TSTP Solution File: KRS179+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : KRS179+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n022.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 05:43:38 EDT 2023
% Result : Theorem 60.15s 60.42s
% Output : Proof 60.15s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KRS179+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.12 % Command : duper %s
% 0.10/0.33 % Computer : n022.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon Aug 28 01:03:24 EDT 2023
% 0.16/0.33 % CPUTime :
% 60.15/60.42 SZS status Theorem for theBenchmark.p
% 60.15/60.42 SZS output start Proof for theBenchmark.p
% 60.15/60.42 Clause #1 (by assumption #[]): Eq (∀ (S1 S2 : Iota), Iff (∀ (Ax C : Iota), status Ax C S1 → status Ax C S2) (isa S1 S2)) True
% 60.15/60.42 Clause #13 (by assumption #[]): Eq (Not (∀ (S1 S2 S3 : Iota), And (isa S1 S2) (isa S2 S3) → isa S1 S3)) True
% 60.15/60.42 Clause #16 (by clausification #[13]): Eq (∀ (S1 S2 S3 : Iota), And (isa S1 S2) (isa S2 S3) → isa S1 S3) False
% 60.15/60.42 Clause #17 (by clausification #[16]): ∀ (a : Iota), Eq (Not (∀ (S2 S3 : Iota), And (isa (skS.0 1 a) S2) (isa S2 S3) → isa (skS.0 1 a) S3)) True
% 60.15/60.42 Clause #18 (by clausification #[17]): ∀ (a : Iota), Eq (∀ (S2 S3 : Iota), And (isa (skS.0 1 a) S2) (isa S2 S3) → isa (skS.0 1 a) S3) False
% 60.15/60.42 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota),
% 60.15/60.42 Eq (Not (∀ (S3 : Iota), And (isa (skS.0 1 a) (skS.0 2 a a_1)) (isa (skS.0 2 a a_1) S3) → isa (skS.0 1 a) S3)) True
% 60.15/60.42 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota),
% 60.15/60.42 Eq (∀ (S3 : Iota), And (isa (skS.0 1 a) (skS.0 2 a a_1)) (isa (skS.0 2 a a_1) S3) → isa (skS.0 1 a) S3) False
% 60.15/60.42 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 : Iota),
% 60.15/60.42 Eq
% 60.15/60.42 (Not
% 60.15/60.42 (And (isa (skS.0 1 a) (skS.0 2 a a_1)) (isa (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)) →
% 60.15/60.42 isa (skS.0 1 a) (skS.0 3 a a_1 a_2)))
% 60.15/60.42 True
% 60.15/60.42 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 : Iota),
% 60.15/60.42 Eq
% 60.15/60.42 (And (isa (skS.0 1 a) (skS.0 2 a a_1)) (isa (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)) →
% 60.15/60.42 isa (skS.0 1 a) (skS.0 3 a a_1 a_2))
% 60.15/60.42 False
% 60.15/60.42 Clause #23 (by clausification #[22]): ∀ (a a_1 a_2 : Iota), Eq (And (isa (skS.0 1 a) (skS.0 2 a a_1)) (isa (skS.0 2 a a_1) (skS.0 3 a a_1 a_2))) True
% 60.15/60.42 Clause #24 (by clausification #[22]): ∀ (a a_1 a_2 : Iota), Eq (isa (skS.0 1 a) (skS.0 3 a a_1 a_2)) False
% 60.15/60.42 Clause #25 (by clausification #[23]): ∀ (a a_1 a_2 : Iota), Eq (isa (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)) True
% 60.15/60.42 Clause #26 (by clausification #[23]): ∀ (a a_1 : Iota), Eq (isa (skS.0 1 a) (skS.0 2 a a_1)) True
% 60.15/60.42 Clause #53 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (S2 : Iota), Iff (∀ (Ax C : Iota), status Ax C a → status Ax C S2) (isa a S2)) True
% 60.15/60.42 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota), Eq (Iff (∀ (Ax C : Iota), status Ax C a → status Ax C a_1) (isa a a_1)) True
% 60.15/60.42 Clause #55 (by clausification #[54]): ∀ (a a_1 : Iota), Or (Eq (∀ (Ax C : Iota), status Ax C a → status Ax C a_1) True) (Eq (isa a a_1) False)
% 60.15/60.42 Clause #56 (by clausification #[54]): ∀ (a a_1 : Iota), Or (Eq (∀ (Ax C : Iota), status Ax C a → status Ax C a_1) False) (Eq (isa a a_1) True)
% 60.15/60.42 Clause #57 (by clausification #[55]): ∀ (a a_1 a_2 : Iota), Or (Eq (isa a a_1) False) (Eq (∀ (C : Iota), status a_2 C a → status a_2 C a_1) True)
% 60.15/60.42 Clause #58 (by clausification #[57]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (isa a a_1) False) (Eq (status a_2 a_3 a → status a_2 a_3 a_1) True)
% 60.15/60.42 Clause #59 (by clausification #[58]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (isa a a_1) False) (Or (Eq (status a_2 a_3 a) False) (Eq (status a_2 a_3 a_1) True))
% 60.15/60.42 Clause #60 (by superposition #[59, 25]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 60.15/60.42 Or (Eq (status a a_1 (skS.0 2 a_2 a_3)) False) (Or (Eq (status a a_1 (skS.0 3 a_2 a_3 a_4)) True) (Eq False True))
% 60.15/60.42 Clause #61 (by clausification #[56]): ∀ (a a_1 a_2 : Iota),
% 60.15/60.42 Or (Eq (isa a a_1) True)
% 60.15/60.42 (Eq (Not (∀ (C : Iota), status (skS.0 7 a a_1 a_2) C a → status (skS.0 7 a a_1 a_2) C a_1)) True)
% 60.15/60.42 Clause #62 (by clausification #[61]): ∀ (a a_1 a_2 : Iota),
% 60.15/60.42 Or (Eq (isa a a_1) True) (Eq (∀ (C : Iota), status (skS.0 7 a a_1 a_2) C a → status (skS.0 7 a a_1 a_2) C a_1) False)
% 60.15/60.42 Clause #63 (by clausification #[62]): ∀ (a a_1 a_2 a_3 : Iota),
% 60.15/60.42 Or (Eq (isa a a_1) True)
% 60.15/60.42 (Eq
% 60.15/60.42 (Not
% 60.15/60.42 (status (skS.0 7 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3) a → status (skS.0 7 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3) a_1))
% 60.15/60.42 True)
% 60.15/60.42 Clause #64 (by clausification #[63]): ∀ (a a_1 a_2 a_3 : Iota),
% 60.15/60.42 Or (Eq (isa a a_1) True)
% 60.15/60.42 (Eq (status (skS.0 7 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3) a → status (skS.0 7 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3) a_1)
% 60.15/60.42 False)
% 60.15/60.42 Clause #65 (by clausification #[64]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (isa a a_1) True) (Eq (status (skS.0 7 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3) a) True)
% 60.15/60.52 Clause #66 (by clausification #[64]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (isa a a_1) True) (Eq (status (skS.0 7 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3) a_1) False)
% 60.15/60.52 Clause #81 (by superposition #[26, 59]): ∀ (a a_1 a_2 a_3 : Iota),
% 60.15/60.52 Or (Eq (status a a_1 (skS.0 1 a_2)) False) (Or (Eq (status a a_1 (skS.0 2 a_2 a_3)) True) (Eq False True))
% 60.15/60.52 Clause #157 (by clausification #[81]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (status a a_1 (skS.0 1 a_2)) False) (Eq (status a a_1 (skS.0 2 a_2 a_3)) True)
% 60.15/60.52 Clause #158 (by superposition #[157, 65]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 60.15/60.52 Or (Eq (status (skS.0 7 (skS.0 1 a) a_1 a_2) (skS.0 8 (skS.0 1 a) a_1 a_2 a_3) (skS.0 2 a a_4)) True)
% 60.15/60.52 (Or (Eq (isa (skS.0 1 a) a_1) True) (Eq False True))
% 60.15/60.52 Clause #162 (by clausification #[60]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 60.15/60.52 Or (Eq (status a a_1 (skS.0 2 a_2 a_3)) False) (Eq (status a a_1 (skS.0 3 a_2 a_3 a_4)) True)
% 60.15/60.52 Clause #292 (by clausification #[158]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 60.15/60.52 Or (Eq (status (skS.0 7 (skS.0 1 a) a_1 a_2) (skS.0 8 (skS.0 1 a) a_1 a_2 a_3) (skS.0 2 a a_4)) True)
% 60.15/60.52 (Eq (isa (skS.0 1 a) a_1) True)
% 60.15/60.52 Clause #293 (by superposition #[292, 162]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 60.15/60.52 Or (Eq (isa (skS.0 1 a) a_1) True)
% 60.15/60.52 (Or (Eq True False)
% 60.15/60.52 (Eq (status (skS.0 7 (skS.0 1 a) a_1 a_2) (skS.0 8 (skS.0 1 a) a_1 a_2 a_3) (skS.0 3 a a_4 a_5)) True))
% 60.15/60.52 Clause #2852 (by clausification #[293]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 60.15/60.52 Or (Eq (isa (skS.0 1 a) a_1) True)
% 60.15/60.52 (Eq (status (skS.0 7 (skS.0 1 a) a_1 a_2) (skS.0 8 (skS.0 1 a) a_1 a_2 a_3) (skS.0 3 a a_4 a_5)) True)
% 60.15/60.52 Clause #2853 (by superposition #[2852, 66]): ∀ (a a_1 a_2 : Iota),
% 60.15/60.52 Or (Eq (isa (skS.0 1 a) (skS.0 3 a a_1 a_2)) True)
% 60.15/60.52 (Or (Eq (isa (skS.0 1 a) (skS.0 3 a a_1 a_2)) True) (Eq True False))
% 60.15/60.52 Clause #8343 (by clausification #[2853]): ∀ (a a_1 a_2 : Iota), Or (Eq (isa (skS.0 1 a) (skS.0 3 a a_1 a_2)) True) (Eq (isa (skS.0 1 a) (skS.0 3 a a_1 a_2)) True)
% 60.15/60.52 Clause #8344 (by eliminate duplicate literals #[8343]): ∀ (a a_1 a_2 : Iota), Eq (isa (skS.0 1 a) (skS.0 3 a a_1 a_2)) True
% 60.15/60.52 Clause #8345 (by superposition #[8344, 24]): Eq True False
% 60.15/60.52 Clause #8347 (by clausification #[8345]): False
% 60.15/60.52 SZS output end Proof for theBenchmark.p
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