%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : PHI012+1 : TPTP v9.2.0. Released v7.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n014.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 07:57:56 PM UTC 2025 % Result : Theorem 4.27s 4.48s % Output : Proof 4.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : PHI012+1 : TPTP v9.2.0. Released v7.2.0. % 0.07/0.13 % Command : duper %s % 0.13/0.34 % Computer : n014.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 : Fri Oct 3 09:06:38 EDT 2025 % 0.13/0.34 % CPUTime : % 4.27/4.48 SZS status Theorem for theBenchmark.p % 4.27/4.48 SZS output start Proof for theBenchmark.p % 4.27/4.48 Clause #0 (by assumption #[]): Eq % 4.27/4.48 (∀ (X : Iota), % 4.27/4.48 object X → % 4.27/4.48 Iff (exemplifies_property none_greater X) % 4.27/4.48 (And (exemplifies_property conceivable X) % 4.27/4.48 (Not % 4.27/4.48 (Exists fun Y => % 4.27/4.48 And (And (object Y) (exemplifies_relation greater_than Y X)) (exemplifies_property conceivable Y))))) % 4.27/4.48 True % 4.27/4.48 Clause #1 (by assumption #[]): Eq % 4.27/4.48 (∀ (X Y : Iota), % 4.27/4.48 And (object X) (object Y) → % 4.27/4.48 Or (Or (exemplifies_relation greater_than X Y) (exemplifies_relation greater_than Y X)) (Eq X Y)) % 4.27/4.48 True % 4.27/4.48 Clause #2 (by assumption #[]): Eq % 4.27/4.48 (Not % 4.27/4.48 ((Exists fun X => And (object X) (exemplifies_property none_greater X)) → % 4.27/4.48 Exists fun X => % 4.27/4.48 And (And (object X) (exemplifies_property none_greater X)) % 4.27/4.48 (∀ (Y : Iota), object Y → exemplifies_property none_greater Y → Eq Y X))) % 4.27/4.48 True % 4.27/4.48 Clause #3 (by clausification #[1]): ∀ (a : Iota), % 4.27/4.48 Eq % 4.27/4.48 (∀ (Y : Iota), % 4.27/4.48 And (object a) (object Y) → % 4.27/4.48 Or (Or (exemplifies_relation greater_than a Y) (exemplifies_relation greater_than Y a)) (Eq a Y)) % 4.27/4.48 True % 4.27/4.48 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota), % 4.27/4.48 Eq % 4.27/4.48 (And (object a) (object a_1) → % 4.27/4.48 Or (Or (exemplifies_relation greater_than a a_1) (exemplifies_relation greater_than a_1 a)) (Eq a a_1)) % 4.27/4.48 True % 4.27/4.48 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), % 4.27/4.48 Or (Eq (And (object a) (object a_1)) False) % 4.27/4.48 (Eq (Or (Or (exemplifies_relation greater_than a a_1) (exemplifies_relation greater_than a_1 a)) (Eq a a_1)) True) % 4.27/4.48 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), % 4.27/4.48 Or (Eq (Or (Or (exemplifies_relation greater_than a a_1) (exemplifies_relation greater_than a_1 a)) (Eq a a_1)) True) % 4.27/4.48 (Or (Eq (object a) False) (Eq (object a_1) False)) % 4.27/4.48 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), % 4.27/4.48 Or (Eq (object a) False) % 4.27/4.48 (Or (Eq (object a_1) False) % 4.27/4.48 (Or (Eq (Or (exemplifies_relation greater_than a a_1) (exemplifies_relation greater_than a_1 a)) True) % 4.27/4.48 (Eq (Eq a a_1) True))) % 4.27/4.48 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), % 4.27/4.48 Or (Eq (object a) False) % 4.27/4.48 (Or (Eq (object a_1) False) % 4.27/4.48 (Or (Eq (Eq a a_1) True) % 4.27/4.48 (Or (Eq (exemplifies_relation greater_than a a_1) True) (Eq (exemplifies_relation greater_than a_1 a) True)))) % 4.27/4.48 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), % 4.27/4.48 Or (Eq (object a) False) % 4.27/4.48 (Or (Eq (object a_1) False) % 4.27/4.48 (Or (Eq (exemplifies_relation greater_than a a_1) True) % 4.27/4.48 (Or (Eq (exemplifies_relation greater_than a_1 a) True) (Eq a a_1)))) % 4.27/4.48 Clause #10 (by clausification #[2]): Eq % 4.27/4.48 ((Exists fun X => And (object X) (exemplifies_property none_greater X)) → % 4.27/4.48 Exists fun X => % 4.27/4.48 And (And (object X) (exemplifies_property none_greater X)) % 4.27/4.48 (∀ (Y : Iota), object Y → exemplifies_property none_greater Y → Eq Y X)) % 4.27/4.48 False % 4.27/4.48 Clause #11 (by clausification #[10]): Eq (Exists fun X => And (object X) (exemplifies_property none_greater X)) True % 4.27/4.48 Clause #12 (by clausification #[10]): Eq % 4.27/4.48 (Exists fun X => % 4.27/4.48 And (And (object X) (exemplifies_property none_greater X)) % 4.27/4.48 (∀ (Y : Iota), object Y → exemplifies_property none_greater Y → Eq Y X)) % 4.27/4.48 False % 4.27/4.48 Clause #13 (by clausification #[11]): ∀ (a : Iota), Eq (And (object (skS.0 0 a)) (exemplifies_property none_greater (skS.0 0 a))) True % 4.27/4.48 Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (exemplifies_property none_greater (skS.0 0 a)) True % 4.27/4.48 Clause #15 (by clausification #[13]): ∀ (a : Iota), Eq (object (skS.0 0 a)) True % 4.27/4.48 Clause #16 (by superposition #[15, 9]): ∀ (a a_1 : Iota), % 4.27/4.48 Or (Eq True False) % 4.27/4.48 (Or (Eq (object a) False) % 4.27/4.48 (Or (Eq (exemplifies_relation greater_than (skS.0 0 a_1) a) True) % 4.27/4.48 (Or (Eq (exemplifies_relation greater_than a (skS.0 0 a_1)) True) (Eq (skS.0 0 a_1) a)))) % 4.27/4.48 Clause #17 (by clausification #[12]): ∀ (a : Iota), % 4.27/4.48 Eq % 4.27/4.48 (And (And (object a) (exemplifies_property none_greater a)) % 4.27/4.48 (∀ (Y : Iota), object Y → exemplifies_property none_greater Y → Eq Y a)) % 4.27/4.48 False % 4.27/4.48 Clause #18 (by clausification #[17]): ∀ (a : Iota), % 4.27/4.50 Or (Eq (And (object a) (exemplifies_property none_greater a)) False) % 4.27/4.50 (Eq (∀ (Y : Iota), object Y → exemplifies_property none_greater Y → Eq Y a) False) % 4.27/4.50 Clause #19 (by clausification #[18]): ∀ (a : Iota), % 4.27/4.50 Or (Eq (∀ (Y : Iota), object Y → exemplifies_property none_greater Y → Eq Y a) False) % 4.27/4.50 (Or (Eq (object a) False) (Eq (exemplifies_property none_greater a) False)) % 4.27/4.50 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), % 4.27/4.50 Or (Eq (object a) False) % 4.27/4.50 (Or (Eq (exemplifies_property none_greater a) False) % 4.27/4.50 (Eq (Not (object (skS.0 1 a a_1) → exemplifies_property none_greater (skS.0 1 a a_1) → Eq (skS.0 1 a a_1) a)) % 4.27/4.50 True)) % 4.27/4.50 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota), % 4.27/4.50 Or (Eq (object a) False) % 4.27/4.50 (Or (Eq (exemplifies_property none_greater a) False) % 4.27/4.50 (Eq (object (skS.0 1 a a_1) → exemplifies_property none_greater (skS.0 1 a a_1) → Eq (skS.0 1 a a_1) a) False)) % 4.27/4.50 Clause #22 (by clausification #[21]): ∀ (a a_1 : Iota), % 4.27/4.50 Or (Eq (object a) False) (Or (Eq (exemplifies_property none_greater a) False) (Eq (object (skS.0 1 a a_1)) True)) % 4.27/4.50 Clause #23 (by clausification #[21]): ∀ (a a_1 : Iota), % 4.27/4.50 Or (Eq (object a) False) % 4.27/4.50 (Or (Eq (exemplifies_property none_greater a) False) % 4.27/4.50 (Eq (exemplifies_property none_greater (skS.0 1 a a_1) → Eq (skS.0 1 a a_1) a) False)) % 4.27/4.50 Clause #24 (by superposition #[22, 15]): ∀ (a a_1 : Iota), % 4.27/4.50 Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False) % 4.27/4.50 (Or (Eq (object (skS.0 1 (skS.0 0 a) a_1)) True) (Eq False True)) % 4.27/4.50 Clause #25 (by clausification #[23]): ∀ (a a_1 : Iota), % 4.27/4.50 Or (Eq (object a) False) % 4.27/4.50 (Or (Eq (exemplifies_property none_greater a) False) (Eq (exemplifies_property none_greater (skS.0 1 a a_1)) True)) % 4.27/4.50 Clause #26 (by clausification #[23]): ∀ (a a_1 : Iota), % 4.27/4.50 Or (Eq (object a) False) (Or (Eq (exemplifies_property none_greater a) False) (Eq (Eq (skS.0 1 a a_1) a) False)) % 4.27/4.50 Clause #27 (by superposition #[25, 15]): ∀ (a a_1 : Iota), % 4.27/4.50 Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False) % 4.27/4.50 (Or (Eq (exemplifies_property none_greater (skS.0 1 (skS.0 0 a) a_1)) True) (Eq False True)) % 4.27/4.50 Clause #28 (by clausification #[0]): ∀ (a : Iota), % 4.27/4.50 Eq % 4.27/4.50 (object a → % 4.27/4.50 Iff (exemplifies_property none_greater a) % 4.27/4.50 (And (exemplifies_property conceivable a) % 4.27/4.50 (Not % 4.27/4.50 (Exists fun Y => % 4.27/4.50 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y))))) % 4.27/4.50 True % 4.27/4.50 Clause #29 (by clausification #[28]): ∀ (a : Iota), % 4.27/4.50 Or (Eq (object a) False) % 4.27/4.50 (Eq % 4.27/4.50 (Iff (exemplifies_property none_greater a) % 4.27/4.50 (And (exemplifies_property conceivable a) % 4.27/4.50 (Not % 4.27/4.50 (Exists fun Y => % 4.27/4.50 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y))))) % 4.27/4.50 True) % 4.27/4.50 Clause #31 (by clausification #[29]): ∀ (a : Iota), % 4.27/4.50 Or (Eq (object a) False) % 4.27/4.50 (Or (Eq (exemplifies_property none_greater a) False) % 4.27/4.50 (Eq % 4.27/4.50 (And (exemplifies_property conceivable a) % 4.27/4.50 (Not % 4.27/4.50 (Exists fun Y => % 4.27/4.50 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y)))) % 4.27/4.50 True)) % 4.27/4.50 Clause #38 (by clausification #[26]): ∀ (a a_1 : Iota), Or (Eq (object a) False) (Or (Eq (exemplifies_property none_greater a) False) (Ne (skS.0 1 a a_1) a)) % 4.27/4.50 Clause #39 (by superposition #[38, 15]): ∀ (a a_1 : Iota), % 4.27/4.50 Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False) % 4.27/4.50 (Or (Ne (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a)) (Eq False True)) % 4.27/4.50 Clause #40 (by clausification #[24]): ∀ (a a_1 : Iota), % 4.27/4.50 Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False) (Eq (object (skS.0 1 (skS.0 0 a) a_1)) True) % 4.27/4.50 Clause #41 (by forward demodulation #[40, 14]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (object (skS.0 1 (skS.0 0 a) a_1)) True) % 4.27/4.50 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota), Eq (object (skS.0 1 (skS.0 0 a) a_1)) True % 4.27/4.50 Clause #48 (by clausification #[27]): ∀ (a a_1 : Iota), % 4.27/4.50 Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False) % 4.36/4.52 (Eq (exemplifies_property none_greater (skS.0 1 (skS.0 0 a) a_1)) True) % 4.36/4.52 Clause #49 (by forward demodulation #[48, 14]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (exemplifies_property none_greater (skS.0 1 (skS.0 0 a) a_1)) True) % 4.36/4.52 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota), Eq (exemplifies_property none_greater (skS.0 1 (skS.0 0 a) a_1)) True % 4.36/4.52 Clause #51 (by clausification #[31]): ∀ (a : Iota), % 4.36/4.52 Or (Eq (object a) False) % 4.36/4.52 (Or (Eq (exemplifies_property none_greater a) False) % 4.36/4.52 (Eq % 4.36/4.52 (Not % 4.36/4.52 (Exists fun Y => % 4.36/4.52 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y))) % 4.36/4.52 True)) % 4.36/4.52 Clause #52 (by clausification #[31]): ∀ (a : Iota), % 4.36/4.52 Or (Eq (object a) False) % 4.36/4.52 (Or (Eq (exemplifies_property none_greater a) False) (Eq (exemplifies_property conceivable a) True)) % 4.36/4.52 Clause #53 (by clausification #[51]): ∀ (a : Iota), % 4.36/4.52 Or (Eq (object a) False) % 4.36/4.52 (Or (Eq (exemplifies_property none_greater a) False) % 4.36/4.52 (Eq % 4.36/4.52 (Exists fun Y => % 4.36/4.52 And (And (object Y) (exemplifies_relation greater_than Y a)) (exemplifies_property conceivable Y)) % 4.36/4.52 False)) % 4.36/4.52 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota), % 4.36/4.52 Or (Eq (object a) False) % 4.36/4.52 (Or (Eq (exemplifies_property none_greater a) False) % 4.36/4.52 (Eq (And (And (object a_1) (exemplifies_relation greater_than a_1 a)) (exemplifies_property conceivable a_1)) % 4.36/4.52 False)) % 4.36/4.52 Clause #55 (by clausification #[54]): ∀ (a a_1 : Iota), % 4.36/4.52 Or (Eq (object a) False) % 4.36/4.52 (Or (Eq (exemplifies_property none_greater a) False) % 4.36/4.52 (Or (Eq (And (object a_1) (exemplifies_relation greater_than a_1 a)) False) % 4.36/4.52 (Eq (exemplifies_property conceivable a_1) False))) % 4.36/4.52 Clause #56 (by clausification #[55]): ∀ (a a_1 : Iota), % 4.36/4.52 Or (Eq (object a) False) % 4.36/4.52 (Or (Eq (exemplifies_property none_greater a) False) % 4.36/4.52 (Or (Eq (exemplifies_property conceivable a_1) False) % 4.36/4.52 (Or (Eq (object a_1) False) (Eq (exemplifies_relation greater_than a_1 a) False)))) % 4.36/4.52 Clause #57 (by superposition #[56, 15]): ∀ (a a_1 : Iota), % 4.36/4.52 Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False) % 4.36/4.52 (Or (Eq (exemplifies_property conceivable a_1) False) % 4.36/4.52 (Or (Eq (object a_1) False) (Or (Eq (exemplifies_relation greater_than a_1 (skS.0 0 a)) False) (Eq False True)))) % 4.36/4.52 Clause #58 (by superposition #[56, 42]): ∀ (a a_1 a_2 : Iota), % 4.36/4.52 Or (Eq (exemplifies_property none_greater (skS.0 1 (skS.0 0 a) a_1)) False) % 4.36/4.52 (Or (Eq (exemplifies_property conceivable a_2) False) % 4.36/4.52 (Or (Eq (object a_2) False) % 4.36/4.52 (Or (Eq (exemplifies_relation greater_than a_2 (skS.0 1 (skS.0 0 a) a_1)) False) (Eq False True)))) % 4.36/4.52 Clause #59 (by superposition #[52, 15]): ∀ (a : Iota), % 4.36/4.52 Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False) % 4.36/4.52 (Or (Eq (exemplifies_property conceivable (skS.0 0 a)) True) (Eq False True)) % 4.36/4.52 Clause #60 (by superposition #[52, 42]): ∀ (a a_1 : Iota), % 4.36/4.52 Or (Eq (exemplifies_property none_greater (skS.0 1 (skS.0 0 a) a_1)) False) % 4.36/4.52 (Or (Eq (exemplifies_property conceivable (skS.0 1 (skS.0 0 a) a_1)) True) (Eq False True)) % 4.36/4.52 Clause #61 (by clausification #[16]): ∀ (a a_1 : Iota), % 4.36/4.52 Or (Eq (object a) False) % 4.36/4.52 (Or (Eq (exemplifies_relation greater_than (skS.0 0 a_1) a) True) % 4.36/4.52 (Or (Eq (exemplifies_relation greater_than a (skS.0 0 a_1)) True) (Eq (skS.0 0 a_1) a))) % 4.36/4.52 Clause #63 (by superposition #[61, 42]): ∀ (a a_1 a_2 : Iota), % 4.36/4.52 Or (Eq (exemplifies_relation greater_than (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) True) % 4.36/4.52 (Or (Eq (exemplifies_relation greater_than (skS.0 1 (skS.0 0 a_1) a_2) (skS.0 0 a)) True) % 4.36/4.52 (Or (Eq (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) (Eq False True))) % 4.36/4.52 Clause #64 (by clausification #[59]): ∀ (a : Iota), % 4.36/4.52 Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False) (Eq (exemplifies_property conceivable (skS.0 0 a)) True) % 4.36/4.52 Clause #65 (by forward demodulation #[64, 14]): ∀ (a : Iota), Or (Eq True False) (Eq (exemplifies_property conceivable (skS.0 0 a)) True) % 4.36/4.52 Clause #66 (by clausification #[65]): ∀ (a : Iota), Eq (exemplifies_property conceivable (skS.0 0 a)) True % 4.36/4.54 Clause #67 (by clausification #[57]): ∀ (a a_1 : Iota), % 4.36/4.54 Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False) % 4.36/4.54 (Or (Eq (exemplifies_property conceivable a_1) False) % 4.36/4.54 (Or (Eq (object a_1) False) (Eq (exemplifies_relation greater_than a_1 (skS.0 0 a)) False))) % 4.36/4.54 Clause #68 (by forward demodulation #[67, 14]): ∀ (a a_1 : Iota), % 4.36/4.54 Or (Eq True False) % 4.36/4.54 (Or (Eq (exemplifies_property conceivable a) False) % 4.36/4.54 (Or (Eq (object a) False) (Eq (exemplifies_relation greater_than a (skS.0 0 a_1)) False))) % 4.36/4.54 Clause #69 (by clausification #[68]): ∀ (a a_1 : Iota), % 4.36/4.54 Or (Eq (exemplifies_property conceivable a) False) % 4.36/4.54 (Or (Eq (object a) False) (Eq (exemplifies_relation greater_than a (skS.0 0 a_1)) False)) % 4.36/4.54 Clause #74 (by clausification #[39]): ∀ (a a_1 : Iota), % 4.36/4.54 Or (Eq (exemplifies_property none_greater (skS.0 0 a)) False) (Ne (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a)) % 4.36/4.54 Clause #75 (by forward demodulation #[74, 14]): ∀ (a a_1 : Iota), Or (Eq True False) (Ne (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a)) % 4.36/4.54 Clause #76 (by clausification #[75]): ∀ (a a_1 : Iota), Ne (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a) % 4.36/4.54 Clause #85 (by clausification #[60]): ∀ (a a_1 : Iota), % 4.36/4.54 Or (Eq (exemplifies_property none_greater (skS.0 1 (skS.0 0 a) a_1)) False) % 4.36/4.54 (Eq (exemplifies_property conceivable (skS.0 1 (skS.0 0 a) a_1)) True) % 4.36/4.54 Clause #86 (by forward demodulation #[85, 50]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (exemplifies_property conceivable (skS.0 1 (skS.0 0 a) a_1)) True) % 4.36/4.54 Clause #87 (by clausification #[86]): ∀ (a a_1 : Iota), Eq (exemplifies_property conceivable (skS.0 1 (skS.0 0 a) a_1)) True % 4.36/4.54 Clause #88 (by superposition #[87, 69]): ∀ (a a_1 a_2 : Iota), % 4.36/4.54 Or (Eq True False) % 4.36/4.54 (Or (Eq (object (skS.0 1 (skS.0 0 a) a_1)) False) % 4.36/4.54 (Eq (exemplifies_relation greater_than (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a_2)) False)) % 4.36/4.54 Clause #91 (by clausification #[88]): ∀ (a a_1 a_2 : Iota), % 4.36/4.54 Or (Eq (object (skS.0 1 (skS.0 0 a) a_1)) False) % 4.36/4.54 (Eq (exemplifies_relation greater_than (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a_2)) False) % 4.36/4.54 Clause #92 (by forward demodulation #[91, 42]): ∀ (a a_1 a_2 : Iota), % 4.36/4.54 Or (Eq True False) (Eq (exemplifies_relation greater_than (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a_2)) False) % 4.36/4.54 Clause #93 (by clausification #[92]): ∀ (a a_1 a_2 : Iota), Eq (exemplifies_relation greater_than (skS.0 1 (skS.0 0 a) a_1) (skS.0 0 a_2)) False % 4.36/4.54 Clause #114 (by clausification #[58]): ∀ (a a_1 a_2 : Iota), % 4.36/4.54 Or (Eq (exemplifies_property none_greater (skS.0 1 (skS.0 0 a) a_1)) False) % 4.36/4.54 (Or (Eq (exemplifies_property conceivable a_2) False) % 4.36/4.54 (Or (Eq (object a_2) False) (Eq (exemplifies_relation greater_than a_2 (skS.0 1 (skS.0 0 a) a_1)) False))) % 4.36/4.54 Clause #115 (by forward demodulation #[114, 50]): ∀ (a a_1 a_2 : Iota), % 4.36/4.54 Or (Eq True False) % 4.36/4.54 (Or (Eq (exemplifies_property conceivable a) False) % 4.36/4.54 (Or (Eq (object a) False) (Eq (exemplifies_relation greater_than a (skS.0 1 (skS.0 0 a_1) a_2)) False))) % 4.36/4.54 Clause #116 (by clausification #[115]): ∀ (a a_1 a_2 : Iota), % 4.36/4.54 Or (Eq (exemplifies_property conceivable a) False) % 4.36/4.54 (Or (Eq (object a) False) (Eq (exemplifies_relation greater_than a (skS.0 1 (skS.0 0 a_1) a_2)) False)) % 4.36/4.54 Clause #117 (by superposition #[116, 66]): ∀ (a a_1 a_2 : Iota), % 4.36/4.54 Or (Eq (object (skS.0 0 a)) False) % 4.36/4.54 (Or (Eq (exemplifies_relation greater_than (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) False) (Eq False True)) % 4.36/4.54 Clause #119 (by clausification #[117]): ∀ (a a_1 a_2 : Iota), % 4.36/4.54 Or (Eq (object (skS.0 0 a)) False) % 4.36/4.54 (Eq (exemplifies_relation greater_than (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) False) % 4.36/4.54 Clause #120 (by forward demodulation #[119, 15]): ∀ (a a_1 a_2 : Iota), % 4.36/4.54 Or (Eq True False) (Eq (exemplifies_relation greater_than (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) False) % 4.36/4.54 Clause #121 (by clausification #[120]): ∀ (a a_1 a_2 : Iota), Eq (exemplifies_relation greater_than (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) False % 4.36/4.54 Clause #169 (by clausification #[63]): ∀ (a a_1 a_2 : Iota), % 4.36/4.54 Or (Eq (exemplifies_relation greater_than (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) True) % 4.36/4.54 (Or (Eq (exemplifies_relation greater_than (skS.0 1 (skS.0 0 a_1) a_2) (skS.0 0 a)) True) % 4.36/4.54 (Eq (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2))) % 4.36/4.54 Clause #171 (by superposition #[169, 93]): ∀ (a a_1 a_2 : Iota), % 4.36/4.54 Or (Eq (exemplifies_relation greater_than (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) True) % 4.36/4.54 (Or (Eq (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) (Eq True False)) % 4.36/4.54 Clause #172 (by clausification #[171]): ∀ (a a_1 a_2 : Iota), % 4.36/4.54 Or (Eq (exemplifies_relation greater_than (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) True) % 4.36/4.54 (Eq (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) % 4.36/4.54 Clause #173 (by superposition #[172, 121]): ∀ (a a_1 a_2 : Iota), Or (Eq (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2)) (Eq True False) % 4.36/4.54 Clause #174 (by clausification #[173]): ∀ (a a_1 a_2 : Iota), Eq (skS.0 0 a) (skS.0 1 (skS.0 0 a_1) a_2) % 4.36/4.54 Clause #175 (by backward contextual literal cutting #[174, 76]): False % 4.36/4.54 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------