TSTP Solution File: KRS152+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KRS152+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n026.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 05:43:32 EDT 2023
% Result : Theorem 3.71s 3.87s
% Output : Proof 3.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS152+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 01:41:04 EDT 2023
% 0.13/0.33 % CPUTime :
% 3.71/3.87 SZS status Theorem for theBenchmark.p
% 3.71/3.87 SZS output start Proof for theBenchmark.p
% 3.71/3.87 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True
% 3.71/3.87 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True
% 3.71/3.87 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Iff (cC10 X) (And (cC2 X) (cC4 X))) True
% 3.71/3.87 Clause #3 (by assumption #[]): Eq (∀ (X : Iota), Iff (cC12 X) (Exists fun Y => And (rR1 X Y) (cC10 Y))) True
% 3.71/3.87 Clause #11 (by assumption #[]): Eq (rR1 iV21080 iV21081) True
% 3.71/3.87 Clause #14 (by assumption #[]): Eq (cC2 iV21081) True
% 3.71/3.87 Clause #15 (by assumption #[]): Eq (cC4 iV21081) True
% 3.71/3.87 Clause #16 (by assumption #[]): Eq
% 3.71/3.87 (Not
% 3.71/3.87 (And
% 3.71/3.87 (And
% 3.71/3.87 (And
% 3.71/3.87 (And
% 3.71/3.87 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.71/3.87 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.71/3.87 (cowlThing iV21080))
% 3.71/3.87 (cC12 iV21080))
% 3.71/3.87 (cC10 iV21081))
% 3.71/3.87 (cowlThing iV21081)))
% 3.71/3.87 True
% 3.71/3.87 Clause #17 (by clausification #[0]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True
% 3.71/3.87 Clause #18 (by clausification #[17]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True
% 3.71/3.87 Clause #19 (by clausification #[17]): ∀ (a : Iota), Eq (cowlThing a) True
% 3.71/3.87 Clause #20 (by clausification #[18]): ∀ (a : Iota), Eq (cowlNothing a) False
% 3.71/3.87 Clause #27 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True
% 3.71/3.87 Clause #28 (by clausification #[27]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False)
% 3.71/3.87 Clause #29 (by clausification #[27]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True)
% 3.71/3.87 Clause #30 (by clausification #[28]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True)
% 3.71/3.87 Clause #31 (by clausification #[29]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False)
% 3.71/3.87 Clause #32 (by clausification #[2]): ∀ (a : Iota), Eq (Iff (cC10 a) (And (cC2 a) (cC4 a))) True
% 3.71/3.87 Clause #33 (by clausification #[32]): ∀ (a : Iota), Or (Eq (cC10 a) True) (Eq (And (cC2 a) (cC4 a)) False)
% 3.71/3.87 Clause #35 (by clausification #[33]): ∀ (a : Iota), Or (Eq (cC10 a) True) (Or (Eq (cC2 a) False) (Eq (cC4 a) False))
% 3.71/3.87 Clause #36 (by superposition #[35, 14]): Or (Eq (cC10 iV21081) True) (Or (Eq (cC4 iV21081) False) (Eq False True))
% 3.71/3.87 Clause #37 (by clausification #[36]): Or (Eq (cC10 iV21081) True) (Eq (cC4 iV21081) False)
% 3.71/3.87 Clause #38 (by superposition #[37, 15]): Or (Eq (cC10 iV21081) True) (Eq False True)
% 3.71/3.87 Clause #39 (by clausification #[38]): Eq (cC10 iV21081) True
% 3.71/3.87 Clause #41 (by clausification #[3]): ∀ (a : Iota), Eq (Iff (cC12 a) (Exists fun Y => And (rR1 a Y) (cC10 Y))) True
% 3.71/3.87 Clause #42 (by clausification #[41]): ∀ (a : Iota), Or (Eq (cC12 a) True) (Eq (Exists fun Y => And (rR1 a Y) (cC10 Y)) False)
% 3.71/3.87 Clause #44 (by clausification #[42]): ∀ (a a_1 : Iota), Or (Eq (cC12 a) True) (Eq (And (rR1 a a_1) (cC10 a_1)) False)
% 3.71/3.87 Clause #45 (by clausification #[44]): ∀ (a a_1 : Iota), Or (Eq (cC12 a) True) (Or (Eq (rR1 a a_1) False) (Eq (cC10 a_1) False))
% 3.71/3.87 Clause #46 (by superposition #[45, 11]): Or (Eq (cC12 iV21080) True) (Or (Eq (cC10 iV21081) False) (Eq False True))
% 3.71/3.87 Clause #47 (by clausification #[46]): Or (Eq (cC12 iV21080) True) (Eq (cC10 iV21081) False)
% 3.71/3.87 Clause #48 (by forward demodulation #[47, 39]): Or (Eq (cC12 iV21080) True) (Eq True False)
% 3.71/3.87 Clause #49 (by clausification #[48]): Eq (cC12 iV21080) True
% 3.71/3.87 Clause #86 (by clausification #[16]): Eq
% 3.71/3.87 (And
% 3.71/3.87 (And
% 3.71/3.87 (And
% 3.71/3.87 (And
% 3.71/3.87 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.71/3.87 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.71/3.87 (cowlThing iV21080))
% 3.71/3.87 (cC12 iV21080))
% 3.71/3.87 (cC10 iV21081))
% 3.71/3.87 (cowlThing iV21081))
% 3.71/3.87 False
% 3.71/3.87 Clause #87 (by clausification #[86]): Or
% 3.71/3.87 (Eq
% 3.71/3.87 (And
% 3.71/3.87 (And
% 3.71/3.87 (And
% 3.71/3.87 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.71/3.87 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.71/3.87 (cowlThing iV21080))
% 3.71/3.87 (cC12 iV21080))
% 3.71/3.87 (cC10 iV21081))
% 3.71/3.87 False)
% 3.71/3.87 (Eq (cowlThing iV21081) False)
% 3.71/3.90 Clause #88 (by clausification #[87]): Or (Eq (cowlThing iV21081) False)
% 3.71/3.90 (Or
% 3.71/3.90 (Eq
% 3.71/3.90 (And
% 3.71/3.90 (And
% 3.71/3.90 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.71/3.90 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.71/3.90 (cowlThing iV21080))
% 3.71/3.90 (cC12 iV21080))
% 3.71/3.90 False)
% 3.71/3.90 (Eq (cC10 iV21081) False))
% 3.71/3.90 Clause #89 (by clausification #[88]): Or (Eq (cowlThing iV21081) False)
% 3.71/3.90 (Or (Eq (cC10 iV21081) False)
% 3.71/3.90 (Or
% 3.71/3.90 (Eq
% 3.71/3.90 (And
% 3.71/3.90 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.71/3.90 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.71/3.90 (cowlThing iV21080))
% 3.71/3.90 False)
% 3.71/3.90 (Eq (cC12 iV21080) False)))
% 3.71/3.90 Clause #90 (by clausification #[89]): Or (Eq (cowlThing iV21081) False)
% 3.71/3.90 (Or (Eq (cC10 iV21081) False)
% 3.71/3.90 (Or (Eq (cC12 iV21080) False)
% 3.71/3.90 (Or
% 3.71/3.90 (Eq
% 3.71/3.90 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.71/3.90 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.71/3.90 False)
% 3.71/3.90 (Eq (cowlThing iV21080) False))))
% 3.71/3.90 Clause #91 (by clausification #[90]): Or (Eq (cowlThing iV21081) False)
% 3.71/3.90 (Or (Eq (cC10 iV21081) False)
% 3.71/3.90 (Or (Eq (cC12 iV21080) False)
% 3.71/3.90 (Or (Eq (cowlThing iV21080) False)
% 3.71/3.90 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False)
% 3.71/3.90 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)))))
% 3.71/3.90 Clause #92 (by clausification #[91]): ∀ (a : Iota),
% 3.71/3.90 Or (Eq (cowlThing iV21081) False)
% 3.71/3.90 (Or (Eq (cC10 iV21081) False)
% 3.71/3.90 (Or (Eq (cC12 iV21080) False)
% 3.71/3.90 (Or (Eq (cowlThing iV21080) False)
% 3.71/3.90 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)
% 3.71/3.90 (Eq (Not (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a))))) True)))))
% 3.71/3.90 Clause #93 (by clausification #[92]): ∀ (a a_1 : Iota),
% 3.71/3.90 Or (Eq (cowlThing iV21081) False)
% 3.71/3.90 (Or (Eq (cC10 iV21081) False)
% 3.71/3.90 (Or (Eq (cC12 iV21080) False)
% 3.71/3.90 (Or (Eq (cowlThing iV21080) False)
% 3.71/3.90 (Or (Eq (Not (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a))))) True)
% 3.71/3.90 (Eq (Not (Iff (xsd_string (skS.0 1 a_1)) (Not (xsd_integer (skS.0 1 a_1))))) True)))))
% 3.71/3.90 Clause #94 (by clausification #[93]): ∀ (a a_1 : Iota),
% 3.71/3.90 Or (Eq (cowlThing iV21081) False)
% 3.71/3.90 (Or (Eq (cC10 iV21081) False)
% 3.71/3.90 (Or (Eq (cC12 iV21080) False)
% 3.71/3.90 (Or (Eq (cowlThing iV21080) False)
% 3.71/3.90 (Or (Eq (Not (Iff (xsd_string (skS.0 1 a)) (Not (xsd_integer (skS.0 1 a))))) True)
% 3.71/3.90 (Eq (And (cowlThing (skS.0 0 a_1)) (Not (cowlNothing (skS.0 0 a_1)))) False)))))
% 3.71/3.90 Clause #95 (by clausification #[94]): ∀ (a a_1 : Iota),
% 3.71/3.90 Or (Eq (cowlThing iV21081) False)
% 3.71/3.90 (Or (Eq (cC10 iV21081) False)
% 3.71/3.90 (Or (Eq (cC12 iV21080) False)
% 3.71/3.90 (Or (Eq (cowlThing iV21080) False)
% 3.71/3.90 (Or (Eq (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a)))) False)
% 3.71/3.90 (Eq (Iff (xsd_string (skS.0 1 a_1)) (Not (xsd_integer (skS.0 1 a_1)))) False)))))
% 3.71/3.90 Clause #96 (by clausification #[95]): ∀ (a a_1 : Iota),
% 3.71/3.90 Or (Eq (cowlThing iV21081) False)
% 3.71/3.90 (Or (Eq (cC10 iV21081) False)
% 3.71/3.90 (Or (Eq (cC12 iV21080) False)
% 3.71/3.90 (Or (Eq (cowlThing iV21080) False)
% 3.71/3.90 (Or (Eq (Iff (xsd_string (skS.0 1 a)) (Not (xsd_integer (skS.0 1 a)))) False)
% 3.71/3.90 (Or (Eq (cowlThing (skS.0 0 a_1)) False) (Eq (Not (cowlNothing (skS.0 0 a_1))) False))))))
% 3.71/3.90 Clause #97 (by clausification #[96]): ∀ (a a_1 : Iota),
% 3.71/3.90 Or (Eq (cowlThing iV21081) False)
% 3.71/3.90 (Or (Eq (cC10 iV21081) False)
% 3.71/3.90 (Or (Eq (cC12 iV21080) False)
% 3.71/3.90 (Or (Eq (cowlThing iV21080) False)
% 3.71/3.90 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.71/3.90 (Or (Eq (Not (cowlNothing (skS.0 0 a))) False)
% 3.71/3.90 (Or (Eq (xsd_string (skS.0 1 a_1)) False) (Eq (Not (xsd_integer (skS.0 1 a_1))) False)))))))
% 3.71/3.90 Clause #98 (by clausification #[96]): ∀ (a a_1 : Iota),
% 3.71/3.90 Or (Eq (cowlThing iV21081) False)
% 3.71/3.90 (Or (Eq (cC10 iV21081) False)
% 3.71/3.90 (Or (Eq (cC12 iV21080) False)
% 3.71/3.90 (Or (Eq (cowlThing iV21080) False)
% 3.71/3.90 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.71/3.90 (Or (Eq (Not (cowlNothing (skS.0 0 a))) False)
% 3.71/3.92 (Or (Eq (xsd_string (skS.0 1 a_1)) True) (Eq (Not (xsd_integer (skS.0 1 a_1))) True)))))))
% 3.71/3.92 Clause #99 (by clausification #[97]): ∀ (a a_1 : Iota),
% 3.71/3.92 Or (Eq (cowlThing iV21081) False)
% 3.71/3.92 (Or (Eq (cC10 iV21081) False)
% 3.71/3.92 (Or (Eq (cC12 iV21080) False)
% 3.71/3.92 (Or (Eq (cowlThing iV21080) False)
% 3.71/3.92 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.71/3.92 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.71/3.92 (Or (Eq (Not (xsd_integer (skS.0 1 a_1))) False) (Eq (cowlNothing (skS.0 0 a)) True)))))))
% 3.71/3.92 Clause #100 (by clausification #[99]): ∀ (a a_1 : Iota),
% 3.71/3.92 Or (Eq (cowlThing iV21081) False)
% 3.71/3.92 (Or (Eq (cC10 iV21081) False)
% 3.71/3.92 (Or (Eq (cC12 iV21080) False)
% 3.71/3.92 (Or (Eq (cowlThing iV21080) False)
% 3.71/3.92 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.71/3.92 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.71/3.92 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))))))
% 3.71/3.92 Clause #101 (by forward demodulation #[100, 19]): ∀ (a a_1 : Iota),
% 3.71/3.92 Or (Eq True False)
% 3.71/3.92 (Or (Eq (cC10 iV21081) False)
% 3.71/3.92 (Or (Eq (cC12 iV21080) False)
% 3.71/3.92 (Or (Eq (cowlThing iV21080) False)
% 3.71/3.92 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.71/3.92 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.71/3.92 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))))))
% 3.71/3.92 Clause #102 (by clausification #[101]): ∀ (a a_1 : Iota),
% 3.71/3.92 Or (Eq (cC10 iV21081) False)
% 3.71/3.92 (Or (Eq (cC12 iV21080) False)
% 3.71/3.92 (Or (Eq (cowlThing iV21080) False)
% 3.71/3.92 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.71/3.92 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.71/3.92 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))))
% 3.71/3.92 Clause #103 (by forward demodulation #[102, 39]): ∀ (a a_1 : Iota),
% 3.71/3.92 Or (Eq True False)
% 3.71/3.92 (Or (Eq (cC12 iV21080) False)
% 3.71/3.92 (Or (Eq (cowlThing iV21080) False)
% 3.71/3.92 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.71/3.92 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.71/3.92 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))))
% 3.71/3.92 Clause #104 (by clausification #[103]): ∀ (a a_1 : Iota),
% 3.71/3.92 Or (Eq (cC12 iV21080) False)
% 3.71/3.92 (Or (Eq (cowlThing iV21080) False)
% 3.71/3.92 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.71/3.92 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.71/3.92 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))))
% 3.71/3.92 Clause #105 (by forward demodulation #[104, 49]): ∀ (a a_1 : Iota),
% 3.71/3.92 Or (Eq True False)
% 3.71/3.92 (Or (Eq (cowlThing iV21080) False)
% 3.71/3.92 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.71/3.92 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.71/3.92 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))))
% 3.71/3.92 Clause #106 (by clausification #[105]): ∀ (a a_1 : Iota),
% 3.71/3.92 Or (Eq (cowlThing iV21080) False)
% 3.71/3.92 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.71/3.92 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.71/3.92 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))
% 3.71/3.92 Clause #107 (by forward demodulation #[106, 19]): ∀ (a a_1 : Iota),
% 3.71/3.92 Or (Eq True False)
% 3.71/3.92 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.71/3.92 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.71/3.92 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True))))
% 3.71/3.92 Clause #108 (by clausification #[107]): ∀ (a a_1 : Iota),
% 3.71/3.92 Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.71/3.92 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.71/3.92 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))
% 3.71/3.92 Clause #109 (by forward demodulation #[108, 19]): ∀ (a a_1 : Iota),
% 3.71/3.92 Or (Eq True False)
% 3.71/3.92 (Or (Eq (xsd_string (skS.0 1 a)) False)
% 3.71/3.92 (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a)) True)))
% 3.71/3.92 Clause #110 (by clausification #[109]): ∀ (a a_1 : Iota),
% 3.71/3.92 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))
% 3.71/3.92 Clause #133 (by clausification #[98]): ∀ (a a_1 : Iota),
% 3.71/3.92 Or (Eq (cowlThing iV21081) False)
% 3.71/3.92 (Or (Eq (cC10 iV21081) False)
% 3.71/3.92 (Or (Eq (cC12 iV21080) False)
% 3.71/3.92 (Or (Eq (cowlThing iV21080) False)
% 3.71/3.94 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.71/3.94 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.71/3.94 (Or (Eq (Not (xsd_integer (skS.0 1 a_1))) True) (Eq (cowlNothing (skS.0 0 a)) True)))))))
% 3.71/3.94 Clause #134 (by clausification #[133]): ∀ (a a_1 : Iota),
% 3.71/3.94 Or (Eq (cowlThing iV21081) False)
% 3.71/3.94 (Or (Eq (cC10 iV21081) False)
% 3.71/3.94 (Or (Eq (cC12 iV21080) False)
% 3.71/3.94 (Or (Eq (cowlThing iV21080) False)
% 3.71/3.94 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.71/3.94 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.71/3.94 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))))))
% 3.71/3.94 Clause #135 (by forward demodulation #[134, 19]): ∀ (a a_1 : Iota),
% 3.71/3.94 Or (Eq True False)
% 3.71/3.94 (Or (Eq (cC10 iV21081) False)
% 3.71/3.94 (Or (Eq (cC12 iV21080) False)
% 3.71/3.94 (Or (Eq (cowlThing iV21080) False)
% 3.71/3.94 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.71/3.94 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.71/3.94 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))))))
% 3.71/3.94 Clause #136 (by clausification #[135]): ∀ (a a_1 : Iota),
% 3.71/3.94 Or (Eq (cC10 iV21081) False)
% 3.71/3.94 (Or (Eq (cC12 iV21080) False)
% 3.71/3.94 (Or (Eq (cowlThing iV21080) False)
% 3.71/3.94 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.71/3.94 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.71/3.94 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))))
% 3.71/3.94 Clause #137 (by forward demodulation #[136, 39]): ∀ (a a_1 : Iota),
% 3.71/3.94 Or (Eq True False)
% 3.71/3.94 (Or (Eq (cC12 iV21080) False)
% 3.71/3.94 (Or (Eq (cowlThing iV21080) False)
% 3.71/3.94 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.71/3.94 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.71/3.94 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))))
% 3.71/3.94 Clause #138 (by clausification #[137]): ∀ (a a_1 : Iota),
% 3.71/3.94 Or (Eq (cC12 iV21080) False)
% 3.71/3.94 (Or (Eq (cowlThing iV21080) False)
% 3.71/3.94 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.71/3.94 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.71/3.94 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))))
% 3.71/3.94 Clause #139 (by forward demodulation #[138, 49]): ∀ (a a_1 : Iota),
% 3.71/3.94 Or (Eq True False)
% 3.71/3.94 (Or (Eq (cowlThing iV21080) False)
% 3.71/3.94 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.71/3.94 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.71/3.94 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))))
% 3.71/3.94 Clause #140 (by clausification #[139]): ∀ (a a_1 : Iota),
% 3.71/3.94 Or (Eq (cowlThing iV21080) False)
% 3.71/3.94 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.71/3.94 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.71/3.94 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))
% 3.71/3.94 Clause #141 (by forward demodulation #[140, 19]): ∀ (a a_1 : Iota),
% 3.71/3.94 Or (Eq True False)
% 3.71/3.94 (Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.71/3.94 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.71/3.94 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))))
% 3.71/3.94 Clause #142 (by clausification #[141]): ∀ (a a_1 : Iota),
% 3.71/3.94 Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.71/3.94 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.71/3.94 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))
% 3.71/3.94 Clause #143 (by forward demodulation #[142, 19]): ∀ (a a_1 : Iota),
% 3.71/3.94 Or (Eq True False)
% 3.71/3.94 (Or (Eq (xsd_string (skS.0 1 a)) True)
% 3.71/3.94 (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a)) False)))
% 3.71/3.94 Clause #144 (by clausification #[143]): ∀ (a a_1 : Iota),
% 3.71/3.94 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))
% 3.71/3.94 Clause #145 (by superposition #[144, 30]): ∀ (a a_1 : Iota),
% 3.71/3.94 Or (Eq (xsd_string (skS.0 1 a)) True)
% 3.71/3.94 (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Or (Eq (xsd_string (skS.0 1 a)) True) (Eq False True)))
% 3.71/3.94 Clause #152 (by clausification #[145]): ∀ (a a_1 : Iota),
% 3.71/3.94 Or (Eq (xsd_string (skS.0 1 a)) True) (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_string (skS.0 1 a)) True))
% 3.71/3.94 Clause #153 (by eliminate duplicate literals #[152]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 1 a)) True) (Eq (cowlNothing (skS.0 0 a_1)) True)
% 3.79/3.95 Clause #154 (by superposition #[153, 110]): ∀ (a a_1 a_2 : Iota),
% 3.79/3.95 Or (Eq (cowlNothing (skS.0 0 a)) True)
% 3.79/3.95 (Or (Eq True False) (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a_2)) True)))
% 3.79/3.95 Clause #156 (by superposition #[153, 20]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 1 a)) True) (Eq True False)
% 3.79/3.95 Clause #157 (by clausification #[156]): ∀ (a : Iota), Eq (xsd_string (skS.0 1 a)) True
% 3.79/3.95 Clause #159 (by superposition #[157, 31]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 1 a)) False)
% 3.79/3.95 Clause #160 (by clausification #[154]): ∀ (a a_1 a_2 : Iota),
% 3.79/3.95 Or (Eq (cowlNothing (skS.0 0 a)) True)
% 3.79/3.95 (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq (xsd_integer (skS.0 1 a_2)) True))
% 3.79/3.95 Clause #162 (by equality factoring #[160]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 1 a)) True) (Or (Ne True True) (Eq (cowlNothing (skS.0 0 a_1)) True))
% 3.79/3.95 Clause #163 (by clausification #[159]): ∀ (a : Iota), Eq (xsd_integer (skS.0 1 a)) False
% 3.79/3.95 Clause #167 (by clausification #[162]): ∀ (a a_1 : Iota),
% 3.79/3.95 Or (Eq (xsd_integer (skS.0 1 a)) True) (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Or (Eq True False) (Eq True False)))
% 3.79/3.95 Clause #169 (by clausification #[167]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 1 a)) True) (Or (Eq (cowlNothing (skS.0 0 a_1)) True) (Eq True False))
% 3.79/3.95 Clause #170 (by clausification #[169]): ∀ (a a_1 : Iota), Or (Eq (xsd_integer (skS.0 1 a)) True) (Eq (cowlNothing (skS.0 0 a_1)) True)
% 3.79/3.95 Clause #172 (by superposition #[170, 20]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 1 a)) True) (Eq True False)
% 3.79/3.95 Clause #173 (by clausification #[172]): ∀ (a : Iota), Eq (xsd_integer (skS.0 1 a)) True
% 3.79/3.95 Clause #174 (by superposition #[173, 163]): Eq True False
% 3.79/3.95 Clause #176 (by clausification #[174]): False
% 3.79/3.95 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------