%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : PHI010+1 : TPTP v9.2.0. Released v7.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n022.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 3.86s 4.07s % Output : Proof 3.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : PHI010+1 : TPTP v9.2.0. Released v7.2.0. % 0.06/0.13 % Command : duper %s % 0.13/0.34 % Computer : n022.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 09:08:38 EDT 2025 % 0.13/0.34 % CPUTime : % 3.86/4.07 SZS status Theorem for theBenchmark.p % 3.86/4.07 SZS output start Proof for theBenchmark.p % 3.86/4.07 Clause #3 (by assumption #[]): Eq % 3.86/4.07 (∀ (F X W : Iota), % 3.86/4.07 And (And (property F) (object X)) (object W) → % 3.86/4.07 Iff (And (is_the X F) (Eq X W)) % 3.86/4.07 (Exists fun Y => % 3.86/4.07 And % 3.86/4.07 (And (And (object Y) (exemplifies_property F Y)) % 3.86/4.07 (∀ (Z : Iota), object Z → exemplifies_property F Z → Eq Z Y)) % 3.86/4.07 (Eq Y W))) % 3.86/4.07 True % 3.86/4.07 Clause #4 (by assumption #[]): Eq % 3.86/4.07 (Not % 3.86/4.07 (∀ (X F Y : Iota), % 3.86/4.07 And (And (object X) (property F)) (object Y) → And (is_the X F) (Eq X Y) → exemplifies_property F Y)) % 3.86/4.07 True % 3.86/4.07 Clause #18 (by clausification #[3]): ∀ (a : Iota), % 3.86/4.07 Eq % 3.86/4.07 (∀ (X W : Iota), % 3.86/4.07 And (And (property a) (object X)) (object W) → % 3.86/4.07 Iff (And (is_the X a) (Eq X W)) % 3.86/4.07 (Exists fun Y => % 3.86/4.07 And % 3.86/4.07 (And (And (object Y) (exemplifies_property a Y)) % 3.86/4.07 (∀ (Z : Iota), object Z → exemplifies_property a Z → Eq Z Y)) % 3.86/4.07 (Eq Y W))) % 3.86/4.07 True % 3.86/4.07 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), % 3.86/4.07 Eq % 3.86/4.07 (∀ (W : Iota), % 3.86/4.07 And (And (property a) (object a_1)) (object W) → % 3.86/4.07 Iff (And (is_the a_1 a) (Eq a_1 W)) % 3.86/4.07 (Exists fun Y => % 3.86/4.07 And % 3.86/4.07 (And (And (object Y) (exemplifies_property a Y)) % 3.86/4.07 (∀ (Z : Iota), object Z → exemplifies_property a Z → Eq Z Y)) % 3.86/4.07 (Eq Y W))) % 3.86/4.07 True % 3.86/4.07 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 : Iota), % 3.86/4.07 Eq % 3.86/4.07 (And (And (property a) (object a_1)) (object a_2) → % 3.86/4.07 Iff (And (is_the a_1 a) (Eq a_1 a_2)) % 3.86/4.07 (Exists fun Y => % 3.86/4.07 And % 3.86/4.07 (And (And (object Y) (exemplifies_property a Y)) % 3.86/4.07 (∀ (Z : Iota), object Z → exemplifies_property a Z → Eq Z Y)) % 3.86/4.07 (Eq Y a_2))) % 3.86/4.07 True % 3.86/4.07 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 : Iota), % 3.86/4.07 Or (Eq (And (And (property a) (object a_1)) (object a_2)) False) % 3.86/4.07 (Eq % 3.86/4.07 (Iff (And (is_the a_1 a) (Eq a_1 a_2)) % 3.86/4.07 (Exists fun Y => % 3.86/4.07 And % 3.86/4.07 (And (And (object Y) (exemplifies_property a Y)) % 3.86/4.07 (∀ (Z : Iota), object Z → exemplifies_property a Z → Eq Z Y)) % 3.86/4.07 (Eq Y a_2))) % 3.86/4.07 True) % 3.86/4.07 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 : Iota), % 3.86/4.07 Or % 3.86/4.07 (Eq % 3.86/4.07 (Iff (And (is_the a a_1) (Eq a a_2)) % 3.86/4.07 (Exists fun Y => % 3.86/4.07 And % 3.86/4.07 (And (And (object Y) (exemplifies_property a_1 Y)) % 3.86/4.07 (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z Y)) % 3.86/4.07 (Eq Y a_2))) % 3.86/4.07 True) % 3.86/4.07 (Or (Eq (And (property a_1) (object a)) False) (Eq (object a_2) False)) % 3.86/4.07 Clause #24 (by clausification #[22]): ∀ (a a_1 a_2 : Iota), % 3.86/4.07 Or (Eq (And (property a) (object a_1)) False) % 3.86/4.07 (Or (Eq (object a_2) False) % 3.86/4.07 (Or (Eq (And (is_the a_1 a) (Eq a_1 a_2)) False) % 3.86/4.07 (Eq % 3.86/4.07 (Exists fun Y => % 3.86/4.07 And % 3.86/4.07 (And (And (object Y) (exemplifies_property a Y)) % 3.86/4.07 (∀ (Z : Iota), object Z → exemplifies_property a Z → Eq Z Y)) % 3.86/4.07 (Eq Y a_2)) % 3.86/4.07 True))) % 3.86/4.07 Clause #40 (by clausification #[4]): Eq % 3.86/4.07 (∀ (X F Y : Iota), % 3.86/4.07 And (And (object X) (property F)) (object Y) → And (is_the X F) (Eq X Y) → exemplifies_property F Y) % 3.86/4.07 False % 3.86/4.07 Clause #41 (by clausification #[40]): ∀ (a : Iota), % 3.86/4.07 Eq % 3.86/4.07 (Not % 3.86/4.07 (∀ (F Y : Iota), % 3.86/4.07 And (And (object (skS.0 1 a)) (property F)) (object Y) → % 3.86/4.07 And (is_the (skS.0 1 a) F) (Eq (skS.0 1 a) Y) → exemplifies_property F Y)) % 3.86/4.07 True % 3.86/4.07 Clause #42 (by clausification #[41]): ∀ (a : Iota), % 3.86/4.07 Eq % 3.86/4.07 (∀ (F Y : Iota), % 3.86/4.07 And (And (object (skS.0 1 a)) (property F)) (object Y) → % 3.86/4.07 And (is_the (skS.0 1 a) F) (Eq (skS.0 1 a) Y) → exemplifies_property F Y) % 3.86/4.07 False % 3.86/4.07 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota), % 3.86/4.07 Eq % 3.86/4.07 (Not % 3.86/4.07 (∀ (Y : Iota), % 3.86/4.07 And (And (object (skS.0 1 a)) (property (skS.0 2 a a_1))) (object Y) → % 3.86/4.07 And (is_the (skS.0 1 a) (skS.0 2 a a_1)) (Eq (skS.0 1 a) Y) → exemplifies_property (skS.0 2 a a_1) Y)) % 3.86/4.07 True % 3.86/4.07 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota), % 3.86/4.10 Eq % 3.86/4.10 (∀ (Y : Iota), % 3.86/4.10 And (And (object (skS.0 1 a)) (property (skS.0 2 a a_1))) (object Y) → % 3.86/4.10 And (is_the (skS.0 1 a) (skS.0 2 a a_1)) (Eq (skS.0 1 a) Y) → exemplifies_property (skS.0 2 a a_1) Y) % 3.86/4.10 False % 3.86/4.10 Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 : Iota), % 3.86/4.10 Eq % 3.86/4.10 (Not % 3.86/4.10 (And (And (object (skS.0 1 a)) (property (skS.0 2 a a_1))) (object (skS.0 3 a a_1 a_2)) → % 3.86/4.10 And (is_the (skS.0 1 a) (skS.0 2 a a_1)) (Eq (skS.0 1 a) (skS.0 3 a a_1 a_2)) → % 3.86/4.10 exemplifies_property (skS.0 2 a a_1) (skS.0 3 a a_1 a_2))) % 3.86/4.10 True % 3.86/4.10 Clause #46 (by clausification #[45]): ∀ (a a_1 a_2 : Iota), % 3.86/4.10 Eq % 3.86/4.10 (And (And (object (skS.0 1 a)) (property (skS.0 2 a a_1))) (object (skS.0 3 a a_1 a_2)) → % 3.86/4.10 And (is_the (skS.0 1 a) (skS.0 2 a a_1)) (Eq (skS.0 1 a) (skS.0 3 a a_1 a_2)) → % 3.86/4.10 exemplifies_property (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)) % 3.86/4.10 False % 3.86/4.10 Clause #47 (by clausification #[46]): ∀ (a a_1 a_2 : Iota), Eq (And (And (object (skS.0 1 a)) (property (skS.0 2 a a_1))) (object (skS.0 3 a a_1 a_2))) True % 3.86/4.10 Clause #48 (by clausification #[46]): ∀ (a a_1 a_2 : Iota), % 3.86/4.10 Eq % 3.86/4.10 (And (is_the (skS.0 1 a) (skS.0 2 a a_1)) (Eq (skS.0 1 a) (skS.0 3 a a_1 a_2)) → % 3.86/4.10 exemplifies_property (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)) % 3.86/4.10 False % 3.86/4.10 Clause #50 (by clausification #[47]): ∀ (a a_1 : Iota), Eq (And (object (skS.0 1 a)) (property (skS.0 2 a a_1))) True % 3.86/4.10 Clause #54 (by clausification #[50]): ∀ (a a_1 : Iota), Eq (property (skS.0 2 a a_1)) True % 3.86/4.10 Clause #55 (by clausification #[50]): ∀ (a : Iota), Eq (object (skS.0 1 a)) True % 3.86/4.10 Clause #59 (by clausification #[24]): ∀ (a a_1 a_2 : Iota), % 3.86/4.10 Or (Eq (object a) False) % 3.86/4.10 (Or (Eq (And (is_the a_1 a_2) (Eq a_1 a)) False) % 3.86/4.10 (Or % 3.86/4.10 (Eq % 3.86/4.10 (Exists fun Y => % 3.86/4.10 And % 3.86/4.10 (And (And (object Y) (exemplifies_property a_2 Y)) % 3.86/4.10 (∀ (Z : Iota), object Z → exemplifies_property a_2 Z → Eq Z Y)) % 3.86/4.10 (Eq Y a)) % 3.86/4.10 True) % 3.86/4.10 (Or (Eq (property a_2) False) (Eq (object a_1) False)))) % 3.86/4.10 Clause #60 (by clausification #[59]): ∀ (a a_1 a_2 : Iota), % 3.86/4.10 Or (Eq (object a) False) % 3.86/4.10 (Or % 3.86/4.10 (Eq % 3.86/4.10 (Exists fun Y => % 3.86/4.10 And % 3.86/4.10 (And (And (object Y) (exemplifies_property a_1 Y)) % 3.86/4.10 (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z Y)) % 3.86/4.10 (Eq Y a)) % 3.86/4.10 True) % 3.86/4.10 (Or (Eq (property a_1) False) % 3.86/4.10 (Or (Eq (object a_2) False) (Or (Eq (is_the a_2 a_1) False) (Eq (Eq a_2 a) False))))) % 3.86/4.10 Clause #61 (by clausification #[60]): ∀ (a a_1 a_2 a_3 : Iota), % 3.86/4.10 Or (Eq (object a) False) % 3.86/4.10 (Or (Eq (property a_1) False) % 3.86/4.10 (Or (Eq (object a_2) False) % 3.86/4.10 (Or (Eq (is_the a_2 a_1) False) % 3.86/4.10 (Or (Eq (Eq a_2 a) False) % 3.86/4.10 (Eq % 3.86/4.10 (And % 3.86/4.10 (And (And (object (skS.0 4 a_1 a a_3)) (exemplifies_property a_1 (skS.0 4 a_1 a a_3))) % 3.86/4.10 (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z (skS.0 4 a_1 a a_3))) % 3.86/4.10 (Eq (skS.0 4 a_1 a a_3) a)) % 3.86/4.10 True))))) % 3.86/4.10 Clause #62 (by clausification #[61]): ∀ (a a_1 a_2 a_3 : Iota), % 3.86/4.10 Or (Eq (object a) False) % 3.86/4.10 (Or (Eq (property a_1) False) % 3.86/4.10 (Or (Eq (object a_2) False) % 3.86/4.10 (Or (Eq (is_the a_2 a_1) False) % 3.86/4.10 (Or % 3.86/4.10 (Eq % 3.86/4.10 (And % 3.86/4.10 (And (And (object (skS.0 4 a_1 a a_3)) (exemplifies_property a_1 (skS.0 4 a_1 a a_3))) % 3.86/4.10 (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z (skS.0 4 a_1 a a_3))) % 3.86/4.10 (Eq (skS.0 4 a_1 a a_3) a)) % 3.86/4.10 True) % 3.86/4.10 (Ne a_2 a))))) % 3.86/4.10 Clause #63 (by clausification #[62]): ∀ (a a_1 a_2 a_3 : Iota), % 3.86/4.10 Or (Eq (object a) False) % 3.86/4.10 (Or (Eq (property a_1) False) % 3.86/4.10 (Or (Eq (object a_2) False) % 3.86/4.10 (Or (Eq (is_the a_2 a_1) False) (Or (Ne a_2 a) (Eq (Eq (skS.0 4 a_1 a a_3) a) True))))) % 3.86/4.10 Clause #64 (by clausification #[62]): ∀ (a a_1 a_2 a_3 : Iota), % 3.86/4.10 Or (Eq (object a) False) % 3.86/4.10 (Or (Eq (property a_1) False) % 3.86/4.10 (Or (Eq (object a_2) False) % 3.86/4.10 (Or (Eq (is_the a_2 a_1) False) % 3.86/4.10 (Or (Ne a_2 a) % 3.95/4.12 (Eq % 3.95/4.12 (And (And (object (skS.0 4 a_1 a a_3)) (exemplifies_property a_1 (skS.0 4 a_1 a a_3))) % 3.95/4.12 (∀ (Z : Iota), object Z → exemplifies_property a_1 Z → Eq Z (skS.0 4 a_1 a a_3))) % 3.95/4.12 True))))) % 3.95/4.12 Clause #65 (by clausification #[63]): ∀ (a a_1 a_2 a_3 : Iota), % 3.95/4.12 Or (Eq (object a) False) % 3.95/4.12 (Or (Eq (property a_1) False) % 3.95/4.12 (Or (Eq (object a_2) False) (Or (Eq (is_the a_2 a_1) False) (Or (Ne a_2 a) (Eq (skS.0 4 a_1 a a_3) a))))) % 3.95/4.12 Clause #66 (by destructive equality resolution #[65]): ∀ (a a_1 a_2 : Iota), % 3.95/4.12 Or (Eq (object a) False) % 3.95/4.12 (Or (Eq (property a_1) False) (Or (Eq (object a) False) (Or (Eq (is_the a a_1) False) (Eq (skS.0 4 a_1 a a_2) a)))) % 3.95/4.12 Clause #67 (by eliminate duplicate literals #[66]): ∀ (a a_1 a_2 : Iota), % 3.95/4.12 Or (Eq (object a) False) (Or (Eq (property a_1) False) (Or (Eq (is_the a a_1) False) (Eq (skS.0 4 a_1 a a_2) a))) % 3.95/4.12 Clause #69 (by superposition #[67, 55]): ∀ (a a_1 a_2 : Iota), % 3.95/4.12 Or (Eq (property a) False) % 3.95/4.12 (Or (Eq (is_the (skS.0 1 a_1) a) False) (Or (Eq (skS.0 4 a (skS.0 1 a_1) a_2) (skS.0 1 a_1)) (Eq False True))) % 3.95/4.12 Clause #70 (by clausification #[48]): ∀ (a a_1 a_2 : Iota), Eq (And (is_the (skS.0 1 a) (skS.0 2 a a_1)) (Eq (skS.0 1 a) (skS.0 3 a a_1 a_2))) True % 3.95/4.12 Clause #71 (by clausification #[48]): ∀ (a a_1 a_2 : Iota), Eq (exemplifies_property (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)) False % 3.95/4.12 Clause #72 (by clausification #[70]): ∀ (a a_1 a_2 : Iota), Eq (Eq (skS.0 1 a) (skS.0 3 a a_1 a_2)) True % 3.95/4.12 Clause #73 (by clausification #[70]): ∀ (a a_1 : Iota), Eq (is_the (skS.0 1 a) (skS.0 2 a a_1)) True % 3.95/4.12 Clause #74 (by clausification #[72]): ∀ (a a_1 a_2 : Iota), Eq (skS.0 1 a) (skS.0 3 a a_1 a_2) % 3.95/4.12 Clause #77 (by forward demodulation #[71, 74]): ∀ (a a_1 : Iota), Eq (exemplifies_property (skS.0 2 a a_1) (skS.0 1 a)) False % 3.95/4.12 Clause #90 (by clausification #[69]): ∀ (a a_1 a_2 : Iota), % 3.95/4.12 Or (Eq (property a) False) (Or (Eq (is_the (skS.0 1 a_1) a) False) (Eq (skS.0 4 a (skS.0 1 a_1) a_2) (skS.0 1 a_1))) % 3.95/4.12 Clause #91 (by superposition #[90, 54]): ∀ (a a_1 a_2 a_3 : Iota), % 3.95/4.12 Or (Eq (is_the (skS.0 1 a) (skS.0 2 a_1 a_2)) False) % 3.95/4.12 (Or (Eq (skS.0 4 (skS.0 2 a_1 a_2) (skS.0 1 a) a_3) (skS.0 1 a)) (Eq False True)) % 3.95/4.12 Clause #124 (by clausification #[64]): ∀ (a a_1 a_2 a_3 : Iota), % 3.95/4.12 Or (Eq (object a) False) % 3.95/4.12 (Or (Eq (property a_1) False) % 3.95/4.12 (Or (Eq (object a_2) False) % 3.95/4.12 (Or (Eq (is_the a_2 a_1) False) % 3.95/4.12 (Or (Ne a_2 a) (Eq (And (object (skS.0 4 a_1 a a_3)) (exemplifies_property a_1 (skS.0 4 a_1 a a_3))) True))))) % 3.95/4.12 Clause #134 (by clausification #[124]): ∀ (a a_1 a_2 a_3 : Iota), % 3.95/4.12 Or (Eq (object a) False) % 3.95/4.12 (Or (Eq (property a_1) False) % 3.95/4.12 (Or (Eq (object a_2) False) % 3.95/4.12 (Or (Eq (is_the a_2 a_1) False) (Or (Ne a_2 a) (Eq (exemplifies_property a_1 (skS.0 4 a_1 a a_3)) True))))) % 3.95/4.12 Clause #136 (by destructive equality resolution #[134]): ∀ (a a_1 a_2 : Iota), % 3.95/4.12 Or (Eq (object a) False) % 3.95/4.12 (Or (Eq (property a_1) False) % 3.95/4.12 (Or (Eq (object a) False) % 3.95/4.12 (Or (Eq (is_the a a_1) False) (Eq (exemplifies_property a_1 (skS.0 4 a_1 a a_2)) True)))) % 3.95/4.12 Clause #137 (by eliminate duplicate literals #[136]): ∀ (a a_1 a_2 : Iota), % 3.95/4.12 Or (Eq (object a) False) % 3.95/4.12 (Or (Eq (property a_1) False) % 3.95/4.12 (Or (Eq (is_the a a_1) False) (Eq (exemplifies_property a_1 (skS.0 4 a_1 a a_2)) True))) % 3.95/4.12 Clause #138 (by superposition #[137, 55]): ∀ (a a_1 a_2 : Iota), % 3.95/4.12 Or (Eq (property a) False) % 3.95/4.12 (Or (Eq (is_the (skS.0 1 a_1) a) False) % 3.95/4.12 (Or (Eq (exemplifies_property a (skS.0 4 a (skS.0 1 a_1) a_2)) True) (Eq False True))) % 3.95/4.12 Clause #144 (by clausification #[138]): ∀ (a a_1 a_2 : Iota), % 3.95/4.12 Or (Eq (property a) False) % 3.95/4.12 (Or (Eq (is_the (skS.0 1 a_1) a) False) (Eq (exemplifies_property a (skS.0 4 a (skS.0 1 a_1) a_2)) True)) % 3.95/4.12 Clause #145 (by superposition #[144, 54]): ∀ (a a_1 a_2 a_3 : Iota), % 3.95/4.12 Or (Eq (is_the (skS.0 1 a) (skS.0 2 a_1 a_2)) False) % 3.95/4.12 (Or (Eq (exemplifies_property (skS.0 2 a_1 a_2) (skS.0 4 (skS.0 2 a_1 a_2) (skS.0 1 a) a_3)) True) (Eq False True)) % 3.95/4.12 Clause #166 (by clausification #[91]): ∀ (a a_1 a_2 a_3 : Iota), % 3.95/4.12 Or (Eq (is_the (skS.0 1 a) (skS.0 2 a_1 a_2)) False) (Eq (skS.0 4 (skS.0 2 a_1 a_2) (skS.0 1 a) a_3) (skS.0 1 a)) % 3.95/4.13 Clause #167 (by superposition #[166, 73]): ∀ (a a_1 a_2 : Iota), Or (Eq (skS.0 4 (skS.0 2 a a_1) (skS.0 1 a) a_2) (skS.0 1 a)) (Eq False True) % 3.95/4.13 Clause #171 (by clausification #[167]): ∀ (a a_1 a_2 : Iota), Eq (skS.0 4 (skS.0 2 a a_1) (skS.0 1 a) a_2) (skS.0 1 a) % 3.95/4.13 Clause #172 (by clausification #[145]): ∀ (a a_1 a_2 a_3 : Iota), % 3.95/4.13 Or (Eq (is_the (skS.0 1 a) (skS.0 2 a_1 a_2)) False) % 3.95/4.13 (Eq (exemplifies_property (skS.0 2 a_1 a_2) (skS.0 4 (skS.0 2 a_1 a_2) (skS.0 1 a) a_3)) True) % 3.95/4.13 Clause #173 (by superposition #[172, 73]): ∀ (a a_1 a_2 : Iota), % 3.95/4.13 Or (Eq (exemplifies_property (skS.0 2 a a_1) (skS.0 4 (skS.0 2 a a_1) (skS.0 1 a) a_2)) True) (Eq False True) % 3.95/4.13 Clause #174 (by clausification #[173]): ∀ (a a_1 a_2 : Iota), Eq (exemplifies_property (skS.0 2 a a_1) (skS.0 4 (skS.0 2 a a_1) (skS.0 1 a) a_2)) True % 3.95/4.13 Clause #175 (by forward demodulation #[174, 171]): ∀ (a a_1 : Iota), Eq (exemplifies_property (skS.0 2 a a_1) (skS.0 1 a)) True % 3.95/4.13 Clause #176 (by superposition #[175, 77]): Eq True False % 3.95/4.13 Clause #177 (by clausification #[176]): False % 3.95/4.13 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------