%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO083^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n013.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 08:08:33 PM UTC 2025 % Result : Theorem 3.60s 3.77s % Output : Proof 3.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYO083^5 : TPTP v9.2.0. Released v4.0.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n013.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 14:10:23 EDT 2025 % 0.13/0.34 % CPUTime : % 3.60/3.77 SZS status Theorem for theBenchmark.p % 3.60/3.77 SZS output start Proof for theBenchmark.p % 3.60/3.77 Clause #0 (by assumption #[]): Eq (Not (Or (∀ (U : Iota), cP cA U) (∀ (V : Iota), cP V cB) → Exists fun X => cP X X)) True % 3.60/3.77 Clause #1 (by clausification #[0]): Eq (Or (∀ (U : Iota), cP cA U) (∀ (V : Iota), cP V cB) → Exists fun X => cP X X) False % 3.60/3.77 Clause #2 (by clausification #[1]): Eq (Or (∀ (U : Iota), cP cA U) (∀ (V : Iota), cP V cB)) True % 3.60/3.77 Clause #3 (by clausification #[1]): Eq (Exists fun X => cP X X) False % 3.60/3.77 Clause #4 (by clausification #[2]): Or (Eq (∀ (U : Iota), cP cA U) True) (Eq (∀ (V : Iota), cP V cB) True) % 3.60/3.77 Clause #5 (by clausification #[4]): ∀ (a : Iota), Or (Eq (∀ (V : Iota), cP V cB) True) (Eq (cP cA a) True) % 3.60/3.77 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (cP cA a) True) (Eq (cP a_1 cB) True) % 3.60/3.77 Clause #12 (by clausification #[3]): ∀ (a : Iota), Eq (cP a a) False % 3.60/3.77 Clause #14 (by superposition #[12, 6]): ∀ (a : Iota), Or (Eq False True) (Eq (cP a cB) True) % 3.60/3.77 Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (cP a cB) True % 3.60/3.77 Clause #16 (by superposition #[15, 12]): Eq True False % 3.60/3.77 Clause #17 (by clausification #[16]): False % 3.60/3.77 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------