TSTP Solution File: KRS168+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KRS168+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n027.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 05:43:35 EDT 2023
% Result : Theorem 4.51s 4.71s
% Output : Proof 4.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS168+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 02:48:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 4.51/4.71 SZS status Theorem for theBenchmark.p
% 4.51/4.71 SZS output start Proof for theBenchmark.p
% 4.51/4.71 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True
% 4.51/4.71 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True
% 4.51/4.71 Clause #2 (by assumption #[]): Eq
% 4.51/4.71 (Not
% 4.51/4.71 (And
% 4.51/4.71 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 4.51/4.71 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 4.51/4.71 (∀ (X : Iota), Iff (And (Not (cB X)) (Not (cA X))) (Not (Or (cA X) (cB X))))))
% 4.51/4.71 True
% 4.51/4.71 Clause #3 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True
% 4.51/4.71 Clause #4 (by clausification #[3]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False)
% 4.51/4.71 Clause #5 (by clausification #[3]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True)
% 4.51/4.71 Clause #6 (by clausification #[4]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True)
% 4.51/4.71 Clause #7 (by clausification #[5]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False)
% 4.51/4.71 Clause #8 (by clausification #[0]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True
% 4.51/4.71 Clause #9 (by clausification #[8]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True
% 4.51/4.71 Clause #10 (by clausification #[8]): ∀ (a : Iota), Eq (cowlThing a) True
% 4.51/4.71 Clause #11 (by clausification #[9]): ∀ (a : Iota), Eq (cowlNothing a) False
% 4.51/4.71 Clause #12 (by clausification #[2]): Eq
% 4.51/4.71 (And
% 4.51/4.71 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 4.51/4.71 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 4.51/4.71 (∀ (X : Iota), Iff (And (Not (cB X)) (Not (cA X))) (Not (Or (cA X) (cB X)))))
% 4.51/4.71 False
% 4.51/4.71 Clause #13 (by clausification #[12]): Or
% 4.51/4.71 (Eq
% 4.51/4.71 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 4.51/4.71 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 4.51/4.71 False)
% 4.51/4.71 (Eq (∀ (X : Iota), Iff (And (Not (cB X)) (Not (cA X))) (Not (Or (cA X) (cB X)))) False)
% 4.51/4.71 Clause #14 (by clausification #[13]): Or (Eq (∀ (X : Iota), Iff (And (Not (cB X)) (Not (cA X))) (Not (Or (cA X) (cB X)))) False)
% 4.51/4.71 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False)
% 4.51/4.71 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False))
% 4.51/4.71 Clause #15 (by clausification #[14]): ∀ (a : Iota),
% 4.51/4.71 Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False)
% 4.51/4.71 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)
% 4.51/4.71 (Eq (Not (Iff (And (Not (cB (skS.0 0 a))) (Not (cA (skS.0 0 a)))) (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a))))))
% 4.51/4.71 True))
% 4.51/4.71 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota),
% 4.51/4.71 Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)
% 4.51/4.71 (Or
% 4.51/4.71 (Eq (Not (Iff (And (Not (cB (skS.0 0 a))) (Not (cA (skS.0 0 a)))) (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a))))))
% 4.51/4.71 True)
% 4.51/4.71 (Eq (Not (And (cowlThing (skS.0 1 a_1)) (Not (cowlNothing (skS.0 1 a_1))))) True))
% 4.51/4.71 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 : Iota),
% 4.51/4.71 Or
% 4.51/4.71 (Eq (Not (Iff (And (Not (cB (skS.0 0 a))) (Not (cA (skS.0 0 a)))) (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a))))))
% 4.51/4.71 True)
% 4.51/4.71 (Or (Eq (Not (And (cowlThing (skS.0 1 a_1)) (Not (cowlNothing (skS.0 1 a_1))))) True)
% 4.51/4.71 (Eq (Not (Iff (xsd_string (skS.0 2 a_2)) (Not (xsd_integer (skS.0 2 a_2))))) True))
% 4.51/4.71 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : Iota),
% 4.51/4.71 Or (Eq (Not (And (cowlThing (skS.0 1 a)) (Not (cowlNothing (skS.0 1 a))))) True)
% 4.51/4.71 (Or (Eq (Not (Iff (xsd_string (skS.0 2 a_1)) (Not (xsd_integer (skS.0 2 a_1))))) True)
% 4.51/4.71 (Eq (Iff (And (Not (cB (skS.0 0 a_2))) (Not (cA (skS.0 0 a_2)))) (Not (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2)))))
% 4.51/4.71 False))
% 4.51/4.71 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : Iota),
% 4.51/4.71 Or (Eq (Not (Iff (xsd_string (skS.0 2 a)) (Not (xsd_integer (skS.0 2 a))))) True)
% 4.51/4.71 (Or
% 4.51/4.71 (Eq (Iff (And (Not (cB (skS.0 0 a_1))) (Not (cA (skS.0 0 a_1)))) (Not (Or (cA (skS.0 0 a_1)) (cB (skS.0 0 a_1)))))
% 4.51/4.71 False)
% 4.51/4.71 (Eq (And (cowlThing (skS.0 1 a_2)) (Not (cowlNothing (skS.0 1 a_2)))) False))
% 4.57/4.74 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 : Iota),
% 4.57/4.74 Or (Eq (Iff (And (Not (cB (skS.0 0 a))) (Not (cA (skS.0 0 a)))) (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a))))) False)
% 4.57/4.74 (Or (Eq (And (cowlThing (skS.0 1 a_1)) (Not (cowlNothing (skS.0 1 a_1)))) False)
% 4.57/4.74 (Eq (Iff (xsd_string (skS.0 2 a_2)) (Not (xsd_integer (skS.0 2 a_2)))) False))
% 4.57/4.74 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 : Iota),
% 4.57/4.74 Or (Eq (And (cowlThing (skS.0 1 a)) (Not (cowlNothing (skS.0 1 a)))) False)
% 4.57/4.74 (Or (Eq (Iff (xsd_string (skS.0 2 a_1)) (Not (xsd_integer (skS.0 2 a_1)))) False)
% 4.57/4.74 (Or (Eq (And (Not (cB (skS.0 0 a_2))) (Not (cA (skS.0 0 a_2)))) False)
% 4.57/4.74 (Eq (Not (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2)))) False)))
% 4.57/4.74 Clause #22 (by clausification #[20]): ∀ (a a_1 a_2 : Iota),
% 4.57/4.74 Or (Eq (And (cowlThing (skS.0 1 a)) (Not (cowlNothing (skS.0 1 a)))) False)
% 4.57/4.74 (Or (Eq (Iff (xsd_string (skS.0 2 a_1)) (Not (xsd_integer (skS.0 2 a_1)))) False)
% 4.57/4.74 (Or (Eq (And (Not (cB (skS.0 0 a_2))) (Not (cA (skS.0 0 a_2)))) True)
% 4.57/4.74 (Eq (Not (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2)))) True)))
% 4.57/4.74 Clause #23 (by clausification #[21]): ∀ (a a_1 a_2 : Iota),
% 4.57/4.74 Or (Eq (Iff (xsd_string (skS.0 2 a)) (Not (xsd_integer (skS.0 2 a)))) False)
% 4.57/4.74 (Or (Eq (And (Not (cB (skS.0 0 a_1))) (Not (cA (skS.0 0 a_1)))) False)
% 4.57/4.74 (Or (Eq (Not (Or (cA (skS.0 0 a_1)) (cB (skS.0 0 a_1)))) False)
% 4.57/4.74 (Or (Eq (cowlThing (skS.0 1 a_2)) False) (Eq (Not (cowlNothing (skS.0 1 a_2))) False))))
% 4.57/4.74 Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 : Iota),
% 4.57/4.74 Or (Eq (And (Not (cB (skS.0 0 a))) (Not (cA (skS.0 0 a)))) False)
% 4.57/4.74 (Or (Eq (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))) False)
% 4.57/4.74 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.57/4.74 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 4.57/4.74 (Or (Eq (xsd_string (skS.0 2 a_2)) False) (Eq (Not (xsd_integer (skS.0 2 a_2))) False)))))
% 4.57/4.74 Clause #25 (by clausification #[23]): ∀ (a a_1 a_2 : Iota),
% 4.57/4.74 Or (Eq (And (Not (cB (skS.0 0 a))) (Not (cA (skS.0 0 a)))) False)
% 4.57/4.74 (Or (Eq (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))) False)
% 4.57/4.74 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.57/4.74 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 4.57/4.74 (Or (Eq (xsd_string (skS.0 2 a_2)) True) (Eq (Not (xsd_integer (skS.0 2 a_2))) True)))))
% 4.57/4.74 Clause #26 (by clausification #[24]): ∀ (a a_1 a_2 : Iota),
% 4.57/4.74 Or (Eq (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))) False)
% 4.57/4.74 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.57/4.74 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 4.57/4.74 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.57/4.74 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) False)
% 4.57/4.74 (Or (Eq (Not (cB (skS.0 0 a))) False) (Eq (Not (cA (skS.0 0 a))) False))))))
% 4.57/4.74 Clause #27 (by clausification #[26]): ∀ (a a_1 a_2 : Iota),
% 4.57/4.74 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.57/4.74 (Or (Eq (Not (cowlNothing (skS.0 1 a))) False)
% 4.57/4.74 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.57/4.74 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) False)
% 4.57/4.74 (Or (Eq (Not (cB (skS.0 0 a_2))) False)
% 4.57/4.74 (Or (Eq (Not (cA (skS.0 0 a_2))) False) (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) True))))))
% 4.57/4.74 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 : Iota),
% 4.57/4.74 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.57/4.74 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.57/4.74 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) False)
% 4.57/4.74 (Or (Eq (Not (cB (skS.0 0 a_2))) False)
% 4.57/4.74 (Or (Eq (Not (cA (skS.0 0 a_2))) False)
% 4.57/4.74 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) True) (Eq (cowlNothing (skS.0 1 a)) True))))))
% 4.57/4.74 Clause #29 (by clausification #[28]): ∀ (a a_1 a_2 : Iota),
% 4.57/4.74 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.57/4.74 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.57/4.74 (Or (Eq (Not (cB (skS.0 0 a_2))) False)
% 4.57/4.74 (Or (Eq (Not (cA (skS.0 0 a_2))) False)
% 4.57/4.74 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) True)
% 4.57/4.74 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True))))))
% 4.57/4.74 Clause #30 (by clausification #[29]): ∀ (a a_1 a_2 : Iota),
% 4.57/4.74 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.57/4.74 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.57/4.74 (Or (Eq (Not (cA (skS.0 0 a_2))) False)
% 4.59/4.77 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) True)
% 4.59/4.77 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.59/4.77 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cB (skS.0 0 a_2)) True))))))
% 4.59/4.77 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.77 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.77 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.59/4.77 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) True)
% 4.59/4.77 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.59/4.77 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (cB (skS.0 0 a_2)) True) (Eq (cA (skS.0 0 a_2)) True))))))
% 4.59/4.77 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.77 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.77 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.59/4.77 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.59/4.77 (Or (Eq (xsd_integer (skS.0 2 a_1)) True)
% 4.59/4.77 (Or (Eq (cB (skS.0 0 a_2)) True)
% 4.59/4.77 (Or (Eq (cA (skS.0 0 a_2)) True) (Or (Eq (cA (skS.0 0 a_2)) True) (Eq (cB (skS.0 0 a_2)) True)))))))
% 4.59/4.77 Clause #33 (by eliminate duplicate literals #[32]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.77 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.77 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.59/4.77 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.59/4.77 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (cB (skS.0 0 a_2)) True) (Eq (cA (skS.0 0 a_2)) True)))))
% 4.59/4.77 Clause #34 (by forward demodulation #[33, 11]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.77 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.77 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.59/4.77 (Or (Eq False True)
% 4.59/4.77 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (cB (skS.0 0 a_2)) True) (Eq (cA (skS.0 0 a_2)) True)))))
% 4.59/4.77 Clause #35 (by clausification #[34]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.77 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.77 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.59/4.77 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (cB (skS.0 0 a_2)) True) (Eq (cA (skS.0 0 a_2)) True))))
% 4.59/4.77 Clause #36 (by superposition #[35, 10]): ∀ (a a_1 : Iota),
% 4.59/4.77 Or (Eq (xsd_string (skS.0 2 a)) False)
% 4.59/4.77 (Or (Eq (xsd_integer (skS.0 2 a)) True)
% 4.59/4.77 (Or (Eq (cB (skS.0 0 a_1)) True) (Or (Eq (cA (skS.0 0 a_1)) True) (Eq False True))))
% 4.59/4.77 Clause #37 (by clausification #[22]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.77 Or (Eq (Iff (xsd_string (skS.0 2 a)) (Not (xsd_integer (skS.0 2 a)))) False)
% 4.59/4.77 (Or (Eq (And (Not (cB (skS.0 0 a_1))) (Not (cA (skS.0 0 a_1)))) True)
% 4.59/4.77 (Or (Eq (Not (Or (cA (skS.0 0 a_1)) (cB (skS.0 0 a_1)))) True)
% 4.59/4.77 (Or (Eq (cowlThing (skS.0 1 a_2)) False) (Eq (Not (cowlNothing (skS.0 1 a_2))) False))))
% 4.59/4.77 Clause #38 (by clausification #[37]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.77 Or (Eq (And (Not (cB (skS.0 0 a))) (Not (cA (skS.0 0 a)))) True)
% 4.59/4.77 (Or (Eq (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))) True)
% 4.59/4.77 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.59/4.77 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 4.59/4.77 (Or (Eq (xsd_string (skS.0 2 a_2)) False) (Eq (Not (xsd_integer (skS.0 2 a_2))) False)))))
% 4.59/4.77 Clause #39 (by clausification #[37]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.77 Or (Eq (And (Not (cB (skS.0 0 a))) (Not (cA (skS.0 0 a)))) True)
% 4.59/4.77 (Or (Eq (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))) True)
% 4.59/4.77 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.59/4.77 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 4.59/4.77 (Or (Eq (xsd_string (skS.0 2 a_2)) True) (Eq (Not (xsd_integer (skS.0 2 a_2))) True)))))
% 4.59/4.77 Clause #40 (by clausification #[38]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.77 Or (Eq (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))) True)
% 4.59/4.77 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.59/4.77 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 4.59/4.77 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.59/4.77 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) False) (Eq (Not (cA (skS.0 0 a))) True)))))
% 4.59/4.77 Clause #41 (by clausification #[38]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.77 Or (Eq (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))) True)
% 4.59/4.77 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.59/4.77 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 4.59/4.77 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.59/4.77 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) False) (Eq (Not (cB (skS.0 0 a))) True)))))
% 4.59/4.77 Clause #42 (by clausification #[40]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.79 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.79 (Or (Eq (Not (cowlNothing (skS.0 1 a))) False)
% 4.59/4.79 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.59/4.79 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) False)
% 4.59/4.79 (Or (Eq (Not (cA (skS.0 0 a_2))) True) (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False)))))
% 4.59/4.79 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.79 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.79 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.59/4.79 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) False)
% 4.59/4.79 (Or (Eq (Not (cA (skS.0 0 a_2))) True)
% 4.59/4.79 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False) (Eq (cowlNothing (skS.0 1 a)) True)))))
% 4.59/4.79 Clause #44 (by clausification #[43]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.79 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.79 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.59/4.79 (Or (Eq (Not (cA (skS.0 0 a_2))) True)
% 4.59/4.79 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False)
% 4.59/4.79 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True)))))
% 4.59/4.79 Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.79 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.79 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.59/4.79 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False)
% 4.59/4.79 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.59/4.79 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cA (skS.0 0 a_2)) False)))))
% 4.59/4.79 Clause #47 (by clausification #[45]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.79 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.79 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.59/4.79 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.59/4.79 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (cA (skS.0 0 a_2)) False) (Eq (cA (skS.0 0 a_2)) False)))))
% 4.59/4.79 Clause #51 (by clausification #[36]): ∀ (a a_1 : Iota),
% 4.59/4.79 Or (Eq (xsd_string (skS.0 2 a)) False)
% 4.59/4.79 (Or (Eq (xsd_integer (skS.0 2 a)) True) (Or (Eq (cB (skS.0 0 a_1)) True) (Eq (cA (skS.0 0 a_1)) True)))
% 4.59/4.79 Clause #53 (by eliminate duplicate literals #[47]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.79 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.79 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.59/4.79 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cA (skS.0 0 a_2)) False))))
% 4.59/4.79 Clause #54 (by forward demodulation #[53, 11]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.79 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.79 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.59/4.79 (Or (Eq False True) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cA (skS.0 0 a_2)) False))))
% 4.59/4.79 Clause #55 (by clausification #[54]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.79 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.79 (Or (Eq (xsd_string (skS.0 2 a_1)) False) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cA (skS.0 0 a_2)) False)))
% 4.59/4.79 Clause #56 (by superposition #[55, 10]): ∀ (a a_1 : Iota),
% 4.59/4.79 Or (Eq (xsd_string (skS.0 2 a)) False)
% 4.59/4.79 (Or (Eq (xsd_integer (skS.0 2 a)) True) (Or (Eq (cA (skS.0 0 a_1)) False) (Eq False True)))
% 4.59/4.79 Clause #57 (by clausification #[56]): ∀ (a a_1 : Iota),
% 4.59/4.79 Or (Eq (xsd_string (skS.0 2 a)) False) (Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (cA (skS.0 0 a_1)) False))
% 4.59/4.79 Clause #58 (by clausification #[41]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.79 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.79 (Or (Eq (Not (cowlNothing (skS.0 1 a))) False)
% 4.59/4.79 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.59/4.79 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) False)
% 4.59/4.79 (Or (Eq (Not (cB (skS.0 0 a_2))) True) (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False)))))
% 4.59/4.79 Clause #59 (by clausification #[58]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.79 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.79 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.59/4.79 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) False)
% 4.59/4.79 (Or (Eq (Not (cB (skS.0 0 a_2))) True)
% 4.59/4.79 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False) (Eq (cowlNothing (skS.0 1 a)) True)))))
% 4.59/4.79 Clause #60 (by clausification #[59]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.79 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.79 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.59/4.79 (Or (Eq (Not (cB (skS.0 0 a_2))) True)
% 4.59/4.79 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False)
% 4.59/4.79 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True)))))
% 4.59/4.79 Clause #61 (by clausification #[60]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.82 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.82 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.59/4.82 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False)
% 4.59/4.82 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.59/4.82 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cB (skS.0 0 a_2)) False)))))
% 4.59/4.82 Clause #62 (by clausification #[61]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.82 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.82 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.59/4.82 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.59/4.82 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (cB (skS.0 0 a_2)) False) (Eq (cB (skS.0 0 a_2)) False)))))
% 4.59/4.82 Clause #64 (by eliminate duplicate literals #[62]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.82 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.82 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.59/4.82 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cB (skS.0 0 a_2)) False))))
% 4.59/4.82 Clause #65 (by forward demodulation #[64, 11]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.82 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.82 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.59/4.82 (Or (Eq False True) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cB (skS.0 0 a_2)) False))))
% 4.59/4.82 Clause #66 (by clausification #[65]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.82 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.82 (Or (Eq (xsd_string (skS.0 2 a_1)) False) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cB (skS.0 0 a_2)) False)))
% 4.59/4.82 Clause #67 (by superposition #[66, 10]): ∀ (a a_1 : Iota),
% 4.59/4.82 Or (Eq (xsd_string (skS.0 2 a)) False)
% 4.59/4.82 (Or (Eq (xsd_integer (skS.0 2 a)) True) (Or (Eq (cB (skS.0 0 a_1)) False) (Eq False True)))
% 4.59/4.82 Clause #68 (by clausification #[25]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.82 Or (Eq (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))) False)
% 4.59/4.82 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.59/4.82 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 4.59/4.82 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 4.59/4.82 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) True)
% 4.59/4.82 (Or (Eq (Not (cB (skS.0 0 a))) False) (Eq (Not (cA (skS.0 0 a))) False))))))
% 4.59/4.82 Clause #69 (by clausification #[68]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.82 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.82 (Or (Eq (Not (cowlNothing (skS.0 1 a))) False)
% 4.59/4.82 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.82 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) True)
% 4.59/4.82 (Or (Eq (Not (cB (skS.0 0 a_2))) False)
% 4.59/4.82 (Or (Eq (Not (cA (skS.0 0 a_2))) False) (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) True))))))
% 4.59/4.82 Clause #70 (by clausification #[69]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.82 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.82 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.82 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) True)
% 4.59/4.82 (Or (Eq (Not (cB (skS.0 0 a_2))) False)
% 4.59/4.82 (Or (Eq (Not (cA (skS.0 0 a_2))) False)
% 4.59/4.82 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) True) (Eq (cowlNothing (skS.0 1 a)) True))))))
% 4.59/4.82 Clause #71 (by clausification #[70]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.82 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.82 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.82 (Or (Eq (Not (cB (skS.0 0 a_2))) False)
% 4.59/4.82 (Or (Eq (Not (cA (skS.0 0 a_2))) False)
% 4.59/4.82 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) True)
% 4.59/4.82 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) False))))))
% 4.59/4.82 Clause #72 (by clausification #[71]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.82 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.82 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.82 (Or (Eq (Not (cA (skS.0 0 a_2))) False)
% 4.59/4.82 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) True)
% 4.59/4.82 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.59/4.82 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq (cB (skS.0 0 a_2)) True))))))
% 4.59/4.82 Clause #73 (by clausification #[72]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.82 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.82 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.82 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) True)
% 4.59/4.82 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.59/4.82 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Or (Eq (cB (skS.0 0 a_2)) True) (Eq (cA (skS.0 0 a_2)) True))))))
% 4.59/4.82 Clause #74 (by clausification #[73]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.84 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.84 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.84 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.59/4.84 (Or (Eq (xsd_integer (skS.0 2 a_1)) False)
% 4.59/4.84 (Or (Eq (cB (skS.0 0 a_2)) True)
% 4.59/4.84 (Or (Eq (cA (skS.0 0 a_2)) True) (Or (Eq (cA (skS.0 0 a_2)) True) (Eq (cB (skS.0 0 a_2)) True)))))))
% 4.59/4.84 Clause #75 (by eliminate duplicate literals #[74]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.84 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.84 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.84 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.59/4.84 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Or (Eq (cB (skS.0 0 a_2)) True) (Eq (cA (skS.0 0 a_2)) True)))))
% 4.59/4.84 Clause #76 (by forward demodulation #[75, 11]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.84 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.84 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.84 (Or (Eq False True)
% 4.59/4.84 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Or (Eq (cB (skS.0 0 a_2)) True) (Eq (cA (skS.0 0 a_2)) True)))))
% 4.59/4.84 Clause #77 (by clausification #[76]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.84 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.84 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.84 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Or (Eq (cB (skS.0 0 a_2)) True) (Eq (cA (skS.0 0 a_2)) True))))
% 4.59/4.84 Clause #78 (by superposition #[77, 10]): ∀ (a a_1 : Iota),
% 4.59/4.84 Or (Eq (xsd_string (skS.0 2 a)) True)
% 4.59/4.84 (Or (Eq (xsd_integer (skS.0 2 a)) False)
% 4.59/4.84 (Or (Eq (cB (skS.0 0 a_1)) True) (Or (Eq (cA (skS.0 0 a_1)) True) (Eq False True))))
% 4.59/4.84 Clause #79 (by clausification #[67]): ∀ (a a_1 : Iota),
% 4.59/4.84 Or (Eq (xsd_string (skS.0 2 a)) False) (Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (cB (skS.0 0 a_1)) False))
% 4.59/4.84 Clause #80 (by clausification #[78]): ∀ (a a_1 : Iota),
% 4.59/4.84 Or (Eq (xsd_string (skS.0 2 a)) True)
% 4.59/4.84 (Or (Eq (xsd_integer (skS.0 2 a)) False) (Or (Eq (cB (skS.0 0 a_1)) True) (Eq (cA (skS.0 0 a_1)) True)))
% 4.59/4.84 Clause #81 (by superposition #[80, 6]): ∀ (a a_1 : Iota),
% 4.59/4.84 Or (Eq (xsd_string (skS.0 2 a)) True)
% 4.59/4.84 (Or (Eq (cB (skS.0 0 a_1)) True)
% 4.59/4.84 (Or (Eq (cA (skS.0 0 a_1)) True) (Or (Eq (xsd_string (skS.0 2 a)) True) (Eq False True))))
% 4.59/4.84 Clause #82 (by clausification #[81]): ∀ (a a_1 : Iota),
% 4.59/4.84 Or (Eq (xsd_string (skS.0 2 a)) True)
% 4.59/4.84 (Or (Eq (cB (skS.0 0 a_1)) True) (Or (Eq (cA (skS.0 0 a_1)) True) (Eq (xsd_string (skS.0 2 a)) True)))
% 4.59/4.84 Clause #83 (by eliminate duplicate literals #[82]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (cB (skS.0 0 a_1)) True) (Eq (cA (skS.0 0 a_1)) True))
% 4.59/4.84 Clause #84 (by superposition #[83, 51]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.84 Or (Eq (cB (skS.0 0 a)) True)
% 4.59/4.84 (Or (Eq (cA (skS.0 0 a)) True)
% 4.59/4.84 (Or (Eq True False)
% 4.59/4.84 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (cB (skS.0 0 a_2)) True) (Eq (cA (skS.0 0 a_2)) True)))))
% 4.59/4.84 Clause #87 (by superposition #[83, 7]): ∀ (a a_1 : Iota),
% 4.59/4.84 Or (Eq (cB (skS.0 0 a)) True)
% 4.59/4.84 (Or (Eq (cA (skS.0 0 a)) True) (Or (Eq True False) (Eq (xsd_integer (skS.0 2 a_1)) False)))
% 4.59/4.84 Clause #88 (by clausification #[87]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cA (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) False))
% 4.59/4.84 Clause #91 (by clausification #[39]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.84 Or (Eq (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))) True)
% 4.59/4.84 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.59/4.84 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 4.59/4.84 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 4.59/4.84 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) True) (Eq (Not (cA (skS.0 0 a))) True)))))
% 4.59/4.84 Clause #92 (by clausification #[39]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.84 Or (Eq (Not (Or (cA (skS.0 0 a)) (cB (skS.0 0 a)))) True)
% 4.59/4.84 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.59/4.84 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 4.59/4.84 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 4.59/4.84 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) True) (Eq (Not (cB (skS.0 0 a))) True)))))
% 4.59/4.84 Clause #93 (by clausification #[91]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.84 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.84 (Or (Eq (Not (cowlNothing (skS.0 1 a))) False)
% 4.59/4.84 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.84 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) True)
% 4.59/4.84 (Or (Eq (Not (cA (skS.0 0 a_2))) True) (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False)))))
% 4.59/4.87 Clause #94 (by clausification #[93]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.87 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.87 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.87 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) True)
% 4.59/4.87 (Or (Eq (Not (cA (skS.0 0 a_2))) True)
% 4.59/4.87 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False) (Eq (cowlNothing (skS.0 1 a)) True)))))
% 4.59/4.87 Clause #95 (by clausification #[94]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.87 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.87 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.87 (Or (Eq (Not (cA (skS.0 0 a_2))) True)
% 4.59/4.87 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False)
% 4.59/4.87 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) False)))))
% 4.59/4.87 Clause #96 (by clausification #[95]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.87 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.87 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.87 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False)
% 4.59/4.87 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.59/4.87 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq (cA (skS.0 0 a_2)) False)))))
% 4.59/4.87 Clause #98 (by clausification #[96]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.87 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.87 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.87 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.59/4.87 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Or (Eq (cA (skS.0 0 a_2)) False) (Eq (cA (skS.0 0 a_2)) False)))))
% 4.59/4.87 Clause #113 (by clausification #[84]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.87 Or (Eq (cB (skS.0 0 a)) True)
% 4.59/4.87 (Or (Eq (cA (skS.0 0 a)) True)
% 4.59/4.87 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (cB (skS.0 0 a_2)) True) (Eq (cA (skS.0 0 a_2)) True))))
% 4.59/4.87 Clause #119 (by equality factoring #[113]): ∀ (a a_1 : Iota),
% 4.59/4.87 Or (Eq (cB (skS.0 0 a)) True)
% 4.59/4.87 (Or (Eq (xsd_integer (skS.0 2 a_1)) True)
% 4.59/4.87 (Or (Eq (cB (skS.0 0 a)) True) (Or (Ne True True) (Eq (cA (skS.0 0 a)) True))))
% 4.59/4.87 Clause #120 (by clausification #[119]): ∀ (a a_1 : Iota),
% 4.59/4.87 Or (Eq (cB (skS.0 0 a)) True)
% 4.59/4.87 (Or (Eq (xsd_integer (skS.0 2 a_1)) True)
% 4.59/4.87 (Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cA (skS.0 0 a)) True) (Or (Eq True False) (Eq True False)))))
% 4.59/4.88 Clause #122 (by clausification #[120]): ∀ (a a_1 : Iota),
% 4.59/4.88 Or (Eq (cB (skS.0 0 a)) True)
% 4.59/4.88 (Or (Eq (xsd_integer (skS.0 2 a_1)) True)
% 4.59/4.88 (Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cA (skS.0 0 a)) True) (Eq True False))))
% 4.59/4.88 Clause #123 (by clausification #[122]): ∀ (a a_1 : Iota),
% 4.59/4.88 Or (Eq (cB (skS.0 0 a)) True)
% 4.59/4.88 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (cB (skS.0 0 a)) True) (Eq (cA (skS.0 0 a)) True)))
% 4.59/4.88 Clause #124 (by eliminate duplicate literals #[123]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cA (skS.0 0 a)) True))
% 4.59/4.88 Clause #125 (by superposition #[124, 88]): ∀ (a a_1 : Iota),
% 4.59/4.88 Or (Eq (cB (skS.0 0 a)) True)
% 4.59/4.88 (Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cB (skS.0 0 a_1)) True) (Or (Eq (cA (skS.0 0 a_1)) True) (Eq True False))))
% 4.59/4.88 Clause #128 (by clausification #[125]): ∀ (a a_1 : Iota),
% 4.59/4.88 Or (Eq (cB (skS.0 0 a)) True)
% 4.59/4.88 (Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cB (skS.0 0 a_1)) True) (Eq (cA (skS.0 0 a_1)) True)))
% 4.59/4.88 Clause #131 (by equality factoring #[128]): ∀ (a : Iota),
% 4.59/4.88 Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cB (skS.0 0 a)) True) (Or (Ne True True) (Eq (cA (skS.0 0 a)) True)))
% 4.59/4.88 Clause #132 (by clausification #[131]): ∀ (a : Iota),
% 4.59/4.88 Or (Eq (cB (skS.0 0 a)) True)
% 4.59/4.88 (Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cA (skS.0 0 a)) True) (Or (Eq True False) (Eq True False))))
% 4.59/4.88 Clause #134 (by clausification #[132]): ∀ (a : Iota),
% 4.59/4.88 Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cA (skS.0 0 a)) True) (Eq True False)))
% 4.59/4.88 Clause #135 (by clausification #[134]): ∀ (a : Iota), Or (Eq (cB (skS.0 0 a)) True) (Or (Eq (cB (skS.0 0 a)) True) (Eq (cA (skS.0 0 a)) True))
% 4.59/4.88 Clause #136 (by eliminate duplicate literals #[135]): ∀ (a : Iota), Or (Eq (cB (skS.0 0 a)) True) (Eq (cA (skS.0 0 a)) True)
% 4.59/4.88 Clause #138 (by clausification #[92]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.88 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.88 (Or (Eq (Not (cowlNothing (skS.0 1 a))) False)
% 4.59/4.90 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.90 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) True)
% 4.59/4.90 (Or (Eq (Not (cB (skS.0 0 a_2))) True) (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False)))))
% 4.59/4.90 Clause #139 (by clausification #[138]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.90 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.90 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.90 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) True)
% 4.59/4.90 (Or (Eq (Not (cB (skS.0 0 a_2))) True)
% 4.59/4.90 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False) (Eq (cowlNothing (skS.0 1 a)) True)))))
% 4.59/4.90 Clause #140 (by clausification #[139]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.90 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.90 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.90 (Or (Eq (Not (cB (skS.0 0 a_2))) True)
% 4.59/4.90 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False)
% 4.59/4.90 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) False)))))
% 4.59/4.90 Clause #141 (by clausification #[140]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.90 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.90 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.90 (Or (Eq (Or (cA (skS.0 0 a_2)) (cB (skS.0 0 a_2))) False)
% 4.59/4.90 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.59/4.90 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq (cB (skS.0 0 a_2)) False)))))
% 4.59/4.90 Clause #142 (by clausification #[141]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.90 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.90 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.90 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.59/4.90 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Or (Eq (cB (skS.0 0 a_2)) False) (Eq (cB (skS.0 0 a_2)) False)))))
% 4.59/4.90 Clause #144 (by eliminate duplicate literals #[142]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.90 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.90 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.90 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.59/4.90 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq (cB (skS.0 0 a_2)) False))))
% 4.59/4.90 Clause #145 (by forward demodulation #[144, 11]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.90 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.90 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.90 (Or (Eq False True) (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq (cB (skS.0 0 a_2)) False))))
% 4.59/4.90 Clause #146 (by clausification #[145]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.90 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.90 (Or (Eq (xsd_string (skS.0 2 a_1)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq (cB (skS.0 0 a_2)) False)))
% 4.59/4.90 Clause #147 (by superposition #[146, 10]): ∀ (a a_1 : Iota),
% 4.59/4.90 Or (Eq (xsd_string (skS.0 2 a)) True)
% 4.59/4.90 (Or (Eq (xsd_integer (skS.0 2 a)) False) (Or (Eq (cB (skS.0 0 a_1)) False) (Eq False True)))
% 4.59/4.90 Clause #148 (by clausification #[147]): ∀ (a a_1 : Iota),
% 4.59/4.90 Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (xsd_integer (skS.0 2 a)) False) (Eq (cB (skS.0 0 a_1)) False))
% 4.59/4.90 Clause #149 (by superposition #[148, 6]): ∀ (a a_1 : Iota),
% 4.59/4.90 Or (Eq (xsd_string (skS.0 2 a)) True)
% 4.59/4.90 (Or (Eq (cB (skS.0 0 a_1)) False) (Or (Eq (xsd_string (skS.0 2 a)) True) (Eq False True)))
% 4.59/4.90 Clause #150 (by clausification #[149]): ∀ (a a_1 : Iota),
% 4.59/4.90 Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (cB (skS.0 0 a_1)) False) (Eq (xsd_string (skS.0 2 a)) True))
% 4.59/4.90 Clause #151 (by eliminate duplicate literals #[150]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq (cB (skS.0 0 a_1)) False)
% 4.59/4.90 Clause #153 (by eliminate duplicate literals #[98]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.90 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.90 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.90 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.59/4.90 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq (cA (skS.0 0 a_2)) False))))
% 4.59/4.90 Clause #154 (by forward demodulation #[153, 11]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.90 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.90 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.90 (Or (Eq False True) (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq (cA (skS.0 0 a_2)) False))))
% 4.59/4.90 Clause #155 (by clausification #[154]): ∀ (a a_1 a_2 : Iota),
% 4.59/4.90 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.59/4.90 (Or (Eq (xsd_string (skS.0 2 a_1)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq (cA (skS.0 0 a_2)) False)))
% 4.59/4.90 Clause #156 (by superposition #[155, 10]): ∀ (a a_1 : Iota),
% 4.59/4.92 Or (Eq (xsd_string (skS.0 2 a)) True)
% 4.59/4.92 (Or (Eq (xsd_integer (skS.0 2 a)) False) (Or (Eq (cA (skS.0 0 a_1)) False) (Eq False True)))
% 4.59/4.92 Clause #157 (by clausification #[156]): ∀ (a a_1 : Iota),
% 4.59/4.92 Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (xsd_integer (skS.0 2 a)) False) (Eq (cA (skS.0 0 a_1)) False))
% 4.59/4.92 Clause #158 (by superposition #[157, 6]): ∀ (a a_1 : Iota),
% 4.59/4.92 Or (Eq (xsd_string (skS.0 2 a)) True)
% 4.59/4.92 (Or (Eq (cA (skS.0 0 a_1)) False) (Or (Eq (xsd_string (skS.0 2 a)) True) (Eq False True)))
% 4.59/4.92 Clause #159 (by clausification #[158]): ∀ (a a_1 : Iota),
% 4.59/4.92 Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (cA (skS.0 0 a_1)) False) (Eq (xsd_string (skS.0 2 a)) True))
% 4.59/4.92 Clause #160 (by eliminate duplicate literals #[159]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq (cA (skS.0 0 a_1)) False)
% 4.59/4.92 Clause #161 (by superposition #[160, 136]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (cB (skS.0 0 a_1)) True) (Eq False True))
% 4.59/4.92 Clause #162 (by clausification #[161]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq (cB (skS.0 0 a_1)) True)
% 4.59/4.92 Clause #166 (by superposition #[162, 151]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (xsd_string (skS.0 2 a_1)) True) (Eq True False))
% 4.59/4.92 Clause #167 (by clausification #[166]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.59/4.92 Clause #171 (by equality factoring #[167]): ∀ (a : Iota), Or (Ne True True) (Eq (xsd_string (skS.0 2 a)) True)
% 4.59/4.92 Clause #172 (by clausification #[171]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq True False) (Eq True False))
% 4.59/4.92 Clause #174 (by clausification #[172]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq True False)
% 4.59/4.92 Clause #175 (by clausification #[174]): ∀ (a : Iota), Eq (xsd_string (skS.0 2 a)) True
% 4.59/4.92 Clause #176 (by backward demodulation #[175, 57]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (cA (skS.0 0 a_1)) False))
% 4.59/4.92 Clause #177 (by backward demodulation #[175, 79]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (cB (skS.0 0 a_1)) False))
% 4.59/4.92 Clause #178 (by superposition #[175, 7]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 2 a)) False)
% 4.59/4.92 Clause #180 (by clausification #[178]): ∀ (a : Iota), Eq (xsd_integer (skS.0 2 a)) False
% 4.59/4.92 Clause #182 (by clausification #[177]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (cB (skS.0 0 a_1)) False)
% 4.59/4.92 Clause #183 (by clausification #[176]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (cA (skS.0 0 a_1)) False)
% 4.59/4.92 Clause #184 (by superposition #[183, 136]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Or (Eq (cB (skS.0 0 a_1)) True) (Eq False True))
% 4.59/4.92 Clause #186 (by clausification #[184]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (cB (skS.0 0 a_1)) True)
% 4.59/4.92 Clause #187 (by superposition #[186, 180]): ∀ (a : Iota), Or (Eq (cB (skS.0 0 a)) True) (Eq True False)
% 4.59/4.92 Clause #189 (by clausification #[187]): ∀ (a : Iota), Eq (cB (skS.0 0 a)) True
% 4.59/4.92 Clause #191 (by superposition #[189, 182]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq True False)
% 4.59/4.92 Clause #192 (by clausification #[191]): ∀ (a : Iota), Eq (xsd_integer (skS.0 2 a)) True
% 4.59/4.92 Clause #193 (by superposition #[192, 180]): Eq True False
% 4.59/4.92 Clause #194 (by clausification #[193]): False
% 4.59/4.92 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------