%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR143^2 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n023.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 45.83s 46.06s % Output : Proof 45.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : CSR143^2 : TPTP v9.2.0. Released v4.1.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n023.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 20:21:38 EDT 2025 % 0.13/0.34 % CPUTime : % 45.83/46.06 SZS status Theorem for theBenchmark.p % 45.83/46.06 SZS output start Proof for theBenchmark.p % 45.83/46.06 Clause #5 (by assumption #[]): Eq % 45.83/46.06 (∀ (REL2 REL1 : Iota → Iota → Prop), % 45.83/46.06 inverse_THFTYPE_IIiioIIiioIoI REL1 REL2 → ∀ (INST1 INST2 : Iota), Iff (REL1 INST1 INST2) (REL2 INST2 INST1)) % 45.83/46.06 True % 45.83/46.06 Clause #47 (by assumption #[]): Eq (∀ (Z : Iota), holdsDuring_THFTYPE_IiooI Z True) True % 45.83/46.06 Clause #82 (by assumption #[]): Eq (inverse_THFTYPE_IIiioIIiioIoI husband_THFTYPE_IiioI wife_THFTYPE_IiioI) True % 45.83/46.06 Clause #93 (by assumption #[]): Eq % 45.83/46.06 (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) % 45.83/46.06 (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i)) % 45.83/46.06 True % 45.83/46.06 Clause #296 (by assumption #[]): Eq % 45.83/46.06 (Not % 45.83/46.06 (Exists fun X => % 45.83/46.06 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (husband_THFTYPE_IiioI X lCorina_THFTYPE_i))) % 45.83/46.06 True % 45.83/46.06 Clause #324 (by clausification #[5]): ∀ (a : Iota → Iota → Prop), % 45.83/46.06 Eq % 45.83/46.06 (∀ (REL1 : Iota → Iota → Prop), % 45.83/46.06 inverse_THFTYPE_IIiioIIiioIoI REL1 a → ∀ (INST1 INST2 : Iota), Iff (REL1 INST1 INST2) (a INST2 INST1)) % 45.83/46.07 True % 45.83/46.07 Clause #325 (by clausification #[324]): ∀ (a a_1 : Iota → Iota → Prop), % 45.83/46.07 Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1 → ∀ (INST1 INST2 : Iota), Iff (a INST1 INST2) (a_1 INST2 INST1)) True % 45.83/46.07 Clause #326 (by clausification #[325]): ∀ (a a_1 : Iota → Iota → Prop), % 45.83/46.07 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) % 45.83/46.07 (Eq (∀ (INST1 INST2 : Iota), Iff (a INST1 INST2) (a_1 INST2 INST1)) True) % 45.83/46.07 Clause #327 (by clausification #[326]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 : Iota), % 45.83/46.07 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) (Eq (∀ (INST2 : Iota), Iff (a a_2 INST2) (a_1 INST2 a_2)) True) % 45.83/46.07 Clause #328 (by clausification #[327]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 a_3 : Iota), % 45.83/46.07 Or (Eq (inverse_THFTYPE_IIiioIIiioIoI a a_1) False) (Eq (Iff (a a_2 a_3) (a_1 a_3 a_2)) True) % 45.83/46.07 Clause #329 (by clausification #[328]): ∀ (a a_1 : Iota → Iota → Prop) (a_2 a_3 : Iota), % 45.83/46.07 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)) % 45.83/46.07 Clause #388 (by superposition #[82, 329]): ∀ (a a_1 : Iota), % 45.83/46.07 Or (Eq ((fun x x_1 => husband_THFTYPE_IiioI x x_1) a a_1) True) % 45.83/46.07 (Or (Eq ((fun x x_1 => wife_THFTYPE_IiioI x x_1) a_1 a) False) (Eq False True)) % 45.83/46.07 Clause #2585 (by clausification #[47]): ∀ (a : Iota), Eq (holdsDuring_THFTYPE_IiooI a True) True % 45.83/46.07 Clause #5127 (by identity boolHoist #[93]): Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) True) % 45.83/46.07 (Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True) % 45.83/46.07 Clause #7095 (by clausification #[296]): Eq % 45.83/46.07 (Exists fun X => % 45.83/46.07 holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (husband_THFTYPE_IiioI X lCorina_THFTYPE_i)) % 45.83/46.07 False % 45.83/46.07 Clause #7096 (by clausification #[7095]): ∀ (a : Iota), % 45.83/46.07 Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) (husband_THFTYPE_IiioI a lCorina_THFTYPE_i)) % 45.83/46.07 False % 45.83/46.07 Clause #7097 (by identity loobHoist #[7096]): ∀ (a : Iota), % 45.83/46.07 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) True) False) % 45.83/46.07 (Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) False) % 45.83/46.07 Clause #7098 (by identity boolHoist #[7096]): ∀ (a : Iota), % 45.83/46.07 Or (Eq (holdsDuring_THFTYPE_IiooI (lYearFn_THFTYPE_IiiI n2009_THFTYPE_i) False) False) % 45.83/46.07 (Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) True) % 45.83/46.07 Clause #7099 (by superposition #[7097, 2585]): ∀ (a : Iota), Or (Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) False) (Eq False True) % 45.83/46.07 Clause #7101 (by clausification #[7099]): ∀ (a : Iota), Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) False % 45.83/46.07 Clause #7111 (by superposition #[7098, 5127]): ∀ (a : Iota), % 45.83/46.07 Or (Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) True) % 45.83/46.07 (Or (Eq False True) (Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True)) % 45.83/46.07 Clause #8187 (by clausification #[7111]): ∀ (a : Iota), % 45.83/46.07 Or (Eq (husband_THFTYPE_IiioI a lCorina_THFTYPE_i) True) % 45.83/46.07 (Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True) % 45.83/46.07 Clause #8188 (by superposition #[8187, 7101]): Or (Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True) (Eq True False) % 45.94/46.20 Clause #8232 (by clausification #[8188]): Eq (wife_THFTYPE_IiioI lCorina_THFTYPE_i lChris_THFTYPE_i) True % 45.94/46.20 Clause #8667 (by betaEtaReduce #[388]): ∀ (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)) % 45.94/46.20 Clause #8668 (by clausification #[8667]): ∀ (a a_1 : Iota), Or (Eq (husband_THFTYPE_IiioI a a_1) True) (Eq (wife_THFTYPE_IiioI a_1 a) False) % 45.94/46.20 Clause #8669 (by superposition #[8668, 8232]): Or (Eq (husband_THFTYPE_IiioI lChris_THFTYPE_i lCorina_THFTYPE_i) True) (Eq False True) % 45.94/46.20 Clause #8681 (by clausification #[8669]): Eq (husband_THFTYPE_IiioI lChris_THFTYPE_i lCorina_THFTYPE_i) True % 45.94/46.20 Clause #8682 (by superposition #[8681, 7101]): Eq True False % 45.94/46.20 Clause #8712 (by clausification #[8682]): False % 45.94/46.20 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------