%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR143^1 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n025.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 07:46:53 PM UTC 2025 % Result : Theorem 4.02s 4.20s % Output : Proof 4.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : CSR143^1 : TPTP v9.2.0. Released v4.1.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n025.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 20:13:53 EDT 2025 % 0.13/0.35 % CPUTime : % 4.02/4.20 SZS status Theorem for theBenchmark.p % 4.02/4.20 SZS output start Proof for theBenchmark.p % 4.02/4.20 Clause #0 (by assumption #[]): Eq (inverse_THFTYPE_IIiioIIiioIoI husband_THFTYPE_IiioI wife_THFTYPE_IiioI) True % 4.02/4.20 Clause #1 (by assumption #[]): Eq % 4.02/4.20 (∀ (REL2 REL1 : Iota → Iota → Prop), % 4.02/4.20 inverse_THFTYPE_IIiioIIiioIoI REL1 REL2 → ∀ (INST1 INST2 : Iota), Iff (REL1 INST1 INST2) (REL2 INST2 INST1)) % 4.02/4.20 True % 4.02/4.20 Clause #2 (by assumption #[]): Eq (∀ (Z : Iota), holdsDuring_THFTYPE_IiooI Z True) True % 4.02/4.20 Clause #3 (by assumption #[]): Eq % 4.02/4.20 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 4.02/4.20 (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i)) % 4.02/4.20 True % 4.02/4.20 Clause #4 (by assumption #[]): Eq % 4.02/4.20 (Not % 4.02/4.20 (Exists fun X => % 4.02/4.20 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (husband_THFTYPE_IiioI X lCorina_THFTYPE_i))) % 4.02/4.20 True % 4.02/4.20 Clause #5 (by clausification #[2]): ∀ (a : Iota), Eq (holdsDuring_THFTYPE_IiooI a True) True % 4.02/4.20 Clause #7 (by identity boolHoist #[3]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 4.02/4.20 (Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True) % 4.02/4.20 Clause #8 (by clausification #[4]): Eq % 4.02/4.20 (Exists fun X => % 4.02/4.20 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (husband_THFTYPE_IiioI X lCorina_THFTYPE_i)) % 4.02/4.20 False % 4.02/4.20 Clause #9 (by clausification #[8]): ∀ (a : Iota), % 4.02/4.20 Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (husband_THFTYPE_IiioI a lCorina_THFTYPE_i)) % 4.02/4.20 False % 4.02/4.20 Clause #10 (by identity loobHoist #[9]): ∀ (a : Iota), % 4.02/4.20 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False) % 4.02/4.20 (Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) False) % 4.02/4.20 Clause #11 (by identity boolHoist #[9]): ∀ (a : Iota), % 4.02/4.20 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False) % 4.02/4.20 (Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) True) % 4.02/4.20 Clause #12 (by superposition #[10, 5]): ∀ (a : Iota), Or (Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) False) (Eq False True) % 4.02/4.20 Clause #13 (by clausification #[1]): ∀ (a : Iota → Iota → Prop), % 4.02/4.20 Eq % 4.02/4.20 (∀ (REL1 : Iota → Iota → Prop), % 4.02/4.20 inverse_THFTYPE_IIiioIIiioIoI REL1 a → ∀ (INST1 INST2 : Iota), Iff (REL1 INST1 INST2) (a INST2 INST1)) % 4.02/4.20 True % 4.02/4.20 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota → Iota → Prop), % 4.02/4.20 Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1 → ∀ (INST1 INST2 : Iota), Iff (a INST1 INST2) (a_1 INST2 INST1)) True % 4.02/4.20 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota → Iota → Prop), % 4.02/4.20 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) % 4.02/4.20 (Eq (∀ (INST1 INST2 : Iota), Iff (a INST1 INST2) (a_1 INST2 INST1)) True) % 4.02/4.20 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 : Iota), % 4.02/4.20 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) (Eq (∀ (INST2 : Iota), Iff (a a_2 INST2) (a_1 INST2 a_2)) True) % 4.02/4.20 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 a_3 : Iota), % 4.02/4.20 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) (Eq (Iff (a a_2 a_3) (a_1 a_3 a_2)) True) % 4.02/4.20 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 a_3 : Iota), % 4.02/4.20 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) (Or (Eq (a a_2 a_3) True) (Eq (a_1 a_3 a_2) False)) % 4.02/4.20 Clause #20 (by superposition #[18, 0]): ∀ (a a_1 : Iota), % 4.02/4.20 Or (Eq ((fun x x_1 => husband_THFTYPE_IiioI x x_1) a a_1) True) % 4.02/4.20 (Or (Eq ((fun x x_1 => wife_THFTYPE_IiioI x x_1) a_1 a) False) (Eq False True)) % 4.02/4.20 Clause #21 (by clausification #[12]): ∀ (a : Iota), Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) False % 4.02/4.20 Clause #22 (by superposition #[11, 7]): ∀ (a : Iota), % 4.02/4.20 Or (Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) True) % 4.02/4.20 (Or (Eq False True) (Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True)) % 4.02/4.20 Clause #23 (by clausification #[22]): ∀ (a : Iota), % 4.02/4.20 Or (Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) True) % 4.02/4.20 (Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True) % 4.02/4.20 Clause #24 (by superposition #[23, 21]): Or (Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True) (Eq True False) % 4.02/4.20 Clause #25 (by clausification #[24]): Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True % 4.02/4.20 Clause #31 (by betaEtaReduce #[20]): ∀ (a a_1 : Iota), Or (Eq (husband_THFTYPE_IiioI a a_1) True) (Or (Eq (wife_THFTYPE_IiioI a_1 a) False) (Eq False True)) % 4.02/4.20 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Or (Eq (husband_THFTYPE_IiioI a a_1) True) (Eq (wife_THFTYPE_IiioI a_1 a) False) % 4.02/4.20 Clause #33 (by superposition #[32, 25]): Or (Eq (husband_THFTYPE_IiioI lChris_THFTYPE_i lCorina_THFTYPE_i) True) (Eq False True) % 4.02/4.20 Clause #34 (by clausification #[33]): Eq (husband_THFTYPE_IiioI lChris_THFTYPE_i lCorina_THFTYPE_i) True % 4.02/4.20 Clause #35 (by superposition #[34, 21]): Eq True False % 4.02/4.20 Clause #37 (by clausification #[35]): False % 4.02/4.20 SZS output end Proof for theBenchmark.p 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