TSTP Solution File: SEU661^2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU661^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n015.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 16:43:16 EDT 2023
% Result : Theorem 3.18s 3.52s
% Output : Proof 3.18s
% 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 : SEU661^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n015.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 : Thu Aug 24 00:43:05 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.18/3.52 SZS status Theorem for theBenchmark.p
% 3.18/3.52 SZS output start Proof for theBenchmark.p
% 3.18/3.52 Clause #0 (by assumption #[]): Eq (Not (∀ (A B Xx : Iota), in Xx A → ∀ (Xy : Iota), in Xy B → Eq (kpair Xx Xy) (kpair Xx Xy))) True
% 3.18/3.52 Clause #1 (by clausification #[0]): Eq (∀ (A B Xx : Iota), in Xx A → ∀ (Xy : Iota), in Xy B → Eq (kpair Xx Xy) (kpair Xx Xy)) False
% 3.18/3.52 Clause #2 (by clausification #[1]): ∀ (a : Iota),
% 3.18/3.52 Eq (Not (∀ (B Xx : Iota), in Xx (skS.0 0 a) → ∀ (Xy : Iota), in Xy B → Eq (kpair Xx Xy) (kpair Xx Xy))) True
% 3.18/3.52 Clause #3 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), in Xx (skS.0 0 a) → ∀ (Xy : Iota), in Xy B → Eq (kpair Xx Xy) (kpair Xx Xy)) False
% 3.18/3.52 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota),
% 3.18/3.52 Eq (Not (∀ (Xx : Iota), in Xx (skS.0 0 a) → ∀ (Xy : Iota), in Xy (skS.0 1 a a_1) → Eq (kpair Xx Xy) (kpair Xx Xy)))
% 3.18/3.52 True
% 3.18/3.52 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota),
% 3.18/3.52 Eq (∀ (Xx : Iota), in Xx (skS.0 0 a) → ∀ (Xy : Iota), in Xy (skS.0 1 a a_1) → Eq (kpair Xx Xy) (kpair Xx Xy)) False
% 3.18/3.52 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 : Iota),
% 3.18/3.52 Eq
% 3.18/3.52 (Not
% 3.18/3.52 (in (skS.0 2 a a_1 a_2) (skS.0 0 a) →
% 3.18/3.52 ∀ (Xy : Iota), in Xy (skS.0 1 a a_1) → Eq (kpair (skS.0 2 a a_1 a_2) Xy) (kpair (skS.0 2 a a_1 a_2) Xy)))
% 3.18/3.52 True
% 3.18/3.52 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 : Iota),
% 3.18/3.52 Eq
% 3.18/3.52 (in (skS.0 2 a a_1 a_2) (skS.0 0 a) →
% 3.18/3.52 ∀ (Xy : Iota), in Xy (skS.0 1 a a_1) → Eq (kpair (skS.0 2 a a_1 a_2) Xy) (kpair (skS.0 2 a a_1 a_2) Xy))
% 3.18/3.52 False
% 3.18/3.52 Clause #9 (by clausification #[7]): ∀ (a a_1 a_2 : Iota),
% 3.18/3.52 Eq (∀ (Xy : Iota), in Xy (skS.0 1 a a_1) → Eq (kpair (skS.0 2 a a_1 a_2) Xy) (kpair (skS.0 2 a a_1 a_2) Xy)) False
% 3.18/3.52 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.18/3.52 Eq
% 3.18/3.52 (Not
% 3.18/3.52 (in (skS.0 3 a a_1 a_2 a_3) (skS.0 1 a a_1) →
% 3.18/3.52 Eq (kpair (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)) (kpair (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))))
% 3.18/3.52 True
% 3.18/3.52 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.18/3.52 Eq
% 3.18/3.52 (in (skS.0 3 a a_1 a_2 a_3) (skS.0 1 a a_1) →
% 3.18/3.52 Eq (kpair (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)) (kpair (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 3.18/3.52 False
% 3.18/3.52 Clause #13 (by clausification #[11]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.18/3.52 Eq (Eq (kpair (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)) (kpair (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) False
% 3.18/3.52 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.18/3.52 Ne (kpair (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)) (kpair (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))
% 3.18/3.52 Clause #15 (by eliminate resolved literals #[14]): False
% 3.18/3.52 SZS output end Proof for theBenchmark.p
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