%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR142^1 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n010.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 3.83s 4.00s % Output : Proof 3.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.15 % Problem : CSR142^1 : TPTP v9.2.0. Released v4.1.0. % 0.04/0.16 % Command : duper %s % 0.16/0.38 % Computer : n010.cluster.edu % 0.16/0.38 % Model : x86_64 x86_64 % 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.38 % Memory : 8042.1875MB % 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.38 % CPULimit : 300 % 0.16/0.38 % WCLimit : 300 % 0.16/0.38 % DateTime : Thu Oct 2 20:27:08 EDT 2025 % 0.16/0.39 % CPUTime : % 3.83/4.00 SZS status Theorem for theBenchmark.p % 3.83/4.00 SZS output start Proof for theBenchmark.p % 3.83/4.00 Clause #0 (by assumption #[]): Eq (inverse_THFTYPE_IIiioIIiioIoI husband_THFTYPE_IiioI wife_THFTYPE_IiioI) True % 3.83/4.00 Clause #1 (by assumption #[]): Eq % 3.83/4.00 (∀ (REL2 REL1 : Iota → Iota → Prop), % 3.83/4.00 inverse_THFTYPE_IIiioIIiioIoI REL1 REL2 → ∀ (INST1 INST2 : Iota), Iff (REL1 INST1 INST2) (REL2 INST2 INST1)) % 3.83/4.00 True % 3.83/4.00 Clause #2 (by assumption #[]): Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True % 3.83/4.00 Clause #3 (by assumption #[]): Eq (Not (Exists fun X => husband_THFTYPE_IiioI X lCorina_THFTYPE_i)) True % 3.83/4.00 Clause #4 (by clausification #[3]): Eq (Exists fun X => husband_THFTYPE_IiioI X lCorina_THFTYPE_i) False % 3.83/4.00 Clause #5 (by clausification #[4]): ∀ (a : Iota), Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) False % 3.83/4.00 Clause #6 (by clausification #[1]): ∀ (a : Iota → Iota → Prop), % 3.83/4.00 Eq % 3.83/4.00 (∀ (REL1 : Iota → Iota → Prop), % 3.83/4.00 inverse_THFTYPE_IIiioIIiioIoI REL1 a → ∀ (INST1 INST2 : Iota), Iff (REL1 INST1 INST2) (a INST2 INST1)) % 3.83/4.00 True % 3.83/4.00 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota → Iota → Prop), % 3.83/4.00 Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1 → ∀ (INST1 INST2 : Iota), Iff (a INST1 INST2) (a_1 INST2 INST1)) True % 3.83/4.00 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota → Iota → Prop), % 3.83/4.00 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) % 3.83/4.00 (Eq (∀ (INST1 INST2 : Iota), Iff (a INST1 INST2) (a_1 INST2 INST1)) True) % 3.83/4.00 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 : Iota), % 3.83/4.00 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) (Eq (∀ (INST2 : Iota), Iff (a a_2 INST2) (a_1 INST2 a_2)) True) % 3.83/4.00 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 a_3 : Iota), % 3.83/4.00 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) (Eq (Iff (a a_2 a_3) (a_1 a_3 a_2)) True) % 3.83/4.00 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 a_3 : Iota), % 3.83/4.00 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)) % 3.83/4.00 Clause #13 (by superposition #[11, 0]): ∀ (a a_1 : Iota), % 3.83/4.00 Or (Eq ((fun x x_1 => husband_THFTYPE_IiioI x x_1) a a_1) True) % 3.83/4.00 (Or (Eq ((fun x x_1 => wife_THFTYPE_IiioI x x_1) a_1 a) False) (Eq False True)) % 3.83/4.00 Clause #15 (by betaEtaReduce #[13]): ∀ (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)) % 3.83/4.00 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Or (Eq (husband_THFTYPE_IiioI a a_1) True) (Eq (wife_THFTYPE_IiioI a_1 a) False) % 3.83/4.00 Clause #17 (by superposition #[16, 2]): Or (Eq (husband_THFTYPE_IiioI lChris_THFTYPE_i lCorina_THFTYPE_i) True) (Eq False True) % 3.83/4.00 Clause #18 (by clausification #[17]): Eq (husband_THFTYPE_IiioI lChris_THFTYPE_i lCorina_THFTYPE_i) True % 3.83/4.00 Clause #19 (by superposition #[18, 5]): Eq True False % 3.83/4.00 Clause #20 (by clausification #[19]): False % 3.83/4.00 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------