TSTP Solution File: SEU662^2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU662^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n028.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 3.46s 3.63s
% Output : Proof 3.46s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU662^2 : TPTP v8.1.2. Released v3.7.0.
% 0.07/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n028.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 12:52:03 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.46/3.63 SZS status Theorem for theBenchmark.p
% 3.46/3.63 SZS output start Proof for theBenchmark.p
% 3.46/3.63 Clause #0 (by assumption #[]): Eq (Eq kfstpairEq (∀ (Xx Xy : Iota), Eq (kfst (kpair Xx Xy)) Xx)) True
% 3.46/3.63 Clause #2 (by assumption #[]): Eq
% 3.46/3.63 (Not
% 3.46/3.63 (kfstpairEq →
% 3.46/3.63 cartprodmempaircEq → ∀ (A B Xx : Iota), in Xx A → ∀ (Xy : Iota), in Xy B → Eq (kfst (kpair Xx Xy)) Xx))
% 3.46/3.63 True
% 3.46/3.63 Clause #3 (by clausification #[0]): Eq kfstpairEq (∀ (Xx Xy : Iota), Eq (kfst (kpair Xx Xy)) Xx)
% 3.46/3.63 Clause #5 (by clausify Prop equality #[3]): Or (Eq kfstpairEq False) (Eq (∀ (Xx Xy : Iota), Eq (kfst (kpair Xx Xy)) Xx) True)
% 3.46/3.63 Clause #7 (by clausification #[5]): ∀ (a : Iota), Or (Eq kfstpairEq False) (Eq (∀ (Xy : Iota), Eq (kfst (kpair a Xy)) a) True)
% 3.46/3.63 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq kfstpairEq False) (Eq (Eq (kfst (kpair a a_1)) a) True)
% 3.46/3.63 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Or (Eq kfstpairEq False) (Eq (kfst (kpair a a_1)) a)
% 3.46/3.63 Clause #15 (by clausification #[2]): Eq (kfstpairEq → cartprodmempaircEq → ∀ (A B Xx : Iota), in Xx A → ∀ (Xy : Iota), in Xy B → Eq (kfst (kpair Xx Xy)) Xx)
% 3.46/3.63 False
% 3.46/3.63 Clause #16 (by clausification #[15]): Eq kfstpairEq True
% 3.46/3.63 Clause #17 (by clausification #[15]): Eq (cartprodmempaircEq → ∀ (A B Xx : Iota), in Xx A → ∀ (Xy : Iota), in Xy B → Eq (kfst (kpair Xx Xy)) Xx) False
% 3.46/3.63 Clause #20 (by superposition #[16, 9]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (kfst (kpair a a_1)) a)
% 3.46/3.63 Clause #25 (by clausification #[20]): ∀ (a a_1 : Iota), Eq (kfst (kpair a a_1)) a
% 3.46/3.63 Clause #29 (by clausification #[17]): Eq (∀ (A B Xx : Iota), in Xx A → ∀ (Xy : Iota), in Xy B → Eq (kfst (kpair Xx Xy)) Xx) False
% 3.46/3.63 Clause #31 (by clausification #[29]): ∀ (a : Iota), Eq (Not (∀ (B Xx : Iota), in Xx (skS.0 2 a) → ∀ (Xy : Iota), in Xy B → Eq (kfst (kpair Xx Xy)) Xx)) True
% 3.46/3.63 Clause #32 (by clausification #[31]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), in Xx (skS.0 2 a) → ∀ (Xy : Iota), in Xy B → Eq (kfst (kpair Xx Xy)) Xx) False
% 3.46/3.63 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota),
% 3.46/3.63 Eq (Not (∀ (Xx : Iota), in Xx (skS.0 2 a) → ∀ (Xy : Iota), in Xy (skS.0 3 a a_1) → Eq (kfst (kpair Xx Xy)) Xx)) True
% 3.46/3.63 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota),
% 3.46/3.63 Eq (∀ (Xx : Iota), in Xx (skS.0 2 a) → ∀ (Xy : Iota), in Xy (skS.0 3 a a_1) → Eq (kfst (kpair Xx Xy)) Xx) False
% 3.46/3.63 Clause #35 (by clausification #[34]): ∀ (a a_1 a_2 : Iota),
% 3.46/3.63 Eq
% 3.46/3.63 (Not
% 3.46/3.63 (in (skS.0 4 a a_1 a_2) (skS.0 2 a) →
% 3.46/3.63 ∀ (Xy : Iota), in Xy (skS.0 3 a a_1) → Eq (kfst (kpair (skS.0 4 a a_1 a_2) Xy)) (skS.0 4 a a_1 a_2)))
% 3.46/3.63 True
% 3.46/3.63 Clause #36 (by clausification #[35]): ∀ (a a_1 a_2 : Iota),
% 3.46/3.63 Eq
% 3.46/3.63 (in (skS.0 4 a a_1 a_2) (skS.0 2 a) →
% 3.46/3.63 ∀ (Xy : Iota), in Xy (skS.0 3 a a_1) → Eq (kfst (kpair (skS.0 4 a a_1 a_2) Xy)) (skS.0 4 a a_1 a_2))
% 3.46/3.63 False
% 3.46/3.63 Clause #38 (by clausification #[36]): ∀ (a a_1 a_2 : Iota),
% 3.46/3.63 Eq (∀ (Xy : Iota), in Xy (skS.0 3 a a_1) → Eq (kfst (kpair (skS.0 4 a a_1 a_2) Xy)) (skS.0 4 a a_1 a_2)) False
% 3.46/3.63 Clause #62 (by clausification #[38]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.46/3.63 Eq
% 3.46/3.63 (Not
% 3.46/3.63 (in (skS.0 8 a a_1 a_2 a_3) (skS.0 3 a a_1) →
% 3.46/3.63 Eq (kfst (kpair (skS.0 4 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3))) (skS.0 4 a a_1 a_2)))
% 3.46/3.63 True
% 3.46/3.63 Clause #63 (by clausification #[62]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.46/3.63 Eq
% 3.46/3.63 (in (skS.0 8 a a_1 a_2 a_3) (skS.0 3 a a_1) →
% 3.46/3.63 Eq (kfst (kpair (skS.0 4 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3))) (skS.0 4 a a_1 a_2))
% 3.46/3.63 False
% 3.46/3.63 Clause #65 (by clausification #[63]): ∀ (a a_1 a_2 a_3 : Iota), Eq (Eq (kfst (kpair (skS.0 4 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3))) (skS.0 4 a a_1 a_2)) False
% 3.46/3.63 Clause #71 (by clausification #[65]): ∀ (a a_1 a_2 a_3 : Iota), Ne (kfst (kpair (skS.0 4 a a_1 a_2) (skS.0 8 a a_1 a_2 a_3))) (skS.0 4 a a_1 a_2)
% 3.46/3.63 Clause #72 (by forward demodulation #[71, 25]): ∀ (a a_1 a_2 : Iota), Ne (skS.0 4 a a_1 a_2) (skS.0 4 a a_1 a_2)
% 3.46/3.63 Clause #73 (by eliminate resolved literals #[72]): False
% 3.46/3.63 SZS output end Proof for theBenchmark.p
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