TSTP Solution File: KRS130+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KRS130+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 05:43:27 EDT 2023
% Result : Theorem 4.19s 4.42s
% Output : Proof 4.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS130+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.13 % Command : duper %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 01:53:07 EDT 2023
% 0.13/0.33 % CPUTime :
% 4.19/4.42 SZS status Theorem for theBenchmark.p
% 4.19/4.42 SZS output start Proof for theBenchmark.p
% 4.19/4.42 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True
% 4.19/4.42 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True
% 4.19/4.42 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), cNothing X → Not (Exists fun Y => rp X Y)) True
% 4.19/4.42 Clause #3 (by assumption #[]): Eq (∀ (X : Iota), cNothing X → Exists fun Y0 => rp X Y0) True
% 4.19/4.42 Clause #4 (by assumption #[]): Eq
% 4.19/4.42 (Not
% 4.19/4.42 (And
% 4.19/4.42 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 4.19/4.42 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 4.19/4.42 (∀ (X : Iota), Iff (cNothing X) (cowlNothing X))))
% 4.19/4.42 True
% 4.19/4.42 Clause #5 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True
% 4.19/4.42 Clause #6 (by clausification #[5]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False)
% 4.19/4.42 Clause #7 (by clausification #[5]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True)
% 4.19/4.42 Clause #8 (by clausification #[6]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True)
% 4.19/4.42 Clause #9 (by clausification #[7]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False)
% 4.19/4.42 Clause #12 (by clausification #[0]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True
% 4.19/4.42 Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True
% 4.19/4.42 Clause #14 (by clausification #[12]): ∀ (a : Iota), Eq (cowlThing a) True
% 4.19/4.42 Clause #15 (by clausification #[13]): ∀ (a : Iota), Eq (cowlNothing a) False
% 4.19/4.42 Clause #16 (by betaEtaReduce #[2]): Eq (∀ (X : Iota), cNothing X → Not (Exists (rp X))) True
% 4.19/4.42 Clause #17 (by clausification #[16]): ∀ (a : Iota), Eq (cNothing a → Not (Exists (rp a))) True
% 4.19/4.42 Clause #18 (by clausification #[17]): ∀ (a : Iota), Or (Eq (cNothing a) False) (Eq (Not (Exists (rp a))) True)
% 4.19/4.42 Clause #19 (by clausification #[18]): ∀ (a : Iota), Or (Eq (cNothing a) False) (Eq (Exists (rp a)) False)
% 4.19/4.42 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Or (Eq (cNothing a) False) (Eq (rp a a_1) False)
% 4.19/4.42 Clause #21 (by betaEtaReduce #[3]): Eq (∀ (X : Iota), cNothing X → Exists (rp X)) True
% 4.19/4.42 Clause #22 (by clausification #[21]): ∀ (a : Iota), Eq (cNothing a → Exists (rp a)) True
% 4.19/4.42 Clause #23 (by clausification #[22]): ∀ (a : Iota), Or (Eq (cNothing a) False) (Eq (Exists (rp a)) True)
% 4.19/4.42 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), Or (Eq (cNothing a) False) (Eq (rp a (skS.0 0 a a_1)) True)
% 4.19/4.42 Clause #25 (by clausification #[4]): Eq
% 4.19/4.42 (And
% 4.19/4.42 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 4.19/4.42 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 4.19/4.42 (∀ (X : Iota), Iff (cNothing X) (cowlNothing X)))
% 4.19/4.42 False
% 4.19/4.42 Clause #26 (by clausification #[25]): Or
% 4.19/4.42 (Eq
% 4.19/4.42 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 4.19/4.42 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 4.19/4.42 False)
% 4.19/4.42 (Eq (∀ (X : Iota), Iff (cNothing X) (cowlNothing X)) False)
% 4.19/4.42 Clause #27 (by clausification #[26]): Or (Eq (∀ (X : Iota), Iff (cNothing X) (cowlNothing X)) False)
% 4.19/4.42 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False)
% 4.19/4.42 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False))
% 4.19/4.42 Clause #28 (by clausification #[27]): ∀ (a : Iota),
% 4.19/4.42 Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False)
% 4.19/4.42 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)
% 4.19/4.42 (Eq (Not (Iff (cNothing (skS.0 1 a)) (cowlNothing (skS.0 1 a)))) True))
% 4.19/4.42 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota),
% 4.19/4.42 Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)
% 4.19/4.42 (Or (Eq (Not (Iff (cNothing (skS.0 1 a)) (cowlNothing (skS.0 1 a)))) True)
% 4.19/4.42 (Eq (Not (And (cowlThing (skS.0 2 a_1)) (Not (cowlNothing (skS.0 2 a_1))))) True))
% 4.19/4.42 Clause #30 (by clausification #[29]): ∀ (a a_1 a_2 : Iota),
% 4.19/4.42 Or (Eq (Not (Iff (cNothing (skS.0 1 a)) (cowlNothing (skS.0 1 a)))) True)
% 4.19/4.42 (Or (Eq (Not (And (cowlThing (skS.0 2 a_1)) (Not (cowlNothing (skS.0 2 a_1))))) True)
% 4.19/4.45 (Eq (Not (Iff (xsd_string (skS.0 3 a_2)) (Not (xsd_integer (skS.0 3 a_2))))) True))
% 4.19/4.45 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 : Iota),
% 4.19/4.45 Or (Eq (Not (And (cowlThing (skS.0 2 a)) (Not (cowlNothing (skS.0 2 a))))) True)
% 4.19/4.45 (Or (Eq (Not (Iff (xsd_string (skS.0 3 a_1)) (Not (xsd_integer (skS.0 3 a_1))))) True)
% 4.19/4.45 (Eq (Iff (cNothing (skS.0 1 a_2)) (cowlNothing (skS.0 1 a_2))) False))
% 4.19/4.45 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : Iota),
% 4.19/4.45 Or (Eq (Not (Iff (xsd_string (skS.0 3 a)) (Not (xsd_integer (skS.0 3 a))))) True)
% 4.19/4.45 (Or (Eq (Iff (cNothing (skS.0 1 a_1)) (cowlNothing (skS.0 1 a_1))) False)
% 4.19/4.45 (Eq (And (cowlThing (skS.0 2 a_2)) (Not (cowlNothing (skS.0 2 a_2)))) False))
% 4.19/4.45 Clause #33 (by clausification #[32]): ∀ (a a_1 a_2 : Iota),
% 4.19/4.45 Or (Eq (Iff (cNothing (skS.0 1 a)) (cowlNothing (skS.0 1 a))) False)
% 4.19/4.45 (Or (Eq (And (cowlThing (skS.0 2 a_1)) (Not (cowlNothing (skS.0 2 a_1)))) False)
% 4.19/4.45 (Eq (Iff (xsd_string (skS.0 3 a_2)) (Not (xsd_integer (skS.0 3 a_2)))) False))
% 4.19/4.45 Clause #35 (by clausification #[33]): ∀ (a a_1 a_2 : Iota),
% 4.19/4.45 Or (Eq (And (cowlThing (skS.0 2 a)) (Not (cowlNothing (skS.0 2 a)))) False)
% 4.19/4.45 (Or (Eq (Iff (xsd_string (skS.0 3 a_1)) (Not (xsd_integer (skS.0 3 a_1)))) False)
% 4.19/4.45 (Or (Eq (cNothing (skS.0 1 a_2)) True) (Eq (cowlNothing (skS.0 1 a_2)) True)))
% 4.19/4.45 Clause #42 (by clausification #[35]): ∀ (a a_1 a_2 : Iota),
% 4.19/4.45 Or (Eq (Iff (xsd_string (skS.0 3 a)) (Not (xsd_integer (skS.0 3 a)))) False)
% 4.19/4.45 (Or (Eq (cNothing (skS.0 1 a_1)) True)
% 4.19/4.45 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.19/4.45 (Or (Eq (cowlThing (skS.0 2 a_2)) False) (Eq (Not (cowlNothing (skS.0 2 a_2))) False))))
% 4.19/4.45 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 : Iota),
% 4.19/4.45 Or (Eq (cNothing (skS.0 1 a)) True)
% 4.19/4.45 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.19/4.45 (Or (Eq (cowlThing (skS.0 2 a_1)) False)
% 4.19/4.45 (Or (Eq (Not (cowlNothing (skS.0 2 a_1))) False)
% 4.19/4.45 (Or (Eq (xsd_string (skS.0 3 a_2)) False) (Eq (Not (xsd_integer (skS.0 3 a_2))) False)))))
% 4.19/4.45 Clause #44 (by clausification #[42]): ∀ (a a_1 a_2 : Iota),
% 4.19/4.45 Or (Eq (cNothing (skS.0 1 a)) True)
% 4.19/4.45 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.19/4.45 (Or (Eq (cowlThing (skS.0 2 a_1)) False)
% 4.19/4.45 (Or (Eq (Not (cowlNothing (skS.0 2 a_1))) False)
% 4.19/4.45 (Or (Eq (xsd_string (skS.0 3 a_2)) True) (Eq (Not (xsd_integer (skS.0 3 a_2))) True)))))
% 4.19/4.45 Clause #45 (by clausification #[43]): ∀ (a a_1 a_2 : Iota),
% 4.19/4.45 Or (Eq (cNothing (skS.0 1 a)) True)
% 4.19/4.45 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.19/4.45 (Or (Eq (cowlThing (skS.0 2 a_1)) False)
% 4.19/4.45 (Or (Eq (xsd_string (skS.0 3 a_2)) False)
% 4.19/4.45 (Or (Eq (Not (xsd_integer (skS.0 3 a_2))) False) (Eq (cowlNothing (skS.0 2 a_1)) True)))))
% 4.19/4.45 Clause #46 (by clausification #[45]): ∀ (a a_1 a_2 : Iota),
% 4.19/4.45 Or (Eq (cNothing (skS.0 1 a)) True)
% 4.19/4.45 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.19/4.45 (Or (Eq (cowlThing (skS.0 2 a_1)) False)
% 4.19/4.45 (Or (Eq (xsd_string (skS.0 3 a_2)) False)
% 4.19/4.45 (Or (Eq (cowlNothing (skS.0 2 a_1)) True) (Eq (xsd_integer (skS.0 3 a_2)) True)))))
% 4.19/4.45 Clause #47 (by forward demodulation #[46, 15]): ∀ (a a_1 a_2 : Iota),
% 4.19/4.45 Or (Eq (cNothing (skS.0 1 a)) True)
% 4.19/4.45 (Or (Eq False True)
% 4.19/4.45 (Or (Eq (cowlThing (skS.0 2 a_1)) False)
% 4.19/4.45 (Or (Eq (xsd_string (skS.0 3 a_2)) False)
% 4.19/4.45 (Or (Eq (cowlNothing (skS.0 2 a_1)) True) (Eq (xsd_integer (skS.0 3 a_2)) True)))))
% 4.19/4.45 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 : Iota),
% 4.19/4.45 Or (Eq (cNothing (skS.0 1 a)) True)
% 4.19/4.45 (Or (Eq (cowlThing (skS.0 2 a_1)) False)
% 4.19/4.45 (Or (Eq (xsd_string (skS.0 3 a_2)) False)
% 4.19/4.45 (Or (Eq (cowlNothing (skS.0 2 a_1)) True) (Eq (xsd_integer (skS.0 3 a_2)) True))))
% 4.19/4.45 Clause #49 (by forward demodulation #[48, 15]): ∀ (a a_1 a_2 : Iota),
% 4.19/4.45 Or (Eq (cNothing (skS.0 1 a)) True)
% 4.19/4.45 (Or (Eq (cowlThing (skS.0 2 a_1)) False)
% 4.19/4.45 (Or (Eq (xsd_string (skS.0 3 a_2)) False) (Or (Eq False True) (Eq (xsd_integer (skS.0 3 a_2)) True))))
% 4.19/4.45 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 : Iota),
% 4.19/4.45 Or (Eq (cNothing (skS.0 1 a)) True)
% 4.19/4.45 (Or (Eq (cowlThing (skS.0 2 a_1)) False)
% 4.19/4.45 (Or (Eq (xsd_string (skS.0 3 a_2)) False) (Eq (xsd_integer (skS.0 3 a_2)) True)))
% 4.30/4.48 Clause #51 (by superposition #[50, 14]): ∀ (a a_1 : Iota),
% 4.30/4.48 Or (Eq (cNothing (skS.0 1 a)) True)
% 4.30/4.48 (Or (Eq (xsd_string (skS.0 3 a_1)) False) (Or (Eq (xsd_integer (skS.0 3 a_1)) True) (Eq False True)))
% 4.30/4.48 Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota),
% 4.30/4.48 Or (Eq (cNothing (skS.0 1 a)) True) (Or (Eq (xsd_string (skS.0 3 a_1)) False) (Eq (xsd_integer (skS.0 3 a_1)) True))
% 4.30/4.48 Clause #53 (by superposition #[52, 8]): ∀ (a a_1 : Iota),
% 4.30/4.48 Or (Eq (cNothing (skS.0 1 a)) True)
% 4.30/4.48 (Or (Eq (xsd_integer (skS.0 3 a_1)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 3 a_1)) True)))
% 4.30/4.48 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota),
% 4.30/4.48 Or (Eq (cNothing (skS.0 1 a)) True) (Or (Eq (xsd_integer (skS.0 3 a_1)) True) (Eq (xsd_integer (skS.0 3 a_1)) True))
% 4.30/4.48 Clause #55 (by eliminate duplicate literals #[54]): ∀ (a a_1 : Iota), Or (Eq (cNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 3 a_1)) True)
% 4.30/4.48 Clause #56 (by superposition #[55, 20]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_integer (skS.0 3 a)) True) (Or (Eq True False) (Eq (rp (skS.0 1 a_1) a_2) False))
% 4.30/4.48 Clause #57 (by superposition #[55, 24]): ∀ (a a_1 a_2 : Iota),
% 4.30/4.48 Or (Eq (xsd_integer (skS.0 3 a)) True) (Or (Eq True False) (Eq (rp (skS.0 1 a_1) (skS.0 0 (skS.0 1 a_1) a_2)) True))
% 4.30/4.48 Clause #61 (by clausification #[56]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_integer (skS.0 3 a)) True) (Eq (rp (skS.0 1 a_1) a_2) False)
% 4.30/4.48 Clause #62 (by clausification #[57]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_integer (skS.0 3 a)) True) (Eq (rp (skS.0 1 a_1) (skS.0 0 (skS.0 1 a_1) a_2)) True)
% 4.30/4.48 Clause #63 (by superposition #[62, 61]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 3 a)) True) (Or (Eq (xsd_integer (skS.0 3 a_1)) True) (Eq True False))
% 4.30/4.48 Clause #64 (by clausification #[63]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 3 a)) True) (Eq (xsd_integer (skS.0 3 a_1)) True)
% 4.30/4.48 Clause #65 (by equality factoring #[64]): ∀ (a : Iota), Or (Ne True True) (Eq (xsd_integer (skS.0 3 a)) True)
% 4.30/4.48 Clause #66 (by clausification #[65]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 3 a)) True) (Or (Eq True False) (Eq True False))
% 4.30/4.48 Clause #68 (by clausification #[66]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 3 a)) True) (Eq True False)
% 4.30/4.48 Clause #69 (by clausification #[68]): ∀ (a : Iota), Eq (xsd_integer (skS.0 3 a)) True
% 4.30/4.48 Clause #70 (by clausification #[44]): ∀ (a a_1 a_2 : Iota),
% 4.30/4.48 Or (Eq (cNothing (skS.0 1 a)) True)
% 4.30/4.48 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.30/4.48 (Or (Eq (cowlThing (skS.0 2 a_1)) False)
% 4.30/4.48 (Or (Eq (xsd_string (skS.0 3 a_2)) True)
% 4.30/4.48 (Or (Eq (Not (xsd_integer (skS.0 3 a_2))) True) (Eq (cowlNothing (skS.0 2 a_1)) True)))))
% 4.30/4.48 Clause #71 (by clausification #[70]): ∀ (a a_1 a_2 : Iota),
% 4.30/4.48 Or (Eq (cNothing (skS.0 1 a)) True)
% 4.30/4.48 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.30/4.48 (Or (Eq (cowlThing (skS.0 2 a_1)) False)
% 4.30/4.48 (Or (Eq (xsd_string (skS.0 3 a_2)) True)
% 4.30/4.48 (Or (Eq (cowlNothing (skS.0 2 a_1)) True) (Eq (xsd_integer (skS.0 3 a_2)) False)))))
% 4.30/4.48 Clause #72 (by forward demodulation #[71, 15]): ∀ (a a_1 a_2 : Iota),
% 4.30/4.48 Or (Eq (cNothing (skS.0 1 a)) True)
% 4.30/4.48 (Or (Eq False True)
% 4.30/4.48 (Or (Eq (cowlThing (skS.0 2 a_1)) False)
% 4.30/4.48 (Or (Eq (xsd_string (skS.0 3 a_2)) True)
% 4.30/4.48 (Or (Eq (cowlNothing (skS.0 2 a_1)) True) (Eq (xsd_integer (skS.0 3 a_2)) False)))))
% 4.30/4.48 Clause #73 (by clausification #[72]): ∀ (a a_1 a_2 : Iota),
% 4.30/4.48 Or (Eq (cNothing (skS.0 1 a)) True)
% 4.30/4.48 (Or (Eq (cowlThing (skS.0 2 a_1)) False)
% 4.30/4.48 (Or (Eq (xsd_string (skS.0 3 a_2)) True)
% 4.30/4.48 (Or (Eq (cowlNothing (skS.0 2 a_1)) True) (Eq (xsd_integer (skS.0 3 a_2)) False))))
% 4.30/4.48 Clause #74 (by forward demodulation #[73, 15]): ∀ (a a_1 a_2 : Iota),
% 4.30/4.48 Or (Eq (cNothing (skS.0 1 a)) True)
% 4.30/4.48 (Or (Eq (cowlThing (skS.0 2 a_1)) False)
% 4.30/4.48 (Or (Eq (xsd_string (skS.0 3 a_2)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 3 a_2)) False))))
% 4.30/4.48 Clause #75 (by clausification #[74]): ∀ (a a_1 a_2 : Iota),
% 4.30/4.48 Or (Eq (cNothing (skS.0 1 a)) True)
% 4.30/4.48 (Or (Eq (cowlThing (skS.0 2 a_1)) False)
% 4.30/4.48 (Or (Eq (xsd_string (skS.0 3 a_2)) True) (Eq (xsd_integer (skS.0 3 a_2)) False)))
% 4.33/4.49 Clause #76 (by forward demodulation #[75, 69]): ∀ (a a_1 a_2 : Iota),
% 4.33/4.49 Or (Eq (cNothing (skS.0 1 a)) True)
% 4.33/4.49 (Or (Eq (cowlThing (skS.0 2 a_1)) False) (Or (Eq (xsd_string (skS.0 3 a_2)) True) (Eq True False)))
% 4.33/4.49 Clause #77 (by clausification #[76]): ∀ (a a_1 a_2 : Iota),
% 4.33/4.49 Or (Eq (cNothing (skS.0 1 a)) True) (Or (Eq (cowlThing (skS.0 2 a_1)) False) (Eq (xsd_string (skS.0 3 a_2)) True))
% 4.33/4.49 Clause #78 (by superposition #[77, 14]): ∀ (a a_1 : Iota), Or (Eq (cNothing (skS.0 1 a)) True) (Or (Eq (xsd_string (skS.0 3 a_1)) True) (Eq False True))
% 4.33/4.49 Clause #79 (by clausification #[78]): ∀ (a a_1 : Iota), Or (Eq (cNothing (skS.0 1 a)) True) (Eq (xsd_string (skS.0 3 a_1)) True)
% 4.33/4.49 Clause #81 (by superposition #[79, 24]): ∀ (a a_1 a_2 : Iota),
% 4.33/4.49 Or (Eq (xsd_string (skS.0 3 a)) True) (Or (Eq True False) (Eq (rp (skS.0 1 a_1) (skS.0 0 (skS.0 1 a_1) a_2)) True))
% 4.33/4.49 Clause #82 (by superposition #[79, 9]): ∀ (a a_1 : Iota), Or (Eq (cNothing (skS.0 1 a)) True) (Or (Eq True False) (Eq (xsd_integer (skS.0 3 a_1)) False))
% 4.33/4.49 Clause #83 (by clausification #[82]): ∀ (a a_1 : Iota), Or (Eq (cNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 3 a_1)) False)
% 4.33/4.49 Clause #84 (by superposition #[83, 69]): ∀ (a : Iota), Or (Eq (cNothing (skS.0 1 a)) True) (Eq False True)
% 4.33/4.49 Clause #85 (by clausification #[84]): ∀ (a : Iota), Eq (cNothing (skS.0 1 a)) True
% 4.33/4.49 Clause #86 (by superposition #[85, 20]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (rp (skS.0 1 a) a_1) False)
% 4.33/4.49 Clause #88 (by clausification #[86]): ∀ (a a_1 : Iota), Eq (rp (skS.0 1 a) a_1) False
% 4.33/4.49 Clause #90 (by clausification #[81]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_string (skS.0 3 a)) True) (Eq (rp (skS.0 1 a_1) (skS.0 0 (skS.0 1 a_1) a_2)) True)
% 4.33/4.49 Clause #92 (by superposition #[90, 88]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 3 a)) True) (Eq True False)
% 4.33/4.49 Clause #93 (by clausification #[92]): ∀ (a : Iota), Eq (xsd_string (skS.0 3 a)) True
% 4.33/4.49 Clause #94 (by superposition #[93, 9]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 3 a)) False)
% 4.33/4.49 Clause #95 (by clausification #[94]): ∀ (a : Iota), Eq (xsd_integer (skS.0 3 a)) False
% 4.33/4.49 Clause #96 (by superposition #[95, 69]): Eq False True
% 4.33/4.49 Clause #97 (by clausification #[96]): False
% 4.33/4.49 SZS output end Proof for theBenchmark.p
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