%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : MSC019+1 : 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 07:55:24 PM UTC 2025 % Result : Theorem 25.65s 25.86s % Output : Proof 25.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : MSC019+1 : TPTP v9.2.0. Released v4.0.0. % 0.11/0.13 % 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 : Thu Oct 2 17:01:23 EDT 2025 % 0.13/0.34 % CPUTime : % 25.65/25.86 SZS status Theorem for theBenchmark.p % 25.65/25.86 SZS output start Proof for theBenchmark.p % 25.65/25.86 Clause #18 (by assumption #[]): Eq (s_contains s_g019 s_g013) True % 25.65/25.86 Clause #74 (by assumption #[]): Eq (s_contains s_g013 s_MX) True % 25.65/25.86 Clause #598 (by assumption #[]): Eq (∀ (X Y Z : Iota), And (s_contains X Y) (s_contains Y Z) → s_contains X Z) True % 25.65/25.86 Clause #601 (by assumption #[]): Eq (Not (s_contains s_g019 s_MX)) True % 25.65/25.86 Clause #602 (by clausification #[601]): Eq (s_contains s_g019 s_MX) False % 25.65/25.86 Clause #603 (by clausification #[598]): ∀ (a : Iota), Eq (∀ (Y Z : Iota), And (s_contains a Y) (s_contains Y Z) → s_contains a Z) True % 25.65/25.86 Clause #604 (by clausification #[603]): ∀ (a a_1 : Iota), Eq (∀ (Z : Iota), And (s_contains a a_1) (s_contains a_1 Z) → s_contains a Z) True % 25.65/25.86 Clause #605 (by clausification #[604]): ∀ (a a_1 a_2 : Iota), Eq (And (s_contains a a_1) (s_contains a_1 a_2) → s_contains a a_2) True % 25.65/25.86 Clause #606 (by clausification #[605]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (s_contains a a_1) (s_contains a_1 a_2)) False) (Eq (s_contains a a_2) True) % 25.65/25.86 Clause #607 (by clausification #[606]): ∀ (a a_1 a_2 : Iota), Or (Eq (s_contains a a_1) True) (Or (Eq (s_contains a a_2) False) (Eq (s_contains a_2 a_1) False)) % 25.65/25.86 Clause #653 (by superposition #[607, 18]): ∀ (a : Iota), Or (Eq (s_contains s_g019 a) True) (Or (Eq (s_contains s_g013 a) False) (Eq False True)) % 25.65/25.86 Clause #2082 (by clausification #[653]): ∀ (a : Iota), Or (Eq (s_contains s_g019 a) True) (Eq (s_contains s_g013 a) False) % 25.65/25.86 Clause #2086 (by superposition #[2082, 74]): Or (Eq (s_contains s_g019 s_MX) True) (Eq False True) % 25.65/25.86 Clause #2139 (by clausification #[2086]): Eq (s_contains s_g019 s_MX) True % 25.65/25.86 Clause #2140 (by superposition #[2139, 602]): Eq True False % 25.65/25.86 Clause #2145 (by clausification #[2140]): False % 25.65/25.86 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------