%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR119^1 : 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 07:46:48 PM UTC 2025 % Result : Theorem 3.40s 3.66s % Output : Proof 3.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.14 % Problem : CSR119^1 : TPTP v9.2.0. Released v4.1.0. % 0.11/0.15 % Command : duper %s % 0.12/0.37 % Computer : n024.cluster.edu % 0.12/0.37 % Model : x86_64 x86_64 % 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.37 % Memory : 8042.1875MB % 0.12/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.37 % CPULimit : 300 % 0.12/0.37 % WCLimit : 300 % 0.12/0.37 % DateTime : Thu Oct 2 20:16:53 EDT 2025 % 0.12/0.37 % CPUTime : % 3.40/3.66 SZS status Theorem for theBenchmark.p % 3.40/3.66 SZS output start Proof for theBenchmark.p % 3.40/3.66 Clause #0 (by assumption #[]): Eq % 3.40/3.66 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 3.40/3.66 (And (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i))) % 3.40/3.66 True % 3.40/3.66 Clause #1 (by assumption #[]): Eq % 3.40/3.66 (Not % 3.40/3.66 (Exists fun Y => % 3.40/3.66 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (likes_THFTYPE_IiioI Y lBill_THFTYPE_i))) % 3.40/3.66 True % 3.40/3.66 Clause #2 (by clausification #[1]): Eq % 3.40/3.66 (Exists fun Y => % 3.40/3.66 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (likes_THFTYPE_IiioI Y lBill_THFTYPE_i)) % 3.40/3.66 False % 3.40/3.66 Clause #3 (by clausification #[2]): ∀ (a : Iota), % 3.40/3.66 Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (likes_THFTYPE_IiioI a lBill_THFTYPE_i)) False % 3.40/3.66 Clause #4 (by identity loobHoist #[3]): ∀ (a : Iota), % 3.40/3.66 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False) % 3.40/3.66 (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) False) % 3.40/3.66 Clause #5 (by identity boolHoist #[3]): ∀ (a : Iota), % 3.40/3.66 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False) % 3.40/3.66 (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) True) % 3.40/3.66 Clause #6 (by identity loobHoist #[0]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 3.40/3.66 (Eq (And (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i)) % 3.40/3.66 False) % 3.40/3.66 Clause #7 (by identity boolHoist #[0]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.40/3.66 (Eq (And (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i)) % 3.40/3.66 True) % 3.40/3.66 Clause #8 (by clausification #[6]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 3.40/3.66 (Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) False) % 3.40/3.66 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) False)) % 3.40/3.66 Clause #9 (by clausification #[7]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.40/3.66 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 3.40/3.66 Clause #10 (by clausification #[7]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.40/3.66 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) % 3.40/3.66 Clause #11 (by superposition #[9, 5]): ∀ (a : Iota), % 3.40/3.66 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 3.40/3.66 (Or (Eq True False) (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) True)) % 3.40/3.66 Clause #12 (by superposition #[10, 5]): ∀ (a : Iota), % 3.40/3.66 Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) % 3.40/3.66 (Or (Eq True False) (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) True)) % 3.40/3.66 Clause #13 (by clausification #[11]): ∀ (a : Iota), % 3.40/3.66 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) True) % 3.40/3.66 Clause #15 (by equality factoring #[13]): Or (Ne True True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 3.40/3.66 Clause #16 (by clausification #[15]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) (Or (Eq True False) (Eq True False)) % 3.40/3.66 Clause #18 (by clausification #[16]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) (Eq True False) % 3.40/3.66 Clause #19 (by clausification #[18]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True % 3.40/3.66 Clause #20 (by backward demodulation #[19, 8]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 3.40/3.66 (Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) False) (Eq True False)) % 3.40/3.66 Clause #22 (by clausification #[12]): ∀ (a : Iota), % 3.40/3.66 Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) True) % 3.40/3.66 Clause #23 (by equality factoring #[22]): Or (Ne True True) (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) % 3.40/3.66 Clause #24 (by clausification #[23]): Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) (Or (Eq True False) (Eq True False)) % 3.40/3.66 Clause #26 (by clausification #[24]): Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) (Eq True False) % 3.40/3.66 Clause #27 (by clausification #[26]): Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True % 3.40/3.66 Clause #29 (by clausification #[20]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 3.40/3.66 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) False) % 3.40/3.66 Clause #30 (by forward demodulation #[29, 27]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) (Eq True False) % 3.40/3.66 Clause #31 (by clausification #[30]): Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True % 3.40/3.66 Clause #32 (by superposition #[31, 4]): ∀ (a : Iota), Or (Eq True False) (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) False) % 3.40/3.66 Clause #33 (by clausification #[32]): ∀ (a : Iota), Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) False % 3.40/3.66 Clause #34 (by superposition #[33, 19]): Eq False True % 3.40/3.66 Clause #35 (by clausification #[34]): False % 3.40/3.66 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------