TSTP Solution File: KRS169+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KRS169+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n012.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 05:43:36 EDT 2023
% Result : Theorem 3.53s 3.73s
% Output : Proof 3.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS169+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : duper %s
% 0.17/0.35 % Computer : n012.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Mon Aug 28 01:41:55 EDT 2023
% 0.17/0.35 % CPUTime :
% 3.53/3.73 SZS status Theorem for theBenchmark.p
% 3.53/3.73 SZS output start Proof for theBenchmark.p
% 3.53/3.73 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True
% 3.53/3.73 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True
% 3.53/3.73 Clause #3 (by assumption #[]): Eq (rhasLeader iX iY) True
% 3.53/3.73 Clause #5 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (rhasLeader X Y) (rhasHead X Y)) True
% 3.53/3.73 Clause #6 (by assumption #[]): Eq
% 3.53/3.73 (Not
% 3.53/3.73 (And
% 3.53/3.73 (And
% 3.53/3.73 (And
% 3.53/3.73 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.53/3.73 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.53/3.73 (cowlThing iX))
% 3.53/3.73 (rhasHead iX iY))
% 3.53/3.73 (cowlThing iY)))
% 3.53/3.73 True
% 3.53/3.73 Clause #7 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True
% 3.53/3.73 Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False)
% 3.53/3.73 Clause #9 (by clausification #[7]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True)
% 3.53/3.73 Clause #10 (by clausification #[8]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True)
% 3.53/3.73 Clause #11 (by clausification #[9]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False)
% 3.53/3.73 Clause #13 (by clausification #[0]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True
% 3.53/3.73 Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True
% 3.53/3.73 Clause #15 (by clausification #[13]): ∀ (a : Iota), Eq (cowlThing a) True
% 3.53/3.73 Clause #16 (by clausification #[14]): ∀ (a : Iota), Eq (cowlNothing a) False
% 3.53/3.73 Clause #18 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (rhasLeader a Y) (rhasHead a Y)) True
% 3.53/3.73 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Eq (Iff (rhasLeader a a_1) (rhasHead a a_1)) True
% 3.53/3.73 Clause #21 (by clausification #[19]): ∀ (a a_1 : Iota), Or (Eq (rhasLeader a a_1) False) (Eq (rhasHead a a_1) True)
% 3.53/3.73 Clause #22 (by superposition #[21, 3]): Or (Eq (rhasHead iX iY) True) (Eq False True)
% 3.53/3.73 Clause #23 (by clausification #[22]): Eq (rhasHead iX iY) True
% 3.53/3.73 Clause #25 (by clausification #[6]): Eq
% 3.53/3.73 (And
% 3.53/3.73 (And
% 3.53/3.73 (And
% 3.53/3.73 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.53/3.73 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.53/3.73 (cowlThing iX))
% 3.53/3.73 (rhasHead iX iY))
% 3.53/3.73 (cowlThing iY))
% 3.53/3.73 False
% 3.53/3.73 Clause #26 (by clausification #[25]): Or
% 3.53/3.73 (Eq
% 3.53/3.73 (And
% 3.53/3.73 (And
% 3.53/3.73 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.53/3.73 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.53/3.73 (cowlThing iX))
% 3.53/3.73 (rhasHead iX iY))
% 3.53/3.73 False)
% 3.53/3.73 (Eq (cowlThing iY) False)
% 3.53/3.73 Clause #27 (by clausification #[26]): Or (Eq (cowlThing iY) False)
% 3.53/3.73 (Or
% 3.53/3.73 (Eq
% 3.53/3.73 (And
% 3.53/3.73 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.53/3.73 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.53/3.73 (cowlThing iX))
% 3.53/3.73 False)
% 3.53/3.73 (Eq (rhasHead iX iY) False))
% 3.53/3.73 Clause #28 (by clausification #[27]): Or (Eq (cowlThing iY) False)
% 3.53/3.73 (Or (Eq (rhasHead iX iY) False)
% 3.53/3.73 (Or
% 3.53/3.73 (Eq
% 3.53/3.73 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.53/3.73 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.53/3.73 False)
% 3.53/3.73 (Eq (cowlThing iX) False)))
% 3.53/3.73 Clause #29 (by clausification #[28]): Or (Eq (cowlThing iY) False)
% 3.53/3.73 (Or (Eq (rhasHead iX iY) False)
% 3.53/3.73 (Or (Eq (cowlThing iX) False)
% 3.53/3.73 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False)
% 3.53/3.73 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False))))
% 3.53/3.73 Clause #30 (by clausification #[29]): ∀ (a : Iota),
% 3.53/3.73 Or (Eq (cowlThing iY) False)
% 3.53/3.73 (Or (Eq (rhasHead iX iY) False)
% 3.53/3.73 (Or (Eq (cowlThing iX) False)
% 3.53/3.73 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)
% 3.53/3.73 (Eq (Not (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a))))) True))))
% 3.53/3.73 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota),
% 3.53/3.73 Or (Eq (cowlThing iY) False)
% 3.53/3.73 (Or (Eq (rhasHead iX iY) False)
% 3.53/3.73 (Or (Eq (cowlThing iX) False)
% 3.53/3.73 (Or (Eq (Not (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a))))) True)
% 3.53/3.75 (Eq (Not (Iff (xsd_string (skS.0 1 a_1)) (Not (xsd_integer (skS.0 1 a_1))))) True))))
% 3.53/3.75 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota),
% 3.53/3.75 Or (Eq (cowlThing iY) False)
% 3.53/3.75 (Or (Eq (rhasHead iX iY) False)
% 3.53/3.75 (Or (Eq (cowlThing iX) False)
% 3.53/3.75 (Or (Eq (Not (Iff (xsd_string (skS.0 1 a)) (Not (xsd_integer (skS.0 1 a))))) True)
% 3.53/3.75 (Eq (And (cowlThing (skS.0 0 a_1)) (Not (cowlNothing (skS.0 0 a_1)))) False))))
% 3.53/3.75 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota),
% 3.53/3.75 Or (Eq (cowlThing iY) False)
% 3.53/3.75 (Or (Eq (rhasHead iX iY) False)
% 3.53/3.75 (Or (Eq (cowlThing iX) False)
% 3.53/3.75 (Or (Eq (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a)))) False)
% 3.53/3.75 (Eq (Iff (xsd_string (skS.0 1 a_1)) (Not (xsd_integer (skS.0 1 a_1)))) False))))
% 3.53/3.75 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota),
% 3.53/3.75 Or (Eq (cowlThing iY) False)
% 3.53/3.75 (Or (Eq (rhasHead iX iY) False)
% 3.53/3.75 (Or (Eq (cowlThing iX) False)
% 3.53/3.75 (Or (Eq (Iff (xsd_string (skS.0 1 a)) (Not (xsd_integer (skS.0 1 a)))) False)
% 3.53/3.75 (Or (Eq (cowlThing (skS.0 0 a_1)) False) (Eq (Not (cowlNothing (skS.0 0 a_1))) False)))))
% 3.53/3.75 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota),
% 3.53/3.75 Or (Eq (cowlThing iY) False)
% 3.53/3.75 (Or (Eq (rhasHead iX iY) False)
% 3.53/3.75 (Or (Eq (cowlThing iX) False)
% 3.53/3.75 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.53/3.75 (Or (Eq (Not (cowlNothing (skS.0 0 a))) False)
% 3.53/3.75 (Or (Eq (xsd_string (skS.0 1 a_1)) False) (Eq (Not (xsd_integer (skS.0 1 a_1))) False))))))
% 3.53/3.75 Clause #36 (by clausification #[34]): ∀ (a a_1 : Iota),
% 3.53/3.75 Or (Eq (cowlThing iY) False)
% 3.53/3.75 (Or (Eq (rhasHead iX iY) False)
% 3.53/3.75 (Or (Eq (cowlThing iX) False)
% 3.53/3.75 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.53/3.75 (Or (Eq (Not (cowlNothing (skS.0 0 a))) False)
% 3.53/3.75 (Or (Eq (xsd_string (skS.0 1 a_1)) True) (Eq (Not (xsd_integer (skS.0 1 a_1))) True))))))
% 3.53/3.75 Clause #37 (by clausification #[35]): ∀ (a a_1 : Iota),
% 3.53/3.75 Or (Eq (cowlThing iY) False)
% 3.53/3.75 (Or (Eq (rhasHead iX iY) False)
% 3.53/3.75 (Or (Eq (cowlThing iX) False)
% 3.53/3.75 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.53/3.75 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.53/3.75 (Or (Eq (Not (xsd_integer (skS.0 1 a_1))) False) (Eq (cowlNothing (skS.0 0 a)) True))))))
% 3.53/3.75 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota),
% 3.53/3.75 Or (Eq (cowlThing iY) False)
% 3.53/3.75 (Or (Eq (rhasHead iX iY) False)
% 3.53/3.75 (Or (Eq (cowlThing iX) False)
% 3.53/3.75 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.53/3.75 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.53/3.75 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))))
% 3.53/3.75 Clause #39 (by forward demodulation #[38, 15]): ∀ (a a_1 : Iota),
% 3.53/3.75 Or (Eq True False)
% 3.53/3.75 (Or (Eq (rhasHead iX iY) False)
% 3.53/3.75 (Or (Eq (cowlThing iX) False)
% 3.53/3.75 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.53/3.75 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.53/3.75 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))))
% 3.53/3.75 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota),
% 3.53/3.75 Or (Eq (rhasHead iX iY) False)
% 3.53/3.75 (Or (Eq (cowlThing iX) False)
% 3.53/3.75 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.53/3.75 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.53/3.75 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))))
% 3.53/3.75 Clause #41 (by forward demodulation #[40, 23]): ∀ (a a_1 : Iota),
% 3.53/3.75 Or (Eq True False)
% 3.53/3.75 (Or (Eq (cowlThing iX) False)
% 3.53/3.75 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.53/3.75 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.53/3.75 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))))
% 3.53/3.75 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota),
% 3.53/3.75 Or (Eq (cowlThing iX) False)
% 3.53/3.75 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.53/3.75 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.53/3.75 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))
% 3.53/3.75 Clause #43 (by forward demodulation #[42, 15]): ∀ (a a_1 : Iota),
% 3.53/3.75 Or (Eq True False)
% 3.53/3.75 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.53/3.75 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.53/3.75 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))
% 3.62/3.78 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota),
% 3.62/3.78 Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.62/3.78 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.62/3.78 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))
% 3.62/3.78 Clause #45 (by forward demodulation #[44, 15]): ∀ (a a_1 : Iota),
% 3.62/3.78 Or (Eq True False)
% 3.62/3.78 (Or (Eq (xsd_string (skS.0 1 a)) False)
% 3.62/3.78 (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a)) True)))
% 3.62/3.78 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota),
% 3.62/3.78 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))
% 3.62/3.78 Clause #47 (by superposition #[46, 10]): ∀ (a a_1 : Iota),
% 3.62/3.78 Or (Eq (cowlNothing (skS.0 0 a)) True)
% 3.62/3.78 (Or (Eq (xsd_integer (skS.0 1 a_1)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 1 a_1)) True)))
% 3.62/3.78 Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota),
% 3.62/3.78 Or (Eq (cowlNothing (skS.0 0 a)) True)
% 3.62/3.78 (Or (Eq (xsd_integer (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))
% 3.62/3.78 Clause #49 (by eliminate duplicate literals #[48]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)
% 3.62/3.78 Clause #50 (by superposition #[49, 16]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 1 a)) True) (Eq True False)
% 3.62/3.78 Clause #51 (by clausification #[50]): ∀ (a : Iota), Eq (xsd_integer (skS.0 1 a)) True
% 3.62/3.78 Clause #52 (by clausification #[36]): ∀ (a a_1 : Iota),
% 3.62/3.78 Or (Eq (cowlThing iY) False)
% 3.62/3.78 (Or (Eq (rhasHead iX iY) False)
% 3.62/3.78 (Or (Eq (cowlThing iX) False)
% 3.62/3.78 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.62/3.78 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.62/3.78 (Or (Eq (Not (xsd_integer (skS.0 1 a_1))) True) (Eq (cowlNothing (skS.0 0 a)) True))))))
% 3.62/3.78 Clause #53 (by clausification #[52]): ∀ (a a_1 : Iota),
% 3.62/3.78 Or (Eq (cowlThing iY) False)
% 3.62/3.78 (Or (Eq (rhasHead iX iY) False)
% 3.62/3.78 (Or (Eq (cowlThing iX) False)
% 3.62/3.78 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.62/3.78 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.62/3.78 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))))
% 3.62/3.78 Clause #54 (by forward demodulation #[53, 15]): ∀ (a a_1 : Iota),
% 3.62/3.78 Or (Eq True False)
% 3.62/3.78 (Or (Eq (rhasHead iX iY) False)
% 3.62/3.78 (Or (Eq (cowlThing iX) False)
% 3.62/3.78 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.62/3.78 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.62/3.78 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))))
% 3.62/3.78 Clause #55 (by clausification #[54]): ∀ (a a_1 : Iota),
% 3.62/3.78 Or (Eq (rhasHead iX iY) False)
% 3.62/3.78 (Or (Eq (cowlThing iX) False)
% 3.62/3.78 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.62/3.78 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.62/3.78 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))))
% 3.62/3.78 Clause #56 (by forward demodulation #[55, 23]): ∀ (a a_1 : Iota),
% 3.62/3.78 Or (Eq True False)
% 3.62/3.78 (Or (Eq (cowlThing iX) False)
% 3.62/3.78 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.62/3.78 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.62/3.78 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))))
% 3.62/3.78 Clause #57 (by clausification #[56]): ∀ (a a_1 : Iota),
% 3.62/3.78 Or (Eq (cowlThing iX) False)
% 3.62/3.78 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.62/3.78 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.62/3.78 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))
% 3.62/3.78 Clause #58 (by forward demodulation #[57, 15]): ∀ (a a_1 : Iota),
% 3.62/3.78 Or (Eq True False)
% 3.62/3.78 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.62/3.78 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.62/3.78 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))
% 3.62/3.78 Clause #59 (by clausification #[58]): ∀ (a a_1 : Iota),
% 3.62/3.78 Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.62/3.78 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.62/3.78 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))
% 3.62/3.78 Clause #60 (by forward demodulation #[59, 15]): ∀ (a a_1 : Iota),
% 3.62/3.78 Or (Eq True False)
% 3.62/3.78 (Or (Eq (xsd_string (skS.0 1 a)) True)
% 3.62/3.78 (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a)) False)))
% 3.63/3.78 Clause #61 (by clausification #[60]): ∀ (a a_1 : Iota),
% 3.63/3.78 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))
% 3.63/3.78 Clause #62 (by forward demodulation #[61, 51]): ∀ (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))
% 3.63/3.78 Clause #63 (by clausification #[62]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 1 a)) True) (Eq (cowlNothing (skS.0 0 a_1)) True)
% 3.63/3.78 Clause #64 (by superposition #[63, 11]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 0 a)) True) (Or (Eq True False) (Eq (xsd_integer (skS.0 1 a_1)) False))
% 3.63/3.78 Clause #68 (by clausification #[64]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)
% 3.63/3.78 Clause #69 (by superposition #[68, 51]): ∀ (a : Iota), Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq False True)
% 3.63/3.78 Clause #70 (by clausification #[69]): ∀ (a : Iota), Eq (cowlNothing (skS.0 0 a)) True
% 3.63/3.78 Clause #71 (by superposition #[70, 16]): Eq True False
% 3.63/3.78 Clause #72 (by clausification #[71]): False
% 3.63/3.78 SZS output end Proof for theBenchmark.p
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