TSTP Solution File: KRS134+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KRS134+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n008.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 05:43:28 EDT 2023
% Result : Theorem 4.30s 4.53s
% Output : Proof 4.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS134+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 01:44:02 EDT 2023
% 0.13/0.35 % CPUTime :
% 4.30/4.53 SZS status Theorem for theBenchmark.p
% 4.30/4.53 SZS output start Proof for theBenchmark.p
% 4.30/4.53 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True
% 4.30/4.53 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True
% 4.30/4.53 Clause #2 (by assumption #[]): Eq (∀ (X Y : Iota), rprop X Y → cA Y) True
% 4.30/4.53 Clause #3 (by assumption #[]): Eq
% 4.30/4.53 (Not
% 4.30/4.53 (And
% 4.30/4.53 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 4.30/4.53 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 4.30/4.53 (∀ (X : Iota), cowlThing X → ∀ (Y : Iota), rprop X Y → cA Y)))
% 4.30/4.53 True
% 4.30/4.53 Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (Y : Iota), rprop a Y → cA Y) True
% 4.30/4.53 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), Eq (rprop a a_1 → cA a_1) True
% 4.30/4.53 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (rprop a a_1) False) (Eq (cA a_1) True)
% 4.30/4.53 Clause #7 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True
% 4.30/4.53 Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False)
% 4.30/4.53 Clause #9 (by clausification #[7]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True)
% 4.30/4.53 Clause #10 (by clausification #[8]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True)
% 4.30/4.53 Clause #11 (by clausification #[9]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False)
% 4.30/4.53 Clause #13 (by clausification #[0]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True
% 4.30/4.53 Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True
% 4.30/4.53 Clause #15 (by clausification #[13]): ∀ (a : Iota), Eq (cowlThing a) True
% 4.30/4.53 Clause #16 (by clausification #[14]): ∀ (a : Iota), Eq (cowlNothing a) False
% 4.30/4.53 Clause #17 (by clausification #[3]): Eq
% 4.30/4.53 (And
% 4.30/4.53 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 4.30/4.53 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 4.30/4.53 (∀ (X : Iota), cowlThing X → ∀ (Y : Iota), rprop X Y → cA Y))
% 4.30/4.53 False
% 4.30/4.53 Clause #18 (by clausification #[17]): Or
% 4.30/4.53 (Eq
% 4.30/4.53 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 4.30/4.53 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 4.30/4.53 False)
% 4.30/4.53 (Eq (∀ (X : Iota), cowlThing X → ∀ (Y : Iota), rprop X Y → cA Y) False)
% 4.30/4.53 Clause #19 (by clausification #[18]): Or (Eq (∀ (X : Iota), cowlThing X → ∀ (Y : Iota), rprop X Y → cA Y) False)
% 4.30/4.53 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False)
% 4.30/4.53 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False))
% 4.30/4.53 Clause #20 (by clausification #[19]): ∀ (a : Iota),
% 4.30/4.53 Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False)
% 4.30/4.53 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)
% 4.30/4.53 (Eq (Not (cowlThing (skS.0 0 a) → ∀ (Y : Iota), rprop (skS.0 0 a) Y → cA Y)) True))
% 4.30/4.53 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota),
% 4.30/4.53 Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)
% 4.30/4.53 (Or (Eq (Not (cowlThing (skS.0 0 a) → ∀ (Y : Iota), rprop (skS.0 0 a) Y → cA Y)) True)
% 4.30/4.53 (Eq (Not (And (cowlThing (skS.0 1 a_1)) (Not (cowlNothing (skS.0 1 a_1))))) True))
% 4.30/4.53 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 : Iota),
% 4.30/4.53 Or (Eq (Not (cowlThing (skS.0 0 a) → ∀ (Y : Iota), rprop (skS.0 0 a) Y → cA Y)) True)
% 4.30/4.53 (Or (Eq (Not (And (cowlThing (skS.0 1 a_1)) (Not (cowlNothing (skS.0 1 a_1))))) True)
% 4.30/4.53 (Eq (Not (Iff (xsd_string (skS.0 2 a_2)) (Not (xsd_integer (skS.0 2 a_2))))) True))
% 4.30/4.53 Clause #23 (by clausification #[22]): ∀ (a a_1 a_2 : Iota),
% 4.30/4.53 Or (Eq (Not (And (cowlThing (skS.0 1 a)) (Not (cowlNothing (skS.0 1 a))))) True)
% 4.30/4.53 (Or (Eq (Not (Iff (xsd_string (skS.0 2 a_1)) (Not (xsd_integer (skS.0 2 a_1))))) True)
% 4.30/4.53 (Eq (cowlThing (skS.0 0 a_2) → ∀ (Y : Iota), rprop (skS.0 0 a_2) Y → cA Y) False))
% 4.30/4.53 Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 : Iota),
% 4.30/4.53 Or (Eq (Not (Iff (xsd_string (skS.0 2 a)) (Not (xsd_integer (skS.0 2 a))))) True)
% 4.30/4.53 (Or (Eq (cowlThing (skS.0 0 a_1) → ∀ (Y : Iota), rprop (skS.0 0 a_1) Y → cA Y) False)
% 4.30/4.55 (Eq (And (cowlThing (skS.0 1 a_2)) (Not (cowlNothing (skS.0 1 a_2)))) False))
% 4.30/4.55 Clause #25 (by clausification #[24]): ∀ (a a_1 a_2 : Iota),
% 4.30/4.55 Or (Eq (cowlThing (skS.0 0 a) → ∀ (Y : Iota), rprop (skS.0 0 a) Y → cA Y) False)
% 4.30/4.55 (Or (Eq (And (cowlThing (skS.0 1 a_1)) (Not (cowlNothing (skS.0 1 a_1)))) False)
% 4.30/4.55 (Eq (Iff (xsd_string (skS.0 2 a_2)) (Not (xsd_integer (skS.0 2 a_2)))) False))
% 4.30/4.55 Clause #27 (by clausification #[25]): ∀ (a a_1 a_2 : Iota),
% 4.30/4.55 Or (Eq (And (cowlThing (skS.0 1 a)) (Not (cowlNothing (skS.0 1 a)))) False)
% 4.30/4.55 (Or (Eq (Iff (xsd_string (skS.0 2 a_1)) (Not (xsd_integer (skS.0 2 a_1)))) False)
% 4.30/4.55 (Eq (∀ (Y : Iota), rprop (skS.0 0 a_2) Y → cA Y) False))
% 4.30/4.55 Clause #36 (by clausification #[27]): ∀ (a a_1 a_2 : Iota),
% 4.30/4.55 Or (Eq (Iff (xsd_string (skS.0 2 a)) (Not (xsd_integer (skS.0 2 a)))) False)
% 4.30/4.55 (Or (Eq (∀ (Y : Iota), rprop (skS.0 0 a_1) Y → cA Y) False)
% 4.30/4.55 (Or (Eq (cowlThing (skS.0 1 a_2)) False) (Eq (Not (cowlNothing (skS.0 1 a_2))) False)))
% 4.30/4.55 Clause #37 (by clausification #[36]): ∀ (a a_1 a_2 : Iota),
% 4.30/4.55 Or (Eq (∀ (Y : Iota), rprop (skS.0 0 a) Y → cA Y) False)
% 4.30/4.55 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.30/4.55 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 4.30/4.55 (Or (Eq (xsd_string (skS.0 2 a_2)) False) (Eq (Not (xsd_integer (skS.0 2 a_2))) False))))
% 4.30/4.55 Clause #38 (by clausification #[36]): ∀ (a a_1 a_2 : Iota),
% 4.30/4.55 Or (Eq (∀ (Y : Iota), rprop (skS.0 0 a) Y → cA Y) False)
% 4.30/4.55 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.30/4.55 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 4.30/4.55 (Or (Eq (xsd_string (skS.0 2 a_2)) True) (Eq (Not (xsd_integer (skS.0 2 a_2))) True))))
% 4.30/4.55 Clause #39 (by clausification #[37]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.30/4.55 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.30/4.55 (Or (Eq (Not (cowlNothing (skS.0 1 a))) False)
% 4.30/4.55 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.30/4.55 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) False)
% 4.30/4.55 (Eq (Not (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3) → cA (skS.0 3 a_2 a_3))) True))))
% 4.30/4.55 Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.30/4.55 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.30/4.55 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.30/4.55 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) False)
% 4.30/4.55 (Or (Eq (Not (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3) → cA (skS.0 3 a_2 a_3))) True)
% 4.30/4.55 (Eq (cowlNothing (skS.0 1 a)) True))))
% 4.30/4.55 Clause #41 (by clausification #[40]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.30/4.55 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.30/4.55 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.30/4.55 (Or (Eq (Not (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3) → cA (skS.0 3 a_2 a_3))) True)
% 4.30/4.55 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True))))
% 4.30/4.55 Clause #42 (by clausification #[41]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.30/4.55 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.30/4.55 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.30/4.55 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.30/4.55 (Or (Eq (xsd_integer (skS.0 2 a_1)) True)
% 4.30/4.55 (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3) → cA (skS.0 3 a_2 a_3)) False))))
% 4.30/4.55 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.30/4.56 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.30/4.56 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.30/4.56 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.30/4.56 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3)) True))))
% 4.30/4.56 Clause #44 (by clausification #[42]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.30/4.56 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.30/4.56 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 4.30/4.56 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.30/4.56 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cA (skS.0 3 a_2 a_3)) False))))
% 4.30/4.56 Clause #45 (by forward demodulation #[43, 15]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.30/4.56 Or (Eq True False)
% 4.30/4.56 (Or (Eq (xsd_string (skS.0 2 a)) False)
% 4.30/4.56 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.30/4.56 (Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3)) True))))
% 4.30/4.56 Clause #46 (by clausification #[45]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.30/4.56 Or (Eq (xsd_string (skS.0 2 a)) False)
% 4.30/4.56 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.30/4.56 (Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3)) True)))
% 4.39/4.58 Clause #47 (by superposition #[46, 10]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.39/4.58 Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.39/4.58 (Or (Eq (xsd_integer (skS.0 2 a_1)) True)
% 4.39/4.58 (Or (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 2 a_1)) True))))
% 4.39/4.58 Clause #48 (by clausification #[38]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.39/4.58 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.39/4.58 (Or (Eq (Not (cowlNothing (skS.0 1 a))) False)
% 4.39/4.58 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.39/4.58 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) True)
% 4.39/4.58 (Eq (Not (rprop (skS.0 0 a_2) (skS.0 4 a_2 a_3) → cA (skS.0 4 a_2 a_3))) True))))
% 4.39/4.58 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.39/4.58 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.39/4.58 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.39/4.58 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) True)
% 4.39/4.58 (Or (Eq (Not (rprop (skS.0 0 a_2) (skS.0 4 a_2 a_3) → cA (skS.0 4 a_2 a_3))) True)
% 4.39/4.58 (Eq (cowlNothing (skS.0 1 a)) True))))
% 4.39/4.58 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.39/4.58 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.39/4.58 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.39/4.58 (Or (Eq (Not (rprop (skS.0 0 a_2) (skS.0 4 a_2 a_3) → cA (skS.0 4 a_2 a_3))) True)
% 4.39/4.58 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) False))))
% 4.39/4.58 Clause #51 (by clausification #[50]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.39/4.58 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.39/4.58 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.39/4.58 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.39/4.58 (Or (Eq (xsd_integer (skS.0 2 a_1)) False)
% 4.39/4.58 (Eq (rprop (skS.0 0 a_2) (skS.0 4 a_2 a_3) → cA (skS.0 4 a_2 a_3)) False))))
% 4.39/4.58 Clause #52 (by clausification #[51]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.39/4.58 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.39/4.58 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.39/4.58 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.39/4.58 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq (rprop (skS.0 0 a_2) (skS.0 4 a_2 a_3)) True))))
% 4.39/4.58 Clause #53 (by clausification #[51]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.39/4.58 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.39/4.58 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.39/4.58 (Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.39/4.58 (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq (cA (skS.0 4 a_2 a_3)) False))))
% 4.39/4.58 Clause #54 (by forward demodulation #[52, 15]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.39/4.58 Or (Eq True False)
% 4.39/4.58 (Or (Eq (xsd_string (skS.0 2 a)) True)
% 4.39/4.58 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.39/4.58 (Or (Eq (xsd_integer (skS.0 2 a)) False) (Eq (rprop (skS.0 0 a_2) (skS.0 4 a_2 a_3)) True))))
% 4.39/4.58 Clause #55 (by clausification #[54]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.39/4.58 Or (Eq (xsd_string (skS.0 2 a)) True)
% 4.39/4.58 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.39/4.58 (Or (Eq (xsd_integer (skS.0 2 a)) False) (Eq (rprop (skS.0 0 a_2) (skS.0 4 a_2 a_3)) True)))
% 4.39/4.58 Clause #56 (by forward demodulation #[53, 15]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.39/4.58 Or (Eq True False)
% 4.39/4.58 (Or (Eq (xsd_string (skS.0 2 a)) True)
% 4.39/4.58 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.39/4.58 (Or (Eq (xsd_integer (skS.0 2 a)) False) (Eq (cA (skS.0 4 a_2 a_3)) False))))
% 4.39/4.58 Clause #57 (by clausification #[56]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.39/4.58 Or (Eq (xsd_string (skS.0 2 a)) True)
% 4.39/4.58 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.39/4.58 (Or (Eq (xsd_integer (skS.0 2 a)) False) (Eq (cA (skS.0 4 a_2 a_3)) False)))
% 4.39/4.58 Clause #58 (by clausification #[47]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.39/4.58 Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.39/4.58 (Or (Eq (xsd_integer (skS.0 2 a_1)) True)
% 4.39/4.58 (Or (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3)) True) (Eq (xsd_integer (skS.0 2 a_1)) True)))
% 4.39/4.58 Clause #59 (by eliminate duplicate literals #[58]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.39/4.58 Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.39/4.58 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (rprop (skS.0 0 a_2) (skS.0 3 a_2 a_3)) True))
% 4.39/4.58 Clause #60 (by superposition #[59, 16]): ∀ (a a_1 a_2 : Iota),
% 4.39/4.58 Or (Eq (xsd_integer (skS.0 2 a)) True) (Or (Eq (rprop (skS.0 0 a_1) (skS.0 3 a_1 a_2)) True) (Eq True False))
% 4.39/4.58 Clause #68 (by clausification #[60]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (rprop (skS.0 0 a_1) (skS.0 3 a_1 a_2)) True)
% 4.43/4.61 Clause #71 (by superposition #[68, 6]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Or (Eq True False) (Eq (cA (skS.0 3 a_1 a_2)) True))
% 4.43/4.61 Clause #72 (by clausification #[71]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (cA (skS.0 3 a_1 a_2)) True)
% 4.43/4.61 Clause #77 (by forward demodulation #[44, 15]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.43/4.61 Or (Eq True False)
% 4.43/4.61 (Or (Eq (xsd_string (skS.0 2 a)) False)
% 4.43/4.61 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.43/4.61 (Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (cA (skS.0 3 a_2 a_3)) False))))
% 4.43/4.61 Clause #78 (by clausification #[77]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.43/4.61 Or (Eq (xsd_string (skS.0 2 a)) False)
% 4.43/4.61 (Or (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.43/4.61 (Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (cA (skS.0 3 a_2 a_3)) False)))
% 4.43/4.61 Clause #79 (by superposition #[78, 10]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.43/4.61 Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.43/4.61 (Or (Eq (xsd_integer (skS.0 2 a_1)) True)
% 4.43/4.61 (Or (Eq (cA (skS.0 3 a_2 a_3)) False) (Or (Eq False True) (Eq (xsd_integer (skS.0 2 a_1)) True))))
% 4.43/4.61 Clause #88 (by clausification #[79]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.43/4.61 Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.43/4.61 (Or (Eq (xsd_integer (skS.0 2 a_1)) True)
% 4.43/4.61 (Or (Eq (cA (skS.0 3 a_2 a_3)) False) (Eq (xsd_integer (skS.0 2 a_1)) True)))
% 4.43/4.61 Clause #89 (by eliminate duplicate literals #[88]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.43/4.61 Or (Eq (cowlNothing (skS.0 1 a)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cA (skS.0 3 a_2 a_3)) False))
% 4.43/4.61 Clause #90 (by superposition #[89, 72]): ∀ (a a_1 a_2 : Iota),
% 4.43/4.61 Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.43/4.61 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq (xsd_integer (skS.0 2 a_2)) True) (Eq False True)))
% 4.43/4.61 Clause #91 (by clausification #[90]): ∀ (a a_1 a_2 : Iota),
% 4.43/4.61 Or (Eq (cowlNothing (skS.0 1 a)) True)
% 4.43/4.61 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (xsd_integer (skS.0 2 a_2)) True))
% 4.43/4.61 Clause #95 (by equality factoring #[91]): ∀ (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))
% 4.43/4.61 Clause #96 (by clausification #[95]): ∀ (a a_1 : Iota),
% 4.43/4.61 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)))
% 4.43/4.61 Clause #98 (by clausification #[96]): ∀ (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))
% 4.43/4.61 Clause #99 (by clausification #[98]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True)
% 4.43/4.61 Clause #100 (by superposition #[99, 16]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq True False)
% 4.43/4.61 Clause #103 (by clausification #[100]): ∀ (a : Iota), Eq (xsd_integer (skS.0 2 a)) True
% 4.43/4.61 Clause #104 (by backward demodulation #[103, 55]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.43/4.61 Or (Eq (xsd_string (skS.0 2 a)) True)
% 4.43/4.61 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Or (Eq True False) (Eq (rprop (skS.0 0 a_2) (skS.0 4 a_2 a_3)) True)))
% 4.43/4.61 Clause #105 (by backward demodulation #[103, 57]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.43/4.61 Or (Eq (xsd_string (skS.0 2 a)) True)
% 4.43/4.61 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Or (Eq True False) (Eq (cA (skS.0 4 a_2 a_3)) False)))
% 4.43/4.61 Clause #108 (by clausification #[105]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.43/4.61 Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (cA (skS.0 4 a_2 a_3)) False))
% 4.43/4.61 Clause #109 (by clausification #[104]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.43/4.61 Or (Eq (xsd_string (skS.0 2 a)) True)
% 4.43/4.61 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (rprop (skS.0 0 a_2) (skS.0 4 a_2 a_3)) True))
% 4.43/4.61 Clause #111 (by superposition #[109, 16]): ∀ (a a_1 a_2 : Iota),
% 4.43/4.61 Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (rprop (skS.0 0 a_1) (skS.0 4 a_1 a_2)) True) (Eq True False))
% 4.43/4.61 Clause #113 (by clausification #[111]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq (rprop (skS.0 0 a_1) (skS.0 4 a_1 a_2)) True)
% 4.43/4.61 Clause #115 (by superposition #[113, 6]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq True False) (Eq (cA (skS.0 4 a_1 a_2)) True))
% 4.43/4.62 Clause #116 (by clausification #[115]): ∀ (a a_1 a_2 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq (cA (skS.0 4 a_1 a_2)) True)
% 4.43/4.62 Clause #117 (by superposition #[116, 11]): ∀ (a a_1 a_2 : Iota), Or (Eq (cA (skS.0 4 a a_1)) True) (Or (Eq True False) (Eq (xsd_integer (skS.0 2 a_2)) False))
% 4.43/4.62 Clause #120 (by clausification #[117]): ∀ (a a_1 a_2 : Iota), Or (Eq (cA (skS.0 4 a a_1)) True) (Eq (xsd_integer (skS.0 2 a_2)) False)
% 4.43/4.62 Clause #121 (by superposition #[120, 103]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 4 a a_1)) True) (Eq False True)
% 4.43/4.62 Clause #122 (by clausification #[121]): ∀ (a a_1 : Iota), Eq (cA (skS.0 4 a a_1)) True
% 4.43/4.62 Clause #123 (by superposition #[122, 108]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq True False))
% 4.43/4.62 Clause #124 (by clausification #[123]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq (cowlNothing (skS.0 1 a_1)) True)
% 4.43/4.62 Clause #126 (by superposition #[124, 16]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq True False)
% 4.43/4.62 Clause #127 (by clausification #[126]): ∀ (a : Iota), Eq (xsd_string (skS.0 2 a)) True
% 4.43/4.62 Clause #128 (by superposition #[127, 11]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 2 a)) False)
% 4.43/4.62 Clause #129 (by clausification #[128]): ∀ (a : Iota), Eq (xsd_integer (skS.0 2 a)) False
% 4.43/4.62 Clause #130 (by superposition #[129, 103]): Eq False True
% 4.43/4.62 Clause #132 (by clausification #[130]): False
% 4.43/4.62 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------