%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR139^1 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n029.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 07:46:52 PM UTC 2025 % Result : Theorem 4.82s 5.00s % Output : Proof 4.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : CSR139^1 : TPTP v9.2.0. Released v4.1.0. % 0.07/0.13 % Command : duper %s % 0.13/0.34 % Computer : n029.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 19:35:38 EDT 2025 % 0.13/0.34 % CPUTime : % 4.82/5.00 SZS status Theorem for theBenchmark.p % 4.82/5.00 SZS output start Proof for theBenchmark.p % 4.82/5.00 Clause #0 (by assumption #[]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True % 4.82/5.00 Clause #1 (by assumption #[]): Eq (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i)) True % 4.82/5.00 Clause #4 (by assumption #[]): Eq (parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) True % 4.82/5.00 Clause #8 (by assumption #[]): Eq (parent_THFTYPE_IiioI lMary_THFTYPE_i lAnna_THFTYPE_i) True % 4.82/5.00 Clause #10 (by assumption #[]): Eq % 4.82/5.00 (Not % 4.82/5.00 (Exists fun Q => % 4.82/5.00 Exists fun R => Exists fun Y => And (And (R Y lBill_THFTYPE_i) (Q Y lAnna_THFTYPE_i)) (Not (Eq R Q)))) % 4.82/5.00 True % 4.82/5.00 Clause #13 (by clausification #[1]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) False % 4.82/5.00 Clause #14 (by clausification #[10]): Eq % 4.82/5.00 (Exists fun Q => Exists fun R => Exists fun Y => And (And (R Y lBill_THFTYPE_i) (Q Y lAnna_THFTYPE_i)) (Not (Eq R Q))) % 4.82/5.00 False % 4.82/5.00 Clause #15 (by clausification #[14]): ∀ (a : Iota → Iota → Prop), % 4.82/5.00 Eq (Exists fun R => Exists fun Y => And (And (R Y lBill_THFTYPE_i) (a Y lAnna_THFTYPE_i)) (Not (Eq R a))) False % 4.82/5.00 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota → Iota → Prop), % 4.82/5.00 Eq (Exists fun Y => And (And (a Y lBill_THFTYPE_i) (a_1 Y lAnna_THFTYPE_i)) (Not (Eq a a_1))) False % 4.82/5.00 Clause #17 (by clausification #[16]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota) (a_2 : Iota → Iota → Prop), % 4.82/5.00 Eq (And (And (a a_1 lBill_THFTYPE_i) (a_2 a_1 lAnna_THFTYPE_i)) (Not (Eq a a_2))) False % 4.82/5.00 Clause #18 (by clausification #[17]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota) (a_2 : Iota → Iota → Prop), % 4.82/5.00 Or (Eq (And (a a_1 lBill_THFTYPE_i) (a_2 a_1 lAnna_THFTYPE_i)) False) (Eq (Not (Eq a a_2)) False) % 4.82/5.00 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 : Iota), % 4.82/5.00 Or (Eq (Not (Eq a a_1)) False) (Or (Eq (a a_2 lBill_THFTYPE_i) False) (Eq (a_1 a_2 lAnna_THFTYPE_i) False)) % 4.82/5.00 Clause #20 (by clausification #[19]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota) (a_2 : Iota → Iota → Prop), % 4.82/5.00 Or (Eq (a a_1 lBill_THFTYPE_i) False) (Or (Eq (a_2 a_1 lAnna_THFTYPE_i) False) (Eq (Eq a a_2) True)) % 4.82/5.00 Clause #21 (by clausification #[20]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota) (a_2 : Iota → Iota → Prop), % 4.82/5.00 Or (Eq (a a_1 lBill_THFTYPE_i) False) (Or (Eq (a_2 a_1 lAnna_THFTYPE_i) False) (Eq a a_2)) % 4.82/5.00 Clause #22 (by superposition #[21, 8]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota), % 4.82/5.00 Or (Eq (a a_1 lAnna_THFTYPE_i) False) % 4.82/5.00 (Or (Eq (fun x x => parent_THFTYPE_IiioI lMary_THFTYPE_i lAnna_THFTYPE_i) a) (Eq False True)) % 4.82/5.00 Clause #25 (by superposition #[21, 4]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota), % 4.82/5.00 Or (Eq (a a_1 lAnna_THFTYPE_i) False) % 4.82/5.00 (Or (Eq (fun x x => parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) a) (Eq False True)) % 4.82/5.00 Clause #41 (by clausification #[22]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota), % 4.82/5.00 Or (Eq (a a_1 lAnna_THFTYPE_i) False) (Eq (fun x x => parent_THFTYPE_IiioI lMary_THFTYPE_i lAnna_THFTYPE_i) a) % 4.82/5.00 Clause #52 (by fluidSup #[41, 8]): ∀ (a : Iota → Iota → Prop) (a_1 : Prop → Iota), % 4.82/5.00 Or (Eq (a (a_1 True) lAnna_THFTYPE_i) False) (Eq (fun x x => parent_THFTYPE_IiioI lMary_THFTYPE_i lAnna_THFTYPE_i) a) % 4.82/5.00 Clause #76 (by superposition #[52, 8]): Or % 4.82/5.00 (Eq (fun x x => parent_THFTYPE_IiioI lMary_THFTYPE_i lAnna_THFTYPE_i) fun x x => % 4.82/5.00 parent_THFTYPE_IiioI lMary_THFTYPE_i x) % 4.82/5.00 (Eq False True) % 4.82/5.00 Clause #77 (by clausification #[76]): Eq (fun x x => parent_THFTYPE_IiioI lMary_THFTYPE_i lAnna_THFTYPE_i) fun x x => parent_THFTYPE_IiioI lMary_THFTYPE_i x % 4.82/5.00 Clause #78 (by argument congruence #[77]): ∀ (a : Iota), % 4.82/5.00 Eq ((fun x x => parent_THFTYPE_IiioI lMary_THFTYPE_i lAnna_THFTYPE_i) a) % 4.82/5.00 ((fun x x => parent_THFTYPE_IiioI lMary_THFTYPE_i x) a) % 4.82/5.00 Clause #81 (by betaEtaReduce #[78]): Eq (fun x => parent_THFTYPE_IiioI lMary_THFTYPE_i lAnna_THFTYPE_i) (parent_THFTYPE_IiioI lMary_THFTYPE_i) % 4.82/5.00 Clause #188 (by clausification #[25]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota), % 4.82/5.00 Or (Eq (a a_1 lAnna_THFTYPE_i) False) (Eq (fun x x => parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) a) % 4.82/5.00 Clause #200 (by fluidSup #[188, 81]): ∀ (a : Iota → Iota → Prop) (a_1 : (Iota → Prop) → Iota), % 4.82/5.02 Or (Eq (a (a_1 (parent_THFTYPE_IiioI lMary_THFTYPE_i)) lAnna_THFTYPE_i) False) % 4.82/5.02 (Eq (fun x x => parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) a) % 4.82/5.02 Clause #224 (by superposition #[200, 0]): Or % 4.82/5.02 (Eq (fun x x => parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) fun x x_1 => likes_THFTYPE_IiioI lSue_THFTYPE_i x) % 4.82/5.02 (Eq False True) % 4.82/5.02 Clause #225 (by clausification #[224]): Eq (fun x x => parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) fun x x_1 => likes_THFTYPE_IiioI lSue_THFTYPE_i x % 4.82/5.02 Clause #226 (by argument congruence #[225]): ∀ (a : Iota), % 4.82/5.02 Eq ((fun x x => parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) a) % 4.82/5.02 ((fun x x_1 => likes_THFTYPE_IiioI lSue_THFTYPE_i x) a) % 4.82/5.02 Clause #241 (by betaEtaReduce #[226]): ∀ (a : Iota), % 4.82/5.02 Eq (fun x => parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) fun x => likes_THFTYPE_IiioI lSue_THFTYPE_i a % 4.82/5.02 Clause #243 (by argument congruence #[241]): ∀ (a a_1 : Iota), % 4.82/5.02 Eq ((fun x => parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) a) % 4.82/5.02 ((fun x => likes_THFTYPE_IiioI lSue_THFTYPE_i a_1) a) % 4.82/5.02 Clause #285 (by betaEtaReduce #[243]): ∀ (a : Iota), Eq (parent_THFTYPE_IiioI lSue_THFTYPE_i lBen_THFTYPE_i) (likes_THFTYPE_IiioI lSue_THFTYPE_i a) % 4.82/5.02 Clause #286 (by forward demodulation #[285, 4]): ∀ (a : Iota), Eq True (likes_THFTYPE_IiioI lSue_THFTYPE_i a) % 4.82/5.02 Clause #289 (by superposition #[286, 13]): Eq True False % 4.82/5.02 Clause #301 (by clausification #[289]): False % 4.82/5.02 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------