TSTP Solution File: KRS132+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KRS132+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n031.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 : Thu Aug 31 05:43:27 EDT 2023
% Result : Theorem 9.27s 9.51s
% Output : Proof 9.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS132+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : duper %s
% 0.18/0.35 % Computer : n031.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Mon Aug 28 02:15:39 EDT 2023
% 0.18/0.36 % CPUTime :
% 9.27/9.51 SZS status Theorem for theBenchmark.p
% 9.27/9.51 SZS output start Proof for theBenchmark.p
% 9.27/9.51 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True
% 9.27/9.51 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True
% 9.27/9.51 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Iff (cA X) (Exists fun Y => And (rq X Y) (cowlThing Y))) True
% 9.27/9.51 Clause #3 (by assumption #[]): Eq (∀ (X : Iota), Iff (cAorB X) (Exists fun Y => And (rs X Y) (cowlThing Y))) True
% 9.27/9.51 Clause #4 (by assumption #[]): Eq (∀ (X : Iota), Iff (cB X) (Exists fun Y => And (rr X Y) (cowlThing Y))) True
% 9.27/9.51 Clause #5 (by assumption #[]): Eq (∀ (X : Iota), cNothing X → Exists fun Y0 => rp X Y0) True
% 9.27/9.51 Clause #6 (by assumption #[]): Eq (∀ (X : Iota), cNothing X → Not (Exists fun Y => rp X Y)) True
% 9.27/9.51 Clause #7 (by assumption #[]): Eq (∀ (X : Iota), Iff (cnotA X) (∀ (Y : Iota), rq X Y → cNothing Y)) True
% 9.27/9.51 Clause #8 (by assumption #[]): Eq (∀ (X : Iota), Iff (cnotAorB X) (∀ (Y : Iota), rs X Y → cNothing Y)) True
% 9.27/9.51 Clause #9 (by assumption #[]): Eq (∀ (X : Iota), Iff (cnotAorB X) (And (cnotB X) (cnotA X))) True
% 9.27/9.51 Clause #10 (by assumption #[]): Eq (∀ (X : Iota), Iff (cnotB X) (∀ (Y : Iota), rr X Y → cNothing Y)) True
% 9.27/9.51 Clause #11 (by assumption #[]): Eq
% 9.27/9.51 (Not
% 9.27/9.51 (And
% 9.27/9.51 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 9.27/9.51 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 9.27/9.51 (∀ (X : Iota), Iff (cAorB X) (Or (cB X) (cA X)))))
% 9.27/9.51 True
% 9.27/9.51 Clause #12 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True
% 9.27/9.51 Clause #13 (by clausification #[12]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False)
% 9.27/9.51 Clause #14 (by clausification #[12]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True)
% 9.27/9.51 Clause #15 (by clausification #[13]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True)
% 9.27/9.51 Clause #16 (by clausification #[14]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False)
% 9.27/9.51 Clause #19 (by clausification #[0]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True
% 9.27/9.51 Clause #20 (by clausification #[19]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True
% 9.27/9.51 Clause #21 (by clausification #[19]): ∀ (a : Iota), Eq (cowlThing a) True
% 9.27/9.51 Clause #22 (by clausification #[20]): ∀ (a : Iota), Eq (cowlNothing a) False
% 9.27/9.51 Clause #23 (by clausification #[2]): ∀ (a : Iota), Eq (Iff (cA a) (Exists fun Y => And (rq a Y) (cowlThing Y))) True
% 9.27/9.51 Clause #24 (by clausification #[23]): ∀ (a : Iota), Or (Eq (cA a) True) (Eq (Exists fun Y => And (rq a Y) (cowlThing Y)) False)
% 9.27/9.51 Clause #25 (by clausification #[23]): ∀ (a : Iota), Or (Eq (cA a) False) (Eq (Exists fun Y => And (rq a Y) (cowlThing Y)) True)
% 9.27/9.51 Clause #26 (by clausification #[24]): ∀ (a a_1 : Iota), Or (Eq (cA a) True) (Eq (And (rq a a_1) (cowlThing a_1)) False)
% 9.27/9.51 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), Or (Eq (cA a) True) (Or (Eq (rq a a_1) False) (Eq (cowlThing a_1) False))
% 9.27/9.51 Clause #28 (by forward demodulation #[27, 21]): ∀ (a a_1 : Iota), Or (Eq (cA a) True) (Or (Eq (rq a a_1) False) (Eq True False))
% 9.27/9.51 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), Or (Eq (cA a) True) (Eq (rq a a_1) False)
% 9.27/9.51 Clause #30 (by clausification #[7]): ∀ (a : Iota), Eq (Iff (cnotA a) (∀ (Y : Iota), rq a Y → cNothing Y)) True
% 9.27/9.51 Clause #31 (by clausification #[30]): ∀ (a : Iota), Or (Eq (cnotA a) True) (Eq (∀ (Y : Iota), rq a Y → cNothing Y) False)
% 9.27/9.51 Clause #32 (by clausification #[30]): ∀ (a : Iota), Or (Eq (cnotA a) False) (Eq (∀ (Y : Iota), rq a Y → cNothing Y) True)
% 9.27/9.51 Clause #33 (by clausification #[31]): ∀ (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)
% 9.27/9.51 Clause #34 (by clausification #[33]): ∀ (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)
% 9.27/9.51 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota), Or (Eq (cnotA a) True) (Eq (rq a (skS.0 0 a a_1)) True)
% 9.27/9.51 Clause #37 (by superposition #[35, 29]): ∀ (a : Iota), Or (Eq (cnotA a) True) (Or (Eq (cA a) True) (Eq True False))
% 9.35/9.53 Clause #38 (by clausification #[37]): ∀ (a : Iota), Or (Eq (cnotA a) True) (Eq (cA a) True)
% 9.35/9.53 Clause #39 (by clausification #[32]): ∀ (a a_1 : Iota), Or (Eq (cnotA a) False) (Eq (rq a a_1 → cNothing a_1) True)
% 9.35/9.53 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota), Or (Eq (cnotA a) False) (Or (Eq (rq a a_1) False) (Eq (cNothing a_1) True))
% 9.35/9.53 Clause #41 (by betaEtaReduce #[5]): Eq (∀ (X : Iota), cNothing X → Exists (rp X)) True
% 9.35/9.53 Clause #42 (by clausification #[41]): ∀ (a : Iota), Eq (cNothing a → Exists (rp a)) True
% 9.35/9.53 Clause #43 (by clausification #[42]): ∀ (a : Iota), Or (Eq (cNothing a) False) (Eq (Exists (rp a)) True)
% 9.35/9.53 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota), Or (Eq (cNothing a) False) (Eq (rp a (skS.0 1 a a_1)) True)
% 9.35/9.53 Clause #45 (by clausification #[10]): ∀ (a : Iota), Eq (Iff (cnotB a) (∀ (Y : Iota), rr a Y → cNothing Y)) True
% 9.35/9.53 Clause #46 (by clausification #[45]): ∀ (a : Iota), Or (Eq (cnotB a) True) (Eq (∀ (Y : Iota), rr a Y → cNothing Y) False)
% 9.35/9.53 Clause #47 (by clausification #[45]): ∀ (a : Iota), Or (Eq (cnotB a) False) (Eq (∀ (Y : Iota), rr a Y → cNothing Y) True)
% 9.35/9.53 Clause #48 (by clausification #[46]): ∀ (a a_1 : Iota), Or (Eq (cnotB a) True) (Eq (Not (rr a (skS.0 2 a a_1) → cNothing (skS.0 2 a a_1))) True)
% 9.35/9.53 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota), Or (Eq (cnotB a) True) (Eq (rr a (skS.0 2 a a_1) → cNothing (skS.0 2 a a_1)) False)
% 9.35/9.53 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota), Or (Eq (cnotB a) True) (Eq (rr a (skS.0 2 a a_1)) True)
% 9.35/9.53 Clause #52 (by clausification #[3]): ∀ (a : Iota), Eq (Iff (cAorB a) (Exists fun Y => And (rs a Y) (cowlThing Y))) True
% 9.35/9.53 Clause #53 (by clausification #[52]): ∀ (a : Iota), Or (Eq (cAorB a) True) (Eq (Exists fun Y => And (rs a Y) (cowlThing Y)) False)
% 9.35/9.53 Clause #54 (by clausification #[52]): ∀ (a : Iota), Or (Eq (cAorB a) False) (Eq (Exists fun Y => And (rs a Y) (cowlThing Y)) True)
% 9.35/9.53 Clause #55 (by clausification #[53]): ∀ (a a_1 : Iota), Or (Eq (cAorB a) True) (Eq (And (rs a a_1) (cowlThing a_1)) False)
% 9.35/9.53 Clause #56 (by clausification #[55]): ∀ (a a_1 : Iota), Or (Eq (cAorB a) True) (Or (Eq (rs a a_1) False) (Eq (cowlThing a_1) False))
% 9.35/9.53 Clause #57 (by forward demodulation #[56, 21]): ∀ (a a_1 : Iota), Or (Eq (cAorB a) True) (Or (Eq (rs a a_1) False) (Eq True False))
% 9.35/9.53 Clause #58 (by clausification #[57]): ∀ (a a_1 : Iota), Or (Eq (cAorB a) True) (Eq (rs a a_1) False)
% 9.35/9.53 Clause #59 (by clausification #[47]): ∀ (a a_1 : Iota), Or (Eq (cnotB a) False) (Eq (rr a a_1 → cNothing a_1) True)
% 9.35/9.53 Clause #60 (by clausification #[59]): ∀ (a a_1 : Iota), Or (Eq (cnotB a) False) (Or (Eq (rr a a_1) False) (Eq (cNothing a_1) True))
% 9.35/9.53 Clause #61 (by clausification #[8]): ∀ (a : Iota), Eq (Iff (cnotAorB a) (∀ (Y : Iota), rs a Y → cNothing Y)) True
% 9.35/9.53 Clause #62 (by clausification #[61]): ∀ (a : Iota), Or (Eq (cnotAorB a) True) (Eq (∀ (Y : Iota), rs a Y → cNothing Y) False)
% 9.35/9.53 Clause #63 (by clausification #[61]): ∀ (a : Iota), Or (Eq (cnotAorB a) False) (Eq (∀ (Y : Iota), rs a Y → cNothing Y) True)
% 9.35/9.53 Clause #64 (by clausification #[62]): ∀ (a a_1 : Iota), Or (Eq (cnotAorB a) True) (Eq (Not (rs a (skS.0 3 a a_1) → cNothing (skS.0 3 a a_1))) True)
% 9.35/9.53 Clause #65 (by clausification #[64]): ∀ (a a_1 : Iota), Or (Eq (cnotAorB a) True) (Eq (rs a (skS.0 3 a a_1) → cNothing (skS.0 3 a a_1)) False)
% 9.35/9.53 Clause #66 (by clausification #[65]): ∀ (a a_1 : Iota), Or (Eq (cnotAorB a) True) (Eq (rs a (skS.0 3 a a_1)) True)
% 9.35/9.53 Clause #68 (by superposition #[66, 58]): ∀ (a : Iota), Or (Eq (cnotAorB a) True) (Or (Eq (cAorB a) True) (Eq True False))
% 9.35/9.53 Clause #69 (by clausification #[68]): ∀ (a : Iota), Or (Eq (cnotAorB a) True) (Eq (cAorB a) True)
% 9.35/9.53 Clause #70 (by clausification #[63]): ∀ (a a_1 : Iota), Or (Eq (cnotAorB a) False) (Eq (rs a a_1 → cNothing a_1) True)
% 9.35/9.53 Clause #71 (by clausification #[70]): ∀ (a a_1 : Iota), Or (Eq (cnotAorB a) False) (Or (Eq (rs a a_1) False) (Eq (cNothing a_1) True))
% 9.35/9.53 Clause #73 (by clausification #[9]): ∀ (a : Iota), Eq (Iff (cnotAorB a) (And (cnotB a) (cnotA a))) True
% 9.35/9.56 Clause #74 (by clausification #[73]): ∀ (a : Iota), Or (Eq (cnotAorB a) True) (Eq (And (cnotB a) (cnotA a)) False)
% 9.35/9.56 Clause #75 (by clausification #[73]): ∀ (a : Iota), Or (Eq (cnotAorB a) False) (Eq (And (cnotB a) (cnotA a)) True)
% 9.35/9.56 Clause #76 (by clausification #[74]): ∀ (a : Iota), Or (Eq (cnotAorB a) True) (Or (Eq (cnotB a) False) (Eq (cnotA a) False))
% 9.35/9.56 Clause #77 (by clausification #[4]): ∀ (a : Iota), Eq (Iff (cB a) (Exists fun Y => And (rr a Y) (cowlThing Y))) True
% 9.35/9.56 Clause #78 (by clausification #[77]): ∀ (a : Iota), Or (Eq (cB a) True) (Eq (Exists fun Y => And (rr a Y) (cowlThing Y)) False)
% 9.35/9.56 Clause #79 (by clausification #[77]): ∀ (a : Iota), Or (Eq (cB a) False) (Eq (Exists fun Y => And (rr a Y) (cowlThing Y)) True)
% 9.35/9.56 Clause #80 (by clausification #[78]): ∀ (a a_1 : Iota), Or (Eq (cB a) True) (Eq (And (rr a a_1) (cowlThing a_1)) False)
% 9.35/9.56 Clause #81 (by clausification #[80]): ∀ (a a_1 : Iota), Or (Eq (cB a) True) (Or (Eq (rr a a_1) False) (Eq (cowlThing a_1) False))
% 9.35/9.56 Clause #82 (by forward demodulation #[81, 21]): ∀ (a a_1 : Iota), Or (Eq (cB a) True) (Or (Eq (rr a a_1) False) (Eq True False))
% 9.35/9.56 Clause #83 (by clausification #[82]): ∀ (a a_1 : Iota), Or (Eq (cB a) True) (Eq (rr a a_1) False)
% 9.35/9.56 Clause #84 (by superposition #[83, 50]): ∀ (a : Iota), Or (Eq (cB a) True) (Or (Eq (cnotB a) True) (Eq False True))
% 9.35/9.56 Clause #85 (by clausification #[84]): ∀ (a : Iota), Or (Eq (cB a) True) (Eq (cnotB a) True)
% 9.35/9.56 Clause #87 (by superposition #[85, 76]): ∀ (a : Iota), Or (Eq (cB a) True) (Or (Eq (cnotAorB a) True) (Or (Eq True False) (Eq (cnotA a) False)))
% 9.35/9.56 Clause #88 (by clausification #[75]): ∀ (a : Iota), Or (Eq (cnotAorB a) False) (Eq (cnotA a) True)
% 9.35/9.56 Clause #89 (by clausification #[75]): ∀ (a : Iota), Or (Eq (cnotAorB a) False) (Eq (cnotB a) True)
% 9.35/9.56 Clause #90 (by superposition #[88, 69]): ∀ (a : Iota), Or (Eq (cnotA a) True) (Or (Eq False True) (Eq (cAorB a) True))
% 9.35/9.56 Clause #91 (by superposition #[89, 69]): ∀ (a : Iota), Or (Eq (cnotB a) True) (Or (Eq False True) (Eq (cAorB a) True))
% 9.35/9.56 Clause #92 (by clausification #[90]): ∀ (a : Iota), Or (Eq (cnotA a) True) (Eq (cAorB a) True)
% 9.35/9.56 Clause #93 (by superposition #[92, 40]): ∀ (a a_1 : Iota), Or (Eq (cAorB a) True) (Or (Eq True False) (Or (Eq (rq a a_1) False) (Eq (cNothing a_1) True)))
% 9.35/9.56 Clause #94 (by clausification #[91]): ∀ (a : Iota), Or (Eq (cnotB a) True) (Eq (cAorB a) True)
% 9.35/9.56 Clause #95 (by superposition #[94, 60]): ∀ (a a_1 : Iota), Or (Eq (cAorB a) True) (Or (Eq True False) (Or (Eq (rr a a_1) False) (Eq (cNothing a_1) True)))
% 9.35/9.56 Clause #97 (by betaEtaReduce #[6]): Eq (∀ (X : Iota), cNothing X → Not (Exists (rp X))) True
% 9.35/9.56 Clause #98 (by clausification #[97]): ∀ (a : Iota), Eq (cNothing a → Not (Exists (rp a))) True
% 9.35/9.56 Clause #99 (by clausification #[98]): ∀ (a : Iota), Or (Eq (cNothing a) False) (Eq (Not (Exists (rp a))) True)
% 9.35/9.56 Clause #100 (by clausification #[99]): ∀ (a : Iota), Or (Eq (cNothing a) False) (Eq (Exists (rp a)) False)
% 9.35/9.56 Clause #101 (by clausification #[100]): ∀ (a a_1 : Iota), Or (Eq (cNothing a) False) (Eq (rp a a_1) False)
% 9.35/9.56 Clause #102 (by clausification #[87]): ∀ (a : Iota), Or (Eq (cB a) True) (Or (Eq (cnotAorB a) True) (Eq (cnotA a) False))
% 9.35/9.56 Clause #106 (by clausification #[95]): ∀ (a a_1 : Iota), Or (Eq (cAorB a) True) (Or (Eq (rr a a_1) False) (Eq (cNothing a_1) True))
% 9.35/9.56 Clause #109 (by clausification #[11]): Eq
% 9.35/9.56 (And
% 9.35/9.56 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 9.35/9.56 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 9.35/9.56 (∀ (X : Iota), Iff (cAorB X) (Or (cB X) (cA X))))
% 9.35/9.56 False
% 9.35/9.56 Clause #110 (by clausification #[109]): Or
% 9.35/9.56 (Eq
% 9.35/9.56 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 9.35/9.56 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 9.35/9.56 False)
% 9.35/9.56 (Eq (∀ (X : Iota), Iff (cAorB X) (Or (cB X) (cA X))) False)
% 9.35/9.56 Clause #111 (by clausification #[110]): Or (Eq (∀ (X : Iota), Iff (cAorB X) (Or (cB X) (cA X))) False)
% 9.35/9.56 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False)
% 9.35/9.56 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False))
% 9.42/9.58 Clause #112 (by clausification #[111]): ∀ (a : Iota),
% 9.42/9.58 Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False)
% 9.42/9.58 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)
% 9.42/9.58 (Eq (Not (Iff (cAorB (skS.0 4 a)) (Or (cB (skS.0 4 a)) (cA (skS.0 4 a))))) True))
% 9.42/9.58 Clause #113 (by clausification #[112]): ∀ (a a_1 : Iota),
% 9.42/9.58 Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)
% 9.42/9.58 (Or (Eq (Not (Iff (cAorB (skS.0 4 a)) (Or (cB (skS.0 4 a)) (cA (skS.0 4 a))))) True)
% 9.42/9.58 (Eq (Not (And (cowlThing (skS.0 5 a_1)) (Not (cowlNothing (skS.0 5 a_1))))) True))
% 9.42/9.58 Clause #114 (by clausification #[113]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.58 Or (Eq (Not (Iff (cAorB (skS.0 4 a)) (Or (cB (skS.0 4 a)) (cA (skS.0 4 a))))) True)
% 9.42/9.58 (Or (Eq (Not (And (cowlThing (skS.0 5 a_1)) (Not (cowlNothing (skS.0 5 a_1))))) True)
% 9.42/9.58 (Eq (Not (Iff (xsd_string (skS.0 6 a_2)) (Not (xsd_integer (skS.0 6 a_2))))) True))
% 9.42/9.58 Clause #115 (by clausification #[114]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.58 Or (Eq (Not (And (cowlThing (skS.0 5 a)) (Not (cowlNothing (skS.0 5 a))))) True)
% 9.42/9.58 (Or (Eq (Not (Iff (xsd_string (skS.0 6 a_1)) (Not (xsd_integer (skS.0 6 a_1))))) True)
% 9.42/9.58 (Eq (Iff (cAorB (skS.0 4 a_2)) (Or (cB (skS.0 4 a_2)) (cA (skS.0 4 a_2)))) False))
% 9.42/9.58 Clause #116 (by clausification #[115]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.58 Or (Eq (Not (Iff (xsd_string (skS.0 6 a)) (Not (xsd_integer (skS.0 6 a))))) True)
% 9.42/9.58 (Or (Eq (Iff (cAorB (skS.0 4 a_1)) (Or (cB (skS.0 4 a_1)) (cA (skS.0 4 a_1)))) False)
% 9.42/9.58 (Eq (And (cowlThing (skS.0 5 a_2)) (Not (cowlNothing (skS.0 5 a_2)))) False))
% 9.42/9.58 Clause #117 (by clausification #[116]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.58 Or (Eq (Iff (cAorB (skS.0 4 a)) (Or (cB (skS.0 4 a)) (cA (skS.0 4 a)))) False)
% 9.42/9.58 (Or (Eq (And (cowlThing (skS.0 5 a_1)) (Not (cowlNothing (skS.0 5 a_1)))) False)
% 9.42/9.58 (Eq (Iff (xsd_string (skS.0 6 a_2)) (Not (xsd_integer (skS.0 6 a_2)))) False))
% 9.42/9.58 Clause #118 (by clausification #[117]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.58 Or (Eq (And (cowlThing (skS.0 5 a)) (Not (cowlNothing (skS.0 5 a)))) False)
% 9.42/9.59 (Or (Eq (Iff (xsd_string (skS.0 6 a_1)) (Not (xsd_integer (skS.0 6 a_1)))) False)
% 9.42/9.59 (Or (Eq (cAorB (skS.0 4 a_2)) False) (Eq (Or (cB (skS.0 4 a_2)) (cA (skS.0 4 a_2))) False)))
% 9.42/9.59 Clause #119 (by clausification #[117]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.59 Or (Eq (And (cowlThing (skS.0 5 a)) (Not (cowlNothing (skS.0 5 a)))) False)
% 9.42/9.59 (Or (Eq (Iff (xsd_string (skS.0 6 a_1)) (Not (xsd_integer (skS.0 6 a_1)))) False)
% 9.42/9.59 (Or (Eq (cAorB (skS.0 4 a_2)) True) (Eq (Or (cB (skS.0 4 a_2)) (cA (skS.0 4 a_2))) True)))
% 9.42/9.59 Clause #120 (by clausification #[118]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.59 Or (Eq (Iff (xsd_string (skS.0 6 a)) (Not (xsd_integer (skS.0 6 a)))) False)
% 9.42/9.59 (Or (Eq (cAorB (skS.0 4 a_1)) False)
% 9.42/9.59 (Or (Eq (Or (cB (skS.0 4 a_1)) (cA (skS.0 4 a_1))) False)
% 9.42/9.59 (Or (Eq (cowlThing (skS.0 5 a_2)) False) (Eq (Not (cowlNothing (skS.0 5 a_2))) False))))
% 9.42/9.59 Clause #121 (by clausification #[120]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.59 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.42/9.59 (Or (Eq (Or (cB (skS.0 4 a)) (cA (skS.0 4 a))) False)
% 9.42/9.59 (Or (Eq (cowlThing (skS.0 5 a_1)) False)
% 9.42/9.59 (Or (Eq (Not (cowlNothing (skS.0 5 a_1))) False)
% 9.42/9.59 (Or (Eq (xsd_string (skS.0 6 a_2)) False) (Eq (Not (xsd_integer (skS.0 6 a_2))) False)))))
% 9.42/9.59 Clause #122 (by clausification #[120]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.59 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.42/9.59 (Or (Eq (Or (cB (skS.0 4 a)) (cA (skS.0 4 a))) False)
% 9.42/9.59 (Or (Eq (cowlThing (skS.0 5 a_1)) False)
% 9.42/9.59 (Or (Eq (Not (cowlNothing (skS.0 5 a_1))) False)
% 9.42/9.59 (Or (Eq (xsd_string (skS.0 6 a_2)) True) (Eq (Not (xsd_integer (skS.0 6 a_2))) True)))))
% 9.42/9.59 Clause #123 (by clausification #[121]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.59 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.42/9.59 (Or (Eq (cowlThing (skS.0 5 a_1)) False)
% 9.42/9.59 (Or (Eq (Not (cowlNothing (skS.0 5 a_1))) False)
% 9.42/9.59 (Or (Eq (xsd_string (skS.0 6 a_2)) False)
% 9.42/9.59 (Or (Eq (Not (xsd_integer (skS.0 6 a_2))) False) (Eq (cA (skS.0 4 a)) False)))))
% 9.42/9.59 Clause #124 (by clausification #[121]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.59 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.42/9.59 (Or (Eq (cowlThing (skS.0 5 a_1)) False)
% 9.42/9.61 (Or (Eq (Not (cowlNothing (skS.0 5 a_1))) False)
% 9.42/9.61 (Or (Eq (xsd_string (skS.0 6 a_2)) False)
% 9.42/9.61 (Or (Eq (Not (xsd_integer (skS.0 6 a_2))) False) (Eq (cB (skS.0 4 a)) False)))))
% 9.42/9.61 Clause #125 (by clausification #[123]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.61 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.42/9.61 (Or (Eq (cowlThing (skS.0 5 a_1)) False)
% 9.42/9.61 (Or (Eq (xsd_string (skS.0 6 a_2)) False)
% 9.42/9.61 (Or (Eq (Not (xsd_integer (skS.0 6 a_2))) False)
% 9.42/9.61 (Or (Eq (cA (skS.0 4 a)) False) (Eq (cowlNothing (skS.0 5 a_1)) True)))))
% 9.42/9.61 Clause #126 (by clausification #[125]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.61 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.42/9.61 (Or (Eq (cowlThing (skS.0 5 a_1)) False)
% 9.42/9.61 (Or (Eq (xsd_string (skS.0 6 a_2)) False)
% 9.42/9.61 (Or (Eq (cA (skS.0 4 a)) False)
% 9.42/9.61 (Or (Eq (cowlNothing (skS.0 5 a_1)) True) (Eq (xsd_integer (skS.0 6 a_2)) True)))))
% 9.42/9.61 Clause #127 (by forward demodulation #[126, 21]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.61 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.42/9.61 (Or (Eq True False)
% 9.42/9.61 (Or (Eq (xsd_string (skS.0 6 a_1)) False)
% 9.42/9.61 (Or (Eq (cA (skS.0 4 a)) False)
% 9.42/9.61 (Or (Eq (cowlNothing (skS.0 5 a_2)) True) (Eq (xsd_integer (skS.0 6 a_1)) True)))))
% 9.42/9.61 Clause #128 (by clausification #[127]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.61 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.42/9.61 (Or (Eq (xsd_string (skS.0 6 a_1)) False)
% 9.42/9.61 (Or (Eq (cA (skS.0 4 a)) False) (Or (Eq (cowlNothing (skS.0 5 a_2)) True) (Eq (xsd_integer (skS.0 6 a_1)) True))))
% 9.42/9.61 Clause #129 (by clausification #[93]): ∀ (a a_1 : Iota), Or (Eq (cAorB a) True) (Or (Eq (rq a a_1) False) (Eq (cNothing a_1) True))
% 9.42/9.61 Clause #132 (by clausification #[25]): ∀ (a a_1 : Iota), Or (Eq (cA a) False) (Eq (And (rq a (skS.0 7 a a_1)) (cowlThing (skS.0 7 a a_1))) True)
% 9.42/9.61 Clause #134 (by clausification #[132]): ∀ (a a_1 : Iota), Or (Eq (cA a) False) (Eq (rq a (skS.0 7 a a_1)) True)
% 9.42/9.61 Clause #135 (by clausification #[79]): ∀ (a a_1 : Iota), Or (Eq (cB a) False) (Eq (And (rr a (skS.0 8 a a_1)) (cowlThing (skS.0 8 a a_1))) True)
% 9.42/9.61 Clause #137 (by clausification #[135]): ∀ (a a_1 : Iota), Or (Eq (cB a) False) (Eq (rr a (skS.0 8 a a_1)) True)
% 9.42/9.61 Clause #138 (by clausification #[54]): ∀ (a a_1 : Iota), Or (Eq (cAorB a) False) (Eq (And (rs a (skS.0 9 a a_1)) (cowlThing (skS.0 9 a a_1))) True)
% 9.42/9.61 Clause #140 (by clausification #[138]): ∀ (a a_1 : Iota), Or (Eq (cAorB a) False) (Eq (rs a (skS.0 9 a a_1)) True)
% 9.42/9.61 Clause #147 (by clausification #[124]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.61 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.42/9.61 (Or (Eq (cowlThing (skS.0 5 a_1)) False)
% 9.42/9.61 (Or (Eq (xsd_string (skS.0 6 a_2)) False)
% 9.42/9.61 (Or (Eq (Not (xsd_integer (skS.0 6 a_2))) False)
% 9.42/9.61 (Or (Eq (cB (skS.0 4 a)) False) (Eq (cowlNothing (skS.0 5 a_1)) True)))))
% 9.42/9.61 Clause #148 (by clausification #[147]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.61 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.42/9.61 (Or (Eq (cowlThing (skS.0 5 a_1)) False)
% 9.42/9.61 (Or (Eq (xsd_string (skS.0 6 a_2)) False)
% 9.42/9.61 (Or (Eq (cB (skS.0 4 a)) False)
% 9.42/9.61 (Or (Eq (cowlNothing (skS.0 5 a_1)) True) (Eq (xsd_integer (skS.0 6 a_2)) True)))))
% 9.42/9.61 Clause #149 (by forward demodulation #[148, 21]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.61 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.42/9.61 (Or (Eq True False)
% 9.42/9.61 (Or (Eq (xsd_string (skS.0 6 a_1)) False)
% 9.42/9.61 (Or (Eq (cB (skS.0 4 a)) False)
% 9.42/9.61 (Or (Eq (cowlNothing (skS.0 5 a_2)) True) (Eq (xsd_integer (skS.0 6 a_1)) True)))))
% 9.42/9.61 Clause #150 (by clausification #[149]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.61 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.42/9.61 (Or (Eq (xsd_string (skS.0 6 a_1)) False)
% 9.42/9.61 (Or (Eq (cB (skS.0 4 a)) False) (Or (Eq (cowlNothing (skS.0 5 a_2)) True) (Eq (xsd_integer (skS.0 6 a_1)) True))))
% 9.42/9.61 Clause #151 (by clausification #[122]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.61 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.42/9.61 (Or (Eq (cowlThing (skS.0 5 a_1)) False)
% 9.42/9.61 (Or (Eq (Not (cowlNothing (skS.0 5 a_1))) False)
% 9.42/9.61 (Or (Eq (xsd_string (skS.0 6 a_2)) True)
% 9.42/9.61 (Or (Eq (Not (xsd_integer (skS.0 6 a_2))) True) (Eq (cA (skS.0 4 a)) False)))))
% 9.42/9.61 Clause #152 (by clausification #[122]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.61 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.42/9.61 (Or (Eq (cowlThing (skS.0 5 a_1)) False)
% 9.42/9.64 (Or (Eq (Not (cowlNothing (skS.0 5 a_1))) False)
% 9.42/9.64 (Or (Eq (xsd_string (skS.0 6 a_2)) True)
% 9.42/9.64 (Or (Eq (Not (xsd_integer (skS.0 6 a_2))) True) (Eq (cB (skS.0 4 a)) False)))))
% 9.42/9.64 Clause #153 (by clausification #[151]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.64 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.42/9.64 (Or (Eq (cowlThing (skS.0 5 a_1)) False)
% 9.42/9.64 (Or (Eq (xsd_string (skS.0 6 a_2)) True)
% 9.42/9.64 (Or (Eq (Not (xsd_integer (skS.0 6 a_2))) True)
% 9.42/9.64 (Or (Eq (cA (skS.0 4 a)) False) (Eq (cowlNothing (skS.0 5 a_1)) True)))))
% 9.42/9.64 Clause #154 (by clausification #[153]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.64 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.42/9.64 (Or (Eq (cowlThing (skS.0 5 a_1)) False)
% 9.42/9.64 (Or (Eq (xsd_string (skS.0 6 a_2)) True)
% 9.42/9.64 (Or (Eq (cA (skS.0 4 a)) False)
% 9.42/9.64 (Or (Eq (cowlNothing (skS.0 5 a_1)) True) (Eq (xsd_integer (skS.0 6 a_2)) False)))))
% 9.42/9.64 Clause #155 (by forward demodulation #[154, 21]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.64 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.42/9.64 (Or (Eq True False)
% 9.42/9.64 (Or (Eq (xsd_string (skS.0 6 a_1)) True)
% 9.42/9.64 (Or (Eq (cA (skS.0 4 a)) False)
% 9.42/9.64 (Or (Eq (cowlNothing (skS.0 5 a_2)) True) (Eq (xsd_integer (skS.0 6 a_1)) False)))))
% 9.42/9.64 Clause #156 (by clausification #[155]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.64 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.42/9.64 (Or (Eq (xsd_string (skS.0 6 a_1)) True)
% 9.42/9.64 (Or (Eq (cA (skS.0 4 a)) False)
% 9.42/9.64 (Or (Eq (cowlNothing (skS.0 5 a_2)) True) (Eq (xsd_integer (skS.0 6 a_1)) False))))
% 9.42/9.64 Clause #157 (by clausification #[119]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.64 Or (Eq (Iff (xsd_string (skS.0 6 a)) (Not (xsd_integer (skS.0 6 a)))) False)
% 9.42/9.64 (Or (Eq (cAorB (skS.0 4 a_1)) True)
% 9.42/9.64 (Or (Eq (Or (cB (skS.0 4 a_1)) (cA (skS.0 4 a_1))) True)
% 9.42/9.64 (Or (Eq (cowlThing (skS.0 5 a_2)) False) (Eq (Not (cowlNothing (skS.0 5 a_2))) False))))
% 9.42/9.64 Clause #158 (by clausification #[157]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.64 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.64 (Or (Eq (Or (cB (skS.0 4 a)) (cA (skS.0 4 a))) True)
% 9.42/9.64 (Or (Eq (cowlThing (skS.0 5 a_1)) False)
% 9.42/9.64 (Or (Eq (Not (cowlNothing (skS.0 5 a_1))) False)
% 9.42/9.64 (Or (Eq (xsd_string (skS.0 6 a_2)) False) (Eq (Not (xsd_integer (skS.0 6 a_2))) False)))))
% 9.42/9.64 Clause #159 (by clausification #[157]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.64 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.64 (Or (Eq (Or (cB (skS.0 4 a)) (cA (skS.0 4 a))) True)
% 9.42/9.64 (Or (Eq (cowlThing (skS.0 5 a_1)) False)
% 9.42/9.64 (Or (Eq (Not (cowlNothing (skS.0 5 a_1))) False)
% 9.42/9.64 (Or (Eq (xsd_string (skS.0 6 a_2)) True) (Eq (Not (xsd_integer (skS.0 6 a_2))) True)))))
% 9.42/9.64 Clause #160 (by clausification #[158]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.64 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.64 (Or (Eq (cowlThing (skS.0 5 a_1)) False)
% 9.42/9.64 (Or (Eq (Not (cowlNothing (skS.0 5 a_1))) False)
% 9.42/9.64 (Or (Eq (xsd_string (skS.0 6 a_2)) False)
% 9.42/9.64 (Or (Eq (Not (xsd_integer (skS.0 6 a_2))) False)
% 9.42/9.64 (Or (Eq (cB (skS.0 4 a)) True) (Eq (cA (skS.0 4 a)) True))))))
% 9.42/9.64 Clause #161 (by clausification #[160]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.64 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.64 (Or (Eq (cowlThing (skS.0 5 a_1)) False)
% 9.42/9.64 (Or (Eq (xsd_string (skS.0 6 a_2)) False)
% 9.42/9.64 (Or (Eq (Not (xsd_integer (skS.0 6 a_2))) False)
% 9.42/9.64 (Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (cA (skS.0 4 a)) True) (Eq (cowlNothing (skS.0 5 a_1)) True))))))
% 9.42/9.64 Clause #162 (by clausification #[161]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.64 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.64 (Or (Eq (cowlThing (skS.0 5 a_1)) False)
% 9.42/9.64 (Or (Eq (xsd_string (skS.0 6 a_2)) False)
% 9.42/9.64 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.64 (Or (Eq (cA (skS.0 4 a)) True)
% 9.42/9.64 (Or (Eq (cowlNothing (skS.0 5 a_1)) True) (Eq (xsd_integer (skS.0 6 a_2)) True))))))
% 9.42/9.64 Clause #163 (by forward demodulation #[162, 21]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.64 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.64 (Or (Eq True False)
% 9.42/9.64 (Or (Eq (xsd_string (skS.0 6 a_1)) False)
% 9.42/9.64 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.64 (Or (Eq (cA (skS.0 4 a)) True)
% 9.42/9.64 (Or (Eq (cowlNothing (skS.0 5 a_2)) True) (Eq (xsd_integer (skS.0 6 a_1)) True))))))
% 9.42/9.64 Clause #164 (by clausification #[163]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.64 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (xsd_string (skS.0 6 a_1)) False)
% 9.42/9.67 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (cA (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (cowlNothing (skS.0 5 a_2)) True) (Eq (xsd_integer (skS.0 6 a_1)) True)))))
% 9.42/9.67 Clause #165 (by superposition #[164, 15]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.67 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (cA (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (cowlNothing (skS.0 5 a_1)) True)
% 9.42/9.67 (Or (Eq (xsd_integer (skS.0 6 a_2)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 6 a_2)) True))))))
% 9.42/9.67 Clause #166 (by clausification #[165]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.67 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (cA (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (cowlNothing (skS.0 5 a_1)) True)
% 9.42/9.67 (Or (Eq (xsd_integer (skS.0 6 a_2)) True) (Eq (xsd_integer (skS.0 6 a_2)) True)))))
% 9.42/9.67 Clause #167 (by eliminate duplicate literals #[166]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.67 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (cA (skS.0 4 a)) True) (Or (Eq (cowlNothing (skS.0 5 a_1)) True) (Eq (xsd_integer (skS.0 6 a_2)) True))))
% 9.42/9.67 Clause #169 (by superposition #[167, 22]): ∀ (a a_1 : Iota),
% 9.42/9.67 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (cA (skS.0 4 a)) True) (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Eq True False))))
% 9.42/9.67 Clause #170 (by clausification #[169]): ∀ (a a_1 : Iota),
% 9.42/9.67 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (cA (skS.0 4 a)) True) (Eq (xsd_integer (skS.0 6 a_1)) True)))
% 9.42/9.67 Clause #171 (by superposition #[170, 134]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.67 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.42/9.67 (Or (Eq True False) (Eq (rq (skS.0 4 a) (skS.0 7 (skS.0 4 a) a_2)) True))))
% 9.42/9.67 Clause #172 (by clausification #[171]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.67 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Eq (rq (skS.0 4 a) (skS.0 7 (skS.0 4 a) a_2)) True)))
% 9.42/9.67 Clause #174 (by superposition #[172, 129]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.67 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.42/9.67 (Or (Eq (cAorB (skS.0 4 a)) True) (Or (Eq True False) (Eq (cNothing (skS.0 7 (skS.0 4 a) a_2)) True)))))
% 9.42/9.67 Clause #176 (by clausification #[174]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.67 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.42/9.67 (Or (Eq (cAorB (skS.0 4 a)) True) (Eq (cNothing (skS.0 7 (skS.0 4 a) a_2)) True))))
% 9.42/9.67 Clause #177 (by eliminate duplicate literals #[176]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.67 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Eq (cNothing (skS.0 7 (skS.0 4 a) a_2)) True)))
% 9.42/9.67 Clause #178 (by superposition #[177, 44]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.42/9.67 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.42/9.67 (Or (Eq True False) (Eq (rp (skS.0 7 (skS.0 4 a) a_2) (skS.0 1 (skS.0 7 (skS.0 4 a) a_2) a_3)) True))))
% 9.42/9.67 Clause #179 (by superposition #[177, 101]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.42/9.67 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.67 (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Or (Eq True False) (Eq (rp (skS.0 7 (skS.0 4 a) a_2) a_3) False))))
% 9.42/9.67 Clause #180 (by clausification #[152]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.67 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.42/9.67 (Or (Eq (cowlThing (skS.0 5 a_1)) False)
% 9.42/9.67 (Or (Eq (xsd_string (skS.0 6 a_2)) True)
% 9.42/9.67 (Or (Eq (Not (xsd_integer (skS.0 6 a_2))) True)
% 9.42/9.67 (Or (Eq (cB (skS.0 4 a)) False) (Eq (cowlNothing (skS.0 5 a_1)) True)))))
% 9.42/9.67 Clause #181 (by clausification #[180]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.67 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.42/9.67 (Or (Eq (cowlThing (skS.0 5 a_1)) False)
% 9.42/9.67 (Or (Eq (xsd_string (skS.0 6 a_2)) True)
% 9.42/9.67 (Or (Eq (cB (skS.0 4 a)) False)
% 9.42/9.67 (Or (Eq (cowlNothing (skS.0 5 a_1)) True) (Eq (xsd_integer (skS.0 6 a_2)) False)))))
% 9.42/9.70 Clause #182 (by forward demodulation #[181, 21]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.70 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.42/9.70 (Or (Eq True False)
% 9.42/9.70 (Or (Eq (xsd_string (skS.0 6 a_1)) True)
% 9.42/9.70 (Or (Eq (cB (skS.0 4 a)) False)
% 9.42/9.70 (Or (Eq (cowlNothing (skS.0 5 a_2)) True) (Eq (xsd_integer (skS.0 6 a_1)) False)))))
% 9.42/9.70 Clause #183 (by clausification #[182]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.70 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.42/9.70 (Or (Eq (xsd_string (skS.0 6 a_1)) True)
% 9.42/9.70 (Or (Eq (cB (skS.0 4 a)) False)
% 9.42/9.70 (Or (Eq (cowlNothing (skS.0 5 a_2)) True) (Eq (xsd_integer (skS.0 6 a_1)) False))))
% 9.42/9.70 Clause #184 (by clausification #[179]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.42/9.70 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Eq (rp (skS.0 7 (skS.0 4 a) a_2) a_3) False)))
% 9.42/9.70 Clause #186 (by clausification #[159]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.70 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (cowlThing (skS.0 5 a_1)) False)
% 9.42/9.70 (Or (Eq (Not (cowlNothing (skS.0 5 a_1))) False)
% 9.42/9.70 (Or (Eq (xsd_string (skS.0 6 a_2)) True)
% 9.42/9.70 (Or (Eq (Not (xsd_integer (skS.0 6 a_2))) True) (Or (Eq (cB (skS.0 4 a)) True) (Eq (cA (skS.0 4 a)) True))))))
% 9.42/9.70 Clause #187 (by clausification #[186]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.70 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (cowlThing (skS.0 5 a_1)) False)
% 9.42/9.70 (Or (Eq (xsd_string (skS.0 6 a_2)) True)
% 9.42/9.70 (Or (Eq (Not (xsd_integer (skS.0 6 a_2))) True)
% 9.42/9.70 (Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (cA (skS.0 4 a)) True) (Eq (cowlNothing (skS.0 5 a_1)) True))))))
% 9.42/9.70 Clause #188 (by clausification #[187]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.70 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (cowlThing (skS.0 5 a_1)) False)
% 9.42/9.70 (Or (Eq (xsd_string (skS.0 6 a_2)) True)
% 9.42/9.70 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (cA (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (cowlNothing (skS.0 5 a_1)) True) (Eq (xsd_integer (skS.0 6 a_2)) False))))))
% 9.42/9.70 Clause #189 (by forward demodulation #[188, 21]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.70 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq True False)
% 9.42/9.70 (Or (Eq (xsd_string (skS.0 6 a_1)) True)
% 9.42/9.70 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (cA (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (cowlNothing (skS.0 5 a_2)) True) (Eq (xsd_integer (skS.0 6 a_1)) False))))))
% 9.42/9.70 Clause #190 (by clausification #[189]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.70 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (xsd_string (skS.0 6 a_1)) True)
% 9.42/9.70 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (cA (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (cowlNothing (skS.0 5 a_2)) True) (Eq (xsd_integer (skS.0 6 a_1)) False)))))
% 9.42/9.70 Clause #191 (by superposition #[190, 170]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.42/9.70 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (xsd_string (skS.0 6 a_1)) True)
% 9.42/9.70 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (cA (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (cowlNothing (skS.0 5 a_2)) True)
% 9.42/9.70 (Or (Eq (cAorB (skS.0 4 a_3)) True)
% 9.42/9.70 (Or (Eq (cB (skS.0 4 a_3)) True) (Or (Eq (cA (skS.0 4 a_3)) True) (Eq False True))))))))
% 9.42/9.70 Clause #194 (by clausification #[178]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.42/9.70 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.42/9.70 (Eq (rp (skS.0 7 (skS.0 4 a) a_2) (skS.0 1 (skS.0 7 (skS.0 4 a) a_2) a_3)) True)))
% 9.42/9.70 Clause #196 (by superposition #[194, 184]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.70 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.42/9.70 (Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (xsd_integer (skS.0 6 a_2)) True) (Eq True False))))))
% 9.42/9.70 Clause #197 (by clausification #[196]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.70 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.42/9.70 (Or (Eq (cAorB (skS.0 4 a)) True) (Or (Eq (cB (skS.0 4 a)) True) (Eq (xsd_integer (skS.0 6 a_2)) True)))))
% 9.42/9.70 Clause #198 (by eliminate duplicate literals #[197]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.70 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.70 (Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Eq (xsd_integer (skS.0 6 a_2)) True)))
% 9.42/9.73 Clause #205 (by equality factoring #[198]): ∀ (a a_1 : Iota),
% 9.42/9.73 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.73 (Or (Eq (cB (skS.0 4 a)) True) (Or (Ne True True) (Eq (xsd_integer (skS.0 6 a_1)) True)))
% 9.42/9.73 Clause #206 (by clausification #[191]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.42/9.73 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.73 (Or (Eq (xsd_string (skS.0 6 a_1)) True)
% 9.42/9.73 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.73 (Or (Eq (cA (skS.0 4 a)) True)
% 9.42/9.73 (Or (Eq (cowlNothing (skS.0 5 a_2)) True)
% 9.42/9.73 (Or (Eq (cAorB (skS.0 4 a_3)) True) (Or (Eq (cB (skS.0 4 a_3)) True) (Eq (cA (skS.0 4 a_3)) True)))))))
% 9.42/9.73 Clause #211 (by equality factoring #[206]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.73 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.73 (Or (Eq (xsd_string (skS.0 6 a_1)) True)
% 9.42/9.73 (Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.73 (Or (Eq (cowlNothing (skS.0 5 a_2)) True)
% 9.42/9.73 (Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.73 (Or (Eq (cB (skS.0 4 a)) True) (Or (Ne True True) (Eq (cA (skS.0 4 a)) True)))))))
% 9.42/9.73 Clause #212 (by clausification #[205]): ∀ (a a_1 : Iota),
% 9.42/9.73 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.73 (Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Or (Eq True False) (Eq True False))))
% 9.42/9.73 Clause #214 (by clausification #[212]): ∀ (a a_1 : Iota),
% 9.42/9.73 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.42/9.73 (Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Eq True False)))
% 9.42/9.73 Clause #215 (by clausification #[214]): ∀ (a a_1 : Iota), Or (Eq (cAorB (skS.0 4 a)) True) (Or (Eq (cB (skS.0 4 a)) True) (Eq (xsd_integer (skS.0 6 a_1)) True))
% 9.42/9.73 Clause #216 (by superposition #[215, 128]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.42/9.73 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.73 (Or (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.42/9.73 (Or (Eq True False)
% 9.42/9.73 (Or (Eq (xsd_string (skS.0 6 a_2)) False)
% 9.42/9.73 (Or (Eq (cA (skS.0 4 a)) False)
% 9.42/9.73 (Or (Eq (cowlNothing (skS.0 5 a_3)) True) (Eq (xsd_integer (skS.0 6 a_2)) True))))))
% 9.42/9.73 Clause #220 (by superposition #[215, 140]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.73 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.73 (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Or (Eq True False) (Eq (rs (skS.0 4 a) (skS.0 9 (skS.0 4 a) a_2)) True)))
% 9.42/9.73 Clause #222 (by clausification #[220]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.73 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.73 (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Eq (rs (skS.0 4 a) (skS.0 9 (skS.0 4 a) a_2)) True))
% 9.42/9.73 Clause #234 (by clausification #[216]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.42/9.73 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.73 (Or (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.42/9.73 (Or (Eq (xsd_string (skS.0 6 a_2)) False)
% 9.42/9.73 (Or (Eq (cA (skS.0 4 a)) False)
% 9.42/9.73 (Or (Eq (cowlNothing (skS.0 5 a_3)) True) (Eq (xsd_integer (skS.0 6 a_2)) True)))))
% 9.42/9.73 Clause #237 (by superposition #[234, 15]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.42/9.73 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.73 (Or (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.42/9.73 (Or (Eq (cA (skS.0 4 a)) False)
% 9.42/9.73 (Or (Eq (cowlNothing (skS.0 5 a_2)) True)
% 9.42/9.73 (Or (Eq (xsd_integer (skS.0 6 a_3)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 6 a_3)) True))))))
% 9.42/9.73 Clause #238 (by clausification #[237]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.42/9.73 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.73 (Or (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.42/9.73 (Or (Eq (cA (skS.0 4 a)) False)
% 9.42/9.73 (Or (Eq (cowlNothing (skS.0 5 a_2)) True)
% 9.42/9.73 (Or (Eq (xsd_integer (skS.0 6 a_3)) True) (Eq (xsd_integer (skS.0 6 a_3)) True)))))
% 9.42/9.73 Clause #239 (by eliminate duplicate literals #[238]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.42/9.73 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.73 (Or (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.42/9.73 (Or (Eq (cA (skS.0 4 a)) False) (Or (Eq (cowlNothing (skS.0 5 a_2)) True) (Eq (xsd_integer (skS.0 6 a_3)) True))))
% 9.42/9.73 Clause #243 (by superposition #[239, 38]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.42/9.73 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.73 (Or (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.42/9.73 (Or (Eq (cowlNothing (skS.0 5 a_2)) True)
% 9.42/9.73 (Or (Eq (xsd_integer (skS.0 6 a_3)) True) (Or (Eq (cnotA (skS.0 4 a)) True) (Eq False True)))))
% 9.42/9.73 Clause #244 (by clausification #[243]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.42/9.73 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.73 (Or (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.42/9.76 (Or (Eq (cowlNothing (skS.0 5 a_2)) True)
% 9.42/9.76 (Or (Eq (xsd_integer (skS.0 6 a_3)) True) (Eq (cnotA (skS.0 4 a)) True))))
% 9.42/9.76 Clause #250 (by equality factoring #[244]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.76 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.76 (Or (Eq (cowlNothing (skS.0 5 a_1)) True)
% 9.42/9.76 (Or (Eq (cnotA (skS.0 4 a)) True) (Or (Ne True True) (Eq (xsd_integer (skS.0 6 a_2)) True))))
% 9.42/9.76 Clause #251 (by clausification #[250]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.76 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.76 (Or (Eq (cowlNothing (skS.0 5 a_1)) True)
% 9.42/9.76 (Or (Eq (cnotA (skS.0 4 a)) True)
% 9.42/9.76 (Or (Eq (xsd_integer (skS.0 6 a_2)) True) (Or (Eq True False) (Eq True False)))))
% 9.42/9.76 Clause #253 (by clausification #[251]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.76 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.76 (Or (Eq (cowlNothing (skS.0 5 a_1)) True)
% 9.42/9.76 (Or (Eq (cnotA (skS.0 4 a)) True) (Or (Eq (xsd_integer (skS.0 6 a_2)) True) (Eq True False))))
% 9.42/9.76 Clause #254 (by clausification #[253]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.76 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.76 (Or (Eq (cowlNothing (skS.0 5 a_1)) True) (Or (Eq (cnotA (skS.0 4 a)) True) (Eq (xsd_integer (skS.0 6 a_2)) True)))
% 9.42/9.76 Clause #255 (by superposition #[254, 22]): ∀ (a a_1 : Iota),
% 9.42/9.76 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.76 (Or (Eq (cnotA (skS.0 4 a)) True) (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Eq True False)))
% 9.42/9.76 Clause #266 (by clausification #[255]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (cnotA (skS.0 4 a)) True) (Eq (xsd_integer (skS.0 6 a_1)) True))
% 9.42/9.76 Clause #268 (by superposition #[266, 102]): ∀ (a a_1 : Iota),
% 9.42/9.76 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.76 (Or (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.42/9.76 (Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (cnotAorB (skS.0 4 a)) True) (Eq True False))))
% 9.42/9.76 Clause #274 (by clausification #[268]): ∀ (a a_1 : Iota),
% 9.42/9.76 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.76 (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Or (Eq (cB (skS.0 4 a)) True) (Eq (cnotAorB (skS.0 4 a)) True)))
% 9.42/9.76 Clause #275 (by eliminate duplicate literals #[274]): ∀ (a a_1 : Iota),
% 9.42/9.76 Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Eq (cnotAorB (skS.0 4 a)) True))
% 9.42/9.76 Clause #277 (by superposition #[275, 71]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.76 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.76 (Or (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.42/9.76 (Or (Eq True False) (Or (Eq (rs (skS.0 4 a) a_2) False) (Eq (cNothing a_2) True))))
% 9.42/9.76 Clause #287 (by clausification #[277]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.76 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.76 (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Or (Eq (rs (skS.0 4 a) a_2) False) (Eq (cNothing a_2) True)))
% 9.42/9.76 Clause #288 (by superposition #[287, 222]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.42/9.76 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.76 (Or (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.42/9.76 (Or (Eq (cNothing (skS.0 9 (skS.0 4 a) a_2)) True)
% 9.42/9.76 (Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (xsd_integer (skS.0 6 a_3)) True) (Eq False True)))))
% 9.42/9.76 Clause #299 (by clausification #[288]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.42/9.76 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.76 (Or (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.42/9.76 (Or (Eq (cNothing (skS.0 9 (skS.0 4 a) a_2)) True)
% 9.42/9.76 (Or (Eq (cB (skS.0 4 a)) True) (Eq (xsd_integer (skS.0 6 a_3)) True))))
% 9.42/9.76 Clause #300 (by eliminate duplicate literals #[299]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.42/9.76 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.76 (Or (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.42/9.76 (Or (Eq (cNothing (skS.0 9 (skS.0 4 a) a_2)) True) (Eq (xsd_integer (skS.0 6 a_3)) True)))
% 9.42/9.76 Clause #305 (by equality factoring #[300]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.76 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.76 (Or (Eq (cNothing (skS.0 9 (skS.0 4 a) a_1)) True) (Or (Ne True True) (Eq (xsd_integer (skS.0 6 a_2)) True)))
% 9.42/9.76 Clause #307 (by clausification #[305]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.76 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.76 (Or (Eq (cNothing (skS.0 9 (skS.0 4 a) a_1)) True)
% 9.42/9.76 (Or (Eq (xsd_integer (skS.0 6 a_2)) True) (Or (Eq True False) (Eq True False))))
% 9.42/9.76 Clause #309 (by clausification #[307]): ∀ (a a_1 a_2 : Iota),
% 9.42/9.76 Or (Eq (cB (skS.0 4 a)) True)
% 9.42/9.76 (Or (Eq (cNothing (skS.0 9 (skS.0 4 a) a_1)) True) (Or (Eq (xsd_integer (skS.0 6 a_2)) True) (Eq True False)))
% 9.42/9.76 Clause #310 (by clausification #[309]): ∀ (a a_1 a_2 : Iota),
% 9.62/9.78 Or (Eq (cB (skS.0 4 a)) True)
% 9.62/9.78 (Or (Eq (cNothing (skS.0 9 (skS.0 4 a) a_1)) True) (Eq (xsd_integer (skS.0 6 a_2)) True))
% 9.62/9.78 Clause #311 (by superposition #[310, 44]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.62/9.78 Or (Eq (cB (skS.0 4 a)) True)
% 9.62/9.78 (Or (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.62/9.78 (Or (Eq True False) (Eq (rp (skS.0 9 (skS.0 4 a) a_2) (skS.0 1 (skS.0 9 (skS.0 4 a) a_2) a_3)) True)))
% 9.62/9.78 Clause #312 (by superposition #[310, 101]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.62/9.78 Or (Eq (cB (skS.0 4 a)) True)
% 9.62/9.78 (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Or (Eq True False) (Eq (rp (skS.0 9 (skS.0 4 a) a_2) a_3) False)))
% 9.62/9.78 Clause #314 (by clausification #[312]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.62/9.78 Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Eq (rp (skS.0 9 (skS.0 4 a) a_2) a_3) False))
% 9.62/9.78 Clause #328 (by clausification #[311]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.62/9.78 Or (Eq (cB (skS.0 4 a)) True)
% 9.62/9.78 (Or (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.62/9.78 (Eq (rp (skS.0 9 (skS.0 4 a) a_2) (skS.0 1 (skS.0 9 (skS.0 4 a) a_2) a_3)) True))
% 9.62/9.78 Clause #330 (by superposition #[328, 314]): ∀ (a a_1 a_2 : Iota),
% 9.62/9.78 Or (Eq (cB (skS.0 4 a)) True)
% 9.62/9.78 (Or (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.62/9.78 (Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (xsd_integer (skS.0 6 a_2)) True) (Eq True False))))
% 9.62/9.78 Clause #331 (by clausification #[330]): ∀ (a a_1 a_2 : Iota),
% 9.62/9.78 Or (Eq (cB (skS.0 4 a)) True)
% 9.62/9.78 (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Or (Eq (cB (skS.0 4 a)) True) (Eq (xsd_integer (skS.0 6 a_2)) True)))
% 9.62/9.78 Clause #332 (by eliminate duplicate literals #[331]): ∀ (a a_1 a_2 : Iota),
% 9.62/9.78 Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Eq (xsd_integer (skS.0 6 a_2)) True))
% 9.62/9.78 Clause #335 (by equality factoring #[332]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 4 a)) True) (Or (Ne True True) (Eq (xsd_integer (skS.0 6 a_1)) True))
% 9.62/9.78 Clause #337 (by clausification #[335]): ∀ (a a_1 : Iota),
% 9.62/9.78 Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Or (Eq True False) (Eq True False)))
% 9.62/9.78 Clause #339 (by clausification #[337]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Eq True False))
% 9.62/9.78 Clause #340 (by clausification #[339]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 4 a)) True) (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.62/9.78 Clause #341 (by superposition #[340, 137]): ∀ (a a_1 a_2 : Iota),
% 9.62/9.78 Or (Eq (xsd_integer (skS.0 6 a)) True) (Or (Eq True False) (Eq (rr (skS.0 4 a_1) (skS.0 8 (skS.0 4 a_1) a_2)) True))
% 9.62/9.78 Clause #343 (by clausification #[341]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_integer (skS.0 6 a)) True) (Eq (rr (skS.0 4 a_1) (skS.0 8 (skS.0 4 a_1) a_2)) True)
% 9.62/9.78 Clause #346 (by superposition #[343, 106]): ∀ (a a_1 a_2 : Iota),
% 9.62/9.78 Or (Eq (xsd_integer (skS.0 6 a)) True)
% 9.62/9.78 (Or (Eq (cAorB (skS.0 4 a_1)) True) (Or (Eq True False) (Eq (cNothing (skS.0 8 (skS.0 4 a_1) a_2)) True)))
% 9.62/9.78 Clause #348 (by clausification #[346]): ∀ (a a_1 a_2 : Iota),
% 9.62/9.78 Or (Eq (xsd_integer (skS.0 6 a)) True)
% 9.62/9.78 (Or (Eq (cAorB (skS.0 4 a_1)) True) (Eq (cNothing (skS.0 8 (skS.0 4 a_1) a_2)) True))
% 9.62/9.78 Clause #350 (by superposition #[348, 44]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.62/9.78 Or (Eq (xsd_integer (skS.0 6 a)) True)
% 9.62/9.78 (Or (Eq (cAorB (skS.0 4 a_1)) True)
% 9.62/9.78 (Or (Eq True False) (Eq (rp (skS.0 8 (skS.0 4 a_1) a_2) (skS.0 1 (skS.0 8 (skS.0 4 a_1) a_2) a_3)) True)))
% 9.62/9.78 Clause #351 (by superposition #[348, 101]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.62/9.78 Or (Eq (xsd_integer (skS.0 6 a)) True)
% 9.62/9.78 (Or (Eq (cAorB (skS.0 4 a_1)) True) (Or (Eq True False) (Eq (rp (skS.0 8 (skS.0 4 a_1) a_2) a_3) False)))
% 9.62/9.78 Clause #353 (by clausification #[351]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.62/9.78 Or (Eq (xsd_integer (skS.0 6 a)) True)
% 9.62/9.78 (Or (Eq (cAorB (skS.0 4 a_1)) True) (Eq (rp (skS.0 8 (skS.0 4 a_1) a_2) a_3) False))
% 9.62/9.78 Clause #404 (by clausification #[350]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.62/9.78 Or (Eq (xsd_integer (skS.0 6 a)) True)
% 9.62/9.78 (Or (Eq (cAorB (skS.0 4 a_1)) True)
% 9.62/9.78 (Eq (rp (skS.0 8 (skS.0 4 a_1) a_2) (skS.0 1 (skS.0 8 (skS.0 4 a_1) a_2) a_3)) True))
% 9.62/9.78 Clause #406 (by superposition #[404, 353]): ∀ (a a_1 a_2 : Iota),
% 9.62/9.78 Or (Eq (xsd_integer (skS.0 6 a)) True)
% 9.62/9.81 (Or (Eq (cAorB (skS.0 4 a_1)) True)
% 9.62/9.81 (Or (Eq (xsd_integer (skS.0 6 a_2)) True) (Or (Eq (cAorB (skS.0 4 a_1)) True) (Eq True False))))
% 9.62/9.81 Clause #408 (by clausification #[406]): ∀ (a a_1 a_2 : Iota),
% 9.62/9.81 Or (Eq (xsd_integer (skS.0 6 a)) True)
% 9.62/9.81 (Or (Eq (cAorB (skS.0 4 a_1)) True) (Or (Eq (xsd_integer (skS.0 6 a_2)) True) (Eq (cAorB (skS.0 4 a_1)) True)))
% 9.62/9.81 Clause #409 (by eliminate duplicate literals #[408]): ∀ (a a_1 a_2 : Iota),
% 9.62/9.81 Or (Eq (xsd_integer (skS.0 6 a)) True) (Or (Eq (cAorB (skS.0 4 a_1)) True) (Eq (xsd_integer (skS.0 6 a_2)) True))
% 9.62/9.81 Clause #417 (by equality factoring #[409]): ∀ (a a_1 : Iota), Or (Eq (cAorB (skS.0 4 a)) True) (Or (Ne True True) (Eq (xsd_integer (skS.0 6 a_1)) True))
% 9.62/9.81 Clause #418 (by clausification #[417]): ∀ (a a_1 : Iota),
% 9.62/9.81 Or (Eq (cAorB (skS.0 4 a)) True) (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Or (Eq True False) (Eq True False)))
% 9.62/9.81 Clause #420 (by clausification #[418]): ∀ (a a_1 : Iota), Or (Eq (cAorB (skS.0 4 a)) True) (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Eq True False))
% 9.62/9.81 Clause #421 (by clausification #[420]): ∀ (a a_1 : Iota), Or (Eq (cAorB (skS.0 4 a)) True) (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.62/9.81 Clause #423 (by superposition #[421, 150]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.62/9.81 Or (Eq (xsd_integer (skS.0 6 a)) True)
% 9.62/9.81 (Or (Eq True False)
% 9.62/9.81 (Or (Eq (xsd_string (skS.0 6 a_1)) False)
% 9.62/9.81 (Or (Eq (cB (skS.0 4 a_2)) False)
% 9.62/9.81 (Or (Eq (cowlNothing (skS.0 5 a_3)) True) (Eq (xsd_integer (skS.0 6 a_1)) True)))))
% 9.62/9.81 Clause #443 (by clausification #[211]): ∀ (a a_1 a_2 : Iota),
% 9.62/9.81 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.62/9.81 (Or (Eq (xsd_string (skS.0 6 a_1)) True)
% 9.62/9.81 (Or (Eq (cB (skS.0 4 a)) True)
% 9.62/9.81 (Or (Eq (cowlNothing (skS.0 5 a_2)) True)
% 9.62/9.81 (Or (Eq (cAorB (skS.0 4 a)) True)
% 9.62/9.81 (Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (cA (skS.0 4 a)) True) (Or (Eq True False) (Eq True False))))))))
% 9.62/9.81 Clause #445 (by clausification #[443]): ∀ (a a_1 a_2 : Iota),
% 9.62/9.81 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.62/9.81 (Or (Eq (xsd_string (skS.0 6 a_1)) True)
% 9.62/9.81 (Or (Eq (cB (skS.0 4 a)) True)
% 9.62/9.81 (Or (Eq (cowlNothing (skS.0 5 a_2)) True)
% 9.62/9.81 (Or (Eq (cAorB (skS.0 4 a)) True)
% 9.62/9.81 (Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (cA (skS.0 4 a)) True) (Eq True False)))))))
% 9.62/9.81 Clause #446 (by clausification #[445]): ∀ (a a_1 a_2 : Iota),
% 9.62/9.81 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.62/9.81 (Or (Eq (xsd_string (skS.0 6 a_1)) True)
% 9.62/9.81 (Or (Eq (cB (skS.0 4 a)) True)
% 9.62/9.81 (Or (Eq (cowlNothing (skS.0 5 a_2)) True)
% 9.62/9.81 (Or (Eq (cAorB (skS.0 4 a)) True) (Or (Eq (cB (skS.0 4 a)) True) (Eq (cA (skS.0 4 a)) True))))))
% 9.62/9.81 Clause #447 (by eliminate duplicate literals #[446]): ∀ (a a_1 a_2 : Iota),
% 9.62/9.81 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.62/9.81 (Or (Eq (xsd_string (skS.0 6 a_1)) True)
% 9.62/9.81 (Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (cowlNothing (skS.0 5 a_2)) True) (Eq (cA (skS.0 4 a)) True))))
% 9.62/9.81 Clause #449 (by superposition #[447, 22]): ∀ (a a_1 : Iota),
% 9.62/9.81 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.62/9.81 (Or (Eq (xsd_string (skS.0 6 a_1)) True)
% 9.62/9.81 (Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (cA (skS.0 4 a)) True) (Eq True False))))
% 9.62/9.81 Clause #451 (by clausification #[449]): ∀ (a a_1 : Iota),
% 9.62/9.81 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.62/9.81 (Or (Eq (xsd_string (skS.0 6 a_1)) True) (Or (Eq (cB (skS.0 4 a)) True) (Eq (cA (skS.0 4 a)) True)))
% 9.62/9.81 Clause #452 (by superposition #[451, 16]): ∀ (a a_1 : Iota),
% 9.62/9.81 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.62/9.81 (Or (Eq (cB (skS.0 4 a)) True)
% 9.62/9.81 (Or (Eq (cA (skS.0 4 a)) True) (Or (Eq True False) (Eq (xsd_integer (skS.0 6 a_1)) False))))
% 9.62/9.81 Clause #454 (by clausification #[452]): ∀ (a a_1 : Iota),
% 9.62/9.81 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.62/9.81 (Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (cA (skS.0 4 a)) True) (Eq (xsd_integer (skS.0 6 a_1)) False)))
% 9.62/9.81 Clause #484 (by clausification #[423]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.62/9.81 Or (Eq (xsd_integer (skS.0 6 a)) True)
% 9.62/9.81 (Or (Eq (xsd_string (skS.0 6 a_1)) False)
% 9.62/9.81 (Or (Eq (cB (skS.0 4 a_2)) False)
% 9.62/9.81 (Or (Eq (cowlNothing (skS.0 5 a_3)) True) (Eq (xsd_integer (skS.0 6 a_1)) True))))
% 9.62/9.81 Clause #487 (by superposition #[484, 15]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.67/9.84 Or (Eq (xsd_integer (skS.0 6 a)) True)
% 9.67/9.84 (Or (Eq (cB (skS.0 4 a_1)) False)
% 9.67/9.84 (Or (Eq (cowlNothing (skS.0 5 a_2)) True)
% 9.67/9.84 (Or (Eq (xsd_integer (skS.0 6 a_3)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 6 a_3)) True)))))
% 9.67/9.84 Clause #488 (by clausification #[487]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.67/9.84 Or (Eq (xsd_integer (skS.0 6 a)) True)
% 9.67/9.84 (Or (Eq (cB (skS.0 4 a_1)) False)
% 9.67/9.84 (Or (Eq (cowlNothing (skS.0 5 a_2)) True)
% 9.67/9.84 (Or (Eq (xsd_integer (skS.0 6 a_3)) True) (Eq (xsd_integer (skS.0 6 a_3)) True))))
% 9.67/9.84 Clause #489 (by eliminate duplicate literals #[488]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.67/9.84 Or (Eq (xsd_integer (skS.0 6 a)) True)
% 9.67/9.84 (Or (Eq (cB (skS.0 4 a_1)) False) (Or (Eq (cowlNothing (skS.0 5 a_2)) True) (Eq (xsd_integer (skS.0 6 a_3)) True)))
% 9.67/9.84 Clause #490 (by superposition #[489, 340]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.67/9.84 Or (Eq (xsd_integer (skS.0 6 a)) True)
% 9.67/9.84 (Or (Eq (cowlNothing (skS.0 5 a_1)) True)
% 9.67/9.84 (Or (Eq (xsd_integer (skS.0 6 a_2)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 6 a_3)) True))))
% 9.67/9.84 Clause #494 (by clausification #[490]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.67/9.84 Or (Eq (xsd_integer (skS.0 6 a)) True)
% 9.67/9.84 (Or (Eq (cowlNothing (skS.0 5 a_1)) True)
% 9.67/9.84 (Or (Eq (xsd_integer (skS.0 6 a_2)) True) (Eq (xsd_integer (skS.0 6 a_3)) True)))
% 9.67/9.84 Clause #503 (by equality factoring #[494]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.84 Or (Eq (xsd_integer (skS.0 6 a)) True)
% 9.67/9.84 (Or (Eq (cowlNothing (skS.0 5 a_1)) True) (Or (Ne True True) (Eq (xsd_integer (skS.0 6 a_2)) True)))
% 9.67/9.84 Clause #504 (by clausification #[503]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.84 Or (Eq (xsd_integer (skS.0 6 a)) True)
% 9.67/9.84 (Or (Eq (cowlNothing (skS.0 5 a_1)) True)
% 9.67/9.84 (Or (Eq (xsd_integer (skS.0 6 a_2)) True) (Or (Eq True False) (Eq True False))))
% 9.67/9.84 Clause #506 (by clausification #[504]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.84 Or (Eq (xsd_integer (skS.0 6 a)) True)
% 9.67/9.84 (Or (Eq (cowlNothing (skS.0 5 a_1)) True) (Or (Eq (xsd_integer (skS.0 6 a_2)) True) (Eq True False)))
% 9.67/9.84 Clause #507 (by clausification #[506]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.84 Or (Eq (xsd_integer (skS.0 6 a)) True)
% 9.67/9.84 (Or (Eq (cowlNothing (skS.0 5 a_1)) True) (Eq (xsd_integer (skS.0 6 a_2)) True))
% 9.67/9.84 Clause #513 (by equality factoring #[507]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 5 a)) True) (Or (Ne True True) (Eq (xsd_integer (skS.0 6 a_1)) True))
% 9.67/9.84 Clause #514 (by clausification #[513]): ∀ (a a_1 : Iota),
% 9.67/9.84 Or (Eq (cowlNothing (skS.0 5 a)) True) (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Or (Eq True False) (Eq True False)))
% 9.67/9.84 Clause #516 (by clausification #[514]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 5 a)) True) (Or (Eq (xsd_integer (skS.0 6 a_1)) True) (Eq True False))
% 9.67/9.84 Clause #517 (by clausification #[516]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 5 a)) True) (Eq (xsd_integer (skS.0 6 a_1)) True)
% 9.67/9.84 Clause #518 (by superposition #[517, 22]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 6 a)) True) (Eq True False)
% 9.67/9.84 Clause #521 (by clausification #[518]): ∀ (a : Iota), Eq (xsd_integer (skS.0 6 a)) True
% 9.67/9.84 Clause #522 (by backward demodulation #[521, 156]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.84 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.67/9.84 (Or (Eq (xsd_string (skS.0 6 a_1)) True)
% 9.67/9.84 (Or (Eq (cA (skS.0 4 a)) False) (Or (Eq (cowlNothing (skS.0 5 a_2)) True) (Eq True False))))
% 9.67/9.84 Clause #523 (by backward demodulation #[521, 183]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.84 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.67/9.84 (Or (Eq (xsd_string (skS.0 6 a_1)) True)
% 9.67/9.84 (Or (Eq (cB (skS.0 4 a)) False) (Or (Eq (cowlNothing (skS.0 5 a_2)) True) (Eq True False))))
% 9.67/9.84 Clause #524 (by superposition #[521, 454]): ∀ (a : Iota),
% 9.67/9.84 Or (Eq (cAorB (skS.0 4 a)) True) (Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (cA (skS.0 4 a)) True) (Eq True False)))
% 9.67/9.84 Clause #526 (by clausification #[524]): ∀ (a : Iota), Or (Eq (cAorB (skS.0 4 a)) True) (Or (Eq (cB (skS.0 4 a)) True) (Eq (cA (skS.0 4 a)) True))
% 9.67/9.84 Clause #527 (by superposition #[526, 134]): ∀ (a a_1 : Iota),
% 9.67/9.84 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.67/9.84 (Or (Eq (cB (skS.0 4 a)) True) (Or (Eq True False) (Eq (rq (skS.0 4 a) (skS.0 7 (skS.0 4 a) a_1)) True)))
% 9.67/9.84 Clause #534 (by clausification #[522]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.84 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.67/9.87 (Or (Eq (xsd_string (skS.0 6 a_1)) True) (Or (Eq (cA (skS.0 4 a)) False) (Eq (cowlNothing (skS.0 5 a_2)) True)))
% 9.67/9.87 Clause #537 (by clausification #[523]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.87 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.67/9.87 (Or (Eq (xsd_string (skS.0 6 a_1)) True) (Or (Eq (cB (skS.0 4 a)) False) (Eq (cowlNothing (skS.0 5 a_2)) True)))
% 9.67/9.87 Clause #538 (by clausification #[527]): ∀ (a a_1 : Iota),
% 9.67/9.87 Or (Eq (cAorB (skS.0 4 a)) True) (Or (Eq (cB (skS.0 4 a)) True) (Eq (rq (skS.0 4 a) (skS.0 7 (skS.0 4 a) a_1)) True))
% 9.67/9.87 Clause #539 (by superposition #[538, 129]): ∀ (a a_1 : Iota),
% 9.67/9.87 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.67/9.87 (Or (Eq (cB (skS.0 4 a)) True)
% 9.67/9.87 (Or (Eq (cAorB (skS.0 4 a)) True) (Or (Eq True False) (Eq (cNothing (skS.0 7 (skS.0 4 a) a_1)) True))))
% 9.67/9.87 Clause #540 (by clausification #[539]): ∀ (a a_1 : Iota),
% 9.67/9.87 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.67/9.87 (Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (cAorB (skS.0 4 a)) True) (Eq (cNothing (skS.0 7 (skS.0 4 a) a_1)) True)))
% 9.67/9.87 Clause #541 (by eliminate duplicate literals #[540]): ∀ (a a_1 : Iota),
% 9.67/9.87 Or (Eq (cAorB (skS.0 4 a)) True) (Or (Eq (cB (skS.0 4 a)) True) (Eq (cNothing (skS.0 7 (skS.0 4 a) a_1)) True))
% 9.67/9.87 Clause #542 (by superposition #[541, 44]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.87 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.67/9.87 (Or (Eq (cB (skS.0 4 a)) True)
% 9.67/9.87 (Or (Eq True False) (Eq (rp (skS.0 7 (skS.0 4 a) a_1) (skS.0 1 (skS.0 7 (skS.0 4 a) a_1) a_2)) True)))
% 9.67/9.87 Clause #543 (by superposition #[541, 101]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.87 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.67/9.87 (Or (Eq (cB (skS.0 4 a)) True) (Or (Eq True False) (Eq (rp (skS.0 7 (skS.0 4 a) a_1) a_2) False)))
% 9.67/9.87 Clause #544 (by clausification #[543]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.87 Or (Eq (cAorB (skS.0 4 a)) True) (Or (Eq (cB (skS.0 4 a)) True) (Eq (rp (skS.0 7 (skS.0 4 a) a_1) a_2) False))
% 9.67/9.87 Clause #575 (by clausification #[542]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.87 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.67/9.87 (Or (Eq (cB (skS.0 4 a)) True) (Eq (rp (skS.0 7 (skS.0 4 a) a_1) (skS.0 1 (skS.0 7 (skS.0 4 a) a_1) a_2)) True))
% 9.67/9.87 Clause #576 (by superposition #[575, 544]): ∀ (a : Iota),
% 9.67/9.87 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.67/9.87 (Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (cAorB (skS.0 4 a)) True) (Or (Eq (cB (skS.0 4 a)) True) (Eq True False))))
% 9.67/9.87 Clause #579 (by clausification #[576]): ∀ (a : Iota),
% 9.67/9.87 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.67/9.87 (Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (cAorB (skS.0 4 a)) True) (Eq (cB (skS.0 4 a)) True)))
% 9.67/9.87 Clause #580 (by eliminate duplicate literals #[579]): ∀ (a : Iota), Or (Eq (cAorB (skS.0 4 a)) True) (Eq (cB (skS.0 4 a)) True)
% 9.67/9.87 Clause #581 (by superposition #[580, 534]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.87 Or (Eq (cB (skS.0 4 a)) True)
% 9.67/9.87 (Or (Eq True False)
% 9.67/9.87 (Or (Eq (xsd_string (skS.0 6 a_1)) True) (Or (Eq (cA (skS.0 4 a)) False) (Eq (cowlNothing (skS.0 5 a_2)) True))))
% 9.67/9.87 Clause #583 (by superposition #[580, 140]): ∀ (a a_1 : Iota),
% 9.67/9.87 Or (Eq (cB (skS.0 4 a)) True) (Or (Eq True False) (Eq (rs (skS.0 4 a) (skS.0 9 (skS.0 4 a) a_1)) True))
% 9.67/9.87 Clause #584 (by clausification #[583]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 4 a)) True) (Eq (rs (skS.0 4 a) (skS.0 9 (skS.0 4 a) a_1)) True)
% 9.67/9.87 Clause #588 (by clausification #[581]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.87 Or (Eq (cB (skS.0 4 a)) True)
% 9.67/9.87 (Or (Eq (xsd_string (skS.0 6 a_1)) True) (Or (Eq (cA (skS.0 4 a)) False) (Eq (cowlNothing (skS.0 5 a_2)) True)))
% 9.67/9.87 Clause #589 (by superposition #[588, 38]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.87 Or (Eq (cB (skS.0 4 a)) True)
% 9.67/9.87 (Or (Eq (xsd_string (skS.0 6 a_1)) True)
% 9.67/9.87 (Or (Eq (cowlNothing (skS.0 5 a_2)) True) (Or (Eq (cnotA (skS.0 4 a)) True) (Eq False True))))
% 9.67/9.87 Clause #592 (by clausification #[589]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.87 Or (Eq (cB (skS.0 4 a)) True)
% 9.67/9.87 (Or (Eq (xsd_string (skS.0 6 a_1)) True) (Or (Eq (cowlNothing (skS.0 5 a_2)) True) (Eq (cnotA (skS.0 4 a)) True)))
% 9.67/9.87 Clause #594 (by superposition #[592, 22]): ∀ (a a_1 : Iota),
% 9.67/9.87 Or (Eq (cB (skS.0 4 a)) True)
% 9.67/9.87 (Or (Eq (xsd_string (skS.0 6 a_1)) True) (Or (Eq (cnotA (skS.0 4 a)) True) (Eq True False)))
% 9.67/9.87 Clause #597 (by clausification #[594]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (xsd_string (skS.0 6 a_1)) True) (Eq (cnotA (skS.0 4 a)) True))
% 9.67/9.89 Clause #598 (by superposition #[597, 16]): ∀ (a a_1 : Iota),
% 9.67/9.89 Or (Eq (cB (skS.0 4 a)) True)
% 9.67/9.89 (Or (Eq (cnotA (skS.0 4 a)) True) (Or (Eq True False) (Eq (xsd_integer (skS.0 6 a_1)) False)))
% 9.67/9.89 Clause #601 (by clausification #[598]): ∀ (a a_1 : Iota),
% 9.67/9.89 Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (cnotA (skS.0 4 a)) True) (Eq (xsd_integer (skS.0 6 a_1)) False))
% 9.67/9.89 Clause #602 (by superposition #[601, 521]): ∀ (a : Iota), Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (cnotA (skS.0 4 a)) True) (Eq False True))
% 9.67/9.89 Clause #603 (by clausification #[602]): ∀ (a : Iota), Or (Eq (cB (skS.0 4 a)) True) (Eq (cnotA (skS.0 4 a)) True)
% 9.67/9.89 Clause #605 (by superposition #[603, 102]): ∀ (a : Iota),
% 9.67/9.89 Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (cnotAorB (skS.0 4 a)) True) (Eq True False)))
% 9.67/9.89 Clause #611 (by clausification #[605]): ∀ (a : Iota), Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (cB (skS.0 4 a)) True) (Eq (cnotAorB (skS.0 4 a)) True))
% 9.67/9.89 Clause #612 (by eliminate duplicate literals #[611]): ∀ (a : Iota), Or (Eq (cB (skS.0 4 a)) True) (Eq (cnotAorB (skS.0 4 a)) True)
% 9.67/9.89 Clause #613 (by superposition #[612, 71]): ∀ (a a_1 : Iota),
% 9.67/9.89 Or (Eq (cB (skS.0 4 a)) True) (Or (Eq True False) (Or (Eq (rs (skS.0 4 a) a_1) False) (Eq (cNothing a_1) True)))
% 9.67/9.89 Clause #617 (by clausification #[613]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (rs (skS.0 4 a) a_1) False) (Eq (cNothing a_1) True))
% 9.67/9.89 Clause #618 (by superposition #[617, 584]): ∀ (a a_1 : Iota),
% 9.67/9.89 Or (Eq (cB (skS.0 4 a)) True)
% 9.67/9.89 (Or (Eq (cNothing (skS.0 9 (skS.0 4 a) a_1)) True) (Or (Eq (cB (skS.0 4 a)) True) (Eq False True)))
% 9.67/9.89 Clause #624 (by clausification #[618]): ∀ (a a_1 : Iota),
% 9.67/9.89 Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (cNothing (skS.0 9 (skS.0 4 a) a_1)) True) (Eq (cB (skS.0 4 a)) True))
% 9.67/9.89 Clause #625 (by eliminate duplicate literals #[624]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 4 a)) True) (Eq (cNothing (skS.0 9 (skS.0 4 a) a_1)) True)
% 9.67/9.89 Clause #626 (by superposition #[625, 44]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.89 Or (Eq (cB (skS.0 4 a)) True)
% 9.67/9.89 (Or (Eq True False) (Eq (rp (skS.0 9 (skS.0 4 a) a_1) (skS.0 1 (skS.0 9 (skS.0 4 a) a_1) a_2)) True))
% 9.67/9.89 Clause #627 (by superposition #[625, 101]): ∀ (a a_1 a_2 : Iota), Or (Eq (cB (skS.0 4 a)) True) (Or (Eq True False) (Eq (rp (skS.0 9 (skS.0 4 a) a_1) a_2) False))
% 9.67/9.89 Clause #628 (by clausification #[627]): ∀ (a a_1 a_2 : Iota), Or (Eq (cB (skS.0 4 a)) True) (Eq (rp (skS.0 9 (skS.0 4 a) a_1) a_2) False)
% 9.67/9.89 Clause #637 (by clausification #[626]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.89 Or (Eq (cB (skS.0 4 a)) True) (Eq (rp (skS.0 9 (skS.0 4 a) a_1) (skS.0 1 (skS.0 9 (skS.0 4 a) a_1) a_2)) True)
% 9.67/9.89 Clause #638 (by superposition #[637, 628]): ∀ (a : Iota), Or (Eq (cB (skS.0 4 a)) True) (Or (Eq (cB (skS.0 4 a)) True) (Eq True False))
% 9.67/9.89 Clause #640 (by clausification #[638]): ∀ (a : Iota), Or (Eq (cB (skS.0 4 a)) True) (Eq (cB (skS.0 4 a)) True)
% 9.67/9.89 Clause #641 (by eliminate duplicate literals #[640]): ∀ (a : Iota), Eq (cB (skS.0 4 a)) True
% 9.67/9.89 Clause #642 (by backward demodulation #[641, 537]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.89 Or (Eq (cAorB (skS.0 4 a)) False)
% 9.67/9.89 (Or (Eq (xsd_string (skS.0 6 a_1)) True) (Or (Eq True False) (Eq (cowlNothing (skS.0 5 a_2)) True)))
% 9.67/9.89 Clause #653 (by superposition #[641, 137]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (rr (skS.0 4 a) (skS.0 8 (skS.0 4 a) a_1)) True)
% 9.67/9.89 Clause #656 (by clausification #[653]): ∀ (a a_1 : Iota), Eq (rr (skS.0 4 a) (skS.0 8 (skS.0 4 a) a_1)) True
% 9.67/9.89 Clause #658 (by superposition #[656, 106]): ∀ (a a_1 : Iota), Or (Eq (cAorB (skS.0 4 a)) True) (Or (Eq True False) (Eq (cNothing (skS.0 8 (skS.0 4 a) a_1)) True))
% 9.67/9.89 Clause #662 (by clausification #[658]): ∀ (a a_1 : Iota), Or (Eq (cAorB (skS.0 4 a)) True) (Eq (cNothing (skS.0 8 (skS.0 4 a) a_1)) True)
% 9.67/9.89 Clause #663 (by superposition #[662, 44]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.89 Or (Eq (cAorB (skS.0 4 a)) True)
% 9.67/9.89 (Or (Eq True False) (Eq (rp (skS.0 8 (skS.0 4 a) a_1) (skS.0 1 (skS.0 8 (skS.0 4 a) a_1) a_2)) True))
% 9.67/9.89 Clause #664 (by superposition #[662, 101]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.89 Or (Eq (cAorB (skS.0 4 a)) True) (Or (Eq True False) (Eq (rp (skS.0 8 (skS.0 4 a) a_1) a_2) False))
% 9.67/9.91 Clause #665 (by clausification #[642]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.91 Or (Eq (cAorB (skS.0 4 a)) False) (Or (Eq (xsd_string (skS.0 6 a_1)) True) (Eq (cowlNothing (skS.0 5 a_2)) True))
% 9.67/9.91 Clause #666 (by clausification #[664]): ∀ (a a_1 a_2 : Iota), Or (Eq (cAorB (skS.0 4 a)) True) (Eq (rp (skS.0 8 (skS.0 4 a) a_1) a_2) False)
% 9.67/9.91 Clause #669 (by clausification #[663]): ∀ (a a_1 a_2 : Iota),
% 9.67/9.91 Or (Eq (cAorB (skS.0 4 a)) True) (Eq (rp (skS.0 8 (skS.0 4 a) a_1) (skS.0 1 (skS.0 8 (skS.0 4 a) a_1) a_2)) True)
% 9.67/9.91 Clause #670 (by superposition #[669, 666]): ∀ (a : Iota), Or (Eq (cAorB (skS.0 4 a)) True) (Or (Eq (cAorB (skS.0 4 a)) True) (Eq True False))
% 9.67/9.91 Clause #671 (by clausification #[670]): ∀ (a : Iota), Or (Eq (cAorB (skS.0 4 a)) True) (Eq (cAorB (skS.0 4 a)) True)
% 9.67/9.91 Clause #672 (by eliminate duplicate literals #[671]): ∀ (a : Iota), Eq (cAorB (skS.0 4 a)) True
% 9.67/9.91 Clause #676 (by superposition #[672, 665]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (xsd_string (skS.0 6 a)) True) (Eq (cowlNothing (skS.0 5 a_1)) True))
% 9.67/9.91 Clause #680 (by clausification #[676]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 6 a)) True) (Eq (cowlNothing (skS.0 5 a_1)) True)
% 9.67/9.91 Clause #682 (by superposition #[680, 22]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 6 a)) True) (Eq True False)
% 9.67/9.91 Clause #683 (by clausification #[682]): ∀ (a : Iota), Eq (xsd_string (skS.0 6 a)) True
% 9.67/9.91 Clause #684 (by superposition #[683, 16]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 6 a)) False)
% 9.67/9.91 Clause #685 (by clausification #[684]): ∀ (a : Iota), Eq (xsd_integer (skS.0 6 a)) False
% 9.67/9.91 Clause #686 (by superposition #[685, 521]): Eq False True
% 9.67/9.91 Clause #687 (by clausification #[686]): False
% 9.67/9.91 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------