TSTP Solution File: KRS136+1 by Duper---1.0
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% File : Duper---1.0
% Problem : KRS136+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n018.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 05:43:28 EDT 2023
% Result : Theorem 3.41s 3.69s
% Output : Proof 3.54s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS136+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n018.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 02:16:01 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.41/3.69 SZS status Theorem for theBenchmark.p
% 3.41/3.69 SZS output start Proof for theBenchmark.p
% 3.41/3.69 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True
% 3.41/3.69 Clause #1 (by assumption #[]): Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) True
% 3.41/3.69 Clause #2 (by assumption #[]): Eq
% 3.41/3.69 (Not
% 3.41/3.69 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X)))
% 3.41/3.69 (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X)))))
% 3.41/3.69 True
% 3.41/3.69 Clause #3 (by clausification #[1]): ∀ (a : Iota), Eq (Iff (xsd_string a) (Not (xsd_integer a))) True
% 3.41/3.69 Clause #4 (by clausification #[3]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (Not (xsd_integer a)) False)
% 3.41/3.69 Clause #5 (by clausification #[3]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (Not (xsd_integer a)) True)
% 3.41/3.69 Clause #6 (by clausification #[4]): ∀ (a : Iota), Or (Eq (xsd_string a) True) (Eq (xsd_integer a) True)
% 3.41/3.69 Clause #7 (by clausification #[5]): ∀ (a : Iota), Or (Eq (xsd_string a) False) (Eq (xsd_integer a) False)
% 3.41/3.69 Clause #9 (by clausification #[0]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True
% 3.41/3.69 Clause #10 (by clausification #[9]): ∀ (a : Iota), Eq (Not (cowlNothing a)) True
% 3.41/3.69 Clause #11 (by clausification #[9]): ∀ (a : Iota), Eq (cowlThing a) True
% 3.41/3.69 Clause #12 (by clausification #[10]): ∀ (a : Iota), Eq (cowlNothing a) False
% 3.41/3.69 Clause #14 (by clausification #[2]): Eq
% 3.41/3.69 (And (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))))
% 3.41/3.69 False
% 3.41/3.69 Clause #15 (by clausification #[14]): Or (Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) False)
% 3.41/3.69 (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)
% 3.41/3.69 Clause #16 (by clausification #[15]): ∀ (a : Iota),
% 3.41/3.69 Or (Eq (∀ (X : Iota), Iff (xsd_string X) (Not (xsd_integer X))) False)
% 3.41/3.69 (Eq (Not (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a))))) True)
% 3.41/3.69 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota),
% 3.41/3.69 Or (Eq (Not (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a))))) True)
% 3.41/3.69 (Eq (Not (Iff (xsd_string (skS.0 1 a_1)) (Not (xsd_integer (skS.0 1 a_1))))) True)
% 3.41/3.69 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota),
% 3.41/3.69 Or (Eq (Not (Iff (xsd_string (skS.0 1 a)) (Not (xsd_integer (skS.0 1 a))))) True)
% 3.41/3.69 (Eq (And (cowlThing (skS.0 0 a_1)) (Not (cowlNothing (skS.0 0 a_1)))) False)
% 3.41/3.69 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota),
% 3.41/3.69 Or (Eq (And (cowlThing (skS.0 0 a)) (Not (cowlNothing (skS.0 0 a)))) False)
% 3.41/3.69 (Eq (Iff (xsd_string (skS.0 1 a_1)) (Not (xsd_integer (skS.0 1 a_1)))) False)
% 3.41/3.69 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota),
% 3.41/3.69 Or (Eq (Iff (xsd_string (skS.0 1 a)) (Not (xsd_integer (skS.0 1 a)))) False)
% 3.41/3.69 (Or (Eq (cowlThing (skS.0 0 a_1)) False) (Eq (Not (cowlNothing (skS.0 0 a_1))) False))
% 3.41/3.69 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota),
% 3.41/3.69 Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.41/3.69 (Or (Eq (Not (cowlNothing (skS.0 0 a))) False)
% 3.41/3.69 (Or (Eq (xsd_string (skS.0 1 a_1)) False) (Eq (Not (xsd_integer (skS.0 1 a_1))) False)))
% 3.41/3.69 Clause #22 (by clausification #[20]): ∀ (a a_1 : Iota),
% 3.41/3.69 Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.41/3.69 (Or (Eq (Not (cowlNothing (skS.0 0 a))) False)
% 3.41/3.69 (Or (Eq (xsd_string (skS.0 1 a_1)) True) (Eq (Not (xsd_integer (skS.0 1 a_1))) True)))
% 3.41/3.69 Clause #23 (by clausification #[21]): ∀ (a a_1 : Iota),
% 3.41/3.69 Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.41/3.69 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.41/3.69 (Or (Eq (Not (xsd_integer (skS.0 1 a_1))) False) (Eq (cowlNothing (skS.0 0 a)) True)))
% 3.41/3.69 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota),
% 3.41/3.69 Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.41/3.69 (Or (Eq (xsd_string (skS.0 1 a_1)) False)
% 3.41/3.69 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) True)))
% 3.41/3.69 Clause #25 (by forward demodulation #[24, 12]): ∀ (a a_1 : Iota),
% 3.41/3.69 Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.41/3.69 (Or (Eq (xsd_string (skS.0 1 a_1)) False) (Or (Eq False True) (Eq (xsd_integer (skS.0 1 a_1)) True)))
% 3.41/3.69 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota),
% 3.41/3.69 Or (Eq (cowlThing (skS.0 0 a)) False) (Or (Eq (xsd_string (skS.0 1 a_1)) False) (Eq (xsd_integer (skS.0 1 a_1)) True))
% 3.54/3.71 Clause #27 (by superposition #[26, 11]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 1 a)) False) (Or (Eq (xsd_integer (skS.0 1 a)) True) (Eq False True))
% 3.54/3.71 Clause #28 (by clausification #[27]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 1 a)) False) (Eq (xsd_integer (skS.0 1 a)) True)
% 3.54/3.71 Clause #29 (by superposition #[28, 6]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 1 a)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 1 a)) True))
% 3.54/3.71 Clause #30 (by clausification #[29]): ∀ (a : Iota), Or (Eq (xsd_integer (skS.0 1 a)) True) (Eq (xsd_integer (skS.0 1 a)) True)
% 3.54/3.71 Clause #31 (by eliminate duplicate literals #[30]): ∀ (a : Iota), Eq (xsd_integer (skS.0 1 a)) True
% 3.54/3.71 Clause #33 (by clausification #[22]): ∀ (a a_1 : Iota),
% 3.54/3.71 Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.54/3.71 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.54/3.71 (Or (Eq (Not (xsd_integer (skS.0 1 a_1))) True) (Eq (cowlNothing (skS.0 0 a)) True)))
% 3.54/3.71 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota),
% 3.54/3.71 Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.54/3.71 (Or (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.54/3.71 (Or (Eq (cowlNothing (skS.0 0 a)) True) (Eq (xsd_integer (skS.0 1 a_1)) False)))
% 3.54/3.71 Clause #35 (by forward demodulation #[34, 12]): ∀ (a a_1 : Iota),
% 3.54/3.71 Or (Eq (cowlThing (skS.0 0 a)) False)
% 3.54/3.71 (Or (Eq (xsd_string (skS.0 1 a_1)) True) (Or (Eq False True) (Eq (xsd_integer (skS.0 1 a_1)) False)))
% 3.54/3.71 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota),
% 3.54/3.71 Or (Eq (cowlThing (skS.0 0 a)) False) (Or (Eq (xsd_string (skS.0 1 a_1)) True) (Eq (xsd_integer (skS.0 1 a_1)) False))
% 3.54/3.71 Clause #37 (by forward demodulation #[36, 31]): ∀ (a a_1 : Iota), Or (Eq (cowlThing (skS.0 0 a)) False) (Or (Eq (xsd_string (skS.0 1 a_1)) True) (Eq True False))
% 3.54/3.71 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota), Or (Eq (cowlThing (skS.0 0 a)) False) (Eq (xsd_string (skS.0 1 a_1)) True)
% 3.54/3.71 Clause #39 (by superposition #[38, 11]): ∀ (a : Iota), Or (Eq (xsd_string (skS.0 1 a)) True) (Eq False True)
% 3.54/3.71 Clause #40 (by clausification #[39]): ∀ (a : Iota), Eq (xsd_string (skS.0 1 a)) True
% 3.54/3.71 Clause #41 (by superposition #[40, 7]): ∀ (a : Iota), Or (Eq True False) (Eq (xsd_integer (skS.0 1 a)) False)
% 3.54/3.71 Clause #42 (by clausification #[41]): ∀ (a : Iota), Eq (xsd_integer (skS.0 1 a)) False
% 3.54/3.71 Clause #43 (by superposition #[42, 31]): Eq False True
% 3.54/3.71 Clause #44 (by clausification #[43]): False
% 3.54/3.71 SZS output end Proof for theBenchmark.p
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