%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR119^2 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.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 07:46:48 PM UTC 2025 % Result : Theorem 232.51s 232.66s % Output : Proof 233.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : CSR119^2 : TPTP v9.2.0. Released v4.1.0. % 0.04/0.13 % Command : duper %s % 0.13/0.34 % Computer : n026.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 19:20:23 EDT 2025 % 0.13/0.34 % CPUTime : % 232.51/232.66 SZS status Theorem for theBenchmark.p % 232.51/232.66 SZS output start Proof for theBenchmark.p % 232.51/232.66 Clause #25 (by assumption #[]): Eq % 232.51/232.66 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 232.51/232.66 (And (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i))) % 232.51/232.66 True % 232.51/232.66 Clause #188 (by assumption #[]): Eq % 232.51/232.66 (Not % 232.51/232.66 (Exists fun Y => % 232.51/232.66 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (likes_THFTYPE_IiioI Y lBill_THFTYPE_i))) % 232.51/232.66 True % 232.51/232.66 Clause #1171 (by identity loobHoist #[25]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 232.51/232.66 (Eq (And (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i)) % 232.51/232.66 False) % 232.51/232.66 Clause #1172 (by identity boolHoist #[25]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 232.51/232.66 (Eq (And (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i)) % 232.51/232.66 True) % 232.51/232.66 Clause #1173 (by clausification #[1171]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 232.51/232.66 (Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) False) % 232.51/232.66 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) False)) % 232.51/232.66 Clause #2836 (by clausification #[188]): Eq % 232.51/232.66 (Exists fun Y => % 232.51/232.66 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (likes_THFTYPE_IiioI Y lBill_THFTYPE_i)) % 232.51/232.66 False % 232.51/232.66 Clause #2837 (by clausification #[2836]): ∀ (a : Iota), % 232.51/232.66 Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (likes_THFTYPE_IiioI a lBill_THFTYPE_i)) False % 232.51/232.66 Clause #2838 (by identity loobHoist #[2837]): ∀ (a : Iota), % 232.51/232.66 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False) % 232.51/232.66 (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) False) % 232.51/232.66 Clause #2839 (by identity boolHoist #[2837]): ∀ (a : Iota), % 232.51/232.66 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False) % 232.51/232.66 (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) True) % 232.51/232.66 Clause #49163 (by clausification #[1172]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 232.51/232.66 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 232.51/232.66 Clause #49164 (by clausification #[1172]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 232.51/232.66 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) % 232.51/232.66 Clause #49165 (by superposition #[49163, 2839]): ∀ (a : Iota), % 232.51/232.66 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 232.51/232.66 (Or (Eq True False) (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) True)) % 232.51/232.66 Clause #49321 (by superposition #[49164, 2839]): ∀ (a : Iota), % 232.51/232.66 Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) % 232.51/232.66 (Or (Eq True False) (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) True)) % 232.51/232.66 Clause #49477 (by clausification #[49165]): ∀ (a : Iota), % 232.51/232.66 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) True) % 232.51/232.66 Clause #49483 (by equality factoring #[49477]): Or (Ne True True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 232.51/232.66 Clause #49774 (by clausification #[49483]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) (Or (Eq True False) (Eq True False)) % 232.51/232.66 Clause #49776 (by clausification #[49774]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) (Eq True False) % 232.51/232.66 Clause #49777 (by clausification #[49776]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True % 232.51/232.66 Clause #49778 (by backward demodulation #[49777, 1173]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 232.51/232.66 (Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) False) (Eq True False)) % 232.51/232.66 Clause #49915 (by clausification #[49321]): ∀ (a : Iota), % 232.51/232.66 Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) True) % 232.51/232.66 Clause #49920 (by equality factoring #[49915]): Or (Ne True True) (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) % 232.51/232.66 Clause #50185 (by clausification #[49920]): Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) (Or (Eq True False) (Eq True False)) % 233.31/233.50 Clause #50187 (by clausification #[50185]): Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) (Eq True False) % 233.31/233.50 Clause #50188 (by clausification #[50187]): Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True % 233.31/233.50 Clause #50322 (by clausification #[49778]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 233.31/233.50 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) False) % 233.31/233.50 Clause #50323 (by forward demodulation #[50322, 50188]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) (Eq True False) % 233.31/233.50 Clause #50324 (by clausification #[50323]): Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True % 233.31/233.50 Clause #50325 (by superposition #[50324, 2838]): ∀ (a : Iota), Or (Eq True False) (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) False) % 233.31/233.50 Clause #50457 (by clausification #[50325]): ∀ (a : Iota), Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) False % 233.31/233.50 Clause #50458 (by superposition #[50457, 49777]): Eq False True % 233.31/233.50 Clause #50482 (by clausification #[50458]): False % 233.31/233.50 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------