TSTP Solution File: KRS164+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KRS164+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n021.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 05:43:34 EDT 2023
% Result : Theorem 5.22s 5.42s
% Output : Proof 5.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : KRS164+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.11 % Command : duper %s
% 0.10/0.32 % Computer : n021.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Aug 28 01:52:28 EDT 2023
% 0.10/0.32 % CPUTime :
% 5.22/5.42 SZS status Theorem for theBenchmark.p
% 5.22/5.42 SZS output start Proof for theBenchmark.p
% 5.22/5.42 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True
% 5.22/5.42 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True
% 5.22/5.42 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Iff (cCar X) (cAutomobile X)) True
% 5.22/5.42 Clause #3 (by assumption #[]): Eq (cAutomobile iauto) True
% 5.22/5.42 Clause #5 (by assumption #[]): Eq (cCar icar) True
% 5.22/5.42 Clause #7 (by assumption #[]): Eq
% 5.22/5.42 (Not
% 5.22/5.42 (And
% 5.22/5.42 (And
% 5.22/5.42 (And
% 5.22/5.42 (And
% 5.22/5.42 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 5.22/5.42 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 5.22/5.42 (cCar iauto))
% 5.22/5.42 (cowlThing iauto))
% 5.22/5.42 (cAutomobile icar))
% 5.22/5.42 (cowlThing icar)))
% 5.22/5.42 True
% 5.22/5.42 Clause #8 (by clausification #[2]): ∀ (a : Iota), Eq (Iff (cCar a) (cAutomobile a)) True
% 5.22/5.42 Clause #9 (by clausification #[8]): ∀ (a : Iota), Or (Eq (cCar a) True) (Eq (cAutomobile a) False)
% 5.22/5.42 Clause #10 (by clausification #[8]): ∀ (a : Iota), Or (Eq (cCar a) False) (Eq (cAutomobile a) True)
% 5.22/5.42 Clause #11 (by superposition #[9, 3]): Or (Eq (cCar iauto) True) (Eq False True)
% 5.22/5.42 Clause #12 (by clausification #[0]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True
% 5.22/5.42 Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True
% 5.22/5.42 Clause #14 (by clausification #[12]): ∀ (a : Iota), Eq (cowlThing a) True
% 5.22/5.42 Clause #15 (by clausification #[13]): ∀ (a : Iota), Eq (cowlNothing a) False
% 5.22/5.42 Clause #16 (by clausification #[11]): Eq (cCar iauto) True
% 5.22/5.42 Clause #17 (by superposition #[10, 5]): Or (Eq (cAutomobile icar) True) (Eq False True)
% 5.22/5.42 Clause #19 (by clausification #[17]): Eq (cAutomobile icar) True
% 5.22/5.42 Clause #21 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True
% 5.22/5.42 Clause #22 (by clausification #[21]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False)
% 5.22/5.42 Clause #23 (by clausification #[21]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True)
% 5.22/5.42 Clause #24 (by clausification #[22]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True)
% 5.22/5.42 Clause #25 (by clausification #[23]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False)
% 5.22/5.42 Clause #28 (by clausification #[7]): Eq
% 5.22/5.42 (And
% 5.22/5.42 (And
% 5.22/5.42 (And
% 5.22/5.42 (And
% 5.22/5.42 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 5.22/5.42 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 5.22/5.42 (cCar iauto))
% 5.22/5.42 (cowlThing iauto))
% 5.22/5.42 (cAutomobile icar))
% 5.22/5.42 (cowlThing icar))
% 5.22/5.42 False
% 5.22/5.42 Clause #29 (by clausification #[28]): Or
% 5.22/5.42 (Eq
% 5.22/5.42 (And
% 5.22/5.42 (And
% 5.22/5.42 (And
% 5.22/5.42 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 5.22/5.42 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 5.22/5.42 (cCar iauto))
% 5.22/5.42 (cowlThing iauto))
% 5.22/5.42 (cAutomobile icar))
% 5.22/5.42 False)
% 5.22/5.42 (Eq (cowlThing icar) False)
% 5.22/5.42 Clause #30 (by clausification #[29]): Or (Eq (cowlThing icar) False)
% 5.22/5.42 (Or
% 5.22/5.42 (Eq
% 5.22/5.42 (And
% 5.22/5.42 (And
% 5.22/5.42 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 5.22/5.42 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 5.22/5.42 (cCar iauto))
% 5.22/5.42 (cowlThing iauto))
% 5.22/5.42 False)
% 5.22/5.42 (Eq (cAutomobile icar) False))
% 5.22/5.42 Clause #31 (by clausification #[30]): Or (Eq (cowlThing icar) False)
% 5.22/5.42 (Or (Eq (cAutomobile icar) False)
% 5.22/5.42 (Or
% 5.22/5.42 (Eq
% 5.22/5.42 (And
% 5.22/5.42 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 5.22/5.42 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 5.22/5.42 (cCar iauto))
% 5.22/5.42 False)
% 5.22/5.42 (Eq (cowlThing iauto) False)))
% 5.22/5.42 Clause #32 (by clausification #[31]): Or (Eq (cowlThing icar) False)
% 5.22/5.42 (Or (Eq (cAutomobile icar) False)
% 5.22/5.42 (Or (Eq (cowlThing iauto) False)
% 5.22/5.42 (Or
% 5.22/5.42 (Eq
% 5.22/5.42 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 5.22/5.42 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 5.22/5.42 False)
% 5.22/5.42 (Eq (cCar iauto) False))))
% 5.22/5.42 Clause #33 (by clausification #[32]): Or (Eq (cowlThing icar) False)
% 5.22/5.47 (Or (Eq (cAutomobile icar) False)
% 5.22/5.47 (Or (Eq (cowlThing iauto) False)
% 5.22/5.47 (Or (Eq (cCar iauto) False)
% 5.22/5.47 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False)
% 5.22/5.47 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)))))
% 5.22/5.47 Clause #34 (by clausification #[33]): ∀ (a : Iota),
% 5.22/5.47 Or (Eq (cowlThing icar) False)
% 5.22/5.47 (Or (Eq (cAutomobile icar) False)
% 5.22/5.47 (Or (Eq (cowlThing iauto) False)
% 5.22/5.47 (Or (Eq (cCar iauto) False)
% 5.22/5.47 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)
% 5.22/5.47 (Eq (Not (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a))))) True)))))
% 5.22/5.47 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota),
% 5.22/5.47 Or (Eq (cowlThing icar) False)
% 5.22/5.47 (Or (Eq (cAutomobile icar) False)
% 5.22/5.47 (Or (Eq (cowlThing iauto) False)
% 5.22/5.47 (Or (Eq (cCar iauto) False)
% 5.22/5.47 (Or (Eq (Not (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a))))) True)
% 5.22/5.47 (Eq (Not (Iff (xsd_string (skS.0 1 a_1)) (Not (xsd_integer (skS.0 1 a_1))))) True)))))
% 5.22/5.48 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota),
% 5.22/5.48 Or (Eq (cowlThing icar) False)
% 5.22/5.48 (Or (Eq (cAutomobile icar) False)
% 5.22/5.48 (Or (Eq (cowlThing iauto) False)
% 5.22/5.48 (Or (Eq (cCar iauto) False)
% 5.22/5.48 (Or (Eq (Not (Iff (xsd_string (skS.0 1 a)) (Not (xsd_integer (skS.0 1 a))))) True)
% 5.22/5.48 (Eq (And (cowlThing (skS.0 0 a_1)) (Not (cowlNothing (skS.0 0 a_1)))) False)))))
% 5.22/5.48 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota),
% 5.22/5.48 Or (Eq (cowlThing icar) False)
% 5.22/5.48 (Or (Eq (cAutomobile icar) False)
% 5.22/5.48 (Or (Eq (cowlThing iauto) False)
% 5.22/5.48 (Or (Eq (cCar iauto) False)
% 5.22/5.48 (Or (Eq (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a)))) False)
% 5.22/5.48 (Eq (Iff (xsd_string (skS.0 1 a_1)) (Not (xsd_integer (skS.0 1 a_1)))) False)))))
% 5.22/5.48 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota),
% 5.22/5.48 Or (Eq (cowlThing icar) False)
% 5.22/5.48 (Or (Eq (cAutomobile icar) False)
% 5.22/5.48 (Or (Eq (cowlThing iauto) False)
% 5.22/5.48 (Or (Eq (cCar iauto) False)
% 5.22/5.48 (Or (Eq (Iff (xsd_string (skS.0 1 a)) (Not (xsd_integer (skS.0 1 a)))) False)
% 5.22/5.48 (Or (Eq (cowlThing (skS.0 0 a_1)) False) (Eq (Not (cowlNothing (skS.0 0 a_1))) False))))))
% 5.22/5.48 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota),
% 5.22/5.48 Or (Eq (cowlThing icar) False)
% 5.22/5.48 (Or (Eq (cAutomobile icar) False)
% 5.22/5.48 (Or (Eq (cowlThing iauto) False)
% 5.22/5.48 (Or (Eq (cCar iauto) False)
% 5.22/5.48 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 5.22/5.48 (Or (Eq (Not (cowlNothing (skS.0 0 a))) False)
% 5.22/5.48 (Or (Eq (xsd_string (skS.0 1 a_1)) False) (Eq (Not (xsd_integer (skS.0 1 a_1))) False)))))))
% 5.22/5.48 Clause #40 (by clausification #[38]): ∀ (a a_1 : Iota),
% 5.22/5.48 Or (Eq (cowlThing icar) False)
% 5.22/5.48 (Or (Eq (cAutomobile icar) False)
% 5.22/5.48 (Or (Eq (cowlThing iauto) False)
% 5.22/5.48 (Or (Eq (cCar iauto) False)
% 5.22/5.48 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 5.22/5.48 (Or (Eq (Not (cowlNothing (skS.0 0 a))) False)
% 5.22/5.48 (Or (Eq (xsd_string (skS.0 1 a_1)) True) (Eq (Not (xsd_integer (skS.0 1 a_1))) True)))))))
% 5.22/5.48 Clause #41 (by clausification #[39]): ∀ (a a_1 : Iota),
% 5.22/5.48 Or (Eq (cowlThing icar) False)
% 5.22/5.48 (Or (Eq (cAutomobile icar) False)
% 5.22/5.48 (Or (Eq (cowlThing iauto) False)
% 5.22/5.48 (Or (Eq (cCar iauto) False)
% 5.22/5.48 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 5.22/5.48 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 5.22/5.48 (Or (Eq (Not (xsd_integer (skS.0 1 a_1))) False) (Eq (cowlNothing (skS.0 0 a)) True)))))))
% 5.22/5.48 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota),
% 5.22/5.48 Or (Eq (cowlThing icar) False)
% 5.22/5.48 (Or (Eq (cAutomobile icar) False)
% 5.22/5.48 (Or (Eq (cowlThing iauto) False)
% 5.22/5.48 (Or (Eq (cCar iauto) False)
% 5.22/5.48 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 5.22/5.48 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 5.22/5.48 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))))))
% 5.22/5.48 Clause #43 (by forward demodulation #[42, 14]): ∀ (a a_1 : Iota),
% 5.22/5.48 Or (Eq True False)
% 5.22/5.48 (Or (Eq (cAutomobile icar) False)
% 5.22/5.48 (Or (Eq (cowlThing iauto) False)
% 5.22/5.48 (Or (Eq (cCar iauto) False)
% 5.22/5.48 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 5.29/5.53 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 5.29/5.53 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))))))
% 5.29/5.53 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota),
% 5.29/5.53 Or (Eq (cAutomobile icar) False)
% 5.29/5.53 (Or (Eq (cowlThing iauto) False)
% 5.29/5.53 (Or (Eq (cCar iauto) False)
% 5.29/5.53 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 5.29/5.53 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 5.29/5.53 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))))
% 5.29/5.53 Clause #45 (by forward demodulation #[44, 19]): ∀ (a a_1 : Iota),
% 5.29/5.53 Or (Eq True False)
% 5.29/5.53 (Or (Eq (cowlThing iauto) False)
% 5.29/5.53 (Or (Eq (cCar iauto) False)
% 5.29/5.53 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 5.29/5.53 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 5.29/5.53 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))))
% 5.29/5.53 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota),
% 5.29/5.53 Or (Eq (cowlThing iauto) False)
% 5.29/5.53 (Or (Eq (cCar iauto) False)
% 5.29/5.53 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 5.29/5.53 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 5.29/5.53 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))))
% 5.29/5.53 Clause #47 (by forward demodulation #[46, 14]): ∀ (a a_1 : Iota),
% 5.29/5.53 Or (Eq True False)
% 5.29/5.53 (Or (Eq (cCar iauto) False)
% 5.29/5.53 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 5.29/5.53 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 5.29/5.53 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))))
% 5.29/5.53 Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota),
% 5.29/5.53 Or (Eq (cCar iauto) False)
% 5.29/5.53 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 5.29/5.53 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 5.29/5.53 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))
% 5.29/5.53 Clause #49 (by forward demodulation #[48, 16]): ∀ (a a_1 : Iota),
% 5.29/5.53 Or (Eq True False)
% 5.29/5.53 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 5.29/5.53 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 5.29/5.53 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))
% 5.29/5.53 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota),
% 5.29/5.53 Or (Eq (cowlThing (skS.0 0 a)) False)
% 5.29/5.53 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 5.29/5.53 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))
% 5.29/5.53 Clause #51 (by forward demodulation #[50, 14]): ∀ (a a_1 : Iota),
% 5.29/5.53 Or (Eq True False)
% 5.29/5.53 (Or (Eq (xsd_string (skS.0 1 a)) False)
% 5.29/5.53 (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a)) True)))
% 5.29/5.53 Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota),
% 5.29/5.53 Or (Eq (xsd_string (skS.0 1 a)) False) (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a)) True))
% 5.29/5.53 Clause #53 (by superposition #[52, 24]): ∀ (a a_1 : Iota),
% 5.29/5.53 Or (Eq (cowlNothing (skS.0 0 a)) True)
% 5.29/5.53 (Or (Eq (xsd_integer (skS.0 1 a_1)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 1 a_1)) True)))
% 5.29/5.53 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota),
% 5.29/5.53 Or (Eq (cowlNothing (skS.0 0 a)) True)
% 5.29/5.53 (Or (Eq (xsd_integer (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))
% 5.29/5.53 Clause #55 (by eliminate duplicate literals #[54]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)
% 5.29/5.53 Clause #56 (by superposition #[55, 15]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 1 a)) True) (Eq True False)
% 5.29/5.53 Clause #57 (by clausification #[40]): ∀ (a a_1 : Iota),
% 5.29/5.53 Or (Eq (cowlThing icar) False)
% 5.29/5.53 (Or (Eq (cAutomobile icar) False)
% 5.29/5.53 (Or (Eq (cowlThing iauto) False)
% 5.29/5.53 (Or (Eq (cCar iauto) False)
% 5.29/5.53 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 5.29/5.53 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 5.29/5.53 (Or (Eq (Not (xsd_integer (skS.0 1 a_1))) True) (Eq (cowlNothing (skS.0 0 a)) True)))))))
% 5.29/5.53 Clause #58 (by clausification #[57]): ∀ (a a_1 : Iota),
% 5.29/5.53 Or (Eq (cowlThing icar) False)
% 5.29/5.53 (Or (Eq (cAutomobile icar) False)
% 5.29/5.53 (Or (Eq (cowlThing iauto) False)
% 5.29/5.53 (Or (Eq (cCar iauto) False)
% 5.29/5.53 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 5.29/5.53 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 5.29/5.53 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))))))
% 5.37/5.57 Clause #59 (by forward demodulation #[58, 14]): ∀ (a a_1 : Iota),
% 5.37/5.57 Or (Eq True False)
% 5.37/5.57 (Or (Eq (cAutomobile icar) False)
% 5.37/5.57 (Or (Eq (cowlThing iauto) False)
% 5.37/5.57 (Or (Eq (cCar iauto) False)
% 5.37/5.57 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 5.37/5.57 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 5.37/5.57 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))))))
% 5.37/5.57 Clause #60 (by clausification #[59]): ∀ (a a_1 : Iota),
% 5.37/5.57 Or (Eq (cAutomobile icar) False)
% 5.37/5.57 (Or (Eq (cowlThing iauto) False)
% 5.37/5.57 (Or (Eq (cCar iauto) False)
% 5.37/5.57 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 5.37/5.57 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 5.37/5.57 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))))
% 5.37/5.57 Clause #61 (by forward demodulation #[60, 19]): ∀ (a a_1 : Iota),
% 5.37/5.57 Or (Eq True False)
% 5.37/5.57 (Or (Eq (cowlThing iauto) False)
% 5.37/5.57 (Or (Eq (cCar iauto) False)
% 5.37/5.57 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 5.37/5.57 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 5.37/5.57 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))))
% 5.37/5.57 Clause #62 (by clausification #[61]): ∀ (a a_1 : Iota),
% 5.37/5.57 Or (Eq (cowlThing iauto) False)
% 5.37/5.57 (Or (Eq (cCar iauto) False)
% 5.37/5.57 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 5.37/5.57 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 5.37/5.57 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))))
% 5.37/5.57 Clause #63 (by forward demodulation #[62, 14]): ∀ (a a_1 : Iota),
% 5.37/5.57 Or (Eq True False)
% 5.37/5.57 (Or (Eq (cCar iauto) False)
% 5.37/5.57 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 5.37/5.57 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 5.37/5.57 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))))
% 5.37/5.57 Clause #64 (by clausification #[63]): ∀ (a a_1 : Iota),
% 5.37/5.57 Or (Eq (cCar iauto) False)
% 5.37/5.57 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 5.37/5.57 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 5.37/5.57 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))
% 5.37/5.57 Clause #65 (by forward demodulation #[64, 16]): ∀ (a a_1 : Iota),
% 5.37/5.57 Or (Eq True False)
% 5.37/5.57 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 5.37/5.57 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 5.37/5.57 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))
% 5.37/5.57 Clause #66 (by clausification #[65]): ∀ (a a_1 : Iota),
% 5.37/5.57 Or (Eq (cowlThing (skS.0 0 a)) False)
% 5.37/5.57 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 5.37/5.57 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))
% 5.37/5.57 Clause #67 (by forward demodulation #[66, 14]): ∀ (a a_1 : Iota),
% 5.37/5.57 Or (Eq True False)
% 5.37/5.57 (Or (Eq (xsd_string (skS.0 1 a)) True)
% 5.37/5.57 (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a)) False)))
% 5.37/5.57 Clause #68 (by clausification #[67]): ∀ (a a_1 : Iota),
% 5.37/5.57 Or (Eq (xsd_string (skS.0 1 a)) True) (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a)) False))
% 5.37/5.57 Clause #70 (by clausification #[56]): ∀ (a : Iota), Eq (xsd_integer (skS.0 1 a)) True
% 5.37/5.57 Clause #71 (by backward demodulation #[70, 68]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 1 a)) True) (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq True False))
% 5.37/5.57 Clause #72 (by clausification #[71]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 1 a)) True) (Eq (cowlNothing (skS.0 0 a_1)) True)
% 5.37/5.57 Clause #74 (by superposition #[72, 15]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 1 a)) True) (Eq True False)
% 5.37/5.57 Clause #75 (by clausification #[74]): ∀ (a : Iota), Eq (xsd_string (skS.0 1 a)) True
% 5.37/5.57 Clause #76 (by superposition #[75, 25]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 1 a)) False)
% 5.37/5.57 Clause #77 (by clausification #[76]): ∀ (a : Iota), Eq (xsd_integer (skS.0 1 a)) False
% 5.37/5.57 Clause #78 (by superposition #[77, 70]): Eq False True
% 5.37/5.57 Clause #79 (by clausification #[78]): False
% 5.37/5.57 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------