%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR127^1 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n002.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 07:46:50 PM UTC 2025 % Result : Theorem 3.53s 3.71s % Output : Proof 3.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : CSR127^1 : TPTP v9.2.0. Released v4.1.0. % 0.11/0.13 % Command : duper %s % 0.14/0.34 % Computer : n002.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Thu Oct 2 20:11:23 EDT 2025 % 0.14/0.34 % CPUTime : % 3.53/3.71 SZS status Theorem for theBenchmark.p % 3.53/3.71 SZS output start Proof for theBenchmark.p % 3.53/3.71 Clause #0 (by assumption #[]): Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True % 3.53/3.71 Clause #1 (by assumption #[]): Eq % 3.53/3.71 (∀ (X : Iota), % 3.53/3.71 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 3.53/3.71 (likes_THFTYPE_IiioI lMary_THFTYPE_i X → likes_THFTYPE_IiioI lSue_THFTYPE_i X)) % 3.53/3.71 True % 3.53/3.71 Clause #2 (by assumption #[]): Eq % 3.53/3.71 (Not % 3.53/3.71 (Exists fun Y => % 3.53/3.71 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (likes_THFTYPE_IiioI Y lBill_THFTYPE_i))) % 3.53/3.71 True % 3.53/3.71 Clause #3 (by clausification #[1]): ∀ (a : Iota), % 3.53/3.71 Eq % 3.53/3.71 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 3.53/3.71 (likes_THFTYPE_IiioI lMary_THFTYPE_i a → likes_THFTYPE_IiioI lSue_THFTYPE_i a)) % 3.53/3.71 True % 3.53/3.71 Clause #4 (by identity loobHoist #[3]): ∀ (a : Iota), % 3.53/3.71 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 3.53/3.71 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a → likes_THFTYPE_IiioI lSue_THFTYPE_i a) False) % 3.53/3.71 Clause #5 (by identity boolHoist #[3]): ∀ (a : Iota), % 3.53/3.71 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.53/3.71 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a → likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) % 3.53/3.71 Clause #7 (by clausification #[4]): ∀ (a : Iota), % 3.53/3.71 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 3.53/3.71 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) False) % 3.53/3.71 Clause #8 (by clausification #[5]): ∀ (a : Iota), % 3.53/3.71 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.53/3.71 (Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a) False) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True)) % 3.53/3.71 Clause #9 (by superposition #[8, 0]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.53/3.71 (Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) (Eq False True)) % 3.53/3.71 Clause #11 (by clausification #[2]): Eq % 3.53/3.71 (Exists fun Y => % 3.53/3.71 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (likes_THFTYPE_IiioI Y lBill_THFTYPE_i)) % 3.53/3.71 False % 3.53/3.71 Clause #12 (by clausification #[11]): ∀ (a : Iota), % 3.53/3.71 Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (likes_THFTYPE_IiioI a lBill_THFTYPE_i)) False % 3.53/3.71 Clause #13 (by identity loobHoist #[12]): ∀ (a : Iota), % 3.53/3.71 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False) % 3.53/3.71 (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) False) % 3.53/3.71 Clause #14 (by identity boolHoist #[12]): ∀ (a : Iota), % 3.53/3.71 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False) % 3.53/3.71 (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) True) % 3.53/3.71 Clause #16 (by clausification #[9]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.53/3.71 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 3.53/3.71 Clause #17 (by superposition #[14, 16]): ∀ (a : Iota), % 3.53/3.71 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 3.53/3.71 (Or (Eq True False) (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) True)) % 3.53/3.71 Clause #18 (by clausification #[17]): ∀ (a : Iota), % 3.53/3.71 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) True) % 3.53/3.71 Clause #20 (by equality factoring #[18]): Or (Ne True True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 3.53/3.71 Clause #21 (by clausification #[20]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) (Or (Eq True False) (Eq True False)) % 3.53/3.71 Clause #23 (by clausification #[21]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) (Eq True False) % 3.53/3.71 Clause #24 (by clausification #[23]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True % 3.53/3.71 Clause #26 (by superposition #[24, 7]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) (Eq True False) % 3.53/3.71 Clause #27 (by clausification #[26]): Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True % 3.53/3.71 Clause #28 (by superposition #[27, 13]): ∀ (a : Iota), Or (Eq True False) (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) False) % 3.53/3.71 Clause #29 (by clausification #[28]): ∀ (a : Iota), Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) False % 3.53/3.71 Clause #30 (by superposition #[29, 0]): Eq False True % 3.53/3.71 Clause #33 (by clausification #[30]): False % 3.53/3.71 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------