%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR128^1 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n019.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 3.72s 3.92s % Output : Proof 3.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : CSR128^1 : TPTP v9.2.0. Released v4.1.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n019.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Oct 2 19:46:53 EDT 2025 % 0.13/0.34 % CPUTime : % 3.72/3.92 SZS status Theorem for theBenchmark.p % 3.72/3.92 SZS output start Proof for theBenchmark.p % 3.72/3.92 Clause #0 (by assumption #[]): Eq % 3.72/3.92 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 3.72/3.92 (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i)) % 3.72/3.92 True % 3.72/3.92 Clause #1 (by assumption #[]): Eq % 3.72/3.92 (∀ (X : Iota), % 3.72/3.92 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 3.72/3.92 (likes_THFTYPE_IiioI lMary_THFTYPE_i X → likes_THFTYPE_IiioI lSue_THFTYPE_i X)) % 3.72/3.92 True % 3.72/3.92 Clause #2 (by assumption #[]): Eq (Not (Exists fun T => Exists fun Z => holdsDuring_THFTYPE_IiooI T (likes_THFTYPE_IiioI lSue_THFTYPE_i Z))) True % 3.72/3.92 Clause #3 (by identity loobHoist #[0]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 3.72/3.92 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) False) % 3.72/3.92 Clause #4 (by identity boolHoist #[0]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.72/3.92 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) % 3.72/3.92 Clause #5 (by clausification #[1]): ∀ (a : Iota), % 3.72/3.92 Eq % 3.72/3.92 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 3.72/3.92 (likes_THFTYPE_IiioI lMary_THFTYPE_i a → likes_THFTYPE_IiioI lSue_THFTYPE_i a)) % 3.72/3.92 True % 3.72/3.92 Clause #6 (by identity loobHoist #[5]): ∀ (a : Iota), % 3.72/3.92 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 3.72/3.92 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a → likes_THFTYPE_IiioI lSue_THFTYPE_i a) False) % 3.72/3.92 Clause #7 (by identity boolHoist #[5]): ∀ (a : Iota), % 3.72/3.92 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.72/3.92 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a → likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) % 3.72/3.92 Clause #8 (by clausification #[6]): ∀ (a : Iota), % 3.72/3.92 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 3.72/3.92 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a) True) % 3.72/3.92 Clause #10 (by clausification #[7]): ∀ (a : Iota), % 3.72/3.92 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.72/3.92 (Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a) False) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True)) % 3.72/3.92 Clause #12 (by clausification #[2]): Eq (Exists fun T => Exists fun Z => holdsDuring_THFTYPE_IiooI T (likes_THFTYPE_IiioI lSue_THFTYPE_i Z)) False % 3.72/3.92 Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (Exists fun Z => holdsDuring_THFTYPE_IiooI a (likes_THFTYPE_IiioI lSue_THFTYPE_i Z)) False % 3.72/3.92 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (holdsDuring_THFTYPE_IiooI a (likes_THFTYPE_IiioI lSue_THFTYPE_i a_1)) False % 3.72/3.92 Clause #15 (by identity loobHoist #[14]): ∀ (a a_1 : Iota), Or (Eq (holdsDuring_THFTYPE_IiooI a True) False) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a_1) False) % 3.72/3.92 Clause #16 (by identity boolHoist #[14]): ∀ (a a_1 : Iota), Or (Eq (holdsDuring_THFTYPE_IiooI a False) False) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a_1) True) % 3.72/3.92 Clause #17 (by superposition #[15, 8]): ∀ (a a_1 : Iota), % 3.72/3.92 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) False) % 3.72/3.92 (Or (Eq False True) (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a_1) True)) % 3.72/3.92 Clause #18 (by superposition #[16, 4]): ∀ (a : Iota), % 3.72/3.92 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) % 3.72/3.92 (Or (Eq False True) (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True)) % 3.72/3.92 Clause #19 (by clausification #[18]): ∀ (a : Iota), % 3.72/3.92 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) % 3.72/3.92 Clause #23 (by clausification #[17]): ∀ (a a_1 : Iota), % 3.72/3.92 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) False) (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a_1) True) % 3.72/3.92 Clause #24 (by superposition #[23, 19]): ∀ (a : Iota), % 3.72/3.92 Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a) True) % 3.72/3.92 (Or (Eq False True) (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True)) % 3.72/3.92 Clause #25 (by clausification #[24]): ∀ (a : Iota), % 3.72/3.92 Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a) True) (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) % 3.72/3.92 Clause #29 (by equality factoring #[25]): Or (Ne True True) (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) % 3.72/3.93 Clause #30 (by clausification #[29]): Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) (Or (Eq True False) (Eq True False)) % 3.72/3.93 Clause #32 (by clausification #[30]): Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) (Eq True False) % 3.72/3.93 Clause #33 (by clausification #[32]): Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True % 3.72/3.93 Clause #34 (by backward demodulation #[33, 3]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) (Eq True False) % 3.72/3.93 Clause #36 (by superposition #[33, 10]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.72/3.93 (Or (Eq True False) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True)) % 3.72/3.93 Clause #41 (by clausification #[34]): Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True % 3.72/3.93 Clause #43 (by superposition #[41, 15]): ∀ (a : Iota), Or (Eq True False) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) False) % 3.72/3.93 Clause #44 (by clausification #[43]): ∀ (a : Iota), Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) False % 3.72/3.93 Clause #50 (by clausification #[36]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.72/3.93 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 3.72/3.93 Clause #51 (by forward demodulation #[50, 44]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) (Eq False True) % 3.72/3.93 Clause #52 (by clausification #[51]): Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True % 3.72/3.93 Clause #53 (by superposition #[52, 16]): ∀ (a : Iota), Or (Eq True False) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) % 3.72/3.93 Clause #54 (by clausification #[53]): ∀ (a : Iota), Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True % 3.72/3.93 Clause #55 (by superposition #[54, 44]): Eq True False % 3.72/3.93 Clause #56 (by clausification #[55]): False % 3.72/3.93 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------