%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO093^5 : TPTP v9.2.0. Released v4.0.0. % 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 08:08:35 PM UTC 2025 % Result : Theorem 3.37s 3.61s % Output : Proof 3.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : SYO093^5 : TPTP v9.2.0. Released v4.0.0. % 0.08/0.13 % Command : duper %s % 0.13/0.34 % Computer : n029.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 13:04:08 EDT 2025 % 0.13/0.35 % CPUTime : % 3.37/3.61 SZS status Theorem for theBenchmark.p % 3.37/3.61 SZS output start Proof for theBenchmark.p % 3.37/3.61 Clause #0 (by assumption #[]): Eq (Not ((∀ (U V W : Iota), Or (cP U V) (cP V W)) → Exists fun X => ∀ (Y : Iota), cP X Y)) True % 3.37/3.61 Clause #1 (by clausification #[0]): Eq ((∀ (U V W : Iota), Or (cP U V) (cP V W)) → Exists fun X => ∀ (Y : Iota), cP X Y) False % 3.37/3.61 Clause #2 (by clausification #[1]): Eq (∀ (U V W : Iota), Or (cP U V) (cP V W)) True % 3.37/3.61 Clause #3 (by clausification #[1]): Eq (Exists fun X => ∀ (Y : Iota), cP X Y) False % 3.37/3.61 Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (V W : Iota), Or (cP a V) (cP V W)) True % 3.37/3.61 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), Eq (∀ (W : Iota), Or (cP a a_1) (cP a_1 W)) True % 3.37/3.61 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 : Iota), Eq (Or (cP a a_1) (cP a_1 a_2)) True % 3.37/3.61 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a a_1) True) (Eq (cP a_1 a_2) True) % 3.37/3.61 Clause #13 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (Y : Iota), cP a Y) False % 3.37/3.61 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (Not (cP a (skS.0 0 a a_1))) True % 3.37/3.61 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Eq (cP a (skS.0 0 a a_1)) False % 3.37/3.61 Clause #17 (by superposition #[15, 7]): ∀ (a a_1 : Iota), Or (Eq (cP a a_1) True) (Eq False True) % 3.37/3.61 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Eq (cP a a_1) True % 3.37/3.61 Clause #19 (by superposition #[18, 15]): Eq True False % 3.37/3.61 Clause #21 (by clausification #[19]): False % 3.37/3.61 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------