%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN942+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n012.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 08:08:17 PM UTC 2025 % Result : Theorem 3.56s 3.73s % Output : Proof 3.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYN942+1 : TPTP v9.2.0. Released v3.1.0. % 0.07/0.14 % Command : duper %s % 0.15/0.36 % Computer : n012.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 300 % 0.15/0.36 % DateTime : Thu Oct 2 15:11:23 EDT 2025 % 0.15/0.36 % CPUTime : % 3.56/3.73 SZS status Theorem for theBenchmark.p % 3.56/3.73 SZS output start Proof for theBenchmark.p % 3.56/3.73 Clause #0 (by assumption #[]): Eq (Not (And (∀ (X : Iota), a X → Or (b X) (c X)) (Not (∀ (X : Iota), a X → b X)) → Exists fun X => And (a X) (c X))) % 3.56/3.73 True % 3.56/3.73 Clause #1 (by clausification #[0]): Eq (And (∀ (X : Iota), a X → Or (b X) (c X)) (Not (∀ (X : Iota), a X → b X)) → Exists fun X => And (a X) (c X)) False % 3.56/3.73 Clause #2 (by clausification #[1]): Eq (And (∀ (X : Iota), a X → Or (b X) (c X)) (Not (∀ (X : Iota), a X → b X))) True % 3.56/3.73 Clause #3 (by clausification #[1]): Eq (Exists fun X => And (a X) (c X)) False % 3.56/3.73 Clause #4 (by clausification #[2]): Eq (Not (∀ (X : Iota), a X → b X)) True % 3.56/3.73 Clause #5 (by clausification #[2]): Eq (∀ (X : Iota), a X → Or (b X) (c X)) True % 3.56/3.73 Clause #6 (by clausification #[4]): Eq (∀ (X : Iota), a X → b X) False % 3.56/3.73 Clause #7 (by clausification #[6]): ∀ (a_1 : Iota), Eq (Not (a (skS.0 0 a_1) → b (skS.0 0 a_1))) True % 3.56/3.73 Clause #8 (by clausification #[7]): ∀ (a_1 : Iota), Eq (a (skS.0 0 a_1) → b (skS.0 0 a_1)) False % 3.56/3.73 Clause #9 (by clausification #[8]): ∀ (a_1 : Iota), Eq (a (skS.0 0 a_1)) True % 3.56/3.73 Clause #10 (by clausification #[8]): ∀ (a : Iota), Eq (b (skS.0 0 a)) False % 3.56/3.73 Clause #11 (by clausification #[5]): ∀ (a_1 : Iota), Eq (a a_1 → Or (b a_1) (c a_1)) True % 3.56/3.73 Clause #12 (by clausification #[11]): ∀ (a_1 : Iota), Or (Eq (a a_1) False) (Eq (Or (b a_1) (c a_1)) True) % 3.56/3.73 Clause #13 (by clausification #[12]): ∀ (a_1 : Iota), Or (Eq (a a_1) False) (Or (Eq (b a_1) True) (Eq (c a_1) True)) % 3.56/3.73 Clause #14 (by superposition #[13, 9]): ∀ (a : Iota), Or (Eq (b (skS.0 0 a)) True) (Or (Eq (c (skS.0 0 a)) True) (Eq False True)) % 3.56/3.73 Clause #15 (by clausification #[3]): ∀ (a_1 : Iota), Eq (And (a a_1) (c a_1)) False % 3.56/3.73 Clause #16 (by clausification #[15]): ∀ (a_1 : Iota), Or (Eq (a a_1) False) (Eq (c a_1) False) % 3.56/3.73 Clause #17 (by superposition #[16, 9]): ∀ (a : Iota), Or (Eq (c (skS.0 0 a)) False) (Eq False True) % 3.56/3.73 Clause #18 (by clausification #[17]): ∀ (a : Iota), Eq (c (skS.0 0 a)) False % 3.56/3.73 Clause #19 (by clausification #[14]): ∀ (a : Iota), Or (Eq (b (skS.0 0 a)) True) (Eq (c (skS.0 0 a)) True) % 3.56/3.73 Clause #20 (by forward demodulation #[19, 10]): ∀ (a : Iota), Or (Eq False True) (Eq (c (skS.0 0 a)) True) % 3.56/3.73 Clause #21 (by clausification #[20]): ∀ (a : Iota), Eq (c (skS.0 0 a)) True % 3.56/3.73 Clause #22 (by superposition #[21, 18]): Eq True False % 3.56/3.73 Clause #23 (by clausification #[22]): False % 3.56/3.73 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------