%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR127^2 : 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 9.49s 9.74s % Output : Proof 9.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : CSR127^2 : TPTP v9.2.0. Released v4.1.0. % 0.03/0.14 % Command : duper %s % 0.14/0.36 % Computer : n019.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 19:26:23 EDT 2025 % 0.14/0.36 % CPUTime : % 9.49/9.74 SZS status Theorem for theBenchmark.p % 9.49/9.74 SZS output start Proof for theBenchmark.p % 9.49/9.74 Clause #5 (by assumption #[]): Eq % 9.49/9.74 (∀ (X : Iota), % 9.49/9.74 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 9.49/9.74 (likes_THFTYPE_IiioI lMary_THFTYPE_i X → likes_THFTYPE_IiioI lSue_THFTYPE_i X)) % 9.49/9.74 True % 9.49/9.74 Clause #22 (by assumption #[]): Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True % 9.49/9.74 Clause #189 (by assumption #[]): Eq % 9.49/9.74 (Not % 9.49/9.74 (Exists fun Y => % 9.49/9.74 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (likes_THFTYPE_IiioI Y lBill_THFTYPE_i))) % 9.49/9.74 True % 9.49/9.74 Clause #210 (by clausification #[5]): ∀ (a : Iota), % 9.49/9.74 Eq % 9.49/9.74 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 9.49/9.74 (likes_THFTYPE_IiioI lMary_THFTYPE_i a → likes_THFTYPE_IiioI lSue_THFTYPE_i a)) % 9.49/9.74 True % 9.49/9.74 Clause #211 (by identity loobHoist #[210]): ∀ (a : Iota), % 9.49/9.74 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 9.49/9.74 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a → likes_THFTYPE_IiioI lSue_THFTYPE_i a) False) % 9.49/9.74 Clause #212 (by identity boolHoist #[210]): ∀ (a : Iota), % 9.49/9.74 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 9.49/9.74 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a → likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) % 9.49/9.74 Clause #213 (by clausification #[211]): ∀ (a : Iota), % 9.49/9.74 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 9.49/9.74 (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a) True) % 9.49/9.74 Clause #214 (by clausification #[211]): ∀ (a : Iota), % 9.49/9.74 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 9.49/9.74 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) False) % 9.49/9.74 Clause #2802 (by clausification #[189]): Eq % 9.49/9.74 (Exists fun Y => % 9.49/9.74 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (likes_THFTYPE_IiioI Y lBill_THFTYPE_i)) % 9.49/9.74 False % 9.49/9.74 Clause #2803 (by clausification #[2802]): ∀ (a : Iota), % 9.49/9.74 Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (likes_THFTYPE_IiioI a lBill_THFTYPE_i)) False % 9.49/9.74 Clause #2804 (by identity loobHoist #[2803]): ∀ (a : Iota), % 9.49/9.74 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False) % 9.49/9.74 (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) False) % 9.49/9.74 Clause #2805 (by identity boolHoist #[2803]): ∀ (a : Iota), % 9.49/9.74 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False) % 9.49/9.74 (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) True) % 9.49/9.74 Clause #2806 (by superposition #[2804, 213]): ∀ (a a_1 : Iota), % 9.49/9.74 Or (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) False) % 9.49/9.74 (Or (Eq False True) (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a_1) True)) % 9.49/9.74 Clause #2876 (by clausification #[2806]): ∀ (a a_1 : Iota), % 9.49/9.74 Or (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) False) (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a_1) True) % 9.49/9.74 Clause #2877 (by superposition #[2876, 22]): ∀ (a : Iota), Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a) True) (Eq False True) % 9.49/9.74 Clause #2882 (by clausification #[2877]): ∀ (a : Iota), Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a) True % 9.49/9.74 Clause #3051 (by clausification #[212]): ∀ (a : Iota), % 9.49/9.74 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 9.49/9.74 (Or (Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i a) False) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True)) % 9.49/9.74 Clause #3052 (by forward demodulation #[3051, 2882]): ∀ (a : Iota), % 9.49/9.74 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 9.49/9.74 (Or (Eq True False) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True)) % 9.49/9.74 Clause #3053 (by clausification #[3052]): ∀ (a : Iota), % 9.49/9.74 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 9.49/9.74 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) % 9.49/9.74 Clause #3054 (by superposition #[3053, 2805]): ∀ (a a_1 : Iota), % 9.49/9.74 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) % 9.49/9.74 (Or (Eq True False) (Eq (likes_THFTYPE_IiioI a_1 lBill_THFTYPE_i) True)) % 9.49/9.74 Clause #3090 (by clausification #[3054]): ∀ (a a_1 : Iota), % 9.49/9.74 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) (Eq (likes_THFTYPE_IiioI a_1 lBill_THFTYPE_i) True) % 9.59/9.77 Clause #3093 (by equality factoring #[3090]): Or (Ne True True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) % 9.59/9.77 Clause #3128 (by clausification #[3093]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) (Or (Eq True False) (Eq True False)) % 9.59/9.77 Clause #3130 (by clausification #[3128]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True) (Eq True False) % 9.59/9.77 Clause #3131 (by clausification #[3130]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True % 9.59/9.77 Clause #3132 (by superposition #[3131, 214]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) (Eq True False) % 9.59/9.77 Clause #3147 (by clausification #[3132]): Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True % 9.59/9.77 Clause #3148 (by superposition #[3147, 2804]): ∀ (a : Iota), Or (Eq True False) (Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) False) % 9.59/9.77 Clause #3163 (by clausification #[3148]): ∀ (a : Iota), Eq (likes_THFTYPE_IiioI a lBill_THFTYPE_i) False % 9.59/9.77 Clause #3164 (by superposition #[3163, 3131]): Eq False True % 9.59/9.77 Clause #3175 (by clausification #[3164]): False % 9.59/9.77 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------