↑ Up

Duper---1.0.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : KRS139+1 : TPTP v9.2.0. 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 : Fri Oct  3 07:52:41 PM UTC 2025

% Result   : Theorem 3.46s 3.71s
% Output   : Proof 3.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : KRS139+1 : TPTP v9.2.0. Released v3.1.0.
% 0.11/0.14  % Command    : duper %s
% 0.13/0.36  % Computer : n008.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.37  % DateTime   : Thu Oct  2 10:21:23 EDT 2025
% 0.13/0.37  % CPUTime    : 
% 3.46/3.71  SZS status Theorem for theBenchmark.p
% 3.46/3.71  SZS output start Proof for theBenchmark.p
% 3.46/3.71  Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True
% 3.46/3.71  Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True
% 3.46/3.71  Clause #2 (by assumption #[]): Eq (∀ (X Y : Iota), rpath X Y → rpath Y X) True
% 3.46/3.71  Clause #5 (by assumption #[]): Eq (rpath iGhent iAntwerp) True
% 3.46/3.71  Clause #6 (by assumption #[]): Eq
% 3.46/3.71    (Not
% 3.46/3.71      (And
% 3.46/3.71        (And
% 3.46/3.71          (And
% 3.46/3.71            (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.46/3.71              (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.46/3.71            (cowlThing iAntwerp))
% 3.46/3.71          (rpath iAntwerp iGhent))
% 3.46/3.71        (cowlThing iGhent)))
% 3.46/3.71    True
% 3.46/3.71  Clause #7 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (Y : Iota), rpath a Y → rpath Y a) True
% 3.46/3.71  Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Eq (rpath a a_1 → rpath a_1 a) True
% 3.46/3.71  Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Or (Eq (rpath a a_1) False) (Eq (rpath a_1 a) True)
% 3.46/3.71  Clause #10 (by superposition #[9, 5]): Or (Eq (rpath iAntwerp iGhent) True) (Eq False True)
% 3.46/3.71  Clause #11 (by clausification #[10]): Eq (rpath iAntwerp iGhent) True
% 3.46/3.71  Clause #13 (by clausification #[0]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True
% 3.46/3.71  Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True
% 3.46/3.71  Clause #15 (by clausification #[13]): ∀ (a : Iota), Eq (cowlThing a) True
% 3.46/3.71  Clause #16 (by clausification #[14]): ∀ (a : Iota), Eq (cowlNothing a) False
% 3.46/3.71  Clause #17 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True
% 3.46/3.71  Clause #18 (by clausification #[17]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False)
% 3.46/3.71  Clause #19 (by clausification #[17]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True)
% 3.46/3.71  Clause #20 (by clausification #[18]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True)
% 3.46/3.71  Clause #21 (by clausification #[19]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False)
% 3.46/3.71  Clause #24 (by clausification #[6]): Eq
% 3.46/3.71    (And
% 3.46/3.71      (And
% 3.46/3.71        (And
% 3.46/3.71          (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.46/3.71            (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.46/3.71          (cowlThing iAntwerp))
% 3.46/3.71        (rpath iAntwerp iGhent))
% 3.46/3.71      (cowlThing iGhent))
% 3.46/3.71    False
% 3.46/3.71  Clause #25 (by clausification #[24]): Or
% 3.46/3.71    (Eq
% 3.46/3.71      (And
% 3.46/3.71        (And
% 3.46/3.71          (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.46/3.71            (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.46/3.71          (cowlThing iAntwerp))
% 3.46/3.71        (rpath iAntwerp iGhent))
% 3.46/3.71      False)
% 3.46/3.71    (Eq (cowlThing iGhent) False)
% 3.46/3.71  Clause #26 (by clausification #[25]): Or (Eq (cowlThing iGhent) False)
% 3.46/3.71    (Or
% 3.46/3.71      (Eq
% 3.46/3.71        (And
% 3.46/3.71          (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.46/3.71            (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.46/3.71          (cowlThing iAntwerp))
% 3.46/3.71        False)
% 3.46/3.71      (Eq (rpath iAntwerp iGhent) False))
% 3.46/3.71  Clause #27 (by clausification #[26]): Or (Eq (cowlThing iGhent) False)
% 3.46/3.71    (Or (Eq (rpath iAntwerp iGhent) False)
% 3.46/3.71      (Or
% 3.46/3.71        (Eq
% 3.46/3.71          (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.46/3.71            (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.46/3.71          False)
% 3.46/3.71        (Eq (cowlThing iAntwerp) False)))
% 3.46/3.71  Clause #28 (by clausification #[27]): Or (Eq (cowlThing iGhent) False)
% 3.46/3.71    (Or (Eq (rpath iAntwerp iGhent) False)
% 3.46/3.71      (Or (Eq (cowlThing iAntwerp) False)
% 3.46/3.71        (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False)
% 3.46/3.71          (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False))))
% 3.46/3.71  Clause #29 (by clausification #[28]): ∀ (a : Iota),
% 3.46/3.71    Or (Eq (cowlThing iGhent) False)
% 3.46/3.71      (Or (Eq (rpath iAntwerp iGhent) False)
% 3.46/3.71        (Or (Eq (cowlThing iAntwerp) False)
% 3.46/3.71          (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)
% 3.46/3.71            (Eq (Not (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a))))) True))))
% 3.46/3.71  Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota),
% 3.46/3.71    Or (Eq (cowlThing iGhent) False)
% 3.54/3.74      (Or (Eq (rpath iAntwerp iGhent) False)
% 3.54/3.74        (Or (Eq (cowlThing iAntwerp) False)
% 3.54/3.74          (Or (Eq (Not (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a))))) True)
% 3.54/3.74            (Eq (Not (Iff (xsd_string (skS.0 1 a_1)) (Not (xsd_integer (skS.0 1 a_1))))) True))))
% 3.54/3.74  Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota),
% 3.54/3.74    Or (Eq (cowlThing iGhent) False)
% 3.54/3.74      (Or (Eq (rpath iAntwerp iGhent) False)
% 3.54/3.74        (Or (Eq (cowlThing iAntwerp) False)
% 3.54/3.74          (Or (Eq (Not (Iff (xsd_string (skS.0 1 a)) (Not (xsd_integer (skS.0 1 a))))) True)
% 3.54/3.74            (Eq (And (cowlThing (skS.0 0 a_1)) (Not (cowlNothing (skS.0 0 a_1)))) False))))
% 3.54/3.74  Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota),
% 3.54/3.74    Or (Eq (cowlThing iGhent) False)
% 3.54/3.74      (Or (Eq (rpath iAntwerp iGhent) False)
% 3.54/3.74        (Or (Eq (cowlThing iAntwerp) False)
% 3.54/3.74          (Or (Eq (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a)))) False)
% 3.54/3.74            (Eq (Iff (xsd_string (skS.0 1 a_1)) (Not (xsd_integer (skS.0 1 a_1)))) False))))
% 3.54/3.74  Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota),
% 3.54/3.74    Or (Eq (cowlThing iGhent) False)
% 3.54/3.74      (Or (Eq (rpath iAntwerp iGhent) False)
% 3.54/3.74        (Or (Eq (cowlThing iAntwerp) False)
% 3.54/3.74          (Or (Eq (Iff (xsd_string (skS.0 1 a)) (Not (xsd_integer (skS.0 1 a)))) False)
% 3.54/3.74            (Or (Eq (cowlThing (skS.0 0 a_1)) False) (Eq (Not (cowlNothing (skS.0 0 a_1))) False)))))
% 3.54/3.74  Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota),
% 3.54/3.74    Or (Eq (cowlThing iGhent) False)
% 3.54/3.74      (Or (Eq (rpath iAntwerp iGhent) False)
% 3.54/3.74        (Or (Eq (cowlThing iAntwerp) False)
% 3.54/3.74          (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.54/3.74            (Or (Eq (Not (cowlNothing (skS.0 0 a))) False)
% 3.54/3.74              (Or (Eq (xsd_string (skS.0 1 a_1)) False) (Eq (Not (xsd_integer (skS.0 1 a_1))) False))))))
% 3.54/3.74  Clause #35 (by clausification #[33]): ∀ (a a_1 : Iota),
% 3.54/3.74    Or (Eq (cowlThing iGhent) False)
% 3.54/3.74      (Or (Eq (rpath iAntwerp iGhent) False)
% 3.54/3.74        (Or (Eq (cowlThing iAntwerp) False)
% 3.54/3.74          (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.54/3.74            (Or (Eq (Not (cowlNothing (skS.0 0 a))) False)
% 3.54/3.74              (Or (Eq (xsd_string (skS.0 1 a_1)) True) (Eq (Not (xsd_integer (skS.0 1 a_1))) True))))))
% 3.54/3.74  Clause #36 (by clausification #[34]): ∀ (a a_1 : Iota),
% 3.54/3.74    Or (Eq (cowlThing iGhent) False)
% 3.54/3.74      (Or (Eq (rpath iAntwerp iGhent) False)
% 3.54/3.74        (Or (Eq (cowlThing iAntwerp) False)
% 3.54/3.74          (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.54/3.74            (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.54/3.74              (Or (Eq (Not (xsd_integer (skS.0 1 a_1))) False) (Eq (cowlNothing (skS.0 0 a)) True))))))
% 3.54/3.74  Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota),
% 3.54/3.74    Or (Eq (cowlThing iGhent) False)
% 3.54/3.74      (Or (Eq (rpath iAntwerp iGhent) False)
% 3.54/3.74        (Or (Eq (cowlThing iAntwerp) False)
% 3.54/3.74          (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.54/3.74            (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.54/3.74              (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))))
% 3.54/3.74  Clause #38 (by forward demodulation #[37, 15]): ∀ (a a_1 : Iota),
% 3.54/3.74    Or (Eq True False)
% 3.54/3.74      (Or (Eq (rpath iAntwerp iGhent) False)
% 3.54/3.74        (Or (Eq (cowlThing iAntwerp) False)
% 3.54/3.74          (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.54/3.74            (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.54/3.74              (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))))
% 3.54/3.74  Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota),
% 3.54/3.74    Or (Eq (rpath iAntwerp iGhent) False)
% 3.54/3.74      (Or (Eq (cowlThing iAntwerp) False)
% 3.54/3.74        (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.54/3.74          (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.54/3.74            (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))))
% 3.54/3.74  Clause #40 (by forward demodulation #[39, 11]): ∀ (a a_1 : Iota),
% 3.54/3.74    Or (Eq True False)
% 3.54/3.74      (Or (Eq (cowlThing iAntwerp) False)
% 3.54/3.74        (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.54/3.74          (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.54/3.74            (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))))
% 3.54/3.74  Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota),
% 3.54/3.74    Or (Eq (cowlThing iAntwerp) False)
% 3.54/3.74      (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.54/3.74        (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.54/3.74          (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))
% 3.54/3.76  Clause #42 (by forward demodulation #[41, 15]): ∀ (a a_1 : Iota),
% 3.54/3.76    Or (Eq True False)
% 3.54/3.76      (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.54/3.76        (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.54/3.76          (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))
% 3.54/3.76  Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota),
% 3.54/3.76    Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.54/3.76      (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.54/3.76        (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))
% 3.54/3.76  Clause #44 (by forward demodulation #[43, 15]): ∀ (a a_1 : Iota),
% 3.54/3.76    Or (Eq True False)
% 3.54/3.76      (Or (Eq (xsd_string (skS.0 1 a)) False)
% 3.54/3.76        (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a)) True)))
% 3.54/3.76  Clause #45 (by clausification #[44]): ∀ (a a_1 : Iota),
% 3.54/3.76    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))
% 3.54/3.76  Clause #46 (by superposition #[45, 20]): ∀ (a a_1 : Iota),
% 3.54/3.76    Or (Eq (cowlNothing (skS.0 0 a)) True)
% 3.54/3.76      (Or (Eq (xsd_integer (skS.0 1 a_1)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 1 a_1)) True)))
% 3.54/3.76  Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota),
% 3.54/3.76    Or (Eq (cowlNothing (skS.0 0 a)) True)
% 3.54/3.76      (Or (Eq (xsd_integer (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))
% 3.54/3.76  Clause #48 (by eliminate duplicate literals #[47]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)
% 3.54/3.76  Clause #49 (by superposition #[48, 16]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 1 a)) True) (Eq True False)
% 3.54/3.76  Clause #50 (by clausification #[49]): ∀ (a : Iota), Eq (xsd_integer (skS.0 1 a)) True
% 3.54/3.76  Clause #51 (by clausification #[35]): ∀ (a a_1 : Iota),
% 3.54/3.76    Or (Eq (cowlThing iGhent) False)
% 3.54/3.76      (Or (Eq (rpath iAntwerp iGhent) False)
% 3.54/3.76        (Or (Eq (cowlThing iAntwerp) False)
% 3.54/3.76          (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.54/3.76            (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.54/3.76              (Or (Eq (Not (xsd_integer (skS.0 1 a_1))) True) (Eq (cowlNothing (skS.0 0 a)) True))))))
% 3.54/3.76  Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota),
% 3.54/3.76    Or (Eq (cowlThing iGhent) False)
% 3.54/3.76      (Or (Eq (rpath iAntwerp iGhent) False)
% 3.54/3.76        (Or (Eq (cowlThing iAntwerp) False)
% 3.54/3.76          (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.54/3.76            (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.54/3.76              (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))))
% 3.54/3.76  Clause #53 (by forward demodulation #[52, 15]): ∀ (a a_1 : Iota),
% 3.54/3.76    Or (Eq True False)
% 3.54/3.76      (Or (Eq (rpath iAntwerp iGhent) False)
% 3.54/3.76        (Or (Eq (cowlThing iAntwerp) False)
% 3.54/3.76          (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.54/3.76            (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.54/3.76              (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))))
% 3.54/3.76  Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota),
% 3.54/3.76    Or (Eq (rpath iAntwerp iGhent) False)
% 3.54/3.76      (Or (Eq (cowlThing iAntwerp) False)
% 3.54/3.76        (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.54/3.76          (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.54/3.76            (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))))
% 3.54/3.76  Clause #55 (by forward demodulation #[54, 11]): ∀ (a a_1 : Iota),
% 3.54/3.76    Or (Eq True False)
% 3.54/3.76      (Or (Eq (cowlThing iAntwerp) False)
% 3.54/3.76        (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.54/3.76          (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.54/3.76            (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))))
% 3.54/3.76  Clause #56 (by clausification #[55]): ∀ (a a_1 : Iota),
% 3.54/3.76    Or (Eq (cowlThing iAntwerp) False)
% 3.54/3.76      (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.54/3.76        (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.54/3.76          (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))
% 3.54/3.76  Clause #57 (by forward demodulation #[56, 15]): ∀ (a a_1 : Iota),
% 3.54/3.76    Or (Eq True False)
% 3.54/3.76      (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.54/3.76        (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.54/3.76          (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))
% 3.54/3.76  Clause #58 (by clausification #[57]): ∀ (a a_1 : Iota),
% 3.54/3.76    Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.54/3.77      (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.54/3.77        (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))
% 3.54/3.77  Clause #59 (by forward demodulation #[58, 15]): ∀ (a a_1 : Iota),
% 3.54/3.77    Or (Eq True False)
% 3.54/3.77      (Or (Eq (xsd_string (skS.0 1 a)) True)
% 3.54/3.77        (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a)) False)))
% 3.54/3.77  Clause #60 (by clausification #[59]): ∀ (a a_1 : Iota),
% 3.54/3.77    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))
% 3.54/3.77  Clause #61 (by forward demodulation #[60, 50]): ∀ (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))
% 3.54/3.77  Clause #62 (by clausification #[61]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 1 a)) True) (Eq (cowlNothing (skS.0 0 a_1)) True)
% 3.54/3.77  Clause #64 (by superposition #[62, 16]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 1 a)) True) (Eq True False)
% 3.54/3.77  Clause #65 (by clausification #[64]): ∀ (a : Iota), Eq (xsd_string (skS.0 1 a)) True
% 3.54/3.77  Clause #66 (by superposition #[65, 21]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 1 a)) False)
% 3.54/3.77  Clause #67 (by clausification #[66]): ∀ (a : Iota), Eq (xsd_integer (skS.0 1 a)) False
% 3.54/3.77  Clause #68 (by superposition #[67, 50]): Eq False True
% 3.54/3.77  Clause #70 (by clausification #[68]): False
% 3.54/3.77  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------