TSTP Solution File: SYO170^5 by Duper---1.0

View Problem - Process Solution

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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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