%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR142^2 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n004.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 49.33s 49.56s % Output : Proof 49.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : CSR142^2 : TPTP v9.2.0. Released v4.1.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n004.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 20:24:23 EDT 2025 % 0.13/0.35 % CPUTime : % 49.33/49.56 SZS status Theorem for theBenchmark.p % 49.33/49.56 SZS output start Proof for theBenchmark.p % 49.33/49.56 Clause #6 (by assumption #[]): Eq % 49.33/49.56 (∀ (REL2 REL1 : Iota → Iota → Prop), % 49.33/49.56 inverse_THFTYPE_IIiioIIiioIoI REL1 REL2 → ∀ (INST1 INST2 : Iota), Iff (REL1 INST1 INST2) (REL2 INST2 INST1)) % 49.33/49.56 True % 49.33/49.56 Clause #42 (by assumption #[]): Eq (inverse_THFTYPE_IIiioIIiioIoI husband_THFTYPE_IiioI wife_THFTYPE_IiioI) True % 49.33/49.56 Clause #51 (by assumption #[]): Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True % 49.33/49.56 Clause #228 (by assumption #[]): Eq (Not (Exists fun X => husband_THFTYPE_IiioI X lCorina_THFTYPE_i)) True % 49.33/49.56 Clause #253 (by clausification #[6]): ∀ (a : Iota → Iota → Prop), % 49.33/49.56 Eq % 49.33/49.56 (∀ (REL1 : Iota → Iota → Prop), % 49.33/49.56 inverse_THFTYPE_IIiioIIiioIoI REL1 a → ∀ (INST1 INST2 : Iota), Iff (REL1 INST1 INST2) (a INST2 INST1)) % 49.33/49.56 True % 49.33/49.56 Clause #254 (by clausification #[253]): ∀ (a a_1 : Iota → Iota → Prop), % 49.33/49.56 Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1 → ∀ (INST1 INST2 : Iota), Iff (a INST1 INST2) (a_1 INST2 INST1)) True % 49.33/49.56 Clause #255 (by clausification #[254]): ∀ (a a_1 : Iota → Iota → Prop), % 49.33/49.56 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) % 49.33/49.56 (Eq (∀ (INST1 INST2 : Iota), Iff (a INST1 INST2) (a_1 INST2 INST1)) True) % 49.33/49.56 Clause #256 (by clausification #[255]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 : Iota), % 49.33/49.56 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) (Eq (∀ (INST2 : Iota), Iff (a a_2 INST2) (a_1 INST2 a_2)) True) % 49.33/49.56 Clause #257 (by clausification #[256]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 a_3 : Iota), % 49.33/49.56 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) (Eq (Iff (a a_2 a_3) (a_1 a_3 a_2)) True) % 49.33/49.56 Clause #258 (by clausification #[257]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 a_3 : Iota), % 49.33/49.56 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)) % 49.33/49.56 Clause #294 (by superposition #[42, 258]): ∀ (a a_1 : Iota), % 49.33/49.56 Or (Eq ((fun x x_1 => husband_THFTYPE_IiioI x x_1) a a_1) True) % 49.33/49.56 (Or (Eq ((fun x x_1 => wife_THFTYPE_IiioI x x_1) a_1 a) False) (Eq False True)) % 49.33/49.56 Clause #2850 (by clausification #[228]): Eq (Exists fun X => husband_THFTYPE_IiioI X lCorina_THFTYPE_i) False % 49.33/49.56 Clause #2851 (by clausification #[2850]): ∀ (a : Iota), Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) False % 49.33/49.56 Clause #5301 (by betaEtaReduce #[294]): ∀ (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)) % 49.33/49.56 Clause #5302 (by clausification #[5301]): ∀ (a a_1 : Iota), Or (Eq (husband_THFTYPE_IiioI a a_1) True) (Eq (wife_THFTYPE_IiioI a_1 a) False) % 49.33/49.56 Clause #5303 (by superposition #[5302, 51]): Or (Eq (husband_THFTYPE_IiioI lChris_THFTYPE_i lCorina_THFTYPE_i) True) (Eq False True) % 49.33/49.56 Clause #5312 (by clausification #[5303]): Eq (husband_THFTYPE_IiioI lChris_THFTYPE_i lCorina_THFTYPE_i) True % 49.33/49.56 Clause #5313 (by superposition #[5312, 2851]): Eq True False % 49.33/49.56 Clause #5335 (by clausification #[5313]): False % 49.33/49.56 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------