%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO885^1.033.003 : TPTP v9.2.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n028.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 08:09:37 PM UTC 2025 % Result : Theorem 3.46s 3.64s % Output : Proof 3.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYO885^1.033.003 : TPTP v9.2.0. Released v7.5.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n028.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Oct 3 13:51:38 EDT 2025 % 0.13/0.34 % CPUTime : % 3.46/3.64 SZS status Theorem for theBenchmark.p % 3.46/3.64 SZS output start Proof for theBenchmark.p % 3.46/3.64 Clause #0 (by assumption #[]): Eq % 3.46/3.64 (Not % 3.46/3.64 (Exists fun F => % 3.46/3.64 And (And (Eq (F a0 a1 a2) (f a0 a1 a2)) (Eq (F a0 a2 a1) (f a0 a1 a2))) (Eq (F a2 a1 a0) (f a0 a1 a2)))) % 3.46/3.64 True % 3.46/3.64 Clause #1 (by clausification #[0]): Eq % 3.46/3.64 (Exists fun F => % 3.46/3.64 And (And (Eq (F a0 a1 a2) (f a0 a1 a2)) (Eq (F a0 a2 a1) (f a0 a1 a2))) (Eq (F a2 a1 a0) (f a0 a1 a2))) % 3.46/3.64 False % 3.46/3.64 Clause #2 (by clausification #[1]): ∀ (a : Iota → Iota → Iota → Iota), % 3.46/3.64 Eq (And (And (Eq (a a0 a1 a2) (f a0 a1 a2)) (Eq (a a0 a2 a1) (f a0 a1 a2))) (Eq (a a2 a1 a0) (f a0 a1 a2))) False % 3.46/3.64 Clause #3 (by clausification #[2]): ∀ (a : Iota → Iota → Iota → Iota), % 3.46/3.64 Or (Eq (And (Eq (a a0 a1 a2) (f a0 a1 a2)) (Eq (a a0 a2 a1) (f a0 a1 a2))) False) % 3.46/3.64 (Eq (Eq (a a2 a1 a0) (f a0 a1 a2)) False) % 3.46/3.64 Clause #4 (by clausification #[3]): ∀ (a : Iota → Iota → Iota → Iota), % 3.46/3.64 Or (Eq (Eq (a a2 a1 a0) (f a0 a1 a2)) False) % 3.46/3.64 (Or (Eq (Eq (a a0 a1 a2) (f a0 a1 a2)) False) (Eq (Eq (a a0 a2 a1) (f a0 a1 a2)) False)) % 3.46/3.64 Clause #5 (by clausification #[4]): ∀ (a : Iota → Iota → Iota → Iota), % 3.46/3.64 Or (Eq (Eq (a a0 a1 a2) (f a0 a1 a2)) False) % 3.46/3.64 (Or (Eq (Eq (a a0 a2 a1) (f a0 a1 a2)) False) (Ne (a a2 a1 a0) (f a0 a1 a2))) % 3.46/3.64 Clause #6 (by clausification #[5]): ∀ (a : Iota → Iota → Iota → Iota), % 3.46/3.64 Or (Eq (Eq (a a0 a2 a1) (f a0 a1 a2)) False) (Or (Ne (a a2 a1 a0) (f a0 a1 a2)) (Ne (a a0 a1 a2) (f a0 a1 a2))) % 3.46/3.64 Clause #7 (by clausification #[6]): ∀ (a : Iota → Iota → Iota → Iota), % 3.46/3.64 Or (Ne (a a2 a1 a0) (f a0 a1 a2)) (Or (Ne (a a0 a1 a2) (f a0 a1 a2)) (Ne (a a0 a2 a1) (f a0 a1 a2))) % 3.46/3.64 Clause #8 (by equality resolution #[7]): Or (Ne ((fun x x x => f a0 a1 a2) a0 a1 a2) (f a0 a1 a2)) (Ne ((fun x x x => f a0 a1 a2) a0 a2 a1) (f a0 a1 a2)) % 3.46/3.64 Clause #9 (by betaEtaReduce #[8]): Or (Ne (f a0 a1 a2) (f a0 a1 a2)) (Ne (f a0 a1 a2) (f a0 a1 a2)) % 3.46/3.64 Clause #10 (by eliminate duplicate literals #[9]): Ne (f a0 a1 a2) (f a0 a1 a2) % 3.46/3.64 Clause #11 (by eliminate resolved literals #[10]): False % 3.46/3.64 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------