%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR123^1 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.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 07:46:49 PM UTC 2025 % Result : Theorem 3.69s 3.93s % Output : Proof 3.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : CSR123^1 : TPTP v9.2.0. Released v4.1.0. % 0.06/0.13 % Command : duper %s % 0.13/0.34 % Computer : n026.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 19:30:38 EDT 2025 % 0.13/0.34 % CPUTime : % 3.69/3.93 SZS status Theorem for theBenchmark.p % 3.69/3.93 SZS output start Proof for theBenchmark.p % 3.69/3.93 Clause #0 (by assumption #[]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True % 3.69/3.93 Clause #1 (by assumption #[]): Eq (likes_THFTYPE_IiioI lMary_THFTYPE_i lBill_THFTYPE_i) True % 3.69/3.93 Clause #2 (by assumption #[]): Eq % 3.69/3.93 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 3.69/3.93 (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i))) % 3.69/3.93 True % 3.69/3.93 Clause #3 (by assumption #[]): Eq % 3.69/3.93 (Not % 3.69/3.93 (Exists fun P => % 3.69/3.93 Exists fun X => % 3.69/3.93 Exists fun Y => % 3.69/3.93 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 3.69/3.93 (And (P lSue_THFTYPE_i X) (Not (P lSue_THFTYPE_i Y))))) % 3.69/3.93 True % 3.69/3.93 Clause #4 (by identity loobHoist #[2]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 3.69/3.93 (Eq (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i)) False) % 3.69/3.93 Clause #5 (by identity boolHoist #[2]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.69/3.93 (Eq (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i)) True) % 3.69/3.93 Clause #6 (by clausification #[4]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 3.69/3.93 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True) % 3.69/3.93 Clause #7 (by clausification #[5]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 3.69/3.93 (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) False) % 3.69/3.93 Clause #8 (by clausification #[3]): Eq % 3.69/3.93 (Exists fun P => % 3.69/3.93 Exists fun X => % 3.69/3.93 Exists fun Y => % 3.69/3.93 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 3.69/3.93 (And (P lSue_THFTYPE_i X) (Not (P lSue_THFTYPE_i Y)))) % 3.69/3.93 False % 3.69/3.93 Clause #9 (by clausification #[8]): ∀ (a : Iota → Iota → Prop), % 3.69/3.93 Eq % 3.69/3.93 (Exists fun X => % 3.69/3.93 Exists fun Y => % 3.69/3.93 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 3.69/3.93 (And (a lSue_THFTYPE_i X) (Not (a lSue_THFTYPE_i Y)))) % 3.69/3.93 False % 3.69/3.93 Clause #10 (by clausification #[9]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota), % 3.69/3.93 Eq % 3.69/3.93 (Exists fun Y => % 3.69/3.93 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 3.69/3.93 (And (a lSue_THFTYPE_i a_1) (Not (a lSue_THFTYPE_i Y)))) % 3.69/3.93 False % 3.69/3.93 Clause #11 (by clausification #[10]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota), % 3.69/3.93 Eq % 3.69/3.93 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 3.69/3.93 (And (a lSue_THFTYPE_i a_1) (Not (a lSue_THFTYPE_i a_2)))) % 3.69/3.93 False % 3.69/3.93 Clause #12 (by identity loobHoist #[11]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota), % 3.69/3.93 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False) % 3.69/3.93 (Eq (And (a lSue_THFTYPE_i a_1) (Not (a lSue_THFTYPE_i a_2))) False) % 3.69/3.93 Clause #13 (by identity boolHoist #[11]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota), % 3.69/3.93 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False) % 3.69/3.93 (Eq (And (a lSue_THFTYPE_i a_1) (Not (a lSue_THFTYPE_i a_2))) True) % 3.69/3.93 Clause #14 (by clausification #[12]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota), % 3.69/3.93 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False) % 3.69/3.93 (Or (Eq (a lSue_THFTYPE_i a_1) False) (Eq (Not (a lSue_THFTYPE_i a_2)) False)) % 3.69/3.93 Clause #15 (by clausification #[14]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota), % 3.69/3.93 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False) % 3.69/3.93 (Or (Eq (a lSue_THFTYPE_i a_1) False) (Eq (a lSue_THFTYPE_i a_2) True)) % 3.69/3.93 Clause #16 (by superposition #[15, 6]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota), % 3.69/3.93 Or (Eq (a lSue_THFTYPE_i a_1) False) % 3.69/3.93 (Or (Eq (a lSue_THFTYPE_i a_2) True) % 3.69/3.93 (Or (Eq False True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True))) % 3.69/3.93 Clause #17 (by clausification #[13]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota), % 3.69/3.93 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False) % 3.69/3.93 (Eq (Not (a lSue_THFTYPE_i a_1)) True) % 3.69/3.93 Clause #19 (by clausification #[17]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota), % 3.69/3.93 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False) % 3.77/3.94 (Eq (a lSue_THFTYPE_i a_1) False) % 3.77/3.94 Clause #20 (by clausification #[16]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota), % 3.77/3.94 Or (Eq (a lSue_THFTYPE_i a_1) False) % 3.77/3.94 (Or (Eq (a lSue_THFTYPE_i a_2) True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True)) % 3.77/3.94 Clause #32 (by superposition #[20, 0]): ∀ (a : Iota), % 3.77/3.94 Or (Eq ((fun x x => likes_THFTYPE_IiioI lSue_THFTYPE_i x) lSue_THFTYPE_i a) True) % 3.77/3.94 (Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True) (Eq False True)) % 3.77/3.94 Clause #44 (by betaEtaReduce #[32]): ∀ (a : Iota), % 3.77/3.94 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) % 3.77/3.94 (Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True) (Eq False True)) % 3.77/3.94 Clause #45 (by clausification #[44]): ∀ (a : Iota), % 3.77/3.94 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True) % 3.77/3.94 Clause #47 (by equality factoring #[45]): Or (Ne True True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True) % 3.77/3.94 Clause #57 (by clausification #[47]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True) (Or (Eq True False) (Eq True False)) % 3.77/3.94 Clause #59 (by clausification #[57]): Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True) (Eq True False) % 3.77/3.94 Clause #60 (by clausification #[59]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True % 3.77/3.94 Clause #62 (by backward demodulation #[60, 7]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) (Eq True False) % 3.77/3.94 Clause #67 (by clausification #[62]): Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True % 3.77/3.94 Clause #68 (by superposition #[67, 19]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota), Or (Eq True False) (Eq (a lSue_THFTYPE_i a_1) False) % 3.77/3.94 Clause #87 (by clausification #[68]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota), Eq (a lSue_THFTYPE_i a_1) False % 3.77/3.94 Clause #88 (by superposition #[87, 1]): Eq False True % 3.77/3.94 Clause #97 (by clausification #[88]): False % 3.77/3.94 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------