%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS169+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n013.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 07:52:44 PM UTC 2025 % Result : Theorem 4.02s 4.24s % Output : Proof 4.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : KRS169+1 : TPTP v9.2.0. Released v3.1.0. % 0.04/0.13 % Command : duper %s % 0.13/0.34 % Computer : n013.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 10:22:38 EDT 2025 % 0.13/0.34 % CPUTime : % 4.02/4.24 SZS status Theorem for theBenchmark.p % 4.02/4.24 SZS output start Proof for theBenchmark.p % 4.02/4.24 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True % 4.02/4.24 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True % 4.02/4.24 Clause #3 (by assumption #[]): Eq (rhasLeader iX iY) True % 4.02/4.24 Clause #5 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (rhasLeader X Y) (rhasHead X Y)) True % 4.02/4.24 Clause #6 (by assumption #[]): Eq % 4.02/4.24 (Not % 4.02/4.24 (And % 4.02/4.24 (And % 4.02/4.24 (And % 4.02/4.24 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.02/4.24 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.02/4.24 (cowlThing iX)) % 4.02/4.24 (rhasHead iX iY)) % 4.02/4.24 (cowlThing iY))) % 4.02/4.24 True % 4.02/4.24 Clause #7 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True % 4.02/4.24 Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False) % 4.02/4.24 Clause #9 (by clausification #[7]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True) % 4.02/4.24 Clause #10 (by clausification #[8]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True) % 4.02/4.24 Clause #11 (by clausification #[9]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False) % 4.02/4.24 Clause #13 (by clausification #[0]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True % 4.02/4.24 Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True % 4.02/4.24 Clause #15 (by clausification #[13]): ∀ (a : Iota), Eq (cowlThing a) True % 4.02/4.24 Clause #16 (by clausification #[14]): ∀ (a : Iota), Eq (cowlNothing a) False % 4.02/4.24 Clause #18 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (rhasLeader a Y) (rhasHead a Y)) True % 4.02/4.24 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Eq (Iff (rhasLeader a a_1) (rhasHead a a_1)) True % 4.02/4.24 Clause #21 (by clausification #[19]): ∀ (a a_1 : Iota), Or (Eq (rhasLeader a a_1) False) (Eq (rhasHead a a_1) True) % 4.02/4.24 Clause #22 (by superposition #[21, 3]): Or (Eq (rhasHead iX iY) True) (Eq False True) % 4.02/4.24 Clause #23 (by clausification #[22]): Eq (rhasHead iX iY) True % 4.02/4.24 Clause #25 (by clausification #[6]): Eq % 4.02/4.24 (And % 4.02/4.24 (And % 4.02/4.24 (And % 4.02/4.24 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.02/4.24 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.02/4.24 (cowlThing iX)) % 4.02/4.24 (rhasHead iX iY)) % 4.02/4.24 (cowlThing iY)) % 4.02/4.24 False % 4.02/4.24 Clause #26 (by clausification #[25]): Or % 4.02/4.24 (Eq % 4.02/4.24 (And % 4.02/4.24 (And % 4.02/4.24 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.02/4.24 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.02/4.24 (cowlThing iX)) % 4.02/4.24 (rhasHead iX iY)) % 4.02/4.24 False) % 4.02/4.24 (Eq (cowlThing iY) False) % 4.02/4.24 Clause #27 (by clausification #[26]): Or (Eq (cowlThing iY) False) % 4.02/4.24 (Or % 4.02/4.24 (Eq % 4.02/4.24 (And % 4.02/4.24 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.02/4.24 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.02/4.24 (cowlThing iX)) % 4.02/4.24 False) % 4.02/4.24 (Eq (rhasHead iX iY) False)) % 4.02/4.24 Clause #28 (by clausification #[27]): Or (Eq (cowlThing iY) False) % 4.02/4.24 (Or (Eq (rhasHead iX iY) False) % 4.02/4.24 (Or % 4.02/4.24 (Eq % 4.02/4.24 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.02/4.24 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.02/4.24 False) % 4.02/4.24 (Eq (cowlThing iX) False))) % 4.02/4.24 Clause #29 (by clausification #[28]): Or (Eq (cowlThing iY) False) % 4.02/4.24 (Or (Eq (rhasHead iX iY) False) % 4.02/4.24 (Or (Eq (cowlThing iX) False) % 4.02/4.24 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False) % 4.02/4.24 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)))) % 4.02/4.24 Clause #30 (by clausification #[29]): ∀ (a : Iota), % 4.02/4.24 Or (Eq (cowlThing iY) False) % 4.02/4.24 (Or (Eq (rhasHead iX iY) False) % 4.02/4.24 (Or (Eq (cowlThing iX) False) % 4.02/4.24 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False) % 4.02/4.24 (Eq (Not (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a))))) True)))) % 4.02/4.24 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota), % 4.02/4.24 Or (Eq (cowlThing iY) False) % 4.02/4.24 (Or (Eq (rhasHead iX iY) False) % 4.02/4.24 (Or (Eq (cowlThing iX) False) % 4.02/4.24 (Or (Eq (Not (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a))))) True) % 4.10/4.27 (Eq (Not (Iff (xsd_string (skS.0 1 a_1)) (Not (xsd_integer (skS.0 1 a_1))))) True)))) % 4.10/4.27 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), % 4.10/4.27 Or (Eq (cowlThing iY) False) % 4.10/4.27 (Or (Eq (rhasHead iX iY) False) % 4.10/4.27 (Or (Eq (cowlThing iX) False) % 4.10/4.27 (Or (Eq (Not (Iff (xsd_string (skS.0 1 a)) (Not (xsd_integer (skS.0 1 a))))) True) % 4.10/4.27 (Eq (And (cowlThing (skS.0 0 a_1)) (Not (cowlNothing (skS.0 0 a_1)))) False)))) % 4.10/4.27 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota), % 4.10/4.27 Or (Eq (cowlThing iY) False) % 4.10/4.27 (Or (Eq (rhasHead iX iY) False) % 4.10/4.27 (Or (Eq (cowlThing iX) False) % 4.10/4.27 (Or (Eq (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a)))) False) % 4.10/4.27 (Eq (Iff (xsd_string (skS.0 1 a_1)) (Not (xsd_integer (skS.0 1 a_1)))) False)))) % 4.10/4.27 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota), % 4.10/4.27 Or (Eq (cowlThing iY) False) % 4.10/4.27 (Or (Eq (rhasHead iX iY) False) % 4.10/4.27 (Or (Eq (cowlThing iX) False) % 4.10/4.27 (Or (Eq (Iff (xsd_string (skS.0 1 a)) (Not (xsd_integer (skS.0 1 a)))) False) % 4.10/4.27 (Or (Eq (cowlThing (skS.0 0 a_1)) False) (Eq (Not (cowlNothing (skS.0 0 a_1))) False))))) % 4.10/4.27 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota), % 4.10/4.27 Or (Eq (cowlThing iY) False) % 4.10/4.27 (Or (Eq (rhasHead iX iY) False) % 4.10/4.27 (Or (Eq (cowlThing iX) False) % 4.10/4.27 (Or (Eq (cowlThing (skS.0 0 a)) False) % 4.10/4.27 (Or (Eq (Not (cowlNothing (skS.0 0 a))) False) % 4.10/4.27 (Or (Eq (xsd_string (skS.0 1 a_1)) False) (Eq (Not (xsd_integer (skS.0 1 a_1))) False)))))) % 4.10/4.27 Clause #36 (by clausification #[34]): ∀ (a a_1 : Iota), % 4.10/4.27 Or (Eq (cowlThing iY) False) % 4.10/4.27 (Or (Eq (rhasHead iX iY) False) % 4.10/4.27 (Or (Eq (cowlThing iX) False) % 4.10/4.27 (Or (Eq (cowlThing (skS.0 0 a)) False) % 4.10/4.27 (Or (Eq (Not (cowlNothing (skS.0 0 a))) False) % 4.10/4.27 (Or (Eq (xsd_string (skS.0 1 a_1)) True) (Eq (Not (xsd_integer (skS.0 1 a_1))) True)))))) % 4.10/4.27 Clause #37 (by clausification #[35]): ∀ (a a_1 : Iota), % 4.10/4.27 Or (Eq (cowlThing iY) False) % 4.10/4.27 (Or (Eq (rhasHead iX iY) False) % 4.10/4.27 (Or (Eq (cowlThing iX) False) % 4.10/4.27 (Or (Eq (cowlThing (skS.0 0 a)) False) % 4.10/4.27 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 4.10/4.27 (Or (Eq (Not (xsd_integer (skS.0 1 a_1))) False) (Eq (cowlNothing (skS.0 0 a)) True)))))) % 4.10/4.27 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota), % 4.10/4.27 Or (Eq (cowlThing iY) False) % 4.10/4.27 (Or (Eq (rhasHead iX iY) False) % 4.10/4.27 (Or (Eq (cowlThing iX) False) % 4.10/4.27 (Or (Eq (cowlThing (skS.0 0 a)) False) % 4.10/4.27 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 4.10/4.27 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))))) % 4.10/4.27 Clause #39 (by forward demodulation #[38, 15]): ∀ (a a_1 : Iota), % 4.10/4.27 Or (Eq True False) % 4.10/4.27 (Or (Eq (rhasHead iX iY) False) % 4.10/4.27 (Or (Eq (cowlThing iX) False) % 4.10/4.27 (Or (Eq (cowlThing (skS.0 0 a)) False) % 4.10/4.27 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 4.10/4.27 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))))) % 4.10/4.27 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota), % 4.10/4.27 Or (Eq (rhasHead iX iY) False) % 4.10/4.27 (Or (Eq (cowlThing iX) False) % 4.10/4.27 (Or (Eq (cowlThing (skS.0 0 a)) False) % 4.10/4.27 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 4.10/4.27 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))) % 4.10/4.27 Clause #41 (by forward demodulation #[40, 23]): ∀ (a a_1 : Iota), % 4.10/4.27 Or (Eq True False) % 4.10/4.27 (Or (Eq (cowlThing iX) False) % 4.10/4.27 (Or (Eq (cowlThing (skS.0 0 a)) False) % 4.10/4.27 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 4.10/4.27 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))) % 4.10/4.27 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota), % 4.10/4.27 Or (Eq (cowlThing iX) False) % 4.10/4.27 (Or (Eq (cowlThing (skS.0 0 a)) False) % 4.10/4.27 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 4.10/4.27 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))) % 4.10/4.27 Clause #43 (by forward demodulation #[42, 15]): ∀ (a a_1 : Iota), % 4.10/4.27 Or (Eq True False) % 4.10/4.27 (Or (Eq (cowlThing (skS.0 0 a)) False) % 4.10/4.27 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 4.10/4.27 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))) % 4.10/4.29 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota), % 4.10/4.29 Or (Eq (cowlThing (skS.0 0 a)) False) % 4.10/4.29 (Or (Eq (xsd_string (skS.0 1 a_1)) False) % 4.10/4.29 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))) % 4.10/4.29 Clause #45 (by forward demodulation #[44, 15]): ∀ (a a_1 : Iota), % 4.10/4.29 Or (Eq True False) % 4.10/4.29 (Or (Eq (xsd_string (skS.0 1 a)) False) % 4.10/4.29 (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a)) True))) % 4.10/4.29 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota), % 4.10/4.29 Or (Eq (xsd_string (skS.0 1 a)) False) (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a)) True)) % 4.10/4.29 Clause #47 (by superposition #[46, 10]): ∀ (a a_1 : Iota), % 4.10/4.29 Or (Eq (cowlNothing (skS.0 0 a)) True) % 4.10/4.29 (Or (Eq (xsd_integer (skS.0 1 a_1)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 1 a_1)) True))) % 4.10/4.29 Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota), % 4.10/4.29 Or (Eq (cowlNothing (skS.0 0 a)) True) % 4.10/4.29 (Or (Eq (xsd_integer (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)) % 4.10/4.29 Clause #49 (by eliminate duplicate literals #[48]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True) % 4.10/4.29 Clause #50 (by superposition #[49, 16]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 1 a)) True) (Eq True False) % 4.10/4.29 Clause #51 (by clausification #[50]): ∀ (a : Iota), Eq (xsd_integer (skS.0 1 a)) True % 4.10/4.29 Clause #52 (by clausification #[36]): ∀ (a a_1 : Iota), % 4.10/4.29 Or (Eq (cowlThing iY) False) % 4.10/4.29 (Or (Eq (rhasHead iX iY) False) % 4.10/4.29 (Or (Eq (cowlThing iX) False) % 4.10/4.29 (Or (Eq (cowlThing (skS.0 0 a)) False) % 4.10/4.29 (Or (Eq (xsd_string (skS.0 1 a_1)) True) % 4.10/4.29 (Or (Eq (Not (xsd_integer (skS.0 1 a_1))) True) (Eq (cowlNothing (skS.0 0 a)) True)))))) % 4.10/4.29 Clause #53 (by clausification #[52]): ∀ (a a_1 : Iota), % 4.10/4.29 Or (Eq (cowlThing iY) False) % 4.10/4.29 (Or (Eq (rhasHead iX iY) False) % 4.10/4.29 (Or (Eq (cowlThing iX) False) % 4.10/4.29 (Or (Eq (cowlThing (skS.0 0 a)) False) % 4.10/4.29 (Or (Eq (xsd_string (skS.0 1 a_1)) True) % 4.10/4.29 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))))) % 4.10/4.29 Clause #54 (by forward demodulation #[53, 15]): ∀ (a a_1 : Iota), % 4.10/4.29 Or (Eq True False) % 4.10/4.29 (Or (Eq (rhasHead iX iY) False) % 4.10/4.29 (Or (Eq (cowlThing iX) False) % 4.10/4.29 (Or (Eq (cowlThing (skS.0 0 a)) False) % 4.10/4.29 (Or (Eq (xsd_string (skS.0 1 a_1)) True) % 4.10/4.29 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))))) % 4.10/4.29 Clause #55 (by clausification #[54]): ∀ (a a_1 : Iota), % 4.10/4.29 Or (Eq (rhasHead iX iY) False) % 4.10/4.29 (Or (Eq (cowlThing iX) False) % 4.10/4.29 (Or (Eq (cowlThing (skS.0 0 a)) False) % 4.10/4.29 (Or (Eq (xsd_string (skS.0 1 a_1)) True) % 4.10/4.29 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))) % 4.10/4.29 Clause #56 (by forward demodulation #[55, 23]): ∀ (a a_1 : Iota), % 4.10/4.29 Or (Eq True False) % 4.10/4.29 (Or (Eq (cowlThing iX) False) % 4.10/4.29 (Or (Eq (cowlThing (skS.0 0 a)) False) % 4.10/4.29 (Or (Eq (xsd_string (skS.0 1 a_1)) True) % 4.10/4.29 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))) % 4.10/4.29 Clause #57 (by clausification #[56]): ∀ (a a_1 : Iota), % 4.10/4.29 Or (Eq (cowlThing iX) False) % 4.10/4.29 (Or (Eq (cowlThing (skS.0 0 a)) False) % 4.10/4.29 (Or (Eq (xsd_string (skS.0 1 a_1)) True) % 4.10/4.29 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))) % 4.10/4.29 Clause #58 (by forward demodulation #[57, 15]): ∀ (a a_1 : Iota), % 4.10/4.29 Or (Eq True False) % 4.10/4.29 (Or (Eq (cowlThing (skS.0 0 a)) False) % 4.10/4.29 (Or (Eq (xsd_string (skS.0 1 a_1)) True) % 4.10/4.29 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))) % 4.10/4.29 Clause #59 (by clausification #[58]): ∀ (a a_1 : Iota), % 4.10/4.29 Or (Eq (cowlThing (skS.0 0 a)) False) % 4.10/4.29 (Or (Eq (xsd_string (skS.0 1 a_1)) True) % 4.10/4.29 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))) % 4.10/4.29 Clause #60 (by forward demodulation #[59, 15]): ∀ (a a_1 : Iota), % 4.10/4.29 Or (Eq True False) % 4.10/4.29 (Or (Eq (xsd_string (skS.0 1 a)) True) % 4.10/4.29 (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a)) False))) % 4.10/4.30 Clause #61 (by clausification #[60]): ∀ (a a_1 : Iota), % 4.10/4.30 Or (Eq (xsd_string (skS.0 1 a)) True) (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a)) False)) % 4.10/4.30 Clause #62 (by forward demodulation #[61, 51]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 1 a)) True) (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq True False)) % 4.10/4.30 Clause #63 (by clausification #[62]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 1 a)) True) (Eq (cowlNothing (skS.0 0 a_1)) True) % 4.10/4.30 Clause #64 (by superposition #[63, 11]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 0 a)) True) (Or (Eq True False) (Eq (xsd_integer (skS.0 1 a_1)) False)) % 4.10/4.30 Clause #68 (by clausification #[64]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False) % 4.10/4.30 Clause #69 (by superposition #[68, 51]): ∀ (a : Iota), Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq False True) % 4.10/4.30 Clause #70 (by clausification #[69]): ∀ (a : Iota), Eq (cowlNothing (skS.0 0 a)) True % 4.10/4.30 Clause #71 (by superposition #[70, 16]): Eq True False % 4.10/4.30 Clause #72 (by clausification #[71]): False % 4.10/4.30 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------