%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR145^1 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n016.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 4.41s 4.61s % Output : Proof 4.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : CSR145^1 : TPTP v9.2.0. Released v4.1.0. % 0.08/0.15 % Command : duper %s % 0.15/0.37 % Computer : n016.cluster.edu % 0.15/0.37 % Model : x86_64 x86_64 % 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.37 % Memory : 8042.1875MB % 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.37 % CPULimit : 300 % 0.15/0.37 % WCLimit : 300 % 0.15/0.37 % DateTime : Thu Oct 2 19:25:08 EDT 2025 % 0.15/0.37 % CPUTime : % 4.41/4.61 SZS status Theorem for theBenchmark.p % 4.41/4.61 SZS output start Proof for theBenchmark.p % 4.41/4.61 Clause #0 (by assumption #[]): Eq (inverse_THFTYPE_IIiioIIiioIoI husband_THFTYPE_IiioI wife_THFTYPE_IiioI) True % 4.41/4.61 Clause #1 (by assumption #[]): Eq % 4.41/4.61 (∀ (REL2 REL1 : Iota → Iota → Prop), % 4.41/4.61 inverse_THFTYPE_IIiioIIiioIoI REL1 REL2 → ∀ (INST1 INST2 : Iota), Iff (REL1 INST1 INST2) (REL2 INST2 INST1)) % 4.41/4.61 True % 4.41/4.61 Clause #2 (by assumption #[]): Eq (Exists fun X => Not (husband_THFTYPE_IiioI lChris_THFTYPE_i X)) True % 4.41/4.61 Clause #3 (by assumption #[]): Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True % 4.41/4.61 Clause #4 (by assumption #[]): Eq (Not (Exists fun R => And (R lChris_THFTYPE_i lCorina_THFTYPE_i) (Not (Eq R fun X Y => True)))) True % 4.41/4.61 Clause #5 (by clausification #[2]): ∀ (a : Iota), Eq (Not (husband_THFTYPE_IiioI lChris_THFTYPE_i (skS.0 0 a))) True % 4.41/4.61 Clause #6 (by clausification #[5]): ∀ (a : Iota), Eq (husband_THFTYPE_IiioI lChris_THFTYPE_i (skS.0 0 a)) False % 4.41/4.61 Clause #7 (by clausification #[1]): ∀ (a : Iota → Iota → Prop), % 4.41/4.61 Eq % 4.41/4.61 (∀ (REL1 : Iota → Iota → Prop), % 4.41/4.61 inverse_THFTYPE_IIiioIIiioIoI REL1 a → ∀ (INST1 INST2 : Iota), Iff (REL1 INST1 INST2) (a INST2 INST1)) % 4.41/4.61 True % 4.41/4.61 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota → Iota → Prop), % 4.41/4.61 Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1 → ∀ (INST1 INST2 : Iota), Iff (a INST1 INST2) (a_1 INST2 INST1)) True % 4.41/4.61 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota → Iota → Prop), % 4.41/4.61 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) % 4.41/4.61 (Eq (∀ (INST1 INST2 : Iota), Iff (a INST1 INST2) (a_1 INST2 INST1)) True) % 4.41/4.61 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 : Iota), % 4.41/4.61 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) (Eq (∀ (INST2 : Iota), Iff (a a_2 INST2) (a_1 INST2 a_2)) True) % 4.41/4.61 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 a_3 : Iota), % 4.41/4.61 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) (Eq (Iff (a a_2 a_3) (a_1 a_3 a_2)) True) % 4.41/4.61 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 a_3 : Iota), % 4.41/4.61 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)) % 4.41/4.61 Clause #14 (by superposition #[12, 0]): ∀ (a a_1 : Iota), % 4.41/4.61 Or (Eq ((fun x x_1 => husband_THFTYPE_IiioI x x_1) a a_1) True) % 4.41/4.61 (Or (Eq ((fun x x_1 => wife_THFTYPE_IiioI x x_1) a_1 a) False) (Eq False True)) % 4.41/4.61 Clause #16 (by clausification #[4]): Eq (Exists fun R => And (R lChris_THFTYPE_i lCorina_THFTYPE_i) (Not (Eq R fun X Y => True))) False % 4.41/4.61 Clause #17 (by clausification #[16]): ∀ (a : Iota → Iota → Prop), Eq (And (a lChris_THFTYPE_i lCorina_THFTYPE_i) (Not (Eq a fun X Y => True))) False % 4.41/4.61 Clause #18 (by clausification #[17]): ∀ (a : Iota → Iota → Prop), Or (Eq (a lChris_THFTYPE_i lCorina_THFTYPE_i) False) (Eq (Not (Eq a fun X Y => True)) False) % 4.41/4.61 Clause #19 (by clausification #[18]): ∀ (a : Iota → Iota → Prop), Or (Eq (a lChris_THFTYPE_i lCorina_THFTYPE_i) False) (Eq (Eq a fun X Y => True) True) % 4.41/4.61 Clause #20 (by clausification #[19]): ∀ (a : Iota → Iota → Prop), Or (Eq (a lChris_THFTYPE_i lCorina_THFTYPE_i) False) (Eq a fun X Y => True) % 4.41/4.61 Clause #33 (by superposition #[20, 3]): Or (Eq (fun x x => wife_THFTYPE_IiioI x lChris_THFTYPE_i) fun X Y => True) (Eq False True) % 4.41/4.61 Clause #34 (by clausification #[33]): Eq (fun x x => wife_THFTYPE_IiioI x lChris_THFTYPE_i) fun X Y => True % 4.41/4.61 Clause #35 (by argument congruence #[34]): ∀ (a : Iota), Eq ((fun x x => wife_THFTYPE_IiioI x lChris_THFTYPE_i) a) ((fun X Y => True) a) % 4.41/4.61 Clause #39 (by betaEtaReduce #[35]): Eq (fun x => wife_THFTYPE_IiioI x lChris_THFTYPE_i) fun Y => True % 4.41/4.61 Clause #40 (by argument congruence #[39]): ∀ (a : Iota), Eq ((fun x => wife_THFTYPE_IiioI x lChris_THFTYPE_i) a) ((fun Y => True) a) % 4.41/4.61 Clause #43 (by betaEtaReduce #[40]): ∀ (a : Iota), Eq (wife_THFTYPE_IiioI a lChris_THFTYPE_i) True % 4.41/4.61 Clause #57 (by betaEtaReduce #[14]): ∀ (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)) % 4.41/4.61 Clause #58 (by clausification #[57]): ∀ (a a_1 : Iota), Or (Eq (husband_THFTYPE_IiioI a a_1) True) (Eq (wife_THFTYPE_IiioI a_1 a) False) % 4.41/4.61 Clause #59 (by superposition #[58, 43]): ∀ (a : Iota), Or (Eq (husband_THFTYPE_IiioI lChris_THFTYPE_i a) True) (Eq False True) % 4.41/4.61 Clause #67 (by clausification #[59]): ∀ (a : Iota), Eq (husband_THFTYPE_IiioI lChris_THFTYPE_i a) True % 4.41/4.61 Clause #68 (by superposition #[67, 6]): Eq True False % 4.41/4.61 Clause #74 (by clausification #[68]): False % 4.41/4.61 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------