%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR148^1 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n018.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 07:46:54 PM UTC 2025 % Result : Theorem 3.71s 3.89s % Output : Proof 3.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : CSR148^1 : TPTP v9.2.0. Released v4.1.0. % 0.13/0.15 % Command : duper %s % 0.15/0.37 % Computer : n018.cluster.edu % 0.15/0.37 % Model : x86_64 x86_64 % 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.37 % Memory : 8042.1875MB % 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.37 % CPULimit : 300 % 0.15/0.37 % WCLimit : 300 % 0.15/0.37 % DateTime : Thu Oct 2 20:09:53 EDT 2025 % 0.15/0.37 % CPUTime : % 3.71/3.89 SZS status Theorem for theBenchmark.p % 3.71/3.89 SZS output start Proof for theBenchmark.p % 3.71/3.89 Clause #0 (by assumption #[]): Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True % 3.71/3.89 Clause #1 (by assumption #[]): Eq % 3.71/3.89 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 3.71/3.89 (∀ (X : Iota), likes_THFTYPE_IiioI lMary_THFTYPE_i X → likes_THFTYPE_IiioI lSue_THFTYPE_i X)) % 3.71/3.89 True % 3.71/3.89 Clause #2 (by assumption #[]): Eq (∀ (P : Prop) (Y : Iota), P → holdsDuring_THFTYPE_IiooI Y P) True % 3.71/3.89 Clause #3 (by assumption #[]): Eq % 3.71/3.89 (Not % 3.71/3.89 (Exists fun X => % 3.71/3.89 Exists fun Y => holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI Y) (likes_THFTYPE_IiioI lSue_THFTYPE_i X))) % 3.71/3.89 True % 3.71/3.89 Clause #4 (by clausification #[2]): ∀ (a : Prop), Eq (∀ (Y : Iota), a → holdsDuring_THFTYPE_IiooI Y a) True % 3.71/3.89 Clause #5 (by clausification #[4]): ∀ (a : Prop) (a_1 : Iota), Eq (a → holdsDuring_THFTYPE_IiooI a_1 a) True % 3.71/3.89 Clause #6 (by clausification #[5]): ∀ (a : Prop) (a_1 : Iota), Or (Eq a False) (Eq (holdsDuring_THFTYPE_IiooI a_1 a) True) % 3.71/3.89 Clause #7 (by identity loobHoist #[6]): ∀ (a : Prop) (a_1 : Iota), Or (Eq a False) (Or (Eq (holdsDuring_THFTYPE_IiooI a_1 True) True) (Eq a False)) % 3.71/3.89 Clause #9 (by eliminate duplicate literals #[7]): ∀ (a : Prop) (a_1 : Iota), Or (Eq a False) (Eq (holdsDuring_THFTYPE_IiooI a_1 True) True) % 3.71/3.89 Clause #11 (by falseElim #[9]): ∀ (a : Iota), Eq (holdsDuring_THFTYPE_IiooI a True) True % 3.71/3.89 Clause #13 (by identity boolHoist #[1]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.71/3.89 (Eq (∀ (X : Iota), likes_THFTYPE_IiioI lMary_THFTYPE_i X → likes_THFTYPE_IiioI lSue_THFTYPE_i X) True) % 3.71/3.89 Clause #19 (by clausification #[13]): ∀ (a : Iota), % 3.71/3.89 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.71/3.89 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a → likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) % 3.71/3.89 Clause #20 (by clausification #[19]): ∀ (a : Iota), % 3.71/3.89 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.71/3.89 (Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a) False) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True)) % 3.71/3.89 Clause #21 (by superposition #[20, 0]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.71/3.89 (Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) (Eq False True)) % 3.71/3.89 Clause #22 (by clausification #[21]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.71/3.89 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 3.71/3.89 Clause #23 (by clausification #[3]): Eq % 3.71/3.89 (Exists fun X => % 3.71/3.89 Exists fun Y => holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI Y) (likes_THFTYPE_IiioI lSue_THFTYPE_i X)) % 3.71/3.89 False % 3.71/3.89 Clause #24 (by clausification #[23]): ∀ (a : Iota), % 3.71/3.89 Eq (Exists fun Y => holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI Y) (likes_THFTYPE_IiioI lSue_THFTYPE_i a)) False % 3.71/3.89 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI a) (likes_THFTYPE_IiioI lSue_THFTYPE_i a_1)) False % 3.71/3.89 Clause #26 (by identity loobHoist #[25]): ∀ (a a_1 : Iota), % 3.71/3.89 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI a) True) False) % 3.71/3.89 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a_1) False) % 3.71/3.89 Clause #27 (by identity boolHoist #[25]): ∀ (a a_1 : Iota), % 3.71/3.89 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI a) False) False) % 3.71/3.89 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a_1) True) % 3.71/3.89 Clause #28 (by superposition #[26, 11]): ∀ (a : Iota), Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) False) (Eq False True) % 3.71/3.89 Clause #29 (by clausification #[28]): ∀ (a : Iota), Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) False % 3.71/3.89 Clause #30 (by backward demodulation #[29, 22]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) (Eq False True) % 3.71/3.89 Clause #32 (by clausification #[30]): Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True % 3.71/3.89 Clause #34 (by superposition #[27, 32]): ∀ (a : Iota), Or (Eq True False) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) % 3.71/3.89 Clause #35 (by clausification #[34]): ∀ (a : Iota), Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True % 3.71/3.89 Clause #36 (by superposition #[35, 29]): Eq True False % 3.71/3.89 Clause #37 (by clausification #[36]): False % 3.71/3.89 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------