%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN730+1 : TPTP v9.2.0. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n029.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 08:08:03 PM UTC 2025 % Result : Theorem 3.54s 3.75s % Output : Proof 3.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SYN730+1 : TPTP v9.2.0. Released v2.5.0. % 0.08/0.14 % Command : duper %s % 0.15/0.36 % Computer : n029.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 15:10:08 EDT 2025 % 0.15/0.36 % CPUTime : % 3.54/3.75 SZS status Theorem for theBenchmark.p % 3.54/3.75 SZS output start Proof for theBenchmark.p % 3.54/3.75 Clause #0 (by assumption #[]): Eq (Not (Exists fun V => ∀ (J : Iota), Exists fun Q => Or (p a J (h J)) (p V J (k J)) → p V J Q)) True % 3.54/3.75 Clause #1 (by clausification #[0]): Eq (Exists fun V => ∀ (J : Iota), Exists fun Q => Or (p a J (h J)) (p V J (k J)) → p V J Q) False % 3.54/3.75 Clause #2 (by clausification #[1]): ∀ (a_1 : Iota), Eq (∀ (J : Iota), Exists fun Q => Or (p a J (h J)) (p a_1 J (k J)) → p a_1 J Q) False % 3.54/3.75 Clause #3 (by clausification #[2]): ∀ (a_1 a_2 : Iota), % 3.54/3.75 Eq % 3.54/3.75 (Not % 3.54/3.75 (Exists fun Q => % 3.54/3.75 Or (p a (skS.0 0 a_1 a_2) (h (skS.0 0 a_1 a_2))) (p a_1 (skS.0 0 a_1 a_2) (k (skS.0 0 a_1 a_2))) → % 3.54/3.75 p a_1 (skS.0 0 a_1 a_2) Q)) % 3.54/3.75 True % 3.54/3.75 Clause #4 (by clausification #[3]): ∀ (a_1 a_2 : Iota), % 3.54/3.75 Eq % 3.54/3.75 (Exists fun Q => % 3.54/3.75 Or (p a (skS.0 0 a_1 a_2) (h (skS.0 0 a_1 a_2))) (p a_1 (skS.0 0 a_1 a_2) (k (skS.0 0 a_1 a_2))) → % 3.54/3.75 p a_1 (skS.0 0 a_1 a_2) Q) % 3.54/3.75 False % 3.54/3.75 Clause #5 (by clausification #[4]): ∀ (a_1 a_2 a_3 : Iota), % 3.54/3.75 Eq % 3.54/3.75 (Or (p a (skS.0 0 a_1 a_2) (h (skS.0 0 a_1 a_2))) (p a_1 (skS.0 0 a_1 a_2) (k (skS.0 0 a_1 a_2))) → % 3.54/3.75 p a_1 (skS.0 0 a_1 a_2) a_3) % 3.54/3.75 False % 3.54/3.75 Clause #6 (by clausification #[5]): ∀ (a_1 a_2 : Iota), % 3.54/3.75 Eq (Or (p a (skS.0 0 a_1 a_2) (h (skS.0 0 a_1 a_2))) (p a_1 (skS.0 0 a_1 a_2) (k (skS.0 0 a_1 a_2)))) True % 3.54/3.75 Clause #7 (by clausification #[5]): ∀ (a a_1 a_2 : Iota), Eq (p a (skS.0 0 a a_1) a_2) False % 3.54/3.75 Clause #8 (by clausification #[6]): ∀ (a_1 a_2 : Iota), % 3.54/3.75 Or (Eq (p a (skS.0 0 a_1 a_2) (h (skS.0 0 a_1 a_2))) True) (Eq (p a_1 (skS.0 0 a_1 a_2) (k (skS.0 0 a_1 a_2))) True) % 3.54/3.75 Clause #9 (by superposition #[7, 8]): ∀ (a_1 a_2 : Iota), Or (Eq (p a (skS.0 0 a_1 a_2) (h (skS.0 0 a_1 a_2))) True) (Eq True False) % 3.54/3.75 Clause #10 (by clausification #[9]): ∀ (a_1 a_2 : Iota), Eq (p a (skS.0 0 a_1 a_2) (h (skS.0 0 a_1 a_2))) True % 3.54/3.75 Clause #12 (by superposition #[10, 7]): Eq True False % 3.54/3.75 Clause #13 (by clausification #[12]): False % 3.54/3.75 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------