TSTP Solution File: NUN089+2 by Duper---1.0
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% File : Duper---1.0
% Problem : NUN089+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n017.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 12:47:25 EDT 2023
% Result : Theorem 4.64s 4.83s
% Output : Proof 4.64s
% 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 : NUN089+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 08:40:41 EDT 2023
% 0.14/0.35 % CPUTime :
% 4.64/4.83 SZS status Theorem for theBenchmark.p
% 4.64/4.83 SZS output start Proof for theBenchmark.p
% 4.64/4.83 Clause #10 (by assumption #[]): Eq (∀ (X7 Y10 : Iota), Or (∀ (Y20 : Iota), Or (Not (r1 Y20)) (Ne Y20 Y10)) (Not (r2 X7 Y10))) True
% 4.64/4.83 Clause #11 (by assumption #[]): Eq
% 4.64/4.83 (Not
% 4.64/4.83 (∀ (Y1 : Iota),
% 4.64/4.83 Or (∀ (Y2 : Iota), Or (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y2))) (Not (r2 Y2 Y1)))
% 4.64/4.83 (∀ (Y4 : Iota), Or (Ne Y4 Y1) (Not (r1 Y4)))))
% 4.64/4.83 True
% 4.64/4.83 Clause #12 (by clausification #[10]): ∀ (a : Iota), Eq (∀ (Y10 : Iota), Or (∀ (Y20 : Iota), Or (Not (r1 Y20)) (Ne Y20 Y10)) (Not (r2 a Y10))) True
% 4.64/4.83 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Eq (Or (∀ (Y20 : Iota), Or (Not (r1 Y20)) (Ne Y20 a)) (Not (r2 a_1 a))) True
% 4.64/4.83 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Or (Eq (∀ (Y20 : Iota), Or (Not (r1 Y20)) (Ne Y20 a)) True) (Eq (Not (r2 a_1 a)) True)
% 4.64/4.83 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 : Iota), Or (Eq (Not (r2 a a_1)) True) (Eq (Or (Not (r1 a_2)) (Ne a_2 a_1)) True)
% 4.64/4.83 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 : Iota), Or (Eq (Or (Not (r1 a)) (Ne a a_1)) True) (Eq (r2 a_2 a_1) False)
% 4.64/4.83 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 : Iota), Or (Eq (r2 a a_1) False) (Or (Eq (Not (r1 a_2)) True) (Eq (Ne a_2 a_1) True))
% 4.64/4.83 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : Iota), Or (Eq (r2 a a_1) False) (Or (Eq (Ne a_2 a_1) True) (Eq (r1 a_2) False))
% 4.64/4.83 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : Iota), Or (Eq (r2 a a_1) False) (Or (Eq (r1 a_2) False) (Ne a_2 a_1))
% 4.64/4.83 Clause #20 (by destructive equality resolution #[19]): ∀ (a a_1 : Iota), Or (Eq (r2 a a_1) False) (Eq (r1 a_1) False)
% 4.64/4.83 Clause #183 (by clausification #[11]): Eq
% 4.64/4.83 (∀ (Y1 : Iota),
% 4.64/4.83 Or (∀ (Y2 : Iota), Or (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y2))) (Not (r2 Y2 Y1)))
% 4.64/4.83 (∀ (Y4 : Iota), Or (Ne Y4 Y1) (Not (r1 Y4))))
% 4.64/4.83 False
% 4.64/4.83 Clause #184 (by clausification #[183]): ∀ (a : Iota),
% 4.64/4.83 Eq
% 4.64/4.83 (Not
% 4.64/4.83 (Or (∀ (Y2 : Iota), Or (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y2))) (Not (r2 Y2 (skS.0 16 a))))
% 4.64/4.83 (∀ (Y4 : Iota), Or (Ne Y4 (skS.0 16 a)) (Not (r1 Y4)))))
% 4.64/4.83 True
% 4.64/4.83 Clause #185 (by clausification #[184]): ∀ (a : Iota),
% 4.64/4.83 Eq
% 4.64/4.83 (Or (∀ (Y2 : Iota), Or (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y2))) (Not (r2 Y2 (skS.0 16 a))))
% 4.64/4.83 (∀ (Y4 : Iota), Or (Ne Y4 (skS.0 16 a)) (Not (r1 Y4))))
% 4.64/4.83 False
% 4.64/4.83 Clause #186 (by clausification #[185]): ∀ (a : Iota), Eq (∀ (Y4 : Iota), Or (Ne Y4 (skS.0 16 a)) (Not (r1 Y4))) False
% 4.64/4.83 Clause #187 (by clausification #[185]): ∀ (a : Iota), Eq (∀ (Y2 : Iota), Or (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y2))) (Not (r2 Y2 (skS.0 16 a)))) False
% 4.64/4.83 Clause #188 (by clausification #[186]): ∀ (a a_1 : Iota), Eq (Not (Or (Ne (skS.0 17 a a_1) (skS.0 16 a)) (Not (r1 (skS.0 17 a a_1))))) True
% 4.64/4.83 Clause #189 (by clausification #[188]): ∀ (a a_1 : Iota), Eq (Or (Ne (skS.0 17 a a_1) (skS.0 16 a)) (Not (r1 (skS.0 17 a a_1)))) False
% 4.64/4.83 Clause #190 (by clausification #[189]): ∀ (a a_1 : Iota), Eq (Not (r1 (skS.0 17 a a_1))) False
% 4.64/4.83 Clause #191 (by clausification #[189]): ∀ (a a_1 : Iota), Eq (Ne (skS.0 17 a a_1) (skS.0 16 a)) False
% 4.64/4.83 Clause #192 (by clausification #[190]): ∀ (a a_1 : Iota), Eq (r1 (skS.0 17 a a_1)) True
% 4.64/4.83 Clause #198 (by clausification #[191]): ∀ (a a_1 : Iota), Eq (skS.0 17 a a_1) (skS.0 16 a)
% 4.64/4.83 Clause #199 (by backward demodulation #[198, 192]): ∀ (a : Iota), Eq (r1 (skS.0 16 a)) True
% 4.64/4.83 Clause #228 (by clausification #[187]): ∀ (a a_1 : Iota),
% 4.64/4.83 Eq
% 4.64/4.83 (Not (Or (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 (skS.0 19 a a_1)))) (Not (r2 (skS.0 19 a a_1) (skS.0 16 a)))))
% 4.64/4.83 True
% 4.64/4.83 Clause #229 (by clausification #[228]): ∀ (a a_1 : Iota),
% 4.64/4.83 Eq (Or (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 (skS.0 19 a a_1)))) (Not (r2 (skS.0 19 a a_1) (skS.0 16 a))))
% 4.64/4.83 False
% 4.64/4.83 Clause #230 (by clausification #[229]): ∀ (a a_1 : Iota), Eq (Not (r2 (skS.0 19 a a_1) (skS.0 16 a))) False
% 4.64/4.83 Clause #232 (by clausification #[230]): ∀ (a a_1 : Iota), Eq (r2 (skS.0 19 a a_1) (skS.0 16 a)) True
% 4.64/4.83 Clause #233 (by superposition #[232, 20]): ∀ (a : Iota), Or (Eq True False) (Eq (r1 (skS.0 16 a)) False)
% 4.64/4.83 Clause #237 (by clausification #[233]): ∀ (a : Iota), Eq (r1 (skS.0 16 a)) False
% 4.64/4.83 Clause #238 (by superposition #[237, 199]): Eq False True
% 4.64/4.83 Clause #239 (by clausification #[238]): False
% 4.64/4.83 SZS output end Proof for theBenchmark.p
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