TSTP Solution File: SEU936^5 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SEU936^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n011.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 16:44:21 EDT 2023
% Result : Theorem 4.33s 4.49s
% Output : Proof 4.33s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SEU936^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.07 % Command : duper %s
% 0.06/0.27 % Computer : n011.cluster.edu
% 0.06/0.27 % Model : x86_64 x86_64
% 0.06/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.27 % Memory : 8042.1875MB
% 0.06/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.27 % CPULimit : 300
% 0.06/0.27 % WCLimit : 300
% 0.06/0.27 % DateTime : Wed Aug 23 14:53:07 EDT 2023
% 0.06/0.27 % CPUTime :
% 4.33/4.49 SZS status Theorem for theBenchmark.p
% 4.33/4.49 SZS output start Proof for theBenchmark.p
% 4.33/4.49 Clause #0 (by assumption #[]): Eq
% 4.33/4.49 (Not
% 4.33/4.49 (∀ (F : a → b) (G : b → c),
% 4.33/4.49 (∀ (Xx Xy : a), Eq (G (F Xx)) (G (F Xy)) → Eq Xx Xy) → ∀ (Xx Xy : a), Eq (F Xx) (F Xy) → Eq Xx Xy))
% 4.33/4.49 True
% 4.33/4.49 Clause #1 (by clausification #[0]): Eq
% 4.33/4.49 (∀ (F : a → b) (G : b → c),
% 4.33/4.49 (∀ (Xx Xy : a), Eq (G (F Xx)) (G (F Xy)) → Eq Xx Xy) → ∀ (Xx Xy : a), Eq (F Xx) (F Xy) → Eq Xx Xy)
% 4.33/4.49 False
% 4.33/4.49 Clause #2 (by clausification #[1]): ∀ (a_1 : a → b),
% 4.33/4.49 Eq
% 4.33/4.49 (Not
% 4.33/4.49 (∀ (G : b → c),
% 4.33/4.49 (∀ (Xx Xy : a), Eq (G (skS.0 0 a_1 Xx)) (G (skS.0 0 a_1 Xy)) → Eq Xx Xy) →
% 4.33/4.49 ∀ (Xx Xy : a), Eq (skS.0 0 a_1 Xx) (skS.0 0 a_1 Xy) → Eq Xx Xy))
% 4.33/4.49 True
% 4.33/4.49 Clause #3 (by clausification #[2]): ∀ (a_1 : a → b),
% 4.33/4.49 Eq
% 4.33/4.49 (∀ (G : b → c),
% 4.33/4.49 (∀ (Xx Xy : a), Eq (G (skS.0 0 a_1 Xx)) (G (skS.0 0 a_1 Xy)) → Eq Xx Xy) →
% 4.33/4.49 ∀ (Xx Xy : a), Eq (skS.0 0 a_1 Xx) (skS.0 0 a_1 Xy) → Eq Xx Xy)
% 4.33/4.49 False
% 4.33/4.49 Clause #4 (by clausification #[3]): ∀ (a_1 : a → b) (a_2 : b → c),
% 4.33/4.49 Eq
% 4.33/4.49 (Not
% 4.33/4.49 ((∀ (Xx Xy : a), Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 Xx)) (skS.0 1 a_1 a_2 (skS.0 0 a_1 Xy)) → Eq Xx Xy) →
% 4.33/4.49 ∀ (Xx Xy : a), Eq (skS.0 0 a_1 Xx) (skS.0 0 a_1 Xy) → Eq Xx Xy))
% 4.33/4.49 True
% 4.33/4.49 Clause #5 (by clausification #[4]): ∀ (a_1 : a → b) (a_2 : b → c),
% 4.33/4.49 Eq
% 4.33/4.49 ((∀ (Xx Xy : a), Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 Xx)) (skS.0 1 a_1 a_2 (skS.0 0 a_1 Xy)) → Eq Xx Xy) →
% 4.33/4.49 ∀ (Xx Xy : a), Eq (skS.0 0 a_1 Xx) (skS.0 0 a_1 Xy) → Eq Xx Xy)
% 4.33/4.49 False
% 4.33/4.49 Clause #6 (by clausification #[5]): ∀ (a_1 : a → b) (a_2 : b → c),
% 4.33/4.49 Eq (∀ (Xx Xy : a), Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 Xx)) (skS.0 1 a_1 a_2 (skS.0 0 a_1 Xy)) → Eq Xx Xy) True
% 4.33/4.49 Clause #7 (by clausification #[5]): ∀ (a_1 : a → b), Eq (∀ (Xx Xy : a), Eq (skS.0 0 a_1 Xx) (skS.0 0 a_1 Xy) → Eq Xx Xy) False
% 4.33/4.49 Clause #8 (by clausification #[6]): ∀ (a_1 : a → b) (a_2 : b → c) (a_3 : a),
% 4.33/4.49 Eq (∀ (Xy : a), Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 a_3)) (skS.0 1 a_1 a_2 (skS.0 0 a_1 Xy)) → Eq a_3 Xy) True
% 4.33/4.49 Clause #9 (by clausification #[8]): ∀ (a_1 : a → b) (a_2 : b → c) (a_3 a_4 : a),
% 4.33/4.49 Eq (Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 a_3)) (skS.0 1 a_1 a_2 (skS.0 0 a_1 a_4)) → Eq a_3 a_4) True
% 4.33/4.49 Clause #10 (by clausification #[9]): ∀ (a_1 : a → b) (a_2 : b → c) (a_3 a_4 : a),
% 4.33/4.49 Or (Eq (Eq (skS.0 1 a_1 a_2 (skS.0 0 a_1 a_3)) (skS.0 1 a_1 a_2 (skS.0 0 a_1 a_4))) False) (Eq (Eq a_3 a_4) True)
% 4.33/4.49 Clause #11 (by clausification #[10]): ∀ (a_1 a_2 : a) (a_3 : a → b) (a_4 : b → c),
% 4.33/4.49 Or (Eq (Eq a_1 a_2) True) (Ne (skS.0 1 a_3 a_4 (skS.0 0 a_3 a_1)) (skS.0 1 a_3 a_4 (skS.0 0 a_3 a_2)))
% 4.33/4.49 Clause #12 (by clausification #[11]): ∀ (a_1 : a → b) (a_2 : b → c) (a_3 a_4 : a),
% 4.33/4.49 Or (Ne (skS.0 1 a_1 a_2 (skS.0 0 a_1 a_3)) (skS.0 1 a_1 a_2 (skS.0 0 a_1 a_4))) (Eq a_3 a_4)
% 4.33/4.49 Clause #14 (by clausification #[7]): ∀ (a_1 : a → b) (a_2 : a),
% 4.33/4.49 Eq (Not (∀ (Xy : a), Eq (skS.0 0 a_1 (skS.0 2 a_1 a_2)) (skS.0 0 a_1 Xy) → Eq (skS.0 2 a_1 a_2) Xy)) True
% 4.33/4.49 Clause #15 (by clausification #[14]): ∀ (a_1 : a → b) (a_2 : a),
% 4.33/4.49 Eq (∀ (Xy : a), Eq (skS.0 0 a_1 (skS.0 2 a_1 a_2)) (skS.0 0 a_1 Xy) → Eq (skS.0 2 a_1 a_2) Xy) False
% 4.33/4.49 Clause #16 (by clausification #[15]): ∀ (a_1 : a → b) (a_2 a_3 : a),
% 4.33/4.49 Eq
% 4.33/4.49 (Not
% 4.33/4.49 (Eq (skS.0 0 a_1 (skS.0 2 a_1 a_2)) (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3)) →
% 4.33/4.49 Eq (skS.0 2 a_1 a_2) (skS.0 3 a_1 a_2 a_3)))
% 4.33/4.49 True
% 4.33/4.49 Clause #17 (by clausification #[16]): ∀ (a_1 : a → b) (a_2 a_3 : a),
% 4.33/4.49 Eq
% 4.33/4.49 (Eq (skS.0 0 a_1 (skS.0 2 a_1 a_2)) (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3)) →
% 4.33/4.49 Eq (skS.0 2 a_1 a_2) (skS.0 3 a_1 a_2 a_3))
% 4.33/4.49 False
% 4.33/4.49 Clause #18 (by clausification #[17]): ∀ (a_1 : a → b) (a_2 a_3 : a), Eq (Eq (skS.0 0 a_1 (skS.0 2 a_1 a_2)) (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3))) True
% 4.33/4.49 Clause #19 (by clausification #[17]): ∀ (a_1 : a → b) (a_2 a_3 : a), Eq (Eq (skS.0 2 a_1 a_2) (skS.0 3 a_1 a_2 a_3)) False
% 4.33/4.49 Clause #20 (by clausification #[18]): ∀ (a_1 : a → b) (a_2 a_3 : a), Eq (skS.0 0 a_1 (skS.0 2 a_1 a_2)) (skS.0 0 a_1 (skS.0 3 a_1 a_2 a_3))
% 4.33/4.50 Clause #21 (by superposition #[20, 12]): ∀ (a_1 : a → b) (a_2 : b → c) (a_3 a_4 a_5 : a),
% 4.33/4.50 Or (Ne (skS.0 1 a_1 a_2 (skS.0 0 a_1 (skS.0 2 a_1 a_3))) (skS.0 1 a_1 a_2 (skS.0 0 a_1 a_4)))
% 4.33/4.50 (Eq (skS.0 3 a_1 a_3 a_5) a_4)
% 4.33/4.50 Clause #23 (by clausification #[19]): ∀ (a_1 : a → b) (a_2 a_3 : a), Ne (skS.0 2 a_1 a_2) (skS.0 3 a_1 a_2 a_3)
% 4.33/4.50 Clause #24 (by equality resolution #[21]): ∀ (a_1 : a → b) (a_2 a_3 : a), Eq (skS.0 3 a_1 a_2 a_3) (skS.0 2 a_1 a_2)
% 4.33/4.50 Clause #26 (by forward contextual literal cutting #[24, 23]): False
% 4.33/4.50 SZS output end Proof for theBenchmark.p
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