TSTP Solution File: KRS175+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KRS175+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n020.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 05:43:37 EDT 2023
% Result : Theorem 4.77s 4.95s
% Output : Proof 5.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS175+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n020.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 01:30:44 EDT 2023
% 0.13/0.34 % CPUTime :
% 4.77/4.95 SZS status Theorem for theBenchmark.p
% 4.77/4.95 SZS output start Proof for theBenchmark.p
% 4.77/4.95 Clause #7 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True
% 4.77/4.95 Clause #8 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True
% 4.77/4.95 Clause #9 (by assumption #[]): Eq (∀ (X : Iota), Iff (cA X) (Eq X ia)) True
% 4.77/4.95 Clause #10 (by assumption #[]): Eq (∀ (X : Iota), Iff (cA_and_B X) (Or (cA X) (cB X))) True
% 4.77/4.95 Clause #11 (by assumption #[]): Eq (∀ (X : Iota), Iff (cB X) (Eq X ib)) True
% 4.77/4.95 Clause #14 (by assumption #[]): Eq
% 4.77/4.95 (Not
% 4.77/4.95 (And
% 4.77/4.95 (And
% 4.77/4.95 (And
% 4.77/4.95 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 4.77/4.95 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 4.77/4.95 (∀ (X : Iota), Iff (cA_and_B X) (Or (Eq X ib) (Eq X ia))))
% 4.77/4.95 (cowlThing ia))
% 4.77/4.95 (cowlThing ib)))
% 4.77/4.95 True
% 4.77/4.95 Clause #57 (by clausification #[7]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True
% 4.77/4.95 Clause #58 (by clausification #[57]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True
% 4.77/4.95 Clause #59 (by clausification #[57]): ∀ (a : Iota), Eq (cowlThing a) True
% 4.77/4.95 Clause #60 (by clausification #[58]): ∀ (a : Iota), Eq (cowlNothing a) False
% 4.77/4.95 Clause #61 (by clausification #[8]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True
% 4.77/4.95 Clause #62 (by clausification #[61]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False)
% 4.77/4.95 Clause #63 (by clausification #[61]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True)
% 4.77/4.95 Clause #64 (by clausification #[62]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True)
% 4.77/4.95 Clause #65 (by clausification #[63]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False)
% 4.77/4.95 Clause #68 (by clausification #[11]): ∀ (a : Iota), Eq (Iff (cB a) (Eq a ib)) True
% 4.77/4.95 Clause #69 (by clausification #[68]): ∀ (a : Iota), Or (Eq (cB a) True) (Eq (Eq a ib) False)
% 4.77/4.95 Clause #70 (by clausification #[68]): ∀ (a : Iota), Or (Eq (cB a) False) (Eq (Eq a ib) True)
% 4.77/4.95 Clause #71 (by clausification #[69]): ∀ (a : Iota), Or (Eq (cB a) True) (Ne a ib)
% 4.77/4.95 Clause #72 (by destructive equality resolution #[71]): Eq (cB ib) True
% 4.77/4.95 Clause #73 (by clausification #[70]): ∀ (a : Iota), Or (Eq (cB a) False) (Eq a ib)
% 4.77/4.95 Clause #76 (by clausification #[9]): ∀ (a : Iota), Eq (Iff (cA a) (Eq a ia)) True
% 4.77/4.95 Clause #77 (by clausification #[76]): ∀ (a : Iota), Or (Eq (cA a) True) (Eq (Eq a ia) False)
% 4.77/4.95 Clause #78 (by clausification #[76]): ∀ (a : Iota), Or (Eq (cA a) False) (Eq (Eq a ia) True)
% 4.77/4.95 Clause #79 (by clausification #[77]): ∀ (a : Iota), Or (Eq (cA a) True) (Ne a ia)
% 4.77/4.95 Clause #80 (by destructive equality resolution #[79]): Eq (cA ia) True
% 4.77/4.95 Clause #81 (by clausification #[78]): ∀ (a : Iota), Or (Eq (cA a) False) (Eq a ia)
% 4.77/4.95 Clause #84 (by clausification #[10]): ∀ (a : Iota), Eq (Iff (cA_and_B a) (Or (cA a) (cB a))) True
% 4.77/4.95 Clause #85 (by clausification #[84]): ∀ (a : Iota), Or (Eq (cA_and_B a) True) (Eq (Or (cA a) (cB a)) False)
% 4.77/4.95 Clause #86 (by clausification #[84]): ∀ (a : Iota), Or (Eq (cA_and_B a) False) (Eq (Or (cA a) (cB a)) True)
% 4.77/4.95 Clause #87 (by clausification #[85]): ∀ (a : Iota), Or (Eq (cA_and_B a) True) (Eq (cB a) False)
% 4.77/4.95 Clause #88 (by clausification #[85]): ∀ (a : Iota), Or (Eq (cA_and_B a) True) (Eq (cA a) False)
% 4.77/4.95 Clause #89 (by superposition #[87, 72]): Or (Eq (cA_and_B ib) True) (Eq False True)
% 4.77/4.95 Clause #90 (by clausification #[89]): Eq (cA_and_B ib) True
% 4.77/4.95 Clause #91 (by superposition #[88, 80]): Or (Eq (cA_and_B ia) True) (Eq False True)
% 4.77/4.95 Clause #92 (by clausification #[14]): Eq
% 4.77/4.95 (And
% 4.77/4.95 (And
% 4.77/4.95 (And
% 4.77/4.95 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 4.77/4.95 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 4.77/4.95 (∀ (X : Iota), Iff (cA_and_B X) (Or (Eq X ib) (Eq X ia))))
% 4.77/4.95 (cowlThing ia))
% 4.77/4.95 (cowlThing ib))
% 4.77/4.95 False
% 4.77/4.95 Clause #93 (by clausification #[92]): Or
% 4.77/4.95 (Eq
% 4.77/4.95 (And
% 4.77/4.95 (And
% 4.77/4.95 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 4.77/4.95 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 4.77/4.95 (∀ (X : Iota), Iff (cA_and_B X) (Or (Eq X ib) (Eq X ia))))
% 4.81/4.97 (cowlThing ia))
% 4.81/4.97 False)
% 4.81/4.97 (Eq (cowlThing ib) False)
% 4.81/4.97 Clause #94 (by clausification #[93]): Or (Eq (cowlThing ib) False)
% 4.81/4.97 (Or
% 4.81/4.97 (Eq
% 4.81/4.97 (And
% 4.81/4.97 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 4.81/4.97 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 4.81/4.97 (∀ (X : Iota), Iff (cA_and_B X) (Or (Eq X ib) (Eq X ia))))
% 4.81/4.97 False)
% 4.81/4.97 (Eq (cowlThing ia) False))
% 4.81/4.97 Clause #95 (by clausification #[94]): Or (Eq (cowlThing ib) False)
% 4.81/4.97 (Or (Eq (cowlThing ia) False)
% 4.81/4.97 (Or
% 4.81/4.97 (Eq
% 4.81/4.97 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 4.81/4.97 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 4.81/4.97 False)
% 4.81/4.97 (Eq (∀ (X : Iota), Iff (cA_and_B X) (Or (Eq X ib) (Eq X ia))) False)))
% 4.81/4.97 Clause #96 (by clausification #[95]): Or (Eq (cowlThing ib) False)
% 4.81/4.97 (Or (Eq (cowlThing ia) False)
% 4.81/4.97 (Or (Eq (∀ (X : Iota), Iff (cA_and_B X) (Or (Eq X ib) (Eq X ia))) False)
% 4.81/4.97 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False)
% 4.81/4.97 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False))))
% 4.81/4.97 Clause #97 (by clausification #[96]): ∀ (a : Iota),
% 4.81/4.97 Or (Eq (cowlThing ib) False)
% 4.81/4.97 (Or (Eq (cowlThing ia) False)
% 4.81/4.97 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False)
% 4.81/4.97 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)
% 4.81/4.97 (Eq (Not (Iff (cA_and_B (skS.0 0 a)) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia)))) True))))
% 4.81/4.97 Clause #98 (by clausification #[97]): ∀ (a a_1 : Iota),
% 4.81/4.97 Or (Eq (cowlThing ib) False)
% 4.81/4.97 (Or (Eq (cowlThing ia) False)
% 4.81/4.97 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)
% 4.81/4.97 (Or (Eq (Not (Iff (cA_and_B (skS.0 0 a)) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia)))) True)
% 4.81/4.97 (Eq (Not (And (cowlThing (skS.0 1 a_1)) (Not (cowlNothing (skS.0 1 a_1))))) True))))
% 4.81/4.97 Clause #99 (by clausification #[98]): ∀ (a a_1 a_2 : Iota),
% 4.81/4.97 Or (Eq (cowlThing ib) False)
% 4.81/4.97 (Or (Eq (cowlThing ia) False)
% 4.81/4.97 (Or (Eq (Not (Iff (cA_and_B (skS.0 0 a)) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia)))) True)
% 4.81/4.97 (Or (Eq (Not (And (cowlThing (skS.0 1 a_1)) (Not (cowlNothing (skS.0 1 a_1))))) True)
% 4.81/4.97 (Eq (Not (Iff (xsd_string (skS.0 2 a_2)) (Not (xsd_integer (skS.0 2 a_2))))) True))))
% 4.81/4.97 Clause #100 (by clausification #[99]): ∀ (a a_1 a_2 : Iota),
% 4.81/4.97 Or (Eq (cowlThing ib) False)
% 4.81/4.97 (Or (Eq (cowlThing ia) False)
% 4.81/4.97 (Or (Eq (Not (And (cowlThing (skS.0 1 a)) (Not (cowlNothing (skS.0 1 a))))) True)
% 4.81/4.97 (Or (Eq (Not (Iff (xsd_string (skS.0 2 a_1)) (Not (xsd_integer (skS.0 2 a_1))))) True)
% 4.81/4.97 (Eq (Iff (cA_and_B (skS.0 0 a_2)) (Or (Eq (skS.0 0 a_2) ib) (Eq (skS.0 0 a_2) ia))) False))))
% 4.81/4.97 Clause #101 (by clausification #[100]): ∀ (a a_1 a_2 : Iota),
% 4.81/4.97 Or (Eq (cowlThing ib) False)
% 4.81/4.97 (Or (Eq (cowlThing ia) False)
% 4.81/4.97 (Or (Eq (Not (Iff (xsd_string (skS.0 2 a)) (Not (xsd_integer (skS.0 2 a))))) True)
% 4.81/4.97 (Or (Eq (Iff (cA_and_B (skS.0 0 a_1)) (Or (Eq (skS.0 0 a_1) ib) (Eq (skS.0 0 a_1) ia))) False)
% 4.81/4.97 (Eq (And (cowlThing (skS.0 1 a_2)) (Not (cowlNothing (skS.0 1 a_2)))) False))))
% 4.81/4.97 Clause #102 (by clausification #[101]): ∀ (a a_1 a_2 : Iota),
% 4.81/4.97 Or (Eq (cowlThing ib) False)
% 4.81/4.97 (Or (Eq (cowlThing ia) False)
% 4.81/4.97 (Or (Eq (Iff (cA_and_B (skS.0 0 a)) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia))) False)
% 4.81/4.97 (Or (Eq (And (cowlThing (skS.0 1 a_1)) (Not (cowlNothing (skS.0 1 a_1)))) False)
% 4.81/4.97 (Eq (Iff (xsd_string (skS.0 2 a_2)) (Not (xsd_integer (skS.0 2 a_2)))) False))))
% 4.81/4.97 Clause #103 (by clausification #[102]): ∀ (a a_1 a_2 : Iota),
% 4.81/4.97 Or (Eq (cowlThing ib) False)
% 4.81/4.97 (Or (Eq (cowlThing ia) False)
% 4.81/4.97 (Or (Eq (And (cowlThing (skS.0 1 a)) (Not (cowlNothing (skS.0 1 a)))) False)
% 4.81/4.97 (Or (Eq (Iff (xsd_string (skS.0 2 a_1)) (Not (xsd_integer (skS.0 2 a_1)))) False)
% 4.81/4.97 (Or (Eq (cA_and_B (skS.0 0 a_2)) False) (Eq (Or (Eq (skS.0 0 a_2) ib) (Eq (skS.0 0 a_2) ia)) False)))))
% 4.81/4.97 Clause #104 (by clausification #[102]): ∀ (a a_1 a_2 : Iota),
% 4.81/4.97 Or (Eq (cowlThing ib) False)
% 4.81/4.97 (Or (Eq (cowlThing ia) False)
% 4.81/4.99 (Or (Eq (And (cowlThing (skS.0 1 a)) (Not (cowlNothing (skS.0 1 a)))) False)
% 4.81/4.99 (Or (Eq (Iff (xsd_string (skS.0 2 a_1)) (Not (xsd_integer (skS.0 2 a_1)))) False)
% 4.81/4.99 (Or (Eq (cA_and_B (skS.0 0 a_2)) True) (Eq (Or (Eq (skS.0 0 a_2) ib) (Eq (skS.0 0 a_2) ia)) True)))))
% 4.81/4.99 Clause #105 (by clausification #[103]): ∀ (a a_1 a_2 : Iota),
% 4.81/4.99 Or (Eq (cowlThing ib) False)
% 4.81/4.99 (Or (Eq (cowlThing ia) False)
% 4.81/4.99 (Or (Eq (Iff (xsd_string (skS.0 2 a)) (Not (xsd_integer (skS.0 2 a)))) False)
% 4.81/4.99 (Or (Eq (cA_and_B (skS.0 0 a_1)) False)
% 4.81/4.99 (Or (Eq (Or (Eq (skS.0 0 a_1) ib) (Eq (skS.0 0 a_1) ia)) False)
% 4.81/4.99 (Or (Eq (cowlThing (skS.0 1 a_2)) False) (Eq (Not (cowlNothing (skS.0 1 a_2))) False))))))
% 4.81/4.99 Clause #106 (by clausification #[105]): ∀ (a a_1 a_2 : Iota),
% 4.81/4.99 Or (Eq (cowlThing ib) False)
% 4.81/4.99 (Or (Eq (cowlThing ia) False)
% 4.81/4.99 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.81/4.99 (Or (Eq (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia)) False)
% 4.81/4.99 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.81/4.99 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 4.81/4.99 (Or (Eq (xsd_string (skS.0 2 a_2)) False) (Eq (Not (xsd_integer (skS.0 2 a_2))) False)))))))
% 4.81/4.99 Clause #107 (by clausification #[105]): ∀ (a a_1 a_2 : Iota),
% 4.81/4.99 Or (Eq (cowlThing ib) False)
% 4.81/4.99 (Or (Eq (cowlThing ia) False)
% 4.81/4.99 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.81/4.99 (Or (Eq (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia)) False)
% 4.81/4.99 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.81/4.99 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 4.81/4.99 (Or (Eq (xsd_string (skS.0 2 a_2)) True) (Eq (Not (xsd_integer (skS.0 2 a_2))) True)))))))
% 4.81/4.99 Clause #108 (by clausification #[106]): ∀ (a a_1 a_2 : Iota),
% 4.81/4.99 Or (Eq (cowlThing ib) False)
% 4.81/4.99 (Or (Eq (cowlThing ia) False)
% 4.81/4.99 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.81/4.99 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.81/4.99 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 4.81/4.99 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.81/4.99 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) False) (Eq (Eq (skS.0 0 a) ia) False)))))))
% 4.81/4.99 Clause #109 (by clausification #[106]): ∀ (a a_1 a_2 : Iota),
% 4.81/4.99 Or (Eq (cowlThing ib) False)
% 4.81/4.99 (Or (Eq (cowlThing ia) False)
% 4.81/4.99 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.81/4.99 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.81/4.99 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 4.81/4.99 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.81/4.99 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) False) (Eq (Eq (skS.0 0 a) ib) False)))))))
% 4.81/4.99 Clause #110 (by clausification #[108]): ∀ (a a_1 a_2 : Iota),
% 4.81/4.99 Or (Eq (cowlThing ib) False)
% 4.81/4.99 (Or (Eq (cowlThing ia) False)
% 4.81/4.99 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.81/4.99 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.81/4.99 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.81/4.99 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) False)
% 4.81/4.99 (Or (Eq (Eq (skS.0 0 a) ia) False) (Eq (cowlNothing (skS.0 1 a_1)) True)))))))
% 4.81/4.99 Clause #111 (by clausification #[110]): ∀ (a a_1 a_2 : Iota),
% 4.81/4.99 Or (Eq (cowlThing ib) False)
% 4.81/4.99 (Or (Eq (cowlThing ia) False)
% 4.81/4.99 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.81/4.99 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.81/4.99 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.81/4.99 (Or (Eq (Eq (skS.0 0 a) ia) False)
% 4.81/4.99 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 2 a_2)) True)))))))
% 4.81/4.99 Clause #112 (by clausification #[111]): ∀ (a a_1 a_2 : Iota),
% 4.81/4.99 Or (Eq (cowlThing ib) False)
% 4.81/4.99 (Or (Eq (cowlThing ia) False)
% 4.81/4.99 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.81/4.99 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.81/4.99 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.81/4.99 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.81/4.99 (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Ne (skS.0 0 a) ia)))))))
% 4.81/4.99 Clause #113 (by forward demodulation #[112, 59]): ∀ (a a_1 a_2 : Iota),
% 4.81/4.99 Or (Eq True False)
% 4.81/4.99 (Or (Eq (cowlThing ia) False)
% 4.81/4.99 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.81/4.99 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.81/4.99 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.81/4.99 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.81/5.02 (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Ne (skS.0 0 a) ia)))))))
% 4.81/5.02 Clause #114 (by clausification #[113]): ∀ (a a_1 a_2 : Iota),
% 4.81/5.02 Or (Eq (cowlThing ia) False)
% 4.81/5.02 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.81/5.02 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.81/5.02 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.81/5.02 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Ne (skS.0 0 a) ia))))))
% 4.81/5.02 Clause #115 (by forward demodulation #[114, 59]): ∀ (a a_1 a_2 : Iota),
% 4.81/5.02 Or (Eq True False)
% 4.81/5.02 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.81/5.02 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.81/5.02 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.81/5.02 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Ne (skS.0 0 a) ia))))))
% 4.81/5.02 Clause #116 (by clausification #[115]): ∀ (a a_1 a_2 : Iota),
% 4.81/5.02 Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.81/5.02 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.81/5.02 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.81/5.02 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Ne (skS.0 0 a) ia)))))
% 4.81/5.02 Clause #117 (by forward demodulation #[116, 59]): ∀ (a a_1 a_2 : Iota),
% 4.81/5.02 Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.81/5.02 (Or (Eq True False)
% 4.81/5.02 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.81/5.02 (Or (Eq (cowlNothing (skS.0 1 a_2)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Ne (skS.0 0 a) ia)))))
% 4.81/5.02 Clause #118 (by clausification #[117]): ∀ (a a_1 a_2 : Iota),
% 4.81/5.02 Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.81/5.02 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.81/5.02 (Or (Eq (cowlNothing (skS.0 1 a_2)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Ne (skS.0 0 a) ia))))
% 4.81/5.02 Clause #119 (by clausification #[91]): Eq (cA_and_B ia) True
% 4.81/5.02 Clause #120 (by clausification #[86]): ∀ (a : Iota), Or (Eq (cA_and_B a) False) (Or (Eq (cA a) True) (Eq (cB a) True))
% 4.81/5.02 Clause #126 (by clausification #[109]): ∀ (a a_1 a_2 : Iota),
% 4.81/5.02 Or (Eq (cowlThing ib) False)
% 4.81/5.02 (Or (Eq (cowlThing ia) False)
% 4.81/5.02 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.81/5.02 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.81/5.02 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.81/5.02 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) False)
% 4.81/5.02 (Or (Eq (Eq (skS.0 0 a) ib) False) (Eq (cowlNothing (skS.0 1 a_1)) True)))))))
% 4.81/5.02 Clause #127 (by clausification #[126]): ∀ (a a_1 a_2 : Iota),
% 4.81/5.02 Or (Eq (cowlThing ib) False)
% 4.81/5.02 (Or (Eq (cowlThing ia) False)
% 4.81/5.02 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.81/5.02 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.81/5.02 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.81/5.02 (Or (Eq (Eq (skS.0 0 a) ib) False)
% 4.81/5.02 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 2 a_2)) True)))))))
% 4.81/5.02 Clause #128 (by clausification #[127]): ∀ (a a_1 a_2 : Iota),
% 4.81/5.02 Or (Eq (cowlThing ib) False)
% 4.81/5.02 (Or (Eq (cowlThing ia) False)
% 4.81/5.02 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.81/5.02 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.81/5.02 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.81/5.02 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.81/5.02 (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Ne (skS.0 0 a) ib)))))))
% 4.81/5.02 Clause #129 (by forward demodulation #[128, 59]): ∀ (a a_1 a_2 : Iota),
% 4.81/5.02 Or (Eq True False)
% 4.81/5.02 (Or (Eq (cowlThing ia) False)
% 4.81/5.02 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.81/5.02 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.81/5.02 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.81/5.02 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.81/5.02 (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Ne (skS.0 0 a) ib)))))))
% 4.81/5.02 Clause #130 (by clausification #[129]): ∀ (a a_1 a_2 : Iota),
% 4.81/5.02 Or (Eq (cowlThing ia) False)
% 4.81/5.02 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.81/5.02 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.81/5.02 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.81/5.02 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Ne (skS.0 0 a) ib))))))
% 4.81/5.02 Clause #131 (by forward demodulation #[130, 59]): ∀ (a a_1 a_2 : Iota),
% 4.81/5.02 Or (Eq True False)
% 4.81/5.02 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.81/5.02 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.81/5.02 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.89/5.04 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Ne (skS.0 0 a) ib))))))
% 4.89/5.04 Clause #132 (by clausification #[131]): ∀ (a a_1 a_2 : Iota),
% 4.89/5.04 Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.89/5.04 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.89/5.04 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.89/5.04 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Ne (skS.0 0 a) ib)))))
% 4.89/5.04 Clause #133 (by forward demodulation #[132, 59]): ∀ (a a_1 a_2 : Iota),
% 4.89/5.04 Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.89/5.04 (Or (Eq True False)
% 4.89/5.04 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.89/5.04 (Or (Eq (cowlNothing (skS.0 1 a_2)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Ne (skS.0 0 a) ib)))))
% 4.89/5.04 Clause #134 (by clausification #[133]): ∀ (a a_1 a_2 : Iota),
% 4.89/5.04 Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.89/5.04 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.89/5.04 (Or (Eq (cowlNothing (skS.0 1 a_2)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Ne (skS.0 0 a) ib))))
% 4.89/5.04 Clause #135 (by clausification #[104]): ∀ (a a_1 a_2 : Iota),
% 4.89/5.04 Or (Eq (cowlThing ib) False)
% 4.89/5.04 (Or (Eq (cowlThing ia) False)
% 4.89/5.04 (Or (Eq (Iff (xsd_string (skS.0 2 a)) (Not (xsd_integer (skS.0 2 a)))) False)
% 4.89/5.04 (Or (Eq (cA_and_B (skS.0 0 a_1)) True)
% 4.89/5.04 (Or (Eq (Or (Eq (skS.0 0 a_1) ib) (Eq (skS.0 0 a_1) ia)) True)
% 4.89/5.04 (Or (Eq (cowlThing (skS.0 1 a_2)) False) (Eq (Not (cowlNothing (skS.0 1 a_2))) False))))))
% 4.89/5.04 Clause #136 (by clausification #[135]): ∀ (a a_1 a_2 : Iota),
% 4.89/5.04 Or (Eq (cowlThing ib) False)
% 4.89/5.04 (Or (Eq (cowlThing ia) False)
% 4.89/5.04 (Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.89/5.04 (Or (Eq (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia)) True)
% 4.89/5.04 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.89/5.04 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 4.89/5.04 (Or (Eq (xsd_string (skS.0 2 a_2)) False) (Eq (Not (xsd_integer (skS.0 2 a_2))) False)))))))
% 4.89/5.04 Clause #137 (by clausification #[135]): ∀ (a a_1 a_2 : Iota),
% 4.89/5.04 Or (Eq (cowlThing ib) False)
% 4.89/5.04 (Or (Eq (cowlThing ia) False)
% 4.89/5.04 (Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.89/5.04 (Or (Eq (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia)) True)
% 4.89/5.04 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.89/5.04 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 4.89/5.04 (Or (Eq (xsd_string (skS.0 2 a_2)) True) (Eq (Not (xsd_integer (skS.0 2 a_2))) True)))))))
% 4.89/5.04 Clause #138 (by clausification #[136]): ∀ (a a_1 a_2 : Iota),
% 4.89/5.04 Or (Eq (cowlThing ib) False)
% 4.89/5.04 (Or (Eq (cowlThing ia) False)
% 4.89/5.04 (Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.89/5.04 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.89/5.04 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 4.89/5.04 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.89/5.04 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) False)
% 4.89/5.04 (Or (Eq (Eq (skS.0 0 a) ib) True) (Eq (Eq (skS.0 0 a) ia) True))))))))
% 4.89/5.04 Clause #139 (by clausification #[138]): ∀ (a a_1 a_2 : Iota),
% 4.89/5.04 Or (Eq (cowlThing ib) False)
% 4.89/5.04 (Or (Eq (cowlThing ia) False)
% 4.89/5.04 (Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.89/5.04 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.89/5.04 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.89/5.04 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) False)
% 4.89/5.04 (Or (Eq (Eq (skS.0 0 a) ib) True)
% 4.89/5.04 (Or (Eq (Eq (skS.0 0 a) ia) True) (Eq (cowlNothing (skS.0 1 a_1)) True))))))))
% 4.89/5.04 Clause #140 (by clausification #[139]): ∀ (a a_1 a_2 : Iota),
% 4.89/5.04 Or (Eq (cowlThing ib) False)
% 4.89/5.04 (Or (Eq (cowlThing ia) False)
% 4.89/5.04 (Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.89/5.04 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.89/5.04 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.89/5.04 (Or (Eq (Eq (skS.0 0 a) ib) True)
% 4.89/5.04 (Or (Eq (Eq (skS.0 0 a) ia) True)
% 4.89/5.04 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 2 a_2)) True))))))))
% 4.89/5.04 Clause #141 (by clausification #[140]): ∀ (a a_1 a_2 : Iota),
% 4.89/5.04 Or (Eq (cowlThing ib) False)
% 4.89/5.04 (Or (Eq (cowlThing ia) False)
% 4.89/5.04 (Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.89/5.04 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.89/5.04 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.89/5.04 (Or (Eq (Eq (skS.0 0 a) ia) True)
% 4.89/5.07 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.89/5.07 (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Eq (skS.0 0 a) ib))))))))
% 4.89/5.07 Clause #142 (by clausification #[141]): ∀ (a a_1 a_2 : Iota),
% 4.89/5.07 Or (Eq (cowlThing ib) False)
% 4.89/5.07 (Or (Eq (cowlThing ia) False)
% 4.89/5.07 (Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.89/5.07 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.89/5.07 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.89/5.07 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.89/5.07 (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia))))))))
% 4.89/5.07 Clause #143 (by forward demodulation #[142, 59]): ∀ (a a_1 a_2 : Iota),
% 4.89/5.07 Or (Eq True False)
% 4.89/5.07 (Or (Eq (cowlThing ia) False)
% 4.89/5.07 (Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.89/5.07 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.89/5.07 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.89/5.07 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.89/5.07 (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia))))))))
% 4.89/5.07 Clause #144 (by clausification #[143]): ∀ (a a_1 a_2 : Iota),
% 4.89/5.07 Or (Eq (cowlThing ia) False)
% 4.89/5.07 (Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.89/5.07 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.89/5.07 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.89/5.07 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.89/5.07 (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia)))))))
% 4.89/5.07 Clause #145 (by forward demodulation #[144, 59]): ∀ (a a_1 a_2 : Iota),
% 4.89/5.07 Or (Eq True False)
% 4.89/5.07 (Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.89/5.07 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.89/5.07 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.89/5.07 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.89/5.07 (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia)))))))
% 4.89/5.07 Clause #146 (by clausification #[145]): ∀ (a a_1 a_2 : Iota),
% 4.89/5.07 Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.89/5.07 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.89/5.07 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.89/5.07 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.89/5.07 (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia))))))
% 4.89/5.07 Clause #147 (by forward demodulation #[146, 59]): ∀ (a a_1 a_2 : Iota),
% 4.89/5.07 Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.89/5.07 (Or (Eq True False)
% 4.89/5.07 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.89/5.07 (Or (Eq (cowlNothing (skS.0 1 a_2)) True)
% 4.89/5.07 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia))))))
% 4.89/5.07 Clause #148 (by clausification #[147]): ∀ (a a_1 a_2 : Iota),
% 4.89/5.07 Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.89/5.07 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.89/5.07 (Or (Eq (cowlNothing (skS.0 1 a_2)) True)
% 4.89/5.07 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia)))))
% 4.89/5.07 Clause #149 (by superposition #[148, 64]): ∀ (a a_1 a_2 : Iota),
% 4.89/5.07 Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.89/5.07 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.89/5.07 (Or (Eq (xsd_integer (skS.0 2 a_2)) True)
% 4.89/5.07 (Or (Eq (skS.0 0 a) ib) (Or (Eq (skS.0 0 a) ia) (Or (Eq False True) (Eq (xsd_integer (skS.0 2 a_2)) True))))))
% 4.89/5.07 Clause #150 (by clausification #[149]): ∀ (a a_1 a_2 : Iota),
% 4.89/5.07 Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.89/5.07 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.89/5.07 (Or (Eq (xsd_integer (skS.0 2 a_2)) True)
% 4.89/5.07 (Or (Eq (skS.0 0 a) ib) (Or (Eq (skS.0 0 a) ia) (Eq (xsd_integer (skS.0 2 a_2)) True)))))
% 4.89/5.07 Clause #151 (by eliminate duplicate literals #[150]): ∀ (a a_1 a_2 : Iota),
% 4.89/5.07 Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.89/5.07 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.89/5.07 (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia))))
% 4.89/5.07 Clause #155 (by superposition #[151, 60]): ∀ (a a_1 : Iota),
% 4.89/5.07 Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.89/5.07 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (skS.0 0 a) ib) (Or (Eq (skS.0 0 a) ia) (Eq True False))))
% 4.89/5.07 Clause #156 (by clausification #[155]): ∀ (a a_1 : Iota),
% 4.89/5.07 Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.89/5.07 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia)))
% 4.89/5.07 Clause #159 (by superposition #[156, 120]): ∀ (a a_1 : Iota),
% 4.92/5.09 Or (Eq (xsd_integer (skS.0 2 a)) True)
% 4.92/5.09 (Or (Eq (skS.0 0 a_1) ib)
% 4.92/5.09 (Or (Eq (skS.0 0 a_1) ia) (Or (Eq True False) (Or (Eq (cA (skS.0 0 a_1)) True) (Eq (cB (skS.0 0 a_1)) True)))))
% 4.92/5.09 Clause #160 (by clausification #[159]): ∀ (a a_1 : Iota),
% 4.92/5.09 Or (Eq (xsd_integer (skS.0 2 a)) True)
% 4.92/5.09 (Or (Eq (skS.0 0 a_1) ib) (Or (Eq (skS.0 0 a_1) ia) (Or (Eq (cA (skS.0 0 a_1)) True) (Eq (cB (skS.0 0 a_1)) True))))
% 4.92/5.09 Clause #161 (by superposition #[160, 81]): ∀ (a a_1 : Iota),
% 4.92/5.09 Or (Eq (xsd_integer (skS.0 2 a)) True)
% 4.92/5.09 (Or (Eq (skS.0 0 a_1) ib)
% 4.92/5.09 (Or (Eq (skS.0 0 a_1) ia) (Or (Eq (cB (skS.0 0 a_1)) True) (Or (Eq True False) (Eq (skS.0 0 a_1) ia)))))
% 4.92/5.09 Clause #163 (by clausification #[161]): ∀ (a a_1 : Iota),
% 4.92/5.09 Or (Eq (xsd_integer (skS.0 2 a)) True)
% 4.92/5.09 (Or (Eq (skS.0 0 a_1) ib) (Or (Eq (skS.0 0 a_1) ia) (Or (Eq (cB (skS.0 0 a_1)) True) (Eq (skS.0 0 a_1) ia))))
% 4.92/5.09 Clause #164 (by eliminate duplicate literals #[163]): ∀ (a a_1 : Iota),
% 4.92/5.09 Or (Eq (xsd_integer (skS.0 2 a)) True)
% 4.92/5.09 (Or (Eq (skS.0 0 a_1) ib) (Or (Eq (skS.0 0 a_1) ia) (Eq (cB (skS.0 0 a_1)) True)))
% 4.92/5.09 Clause #165 (by superposition #[164, 73]): ∀ (a a_1 : Iota),
% 4.92/5.09 Or (Eq (xsd_integer (skS.0 2 a)) True)
% 4.92/5.09 (Or (Eq (skS.0 0 a_1) ib) (Or (Eq (skS.0 0 a_1) ia) (Or (Eq True False) (Eq (skS.0 0 a_1) ib))))
% 4.92/5.09 Clause #167 (by clausification #[165]): ∀ (a a_1 : Iota),
% 4.92/5.09 Or (Eq (xsd_integer (skS.0 2 a)) True) (Or (Eq (skS.0 0 a_1) ib) (Or (Eq (skS.0 0 a_1) ia) (Eq (skS.0 0 a_1) ib)))
% 4.92/5.09 Clause #168 (by eliminate duplicate literals #[167]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Or (Eq (skS.0 0 a_1) ib) (Eq (skS.0 0 a_1) ia))
% 4.92/5.09 Clause #170 (by superposition #[168, 134]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.92/5.09 Or (Eq (xsd_integer (skS.0 2 a)) True)
% 4.92/5.09 (Or (Eq (skS.0 0 a_1) ia)
% 4.92/5.09 (Or (Eq (cA_and_B ib) False)
% 4.92/5.09 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.92/5.09 (Or (Eq (cowlNothing (skS.0 1 a_3)) True) (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Ne ib ib))))))
% 4.92/5.09 Clause #172 (by clausification #[107]): ∀ (a a_1 a_2 : Iota),
% 4.92/5.09 Or (Eq (cowlThing ib) False)
% 4.92/5.09 (Or (Eq (cowlThing ia) False)
% 4.92/5.09 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.92/5.09 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.92/5.09 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 4.92/5.09 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 4.92/5.09 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) True) (Eq (Eq (skS.0 0 a) ia) False)))))))
% 4.92/5.09 Clause #173 (by clausification #[107]): ∀ (a a_1 a_2 : Iota),
% 4.92/5.09 Or (Eq (cowlThing ib) False)
% 4.92/5.09 (Or (Eq (cowlThing ia) False)
% 4.92/5.09 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.92/5.09 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.92/5.09 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 4.92/5.09 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 4.92/5.09 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) True) (Eq (Eq (skS.0 0 a) ib) False)))))))
% 4.92/5.09 Clause #174 (by clausification #[172]): ∀ (a a_1 a_2 : Iota),
% 4.92/5.09 Or (Eq (cowlThing ib) False)
% 4.92/5.09 (Or (Eq (cowlThing ia) False)
% 4.92/5.09 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.92/5.09 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.92/5.09 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 4.92/5.09 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) True)
% 4.92/5.09 (Or (Eq (Eq (skS.0 0 a) ia) False) (Eq (cowlNothing (skS.0 1 a_1)) True)))))))
% 4.92/5.09 Clause #175 (by clausification #[174]): ∀ (a a_1 a_2 : Iota),
% 4.92/5.09 Or (Eq (cowlThing ib) False)
% 4.92/5.09 (Or (Eq (cowlThing ia) False)
% 4.92/5.09 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.92/5.09 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.92/5.09 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 4.92/5.09 (Or (Eq (Eq (skS.0 0 a) ia) False)
% 4.92/5.09 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 2 a_2)) False)))))))
% 4.92/5.09 Clause #176 (by clausification #[175]): ∀ (a a_1 a_2 : Iota),
% 4.92/5.09 Or (Eq (cowlThing ib) False)
% 4.92/5.09 (Or (Eq (cowlThing ia) False)
% 4.92/5.09 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.92/5.09 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.92/5.09 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 4.92/5.09 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.92/5.09 (Or (Eq (xsd_integer (skS.0 2 a_2)) False) (Ne (skS.0 0 a) ia)))))))
% 4.92/5.12 Clause #177 (by forward demodulation #[176, 59]): ∀ (a a_1 a_2 : Iota),
% 4.92/5.12 Or (Eq True False)
% 4.92/5.12 (Or (Eq (cowlThing ia) False)
% 4.92/5.12 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.92/5.12 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.92/5.12 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 4.92/5.12 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.92/5.12 (Or (Eq (xsd_integer (skS.0 2 a_2)) False) (Ne (skS.0 0 a) ia)))))))
% 4.92/5.12 Clause #178 (by clausification #[177]): ∀ (a a_1 a_2 : Iota),
% 4.92/5.12 Or (Eq (cowlThing ia) False)
% 4.92/5.12 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.92/5.12 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.92/5.12 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 4.92/5.12 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Or (Eq (xsd_integer (skS.0 2 a_2)) False) (Ne (skS.0 0 a) ia))))))
% 4.92/5.12 Clause #179 (by forward demodulation #[178, 59]): ∀ (a a_1 a_2 : Iota),
% 4.92/5.12 Or (Eq True False)
% 4.92/5.12 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.92/5.12 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.92/5.12 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 4.92/5.12 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Or (Eq (xsd_integer (skS.0 2 a_2)) False) (Ne (skS.0 0 a) ia))))))
% 4.92/5.12 Clause #180 (by clausification #[179]): ∀ (a a_1 a_2 : Iota),
% 4.92/5.12 Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.92/5.12 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.92/5.12 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 4.92/5.12 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Or (Eq (xsd_integer (skS.0 2 a_2)) False) (Ne (skS.0 0 a) ia)))))
% 4.92/5.12 Clause #181 (by forward demodulation #[180, 59]): ∀ (a a_1 a_2 : Iota),
% 4.92/5.12 Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.92/5.12 (Or (Eq True False)
% 4.92/5.12 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.92/5.12 (Or (Eq (cowlNothing (skS.0 1 a_2)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Ne (skS.0 0 a) ia)))))
% 4.92/5.12 Clause #182 (by clausification #[181]): ∀ (a a_1 a_2 : Iota),
% 4.92/5.12 Or (Eq (cA_and_B (skS.0 0 a)) False)
% 4.92/5.12 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.92/5.12 (Or (Eq (cowlNothing (skS.0 1 a_2)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Ne (skS.0 0 a) ia))))
% 4.92/5.12 Clause #186 (by eliminate resolved literals #[170]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.92/5.12 Or (Eq (xsd_integer (skS.0 2 a)) True)
% 4.92/5.12 (Or (Eq (skS.0 0 a_1) ia)
% 4.92/5.12 (Or (Eq (cA_and_B ib) False)
% 4.92/5.12 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.92/5.12 (Or (Eq (cowlNothing (skS.0 1 a_3)) True) (Eq (xsd_integer (skS.0 2 a_2)) True)))))
% 4.92/5.12 Clause #187 (by forward demodulation #[186, 90]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.92/5.12 Or (Eq (xsd_integer (skS.0 2 a)) True)
% 4.92/5.12 (Or (Eq (skS.0 0 a_1) ia)
% 4.92/5.12 (Or (Eq True False)
% 4.92/5.12 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.92/5.12 (Or (Eq (cowlNothing (skS.0 1 a_3)) True) (Eq (xsd_integer (skS.0 2 a_2)) True)))))
% 4.92/5.12 Clause #188 (by clausification #[187]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.92/5.12 Or (Eq (xsd_integer (skS.0 2 a)) True)
% 4.92/5.12 (Or (Eq (skS.0 0 a_1) ia)
% 4.92/5.12 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 4.92/5.12 (Or (Eq (cowlNothing (skS.0 1 a_3)) True) (Eq (xsd_integer (skS.0 2 a_2)) True))))
% 4.92/5.12 Clause #189 (by superposition #[188, 64]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.92/5.12 Or (Eq (xsd_integer (skS.0 2 a)) True)
% 4.92/5.12 (Or (Eq (skS.0 0 a_1) ia)
% 4.92/5.12 (Or (Eq (cowlNothing (skS.0 1 a_2)) True)
% 4.92/5.12 (Or (Eq (xsd_integer (skS.0 2 a_3)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 2 a_3)) True)))))
% 4.92/5.12 Clause #190 (by clausification #[189]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.92/5.12 Or (Eq (xsd_integer (skS.0 2 a)) True)
% 4.92/5.12 (Or (Eq (skS.0 0 a_1) ia)
% 4.92/5.12 (Or (Eq (cowlNothing (skS.0 1 a_2)) True)
% 4.92/5.12 (Or (Eq (xsd_integer (skS.0 2 a_3)) True) (Eq (xsd_integer (skS.0 2 a_3)) True))))
% 4.92/5.12 Clause #191 (by eliminate duplicate literals #[190]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.92/5.12 Or (Eq (xsd_integer (skS.0 2 a)) True)
% 4.92/5.12 (Or (Eq (skS.0 0 a_1) ia) (Or (Eq (cowlNothing (skS.0 1 a_2)) True) (Eq (xsd_integer (skS.0 2 a_3)) True)))
% 4.92/5.12 Clause #196 (by equality factoring #[191]): ∀ (a a_1 a_2 : Iota),
% 4.92/5.12 Or (Eq (skS.0 0 a) ia)
% 4.92/5.12 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Or (Ne True True) (Eq (xsd_integer (skS.0 2 a_2)) True)))
% 4.92/5.12 Clause #197 (by clausification #[137]): ∀ (a a_1 a_2 : Iota),
% 4.92/5.12 Or (Eq (cowlThing ib) False)
% 4.92/5.12 (Or (Eq (cowlThing ia) False)
% 4.92/5.12 (Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.97/5.14 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.97/5.14 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 4.97/5.14 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 4.97/5.14 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) True)
% 4.97/5.14 (Or (Eq (Eq (skS.0 0 a) ib) True) (Eq (Eq (skS.0 0 a) ia) True))))))))
% 4.97/5.14 Clause #198 (by clausification #[197]): ∀ (a a_1 a_2 : Iota),
% 4.97/5.14 Or (Eq (cowlThing ib) False)
% 4.97/5.14 (Or (Eq (cowlThing ia) False)
% 4.97/5.14 (Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.97/5.14 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.97/5.14 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 4.97/5.14 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) True)
% 4.97/5.14 (Or (Eq (Eq (skS.0 0 a) ib) True)
% 4.97/5.14 (Or (Eq (Eq (skS.0 0 a) ia) True) (Eq (cowlNothing (skS.0 1 a_1)) True))))))))
% 4.97/5.14 Clause #199 (by clausification #[198]): ∀ (a a_1 a_2 : Iota),
% 4.97/5.14 Or (Eq (cowlThing ib) False)
% 4.97/5.14 (Or (Eq (cowlThing ia) False)
% 4.97/5.14 (Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.97/5.14 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.97/5.14 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 4.97/5.14 (Or (Eq (Eq (skS.0 0 a) ib) True)
% 4.97/5.14 (Or (Eq (Eq (skS.0 0 a) ia) True)
% 4.97/5.14 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 2 a_2)) False))))))))
% 4.97/5.14 Clause #200 (by clausification #[199]): ∀ (a a_1 a_2 : Iota),
% 4.97/5.14 Or (Eq (cowlThing ib) False)
% 4.97/5.14 (Or (Eq (cowlThing ia) False)
% 4.97/5.14 (Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.97/5.14 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.97/5.14 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 4.97/5.14 (Or (Eq (Eq (skS.0 0 a) ia) True)
% 4.97/5.14 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.97/5.14 (Or (Eq (xsd_integer (skS.0 2 a_2)) False) (Eq (skS.0 0 a) ib))))))))
% 4.97/5.14 Clause #201 (by clausification #[200]): ∀ (a a_1 a_2 : Iota),
% 4.97/5.14 Or (Eq (cowlThing ib) False)
% 4.97/5.14 (Or (Eq (cowlThing ia) False)
% 4.97/5.14 (Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.97/5.14 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.97/5.14 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 4.97/5.14 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.97/5.14 (Or (Eq (xsd_integer (skS.0 2 a_2)) False) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia))))))))
% 4.97/5.14 Clause #202 (by forward demodulation #[201, 59]): ∀ (a a_1 a_2 : Iota),
% 4.97/5.14 Or (Eq True False)
% 4.97/5.14 (Or (Eq (cowlThing ia) False)
% 4.97/5.14 (Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.97/5.14 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.97/5.14 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 4.97/5.14 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.97/5.14 (Or (Eq (xsd_integer (skS.0 2 a_2)) False) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia))))))))
% 4.97/5.14 Clause #203 (by clausification #[202]): ∀ (a a_1 a_2 : Iota),
% 4.97/5.14 Or (Eq (cowlThing ia) False)
% 4.97/5.14 (Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.97/5.14 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.97/5.14 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 4.97/5.14 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.97/5.14 (Or (Eq (xsd_integer (skS.0 2 a_2)) False) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia)))))))
% 4.97/5.14 Clause #204 (by forward demodulation #[203, 59]): ∀ (a a_1 a_2 : Iota),
% 4.97/5.14 Or (Eq True False)
% 4.97/5.14 (Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.97/5.14 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.97/5.14 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 4.97/5.14 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.97/5.14 (Or (Eq (xsd_integer (skS.0 2 a_2)) False) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia)))))))
% 4.97/5.14 Clause #205 (by clausification #[204]): ∀ (a a_1 a_2 : Iota),
% 4.97/5.14 Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.97/5.14 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.97/5.14 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 4.97/5.14 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.97/5.14 (Or (Eq (xsd_integer (skS.0 2 a_2)) False) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia))))))
% 4.97/5.14 Clause #206 (by forward demodulation #[205, 59]): ∀ (a a_1 a_2 : Iota),
% 4.97/5.14 Or (Eq (cA_and_B (skS.0 0 a)) True)
% 4.97/5.14 (Or (Eq True False)
% 4.97/5.14 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.97/5.14 (Or (Eq (cowlNothing (skS.0 1 a_2)) True)
% 4.97/5.14 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia))))))
% 4.97/5.14 Clause #207 (by clausification #[206]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.17 Or (Eq (cA_and_B (skS.0 0 a)) True)
% 5.00/5.17 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 5.00/5.17 (Or (Eq (cowlNothing (skS.0 1 a_2)) True)
% 5.00/5.17 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia)))))
% 5.00/5.17 Clause #211 (by clausification #[196]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.17 Or (Eq (skS.0 0 a) ia)
% 5.00/5.17 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 5.00/5.17 (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Or (Eq True False) (Eq True False))))
% 5.00/5.17 Clause #213 (by clausification #[211]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.17 Or (Eq (skS.0 0 a) ia)
% 5.00/5.17 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Eq True False)))
% 5.00/5.17 Clause #214 (by clausification #[213]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.17 Or (Eq (skS.0 0 a) ia) (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 2 a_2)) True))
% 5.00/5.17 Clause #215 (by backward contextual literal cutting #[214, 118]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.17 Or (Eq (cA_and_B (skS.0 0 a)) False)
% 5.00/5.17 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 5.00/5.17 (Or (Eq (cowlNothing (skS.0 1 a_2)) True) (Eq (xsd_integer (skS.0 2 a_1)) True)))
% 5.00/5.17 Clause #218 (by superposition #[214, 60]): ∀ (a a_1 : Iota), Or (Eq (skS.0 0 a) ia) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq True False))
% 5.00/5.17 Clause #220 (by clausification #[218]): ∀ (a a_1 : Iota), Or (Eq (skS.0 0 a) ia) (Eq (xsd_integer (skS.0 2 a_1)) True)
% 5.00/5.17 Clause #225 (by superposition #[215, 220]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.17 Or (Eq (xsd_integer (skS.0 2 a)) True)
% 5.00/5.17 (Or (Eq (cA_and_B ia) False)
% 5.00/5.17 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 5.00/5.17 (Or (Eq (cowlNothing (skS.0 1 a_2)) True) (Eq (xsd_integer (skS.0 2 a_1)) True))))
% 5.00/5.17 Clause #227 (by forward demodulation #[225, 119]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.17 Or (Eq (xsd_integer (skS.0 2 a)) True)
% 5.00/5.17 (Or (Eq True False)
% 5.00/5.17 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 5.00/5.17 (Or (Eq (cowlNothing (skS.0 1 a_2)) True) (Eq (xsd_integer (skS.0 2 a_1)) True))))
% 5.00/5.17 Clause #228 (by clausification #[227]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.17 Or (Eq (xsd_integer (skS.0 2 a)) True)
% 5.00/5.17 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 5.00/5.17 (Or (Eq (cowlNothing (skS.0 1 a_2)) True) (Eq (xsd_integer (skS.0 2 a_1)) True)))
% 5.00/5.17 Clause #229 (by superposition #[228, 64]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.17 Or (Eq (xsd_integer (skS.0 2 a)) True)
% 5.00/5.17 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 5.00/5.17 (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 2 a_2)) True))))
% 5.00/5.17 Clause #230 (by clausification #[229]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.17 Or (Eq (xsd_integer (skS.0 2 a)) True)
% 5.00/5.17 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 5.00/5.17 (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Eq (xsd_integer (skS.0 2 a_2)) True)))
% 5.00/5.17 Clause #231 (by eliminate duplicate literals #[230]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.17 Or (Eq (xsd_integer (skS.0 2 a)) True)
% 5.00/5.17 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 2 a_2)) True))
% 5.00/5.17 Clause #235 (by equality factoring #[231]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 1 a)) True) (Or (Ne True True) (Eq (xsd_integer (skS.0 2 a_1)) True))
% 5.00/5.17 Clause #236 (by clausification #[235]): ∀ (a a_1 : Iota),
% 5.00/5.17 Or (Eq (cowlNothing (skS.0 1 a)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq True False) (Eq True False)))
% 5.00/5.17 Clause #238 (by clausification #[236]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 1 a)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq True False))
% 5.00/5.17 Clause #239 (by clausification #[238]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True)
% 5.00/5.17 Clause #240 (by superposition #[239, 60]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq True False)
% 5.00/5.17 Clause #242 (by clausification #[240]): ∀ (a : Iota), Eq (xsd_integer (skS.0 2 a)) True
% 5.00/5.17 Clause #243 (by backward demodulation #[242, 182]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.17 Or (Eq (cA_and_B (skS.0 0 a)) False)
% 5.00/5.17 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 5.00/5.17 (Or (Eq (cowlNothing (skS.0 1 a_2)) True) (Or (Eq True False) (Ne (skS.0 0 a) ia))))
% 5.00/5.17 Clause #244 (by backward demodulation #[242, 207]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.17 Or (Eq (cA_and_B (skS.0 0 a)) True)
% 5.00/5.17 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 5.00/5.19 (Or (Eq (cowlNothing (skS.0 1 a_2)) True) (Or (Eq True False) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia)))))
% 5.00/5.19 Clause #247 (by clausification #[243]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.19 Or (Eq (cA_and_B (skS.0 0 a)) False)
% 5.00/5.19 (Or (Eq (xsd_string (skS.0 2 a_1)) True) (Or (Eq (cowlNothing (skS.0 1 a_2)) True) (Ne (skS.0 0 a) ia)))
% 5.00/5.19 Clause #256 (by clausification #[244]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.19 Or (Eq (cA_and_B (skS.0 0 a)) True)
% 5.00/5.19 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 5.00/5.19 (Or (Eq (cowlNothing (skS.0 1 a_2)) True) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia))))
% 5.00/5.19 Clause #260 (by superposition #[256, 60]): ∀ (a a_1 : Iota),
% 5.00/5.19 Or (Eq (cA_and_B (skS.0 0 a)) True)
% 5.00/5.19 (Or (Eq (xsd_string (skS.0 2 a_1)) True) (Or (Eq (skS.0 0 a) ib) (Or (Eq (skS.0 0 a) ia) (Eq True False))))
% 5.00/5.19 Clause #262 (by clausification #[260]): ∀ (a a_1 : Iota),
% 5.00/5.19 Or (Eq (cA_and_B (skS.0 0 a)) True)
% 5.00/5.19 (Or (Eq (xsd_string (skS.0 2 a_1)) True) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia)))
% 5.00/5.19 Clause #265 (by superposition #[262, 65]): ∀ (a a_1 : Iota),
% 5.00/5.19 Or (Eq (cA_and_B (skS.0 0 a)) True)
% 5.00/5.19 (Or (Eq (skS.0 0 a) ib) (Or (Eq (skS.0 0 a) ia) (Or (Eq True False) (Eq (xsd_integer (skS.0 2 a_1)) False))))
% 5.00/5.19 Clause #266 (by clausification #[265]): ∀ (a a_1 : Iota),
% 5.00/5.19 Or (Eq (cA_and_B (skS.0 0 a)) True)
% 5.00/5.19 (Or (Eq (skS.0 0 a) ib) (Or (Eq (skS.0 0 a) ia) (Eq (xsd_integer (skS.0 2 a_1)) False)))
% 5.00/5.19 Clause #267 (by superposition #[266, 242]): ∀ (a : Iota), Or (Eq (cA_and_B (skS.0 0 a)) True) (Or (Eq (skS.0 0 a) ib) (Or (Eq (skS.0 0 a) ia) (Eq False True)))
% 5.00/5.19 Clause #268 (by clausification #[267]): ∀ (a : Iota), Or (Eq (cA_and_B (skS.0 0 a)) True) (Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia))
% 5.00/5.19 Clause #270 (by superposition #[268, 120]): ∀ (a : Iota),
% 5.00/5.19 Or (Eq (skS.0 0 a) ib)
% 5.00/5.19 (Or (Eq (skS.0 0 a) ia) (Or (Eq True False) (Or (Eq (cA (skS.0 0 a)) True) (Eq (cB (skS.0 0 a)) True))))
% 5.00/5.19 Clause #271 (by clausification #[270]): ∀ (a : Iota), Or (Eq (skS.0 0 a) ib) (Or (Eq (skS.0 0 a) ia) (Or (Eq (cA (skS.0 0 a)) True) (Eq (cB (skS.0 0 a)) True)))
% 5.00/5.19 Clause #272 (by superposition #[271, 81]): ∀ (a : Iota),
% 5.00/5.19 Or (Eq (skS.0 0 a) ib)
% 5.00/5.19 (Or (Eq (skS.0 0 a) ia) (Or (Eq (cB (skS.0 0 a)) True) (Or (Eq True False) (Eq (skS.0 0 a) ia))))
% 5.00/5.19 Clause #274 (by clausification #[272]): ∀ (a : Iota), Or (Eq (skS.0 0 a) ib) (Or (Eq (skS.0 0 a) ia) (Or (Eq (cB (skS.0 0 a)) True) (Eq (skS.0 0 a) ia)))
% 5.00/5.19 Clause #275 (by eliminate duplicate literals #[274]): ∀ (a : Iota), Or (Eq (skS.0 0 a) ib) (Or (Eq (skS.0 0 a) ia) (Eq (cB (skS.0 0 a)) True))
% 5.00/5.19 Clause #276 (by superposition #[275, 73]): ∀ (a : Iota), Or (Eq (skS.0 0 a) ib) (Or (Eq (skS.0 0 a) ia) (Or (Eq True False) (Eq (skS.0 0 a) ib)))
% 5.00/5.19 Clause #279 (by clausification #[276]): ∀ (a : Iota), Or (Eq (skS.0 0 a) ib) (Or (Eq (skS.0 0 a) ia) (Eq (skS.0 0 a) ib))
% 5.00/5.19 Clause #280 (by eliminate duplicate literals #[279]): ∀ (a : Iota), Or (Eq (skS.0 0 a) ib) (Eq (skS.0 0 a) ia)
% 5.00/5.19 Clause #298 (by clausification #[173]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.19 Or (Eq (cowlThing ib) False)
% 5.00/5.19 (Or (Eq (cowlThing ia) False)
% 5.00/5.19 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 5.00/5.19 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 5.00/5.19 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 5.00/5.19 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) True)
% 5.00/5.19 (Or (Eq (Eq (skS.0 0 a) ib) False) (Eq (cowlNothing (skS.0 1 a_1)) True)))))))
% 5.00/5.19 Clause #299 (by clausification #[298]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.19 Or (Eq (cowlThing ib) False)
% 5.00/5.19 (Or (Eq (cowlThing ia) False)
% 5.00/5.19 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 5.00/5.19 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 5.00/5.19 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 5.00/5.19 (Or (Eq (Eq (skS.0 0 a) ib) False)
% 5.00/5.19 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 2 a_2)) False)))))))
% 5.00/5.19 Clause #300 (by clausification #[299]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.19 Or (Eq (cowlThing ib) False)
% 5.00/5.19 (Or (Eq (cowlThing ia) False)
% 5.00/5.19 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 5.00/5.19 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 5.00/5.19 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 5.00/5.19 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 5.00/5.22 (Or (Eq (xsd_integer (skS.0 2 a_2)) False) (Ne (skS.0 0 a) ib)))))))
% 5.00/5.22 Clause #301 (by forward demodulation #[300, 59]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.22 Or (Eq True False)
% 5.00/5.22 (Or (Eq (cowlThing ia) False)
% 5.00/5.22 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 5.00/5.22 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 5.00/5.22 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 5.00/5.22 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 5.00/5.22 (Or (Eq (xsd_integer (skS.0 2 a_2)) False) (Ne (skS.0 0 a) ib)))))))
% 5.00/5.22 Clause #302 (by clausification #[301]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.22 Or (Eq (cowlThing ia) False)
% 5.00/5.22 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 5.00/5.22 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 5.00/5.22 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 5.00/5.22 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Or (Eq (xsd_integer (skS.0 2 a_2)) False) (Ne (skS.0 0 a) ib))))))
% 5.00/5.22 Clause #303 (by forward demodulation #[302, 59]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.22 Or (Eq True False)
% 5.00/5.22 (Or (Eq (cA_and_B (skS.0 0 a)) False)
% 5.00/5.22 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 5.00/5.22 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 5.00/5.22 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Or (Eq (xsd_integer (skS.0 2 a_2)) False) (Ne (skS.0 0 a) ib))))))
% 5.00/5.22 Clause #304 (by clausification #[303]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.22 Or (Eq (cA_and_B (skS.0 0 a)) False)
% 5.00/5.22 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 5.00/5.22 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 5.00/5.22 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Or (Eq (xsd_integer (skS.0 2 a_2)) False) (Ne (skS.0 0 a) ib)))))
% 5.00/5.22 Clause #305 (by forward demodulation #[304, 59]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.22 Or (Eq (cA_and_B (skS.0 0 a)) False)
% 5.00/5.22 (Or (Eq True False)
% 5.00/5.22 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 5.00/5.22 (Or (Eq (cowlNothing (skS.0 1 a_2)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Ne (skS.0 0 a) ib)))))
% 5.00/5.22 Clause #306 (by clausification #[305]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.22 Or (Eq (cA_and_B (skS.0 0 a)) False)
% 5.00/5.22 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 5.00/5.22 (Or (Eq (cowlNothing (skS.0 1 a_2)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Ne (skS.0 0 a) ib))))
% 5.00/5.22 Clause #307 (by forward demodulation #[306, 242]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.22 Or (Eq (cA_and_B (skS.0 0 a)) False)
% 5.00/5.22 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 5.00/5.22 (Or (Eq (cowlNothing (skS.0 1 a_2)) True) (Or (Eq True False) (Ne (skS.0 0 a) ib))))
% 5.00/5.22 Clause #308 (by clausification #[307]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.22 Or (Eq (cA_and_B (skS.0 0 a)) False)
% 5.00/5.22 (Or (Eq (xsd_string (skS.0 2 a_1)) True) (Or (Eq (cowlNothing (skS.0 1 a_2)) True) (Ne (skS.0 0 a) ib)))
% 5.00/5.22 Clause #309 (by superposition #[308, 280]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.22 Or (Eq (skS.0 0 a) ia)
% 5.00/5.22 (Or (Eq (cA_and_B ib) False)
% 5.00/5.22 (Or (Eq (xsd_string (skS.0 2 a_1)) True) (Or (Eq (cowlNothing (skS.0 1 a_2)) True) (Ne ib ib))))
% 5.00/5.22 Clause #310 (by eliminate resolved literals #[309]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.22 Or (Eq (skS.0 0 a) ia)
% 5.00/5.22 (Or (Eq (cA_and_B ib) False) (Or (Eq (xsd_string (skS.0 2 a_1)) True) (Eq (cowlNothing (skS.0 1 a_2)) True)))
% 5.00/5.22 Clause #311 (by forward demodulation #[310, 90]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.22 Or (Eq (skS.0 0 a) ia)
% 5.00/5.22 (Or (Eq True False) (Or (Eq (xsd_string (skS.0 2 a_1)) True) (Eq (cowlNothing (skS.0 1 a_2)) True)))
% 5.00/5.22 Clause #312 (by clausification #[311]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.22 Or (Eq (skS.0 0 a) ia) (Or (Eq (xsd_string (skS.0 2 a_1)) True) (Eq (cowlNothing (skS.0 1 a_2)) True))
% 5.00/5.22 Clause #313 (by backward contextual literal cutting #[312, 247]): ∀ (a a_1 a_2 : Iota),
% 5.00/5.22 Or (Eq (cA_and_B (skS.0 0 a)) False) (Or (Eq (xsd_string (skS.0 2 a_1)) True) (Eq (cowlNothing (skS.0 1 a_2)) True))
% 5.00/5.22 Clause #316 (by superposition #[312, 60]): ∀ (a a_1 : Iota), Or (Eq (skS.0 0 a) ia) (Or (Eq (xsd_string (skS.0 2 a_1)) True) (Eq True False))
% 5.00/5.22 Clause #317 (by clausification #[316]): ∀ (a a_1 : Iota), Or (Eq (skS.0 0 a) ia) (Eq (xsd_string (skS.0 2 a_1)) True)
% 5.00/5.22 Clause #319 (by superposition #[317, 65]): ∀ (a a_1 : Iota), Or (Eq (skS.0 0 a) ia) (Or (Eq True False) (Eq (xsd_integer (skS.0 2 a_1)) False))
% 5.00/5.22 Clause #320 (by clausification #[319]): ∀ (a a_1 : Iota), Or (Eq (skS.0 0 a) ia) (Eq (xsd_integer (skS.0 2 a_1)) False)
% 5.07/5.22 Clause #321 (by superposition #[320, 242]): ∀ (a : Iota), Or (Eq (skS.0 0 a) ia) (Eq False True)
% 5.07/5.22 Clause #322 (by clausification #[321]): ∀ (a : Iota), Eq (skS.0 0 a) ia
% 5.07/5.22 Clause #329 (by forward demodulation #[313, 322]): ∀ (a a_1 : Iota),
% 5.07/5.22 Or (Eq (cA_and_B ia) False) (Or (Eq (xsd_string (skS.0 2 a)) True) (Eq (cowlNothing (skS.0 1 a_1)) True))
% 5.07/5.22 Clause #330 (by forward demodulation #[329, 119]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (xsd_string (skS.0 2 a)) True) (Eq (cowlNothing (skS.0 1 a_1)) True))
% 5.07/5.22 Clause #331 (by clausification #[330]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq (cowlNothing (skS.0 1 a_1)) True)
% 5.07/5.22 Clause #333 (by superposition #[331, 60]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq True False)
% 5.07/5.22 Clause #334 (by clausification #[333]): ∀ (a : Iota), Eq (xsd_string (skS.0 2 a)) True
% 5.07/5.22 Clause #335 (by superposition #[334, 65]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 2 a)) False)
% 5.07/5.22 Clause #336 (by clausification #[335]): ∀ (a : Iota), Eq (xsd_integer (skS.0 2 a)) False
% 5.07/5.22 Clause #337 (by superposition #[336, 242]): Eq False True
% 5.07/5.22 Clause #338 (by clausification #[337]): False
% 5.07/5.22 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------