TSTP Solution File: NUN087+2 by Duper---1.0
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% File : Duper---1.0
% Problem : NUN087+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n013.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 12:47:24 EDT 2023
% Result : Theorem 6.50s 6.67s
% Output : Proof 6.52s
% 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 : NUN087+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 09:22:47 EDT 2023
% 0.14/0.34 % CPUTime :
% 6.50/6.67 SZS status Theorem for theBenchmark.p
% 6.50/6.67 SZS output start Proof for theBenchmark.p
% 6.50/6.67 Clause #0 (by assumption #[]): Eq (Exists fun Y24 => ∀ (X19 : Iota), Or (And (Not (r1 X19)) (Ne X19 Y24)) (And (r1 X19) (Eq X19 Y24))) True
% 6.50/6.67 Clause #8 (by assumption #[]): Eq
% 6.50/6.67 (∀ (X5 : Iota),
% 6.50/6.67 Exists fun Y8 => And (Exists fun Y17 => And (r1 Y17) (r4 X5 Y17 Y8)) (Exists fun Y18 => And (r1 Y18) (Eq Y8 Y18)))
% 6.50/6.67 True
% 6.50/6.67 Clause #11 (by assumption #[]): Eq (Not (Exists fun Y1 => And (Exists fun Y2 => And (r1 Y2) (r4 Y2 Y2 Y1)) (Exists fun Y3 => And (r1 Y3) (Eq Y1 Y3))))
% 6.50/6.67 True
% 6.50/6.67 Clause #30 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (X19 : Iota), Or (And (Not (r1 X19)) (Ne X19 (skS.0 2 a))) (And (r1 X19) (Eq X19 (skS.0 2 a)))) True
% 6.50/6.67 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota), Eq (Or (And (Not (r1 a)) (Ne a (skS.0 2 a_1))) (And (r1 a) (Eq a (skS.0 2 a_1)))) True
% 6.50/6.67 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Or (Eq (And (Not (r1 a)) (Ne a (skS.0 2 a_1))) True) (Eq (And (r1 a) (Eq a (skS.0 2 a_1))) True)
% 6.50/6.67 Clause #34 (by clausification #[32]): ∀ (a a_1 : Iota), Or (Eq (And (r1 a) (Eq a (skS.0 2 a_1))) True) (Eq (Not (r1 a)) True)
% 6.50/6.67 Clause #55 (by clausification #[34]): ∀ (a a_1 : Iota), Or (Eq (Not (r1 a)) True) (Eq (Eq a (skS.0 2 a_1)) True)
% 6.50/6.67 Clause #57 (by clausification #[55]): ∀ (a a_1 : Iota), Or (Eq (Eq a (skS.0 2 a_1)) True) (Eq (r1 a) False)
% 6.50/6.67 Clause #58 (by clausification #[57]): ∀ (a a_1 : Iota), Or (Eq (r1 a) False) (Eq a (skS.0 2 a_1))
% 6.50/6.67 Clause #148 (by clausification #[8]): ∀ (a : Iota),
% 6.50/6.67 Eq (Exists fun Y8 => And (Exists fun Y17 => And (r1 Y17) (r4 a Y17 Y8)) (Exists fun Y18 => And (r1 Y18) (Eq Y8 Y18)))
% 6.50/6.67 True
% 6.50/6.67 Clause #149 (by clausification #[148]): ∀ (a a_1 : Iota),
% 6.50/6.67 Eq
% 6.50/6.67 (And (Exists fun Y17 => And (r1 Y17) (r4 a Y17 (skS.0 10 a a_1)))
% 6.50/6.67 (Exists fun Y18 => And (r1 Y18) (Eq (skS.0 10 a a_1) Y18)))
% 6.50/6.67 True
% 6.50/6.67 Clause #150 (by clausification #[149]): ∀ (a a_1 : Iota), Eq (Exists fun Y18 => And (r1 Y18) (Eq (skS.0 10 a a_1) Y18)) True
% 6.50/6.67 Clause #151 (by clausification #[149]): ∀ (a a_1 : Iota), Eq (Exists fun Y17 => And (r1 Y17) (r4 a Y17 (skS.0 10 a a_1))) True
% 6.50/6.67 Clause #152 (by clausification #[150]): ∀ (a a_1 a_2 : Iota), Eq (And (r1 (skS.0 11 a a_1 a_2)) (Eq (skS.0 10 a a_1) (skS.0 11 a a_1 a_2))) True
% 6.50/6.67 Clause #153 (by clausification #[152]): ∀ (a a_1 a_2 : Iota), Eq (Eq (skS.0 10 a a_1) (skS.0 11 a a_1 a_2)) True
% 6.50/6.67 Clause #154 (by clausification #[152]): ∀ (a a_1 a_2 : Iota), Eq (r1 (skS.0 11 a a_1 a_2)) True
% 6.50/6.67 Clause #155 (by clausification #[153]): ∀ (a a_1 a_2 : Iota), Eq (skS.0 10 a a_1) (skS.0 11 a a_1 a_2)
% 6.50/6.67 Clause #156 (by forward demodulation #[154, 155]): ∀ (a a_1 : Iota), Eq (r1 (skS.0 10 a a_1)) True
% 6.50/6.67 Clause #157 (by superposition #[156, 58]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (skS.0 10 a a_1) (skS.0 2 a_2))
% 6.50/6.67 Clause #158 (by clausification #[157]): ∀ (a a_1 a_2 : Iota), Eq (skS.0 10 a a_1) (skS.0 2 a_2)
% 6.50/6.67 Clause #161 (by superposition #[158, 158]): ∀ (a a_1 a_2 a_3 : Iota), Eq (skS.0 10 a a_1) (skS.0 10 a_2 a_3)
% 6.50/6.67 Clause #173 (by clausification #[151]): ∀ (a a_1 a_2 : Iota), Eq (And (r1 (skS.0 15 a a_1 a_2)) (r4 a (skS.0 15 a a_1 a_2) (skS.0 10 a a_1))) True
% 6.50/6.67 Clause #174 (by clausification #[173]): ∀ (a a_1 a_2 : Iota), Eq (r4 a (skS.0 15 a a_1 a_2) (skS.0 10 a a_1)) True
% 6.50/6.67 Clause #175 (by clausification #[173]): ∀ (a a_1 a_2 : Iota), Eq (r1 (skS.0 15 a a_1 a_2)) True
% 6.50/6.67 Clause #177 (by superposition #[174, 161]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (r4 a (skS.0 15 a a_1 a_2) (skS.0 10 a_3 a_4)) True
% 6.50/6.67 Clause #178 (by superposition #[175, 58]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Eq (skS.0 15 a a_1 a_2) (skS.0 2 a_3))
% 6.50/6.67 Clause #179 (by clausification #[178]): ∀ (a a_1 a_2 a_3 : Iota), Eq (skS.0 15 a a_1 a_2) (skS.0 2 a_3)
% 6.50/6.67 Clause #182 (by superposition #[179, 179]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (skS.0 15 a a_1 a_2) (skS.0 15 a_3 a_4 a_5)
% 6.50/6.67 Clause #183 (by clausification #[11]): Eq (Exists fun Y1 => And (Exists fun Y2 => And (r1 Y2) (r4 Y2 Y2 Y1)) (Exists fun Y3 => And (r1 Y3) (Eq Y1 Y3))) False
% 6.50/6.67 Clause #184 (by clausification #[183]): ∀ (a : Iota), Eq (And (Exists fun Y2 => And (r1 Y2) (r4 Y2 Y2 a)) (Exists fun Y3 => And (r1 Y3) (Eq a Y3))) False
% 6.52/6.68 Clause #185 (by clausification #[184]): ∀ (a : Iota),
% 6.52/6.68 Or (Eq (Exists fun Y2 => And (r1 Y2) (r4 Y2 Y2 a)) False) (Eq (Exists fun Y3 => And (r1 Y3) (Eq a Y3)) False)
% 6.52/6.68 Clause #186 (by clausification #[185]): ∀ (a a_1 : Iota), Or (Eq (Exists fun Y3 => And (r1 Y3) (Eq a Y3)) False) (Eq (And (r1 a_1) (r4 a_1 a_1 a)) False)
% 6.52/6.68 Clause #187 (by clausification #[186]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (r1 a) (r4 a a a_1)) False) (Eq (And (r1 a_2) (Eq a_1 a_2)) False)
% 6.52/6.68 Clause #188 (by clausification #[187]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (r1 a) (Eq a_1 a)) False) (Or (Eq (r1 a_2) False) (Eq (r4 a_2 a_2 a_1) False))
% 6.52/6.68 Clause #189 (by clausification #[188]): ∀ (a a_1 a_2 : Iota), Or (Eq (r1 a) False) (Or (Eq (r4 a a a_1) False) (Or (Eq (r1 a_2) False) (Eq (Eq a_1 a_2) False)))
% 6.52/6.68 Clause #190 (by clausification #[189]): ∀ (a a_1 a_2 : Iota), Or (Eq (r1 a) False) (Or (Eq (r4 a a a_1) False) (Or (Eq (r1 a_2) False) (Ne a_1 a_2)))
% 6.52/6.68 Clause #191 (by destructive equality resolution #[190]): ∀ (a a_1 : Iota), Or (Eq (r1 a) False) (Or (Eq (r4 a a a_1) False) (Eq (r1 a_1) False))
% 6.52/6.68 Clause #195 (by superposition #[191, 175]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.52/6.68 Or (Eq (r4 (skS.0 15 a a_1 a_2) (skS.0 15 a a_1 a_2) a_3) False) (Or (Eq (r1 a_3) False) (Eq False True))
% 6.52/6.68 Clause #200 (by superposition #[177, 182]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (r4 a (skS.0 15 a_1 a_2 a_3) (skS.0 10 a_4 a_5)) True
% 6.52/6.68 Clause #355 (by clausification #[195]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (r4 (skS.0 15 a a_1 a_2) (skS.0 15 a a_1 a_2) a_3) False) (Eq (r1 a_3) False)
% 6.52/6.68 Clause #356 (by superposition #[355, 200]): ∀ (a a_1 : Iota), Or (Eq (r1 (skS.0 10 a a_1)) False) (Eq False True)
% 6.52/6.68 Clause #359 (by clausification #[356]): ∀ (a a_1 : Iota), Eq (r1 (skS.0 10 a a_1)) False
% 6.52/6.68 Clause #360 (by superposition #[359, 156]): Eq False True
% 6.52/6.68 Clause #361 (by clausification #[360]): False
% 6.52/6.68 SZS output end Proof for theBenchmark.p
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