%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR121^1 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n015.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 4.07s 4.29s % Output : Proof 4.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR121^1 : TPTP v9.2.0. Released v4.1.0. % 0.12/0.13 % Command : duper %s % 0.12/0.34 % Computer : n015.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Oct 2 19:45:38 EDT 2025 % 0.12/0.34 % CPUTime : % 4.07/4.29 SZS status Theorem for theBenchmark.p % 4.07/4.29 SZS output start Proof for theBenchmark.p % 4.07/4.29 Clause #0 (by assumption #[]): Eq % 4.07/4.29 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 4.07/4.29 (Not % 4.07/4.29 (Or (Not (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i)) % 4.07/4.29 (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i))))) % 4.07/4.29 True % 4.07/4.29 Clause #1 (by assumption #[]): Eq % 4.07/4.29 (Not % 4.07/4.29 (Exists fun X => % 4.07/4.29 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 4.07/4.29 (And (likes_THFTYPE_IiioI lMary_THFTYPE_i X) (likes_THFTYPE_IiioI lSue_THFTYPE_i X)))) % 4.07/4.29 True % 4.07/4.29 Clause #2 (by identity loobHoist #[0]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 4.07/4.29 (Eq % 4.07/4.29 (Not % 4.07/4.29 (Or (Not (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i)) % 4.07/4.29 (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i)))) % 4.07/4.29 False) % 4.07/4.29 Clause #3 (by identity boolHoist #[0]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 4.07/4.29 (Eq % 4.07/4.29 (Not % 4.07/4.29 (Or (Not (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i)) % 4.07/4.29 (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i)))) % 4.07/4.29 True) % 4.07/4.29 Clause #4 (by clausification #[2]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 4.07/4.29 (Eq % 4.07/4.29 (Or (Not (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i)) % 4.07/4.29 (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i))) % 4.07/4.29 True) % 4.07/4.29 Clause #5 (by clausification #[4]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 4.07/4.29 (Or (Eq (Not (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i)) True) % 4.07/4.29 (Eq (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i)) True)) % 4.07/4.29 Clause #6 (by clausification #[5]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 4.07/4.29 (Or (Eq (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i)) True) % 4.07/4.29 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) False)) % 4.07/4.29 Clause #7 (by clausification #[6]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 4.07/4.29 (Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) False) % 4.07/4.29 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) False)) % 4.07/4.29 Clause #8 (by clausification #[1]): Eq % 4.07/4.29 (Exists fun X => % 4.07/4.29 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 4.07/4.29 (And (likes_THFTYPE_IiioI lMary_THFTYPE_i X) (likes_THFTYPE_IiioI lSue_THFTYPE_i X))) % 4.07/4.29 False % 4.07/4.29 Clause #9 (by clausification #[8]): ∀ (a : Iota), % 4.07/4.29 Eq % 4.07/4.29 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 4.07/4.29 (And (likes_THFTYPE_IiioI lMary_THFTYPE_i a) (likes_THFTYPE_IiioI lSue_THFTYPE_i a))) % 4.07/4.29 False % 4.07/4.29 Clause #10 (by identity loobHoist #[9]): ∀ (a : Iota), % 4.07/4.29 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False) % 4.07/4.29 (Eq (And (likes_THFTYPE_IiioI lMary_THFTYPE_i a) (likes_THFTYPE_IiioI lSue_THFTYPE_i a)) False) % 4.07/4.29 Clause #11 (by identity boolHoist #[9]): ∀ (a : Iota), % 4.07/4.29 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False) % 4.07/4.29 (Eq (And (likes_THFTYPE_IiioI lMary_THFTYPE_i a) (likes_THFTYPE_IiioI lSue_THFTYPE_i a)) True) % 4.07/4.29 Clause #12 (by clausification #[10]): ∀ (a : Iota), % 4.07/4.29 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False) % 4.07/4.29 (Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a) False) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) False)) % 4.07/4.29 Clause #13 (by clausification #[11]): ∀ (a : Iota), % 4.07/4.29 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False) % 4.07/4.29 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) % 4.07/4.29 Clause #14 (by clausification #[11]): ∀ (a : Iota), % 4.07/4.29 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False) % 4.07/4.29 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a) True) % 4.07/4.29 Clause #15 (by clausification #[3]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 4.07/4.29 (Eq % 4.07/4.29 (Or (Not (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i)) % 4.07/4.29 (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i))) % 4.07/4.29 False) % 4.07/4.29 Clause #16 (by clausification #[15]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 4.14/4.30 (Eq (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i)) False) % 4.14/4.30 Clause #17 (by clausification #[15]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 4.14/4.30 (Eq (Not (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i)) False) % 4.14/4.30 Clause #18 (by clausification #[16]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 4.14/4.30 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 4.14/4.30 Clause #19 (by superposition #[18, 13]): ∀ (a : Iota), % 4.14/4.30 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 4.14/4.30 (Or (Eq True False) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True)) % 4.14/4.30 Clause #21 (by clausification #[17]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 4.14/4.30 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) % 4.14/4.30 Clause #23 (by superposition #[21, 14]): ∀ (a : Iota), % 4.14/4.30 Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) % 4.14/4.30 (Or (Eq True False) (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a) True)) % 4.14/4.30 Clause #24 (by clausification #[23]): ∀ (a : Iota), % 4.14/4.30 Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a) True) % 4.14/4.30 Clause #26 (by equality factoring #[24]): Or (Ne True True) (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) % 4.14/4.30 Clause #27 (by clausification #[26]): Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) (Or (Eq True False) (Eq True False)) % 4.14/4.30 Clause #29 (by clausification #[27]): Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) (Eq True False) % 4.14/4.30 Clause #30 (by clausification #[29]): Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True % 4.14/4.30 Clause #31 (by backward demodulation #[30, 7]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 4.14/4.30 (Or (Eq True False) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) False)) % 4.14/4.30 Clause #34 (by clausification #[19]): ∀ (a : Iota), % 4.14/4.30 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) % 4.14/4.30 Clause #35 (by equality factoring #[34]): Or (Ne True True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 4.14/4.30 Clause #36 (by clausification #[35]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) (Or (Eq True False) (Eq True False)) % 4.14/4.30 Clause #38 (by clausification #[36]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) (Eq True False) % 4.14/4.30 Clause #39 (by clausification #[38]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True % 4.14/4.30 Clause #42 (by clausification #[31]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 4.14/4.30 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) False) % 4.14/4.30 Clause #43 (by forward demodulation #[42, 39]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) (Eq True False) % 4.14/4.30 Clause #44 (by clausification #[43]): Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True % 4.14/4.30 Clause #45 (by superposition #[44, 12]): ∀ (a : Iota), % 4.14/4.30 Or (Eq True False) % 4.14/4.30 (Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a) False) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) False)) % 4.14/4.30 Clause #49 (by clausification #[45]): ∀ (a : Iota), Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a) False) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) False) % 4.14/4.30 Clause #50 (by superposition #[49, 30]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) False) (Eq False True) % 4.14/4.30 Clause #51 (by clausification #[50]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) False % 4.14/4.30 Clause #52 (by superposition #[51, 39]): Eq False True % 4.14/4.30 Clause #53 (by clausification #[52]): False % 4.14/4.30 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------