%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR126^1 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n024.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 3.61s 3.80s % Output : Proof 3.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : CSR126^1 : TPTP v9.2.0. Released v4.1.0. % 0.14/0.14 % Command : duper %s % 0.14/0.36 % Computer : n024.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Thu Oct 2 20:33:53 EDT 2025 % 0.14/0.36 % CPUTime : % 3.61/3.80 SZS status Theorem for theBenchmark.p % 3.61/3.80 SZS output start Proof for theBenchmark.p % 3.61/3.80 Clause #0 (by assumption #[]): Eq (∀ (T : Iota), holdsDuring_THFTYPE_IiooI T (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i)) True % 3.61/3.80 Clause #1 (by assumption #[]): Eq % 3.61/3.80 (∀ (X : Iota), % 3.61/3.80 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 3.61/3.80 (likes_THFTYPE_IiioI lMary_THFTYPE_i X → likes_THFTYPE_IiioI lSue_THFTYPE_i X)) % 3.61/3.80 True % 3.61/3.80 Clause #2 (by assumption #[]): Eq % 3.61/3.80 (Not % 3.61/3.80 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 3.61/3.80 (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i))) % 3.61/3.80 True % 3.61/3.80 Clause #3 (by clausification #[0]): ∀ (a : Iota), Eq (holdsDuring_THFTYPE_IiooI a (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i)) True % 3.61/3.80 Clause #4 (by identity loobHoist #[3]): ∀ (a : Iota), % 3.61/3.80 Or (Eq (holdsDuring_THFTYPE_IiooI a True) True) (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) False) % 3.61/3.80 Clause #5 (by identity boolHoist #[3]): ∀ (a : Iota), % 3.61/3.80 Or (Eq (holdsDuring_THFTYPE_IiooI a False) True) (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) % 3.61/3.80 Clause #6 (by clausification #[2]): Eq % 3.61/3.80 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 3.61/3.80 (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i)) % 3.61/3.80 False % 3.61/3.80 Clause #7 (by identity loobHoist #[6]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False) % 3.61/3.80 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) False) % 3.61/3.80 Clause #8 (by identity boolHoist #[6]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False) % 3.61/3.80 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 3.61/3.80 Clause #9 (by clausification #[1]): ∀ (a : Iota), % 3.61/3.80 Eq % 3.61/3.80 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 3.61/3.80 (likes_THFTYPE_IiioI lMary_THFTYPE_i a → likes_THFTYPE_IiioI lSue_THFTYPE_i a)) % 3.61/3.80 True % 3.61/3.80 Clause #10 (by identity loobHoist #[9]): ∀ (a : Iota), % 3.61/3.80 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 3.61/3.80 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a → likes_THFTYPE_IiioI lSue_THFTYPE_i a) False) % 3.61/3.81 Clause #11 (by identity boolHoist #[9]): ∀ (a : Iota), % 3.61/3.81 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.61/3.81 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a → likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) % 3.61/3.81 Clause #12 (by clausification #[10]): ∀ (a : Iota), % 3.61/3.81 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 3.61/3.81 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a) True) % 3.61/3.81 Clause #14 (by superposition #[12, 7]): ∀ (a : Iota), % 3.61/3.81 Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a) True) % 3.61/3.81 (Or (Eq True False) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) False)) % 3.61/3.81 Clause #15 (by superposition #[8, 5]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 3.61/3.81 (Or (Eq False True) (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True)) % 3.61/3.81 Clause #16 (by clausification #[11]): ∀ (a : Iota), % 3.61/3.81 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.61/3.81 (Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a) False) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True)) % 3.61/3.81 Clause #18 (by clausification #[15]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 3.61/3.81 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) % 3.61/3.81 Clause #20 (by superposition #[18, 16]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 3.61/3.81 (Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.61/3.81 (Or (Eq True False) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True))) % 3.61/3.81 Clause #24 (by clausification #[14]): ∀ (a : Iota), % 3.61/3.81 Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a) True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) False) % 3.61/3.81 Clause #28 (by clausification #[20]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 3.61/3.81 (Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.61/3.81 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True)) % 3.61/3.81 Clause #29 (by eliminate duplicate literals #[28]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 3.61/3.81 (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.61/3.81 Clause #30 (by superposition #[29, 8]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 3.61/3.81 (Or (Eq True False) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True)) % 3.61/3.81 Clause #31 (by clausification #[30]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 3.61/3.81 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 3.61/3.81 Clause #32 (by eliminate duplicate literals #[31]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True % 3.61/3.81 Clause #33 (by backward demodulation #[32, 7]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False) (Eq True False) % 3.61/3.81 Clause #37 (by backward demodulation #[32, 24]): ∀ (a : Iota), Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a) True) (Eq True False) % 3.61/3.81 Clause #40 (by clausification #[37]): ∀ (a : Iota), Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a) True % 3.61/3.81 Clause #41 (by backward demodulation #[40, 4]): ∀ (a : Iota), Or (Eq (holdsDuring_THFTYPE_IiooI a True) True) (Eq True False) % 3.61/3.81 Clause #44 (by clausification #[41]): ∀ (a : Iota), Eq (holdsDuring_THFTYPE_IiooI a True) True % 3.61/3.81 Clause #48 (by clausification #[33]): Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False % 3.61/3.81 Clause #49 (by superposition #[48, 44]): Eq False True % 3.61/3.81 Clause #50 (by clausification #[49]): False % 3.61/3.81 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------