TSTP Solution File: NUN088+3 by Duper---1.0
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% File : Duper---1.0
% Problem : NUN088+3 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n006.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 3.93s 4.12s
% Output : Proof 3.93s
% 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 : NUN088+3 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 09:45:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.93/4.12 SZS status Theorem for theBenchmark.p
% 3.93/4.12 SZS output start Proof for theBenchmark.p
% 3.93/4.12 Clause #10 (by assumption #[]): Eq (∀ (X7 Y10 : Iota), Or (∀ (Y20 : Iota), Or (Not (r1 Y20)) (Ne Y20 Y10)) (Not (r2 X7 Y10))) True
% 3.93/4.12 Clause #11 (by assumption #[]): Eq (Not (∀ (Y0 : Iota), Or (∀ (Y1 : Iota), Or (Ne Y0 Y1) (Not (r2 Y0 Y1))) (Not (r1 Y0)))) True
% 3.93/4.12 Clause #12 (by clausification #[11]): Eq (∀ (Y0 : Iota), Or (∀ (Y1 : Iota), Or (Ne Y0 Y1) (Not (r2 Y0 Y1))) (Not (r1 Y0))) False
% 3.93/4.12 Clause #13 (by clausification #[12]): ∀ (a : Iota),
% 3.93/4.12 Eq (Not (Or (∀ (Y1 : Iota), Or (Ne (skS.0 0 a) Y1) (Not (r2 (skS.0 0 a) Y1))) (Not (r1 (skS.0 0 a))))) True
% 3.93/4.12 Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (Or (∀ (Y1 : Iota), Or (Ne (skS.0 0 a) Y1) (Not (r2 (skS.0 0 a) Y1))) (Not (r1 (skS.0 0 a)))) False
% 3.93/4.12 Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (Not (r1 (skS.0 0 a))) False
% 3.93/4.12 Clause #16 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (Y1 : Iota), Or (Ne (skS.0 0 a) Y1) (Not (r2 (skS.0 0 a) Y1))) False
% 3.93/4.12 Clause #17 (by clausification #[15]): ∀ (a : Iota), Eq (r1 (skS.0 0 a)) True
% 3.93/4.12 Clause #18 (by clausification #[10]): ∀ (a : Iota), Eq (∀ (Y10 : Iota), Or (∀ (Y20 : Iota), Or (Not (r1 Y20)) (Ne Y20 Y10)) (Not (r2 a Y10))) True
% 3.93/4.12 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Eq (Or (∀ (Y20 : Iota), Or (Not (r1 Y20)) (Ne Y20 a)) (Not (r2 a_1 a))) True
% 3.93/4.12 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Or (Eq (∀ (Y20 : Iota), Or (Not (r1 Y20)) (Ne Y20 a)) True) (Eq (Not (r2 a_1 a)) True)
% 3.93/4.12 Clause #21 (by clausification #[20]): ∀ (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)
% 3.93/4.12 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 : Iota), Or (Eq (Or (Not (r1 a)) (Ne a a_1)) True) (Eq (r2 a_2 a_1) False)
% 3.93/4.12 Clause #23 (by clausification #[22]): ∀ (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))
% 3.93/4.12 Clause #24 (by clausification #[23]): ∀ (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))
% 3.93/4.12 Clause #25 (by clausification #[24]): ∀ (a a_1 a_2 : Iota), Or (Eq (r2 a a_1) False) (Or (Eq (r1 a_2) False) (Ne a_2 a_1))
% 3.93/4.12 Clause #26 (by destructive equality resolution #[25]): ∀ (a a_1 : Iota), Or (Eq (r2 a a_1) False) (Eq (r1 a_1) False)
% 3.93/4.12 Clause #106 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (Not (Or (Ne (skS.0 0 a) (skS.0 7 a a_1)) (Not (r2 (skS.0 0 a) (skS.0 7 a a_1))))) True
% 3.93/4.12 Clause #107 (by clausification #[106]): ∀ (a a_1 : Iota), Eq (Or (Ne (skS.0 0 a) (skS.0 7 a a_1)) (Not (r2 (skS.0 0 a) (skS.0 7 a a_1)))) False
% 3.93/4.12 Clause #108 (by clausification #[107]): ∀ (a a_1 : Iota), Eq (Not (r2 (skS.0 0 a) (skS.0 7 a a_1))) False
% 3.93/4.12 Clause #109 (by clausification #[107]): ∀ (a a_1 : Iota), Eq (Ne (skS.0 0 a) (skS.0 7 a a_1)) False
% 3.93/4.12 Clause #110 (by clausification #[108]): ∀ (a a_1 : Iota), Eq (r2 (skS.0 0 a) (skS.0 7 a a_1)) True
% 3.93/4.12 Clause #111 (by superposition #[110, 26]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (r1 (skS.0 7 a a_1)) False)
% 3.93/4.12 Clause #122 (by clausification #[111]): ∀ (a a_1 : Iota), Eq (r1 (skS.0 7 a a_1)) False
% 3.93/4.12 Clause #123 (by clausification #[109]): ∀ (a a_1 : Iota), Eq (skS.0 0 a) (skS.0 7 a a_1)
% 3.93/4.12 Clause #124 (by backward demodulation #[123, 122]): ∀ (a : Iota), Eq (r1 (skS.0 0 a)) False
% 3.93/4.12 Clause #127 (by superposition #[124, 17]): Eq False True
% 3.93/4.12 Clause #137 (by clausification #[127]): False
% 3.93/4.12 SZS output end Proof for theBenchmark.p
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