TSTP Solution File: KRS129+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KRS129+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n023.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 05:43:26 EDT 2023
% Result : Theorem 3.86s 4.02s
% Output : Proof 3.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS129+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 02:18:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.86/4.02 SZS status Theorem for theBenchmark.p
% 3.86/4.02 SZS output start Proof for theBenchmark.p
% 3.86/4.02 Clause #12 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True
% 3.86/4.02 Clause #13 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True
% 3.86/4.02 Clause #15 (by assumption #[]): Eq (∀ (X : Iota), Iff (cEuroMP X) (Exists fun Y => And (risEuroMPFrom X Y) (cowlThing Y))) True
% 3.86/4.02 Clause #17 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (risEuroMPFrom X Y) (rhasEuroMP Y X)) True
% 3.86/4.02 Clause #25 (by assumption #[]): Eq (rhasEuroMP iUK iKinnock) True
% 3.86/4.02 Clause #26 (by assumption #[]): Eq
% 3.86/4.02 (Not
% 3.86/4.02 (And
% 3.86/4.02 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.86/4.02 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.86/4.02 (cEuroMP iKinnock)))
% 3.86/4.02 True
% 3.86/4.02 Clause #93 (by clausification #[13]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True
% 3.86/4.02 Clause #94 (by clausification #[93]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False)
% 3.86/4.02 Clause #95 (by clausification #[93]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True)
% 3.86/4.02 Clause #96 (by clausification #[94]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True)
% 3.86/4.02 Clause #97 (by clausification #[95]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False)
% 3.86/4.02 Clause #98 (by clausification #[12]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True
% 3.86/4.02 Clause #99 (by clausification #[98]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True
% 3.86/4.02 Clause #100 (by clausification #[98]): ∀ (a : Iota), Eq (cowlThing a) True
% 3.86/4.02 Clause #101 (by clausification #[99]): ∀ (a : Iota), Eq (cowlNothing a) False
% 3.86/4.02 Clause #115 (by clausification #[17]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (risEuroMPFrom a Y) (rhasEuroMP Y a)) True
% 3.86/4.02 Clause #116 (by clausification #[115]): ∀ (a a_1 : Iota), Eq (Iff (risEuroMPFrom a a_1) (rhasEuroMP a_1 a)) True
% 3.86/4.02 Clause #117 (by clausification #[116]): ∀ (a a_1 : Iota), Or (Eq (risEuroMPFrom a a_1) True) (Eq (rhasEuroMP a_1 a) False)
% 3.86/4.02 Clause #119 (by superposition #[117, 25]): Or (Eq (risEuroMPFrom iKinnock iUK) True) (Eq False True)
% 3.86/4.02 Clause #120 (by clausification #[119]): Eq (risEuroMPFrom iKinnock iUK) True
% 3.86/4.02 Clause #129 (by clausification #[15]): ∀ (a : Iota), Eq (Iff (cEuroMP a) (Exists fun Y => And (risEuroMPFrom a Y) (cowlThing Y))) True
% 3.86/4.02 Clause #130 (by clausification #[129]): ∀ (a : Iota), Or (Eq (cEuroMP a) True) (Eq (Exists fun Y => And (risEuroMPFrom a Y) (cowlThing Y)) False)
% 3.86/4.02 Clause #132 (by clausification #[130]): ∀ (a a_1 : Iota), Or (Eq (cEuroMP a) True) (Eq (And (risEuroMPFrom a a_1) (cowlThing a_1)) False)
% 3.86/4.02 Clause #133 (by clausification #[132]): ∀ (a a_1 : Iota), Or (Eq (cEuroMP a) True) (Or (Eq (risEuroMPFrom a a_1) False) (Eq (cowlThing a_1) False))
% 3.86/4.02 Clause #134 (by forward demodulation #[133, 100]): ∀ (a a_1 : Iota), Or (Eq (cEuroMP a) True) (Or (Eq (risEuroMPFrom a a_1) False) (Eq True False))
% 3.86/4.02 Clause #135 (by clausification #[134]): ∀ (a a_1 : Iota), Or (Eq (cEuroMP a) True) (Eq (risEuroMPFrom a a_1) False)
% 3.86/4.02 Clause #136 (by superposition #[135, 120]): Or (Eq (cEuroMP iKinnock) True) (Eq False True)
% 3.86/4.02 Clause #137 (by clausification #[136]): Eq (cEuroMP iKinnock) True
% 3.86/4.02 Clause #142 (by clausification #[26]): Eq
% 3.86/4.02 (And
% 3.86/4.02 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.86/4.02 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.86/4.02 (cEuroMP iKinnock))
% 3.86/4.02 False
% 3.86/4.02 Clause #143 (by clausification #[142]): Or
% 3.86/4.02 (Eq
% 3.86/4.02 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.86/4.02 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.86/4.02 False)
% 3.86/4.02 (Eq (cEuroMP iKinnock) False)
% 3.86/4.02 Clause #144 (by clausification #[143]): Or (Eq (cEuroMP iKinnock) False)
% 3.86/4.02 (Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False)
% 3.86/4.02 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False))
% 3.86/4.02 Clause #145 (by clausification #[144]): ∀ (a : Iota),
% 3.86/4.02 Or (Eq (cEuroMP iKinnock) False)
% 3.86/4.02 (Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)
% 3.86/4.02 (Eq (Not (And (cowlThing (skS.0 1 a)) (Not (cowlNothing (skS.0 1 a))))) True))
% 3.88/4.05 Clause #146 (by clausification #[145]): ∀ (a a_1 : Iota),
% 3.88/4.05 Or (Eq (cEuroMP iKinnock) False)
% 3.88/4.05 (Or (Eq (Not (And (cowlThing (skS.0 1 a)) (Not (cowlNothing (skS.0 1 a))))) True)
% 3.88/4.05 (Eq (Not (Iff (xsd_string (skS.0 2 a_1)) (Not (xsd_integer (skS.0 2 a_1))))) True))
% 3.88/4.05 Clause #147 (by clausification #[146]): ∀ (a a_1 : Iota),
% 3.88/4.05 Or (Eq (cEuroMP iKinnock) False)
% 3.88/4.05 (Or (Eq (Not (Iff (xsd_string (skS.0 2 a)) (Not (xsd_integer (skS.0 2 a))))) True)
% 3.88/4.05 (Eq (And (cowlThing (skS.0 1 a_1)) (Not (cowlNothing (skS.0 1 a_1)))) False))
% 3.88/4.05 Clause #148 (by clausification #[147]): ∀ (a a_1 : Iota),
% 3.88/4.05 Or (Eq (cEuroMP iKinnock) False)
% 3.88/4.05 (Or (Eq (And (cowlThing (skS.0 1 a)) (Not (cowlNothing (skS.0 1 a)))) False)
% 3.88/4.05 (Eq (Iff (xsd_string (skS.0 2 a_1)) (Not (xsd_integer (skS.0 2 a_1)))) False))
% 3.88/4.05 Clause #149 (by clausification #[148]): ∀ (a a_1 : Iota),
% 3.88/4.05 Or (Eq (cEuroMP iKinnock) False)
% 3.88/4.05 (Or (Eq (Iff (xsd_string (skS.0 2 a)) (Not (xsd_integer (skS.0 2 a)))) False)
% 3.88/4.05 (Or (Eq (cowlThing (skS.0 1 a_1)) False) (Eq (Not (cowlNothing (skS.0 1 a_1))) False)))
% 3.88/4.05 Clause #150 (by clausification #[149]): ∀ (a a_1 : Iota),
% 3.88/4.05 Or (Eq (cEuroMP iKinnock) False)
% 3.88/4.05 (Or (Eq (cowlThing (skS.0 1 a)) False)
% 3.88/4.05 (Or (Eq (Not (cowlNothing (skS.0 1 a))) False)
% 3.88/4.05 (Or (Eq (xsd_string (skS.0 2 a_1)) False) (Eq (Not (xsd_integer (skS.0 2 a_1))) False))))
% 3.88/4.05 Clause #151 (by clausification #[149]): ∀ (a a_1 : Iota),
% 3.88/4.05 Or (Eq (cEuroMP iKinnock) False)
% 3.88/4.05 (Or (Eq (cowlThing (skS.0 1 a)) False)
% 3.88/4.05 (Or (Eq (Not (cowlNothing (skS.0 1 a))) False)
% 3.88/4.05 (Or (Eq (xsd_string (skS.0 2 a_1)) True) (Eq (Not (xsd_integer (skS.0 2 a_1))) True))))
% 3.88/4.05 Clause #152 (by clausification #[150]): ∀ (a a_1 : Iota),
% 3.88/4.05 Or (Eq (cEuroMP iKinnock) False)
% 3.88/4.05 (Or (Eq (cowlThing (skS.0 1 a)) False)
% 3.88/4.05 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 3.88/4.05 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) False) (Eq (cowlNothing (skS.0 1 a)) True))))
% 3.88/4.05 Clause #153 (by clausification #[152]): ∀ (a a_1 : Iota),
% 3.88/4.05 Or (Eq (cEuroMP iKinnock) False)
% 3.88/4.05 (Or (Eq (cowlThing (skS.0 1 a)) False)
% 3.88/4.05 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 3.88/4.05 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True))))
% 3.88/4.05 Clause #154 (by forward demodulation #[153, 137]): ∀ (a a_1 : Iota),
% 3.88/4.05 Or (Eq True False)
% 3.88/4.05 (Or (Eq (cowlThing (skS.0 1 a)) False)
% 3.88/4.05 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 3.88/4.05 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True))))
% 3.88/4.05 Clause #155 (by clausification #[154]): ∀ (a a_1 : Iota),
% 3.88/4.05 Or (Eq (cowlThing (skS.0 1 a)) False)
% 3.88/4.05 (Or (Eq (xsd_string (skS.0 2 a_1)) False)
% 3.88/4.05 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True)))
% 3.88/4.05 Clause #156 (by forward demodulation #[155, 100]): ∀ (a a_1 : Iota),
% 3.88/4.05 Or (Eq True False)
% 3.88/4.05 (Or (Eq (xsd_string (skS.0 2 a)) False)
% 3.88/4.05 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 2 a)) True)))
% 3.88/4.05 Clause #157 (by clausification #[156]): ∀ (a a_1 : Iota),
% 3.88/4.05 Or (Eq (xsd_string (skS.0 2 a)) False) (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 2 a)) True))
% 3.88/4.05 Clause #192 (by clausification #[151]): ∀ (a a_1 : Iota),
% 3.88/4.05 Or (Eq (cEuroMP iKinnock) False)
% 3.88/4.05 (Or (Eq (cowlThing (skS.0 1 a)) False)
% 3.88/4.05 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 3.88/4.05 (Or (Eq (Not (xsd_integer (skS.0 2 a_1))) True) (Eq (cowlNothing (skS.0 1 a)) True))))
% 3.88/4.05 Clause #193 (by clausification #[192]): ∀ (a a_1 : Iota),
% 3.88/4.05 Or (Eq (cEuroMP iKinnock) False)
% 3.88/4.05 (Or (Eq (cowlThing (skS.0 1 a)) False)
% 3.88/4.05 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 3.88/4.05 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) False))))
% 3.88/4.05 Clause #194 (by forward demodulation #[193, 137]): ∀ (a a_1 : Iota),
% 3.88/4.05 Or (Eq True False)
% 3.88/4.05 (Or (Eq (cowlThing (skS.0 1 a)) False)
% 3.88/4.05 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 3.88/4.05 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) False))))
% 3.88/4.05 Clause #195 (by clausification #[194]): ∀ (a a_1 : Iota),
% 3.88/4.05 Or (Eq (cowlThing (skS.0 1 a)) False)
% 3.88/4.05 (Or (Eq (xsd_string (skS.0 2 a_1)) True)
% 3.88/4.06 (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) False)))
% 3.88/4.06 Clause #196 (by forward demodulation #[195, 100]): ∀ (a a_1 : Iota),
% 3.88/4.06 Or (Eq True False)
% 3.88/4.06 (Or (Eq (xsd_string (skS.0 2 a)) True)
% 3.88/4.06 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 2 a)) False)))
% 3.88/4.06 Clause #197 (by clausification #[196]): ∀ (a a_1 : Iota),
% 3.88/4.06 Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 2 a)) False))
% 3.88/4.06 Clause #198 (by superposition #[197, 96]): ∀ (a a_1 : Iota),
% 3.88/4.06 Or (Eq (xsd_string (skS.0 2 a)) True)
% 3.88/4.06 (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Or (Eq (xsd_string (skS.0 2 a)) True) (Eq False True)))
% 3.88/4.06 Clause #205 (by clausification #[198]): ∀ (a a_1 : Iota),
% 3.88/4.06 Or (Eq (xsd_string (skS.0 2 a)) True) (Or (Eq (cowlNothing (skS.0 1 a_1)) True) (Eq (xsd_string (skS.0 2 a)) True))
% 3.88/4.06 Clause #206 (by eliminate duplicate literals #[205]): ∀ (a a_1 : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq (cowlNothing (skS.0 1 a_1)) True)
% 3.88/4.06 Clause #209 (by superposition #[206, 101]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 2 a)) True) (Eq True False)
% 3.88/4.06 Clause #210 (by clausification #[209]): ∀ (a : Iota), Eq (xsd_string (skS.0 2 a)) True
% 3.88/4.06 Clause #211 (by backward demodulation #[210, 157]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True))
% 3.88/4.06 Clause #212 (by superposition #[210, 97]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 2 a)) False)
% 3.88/4.06 Clause #213 (by clausification #[212]): ∀ (a : Iota), Eq (xsd_integer (skS.0 2 a)) False
% 3.88/4.06 Clause #224 (by clausification #[211]): ∀ (a a_1 : Iota), Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 2 a_1)) True)
% 3.88/4.06 Clause #226 (by superposition #[224, 213]): ∀ (a : Iota), Or (Eq (cowlNothing (skS.0 1 a)) True) (Eq True False)
% 3.88/4.06 Clause #227 (by clausification #[226]): ∀ (a : Iota), Eq (cowlNothing (skS.0 1 a)) True
% 3.88/4.06 Clause #228 (by superposition #[227, 101]): Eq True False
% 3.88/4.06 Clause #229 (by clausification #[228]): False
% 3.88/4.06 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------