%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN722+1 : TPTP v9.2.0. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n022.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 08:08:02 PM UTC 2025 % Result : Theorem 3.36s 3.58s % Output : Proof 3.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN722+1 : TPTP v9.2.0. Released v2.5.0. % 0.07/0.13 % Command : duper %s % 0.14/0.34 % Computer : n022.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Thu Oct 2 15:38:53 EDT 2025 % 0.14/0.35 % CPUTime : % 3.36/3.58 SZS status Theorem for theBenchmark.p % 3.36/3.58 SZS output start Proof for theBenchmark.p % 3.36/3.58 Clause #0 (by assumption #[]): Eq % 3.36/3.58 (Not % 3.36/3.58 (Not % 3.36/3.58 (And % 3.36/3.58 (And (∀ (Z : Iota), And (Or (p Z) (r Z)) (q Z)) % 3.36/3.58 (∀ (X : Iota), Exists fun Y => Or (Or (Or (Or (p X) (Not (q X))) (Not (q Y))) (Not (q c))) (Not (q d)))) % 3.36/3.58 (Or (Not (p a)) (Not (p b)))))) % 3.36/3.58 True % 3.36/3.58 Clause #1 (by clausification #[0]): Eq % 3.36/3.58 (Not % 3.36/3.58 (And % 3.36/3.58 (And (∀ (Z : Iota), And (Or (p Z) (r Z)) (q Z)) % 3.36/3.58 (∀ (X : Iota), Exists fun Y => Or (Or (Or (Or (p X) (Not (q X))) (Not (q Y))) (Not (q c))) (Not (q d)))) % 3.36/3.58 (Or (Not (p a)) (Not (p b))))) % 3.36/3.58 False % 3.36/3.58 Clause #2 (by clausification #[1]): Eq % 3.36/3.58 (And % 3.36/3.58 (And (∀ (Z : Iota), And (Or (p Z) (r Z)) (q Z)) % 3.36/3.58 (∀ (X : Iota), Exists fun Y => Or (Or (Or (Or (p X) (Not (q X))) (Not (q Y))) (Not (q c))) (Not (q d)))) % 3.36/3.58 (Or (Not (p a)) (Not (p b)))) % 3.36/3.58 True % 3.36/3.58 Clause #3 (by clausification #[2]): Eq (Or (Not (p a)) (Not (p b))) True % 3.36/3.58 Clause #4 (by clausification #[2]): Eq % 3.36/3.58 (And (∀ (Z : Iota), And (Or (p Z) (r Z)) (q Z)) % 3.36/3.58 (∀ (X : Iota), Exists fun Y => Or (Or (Or (Or (p X) (Not (q X))) (Not (q Y))) (Not (q c))) (Not (q d)))) % 3.36/3.58 True % 3.36/3.58 Clause #5 (by clausification #[3]): Or (Eq (Not (p a)) True) (Eq (Not (p b)) True) % 3.36/3.58 Clause #6 (by clausification #[5]): Or (Eq (Not (p b)) True) (Eq (p a) False) % 3.36/3.58 Clause #7 (by clausification #[6]): Or (Eq (p a) False) (Eq (p b) False) % 3.36/3.58 Clause #8 (by clausification #[4]): Eq (∀ (X : Iota), Exists fun Y => Or (Or (Or (Or (p X) (Not (q X))) (Not (q Y))) (Not (q c))) (Not (q d))) True % 3.36/3.58 Clause #9 (by clausification #[4]): Eq (∀ (Z : Iota), And (Or (p Z) (r Z)) (q Z)) True % 3.36/3.58 Clause #10 (by clausification #[8]): ∀ (a : Iota), Eq (Exists fun Y => Or (Or (Or (Or (p a) (Not (q a))) (Not (q Y))) (Not (q c))) (Not (q d))) True % 3.36/3.58 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (Or (Or (Or (Or (p a) (Not (q a))) (Not (q (skS.0 0 a a_1)))) (Not (q c))) (Not (q d))) True % 3.36/3.58 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), % 3.36/3.58 Or (Eq (Or (Or (Or (p a) (Not (q a))) (Not (q (skS.0 0 a a_1)))) (Not (q c))) True) (Eq (Not (q d)) True) % 3.36/3.58 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), % 3.36/3.58 Or (Eq (Not (q d)) True) (Or (Eq (Or (Or (p a) (Not (q a))) (Not (q (skS.0 0 a a_1)))) True) (Eq (Not (q c)) True)) % 3.36/3.58 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), % 3.36/3.58 Or (Eq (Or (Or (p a) (Not (q a))) (Not (q (skS.0 0 a a_1)))) True) (Or (Eq (Not (q c)) True) (Eq (q d) False)) % 3.36/3.58 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), % 3.36/3.58 Or (Eq (Not (q c)) True) % 3.36/3.58 (Or (Eq (q d) False) (Or (Eq (Or (p a) (Not (q a))) True) (Eq (Not (q (skS.0 0 a a_1))) True))) % 3.36/3.58 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), % 3.36/3.58 Or (Eq (q d) False) (Or (Eq (Or (p a) (Not (q a))) True) (Or (Eq (Not (q (skS.0 0 a a_1))) True) (Eq (q c) False))) % 3.36/3.58 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), % 3.36/3.58 Or (Eq (q d) False) % 3.36/3.58 (Or (Eq (Not (q (skS.0 0 a a_1))) True) (Or (Eq (q c) False) (Or (Eq (p a) True) (Eq (Not (q a)) True)))) % 3.36/3.58 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), % 3.36/3.58 Or (Eq (q d) False) % 3.36/3.58 (Or (Eq (q c) False) (Or (Eq (p a) True) (Or (Eq (Not (q a)) True) (Eq (q (skS.0 0 a a_1)) False)))) % 3.36/3.58 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), % 3.36/3.58 Or (Eq (q d) False) (Or (Eq (q c) False) (Or (Eq (p a) True) (Or (Eq (q (skS.0 0 a a_1)) False) (Eq (q a) False)))) % 3.36/3.58 Clause #20 (by clausification #[9]): ∀ (a : Iota), Eq (And (Or (p a) (r a)) (q a)) True % 3.36/3.58 Clause #21 (by clausification #[20]): ∀ (a : Iota), Eq (q a) True % 3.36/3.58 Clause #23 (by backward demodulation #[21, 19]): ∀ (a a_1 : Iota), % 3.36/3.58 Or (Eq True False) (Or (Eq (q c) False) (Or (Eq (p a) True) (Or (Eq (q (skS.0 0 a a_1)) False) (Eq (q a) False)))) % 3.36/3.58 Clause #28 (by clausification #[23]): ∀ (a a_1 : Iota), Or (Eq (q c) False) (Or (Eq (p a) True) (Or (Eq (q (skS.0 0 a a_1)) False) (Eq (q a) False))) % 3.36/3.58 Clause #29 (by forward demodulation #[28, 21]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (p a) True) (Or (Eq (q (skS.0 0 a a_1)) False) (Eq (q a) False))) % 3.36/3.58 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota), Or (Eq (p a) True) (Or (Eq (q (skS.0 0 a a_1)) False) (Eq (q a) False)) % 3.44/3.59 Clause #31 (by forward demodulation #[30, 21]): ∀ (a a_1 : Iota), Or (Eq (p a) True) (Or (Eq (q (skS.0 0 a a_1)) False) (Eq True False)) % 3.44/3.59 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Or (Eq (p a) True) (Eq (q (skS.0 0 a a_1)) False) % 3.44/3.59 Clause #33 (by superposition #[32, 21]): ∀ (a : Iota), Or (Eq (p a) True) (Eq False True) % 3.44/3.59 Clause #34 (by clausification #[33]): ∀ (a : Iota), Eq (p a) True % 3.44/3.59 Clause #35 (by backward demodulation #[34, 7]): Or (Eq (p a) False) (Eq True False) % 3.44/3.59 Clause #40 (by clausification #[35]): Eq (p a) False % 3.44/3.59 Clause #41 (by superposition #[40, 34]): Eq False True % 3.44/3.59 Clause #42 (by clausification #[41]): False % 3.44/3.59 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------