%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR136^2 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n020.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 4.10s 4.32s % Output : Proof 4.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : CSR136^2 : TPTP v9.2.0. Released v4.1.0. % 0.10/0.13 % Command : duper %s % 0.12/0.34 % Computer : n020.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Oct 2 20:30:08 EDT 2025 % 0.12/0.34 % CPUTime : % 4.10/4.32 SZS status Theorem for theBenchmark.p % 4.10/4.32 SZS output start Proof for theBenchmark.p % 4.10/4.32 Clause #0 (by assumption #[]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) True % 4.10/4.32 Clause #1 (by assumption #[]): Eq (Not (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i)) True % 4.10/4.32 Clause #8 (by assumption #[]): Eq % 4.10/4.32 (Not % 4.10/4.32 (Exists fun R => % 4.10/4.32 And (And (R lSue_THFTYPE_i lBill_THFTYPE_i) (R lMary_THFTYPE_i lBill_THFTYPE_i)) (Not (∀ (A B : Iota), R A B)))) % 4.10/4.32 True % 4.10/4.32 Clause #9 (by clausification #[1]): Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lMary_THFTYPE_i) False % 4.10/4.32 Clause #10 (by clausification #[8]): Eq % 4.10/4.32 (Exists fun R => % 4.10/4.32 And (And (R lSue_THFTYPE_i lBill_THFTYPE_i) (R lMary_THFTYPE_i lBill_THFTYPE_i)) (Not (∀ (A B : Iota), R A B))) % 4.10/4.32 False % 4.10/4.32 Clause #11 (by clausification #[10]): ∀ (a : Iota → Iota → Prop), % 4.10/4.32 Eq (And (And (a lSue_THFTYPE_i lBill_THFTYPE_i) (a lMary_THFTYPE_i lBill_THFTYPE_i)) (Not (∀ (A B : Iota), a A B))) % 4.10/4.32 False % 4.10/4.32 Clause #12 (by clausification #[11]): ∀ (a : Iota → Iota → Prop), % 4.10/4.32 Or (Eq (And (a lSue_THFTYPE_i lBill_THFTYPE_i) (a lMary_THFTYPE_i lBill_THFTYPE_i)) False) % 4.10/4.32 (Eq (Not (∀ (A B : Iota), a A B)) False) % 4.10/4.32 Clause #13 (by clausification #[12]): ∀ (a : Iota → Iota → Prop), % 4.10/4.32 Or (Eq (Not (∀ (A B : Iota), a A B)) False) % 4.10/4.32 (Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False) (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False)) % 4.10/4.32 Clause #14 (by clausification #[13]): ∀ (a : Iota → Iota → Prop), % 4.10/4.32 Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False) % 4.10/4.32 (Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False) (Eq (∀ (A B : Iota), a A B) True)) % 4.10/4.32 Clause #15 (by clausification #[14]): ∀ (a : Iota → Iota → Prop) (a_1 : Iota), % 4.10/4.32 Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False) % 4.10/4.32 (Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False) (Eq (∀ (B : Iota), a a_1 B) True)) % 4.10/4.32 Clause #16 (by clausification #[15]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota), % 4.10/4.32 Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False) % 4.10/4.32 (Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False) (Eq (a a_1 a_2) True)) % 4.10/4.32 Clause #28 (by fluidLoobHoist #[16]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota), % 4.10/4.32 Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False) % 4.10/4.32 (Or (Eq (a a_1 a_2) True) (Or (Eq True False) (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False))) % 4.10/4.32 Clause #34 (by clausification #[28]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota), % 4.10/4.32 Or (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False) % 4.10/4.32 (Or (Eq (a a_1 a_2) True) (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False)) % 4.10/4.32 Clause #46 (by fluidLoobHoist #[34]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota), % 4.10/4.32 Or (Eq (a a_1 a_2) True) % 4.10/4.32 (Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False) % 4.10/4.32 (Or (Eq True False) (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False))) % 4.10/4.32 Clause #50 (by clausification #[46]): ∀ (a : Iota → Iota → Prop) (a_1 a_2 : Iota), % 4.10/4.32 Or (Eq (a a_1 a_2) True) % 4.10/4.32 (Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False) (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False)) % 4.10/4.32 Clause #64 (by superposition #[50, 0]): ∀ (a a_1 : Iota), % 4.10/4.32 Or (Eq ((fun x x => likes_THFTYPE_IiioI lSue_THFTYPE_i x) a a_1) True) % 4.10/4.32 (Or (Eq ((fun x x => likes_THFTYPE_IiioI lSue_THFTYPE_i x) lMary_THFTYPE_i lBill_THFTYPE_i) False) (Eq False True)) % 4.10/4.32 Clause #226 (by betaEtaReduce #[64]): ∀ (a : Iota), % 4.10/4.32 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) % 4.10/4.32 (Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) False) (Eq False True)) % 4.10/4.32 Clause #227 (by clausification #[226]): ∀ (a : Iota), % 4.10/4.32 Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i lBill_THFTYPE_i) False) % 4.10/4.32 Clause #228 (by superposition #[227, 0]): ∀ (a : Iota), Or (Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True) (Eq False True) % 4.10/4.32 Clause #237 (by clausification #[228]): ∀ (a : Iota), Eq (likes_THFTYPE_IiioI lSue_THFTYPE_i a) True % 4.10/4.32 Clause #238 (by superposition #[237, 9]): Eq True False % 4.10/4.32 Clause #269 (by clausification #[238]): False % 4.10/4.32 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------