TSTP Solution File: KRS166+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KRS166+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n003.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 05:43:35 EDT 2023
% Result : Theorem 3.98s 4.20s
% Output : Proof 4.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS166+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 02:25:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.98/4.20 SZS status Theorem for theBenchmark.p
% 3.98/4.20 SZS output start Proof for theBenchmark.p
% 3.98/4.20 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True
% 3.98/4.20 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True
% 3.98/4.20 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), cAutomobile X → cCar X) True
% 3.98/4.20 Clause #3 (by assumption #[]): Eq (∀ (X : Iota), cCar X → cAutomobile X) True
% 3.98/4.20 Clause #4 (by assumption #[]): Eq
% 3.98/4.20 (Not
% 3.98/4.20 (And
% 3.98/4.20 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.98/4.20 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.98/4.20 (∀ (X : Iota), Iff (cCar X) (cAutomobile X))))
% 3.98/4.20 True
% 3.98/4.20 Clause #5 (by clausification #[3]): ∀ (a : Iota), Eq (cCar a → cAutomobile a) True
% 3.98/4.20 Clause #6 (by clausification #[5]): ∀ (a : Iota), Or (Eq (cCar a) False) (Eq (cAutomobile a) True)
% 3.98/4.20 Clause #7 (by clausification #[2]): ∀ (a : Iota), Eq (cAutomobile a → cCar a) True
% 3.98/4.20 Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (cAutomobile a) False) (Eq (cCar a) True)
% 3.98/4.20 Clause #9 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True
% 3.98/4.20 Clause #10 (by clausification #[9]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False)
% 3.98/4.20 Clause #11 (by clausification #[9]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True)
% 3.98/4.20 Clause #12 (by clausification #[10]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True)
% 3.98/4.20 Clause #13 (by clausification #[11]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False)
% 3.98/4.20 Clause #15 (by clausification #[0]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True
% 3.98/4.20 Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True
% 3.98/4.20 Clause #17 (by clausification #[15]): ∀ (a : Iota), Eq (cowlThing a) True
% 3.98/4.20 Clause #18 (by clausification #[16]): ∀ (a : Iota), Eq (cowlNothing a) False
% 3.98/4.20 Clause #19 (by clausification #[4]): Eq
% 3.98/4.20 (And
% 3.98/4.20 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.98/4.20 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.98/4.20 (∀ (X : Iota), Iff (cCar X) (cAutomobile X)))
% 3.98/4.20 False
% 3.98/4.20 Clause #20 (by clausification #[19]): Or
% 3.98/4.20 (Eq
% 3.98/4.20 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.98/4.20 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.98/4.20 False)
% 3.98/4.20 (Eq (∀ (X : Iota), Iff (cCar X) (cAutomobile X)) False)
% 3.98/4.20 Clause #21 (by clausification #[20]): Or (Eq (∀ (X : Iota), Iff (cCar X) (cAutomobile X)) False)
% 3.98/4.20 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False)
% 3.98/4.20 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False))
% 3.98/4.20 Clause #22 (by clausification #[21]): ∀ (a : Iota),
% 3.98/4.20 Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False)
% 3.98/4.20 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)
% 3.98/4.20 (Eq (Not (Iff (cCar (skS.0 0 a)) (cAutomobile (skS.0 0 a)))) True))
% 3.98/4.20 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota),
% 3.98/4.20 Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)
% 3.98/4.20 (Or (Eq (Not (Iff (cCar (skS.0 0 a)) (cAutomobile (skS.0 0 a)))) True)
% 3.98/4.20 (Eq (Not (And (cowlThing (skS.0 1 a_1)) (Not (cowlNothing (skS.0 1 a_1))))) True))
% 3.98/4.20 Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.20 Or (Eq (Not (Iff (cCar (skS.0 0 a)) (cAutomobile (skS.0 0 a)))) True)
% 3.98/4.20 (Or (Eq (Not (And (cowlThing (skS.0 1 a_1)) (Not (cowlNothing (skS.0 1 a_1))))) True)
% 3.98/4.20 (Eq (Not (Iff (xsd_string (skS.0 2 a_2)) (Not (xsd_integer (skS.0 2 a_2))))) True))
% 3.98/4.20 Clause #25 (by clausification #[24]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.20 Or (Eq (Not (And (cowlThing (skS.0 1 a)) (Not (cowlNothing (skS.0 1 a))))) True)
% 3.98/4.20 (Or (Eq (Not (Iff (xsd_string (skS.0 2 a_1)) (Not (xsd_integer (skS.0 2 a_1))))) True)
% 3.98/4.20 (Eq (Iff (cCar (skS.0 0 a_2)) (cAutomobile (skS.0 0 a_2))) False))
% 3.98/4.20 Clause #26 (by clausification #[25]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.20 Or (Eq (Not (Iff (xsd_string (skS.0 2 a)) (Not (xsd_integer (skS.0 2 a))))) True)
% 3.98/4.20 (Or (Eq (Iff (cCar (skS.0 0 a_1)) (cAutomobile (skS.0 0 a_1))) False)
% 3.98/4.23 (Eq (And (cowlThing (skS.0 1 a_2)) (Not (cowlNothing (skS.0 1 a_2)))) False))
% 3.98/4.23 Clause #27 (by clausification #[26]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.23 Or (Eq (Iff (cCar (skS.0 0 a)) (cAutomobile (skS.0 0 a))) False)
% 3.98/4.23 (Or (Eq (And (cowlThing (skS.0 1 a_1)) (Not (cowlNothing (skS.0 1 a_1)))) False)
% 3.98/4.23 (Eq (Iff (xsd_string (skS.0 2 a_2)) (Not (xsd_integer (skS.0 2 a_2)))) False))
% 3.98/4.23 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.23 Or (Eq (And (cowlThing (skS.0 1 a)) (Not (cowlNothing (skS.0 1 a)))) False)
% 3.98/4.23 (Or (Eq (Iff (xsd_string (skS.0 2 a_1)) (Not (xsd_integer (skS.0 2 a_1)))) False)
% 3.98/4.23 (Or (Eq (cCar (skS.0 0 a_2)) False) (Eq (cAutomobile (skS.0 0 a_2)) False)))
% 3.98/4.23 Clause #29 (by clausification #[27]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.23 Or (Eq (And (cowlThing (skS.0 1 a)) (Not (cowlNothing (skS.0 1 a)))) False)
% 3.98/4.23 (Or (Eq (Iff (xsd_string (skS.0 2 a_1)) (Not (xsd_integer (skS.0 2 a_1)))) False)
% 3.98/4.23 (Or (Eq (cCar (skS.0 0 a_2)) True) (Eq (cAutomobile (skS.0 0 a_2)) True)))
% 3.98/4.23 Clause #30 (by clausification #[28]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.23 Or (Eq (Iff (xsd_string (skS.0 2 a)) (Not (xsd_integer (skS.0 2 a)))) False)
% 3.98/4.23 (Or (Eq (cCar (skS.0 0 a_1)) False)
% 3.98/4.23 (Or (Eq (cAutomobile (skS.0 0 a_1)) False)
% 3.98/4.23 (Or (Eq (cowlThing (skS.0 1 a_2)) False) (Eq (Not (cowlNothing (skS.0 1 a_2))) False))))
% 3.98/4.23 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.23 Or (Eq (cCar (skS.0 0 a)) False)
% 3.98/4.23 (Or (Eq (cAutomobile (skS.0 0 a)) False)
% 3.98/4.23 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 3.98/4.23 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 3.98/4.23 (Or (Eq (xsd_string (skS.0 2 a_2)) False) (Eq (Not (xsd_integer (skS.0 2 a_2))) False)))))
% 3.98/4.23 Clause #32 (by clausification #[30]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.23 Or (Eq (cCar (skS.0 0 a)) False)
% 3.98/4.23 (Or (Eq (cAutomobile (skS.0 0 a)) False)
% 3.98/4.23 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 3.98/4.23 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 3.98/4.23 (Or (Eq (xsd_string (skS.0 2 a_2)) True) (Eq (Not (xsd_integer (skS.0 2 a_2))) True)))))
% 3.98/4.23 Clause #33 (by clausification #[31]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.23 Or (Eq (cCar (skS.0 0 a)) False)
% 3.98/4.23 (Or (Eq (cAutomobile (skS.0 0 a)) False)
% 3.98/4.23 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 3.98/4.23 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 3.98/4.23 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) False) (Eq (cowlNothing (skS.0 1 a_1)) True)))))
% 3.98/4.23 Clause #34 (by clausification #[33]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.23 Or (Eq (cCar (skS.0 0 a)) False)
% 3.98/4.23 (Or (Eq (cAutomobile (skS.0 0 a)) False)
% 3.98/4.23 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 3.98/4.23 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 3.98/4.23 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 2 a_2)) True)))))
% 3.98/4.23 Clause #35 (by forward demodulation #[34, 18]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.23 Or (Eq (cCar (skS.0 0 a)) False)
% 3.98/4.23 (Or (Eq (cAutomobile (skS.0 0 a)) False)
% 3.98/4.23 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 3.98/4.23 (Or (Eq (xsd_string (skS.0 2 a_2)) False) (Or (Eq False True) (Eq (xsd_integer (skS.0 2 a_2)) True)))))
% 3.98/4.23 Clause #36 (by clausification #[35]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.23 Or (Eq (cCar (skS.0 0 a)) False)
% 3.98/4.23 (Or (Eq (cAutomobile (skS.0 0 a)) False)
% 3.98/4.23 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 3.98/4.23 (Or (Eq (xsd_string (skS.0 2 a_2)) False) (Eq (xsd_integer (skS.0 2 a_2)) True))))
% 3.98/4.23 Clause #38 (by clausification #[32]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.23 Or (Eq (cCar (skS.0 0 a)) False)
% 3.98/4.23 (Or (Eq (cAutomobile (skS.0 0 a)) False)
% 3.98/4.23 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 3.98/4.23 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 3.98/4.23 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) True) (Eq (cowlNothing (skS.0 1 a_1)) True)))))
% 3.98/4.23 Clause #39 (by clausification #[38]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.23 Or (Eq (cCar (skS.0 0 a)) False)
% 3.98/4.23 (Or (Eq (cAutomobile (skS.0 0 a)) False)
% 3.98/4.23 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 3.98/4.23 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 3.98/4.23 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 2 a_2)) False)))))
% 3.98/4.23 Clause #40 (by forward demodulation #[39, 18]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.23 Or (Eq (cCar (skS.0 0 a)) False)
% 3.98/4.23 (Or (Eq (cAutomobile (skS.0 0 a)) False)
% 3.98/4.25 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 3.98/4.25 (Or (Eq (xsd_string (skS.0 2 a_2)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 2 a_2)) False)))))
% 3.98/4.25 Clause #41 (by clausification #[40]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.25 Or (Eq (cCar (skS.0 0 a)) False)
% 3.98/4.25 (Or (Eq (cAutomobile (skS.0 0 a)) False)
% 3.98/4.25 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 3.98/4.25 (Or (Eq (xsd_string (skS.0 2 a_2)) True) (Eq (xsd_integer (skS.0 2 a_2)) False))))
% 3.98/4.25 Clause #42 (by clausification #[29]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.25 Or (Eq (Iff (xsd_string (skS.0 2 a)) (Not (xsd_integer (skS.0 2 a)))) False)
% 3.98/4.25 (Or (Eq (cCar (skS.0 0 a_1)) True)
% 3.98/4.25 (Or (Eq (cAutomobile (skS.0 0 a_1)) True)
% 3.98/4.25 (Or (Eq (cowlThing (skS.0 1 a_2)) False) (Eq (Not (cowlNothing (skS.0 1 a_2))) False))))
% 3.98/4.25 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.25 Or (Eq (cCar (skS.0 0 a)) True)
% 3.98/4.25 (Or (Eq (cAutomobile (skS.0 0 a)) True)
% 3.98/4.25 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 3.98/4.25 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 3.98/4.25 (Or (Eq (xsd_string (skS.0 2 a_2)) False) (Eq (Not (xsd_integer (skS.0 2 a_2))) False)))))
% 3.98/4.25 Clause #44 (by clausification #[42]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.25 Or (Eq (cCar (skS.0 0 a)) True)
% 3.98/4.25 (Or (Eq (cAutomobile (skS.0 0 a)) True)
% 3.98/4.25 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 3.98/4.25 (Or (Eq (Not (cowlNothing (skS.0 1 a_1))) False)
% 3.98/4.25 (Or (Eq (xsd_string (skS.0 2 a_2)) True) (Eq (Not (xsd_integer (skS.0 2 a_2))) True)))))
% 3.98/4.25 Clause #45 (by clausification #[43]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.25 Or (Eq (cCar (skS.0 0 a)) True)
% 3.98/4.25 (Or (Eq (cAutomobile (skS.0 0 a)) True)
% 3.98/4.25 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 3.98/4.25 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 3.98/4.25 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) False) (Eq (cowlNothing (skS.0 1 a_1)) True)))))
% 3.98/4.25 Clause #46 (by clausification #[45]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.25 Or (Eq (cCar (skS.0 0 a)) True)
% 3.98/4.25 (Or (Eq (cAutomobile (skS.0 0 a)) True)
% 3.98/4.25 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 3.98/4.25 (Or (Eq (xsd_string (skS.0 2 a_2)) False)
% 3.98/4.25 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 2 a_2)) True)))))
% 3.98/4.25 Clause #47 (by forward demodulation #[46, 18]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.25 Or (Eq (cCar (skS.0 0 a)) True)
% 3.98/4.25 (Or (Eq (cAutomobile (skS.0 0 a)) True)
% 3.98/4.25 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 3.98/4.25 (Or (Eq (xsd_string (skS.0 2 a_2)) False) (Or (Eq False True) (Eq (xsd_integer (skS.0 2 a_2)) True)))))
% 3.98/4.25 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.25 Or (Eq (cCar (skS.0 0 a)) True)
% 3.98/4.25 (Or (Eq (cAutomobile (skS.0 0 a)) True)
% 3.98/4.25 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 3.98/4.25 (Or (Eq (xsd_string (skS.0 2 a_2)) False) (Eq (xsd_integer (skS.0 2 a_2)) True))))
% 3.98/4.25 Clause #49 (by superposition #[48, 17]): ∀ (a a_1 : Iota),
% 3.98/4.25 Or (Eq (cCar (skS.0 0 a)) True)
% 3.98/4.25 (Or (Eq (cAutomobile (skS.0 0 a)) True)
% 3.98/4.25 (Or (Eq (xsd_string (skS.0 2 a_1)) False) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq False True))))
% 3.98/4.25 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota),
% 3.98/4.25 Or (Eq (cCar (skS.0 0 a)) True)
% 3.98/4.25 (Or (Eq (cAutomobile (skS.0 0 a)) True)
% 3.98/4.25 (Or (Eq (xsd_string (skS.0 2 a_1)) False) (Eq (xsd_integer (skS.0 2 a_1)) True)))
% 3.98/4.25 Clause #51 (by superposition #[50, 12]): ∀ (a a_1 : Iota),
% 3.98/4.25 Or (Eq (cCar (skS.0 0 a)) True)
% 3.98/4.25 (Or (Eq (cAutomobile (skS.0 0 a)) True)
% 3.98/4.25 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 2 a_1)) True))))
% 3.98/4.25 Clause #52 (by clausification #[44]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.25 Or (Eq (cCar (skS.0 0 a)) True)
% 3.98/4.25 (Or (Eq (cAutomobile (skS.0 0 a)) True)
% 3.98/4.25 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 3.98/4.25 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 3.98/4.25 (Or (Eq (Not (xsd_integer (skS.0 2 a_2))) True) (Eq (cowlNothing (skS.0 1 a_1)) True)))))
% 3.98/4.25 Clause #53 (by clausification #[52]): ∀ (a a_1 a_2 : Iota),
% 3.98/4.25 Or (Eq (cCar (skS.0 0 a)) True)
% 3.98/4.25 (Or (Eq (cAutomobile (skS.0 0 a)) True)
% 3.98/4.25 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 3.98/4.25 (Or (Eq (xsd_string (skS.0 2 a_2)) True)
% 3.98/4.25 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 2 a_2)) False)))))
% 4.11/4.28 Clause #54 (by forward demodulation #[53, 18]): ∀ (a a_1 a_2 : Iota),
% 4.11/4.28 Or (Eq (cCar (skS.0 0 a)) True)
% 4.11/4.28 (Or (Eq (cAutomobile (skS.0 0 a)) True)
% 4.11/4.28 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.11/4.28 (Or (Eq (xsd_string (skS.0 2 a_2)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 2 a_2)) False)))))
% 4.11/4.28 Clause #55 (by clausification #[54]): ∀ (a a_1 a_2 : Iota),
% 4.11/4.28 Or (Eq (cCar (skS.0 0 a)) True)
% 4.11/4.28 (Or (Eq (cAutomobile (skS.0 0 a)) True)
% 4.11/4.28 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.11/4.28 (Or (Eq (xsd_string (skS.0 2 a_2)) True) (Eq (xsd_integer (skS.0 2 a_2)) False))))
% 4.11/4.28 Clause #56 (by superposition #[55, 17]): ∀ (a a_1 : Iota),
% 4.11/4.28 Or (Eq (cCar (skS.0 0 a)) True)
% 4.11/4.28 (Or (Eq (cAutomobile (skS.0 0 a)) True)
% 4.11/4.28 (Or (Eq (xsd_string (skS.0 2 a_1)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) False) (Eq False True))))
% 4.11/4.28 Clause #57 (by clausification #[56]): ∀ (a a_1 : Iota),
% 4.11/4.28 Or (Eq (cCar (skS.0 0 a)) True)
% 4.11/4.28 (Or (Eq (cAutomobile (skS.0 0 a)) True)
% 4.11/4.28 (Or (Eq (xsd_string (skS.0 2 a_1)) True) (Eq (xsd_integer (skS.0 2 a_1)) False)))
% 4.11/4.28 Clause #58 (by clausification #[51]): ∀ (a a_1 : Iota),
% 4.11/4.28 Or (Eq (cCar (skS.0 0 a)) True)
% 4.11/4.28 (Or (Eq (cAutomobile (skS.0 0 a)) True)
% 4.11/4.28 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (xsd_integer (skS.0 2 a_1)) True)))
% 4.11/4.28 Clause #59 (by eliminate duplicate literals #[58]): ∀ (a a_1 : Iota),
% 4.11/4.28 Or (Eq (cCar (skS.0 0 a)) True) (Or (Eq (cAutomobile (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True))
% 4.11/4.28 Clause #60 (by superposition #[59, 8]): ∀ (a a_1 : Iota),
% 4.11/4.28 Or (Eq (cCar (skS.0 0 a)) True)
% 4.11/4.28 (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Or (Eq True False) (Eq (cCar (skS.0 0 a)) True)))
% 4.11/4.28 Clause #62 (by clausification #[60]): ∀ (a a_1 : Iota),
% 4.11/4.28 Or (Eq (cCar (skS.0 0 a)) True) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq (cCar (skS.0 0 a)) True))
% 4.11/4.28 Clause #63 (by eliminate duplicate literals #[62]): ∀ (a a_1 : Iota), Or (Eq (cCar (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True)
% 4.11/4.28 Clause #66 (by superposition #[63, 6]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Or (Eq True False) (Eq (cAutomobile (skS.0 0 a_1)) True))
% 4.11/4.28 Clause #67 (by superposition #[63, 57]): ∀ (a a_1 a_2 : Iota),
% 4.11/4.28 Or (Eq (cCar (skS.0 0 a)) True)
% 4.11/4.28 (Or (Eq (cCar (skS.0 0 a_1)) True)
% 4.11/4.28 (Or (Eq (cAutomobile (skS.0 0 a_1)) True) (Or (Eq (xsd_string (skS.0 2 a_2)) True) (Eq True False))))
% 4.11/4.28 Clause #68 (by clausification #[66]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (cAutomobile (skS.0 0 a_1)) True)
% 4.11/4.28 Clause #77 (by clausification #[67]): ∀ (a a_1 a_2 : Iota),
% 4.11/4.28 Or (Eq (cCar (skS.0 0 a)) True)
% 4.11/4.28 (Or (Eq (cCar (skS.0 0 a_1)) True) (Or (Eq (cAutomobile (skS.0 0 a_1)) True) (Eq (xsd_string (skS.0 2 a_2)) True)))
% 4.11/4.28 Clause #82 (by superposition #[77, 13]): ∀ (a a_1 a_2 : Iota),
% 4.11/4.28 Or (Eq (cCar (skS.0 0 a)) True)
% 4.11/4.28 (Or (Eq (cCar (skS.0 0 a_1)) True)
% 4.11/4.28 (Or (Eq (cAutomobile (skS.0 0 a_1)) True) (Or (Eq True False) (Eq (xsd_integer (skS.0 2 a_2)) False))))
% 4.11/4.28 Clause #83 (by clausification #[82]): ∀ (a a_1 a_2 : Iota),
% 4.11/4.28 Or (Eq (cCar (skS.0 0 a)) True)
% 4.11/4.28 (Or (Eq (cCar (skS.0 0 a_1)) True)
% 4.11/4.28 (Or (Eq (cAutomobile (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 2 a_2)) False)))
% 4.11/4.28 Clause #85 (by superposition #[83, 68]): ∀ (a a_1 a_2 : Iota),
% 4.11/4.28 Or (Eq (cCar (skS.0 0 a)) True)
% 4.11/4.28 (Or (Eq (cCar (skS.0 0 a_1)) True)
% 4.11/4.28 (Or (Eq (cAutomobile (skS.0 0 a_1)) True) (Or (Eq False True) (Eq (cAutomobile (skS.0 0 a_2)) True))))
% 4.11/4.28 Clause #86 (by clausification #[85]): ∀ (a a_1 a_2 : Iota),
% 4.11/4.28 Or (Eq (cCar (skS.0 0 a)) True)
% 4.11/4.28 (Or (Eq (cCar (skS.0 0 a_1)) True) (Or (Eq (cAutomobile (skS.0 0 a_1)) True) (Eq (cAutomobile (skS.0 0 a_2)) True)))
% 4.11/4.28 Clause #92 (by equality factoring #[86]): ∀ (a a_1 : Iota),
% 4.11/4.28 Or (Eq (cCar (skS.0 0 a)) True)
% 4.11/4.28 (Or (Eq (cCar (skS.0 0 a_1)) True) (Or (Ne True True) (Eq (cAutomobile (skS.0 0 a_1)) True)))
% 4.11/4.28 Clause #93 (by clausification #[92]): ∀ (a a_1 : Iota),
% 4.11/4.28 Or (Eq (cCar (skS.0 0 a)) True)
% 4.11/4.28 (Or (Eq (cCar (skS.0 0 a_1)) True) (Or (Eq (cAutomobile (skS.0 0 a_1)) True) (Or (Eq True False) (Eq True False))))
% 4.11/4.28 Clause #95 (by clausification #[93]): ∀ (a a_1 : Iota),
% 4.15/4.30 Or (Eq (cCar (skS.0 0 a)) True)
% 4.15/4.30 (Or (Eq (cCar (skS.0 0 a_1)) True) (Or (Eq (cAutomobile (skS.0 0 a_1)) True) (Eq True False)))
% 4.15/4.30 Clause #96 (by clausification #[95]): ∀ (a a_1 : Iota),
% 4.15/4.30 Or (Eq (cCar (skS.0 0 a)) True) (Or (Eq (cCar (skS.0 0 a_1)) True) (Eq (cAutomobile (skS.0 0 a_1)) True))
% 4.15/4.30 Clause #100 (by superposition #[96, 8]): ∀ (a a_1 : Iota),
% 4.15/4.30 Or (Eq (cCar (skS.0 0 a)) True)
% 4.15/4.30 (Or (Eq (cCar (skS.0 0 a_1)) True) (Or (Eq True False) (Eq (cCar (skS.0 0 a_1)) True)))
% 4.15/4.30 Clause #101 (by clausification #[100]): ∀ (a a_1 : Iota), Or (Eq (cCar (skS.0 0 a)) True) (Or (Eq (cCar (skS.0 0 a_1)) True) (Eq (cCar (skS.0 0 a_1)) True))
% 4.15/4.30 Clause #102 (by eliminate duplicate literals #[101]): ∀ (a a_1 : Iota), Or (Eq (cCar (skS.0 0 a)) True) (Eq (cCar (skS.0 0 a_1)) True)
% 4.15/4.30 Clause #106 (by equality factoring #[102]): ∀ (a : Iota), Or (Ne True True) (Eq (cCar (skS.0 0 a)) True)
% 4.15/4.30 Clause #109 (by clausification #[106]): ∀ (a : Iota), Or (Eq (cCar (skS.0 0 a)) True) (Or (Eq True False) (Eq True False))
% 4.15/4.30 Clause #111 (by clausification #[109]): ∀ (a : Iota), Or (Eq (cCar (skS.0 0 a)) True) (Eq True False)
% 4.15/4.30 Clause #112 (by clausification #[111]): ∀ (a : Iota), Eq (cCar (skS.0 0 a)) True
% 4.15/4.30 Clause #113 (by backward demodulation #[112, 36]): ∀ (a a_1 a_2 : Iota),
% 4.15/4.30 Or (Eq True False)
% 4.15/4.30 (Or (Eq (cAutomobile (skS.0 0 a)) False)
% 4.15/4.30 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.15/4.30 (Or (Eq (xsd_string (skS.0 2 a_2)) False) (Eq (xsd_integer (skS.0 2 a_2)) True))))
% 4.15/4.30 Clause #114 (by backward demodulation #[112, 41]): ∀ (a a_1 a_2 : Iota),
% 4.15/4.30 Or (Eq True False)
% 4.15/4.30 (Or (Eq (cAutomobile (skS.0 0 a)) False)
% 4.15/4.30 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.15/4.30 (Or (Eq (xsd_string (skS.0 2 a_2)) True) (Eq (xsd_integer (skS.0 2 a_2)) False))))
% 4.15/4.30 Clause #116 (by superposition #[112, 6]): ∀ (a : Iota), Or (Eq True False) (Eq (cAutomobile (skS.0 0 a)) True)
% 4.15/4.30 Clause #117 (by clausification #[116]): ∀ (a : Iota), Eq (cAutomobile (skS.0 0 a)) True
% 4.15/4.30 Clause #141 (by clausification #[113]): ∀ (a a_1 a_2 : Iota),
% 4.15/4.30 Or (Eq (cAutomobile (skS.0 0 a)) False)
% 4.15/4.30 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.15/4.30 (Or (Eq (xsd_string (skS.0 2 a_2)) False) (Eq (xsd_integer (skS.0 2 a_2)) True)))
% 4.15/4.30 Clause #142 (by superposition #[141, 117]): ∀ (a a_1 : Iota),
% 4.15/4.30 Or (Eq (cowlThing (skS.0 1 a)) False)
% 4.15/4.30 (Or (Eq (xsd_string (skS.0 2 a_1)) False) (Or (Eq (xsd_integer (skS.0 2 a_1)) True) (Eq False True)))
% 4.15/4.30 Clause #143 (by clausification #[142]): ∀ (a a_1 : Iota),
% 4.15/4.30 Or (Eq (cowlThing (skS.0 1 a)) False) (Or (Eq (xsd_string (skS.0 2 a_1)) False) (Eq (xsd_integer (skS.0 2 a_1)) True))
% 4.15/4.30 Clause #144 (by superposition #[143, 17]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 2 a)) False) (Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq False True))
% 4.15/4.30 Clause #145 (by clausification #[144]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 2 a)) False) (Eq (xsd_integer (skS.0 2 a)) True)
% 4.15/4.30 Clause #146 (by superposition #[145, 12]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 2 a)) True))
% 4.15/4.30 Clause #147 (by clausification #[146]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 2 a)) True) (Eq (xsd_integer (skS.0 2 a)) True)
% 4.15/4.30 Clause #148 (by eliminate duplicate literals #[147]): ∀ (a : Iota), Eq (xsd_integer (skS.0 2 a)) True
% 4.15/4.30 Clause #155 (by clausification #[114]): ∀ (a a_1 a_2 : Iota),
% 4.15/4.30 Or (Eq (cAutomobile (skS.0 0 a)) False)
% 4.15/4.30 (Or (Eq (cowlThing (skS.0 1 a_1)) False)
% 4.15/4.30 (Or (Eq (xsd_string (skS.0 2 a_2)) True) (Eq (xsd_integer (skS.0 2 a_2)) False)))
% 4.15/4.30 Clause #156 (by forward demodulation #[155, 148]): ∀ (a a_1 a_2 : Iota),
% 4.15/4.30 Or (Eq (cAutomobile (skS.0 0 a)) False)
% 4.15/4.30 (Or (Eq (cowlThing (skS.0 1 a_1)) False) (Or (Eq (xsd_string (skS.0 2 a_2)) True) (Eq True False)))
% 4.15/4.30 Clause #157 (by clausification #[156]): ∀ (a a_1 a_2 : Iota),
% 4.15/4.30 Or (Eq (cAutomobile (skS.0 0 a)) False) (Or (Eq (cowlThing (skS.0 1 a_1)) False) (Eq (xsd_string (skS.0 2 a_2)) True))
% 4.15/4.30 Clause #158 (by superposition #[157, 117]): ∀ (a a_1 : Iota), Or (Eq (cowlThing (skS.0 1 a)) False) (Or (Eq (xsd_string (skS.0 2 a_1)) True) (Eq False True))
% 4.15/4.30 Clause #159 (by clausification #[158]): ∀ (a a_1 : Iota), Or (Eq (cowlThing (skS.0 1 a)) False) (Eq (xsd_string (skS.0 2 a_1)) True)
% 4.15/4.30 Clause #160 (by superposition #[159, 17]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq False True)
% 4.15/4.30 Clause #161 (by clausification #[160]): ∀ (a : Iota), Eq (xsd_string (skS.0 2 a)) True
% 4.15/4.30 Clause #162 (by superposition #[161, 13]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 2 a)) False)
% 4.15/4.30 Clause #165 (by clausification #[162]): ∀ (a : Iota), Eq (xsd_integer (skS.0 2 a)) False
% 4.15/4.30 Clause #166 (by superposition #[165, 148]): Eq False True
% 4.15/4.30 Clause #167 (by clausification #[166]): False
% 4.15/4.30 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------