TSTP Solution File: SYO170^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SYO170^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n026.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 : Fri Sep 1 04:21:43 EDT 2023
% Result : Theorem 6.02s 6.22s
% Output : Proof 6.07s
% 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 : SYO170^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : duper %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 05:46:03 EDT 2023
% 0.19/0.33 % CPUTime :
% 6.02/6.22 SZS status Theorem for theBenchmark.p
% 6.02/6.22 SZS output start Proof for theBenchmark.p
% 6.02/6.22 Clause #0 (by assumption #[]): Eq
% 6.02/6.22 (Not
% 6.02/6.22 (And (And (And (∀ (Xx : Iota), cP e Xx Xx) (∀ (Xy : Iota), cP Xy e Xy)) (∀ (Xz : Iota), cP Xz Xz e))
% 6.02/6.22 (∀ (Xx Xy Xz Xxy Xyz Xxyz : Iota), And (cP Xx Xy Xxy) (cP Xy Xz Xyz) → Iff (cP Xxy Xz Xxyz) (cP Xx Xyz Xxyz)) →
% 6.02/6.22 cP a b ab → cP b a ab))
% 6.02/6.22 True
% 6.02/6.22 Clause #1 (by clausification #[0]): Eq
% 6.02/6.22 (And (And (And (∀ (Xx : Iota), cP e Xx Xx) (∀ (Xy : Iota), cP Xy e Xy)) (∀ (Xz : Iota), cP Xz Xz e))
% 6.02/6.22 (∀ (Xx Xy Xz Xxy Xyz Xxyz : Iota), And (cP Xx Xy Xxy) (cP Xy Xz Xyz) → Iff (cP Xxy Xz Xxyz) (cP Xx Xyz Xxyz)) →
% 6.02/6.22 cP a b ab → cP b a ab)
% 6.02/6.22 False
% 6.02/6.22 Clause #2 (by clausification #[1]): Eq
% 6.02/6.22 (And (And (And (∀ (Xx : Iota), cP e Xx Xx) (∀ (Xy : Iota), cP Xy e Xy)) (∀ (Xz : Iota), cP Xz Xz e))
% 6.02/6.22 (∀ (Xx Xy Xz Xxy Xyz Xxyz : Iota), And (cP Xx Xy Xxy) (cP Xy Xz Xyz) → Iff (cP Xxy Xz Xxyz) (cP Xx Xyz Xxyz)))
% 6.02/6.22 True
% 6.02/6.22 Clause #3 (by clausification #[1]): Eq (cP a b ab → cP b a ab) False
% 6.02/6.22 Clause #4 (by clausification #[2]): Eq (∀ (Xx Xy Xz Xxy Xyz Xxyz : Iota), And (cP Xx Xy Xxy) (cP Xy Xz Xyz) → Iff (cP Xxy Xz Xxyz) (cP Xx Xyz Xxyz)) True
% 6.02/6.22 Clause #5 (by clausification #[2]): Eq (And (And (∀ (Xx : Iota), cP e Xx Xx) (∀ (Xy : Iota), cP Xy e Xy)) (∀ (Xz : Iota), cP Xz Xz e)) True
% 6.02/6.22 Clause #6 (by clausification #[4]): ∀ (a : Iota),
% 6.02/6.22 Eq (∀ (Xy Xz Xxy Xyz Xxyz : Iota), And (cP a Xy Xxy) (cP Xy Xz Xyz) → Iff (cP Xxy Xz Xxyz) (cP a Xyz Xxyz)) True
% 6.02/6.22 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota),
% 6.02/6.22 Eq (∀ (Xz Xxy Xyz Xxyz : Iota), And (cP a a_1 Xxy) (cP a_1 Xz Xyz) → Iff (cP Xxy Xz Xxyz) (cP a Xyz Xxyz)) True
% 6.02/6.22 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 : Iota),
% 6.02/6.22 Eq (∀ (Xxy Xyz Xxyz : Iota), And (cP a a_1 Xxy) (cP a_1 a_2 Xyz) → Iff (cP Xxy a_2 Xxyz) (cP a Xyz Xxyz)) True
% 6.02/6.22 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.02/6.22 Eq (∀ (Xyz Xxyz : Iota), And (cP a a_1 a_2) (cP a_1 a_3 Xyz) → Iff (cP a_2 a_3 Xxyz) (cP a Xyz Xxyz)) True
% 6.02/6.22 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 6.02/6.22 Eq (∀ (Xxyz : Iota), And (cP a a_1 a_2) (cP a_1 a_3 a_4) → Iff (cP a_2 a_3 Xxyz) (cP a a_4 Xxyz)) True
% 6.02/6.22 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (And (cP a a_1 a_2) (cP a_1 a_3 a_4) → Iff (cP a_2 a_3 a_5) (cP a a_4 a_5)) True
% 6.02/6.22 Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.02/6.22 Or (Eq (And (cP a a_1 a_2) (cP a_1 a_3 a_4)) False) (Eq (Iff (cP a_2 a_3 a_5) (cP a a_4 a_5)) True)
% 6.02/6.22 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.02/6.22 Or (Eq (Iff (cP a a_1 a_2) (cP a_3 a_4 a_2)) True) (Or (Eq (cP a_3 a_5 a) False) (Eq (cP a_5 a_1 a_4) False))
% 6.02/6.22 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.02/6.22 Or (Eq (cP a a_1 a_2) False)
% 6.02/6.22 (Or (Eq (cP a_1 a_3 a_4) False) (Or (Eq (cP a_2 a_3 a_5) True) (Eq (cP a a_4 a_5) False)))
% 6.02/6.22 Clause #15 (by clausification #[13]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.02/6.22 Or (Eq (cP a a_1 a_2) False)
% 6.02/6.22 (Or (Eq (cP a_1 a_3 a_4) False) (Or (Eq (cP a_2 a_3 a_5) False) (Eq (cP a a_4 a_5) True)))
% 6.02/6.22 Clause #16 (by clausification #[3]): Eq (cP a b ab) True
% 6.02/6.22 Clause #17 (by clausification #[3]): Eq (cP b a ab) False
% 6.02/6.22 Clause #18 (by superposition #[16, 14]): ∀ (a_1 a_2 a_3 : Iota),
% 6.02/6.22 Or (Eq True False) (Or (Eq (cP b a_1 a_2) False) (Or (Eq (cP ab a_1 a_3) True) (Eq (cP a a_2 a_3) False)))
% 6.02/6.22 Clause #19 (by clausification #[18]): ∀ (a_1 a_2 a_3 : Iota), Or (Eq (cP b a_1 a_2) False) (Or (Eq (cP ab a_1 a_3) True) (Eq (cP a a_2 a_3) False))
% 6.02/6.22 Clause #20 (by clausification #[5]): Eq (∀ (Xz : Iota), cP Xz Xz e) True
% 6.02/6.22 Clause #21 (by clausification #[5]): Eq (And (∀ (Xx : Iota), cP e Xx Xx) (∀ (Xy : Iota), cP Xy e Xy)) True
% 6.02/6.22 Clause #22 (by clausification #[20]): ∀ (a : Iota), Eq (cP a a e) True
% 6.02/6.22 Clause #24 (by superposition #[22, 19]): ∀ (a_1 : Iota), Or (Eq True False) (Or (Eq (cP ab b a_1) True) (Eq (cP a e a_1) False))
% 6.02/6.22 Clause #26 (by superposition #[15, 22]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.02/6.22 Or (Eq True False) (Or (Eq (cP a a_1 a_2) False) (Or (Eq (cP e a_1 a_3) False) (Eq (cP a a_2 a_3) True)))
% 6.07/6.24 Clause #27 (by clausification #[24]): ∀ (a_1 : Iota), Or (Eq (cP ab b a_1) True) (Eq (cP a e a_1) False)
% 6.07/6.24 Clause #28 (by clausification #[21]): Eq (∀ (Xy : Iota), cP Xy e Xy) True
% 6.07/6.24 Clause #29 (by clausification #[21]): Eq (∀ (Xx : Iota), cP e Xx Xx) True
% 6.07/6.24 Clause #30 (by clausification #[28]): ∀ (a : Iota), Eq (cP a e a) True
% 6.07/6.24 Clause #31 (by superposition #[30, 27]): Or (Eq (cP ab b a) True) (Eq True False)
% 6.07/6.24 Clause #35 (by clausification #[29]): ∀ (a : Iota), Eq (cP e a a) True
% 6.07/6.24 Clause #38 (by clausification #[31]): Eq (cP ab b a) True
% 6.07/6.24 Clause #64 (by clausification #[26]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cP a a_1 a_2) False) (Or (Eq (cP e a_1 a_3) False) (Eq (cP a a_2 a_3) True))
% 6.07/6.24 Clause #66 (by superposition #[64, 38]): ∀ (a_1 : Iota), Or (Eq (cP e b a_1) False) (Or (Eq (cP ab a a_1) True) (Eq False True))
% 6.07/6.24 Clause #80 (by clausification #[66]): ∀ (a_1 : Iota), Or (Eq (cP e b a_1) False) (Eq (cP ab a a_1) True)
% 6.07/6.24 Clause #81 (by superposition #[80, 35]): Or (Eq (cP ab a b) True) (Eq False True)
% 6.07/6.24 Clause #82 (by clausification #[81]): Eq (cP ab a b) True
% 6.07/6.24 Clause #83 (by superposition #[82, 14]): ∀ (a_1 a_2 a_3 : Iota),
% 6.07/6.24 Or (Eq True False) (Or (Eq (cP a a_1 a_2) False) (Or (Eq (cP b a_1 a_3) True) (Eq (cP ab a_2 a_3) False)))
% 6.07/6.24 Clause #154 (by clausification #[83]): ∀ (a_1 a_2 a_3 : Iota), Or (Eq (cP a a_1 a_2) False) (Or (Eq (cP b a_1 a_3) True) (Eq (cP ab a_2 a_3) False))
% 6.07/6.24 Clause #157 (by superposition #[154, 22]): ∀ (a_1 : Iota), Or (Eq (cP b a a_1) True) (Or (Eq (cP ab e a_1) False) (Eq False True))
% 6.07/6.24 Clause #162 (by clausification #[157]): ∀ (a_1 : Iota), Or (Eq (cP b a a_1) True) (Eq (cP ab e a_1) False)
% 6.07/6.24 Clause #163 (by superposition #[162, 30]): Or (Eq (cP b a ab) True) (Eq False True)
% 6.07/6.24 Clause #164 (by clausification #[163]): Eq (cP b a ab) True
% 6.07/6.24 Clause #165 (by superposition #[164, 17]): Eq True False
% 6.07/6.24 Clause #176 (by clausification #[165]): False
% 6.07/6.24 SZS output end Proof for theBenchmark.p
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