%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS131+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 07:52:41 PM UTC 2025 % Result : Theorem 4.50s 4.71s % Output : Proof 4.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : KRS131+1 : TPTP v9.2.0. Released v3.1.0. % 0.04/0.13 % Command : duper %s % 0.12/0.34 % Computer : n013.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Oct 2 10:19:08 EDT 2025 % 0.12/0.34 % CPUTime : % 4.50/4.71 SZS status Theorem for theBenchmark.p % 4.50/4.71 SZS output start Proof for theBenchmark.p % 4.50/4.71 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True % 4.50/4.71 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True % 4.50/4.71 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Iff (cA X) (Exists fun Y => And (rq X Y) (cowlThing Y))) True % 4.50/4.71 Clause #3 (by assumption #[]): Eq (∀ (X : Iota), cNothing X → Not (Exists fun Y => rp X Y)) True % 4.50/4.71 Clause #4 (by assumption #[]): Eq (∀ (X : Iota), cNothing X → Exists fun Y0 => rp X Y0) True % 4.50/4.71 Clause #5 (by assumption #[]): Eq (∀ (X : Iota), Iff (cnotA X) (∀ (Y : Iota), rq X Y → cNothing Y)) True % 4.50/4.71 Clause #6 (by assumption #[]): Eq % 4.50/4.71 (Not % 4.50/4.71 (And % 4.50/4.71 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.50/4.71 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.50/4.71 (∀ (X : Iota), Iff (cnotA X) (Not (cA X))))) % 4.50/4.71 True % 4.50/4.71 Clause #7 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True % 4.50/4.71 Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False) % 4.50/4.71 Clause #9 (by clausification #[7]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True) % 4.50/4.71 Clause #10 (by clausification #[8]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True) % 4.50/4.71 Clause #11 (by clausification #[9]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False) % 4.50/4.71 Clause #13 (by clausification #[0]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True % 4.50/4.71 Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True % 4.50/4.71 Clause #15 (by clausification #[13]): ∀ (a : Iota), Eq (cowlThing a) True % 4.50/4.71 Clause #16 (by clausification #[14]): ∀ (a : Iota), Eq (cowlNothing a) False % 4.50/4.71 Clause #18 (by clausification #[2]): ∀ (a : Iota), Eq (Iff (cA a) (Exists fun Y => And (rq a Y) (cowlThing Y))) True % 4.50/4.71 Clause #19 (by clausification #[18]): ∀ (a : Iota), Or (Eq (cA a) True) (Eq (Exists fun Y => And (rq a Y) (cowlThing Y)) False) % 4.50/4.71 Clause #20 (by clausification #[18]): ∀ (a : Iota), Or (Eq (cA a) False) (Eq (Exists fun Y => And (rq a Y) (cowlThing Y)) True) % 4.50/4.71 Clause #21 (by clausification #[19]): ∀ (a a_1 : Iota), Or (Eq (cA a) True) (Eq (And (rq a a_1) (cowlThing a_1)) False) % 4.50/4.71 Clause #22 (by clausification #[21]): ∀ (a a_1 : Iota), Or (Eq (cA a) True) (Or (Eq (rq a a_1) False) (Eq (cowlThing a_1) False)) % 4.50/4.71 Clause #23 (by forward demodulation #[22, 15]): ∀ (a a_1 : Iota), Or (Eq (cA a) True) (Or (Eq (rq a a_1) False) (Eq True False)) % 4.50/4.71 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), Or (Eq (cA a) True) (Eq (rq a a_1) False) % 4.50/4.71 Clause #25 (by clausification #[5]): ∀ (a : Iota), Eq (Iff (cnotA a) (∀ (Y : Iota), rq a Y → cNothing Y)) True % 4.50/4.71 Clause #26 (by clausification #[25]): ∀ (a : Iota), Or (Eq (cnotA a) True) (Eq (∀ (Y : Iota), rq a Y → cNothing Y) False) % 4.50/4.71 Clause #27 (by clausification #[25]): ∀ (a : Iota), Or (Eq (cnotA a) False) (Eq (∀ (Y : Iota), rq a Y → cNothing Y) True) % 4.50/4.71 Clause #28 (by clausification #[26]): ∀ (a a_1 : Iota), Or (Eq (cnotA a) True) (Eq (Not (rq a (skS.0 0 a a_1) → cNothing (skS.0 0 a a_1))) True) % 4.50/4.71 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), Or (Eq (cnotA a) True) (Eq (rq a (skS.0 0 a a_1) → cNothing (skS.0 0 a a_1)) False) % 4.50/4.71 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota), Or (Eq (cnotA a) True) (Eq (rq a (skS.0 0 a a_1)) True) % 4.50/4.71 Clause #32 (by superposition #[30, 24]): ∀ (a : Iota), Or (Eq (cnotA a) True) (Or (Eq (cA a) True) (Eq True False)) % 4.50/4.71 Clause #33 (by clausification #[32]): ∀ (a : Iota), Or (Eq (cnotA a) True) (Eq (cA a) True) % 4.50/4.71 Clause #34 (by clausification #[27]): ∀ (a a_1 : Iota), Or (Eq (cnotA a) False) (Eq (rq a a_1 → cNothing a_1) True) % 4.50/4.71 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota), Or (Eq (cnotA a) False) (Or (Eq (rq a a_1) False) (Eq (cNothing a_1) True)) % 4.50/4.71 Clause #36 (by betaEtaReduce #[4]): Eq (∀ (X : Iota), cNothing X → Exists (rp X)) True % 4.50/4.71 Clause #37 (by clausification #[36]): ∀ (a : Iota), Eq (cNothing a → Exists (rp a)) True % 4.50/4.74 Clause #38 (by clausification #[37]): ∀ (a : Iota), Or (Eq (cNothing a) False) (Eq (Exists (rp a)) True) % 4.50/4.74 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota), Or (Eq (cNothing a) False) (Eq (rp a (skS.0 1 a a_1)) True) % 4.50/4.74 Clause #40 (by betaEtaReduce #[3]): Eq (∀ (X : Iota), cNothing X → Not (Exists (rp X))) True % 4.50/4.74 Clause #41 (by clausification #[40]): ∀ (a : Iota), Eq (cNothing a → Not (Exists (rp a))) True % 4.50/4.74 Clause #42 (by clausification #[41]): ∀ (a : Iota), Or (Eq (cNothing a) False) (Eq (Not (Exists (rp a))) True) % 4.50/4.74 Clause #43 (by clausification #[42]): ∀ (a : Iota), Or (Eq (cNothing a) False) (Eq (Exists (rp a)) False) % 4.50/4.74 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota), Or (Eq (cNothing a) False) (Eq (rp a a_1) False) % 4.50/4.74 Clause #45 (by clausification #[6]): Eq % 4.50/4.74 (And % 4.50/4.74 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.50/4.74 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.50/4.74 (∀ (X : Iota), Iff (cnotA X) (Not (cA X)))) % 4.50/4.74 False % 4.50/4.74 Clause #46 (by clausification #[45]): Or % 4.50/4.74 (Eq % 4.50/4.74 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) % 4.50/4.74 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))) % 4.50/4.74 False) % 4.50/4.74 (Eq (∀ (X : Iota), Iff (cnotA X) (Not (cA X))) False) % 4.50/4.74 Clause #47 (by clausification #[46]): Or (Eq (∀ (X : Iota), Iff (cnotA X) (Not (cA X))) False) % 4.50/4.74 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False) % 4.50/4.74 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)) % 4.50/4.74 Clause #48 (by clausification #[47]): ∀ (a : Iota), % 4.50/4.74 Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False) % 4.50/4.74 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False) % 4.50/4.74 (Eq (Not (Iff (cnotA (skS.0 2 a)) (Not (cA (skS.0 2 a))))) True)) % 4.50/4.74 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota), % 4.50/4.74 Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False) % 4.50/4.74 (Or (Eq (Not (Iff (cnotA (skS.0 2 a)) (Not (cA (skS.0 2 a))))) True) % 4.50/4.74 (Eq (Not (And (cowlThing (skS.0 3 a_1)) (Not (cowlNothing (skS.0 3 a_1))))) True)) % 4.50/4.74 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 : Iota), % 4.50/4.74 Or (Eq (Not (Iff (cnotA (skS.0 2 a)) (Not (cA (skS.0 2 a))))) True) % 4.50/4.74 (Or (Eq (Not (And (cowlThing (skS.0 3 a_1)) (Not (cowlNothing (skS.0 3 a_1))))) True) % 4.50/4.74 (Eq (Not (Iff (xsd_string (skS.0 4 a_2)) (Not (xsd_integer (skS.0 4 a_2))))) True)) % 4.50/4.74 Clause #51 (by clausification #[50]): ∀ (a a_1 a_2 : Iota), % 4.50/4.74 Or (Eq (Not (And (cowlThing (skS.0 3 a)) (Not (cowlNothing (skS.0 3 a))))) True) % 4.50/4.74 (Or (Eq (Not (Iff (xsd_string (skS.0 4 a_1)) (Not (xsd_integer (skS.0 4 a_1))))) True) % 4.50/4.74 (Eq (Iff (cnotA (skS.0 2 a_2)) (Not (cA (skS.0 2 a_2)))) False)) % 4.50/4.74 Clause #52 (by clausification #[51]): ∀ (a a_1 a_2 : Iota), % 4.50/4.74 Or (Eq (Not (Iff (xsd_string (skS.0 4 a)) (Not (xsd_integer (skS.0 4 a))))) True) % 4.50/4.74 (Or (Eq (Iff (cnotA (skS.0 2 a_1)) (Not (cA (skS.0 2 a_1)))) False) % 4.50/4.74 (Eq (And (cowlThing (skS.0 3 a_2)) (Not (cowlNothing (skS.0 3 a_2)))) False)) % 4.50/4.74 Clause #53 (by clausification #[52]): ∀ (a a_1 a_2 : Iota), % 4.50/4.74 Or (Eq (Iff (cnotA (skS.0 2 a)) (Not (cA (skS.0 2 a)))) False) % 4.50/4.74 (Or (Eq (And (cowlThing (skS.0 3 a_1)) (Not (cowlNothing (skS.0 3 a_1)))) False) % 4.50/4.74 (Eq (Iff (xsd_string (skS.0 4 a_2)) (Not (xsd_integer (skS.0 4 a_2)))) False)) % 4.50/4.74 Clause #54 (by clausification #[53]): ∀ (a a_1 a_2 : Iota), % 4.50/4.74 Or (Eq (And (cowlThing (skS.0 3 a)) (Not (cowlNothing (skS.0 3 a)))) False) % 4.50/4.74 (Or (Eq (Iff (xsd_string (skS.0 4 a_1)) (Not (xsd_integer (skS.0 4 a_1)))) False) % 4.50/4.74 (Or (Eq (cnotA (skS.0 2 a_2)) False) (Eq (Not (cA (skS.0 2 a_2))) False))) % 4.50/4.74 Clause #55 (by clausification #[53]): ∀ (a a_1 a_2 : Iota), % 4.50/4.74 Or (Eq (And (cowlThing (skS.0 3 a)) (Not (cowlNothing (skS.0 3 a)))) False) % 4.50/4.74 (Or (Eq (Iff (xsd_string (skS.0 4 a_1)) (Not (xsd_integer (skS.0 4 a_1)))) False) % 4.50/4.74 (Or (Eq (cnotA (skS.0 2 a_2)) True) (Eq (Not (cA (skS.0 2 a_2))) True))) % 4.50/4.74 Clause #56 (by clausification #[54]): ∀ (a a_1 a_2 : Iota), % 4.50/4.74 Or (Eq (Iff (xsd_string (skS.0 4 a)) (Not (xsd_integer (skS.0 4 a)))) False) % 4.50/4.74 (Or (Eq (cnotA (skS.0 2 a_1)) False) % 4.59/4.77 (Or (Eq (Not (cA (skS.0 2 a_1))) False) % 4.59/4.77 (Or (Eq (cowlThing (skS.0 3 a_2)) False) (Eq (Not (cowlNothing (skS.0 3 a_2))) False)))) % 4.59/4.77 Clause #57 (by clausification #[56]): ∀ (a a_1 a_2 : Iota), % 4.59/4.77 Or (Eq (cnotA (skS.0 2 a)) False) % 4.59/4.77 (Or (Eq (Not (cA (skS.0 2 a))) False) % 4.59/4.77 (Or (Eq (cowlThing (skS.0 3 a_1)) False) % 4.59/4.77 (Or (Eq (Not (cowlNothing (skS.0 3 a_1))) False) % 4.59/4.77 (Or (Eq (xsd_string (skS.0 4 a_2)) False) (Eq (Not (xsd_integer (skS.0 4 a_2))) False))))) % 4.59/4.77 Clause #58 (by clausification #[56]): ∀ (a a_1 a_2 : Iota), % 4.59/4.77 Or (Eq (cnotA (skS.0 2 a)) False) % 4.59/4.77 (Or (Eq (Not (cA (skS.0 2 a))) False) % 4.59/4.77 (Or (Eq (cowlThing (skS.0 3 a_1)) False) % 4.59/4.77 (Or (Eq (Not (cowlNothing (skS.0 3 a_1))) False) % 4.59/4.77 (Or (Eq (xsd_string (skS.0 4 a_2)) True) (Eq (Not (xsd_integer (skS.0 4 a_2))) True))))) % 4.59/4.77 Clause #59 (by clausification #[57]): ∀ (a a_1 a_2 : Iota), % 4.59/4.77 Or (Eq (cnotA (skS.0 2 a)) False) % 4.59/4.77 (Or (Eq (cowlThing (skS.0 3 a_1)) False) % 4.59/4.77 (Or (Eq (Not (cowlNothing (skS.0 3 a_1))) False) % 4.59/4.77 (Or (Eq (xsd_string (skS.0 4 a_2)) False) % 4.59/4.77 (Or (Eq (Not (xsd_integer (skS.0 4 a_2))) False) (Eq (cA (skS.0 2 a)) True))))) % 4.59/4.77 Clause #60 (by clausification #[59]): ∀ (a a_1 a_2 : Iota), % 4.59/4.77 Or (Eq (cnotA (skS.0 2 a)) False) % 4.59/4.77 (Or (Eq (cowlThing (skS.0 3 a_1)) False) % 4.59/4.77 (Or (Eq (xsd_string (skS.0 4 a_2)) False) % 4.59/4.77 (Or (Eq (Not (xsd_integer (skS.0 4 a_2))) False) % 4.59/4.77 (Or (Eq (cA (skS.0 2 a)) True) (Eq (cowlNothing (skS.0 3 a_1)) True))))) % 4.59/4.77 Clause #61 (by clausification #[60]): ∀ (a a_1 a_2 : Iota), % 4.59/4.77 Or (Eq (cnotA (skS.0 2 a)) False) % 4.59/4.77 (Or (Eq (cowlThing (skS.0 3 a_1)) False) % 4.59/4.77 (Or (Eq (xsd_string (skS.0 4 a_2)) False) % 4.59/4.77 (Or (Eq (cA (skS.0 2 a)) True) % 4.59/4.77 (Or (Eq (cowlNothing (skS.0 3 a_1)) True) (Eq (xsd_integer (skS.0 4 a_2)) True))))) % 4.59/4.77 Clause #62 (by forward demodulation #[61, 15]): ∀ (a a_1 a_2 : Iota), % 4.59/4.77 Or (Eq (cnotA (skS.0 2 a)) False) % 4.59/4.77 (Or (Eq True False) % 4.59/4.77 (Or (Eq (xsd_string (skS.0 4 a_1)) False) % 4.59/4.77 (Or (Eq (cA (skS.0 2 a)) True) % 4.59/4.77 (Or (Eq (cowlNothing (skS.0 3 a_2)) True) (Eq (xsd_integer (skS.0 4 a_1)) True))))) % 4.59/4.77 Clause #63 (by clausification #[62]): ∀ (a a_1 a_2 : Iota), % 4.59/4.77 Or (Eq (cnotA (skS.0 2 a)) False) % 4.59/4.77 (Or (Eq (xsd_string (skS.0 4 a_1)) False) % 4.59/4.77 (Or (Eq (cA (skS.0 2 a)) True) (Or (Eq (cowlNothing (skS.0 3 a_2)) True) (Eq (xsd_integer (skS.0 4 a_1)) True)))) % 4.59/4.77 Clause #64 (by clausification #[20]): ∀ (a a_1 : Iota), Or (Eq (cA a) False) (Eq (And (rq a (skS.0 5 a a_1)) (cowlThing (skS.0 5 a a_1))) True) % 4.59/4.77 Clause #66 (by clausification #[64]): ∀ (a a_1 : Iota), Or (Eq (cA a) False) (Eq (rq a (skS.0 5 a a_1)) True) % 4.59/4.77 Clause #69 (by clausification #[58]): ∀ (a a_1 a_2 : Iota), % 4.59/4.77 Or (Eq (cnotA (skS.0 2 a)) False) % 4.59/4.77 (Or (Eq (cowlThing (skS.0 3 a_1)) False) % 4.59/4.77 (Or (Eq (Not (cowlNothing (skS.0 3 a_1))) False) % 4.59/4.77 (Or (Eq (xsd_string (skS.0 4 a_2)) True) % 4.59/4.77 (Or (Eq (Not (xsd_integer (skS.0 4 a_2))) True) (Eq (cA (skS.0 2 a)) True))))) % 4.59/4.77 Clause #70 (by clausification #[69]): ∀ (a a_1 a_2 : Iota), % 4.59/4.77 Or (Eq (cnotA (skS.0 2 a)) False) % 4.59/4.77 (Or (Eq (cowlThing (skS.0 3 a_1)) False) % 4.59/4.77 (Or (Eq (xsd_string (skS.0 4 a_2)) True) % 4.59/4.77 (Or (Eq (Not (xsd_integer (skS.0 4 a_2))) True) % 4.59/4.77 (Or (Eq (cA (skS.0 2 a)) True) (Eq (cowlNothing (skS.0 3 a_1)) True))))) % 4.59/4.77 Clause #71 (by clausification #[70]): ∀ (a a_1 a_2 : Iota), % 4.59/4.77 Or (Eq (cnotA (skS.0 2 a)) False) % 4.59/4.77 (Or (Eq (cowlThing (skS.0 3 a_1)) False) % 4.59/4.77 (Or (Eq (xsd_string (skS.0 4 a_2)) True) % 4.59/4.77 (Or (Eq (cA (skS.0 2 a)) True) % 4.59/4.77 (Or (Eq (cowlNothing (skS.0 3 a_1)) True) (Eq (xsd_integer (skS.0 4 a_2)) False))))) % 4.59/4.77 Clause #72 (by forward demodulation #[71, 15]): ∀ (a a_1 a_2 : Iota), % 4.59/4.77 Or (Eq (cnotA (skS.0 2 a)) False) % 4.59/4.77 (Or (Eq True False) % 4.59/4.77 (Or (Eq (xsd_string (skS.0 4 a_1)) True) % 4.59/4.77 (Or (Eq (cA (skS.0 2 a)) True) % 4.59/4.77 (Or (Eq (cowlNothing (skS.0 3 a_2)) True) (Eq (xsd_integer (skS.0 4 a_1)) False))))) % 4.59/4.77 Clause #73 (by clausification #[72]): ∀ (a a_1 a_2 : Iota), % 4.59/4.77 Or (Eq (cnotA (skS.0 2 a)) False) % 4.59/4.77 (Or (Eq (xsd_string (skS.0 4 a_1)) True) % 4.63/4.79 (Or (Eq (cA (skS.0 2 a)) True) (Or (Eq (cowlNothing (skS.0 3 a_2)) True) (Eq (xsd_integer (skS.0 4 a_1)) False)))) % 4.63/4.79 Clause #74 (by clausification #[55]): ∀ (a a_1 a_2 : Iota), % 4.63/4.79 Or (Eq (Iff (xsd_string (skS.0 4 a)) (Not (xsd_integer (skS.0 4 a)))) False) % 4.63/4.79 (Or (Eq (cnotA (skS.0 2 a_1)) True) % 4.63/4.79 (Or (Eq (Not (cA (skS.0 2 a_1))) True) % 4.63/4.79 (Or (Eq (cowlThing (skS.0 3 a_2)) False) (Eq (Not (cowlNothing (skS.0 3 a_2))) False)))) % 4.63/4.79 Clause #75 (by clausification #[74]): ∀ (a a_1 a_2 : Iota), % 4.63/4.79 Or (Eq (cnotA (skS.0 2 a)) True) % 4.63/4.79 (Or (Eq (Not (cA (skS.0 2 a))) True) % 4.63/4.79 (Or (Eq (cowlThing (skS.0 3 a_1)) False) % 4.63/4.79 (Or (Eq (Not (cowlNothing (skS.0 3 a_1))) False) % 4.63/4.79 (Or (Eq (xsd_string (skS.0 4 a_2)) False) (Eq (Not (xsd_integer (skS.0 4 a_2))) False))))) % 4.63/4.79 Clause #76 (by clausification #[74]): ∀ (a a_1 a_2 : Iota), % 4.63/4.79 Or (Eq (cnotA (skS.0 2 a)) True) % 4.63/4.79 (Or (Eq (Not (cA (skS.0 2 a))) True) % 4.63/4.79 (Or (Eq (cowlThing (skS.0 3 a_1)) False) % 4.63/4.79 (Or (Eq (Not (cowlNothing (skS.0 3 a_1))) False) % 4.63/4.79 (Or (Eq (xsd_string (skS.0 4 a_2)) True) (Eq (Not (xsd_integer (skS.0 4 a_2))) True))))) % 4.63/4.79 Clause #77 (by clausification #[75]): ∀ (a a_1 a_2 : Iota), % 4.63/4.79 Or (Eq (cnotA (skS.0 2 a)) True) % 4.63/4.79 (Or (Eq (cowlThing (skS.0 3 a_1)) False) % 4.63/4.79 (Or (Eq (Not (cowlNothing (skS.0 3 a_1))) False) % 4.63/4.79 (Or (Eq (xsd_string (skS.0 4 a_2)) False) % 4.63/4.79 (Or (Eq (Not (xsd_integer (skS.0 4 a_2))) False) (Eq (cA (skS.0 2 a)) False))))) % 4.63/4.79 Clause #78 (by clausification #[77]): ∀ (a a_1 a_2 : Iota), % 4.63/4.79 Or (Eq (cnotA (skS.0 2 a)) True) % 4.63/4.79 (Or (Eq (cowlThing (skS.0 3 a_1)) False) % 4.63/4.79 (Or (Eq (xsd_string (skS.0 4 a_2)) False) % 4.63/4.79 (Or (Eq (Not (xsd_integer (skS.0 4 a_2))) False) % 4.63/4.79 (Or (Eq (cA (skS.0 2 a)) False) (Eq (cowlNothing (skS.0 3 a_1)) True))))) % 4.63/4.79 Clause #79 (by clausification #[78]): ∀ (a a_1 a_2 : Iota), % 4.63/4.79 Or (Eq (cnotA (skS.0 2 a)) True) % 4.63/4.79 (Or (Eq (cowlThing (skS.0 3 a_1)) False) % 4.63/4.79 (Or (Eq (xsd_string (skS.0 4 a_2)) False) % 4.63/4.79 (Or (Eq (cA (skS.0 2 a)) False) % 4.63/4.79 (Or (Eq (cowlNothing (skS.0 3 a_1)) True) (Eq (xsd_integer (skS.0 4 a_2)) True))))) % 4.63/4.80 Clause #80 (by forward demodulation #[79, 15]): ∀ (a a_1 a_2 : Iota), % 4.63/4.80 Or (Eq (cnotA (skS.0 2 a)) True) % 4.63/4.80 (Or (Eq True False) % 4.63/4.80 (Or (Eq (xsd_string (skS.0 4 a_1)) False) % 4.63/4.80 (Or (Eq (cA (skS.0 2 a)) False) % 4.63/4.80 (Or (Eq (cowlNothing (skS.0 3 a_2)) True) (Eq (xsd_integer (skS.0 4 a_1)) True))))) % 4.63/4.80 Clause #81 (by clausification #[80]): ∀ (a a_1 a_2 : Iota), % 4.63/4.80 Or (Eq (cnotA (skS.0 2 a)) True) % 4.63/4.80 (Or (Eq (xsd_string (skS.0 4 a_1)) False) % 4.63/4.80 (Or (Eq (cA (skS.0 2 a)) False) (Or (Eq (cowlNothing (skS.0 3 a_2)) True) (Eq (xsd_integer (skS.0 4 a_1)) True)))) % 4.63/4.80 Clause #82 (by superposition #[81, 10]): ∀ (a a_1 a_2 : Iota), % 4.63/4.80 Or (Eq (cnotA (skS.0 2 a)) True) % 4.63/4.80 (Or (Eq (cA (skS.0 2 a)) False) % 4.63/4.80 (Or (Eq (cowlNothing (skS.0 3 a_1)) True) % 4.63/4.80 (Or (Eq (xsd_integer (skS.0 4 a_2)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 4 a_2)) True))))) % 4.63/4.80 Clause #83 (by clausification #[82]): ∀ (a a_1 a_2 : Iota), % 4.63/4.80 Or (Eq (cnotA (skS.0 2 a)) True) % 4.63/4.80 (Or (Eq (cA (skS.0 2 a)) False) % 4.63/4.80 (Or (Eq (cowlNothing (skS.0 3 a_1)) True) % 4.63/4.80 (Or (Eq (xsd_integer (skS.0 4 a_2)) True) (Eq (xsd_integer (skS.0 4 a_2)) True)))) % 4.63/4.80 Clause #84 (by eliminate duplicate literals #[83]): ∀ (a a_1 a_2 : Iota), % 4.63/4.80 Or (Eq (cnotA (skS.0 2 a)) True) % 4.63/4.80 (Or (Eq (cA (skS.0 2 a)) False) (Or (Eq (cowlNothing (skS.0 3 a_1)) True) (Eq (xsd_integer (skS.0 4 a_2)) True))) % 4.63/4.80 Clause #85 (by superposition #[84, 33]): ∀ (a a_1 a_2 : Iota), % 4.63/4.80 Or (Eq (cnotA (skS.0 2 a)) True) % 4.63/4.80 (Or (Eq (cowlNothing (skS.0 3 a_1)) True) % 4.63/4.80 (Or (Eq (xsd_integer (skS.0 4 a_2)) True) (Or (Eq (cnotA (skS.0 2 a)) True) (Eq False True)))) % 4.63/4.80 Clause #86 (by clausification #[85]): ∀ (a a_1 a_2 : Iota), % 4.63/4.80 Or (Eq (cnotA (skS.0 2 a)) True) % 4.63/4.80 (Or (Eq (cowlNothing (skS.0 3 a_1)) True) (Or (Eq (xsd_integer (skS.0 4 a_2)) True) (Eq (cnotA (skS.0 2 a)) True))) % 4.63/4.80 Clause #87 (by eliminate duplicate literals #[86]): ∀ (a a_1 a_2 : Iota), % 4.63/4.80 Or (Eq (cnotA (skS.0 2 a)) True) (Or (Eq (cowlNothing (skS.0 3 a_1)) True) (Eq (xsd_integer (skS.0 4 a_2)) True)) % 4.63/4.82 Clause #91 (by superposition #[87, 16]): ∀ (a a_1 : Iota), Or (Eq (cnotA (skS.0 2 a)) True) (Or (Eq (xsd_integer (skS.0 4 a_1)) True) (Eq True False)) % 4.63/4.82 Clause #92 (by clausification #[91]): ∀ (a a_1 : Iota), Or (Eq (cnotA (skS.0 2 a)) True) (Eq (xsd_integer (skS.0 4 a_1)) True) % 4.63/4.82 Clause #100 (by clausification #[76]): ∀ (a a_1 a_2 : Iota), % 4.63/4.82 Or (Eq (cnotA (skS.0 2 a)) True) % 4.63/4.82 (Or (Eq (cowlThing (skS.0 3 a_1)) False) % 4.63/4.82 (Or (Eq (Not (cowlNothing (skS.0 3 a_1))) False) % 4.63/4.82 (Or (Eq (xsd_string (skS.0 4 a_2)) True) % 4.63/4.82 (Or (Eq (Not (xsd_integer (skS.0 4 a_2))) True) (Eq (cA (skS.0 2 a)) False))))) % 4.63/4.82 Clause #101 (by clausification #[100]): ∀ (a a_1 a_2 : Iota), % 4.63/4.82 Or (Eq (cnotA (skS.0 2 a)) True) % 4.63/4.82 (Or (Eq (cowlThing (skS.0 3 a_1)) False) % 4.63/4.82 (Or (Eq (xsd_string (skS.0 4 a_2)) True) % 4.63/4.82 (Or (Eq (Not (xsd_integer (skS.0 4 a_2))) True) % 4.63/4.82 (Or (Eq (cA (skS.0 2 a)) False) (Eq (cowlNothing (skS.0 3 a_1)) True))))) % 4.63/4.82 Clause #102 (by clausification #[101]): ∀ (a a_1 a_2 : Iota), % 4.63/4.82 Or (Eq (cnotA (skS.0 2 a)) True) % 4.63/4.82 (Or (Eq (cowlThing (skS.0 3 a_1)) False) % 4.63/4.82 (Or (Eq (xsd_string (skS.0 4 a_2)) True) % 4.63/4.82 (Or (Eq (cA (skS.0 2 a)) False) % 4.63/4.82 (Or (Eq (cowlNothing (skS.0 3 a_1)) True) (Eq (xsd_integer (skS.0 4 a_2)) False))))) % 4.63/4.82 Clause #103 (by forward demodulation #[102, 15]): ∀ (a a_1 a_2 : Iota), % 4.63/4.82 Or (Eq (cnotA (skS.0 2 a)) True) % 4.63/4.82 (Or (Eq True False) % 4.63/4.82 (Or (Eq (xsd_string (skS.0 4 a_1)) True) % 4.63/4.82 (Or (Eq (cA (skS.0 2 a)) False) % 4.63/4.82 (Or (Eq (cowlNothing (skS.0 3 a_2)) True) (Eq (xsd_integer (skS.0 4 a_1)) False))))) % 4.63/4.82 Clause #104 (by clausification #[103]): ∀ (a a_1 a_2 : Iota), % 4.63/4.82 Or (Eq (cnotA (skS.0 2 a)) True) % 4.63/4.82 (Or (Eq (xsd_string (skS.0 4 a_1)) True) % 4.63/4.82 (Or (Eq (cA (skS.0 2 a)) False) % 4.63/4.82 (Or (Eq (cowlNothing (skS.0 3 a_2)) True) (Eq (xsd_integer (skS.0 4 a_1)) False)))) % 4.63/4.82 Clause #105 (by superposition #[104, 33]): ∀ (a a_1 a_2 : Iota), % 4.63/4.82 Or (Eq (cnotA (skS.0 2 a)) True) % 4.63/4.82 (Or (Eq (xsd_string (skS.0 4 a_1)) True) % 4.63/4.82 (Or (Eq (cowlNothing (skS.0 3 a_2)) True) % 4.63/4.82 (Or (Eq (xsd_integer (skS.0 4 a_1)) False) (Or (Eq (cnotA (skS.0 2 a)) True) (Eq False True))))) % 4.63/4.82 Clause #108 (by clausification #[105]): ∀ (a a_1 a_2 : Iota), % 4.63/4.82 Or (Eq (cnotA (skS.0 2 a)) True) % 4.63/4.82 (Or (Eq (xsd_string (skS.0 4 a_1)) True) % 4.63/4.82 (Or (Eq (cowlNothing (skS.0 3 a_2)) True) % 4.63/4.82 (Or (Eq (xsd_integer (skS.0 4 a_1)) False) (Eq (cnotA (skS.0 2 a)) True)))) % 4.63/4.82 Clause #109 (by eliminate duplicate literals #[108]): ∀ (a a_1 a_2 : Iota), % 4.63/4.82 Or (Eq (cnotA (skS.0 2 a)) True) % 4.63/4.82 (Or (Eq (xsd_string (skS.0 4 a_1)) True) % 4.63/4.82 (Or (Eq (cowlNothing (skS.0 3 a_2)) True) (Eq (xsd_integer (skS.0 4 a_1)) False))) % 4.63/4.82 Clause #110 (by superposition #[109, 92]): ∀ (a a_1 a_2 a_3 : Iota), % 4.63/4.82 Or (Eq (cnotA (skS.0 2 a)) True) % 4.63/4.82 (Or (Eq (xsd_string (skS.0 4 a_1)) True) % 4.63/4.82 (Or (Eq (cowlNothing (skS.0 3 a_2)) True) (Or (Eq (cnotA (skS.0 2 a_3)) True) (Eq False True)))) % 4.63/4.82 Clause #111 (by clausification #[110]): ∀ (a a_1 a_2 a_3 : Iota), % 4.63/4.82 Or (Eq (cnotA (skS.0 2 a)) True) % 4.63/4.82 (Or (Eq (xsd_string (skS.0 4 a_1)) True) (Or (Eq (cowlNothing (skS.0 3 a_2)) True) (Eq (cnotA (skS.0 2 a_3)) True))) % 4.63/4.82 Clause #120 (by equality factoring #[111]): ∀ (a a_1 a_2 : Iota), % 4.63/4.82 Or (Eq (xsd_string (skS.0 4 a)) True) % 4.63/4.82 (Or (Eq (cowlNothing (skS.0 3 a_1)) True) (Or (Ne True True) (Eq (cnotA (skS.0 2 a_2)) True))) % 4.63/4.82 Clause #121 (by clausification #[120]): ∀ (a a_1 a_2 : Iota), % 4.63/4.82 Or (Eq (xsd_string (skS.0 4 a)) True) % 4.63/4.82 (Or (Eq (cowlNothing (skS.0 3 a_1)) True) (Or (Eq (cnotA (skS.0 2 a_2)) True) (Or (Eq True False) (Eq True False)))) % 4.63/4.82 Clause #123 (by clausification #[121]): ∀ (a a_1 a_2 : Iota), % 4.63/4.82 Or (Eq (xsd_string (skS.0 4 a)) True) % 4.63/4.82 (Or (Eq (cowlNothing (skS.0 3 a_1)) True) (Or (Eq (cnotA (skS.0 2 a_2)) True) (Eq True False))) % 4.63/4.82 Clause #124 (by clausification #[123]): ∀ (a a_1 a_2 : Iota), % 4.63/4.82 Or (Eq (xsd_string (skS.0 4 a)) True) (Or (Eq (cowlNothing (skS.0 3 a_1)) True) (Eq (cnotA (skS.0 2 a_2)) True)) % 4.63/4.82 Clause #126 (by superposition #[124, 16]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 4 a)) True) (Or (Eq (cnotA (skS.0 2 a_1)) True) (Eq True False)) % 4.69/4.85 Clause #133 (by clausification #[126]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 4 a)) True) (Eq (cnotA (skS.0 2 a_1)) True) % 4.69/4.85 Clause #135 (by superposition #[133, 11]): ∀ (a a_1 : Iota), Or (Eq (cnotA (skS.0 2 a)) True) (Or (Eq True False) (Eq (xsd_integer (skS.0 4 a_1)) False)) % 4.69/4.85 Clause #139 (by clausification #[135]): ∀ (a a_1 : Iota), Or (Eq (cnotA (skS.0 2 a)) True) (Eq (xsd_integer (skS.0 4 a_1)) False) % 4.69/4.85 Clause #140 (by superposition #[139, 92]): ∀ (a a_1 : Iota), Or (Eq (cnotA (skS.0 2 a)) True) (Or (Eq (cnotA (skS.0 2 a_1)) True) (Eq False True)) % 4.69/4.85 Clause #141 (by clausification #[140]): ∀ (a a_1 : Iota), Or (Eq (cnotA (skS.0 2 a)) True) (Eq (cnotA (skS.0 2 a_1)) True) % 4.69/4.85 Clause #145 (by equality factoring #[141]): ∀ (a : Iota), Or (Ne True True) (Eq (cnotA (skS.0 2 a)) True) % 4.69/4.85 Clause #146 (by clausification #[145]): ∀ (a : Iota), Or (Eq (cnotA (skS.0 2 a)) True) (Or (Eq True False) (Eq True False)) % 4.69/4.85 Clause #148 (by clausification #[146]): ∀ (a : Iota), Or (Eq (cnotA (skS.0 2 a)) True) (Eq True False) % 4.69/4.85 Clause #149 (by clausification #[148]): ∀ (a : Iota), Eq (cnotA (skS.0 2 a)) True % 4.69/4.85 Clause #150 (by backward demodulation #[149, 63]): ∀ (a a_1 a_2 : Iota), % 4.69/4.85 Or (Eq True False) % 4.69/4.85 (Or (Eq (xsd_string (skS.0 4 a)) False) % 4.69/4.85 (Or (Eq (cA (skS.0 2 a_1)) True) (Or (Eq (cowlNothing (skS.0 3 a_2)) True) (Eq (xsd_integer (skS.0 4 a)) True)))) % 4.69/4.85 Clause #151 (by backward demodulation #[149, 73]): ∀ (a a_1 a_2 : Iota), % 4.69/4.85 Or (Eq True False) % 4.69/4.85 (Or (Eq (xsd_string (skS.0 4 a)) True) % 4.69/4.85 (Or (Eq (cA (skS.0 2 a_1)) True) (Or (Eq (cowlNothing (skS.0 3 a_2)) True) (Eq (xsd_integer (skS.0 4 a)) False)))) % 4.69/4.85 Clause #152 (by superposition #[149, 35]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (rq (skS.0 2 a) a_1) False) (Eq (cNothing a_1) True)) % 4.69/4.85 Clause #154 (by clausification #[152]): ∀ (a a_1 : Iota), Or (Eq (rq (skS.0 2 a) a_1) False) (Eq (cNothing a_1) True) % 4.69/4.85 Clause #168 (by clausification #[151]): ∀ (a a_1 a_2 : Iota), % 4.69/4.85 Or (Eq (xsd_string (skS.0 4 a)) True) % 4.69/4.85 (Or (Eq (cA (skS.0 2 a_1)) True) (Or (Eq (cowlNothing (skS.0 3 a_2)) True) (Eq (xsd_integer (skS.0 4 a)) False))) % 4.69/4.85 Clause #170 (by clausification #[150]): ∀ (a a_1 a_2 : Iota), % 4.69/4.85 Or (Eq (xsd_string (skS.0 4 a)) False) % 4.69/4.85 (Or (Eq (cA (skS.0 2 a_1)) True) (Or (Eq (cowlNothing (skS.0 3 a_2)) True) (Eq (xsd_integer (skS.0 4 a)) True))) % 4.69/4.85 Clause #171 (by superposition #[170, 10]): ∀ (a a_1 a_2 : Iota), % 4.69/4.85 Or (Eq (cA (skS.0 2 a)) True) % 4.69/4.85 (Or (Eq (cowlNothing (skS.0 3 a_1)) True) % 4.69/4.85 (Or (Eq (xsd_integer (skS.0 4 a_2)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 4 a_2)) True)))) % 4.69/4.85 Clause #172 (by clausification #[171]): ∀ (a a_1 a_2 : Iota), % 4.69/4.85 Or (Eq (cA (skS.0 2 a)) True) % 4.69/4.85 (Or (Eq (cowlNothing (skS.0 3 a_1)) True) % 4.69/4.85 (Or (Eq (xsd_integer (skS.0 4 a_2)) True) (Eq (xsd_integer (skS.0 4 a_2)) True))) % 4.69/4.85 Clause #173 (by eliminate duplicate literals #[172]): ∀ (a a_1 a_2 : Iota), % 4.69/4.85 Or (Eq (cA (skS.0 2 a)) True) (Or (Eq (cowlNothing (skS.0 3 a_1)) True) (Eq (xsd_integer (skS.0 4 a_2)) True)) % 4.69/4.85 Clause #175 (by superposition #[173, 16]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 2 a)) True) (Or (Eq (xsd_integer (skS.0 4 a_1)) True) (Eq True False)) % 4.69/4.85 Clause #177 (by clausification #[175]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 2 a)) True) (Eq (xsd_integer (skS.0 4 a_1)) True) % 4.69/4.85 Clause #179 (by superposition #[177, 168]): ∀ (a a_1 a_2 a_3 : Iota), % 4.69/4.85 Or (Eq (cA (skS.0 2 a)) True) % 4.69/4.85 (Or (Eq (xsd_string (skS.0 4 a_1)) True) % 4.69/4.85 (Or (Eq (cA (skS.0 2 a_2)) True) (Or (Eq (cowlNothing (skS.0 3 a_3)) True) (Eq True False)))) % 4.69/4.85 Clause #192 (by clausification #[179]): ∀ (a a_1 a_2 a_3 : Iota), % 4.69/4.85 Or (Eq (cA (skS.0 2 a)) True) % 4.69/4.85 (Or (Eq (xsd_string (skS.0 4 a_1)) True) (Or (Eq (cA (skS.0 2 a_2)) True) (Eq (cowlNothing (skS.0 3 a_3)) True))) % 4.69/4.85 Clause #197 (by equality factoring #[192]): ∀ (a a_1 a_2 : Iota), % 4.69/4.85 Or (Eq (xsd_string (skS.0 4 a)) True) % 4.69/4.85 (Or (Eq (cowlNothing (skS.0 3 a_1)) True) (Or (Ne True True) (Eq (cA (skS.0 2 a_2)) True))) % 4.69/4.85 Clause #198 (by clausification #[197]): ∀ (a a_1 a_2 : Iota), % 4.69/4.87 Or (Eq (xsd_string (skS.0 4 a)) True) % 4.69/4.87 (Or (Eq (cowlNothing (skS.0 3 a_1)) True) (Or (Eq (cA (skS.0 2 a_2)) True) (Or (Eq True False) (Eq True False)))) % 4.69/4.87 Clause #200 (by clausification #[198]): ∀ (a a_1 a_2 : Iota), % 4.69/4.87 Or (Eq (xsd_string (skS.0 4 a)) True) % 4.69/4.87 (Or (Eq (cowlNothing (skS.0 3 a_1)) True) (Or (Eq (cA (skS.0 2 a_2)) True) (Eq True False))) % 4.69/4.87 Clause #201 (by clausification #[200]): ∀ (a a_1 a_2 : Iota), % 4.69/4.87 Or (Eq (xsd_string (skS.0 4 a)) True) (Or (Eq (cowlNothing (skS.0 3 a_1)) True) (Eq (cA (skS.0 2 a_2)) True)) % 4.69/4.87 Clause #203 (by superposition #[201, 16]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 4 a)) True) (Or (Eq (cA (skS.0 2 a_1)) True) (Eq True False)) % 4.69/4.87 Clause #206 (by clausification #[203]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 4 a)) True) (Eq (cA (skS.0 2 a_1)) True) % 4.69/4.87 Clause #207 (by superposition #[206, 11]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 2 a)) True) (Or (Eq True False) (Eq (xsd_integer (skS.0 4 a_1)) False)) % 4.69/4.87 Clause #209 (by clausification #[207]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 2 a)) True) (Eq (xsd_integer (skS.0 4 a_1)) False) % 4.69/4.87 Clause #210 (by superposition #[209, 177]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 2 a)) True) (Or (Eq (cA (skS.0 2 a_1)) True) (Eq False True)) % 4.69/4.87 Clause #213 (by clausification #[210]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 2 a)) True) (Eq (cA (skS.0 2 a_1)) True) % 4.69/4.87 Clause #215 (by equality factoring #[213]): ∀ (a : Iota), Or (Ne True True) (Eq (cA (skS.0 2 a)) True) % 4.69/4.87 Clause #216 (by clausification #[215]): ∀ (a : Iota), Or (Eq (cA (skS.0 2 a)) True) (Or (Eq True False) (Eq True False)) % 4.69/4.87 Clause #218 (by clausification #[216]): ∀ (a : Iota), Or (Eq (cA (skS.0 2 a)) True) (Eq True False) % 4.69/4.87 Clause #219 (by clausification #[218]): ∀ (a : Iota), Eq (cA (skS.0 2 a)) True % 4.69/4.87 Clause #220 (by superposition #[219, 66]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (rq (skS.0 2 a) (skS.0 5 (skS.0 2 a) a_1)) True) % 4.69/4.87 Clause #222 (by clausification #[220]): ∀ (a a_1 : Iota), Eq (rq (skS.0 2 a) (skS.0 5 (skS.0 2 a) a_1)) True % 4.69/4.87 Clause #223 (by superposition #[222, 154]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (cNothing (skS.0 5 (skS.0 2 a) a_1)) True) % 4.69/4.87 Clause #224 (by clausification #[223]): ∀ (a a_1 : Iota), Eq (cNothing (skS.0 5 (skS.0 2 a) a_1)) True % 4.69/4.87 Clause #225 (by superposition #[224, 39]): ∀ (a a_1 a_2 : Iota), % 4.69/4.87 Or (Eq True False) (Eq (rp (skS.0 5 (skS.0 2 a) a_1) (skS.0 1 (skS.0 5 (skS.0 2 a) a_1) a_2)) True) % 4.69/4.87 Clause #226 (by superposition #[224, 44]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (rp (skS.0 5 (skS.0 2 a) a_1) a_2) False) % 4.69/4.87 Clause #227 (by clausification #[226]): ∀ (a a_1 a_2 : Iota), Eq (rp (skS.0 5 (skS.0 2 a) a_1) a_2) False % 4.69/4.87 Clause #236 (by clausification #[225]): ∀ (a a_1 a_2 : Iota), Eq (rp (skS.0 5 (skS.0 2 a) a_1) (skS.0 1 (skS.0 5 (skS.0 2 a) a_1) a_2)) True % 4.69/4.87 Clause #237 (by superposition #[236, 227]): Eq True False % 4.69/4.87 Clause #238 (by clausification #[237]): False % 4.69/4.87 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------