) → big_j X) True % 4.70/5.06 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), big_k X → big_h X) True % 4.70/5.06 Clause #3 (by assumption #[]): Eq (Not (∀ (X : Iota), And (big_f X) (big_k X) → big_j X)) True % 4.70/5.06 Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (big_k a → big_h a) True % 4.70/5.06 Clause #5 (by clausification #[4]): ∀ (a : Iota), Or (Eq (big_k a) False) (Eq (big_h a) True) % 4.70/5.06 Clause #6 (by clausification #[1]): ∀ (a : Iota), Eq (And (big_i a) (big_h a) → big_j a) True % 4.70/5.06 Clause #7 (by clausification #[6]): ∀ (a : Iota), Or (Eq (And (big_i a) (big_h a)) False) (Eq (big_j a) True) % 4.70/5.06 Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (big_j a) True) (Or (Eq (big_i a) False) (Eq (big_h a) False)) % 4.70/5.06 Clause #9 (by clausification #[0]): ∀ (a : Iota), Eq (And (big_f a) (Or (big_g a) (big_h a)) → big_i a) True % 4.70/5.06 Clause #10 (by clausification #[9]): ∀ (a : Iota), Or (Eq (And (big_f a) (Or (big_g a) (big_h a))) False) (Eq (big_i a) True) % 4.70/5.06 Clause #11 (by clausification #[10]): ∀ (a : Iota), Or (Eq (big_i a) True) (Or (Eq (big_f a) False) (Eq (Or (big_g a) (big_h a)) False)) % 4.70/5.06 Clause #12 (by clausification #[11]): ∀ (a : Iota), Or (Eq (big_i a) True) (Or (Eq (big_f a) False) (Eq (big_h a) False)) % 4.70/5.06 Clause #14 (by clausification #[3]): Eq (∀ (X : Iota), And (big_f X) (big_k X) → big_j X) False % 4.70/5.06 Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (Not (And (big_f (skS.0 0 a)) (big_k (skS.0 0 a)) → big_j (skS.0 0 a))) True % 4.70/5.06 Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (And (big_f (skS.0 0 a)) (big_k (skS.0 0 a)) → big_j (skS.0 0 a)) False % 4.70/5.06 Clause #17 (by clausification #[16]): ∀ (a : Iota), Eq (And (big_f (skS.0 0 a)) (big_k (skS.0 0 a))) True % 4.70/5.06 Clause #18 (by clausification #[16]): ∀ (a : Iota), Eq (big_j (skS.0 0 a)) False % 4.70/5.06 Clause #19 (by clausification #[17]): ∀ (a : Iota), Eq (big_k (skS.0 0 a)) True % 4.70/5.06 Clause #20 (by clausification #[17]): ∀ (a : Iota), Eq (big_f (skS.0 0 a)) True % 4.70/5.06 Clause #21 (by superposition #[19, 5]): ∀ (a : Iota), Or (Eq True False) (Eq (big_h (skS.0 0 a)) True) % 4.70/5.06 Clause #22 (by superposition #[20, 12]): ∀ (a : Iota), Or (Eq (big_i (skS.0 0 a)) True) (Or (Eq True False) (Eq (big_h (skS.0 0 a)) False)) % 4.70/5.06 Clause #24 (by clausification #[21]): ∀ (a : Iota), Eq (big_h (skS.0 0 a)) True % 4.70/5.06 Clause #26 (by clausification #[22]): ∀ (a : Iota), Or (Eq (big_i (skS.0 0 a)) True) (Eq (big_h (skS.0 0 a)) False) % 4.70/5.06 Clause #27 (by forward demodulation #[26, 24]): ∀ (a : Iota), Or (Eq (big_i (skS.0 0 a)) True) (Eq True False) % 4.70/5.06 Clause #28 (by clausification #[27]): ∀ (a : Iota), Eq (big_i (skS.0 0 a)) True % 4.70/5.06 Clause #29 (by superposition #[28, 8]): ∀ (a : Iota), Or (Eq (big_j (skS.0 0 a)) True) (Or (Eq True False) (Eq (big_h (skS.0 0 a)) False)) % 4.70/5.06 Clause #30 (by clausification #[29]): ∀ (a : Iota), Or (Eq (big_j (skS.0 0 a)) True) (Eq (big_h (skS.0 0 a)) False) % 4.70/5.06 Clause #31 (by forward demodulation #[30, 24]): ∀ (a : Iota), Or (Eq (big_j (skS.0 0 a)) True) (Eq True False) % 4.70/5.06 Clause #32 (by clausification #[31]): ∀ (a : Iota), Eq (big_j (skS.0 0 a)) True % 4.70/5.06 Clause #33 (by superposition #[32, 18]): Eq True False % 4.70/5.06 Clause #34 (by clausification #[33]): False % 4.70/5.06 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------