%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR135^2 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n002.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 07:46:51 PM UTC 2025 % Result : Theorem 3.45s 3.66s % Output : Proof 3.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : CSR135^2 : TPTP v9.2.0. Released v4.1.0. % 0.08/0.14 % Command : duper %s % 0.15/0.36 % Computer : n002.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 300 % 0.15/0.36 % DateTime : Thu Oct 2 19:47:08 EDT 2025 % 0.15/0.36 % CPUTime : % 3.45/3.66 SZS status Theorem for theBenchmark.p % 3.45/3.66 SZS output start Proof for theBenchmark.p % 3.45/3.66 Clause #6 (by assumption #[]): Eq (parent_THFTYPE_IiioI lSue_THFTYPE_i lAnna_THFTYPE_i) True % 3.45/3.66 Clause #7 (by assumption #[]): Eq (parent_THFTYPE_IiioI lMary_THFTYPE_i lAnna_THFTYPE_i) True % 3.45/3.66 Clause #8 (by assumption #[]): Eq (Not (Exists fun R => And (R lSue_THFTYPE_i lBill_THFTYPE_i) (R lMary_THFTYPE_i lBill_THFTYPE_i))) True % 3.45/3.66 Clause #10 (by clausification #[8]): Eq (Exists fun R => And (R lSue_THFTYPE_i lBill_THFTYPE_i) (R lMary_THFTYPE_i lBill_THFTYPE_i)) False % 3.45/3.66 Clause #11 (by clausification #[10]): ∀ (a : Iota → Iota → Prop), Eq (And (a lSue_THFTYPE_i lBill_THFTYPE_i) (a lMary_THFTYPE_i lBill_THFTYPE_i)) False % 3.45/3.66 Clause #12 (by clausification #[11]): ∀ (a : Iota → Iota → Prop), % 3.45/3.66 Or (Eq (a lSue_THFTYPE_i lBill_THFTYPE_i) False) (Eq (a lMary_THFTYPE_i lBill_THFTYPE_i) False) % 3.45/3.66 Clause #27 (by superposition #[12, 6]): Or (Eq ((fun x x_1 => parent_THFTYPE_IiioI x lAnna_THFTYPE_i) lMary_THFTYPE_i lBill_THFTYPE_i) False) (Eq False True) % 3.45/3.66 Clause #28 (by betaEtaReduce #[27]): Or (Eq (parent_THFTYPE_IiioI lMary_THFTYPE_i lAnna_THFTYPE_i) False) (Eq False True) % 3.45/3.66 Clause #29 (by clausification #[28]): Eq (parent_THFTYPE_IiioI lMary_THFTYPE_i lAnna_THFTYPE_i) False % 3.45/3.66 Clause #30 (by superposition #[29, 7]): Eq False True % 3.45/3.66 Clause #36 (by clausification #[30]): False % 3.45/3.66 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------