TSTP Solution File: KRS148+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KRS148+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n024.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 05:43:31 EDT 2023
% Result : Theorem 51.06s 51.24s
% Output : Proof 51.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS148+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n024.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 01:03:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 51.06/51.24 SZS status Theorem for theBenchmark.p
% 51.06/51.24 SZS output start Proof for theBenchmark.p
% 51.06/51.24 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True
% 51.06/51.24 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True
% 51.06/51.24 Clause #25 (by assumption #[]): Eq (∀ (X : Iota), Iff (cC140 X) (And (cTOP X) (cC138 X))) True
% 51.06/51.24 Clause #71 (by assumption #[]): Eq (∀ (X : Iota), Iff (cTEST X) (And (cC140 X) (cC116 X))) True
% 51.06/51.24 Clause #72 (by assumption #[]): Eq (cTEST iV5475) True
% 51.06/51.24 Clause #89 (by assumption #[]): Eq
% 51.06/51.24 (Not
% 51.06/51.24 (And
% 51.06/51.24 (And
% 51.06/51.24 (And
% 51.06/51.24 (And
% 51.06/51.24 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 51.06/51.24 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 51.06/51.24 (cC138 iV5475))
% 51.06/51.24 (cowlThing iV5475))
% 51.06/51.24 (cC116 iV5475))
% 51.06/51.24 (cC140 iV5475)))
% 51.06/51.24 True
% 51.06/51.24 Clause #90 (by clausification #[0]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True
% 51.06/51.24 Clause #91 (by clausification #[90]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True
% 51.06/51.24 Clause #92 (by clausification #[90]): ∀ (a : Iota), Eq (cowlThing a) True
% 51.06/51.24 Clause #93 (by clausification #[91]): ∀ (a : Iota), Eq (cowlNothing a) False
% 51.06/51.24 Clause #96 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True
% 51.06/51.24 Clause #97 (by clausification #[96]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False)
% 51.06/51.24 Clause #98 (by clausification #[96]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True)
% 51.06/51.24 Clause #99 (by clausification #[97]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True)
% 51.06/51.24 Clause #123 (by clausification #[98]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False)
% 51.06/51.24 Clause #178 (by clausification #[25]): ∀ (a : Iota), Eq (Iff (cC140 a) (And (cTOP a) (cC138 a))) True
% 51.06/51.24 Clause #180 (by clausification #[178]): ∀ (a : Iota), Or (Eq (cC140 a) False) (Eq (And (cTOP a) (cC138 a)) True)
% 51.06/51.24 Clause #189 (by clausification #[180]): ∀ (a : Iota), Or (Eq (cC140 a) False) (Eq (cC138 a) True)
% 51.06/51.24 Clause #223 (by clausification #[71]): ∀ (a : Iota), Eq (Iff (cTEST a) (And (cC140 a) (cC116 a))) True
% 51.06/51.24 Clause #225 (by clausification #[223]): ∀ (a : Iota), Or (Eq (cTEST a) False) (Eq (And (cC140 a) (cC116 a)) True)
% 51.06/51.24 Clause #227 (by clausification #[225]): ∀ (a : Iota), Or (Eq (cTEST a) False) (Eq (cC116 a) True)
% 51.06/51.24 Clause #228 (by clausification #[225]): ∀ (a : Iota), Or (Eq (cTEST a) False) (Eq (cC140 a) True)
% 51.06/51.24 Clause #229 (by superposition #[227, 72]): Or (Eq (cC116 iV5475) True) (Eq False True)
% 51.06/51.24 Clause #236 (by clausification #[229]): Eq (cC116 iV5475) True
% 51.06/51.24 Clause #237 (by superposition #[228, 72]): Or (Eq (cC140 iV5475) True) (Eq False True)
% 51.06/51.24 Clause #238 (by clausification #[237]): Eq (cC140 iV5475) True
% 51.06/51.24 Clause #240 (by superposition #[238, 189]): Or (Eq True False) (Eq (cC138 iV5475) True)
% 51.06/51.24 Clause #243 (by clausification #[240]): Eq (cC138 iV5475) True
% 51.06/51.24 Clause #870 (by clausification #[89]): Eq
% 51.06/51.24 (And
% 51.06/51.24 (And
% 51.06/51.24 (And
% 51.06/51.24 (And
% 51.06/51.24 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 51.06/51.24 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 51.06/51.24 (cC138 iV5475))
% 51.06/51.24 (cowlThing iV5475))
% 51.06/51.24 (cC116 iV5475))
% 51.06/51.24 (cC140 iV5475))
% 51.06/51.24 False
% 51.06/51.24 Clause #871 (by clausification #[870]): Or
% 51.06/51.24 (Eq
% 51.06/51.24 (And
% 51.06/51.24 (And
% 51.06/51.24 (And
% 51.06/51.24 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 51.06/51.24 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 51.06/51.24 (cC138 iV5475))
% 51.06/51.24 (cowlThing iV5475))
% 51.06/51.24 (cC116 iV5475))
% 51.06/51.24 False)
% 51.06/51.24 (Eq (cC140 iV5475) False)
% 51.06/51.24 Clause #872 (by clausification #[871]): Or (Eq (cC140 iV5475) False)
% 51.06/51.24 (Or
% 51.06/51.24 (Eq
% 51.06/51.24 (And
% 51.06/51.24 (And
% 51.06/51.24 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 51.06/51.24 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 51.06/51.24 (cC138 iV5475))
% 51.06/51.24 (cowlThing iV5475))
% 51.06/51.24 False)
% 51.06/51.24 (Eq (cC116 iV5475) False))
% 51.06/51.24 Clause #873 (by clausification #[872]): Or (Eq (cC140 iV5475) False)
% 51.06/51.24 (Or (Eq (cC116 iV5475) False)
% 51.06/51.24 (Or
% 51.06/51.24 (Eq
% 51.11/51.27 (And
% 51.11/51.27 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 51.11/51.27 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 51.11/51.27 (cC138 iV5475))
% 51.11/51.27 False)
% 51.11/51.27 (Eq (cowlThing iV5475) False)))
% 51.11/51.27 Clause #874 (by clausification #[873]): Or (Eq (cC140 iV5475) False)
% 51.11/51.27 (Or (Eq (cC116 iV5475) False)
% 51.11/51.27 (Or (Eq (cowlThing iV5475) False)
% 51.11/51.27 (Or
% 51.11/51.27 (Eq
% 51.11/51.27 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 51.11/51.27 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 51.11/51.27 False)
% 51.11/51.27 (Eq (cC138 iV5475) False))))
% 51.11/51.27 Clause #875 (by clausification #[874]): Or (Eq (cC140 iV5475) False)
% 51.11/51.27 (Or (Eq (cC116 iV5475) False)
% 51.11/51.27 (Or (Eq (cowlThing iV5475) False)
% 51.11/51.27 (Or (Eq (cC138 iV5475) False)
% 51.11/51.27 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False)
% 51.11/51.27 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)))))
% 51.11/51.27 Clause #876 (by clausification #[875]): ∀ (a : Iota),
% 51.11/51.27 Or (Eq (cC140 iV5475) False)
% 51.11/51.27 (Or (Eq (cC116 iV5475) False)
% 51.11/51.27 (Or (Eq (cowlThing iV5475) False)
% 51.11/51.27 (Or (Eq (cC138 iV5475) False)
% 51.11/51.27 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)
% 51.11/51.27 (Eq (Not (And (cowlThing (skS.0 32 a)) (Not (cowlNothing (skS.0 32 a))))) True)))))
% 51.11/51.27 Clause #877 (by clausification #[876]): ∀ (a a_1 : Iota),
% 51.11/51.27 Or (Eq (cC140 iV5475) False)
% 51.11/51.27 (Or (Eq (cC116 iV5475) False)
% 51.11/51.27 (Or (Eq (cowlThing iV5475) False)
% 51.11/51.27 (Or (Eq (cC138 iV5475) False)
% 51.11/51.27 (Or (Eq (Not (And (cowlThing (skS.0 32 a)) (Not (cowlNothing (skS.0 32 a))))) True)
% 51.11/51.27 (Eq (Not (Iff (xsd_string (skS.0 33 a_1)) (Not (xsd_integer (skS.0 33 a_1))))) True)))))
% 51.11/51.27 Clause #878 (by clausification #[877]): ∀ (a a_1 : Iota),
% 51.11/51.27 Or (Eq (cC140 iV5475) False)
% 51.11/51.27 (Or (Eq (cC116 iV5475) False)
% 51.11/51.27 (Or (Eq (cowlThing iV5475) False)
% 51.11/51.27 (Or (Eq (cC138 iV5475) False)
% 51.11/51.27 (Or (Eq (Not (Iff (xsd_string (skS.0 33 a)) (Not (xsd_integer (skS.0 33 a))))) True)
% 51.11/51.27 (Eq (And (cowlThing (skS.0 32 a_1)) (Not (cowlNothing (skS.0 32 a_1)))) False)))))
% 51.11/51.27 Clause #879 (by clausification #[878]): ∀ (a a_1 : Iota),
% 51.11/51.27 Or (Eq (cC140 iV5475) False)
% 51.11/51.27 (Or (Eq (cC116 iV5475) False)
% 51.11/51.27 (Or (Eq (cowlThing iV5475) False)
% 51.11/51.27 (Or (Eq (cC138 iV5475) False)
% 51.11/51.27 (Or (Eq (And (cowlThing (skS.0 32 a)) (Not (cowlNothing (skS.0 32 a)))) False)
% 51.11/51.27 (Eq (Iff (xsd_string (skS.0 33 a_1)) (Not (xsd_integer (skS.0 33 a_1)))) False)))))
% 51.11/51.27 Clause #880 (by clausification #[879]): ∀ (a a_1 : Iota),
% 51.11/51.27 Or (Eq (cC140 iV5475) False)
% 51.11/51.27 (Or (Eq (cC116 iV5475) False)
% 51.11/51.27 (Or (Eq (cowlThing iV5475) False)
% 51.11/51.27 (Or (Eq (cC138 iV5475) False)
% 51.11/51.27 (Or (Eq (Iff (xsd_string (skS.0 33 a)) (Not (xsd_integer (skS.0 33 a)))) False)
% 51.11/51.27 (Or (Eq (cowlThing (skS.0 32 a_1)) False) (Eq (Not (cowlNothing (skS.0 32 a_1))) False))))))
% 51.11/51.27 Clause #881 (by clausification #[880]): ∀ (a a_1 : Iota),
% 51.11/51.27 Or (Eq (cC140 iV5475) False)
% 51.11/51.27 (Or (Eq (cC116 iV5475) False)
% 51.11/51.27 (Or (Eq (cowlThing iV5475) False)
% 51.11/51.27 (Or (Eq (cC138 iV5475) False)
% 51.11/51.27 (Or (Eq (cowlThing (skS.0 32 a)) False)
% 51.11/51.27 (Or (Eq (Not (cowlNothing (skS.0 32 a))) False)
% 51.11/51.27 (Or (Eq (xsd_string (skS.0 33 a_1)) False) (Eq (Not (xsd_integer (skS.0 33 a_1))) False)))))))
% 51.11/51.27 Clause #882 (by clausification #[880]): ∀ (a a_1 : Iota),
% 51.11/51.27 Or (Eq (cC140 iV5475) False)
% 51.11/51.27 (Or (Eq (cC116 iV5475) False)
% 51.11/51.27 (Or (Eq (cowlThing iV5475) False)
% 51.11/51.27 (Or (Eq (cC138 iV5475) False)
% 51.11/51.27 (Or (Eq (cowlThing (skS.0 32 a)) False)
% 51.11/51.27 (Or (Eq (Not (cowlNothing (skS.0 32 a))) False)
% 51.11/51.27 (Or (Eq (xsd_string (skS.0 33 a_1)) True) (Eq (Not (xsd_integer (skS.0 33 a_1))) True)))))))
% 51.11/51.27 Clause #883 (by clausification #[881]): ∀ (a a_1 : Iota),
% 51.11/51.27 Or (Eq (cC140 iV5475) False)
% 51.11/51.27 (Or (Eq (cC116 iV5475) False)
% 51.11/51.27 (Or (Eq (cowlThing iV5475) False)
% 51.11/51.27 (Or (Eq (cC138 iV5475) False)
% 51.11/51.27 (Or (Eq (cowlThing (skS.0 32 a)) False)
% 51.11/51.27 (Or (Eq (xsd_string (skS.0 33 a_1)) False)
% 51.11/51.27 (Or (Eq (Not (xsd_integer (skS.0 33 a_1))) False) (Eq (cowlNothing (skS.0 32 a)) True)))))))
% 51.11/51.30 Clause #884 (by clausification #[883]): ∀ (a a_1 : Iota),
% 51.11/51.30 Or (Eq (cC140 iV5475) False)
% 51.11/51.30 (Or (Eq (cC116 iV5475) False)
% 51.11/51.30 (Or (Eq (cowlThing iV5475) False)
% 51.11/51.30 (Or (Eq (cC138 iV5475) False)
% 51.11/51.30 (Or (Eq (cowlThing (skS.0 32 a)) False)
% 51.11/51.30 (Or (Eq (xsd_string (skS.0 33 a_1)) False)
% 51.11/51.30 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) True)))))))
% 51.11/51.30 Clause #885 (by forward demodulation #[884, 238]): ∀ (a a_1 : Iota),
% 51.11/51.30 Or (Eq True False)
% 51.11/51.30 (Or (Eq (cC116 iV5475) False)
% 51.11/51.30 (Or (Eq (cowlThing iV5475) False)
% 51.11/51.30 (Or (Eq (cC138 iV5475) False)
% 51.11/51.30 (Or (Eq (cowlThing (skS.0 32 a)) False)
% 51.11/51.30 (Or (Eq (xsd_string (skS.0 33 a_1)) False)
% 51.11/51.30 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) True)))))))
% 51.11/51.30 Clause #886 (by clausification #[885]): ∀ (a a_1 : Iota),
% 51.11/51.30 Or (Eq (cC116 iV5475) False)
% 51.11/51.30 (Or (Eq (cowlThing iV5475) False)
% 51.11/51.30 (Or (Eq (cC138 iV5475) False)
% 51.11/51.30 (Or (Eq (cowlThing (skS.0 32 a)) False)
% 51.11/51.30 (Or (Eq (xsd_string (skS.0 33 a_1)) False)
% 51.11/51.30 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) True))))))
% 51.11/51.30 Clause #887 (by forward demodulation #[886, 236]): ∀ (a a_1 : Iota),
% 51.11/51.30 Or (Eq True False)
% 51.11/51.30 (Or (Eq (cowlThing iV5475) False)
% 51.11/51.30 (Or (Eq (cC138 iV5475) False)
% 51.11/51.30 (Or (Eq (cowlThing (skS.0 32 a)) False)
% 51.11/51.30 (Or (Eq (xsd_string (skS.0 33 a_1)) False)
% 51.11/51.30 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) True))))))
% 51.11/51.30 Clause #888 (by clausification #[887]): ∀ (a a_1 : Iota),
% 51.11/51.30 Or (Eq (cowlThing iV5475) False)
% 51.11/51.30 (Or (Eq (cC138 iV5475) False)
% 51.11/51.30 (Or (Eq (cowlThing (skS.0 32 a)) False)
% 51.11/51.30 (Or (Eq (xsd_string (skS.0 33 a_1)) False)
% 51.11/51.30 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) True)))))
% 51.11/51.30 Clause #889 (by forward demodulation #[888, 92]): ∀ (a a_1 : Iota),
% 51.11/51.30 Or (Eq True False)
% 51.11/51.30 (Or (Eq (cC138 iV5475) False)
% 51.11/51.30 (Or (Eq (cowlThing (skS.0 32 a)) False)
% 51.11/51.30 (Or (Eq (xsd_string (skS.0 33 a_1)) False)
% 51.11/51.30 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) True)))))
% 51.11/51.30 Clause #890 (by clausification #[889]): ∀ (a a_1 : Iota),
% 51.11/51.30 Or (Eq (cC138 iV5475) False)
% 51.11/51.30 (Or (Eq (cowlThing (skS.0 32 a)) False)
% 51.11/51.30 (Or (Eq (xsd_string (skS.0 33 a_1)) False)
% 51.11/51.30 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) True))))
% 51.11/51.30 Clause #891 (by forward demodulation #[890, 243]): ∀ (a a_1 : Iota),
% 51.11/51.30 Or (Eq True False)
% 51.11/51.30 (Or (Eq (cowlThing (skS.0 32 a)) False)
% 51.11/51.30 (Or (Eq (xsd_string (skS.0 33 a_1)) False)
% 51.11/51.30 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) True))))
% 51.11/51.30 Clause #892 (by clausification #[891]): ∀ (a a_1 : Iota),
% 51.11/51.30 Or (Eq (cowlThing (skS.0 32 a)) False)
% 51.11/51.30 (Or (Eq (xsd_string (skS.0 33 a_1)) False)
% 51.11/51.30 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) True)))
% 51.11/51.30 Clause #893 (by forward demodulation #[892, 92]): ∀ (a a_1 : Iota),
% 51.11/51.30 Or (Eq True False)
% 51.11/51.30 (Or (Eq (xsd_string (skS.0 33 a)) False)
% 51.11/51.30 (Or (Eq (cowlNothing (skS.0 32 a_1)) True) (Eq (xsd_integer (skS.0 33 a)) True)))
% 51.11/51.30 Clause #894 (by clausification #[893]): ∀ (a a_1 : Iota),
% 51.11/51.30 Or (Eq (xsd_string (skS.0 33 a)) False)
% 51.11/51.30 (Or (Eq (cowlNothing (skS.0 32 a_1)) True) (Eq (xsd_integer (skS.0 33 a)) True))
% 51.11/51.30 Clause #1836 (by clausification #[882]): ∀ (a a_1 : Iota),
% 51.11/51.30 Or (Eq (cC140 iV5475) False)
% 51.11/51.30 (Or (Eq (cC116 iV5475) False)
% 51.11/51.30 (Or (Eq (cowlThing iV5475) False)
% 51.11/51.30 (Or (Eq (cC138 iV5475) False)
% 51.11/51.30 (Or (Eq (cowlThing (skS.0 32 a)) False)
% 51.11/51.30 (Or (Eq (xsd_string (skS.0 33 a_1)) True)
% 51.11/51.30 (Or (Eq (Not (xsd_integer (skS.0 33 a_1))) True) (Eq (cowlNothing (skS.0 32 a)) True)))))))
% 51.11/51.30 Clause #1837 (by clausification #[1836]): ∀ (a a_1 : Iota),
% 51.11/51.30 Or (Eq (cC140 iV5475) False)
% 51.11/51.30 (Or (Eq (cC116 iV5475) False)
% 51.11/51.30 (Or (Eq (cowlThing iV5475) False)
% 51.11/51.30 (Or (Eq (cC138 iV5475) False)
% 51.11/51.30 (Or (Eq (cowlThing (skS.0 32 a)) False)
% 51.11/51.32 (Or (Eq (xsd_string (skS.0 33 a_1)) True)
% 51.11/51.32 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) False)))))))
% 51.11/51.32 Clause #1838 (by forward demodulation #[1837, 238]): ∀ (a a_1 : Iota),
% 51.11/51.32 Or (Eq True False)
% 51.11/51.32 (Or (Eq (cC116 iV5475) False)
% 51.11/51.32 (Or (Eq (cowlThing iV5475) False)
% 51.11/51.32 (Or (Eq (cC138 iV5475) False)
% 51.11/51.32 (Or (Eq (cowlThing (skS.0 32 a)) False)
% 51.11/51.32 (Or (Eq (xsd_string (skS.0 33 a_1)) True)
% 51.11/51.32 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) False)))))))
% 51.11/51.32 Clause #1839 (by clausification #[1838]): ∀ (a a_1 : Iota),
% 51.11/51.32 Or (Eq (cC116 iV5475) False)
% 51.11/51.32 (Or (Eq (cowlThing iV5475) False)
% 51.11/51.32 (Or (Eq (cC138 iV5475) False)
% 51.11/51.32 (Or (Eq (cowlThing (skS.0 32 a)) False)
% 51.11/51.32 (Or (Eq (xsd_string (skS.0 33 a_1)) True)
% 51.11/51.32 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) False))))))
% 51.11/51.32 Clause #1840 (by forward demodulation #[1839, 236]): ∀ (a a_1 : Iota),
% 51.11/51.32 Or (Eq True False)
% 51.11/51.32 (Or (Eq (cowlThing iV5475) False)
% 51.11/51.32 (Or (Eq (cC138 iV5475) False)
% 51.11/51.32 (Or (Eq (cowlThing (skS.0 32 a)) False)
% 51.11/51.32 (Or (Eq (xsd_string (skS.0 33 a_1)) True)
% 51.11/51.32 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) False))))))
% 51.11/51.32 Clause #1841 (by clausification #[1840]): ∀ (a a_1 : Iota),
% 51.11/51.32 Or (Eq (cowlThing iV5475) False)
% 51.11/51.32 (Or (Eq (cC138 iV5475) False)
% 51.11/51.32 (Or (Eq (cowlThing (skS.0 32 a)) False)
% 51.11/51.32 (Or (Eq (xsd_string (skS.0 33 a_1)) True)
% 51.11/51.32 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) False)))))
% 51.11/51.32 Clause #1842 (by forward demodulation #[1841, 92]): ∀ (a a_1 : Iota),
% 51.11/51.32 Or (Eq True False)
% 51.11/51.32 (Or (Eq (cC138 iV5475) False)
% 51.11/51.32 (Or (Eq (cowlThing (skS.0 32 a)) False)
% 51.11/51.32 (Or (Eq (xsd_string (skS.0 33 a_1)) True)
% 51.11/51.32 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) False)))))
% 51.11/51.32 Clause #1843 (by clausification #[1842]): ∀ (a a_1 : Iota),
% 51.11/51.32 Or (Eq (cC138 iV5475) False)
% 51.11/51.32 (Or (Eq (cowlThing (skS.0 32 a)) False)
% 51.11/51.32 (Or (Eq (xsd_string (skS.0 33 a_1)) True)
% 51.11/51.32 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) False))))
% 51.11/51.32 Clause #1844 (by forward demodulation #[1843, 243]): ∀ (a a_1 : Iota),
% 51.11/51.32 Or (Eq True False)
% 51.11/51.32 (Or (Eq (cowlThing (skS.0 32 a)) False)
% 51.11/51.32 (Or (Eq (xsd_string (skS.0 33 a_1)) True)
% 51.11/51.32 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) False))))
% 51.11/51.32 Clause #1845 (by clausification #[1844]): ∀ (a a_1 : Iota),
% 51.11/51.32 Or (Eq (cowlThing (skS.0 32 a)) False)
% 51.11/51.32 (Or (Eq (xsd_string (skS.0 33 a_1)) True)
% 51.11/51.32 (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) False)))
% 51.11/51.32 Clause #1846 (by forward demodulation #[1845, 92]): ∀ (a a_1 : Iota),
% 51.11/51.32 Or (Eq True False)
% 51.11/51.32 (Or (Eq (xsd_string (skS.0 33 a)) True)
% 51.11/51.32 (Or (Eq (cowlNothing (skS.0 32 a_1)) True) (Eq (xsd_integer (skS.0 33 a)) False)))
% 51.11/51.32 Clause #1847 (by clausification #[1846]): ∀ (a a_1 : Iota),
% 51.11/51.32 Or (Eq (xsd_string (skS.0 33 a)) True)
% 51.11/51.32 (Or (Eq (cowlNothing (skS.0 32 a_1)) True) (Eq (xsd_integer (skS.0 33 a)) False))
% 51.11/51.32 Clause #1848 (by superposition #[1847, 99]): ∀ (a a_1 : Iota),
% 51.11/51.32 Or (Eq (xsd_string (skS.0 33 a)) True)
% 51.11/51.32 (Or (Eq (cowlNothing (skS.0 32 a_1)) True) (Or (Eq (xsd_string (skS.0 33 a)) True) (Eq False True)))
% 51.11/51.32 Clause #6069 (by clausification #[1848]): ∀ (a a_1 : Iota),
% 51.11/51.32 Or (Eq (xsd_string (skS.0 33 a)) True) (Or (Eq (cowlNothing (skS.0 32 a_1)) True) (Eq (xsd_string (skS.0 33 a)) True))
% 51.11/51.32 Clause #6070 (by eliminate duplicate literals #[6069]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 33 a)) True) (Eq (cowlNothing (skS.0 32 a_1)) True)
% 51.11/51.32 Clause #6073 (by superposition #[6070, 93]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 33 a)) True) (Eq True False)
% 51.11/51.32 Clause #6074 (by clausification #[6073]): ∀ (a : Iota), Eq (xsd_string (skS.0 33 a)) True
% 51.11/51.32 Clause #6075 (by backward demodulation #[6074, 894]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) True))
% 51.11/51.32 Clause #6076 (by superposition #[6074, 123]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 33 a)) False)
% 51.20/51.36 Clause #6077 (by clausification #[6076]): ∀ (a : Iota), Eq (xsd_integer (skS.0 33 a)) False
% 51.20/51.36 Clause #6079 (by clausification #[6075]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq (xsd_integer (skS.0 33 a_1)) True)
% 51.20/51.36 Clause #6081 (by superposition #[6079, 6077]): ∀ (a : Iota), Or (Eq (cowlNothing (skS.0 32 a)) True) (Eq True False)
% 51.20/51.36 Clause #6082 (by clausification #[6081]): ∀ (a : Iota), Eq (cowlNothing (skS.0 32 a)) True
% 51.20/51.36 Clause #6083 (by superposition #[6082, 93]): Eq True False
% 51.20/51.36 Clause #6085 (by clausification #[6083]): False
% 51.20/51.36 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------