%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR120^1 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n023.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 5.41s 5.61s % Output : Proof 5.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.09 % Problem : CSR120^1 : TPTP v9.2.0. Released v4.1.0. % 0.07/0.10 % Command : duper %s % 0.07/0.29 % Computer : n023.cluster.edu % 0.07/0.29 % Model : x86_64 x86_64 % 0.07/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.29 % Memory : 8042.1875MB % 0.07/0.29 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.29 % CPULimit : 300 % 0.07/0.29 % WCLimit : 300 % 0.07/0.29 % DateTime : Thu Oct 2 19:31:23 EDT 2025 % 0.07/0.29 % CPUTime : % 5.41/5.61 SZS status Theorem for theBenchmark.p % 5.41/5.61 SZS output start Proof for theBenchmark.p % 5.41/5.61 Clause #0 (by assumption #[]): Eq % 5.41/5.61 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 5.41/5.61 (Not % 5.41/5.61 (Or (Not (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i)) % 5.41/5.61 (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i))))) % 5.41/5.61 True % 5.41/5.61 Clause #1 (by assumption #[]): Eq % 5.41/5.61 (Not % 5.41/5.61 (Exists fun Y => % 5.41/5.61 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (likes_THFTYPE_IiioI Y lBill_THFTYPE_i))) % 5.41/5.61 True % 5.41/5.61 Clause #2 (by clausification #[1]): Eq % 5.41/5.61 (Exists fun Y => % 5.41/5.61 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (likes_THFTYPE_IiioI Y lBill_THFTYPE_i)) % 5.41/5.61 False % 5.41/5.61 Clause #3 (by clausification #[2]): ∀ (a : Iota), % 5.41/5.61 Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (likes_THFTYPE_IiioI a lBill_THFTYPE_i)) False % 5.41/5.61 Clause #4 (by identity loobHoist #[3]): ∀ (a : Iota), % 5.41/5.61 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False) % 5.41/5.61 (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) False) % 5.41/5.61 Clause #5 (by identity boolHoist #[3]): ∀ (a : Iota), % 5.41/5.61 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False) % 5.41/5.61 (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) True) % 5.41/5.61 Clause #6 (by identity loobHoist #[0]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 5.41/5.61 (Eq % 5.41/5.61 (Not % 5.41/5.61 (Or (Not (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i)) % 5.41/5.61 (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i)))) % 5.41/5.61 False) % 5.41/5.61 Clause #7 (by identity boolHoist #[0]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 5.41/5.61 (Eq % 5.41/5.61 (Not % 5.41/5.61 (Or (Not (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i)) % 5.41/5.61 (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i)))) % 5.41/5.61 True) % 5.41/5.61 Clause #8 (by clausification #[6]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 5.41/5.61 (Eq % 5.41/5.61 (Or (Not (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i)) % 5.41/5.61 (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i))) % 5.41/5.61 True) % 5.41/5.61 Clause #9 (by clausification #[8]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 5.41/5.61 (Or (Eq (Not (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i)) True) % 5.41/5.61 (Eq (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i)) True)) % 5.41/5.61 Clause #10 (by clausification #[9]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 5.41/5.61 (Or (Eq (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i)) True) % 5.41/5.61 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) False)) % 5.41/5.61 Clause #11 (by clausification #[10]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 5.41/5.61 (Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) False) % 5.41/5.61 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) False)) % 5.41/5.61 Clause #12 (by clausification #[7]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 5.41/5.61 (Eq % 5.41/5.61 (Or (Not (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i)) % 5.41/5.61 (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i))) % 5.41/5.61 False) % 5.41/5.61 Clause #13 (by clausification #[12]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 5.41/5.61 (Eq (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i)) False) % 5.41/5.61 Clause #14 (by clausification #[12]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 5.41/5.61 (Eq (Not (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i)) False) % 5.41/5.61 Clause #15 (by clausification #[13]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 5.41/5.61 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 5.41/5.61 Clause #16 (by superposition #[15, 5]): ∀ (a : Iota), % 5.41/5.61 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 5.41/5.61 (Or (Eq True False) (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) True)) % 5.41/5.61 Clause #17 (by clausification #[16]): ∀ (a : Iota), % 5.41/5.61 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) True) % 5.45/5.63 Clause #19 (by equality factoring #[17]): Or (Ne True True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 5.45/5.63 Clause #20 (by clausification #[14]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 5.45/5.63 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) % 5.45/5.63 Clause #21 (by superposition #[20, 5]): ∀ (a : Iota), % 5.45/5.63 Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) % 5.45/5.63 (Or (Eq True False) (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) True)) % 5.45/5.63 Clause #22 (by clausification #[19]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) (Or (Eq True False) (Eq True False)) % 5.45/5.63 Clause #24 (by clausification #[22]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) (Eq True False) % 5.45/5.63 Clause #25 (by clausification #[24]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True % 5.45/5.63 Clause #26 (by backward demodulation #[25, 11]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 5.45/5.63 (Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) False) (Eq True False)) % 5.45/5.63 Clause #28 (by clausification #[21]): ∀ (a : Iota), % 5.45/5.63 Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) True) % 5.45/5.63 Clause #29 (by equality factoring #[28]): Or (Ne True True) (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) % 5.45/5.63 Clause #30 (by clausification #[29]): Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) (Or (Eq True False) (Eq True False)) % 5.45/5.63 Clause #32 (by clausification #[30]): Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True) (Eq True False) % 5.45/5.63 Clause #33 (by clausification #[32]): Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True % 5.45/5.63 Clause #35 (by clausification #[26]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 5.45/5.63 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) False) % 5.45/5.63 Clause #36 (by forward demodulation #[35, 33]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) (Eq True False) % 5.45/5.63 Clause #37 (by clausification #[36]): Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True % 5.45/5.63 Clause #38 (by superposition #[37, 4]): ∀ (a : Iota), Or (Eq True False) (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) False) % 5.45/5.63 Clause #39 (by clausification #[38]): ∀ (a : Iota), Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) False % 5.45/5.63 Clause #40 (by superposition #[39, 25]): Eq False True % 5.45/5.63 Clause #41 (by clausification #[40]): False % 5.45/5.63 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------