%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR129^1 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n010.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 4.12s 4.32s % Output : Proof 4.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : CSR129^1 : TPTP v9.2.0. Released v4.1.0. % 0.08/0.15 % Command : duper %s % 0.14/0.36 % Computer : n010.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 20:00:08 EDT 2025 % 0.14/0.36 % CPUTime : % 4.12/4.32 SZS status Theorem for theBenchmark.p % 4.12/4.32 SZS output start Proof for theBenchmark.p % 4.12/4.32 Clause #1 (by assumption #[]): Eq % 4.12/4.32 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 4.12/4.32 (parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i)) % 4.12/4.32 True % 4.12/4.32 Clause #3 (by assumption #[]): Eq % 4.12/4.32 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 4.12/4.32 (likes_THFTYPE_IiioI lBob_THFTYPE_i lBill_THFTYPE_i)) % 4.12/4.32 True % 4.12/4.32 Clause #6 (by assumption #[]): Eq % 4.12/4.32 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 4.12/4.32 (parent_THFTYPE_IiioI lMary_THFTYPE_i lBen_THFTYPE_i)) % 4.12/4.32 True % 4.12/4.32 Clause #8 (by assumption #[]): Eq % 4.12/4.32 (Not % 4.12/4.32 (Exists fun R => % 4.12/4.32 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 4.12/4.32 (And (R lSue_THFTYPE_i lBill_THFTYPE_i) (R lMary_THFTYPE_i lBill_THFTYPE_i)))) % 4.12/4.32 True % 4.12/4.32 Clause #10 (by identity boolHoist #[6]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 4.12/4.32 (Eq (parent_THFTYPE_IiioI lMary_THFTYPE_i lBen_THFTYPE_i) True) % 4.12/4.32 Clause #11 (by identity loobHoist #[3]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) % 4.12/4.32 (Eq (likes_THFTYPE_IiioI lBob_THFTYPE_i lBill_THFTYPE_i) False) % 4.12/4.32 Clause #12 (by identity boolHoist #[3]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 4.12/4.32 (Eq (likes_THFTYPE_IiioI lBob_THFTYPE_i lBill_THFTYPE_i) True) % 4.12/4.32 Clause #22 (by identity boolHoist #[1]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 4.12/4.32 (Eq (parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True) % 4.12/4.32 Clause #26 (by clausification #[8]): Eq % 4.12/4.32 (Exists fun R => % 4.12/4.32 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 4.12/4.32 (And (R lSue_THFTYPE_i lBill_THFTYPE_i) (R lMary_THFTYPE_i lBill_THFTYPE_i))) % 4.12/4.32 False % 4.12/4.32 Clause #27 (by clausification #[26]): ∀ (a : Iota → Iota → Prop), % 4.12/4.32 Eq % 4.12/4.32 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 4.12/4.32 (And (a lSue_THFTYPE_i lBill_THFTYPE_i) (a lMary_THFTYPE_i lBill_THFTYPE_i))) % 4.12/4.32 False % 4.12/4.32 Clause #28 (by identity loobHoist #[27]): ∀ (a : Iota → Iota → Prop), % 4.12/4.32 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False) % 4.12/4.32 (Eq (And (a lSue_THFTYPE_i lBill_THFTYPE_i) (a lMary_THFTYPE_i lBill_THFTYPE_i)) False) % 4.12/4.32 Clause #29 (by identity boolHoist #[27]): ∀ (a : Iota → Iota → Prop), % 4.12/4.32 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False) % 4.12/4.32 (Eq (And (a lSue_THFTYPE_i lBill_THFTYPE_i) (a lMary_THFTYPE_i lBill_THFTYPE_i)) True) % 4.12/4.32 Clause #30 (by clausification #[28]): ∀ (a : Iota → Iota → Prop), % 4.12/4.32 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False) % 4.12/4.32 (Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False) (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False)) % 4.12/4.32 Clause #33 (by clausification #[29]): ∀ (a : Iota → Iota → Prop), % 4.12/4.32 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False) % 4.12/4.32 (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) True) % 4.12/4.32 Clause #35 (by superposition #[33, 12]): ∀ (a : Iota → Iota → Prop), % 4.12/4.32 Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) True) % 4.12/4.32 (Or (Eq False True) (Eq (likes_THFTYPE_IiioI lBob_THFTYPE_i lBill_THFTYPE_i) True)) % 4.12/4.32 Clause #36 (by superposition #[33, 10]): ∀ (a : Iota → Iota → Prop), % 4.12/4.32 Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) True) % 4.12/4.32 (Or (Eq False True) (Eq (parent_THFTYPE_IiioI lMary_THFTYPE_i lBen_THFTYPE_i) True)) % 4.12/4.32 Clause #40 (by superposition #[33, 22]): ∀ (a : Iota → Iota → Prop), % 4.12/4.32 Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) True) % 4.12/4.32 (Or (Eq False True) (Eq (parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True)) % 4.12/4.32 Clause #49 (by clausification #[35]): ∀ (a : Iota → Iota → Prop), % 4.12/4.32 Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) True) (Eq (likes_THFTYPE_IiioI lBob_THFTYPE_i lBill_THFTYPE_i) True) % 4.12/4.32 Clause #55 (by equality factoring #[49]): Or (Ne True True) (Eq (likes_THFTYPE_IiioI lBob_THFTYPE_i lBill_THFTYPE_i) True) % 4.12/4.32 Clause #63 (by clausification #[55]): Or (Eq (likes_THFTYPE_IiioI lBob_THFTYPE_i lBill_THFTYPE_i) True) (Or (Eq True False) (Eq True False)) % 4.16/4.33 Clause #65 (by clausification #[63]): Or (Eq (likes_THFTYPE_IiioI lBob_THFTYPE_i lBill_THFTYPE_i) True) (Eq True False) % 4.16/4.33 Clause #66 (by clausification #[65]): Eq (likes_THFTYPE_IiioI lBob_THFTYPE_i lBill_THFTYPE_i) True % 4.16/4.33 Clause #67 (by backward demodulation #[66, 11]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True) (Eq True False) % 4.16/4.33 Clause #69 (by clausification #[67]): Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) True % 4.16/4.33 Clause #70 (by superposition #[69, 30]): ∀ (a : Iota → Iota → Prop), % 4.16/4.33 Or (Eq True False) (Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False) (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False)) % 4.16/4.33 Clause #88 (by clausification #[36]): ∀ (a : Iota → Iota → Prop), % 4.16/4.33 Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) True) (Eq (parent_THFTYPE_IiioI lMary_THFTYPE_i lBen_THFTYPE_i) True) % 4.16/4.33 Clause #94 (by equality factoring #[88]): Or (Ne True True) (Eq (parent_THFTYPE_IiioI lMary_THFTYPE_i lBen_THFTYPE_i) True) % 4.16/4.33 Clause #104 (by clausification #[94]): Or (Eq (parent_THFTYPE_IiioI lMary_THFTYPE_i lBen_THFTYPE_i) True) (Or (Eq True False) (Eq True False)) % 4.16/4.33 Clause #106 (by clausification #[104]): Or (Eq (parent_THFTYPE_IiioI lMary_THFTYPE_i lBen_THFTYPE_i) True) (Eq True False) % 4.16/4.33 Clause #107 (by clausification #[106]): Eq (parent_THFTYPE_IiioI lMary_THFTYPE_i lBen_THFTYPE_i) True % 4.16/4.33 Clause #182 (by clausification #[40]): ∀ (a : Iota → Iota → Prop), % 4.16/4.33 Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) True) (Eq (parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True) % 4.16/4.33 Clause #188 (by equality factoring #[182]): Or (Ne True True) (Eq (parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True) % 4.16/4.33 Clause #197 (by clausification #[188]): Or (Eq (parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True) (Or (Eq True False) (Eq True False)) % 4.16/4.33 Clause #199 (by clausification #[197]): Or (Eq (parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True) (Eq True False) % 4.16/4.33 Clause #200 (by clausification #[199]): Eq (parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True % 4.16/4.33 Clause #241 (by clausification #[70]): ∀ (a : Iota → Iota → Prop), % 4.16/4.33 Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False) (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False) % 4.16/4.33 Clause #258 (by superposition #[241, 200]): Or (Eq ((fun x x_1 => parent_THFTYPE_IiioI x lBen_THFTYPE_i) lMary_THFTYPE_i lBill_THFTYPE_i) False) (Eq False True) % 4.16/4.33 Clause #259 (by betaEtaReduce #[258]): Or (Eq (parent_THFTYPE_IiioI lMary_THFTYPE_i lBen_THFTYPE_i) False) (Eq False True) % 4.16/4.33 Clause #260 (by clausification #[259]): Eq (parent_THFTYPE_IiioI lMary_THFTYPE_i lBen_THFTYPE_i) False % 4.16/4.33 Clause #261 (by superposition #[260, 107]): Eq False True % 4.16/4.33 Clause #267 (by clausification #[261]): False % 4.16/4.33 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------