TSTP Solution File: NUN088+2 by Duper---1.0
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% File : Duper---1.0
% Problem : NUN088+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n020.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 3.80s 4.00s
% Output : Proof 3.80s
% 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+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : duper %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 09:18:14 EDT 2023
% 0.12/0.34 % CPUTime :
% 3.80/4.00 SZS status Theorem for theBenchmark.p
% 3.80/4.00 SZS output start Proof for theBenchmark.p
% 3.80/4.00 Clause #10 (by assumption #[]): Eq (∀ (X7 Y10 : Iota), Or (∀ (Y20 : Iota), Or (Not (r1 Y20)) (Ne Y20 Y10)) (Not (r2 X7 Y10))) True
% 3.80/4.00 Clause #11 (by assumption #[]): Eq
% 3.80/4.00 (Not
% 3.80/4.00 (∀ (Y1 : Iota), Or (∀ (Y2 : Iota), Or (Not (r1 Y2)) (Ne Y2 Y1)) (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y1)))))
% 3.80/4.00 True
% 3.80/4.00 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
% 3.80/4.00 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
% 3.80/4.00 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)
% 3.80/4.00 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)
% 3.80/4.00 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)
% 3.80/4.00 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))
% 3.80/4.00 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))
% 3.80/4.00 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))
% 3.80/4.00 Clause #20 (by destructive equality resolution #[19]): ∀ (a a_1 : Iota), Or (Eq (r2 a a_1) False) (Eq (r1 a_1) False)
% 3.80/4.00 Clause #109 (by clausification #[11]): Eq (∀ (Y1 : Iota), Or (∀ (Y2 : Iota), Or (Not (r1 Y2)) (Ne Y2 Y1)) (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 Y1))))
% 3.80/4.00 False
% 3.80/4.00 Clause #110 (by clausification #[109]): ∀ (a : Iota),
% 3.80/4.00 Eq
% 3.80/4.00 (Not
% 3.80/4.00 (Or (∀ (Y2 : Iota), Or (Not (r1 Y2)) (Ne Y2 (skS.0 8 a)))
% 3.80/4.00 (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 (skS.0 8 a))))))
% 3.80/4.00 True
% 3.80/4.00 Clause #111 (by clausification #[110]): ∀ (a : Iota),
% 3.80/4.00 Eq
% 3.80/4.00 (Or (∀ (Y2 : Iota), Or (Not (r1 Y2)) (Ne Y2 (skS.0 8 a)))
% 3.80/4.00 (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 (skS.0 8 a)))))
% 3.80/4.00 False
% 3.80/4.00 Clause #112 (by clausification #[111]): ∀ (a : Iota), Eq (∀ (Y3 : Iota), Or (Not (r1 Y3)) (Not (r2 Y3 (skS.0 8 a)))) False
% 3.80/4.00 Clause #113 (by clausification #[111]): ∀ (a : Iota), Eq (∀ (Y2 : Iota), Or (Not (r1 Y2)) (Ne Y2 (skS.0 8 a))) False
% 3.80/4.00 Clause #114 (by clausification #[112]): ∀ (a a_1 : Iota), Eq (Not (Or (Not (r1 (skS.0 9 a a_1))) (Not (r2 (skS.0 9 a a_1) (skS.0 8 a))))) True
% 3.80/4.00 Clause #115 (by clausification #[114]): ∀ (a a_1 : Iota), Eq (Or (Not (r1 (skS.0 9 a a_1))) (Not (r2 (skS.0 9 a a_1) (skS.0 8 a)))) False
% 3.80/4.00 Clause #116 (by clausification #[115]): ∀ (a a_1 : Iota), Eq (Not (r2 (skS.0 9 a a_1) (skS.0 8 a))) False
% 3.80/4.00 Clause #118 (by clausification #[116]): ∀ (a a_1 : Iota), Eq (r2 (skS.0 9 a a_1) (skS.0 8 a)) True
% 3.80/4.00 Clause #119 (by superposition #[118, 20]): ∀ (a : Iota), Or (Eq True False) (Eq (r1 (skS.0 8 a)) False)
% 3.80/4.00 Clause #121 (by clausification #[119]): ∀ (a : Iota), Eq (r1 (skS.0 8 a)) False
% 3.80/4.00 Clause #124 (by clausification #[113]): ∀ (a a_1 : Iota), Eq (Not (Or (Not (r1 (skS.0 10 a a_1))) (Ne (skS.0 10 a a_1) (skS.0 8 a)))) True
% 3.80/4.00 Clause #125 (by clausification #[124]): ∀ (a a_1 : Iota), Eq (Or (Not (r1 (skS.0 10 a a_1))) (Ne (skS.0 10 a a_1) (skS.0 8 a))) False
% 3.80/4.00 Clause #126 (by clausification #[125]): ∀ (a a_1 : Iota), Eq (Ne (skS.0 10 a a_1) (skS.0 8 a)) False
% 3.80/4.00 Clause #127 (by clausification #[125]): ∀ (a a_1 : Iota), Eq (Not (r1 (skS.0 10 a a_1))) False
% 3.80/4.00 Clause #128 (by clausification #[126]): ∀ (a a_1 : Iota), Eq (skS.0 10 a a_1) (skS.0 8 a)
% 3.80/4.00 Clause #137 (by clausification #[127]): ∀ (a a_1 : Iota), Eq (r1 (skS.0 10 a a_1)) True
% 3.80/4.00 Clause #138 (by forward demodulation #[137, 128]): ∀ (a : Iota), Eq (r1 (skS.0 8 a)) True
% 3.80/4.00 Clause #139 (by superposition #[138, 121]): Eq True False
% 3.80/4.00 Clause #141 (by clausification #[139]): False
% 3.80/4.00 SZS output end Proof for theBenchmark.p
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