TSTP Solution File: SWV402+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SWV402+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n029.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 21:59:02 EDT 2023
% Result : Theorem 4.41s 4.61s
% Output : Proof 4.41s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SWV402+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.14 % Command : duper %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 : Tue Aug 29 10:01:11 EDT 2023
% 0.13/0.35 % CPUTime :
% 4.41/4.61 SZS status Theorem for theBenchmark.p
% 4.41/4.61 SZS output start Proof for theBenchmark.p
% 4.41/4.61 Clause #9 (by assumption #[]): Eq (∀ (U V : Iota), Not (pair_in_list create_slb U V)) True
% 4.41/4.61 Clause #18 (by assumption #[]): Eq
% 4.41/4.61 (Not
% 4.41/4.61 (Iota →
% 4.41/4.61 ∀ (V W X : Iota),
% 4.41/4.61 And (pair_in_list create_slb V W) (strictly_less_than W X) → pair_in_list (update_slb create_slb X) V X))
% 4.41/4.61 True
% 4.41/4.61 Clause #41 (by clausification #[9]): ∀ (a : Iota), Eq (∀ (V : Iota), Not (pair_in_list create_slb a V)) True
% 4.41/4.61 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota), Eq (Not (pair_in_list create_slb a a_1)) True
% 4.41/4.61 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota), Eq (pair_in_list create_slb a a_1) False
% 4.41/4.61 Clause #80 (by clausification #[18]): Eq
% 4.41/4.61 (Iota →
% 4.41/4.61 ∀ (V W X : Iota),
% 4.41/4.61 And (pair_in_list create_slb V W) (strictly_less_than W X) → pair_in_list (update_slb create_slb X) V X)
% 4.41/4.61 False
% 4.41/4.61 Clause #81 (by clausification #[80]): Iota →
% 4.41/4.61 Eq
% 4.41/4.61 (Not
% 4.41/4.61 (∀ (V W X : Iota),
% 4.41/4.61 And (pair_in_list create_slb V W) (strictly_less_than W X) → pair_in_list (update_slb create_slb X) V X))
% 4.41/4.61 True
% 4.41/4.61 Clause #82 (by clausification #[81]): Eq
% 4.41/4.61 (∀ (V W X : Iota),
% 4.41/4.61 And (pair_in_list create_slb V W) (strictly_less_than W X) → pair_in_list (update_slb create_slb X) V X)
% 4.41/4.61 False
% 4.41/4.61 Clause #83 (by clausification #[82]): ∀ (a : Iota),
% 4.41/4.61 Eq
% 4.41/4.61 (Not
% 4.41/4.61 (∀ (W X : Iota),
% 4.41/4.61 And (pair_in_list create_slb (skS.0 1 a) W) (strictly_less_than W X) →
% 4.41/4.61 pair_in_list (update_slb create_slb X) (skS.0 1 a) X))
% 4.41/4.61 True
% 4.41/4.61 Clause #84 (by clausification #[83]): ∀ (a : Iota),
% 4.41/4.61 Eq
% 4.41/4.61 (∀ (W X : Iota),
% 4.41/4.61 And (pair_in_list create_slb (skS.0 1 a) W) (strictly_less_than W X) →
% 4.41/4.61 pair_in_list (update_slb create_slb X) (skS.0 1 a) X)
% 4.41/4.61 False
% 4.41/4.61 Clause #85 (by clausification #[84]): ∀ (a a_1 : Iota),
% 4.41/4.61 Eq
% 4.41/4.61 (Not
% 4.41/4.61 (∀ (X : Iota),
% 4.41/4.61 And (pair_in_list create_slb (skS.0 1 a) (skS.0 2 a a_1)) (strictly_less_than (skS.0 2 a a_1) X) →
% 4.41/4.61 pair_in_list (update_slb create_slb X) (skS.0 1 a) X))
% 4.41/4.61 True
% 4.41/4.61 Clause #86 (by clausification #[85]): ∀ (a a_1 : Iota),
% 4.41/4.61 Eq
% 4.41/4.61 (∀ (X : Iota),
% 4.41/4.61 And (pair_in_list create_slb (skS.0 1 a) (skS.0 2 a a_1)) (strictly_less_than (skS.0 2 a a_1) X) →
% 4.41/4.61 pair_in_list (update_slb create_slb X) (skS.0 1 a) X)
% 4.41/4.61 False
% 4.41/4.61 Clause #87 (by clausification #[86]): ∀ (a a_1 a_2 : Iota),
% 4.41/4.61 Eq
% 4.41/4.61 (Not
% 4.41/4.61 (And (pair_in_list create_slb (skS.0 1 a) (skS.0 2 a a_1))
% 4.41/4.61 (strictly_less_than (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)) →
% 4.41/4.61 pair_in_list (update_slb create_slb (skS.0 3 a a_1 a_2)) (skS.0 1 a) (skS.0 3 a a_1 a_2)))
% 4.41/4.61 True
% 4.41/4.61 Clause #88 (by clausification #[87]): ∀ (a a_1 a_2 : Iota),
% 4.41/4.61 Eq
% 4.41/4.61 (And (pair_in_list create_slb (skS.0 1 a) (skS.0 2 a a_1))
% 4.41/4.61 (strictly_less_than (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)) →
% 4.41/4.61 pair_in_list (update_slb create_slb (skS.0 3 a a_1 a_2)) (skS.0 1 a) (skS.0 3 a a_1 a_2))
% 4.41/4.61 False
% 4.41/4.61 Clause #89 (by clausification #[88]): ∀ (a a_1 a_2 : Iota),
% 4.41/4.61 Eq
% 4.41/4.61 (And (pair_in_list create_slb (skS.0 1 a) (skS.0 2 a a_1)) (strictly_less_than (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)))
% 4.41/4.61 True
% 4.41/4.61 Clause #92 (by clausification #[89]): ∀ (a a_1 : Iota), Eq (pair_in_list create_slb (skS.0 1 a) (skS.0 2 a a_1)) True
% 4.41/4.61 Clause #170 (by superposition #[92, 43]): Eq True False
% 4.41/4.61 Clause #172 (by clausification #[170]): False
% 4.41/4.61 SZS output end Proof for theBenchmark.p
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