TSTP Solution File: SYO169^5 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYO169^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n001.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 04:21:42 EDT 2023
% Result : Theorem 3.92s 4.11s
% Output : Proof 3.92s
% 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 : SYO169^5 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14 % Command : duper %s
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 00:45:44 EDT 2023
% 0.14/0.34 % CPUTime :
% 3.92/4.11 SZS status Theorem for theBenchmark.p
% 3.92/4.11 SZS output start Proof for theBenchmark.p
% 3.92/4.11 Clause #0 (by assumption #[]): Eq
% 3.92/4.11 (Not
% 3.92/4.11 (And (And (And (∀ (Xx : Iota), cP e Xx Xx) (∀ (Xy : Iota), cP Xy e Xy)) (∀ (Xz : Iota), cP Xz Xz e))
% 3.92/4.11 (∀ (Xx Xy Xz Xxy Xyz Xxyz : Iota), And (cP Xx Xy Xxy) (cP Xy Xz Xyz) → Iff (cP Xxy Xz Xxyz) (cPx Xyz Xxyz)) →
% 3.92/4.11 cP a b ab → cP b a ab))
% 3.92/4.11 True
% 3.92/4.11 Clause #1 (by clausification #[0]): Eq
% 3.92/4.11 (And (And (And (∀ (Xx : Iota), cP e Xx Xx) (∀ (Xy : Iota), cP Xy e Xy)) (∀ (Xz : Iota), cP Xz Xz e))
% 3.92/4.11 (∀ (Xx Xy Xz Xxy Xyz Xxyz : Iota), And (cP Xx Xy Xxy) (cP Xy Xz Xyz) → Iff (cP Xxy Xz Xxyz) (cPx Xyz Xxyz)) →
% 3.92/4.11 cP a b ab → cP b a ab)
% 3.92/4.11 False
% 3.92/4.11 Clause #2 (by clausification #[1]): Eq
% 3.92/4.11 (And (And (And (∀ (Xx : Iota), cP e Xx Xx) (∀ (Xy : Iota), cP Xy e Xy)) (∀ (Xz : Iota), cP Xz Xz e))
% 3.92/4.11 (∀ (Xx Xy Xz Xxy Xyz Xxyz : Iota), And (cP Xx Xy Xxy) (cP Xy Xz Xyz) → Iff (cP Xxy Xz Xxyz) (cPx Xyz Xxyz)))
% 3.92/4.11 True
% 3.92/4.11 Clause #3 (by clausification #[1]): Eq (cP a b ab → cP b a ab) False
% 3.92/4.11 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) (cPx Xyz Xxyz)) True
% 3.92/4.11 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
% 3.92/4.11 Clause #6 (by clausification #[4]): ∀ (a : Iota),
% 3.92/4.11 Eq (∀ (Xy Xz Xxy Xyz Xxyz : Iota), And (cP a Xy Xxy) (cP Xy Xz Xyz) → Iff (cP Xxy Xz Xxyz) (cPx Xyz Xxyz)) True
% 3.92/4.11 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota),
% 3.92/4.11 Eq (∀ (Xz Xxy Xyz Xxyz : Iota), And (cP a a_1 Xxy) (cP a_1 Xz Xyz) → Iff (cP Xxy Xz Xxyz) (cPx Xyz Xxyz)) True
% 3.92/4.11 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 : Iota),
% 3.92/4.11 Eq (∀ (Xxy Xyz Xxyz : Iota), And (cP a a_1 Xxy) (cP a_1 a_2 Xyz) → Iff (cP Xxy a_2 Xxyz) (cPx Xyz Xxyz)) True
% 3.92/4.11 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.92/4.11 Eq (∀ (Xyz Xxyz : Iota), And (cP a a_1 a_2) (cP a_1 a_3 Xyz) → Iff (cP a_2 a_3 Xxyz) (cPx Xyz Xxyz)) True
% 3.92/4.11 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.92/4.11 Eq (∀ (Xxyz : Iota), And (cP a a_1 a_2) (cP a_1 a_3 a_4) → Iff (cP a_2 a_3 Xxyz) (cPx a_4 Xxyz)) True
% 3.92/4.11 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) (cPx a_4 a_5)) True
% 3.92/4.11 Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 3.92/4.11 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) (cPx a_4 a_5)) True)
% 3.92/4.11 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 3.92/4.11 Or (Eq (Iff (cP a a_1 a_2) (cPx a_3 a_2)) True) (Or (Eq (cP a_4 a_5 a) False) (Eq (cP a_5 a_1 a_3) False))
% 3.92/4.11 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 3.92/4.11 Or (Eq (cP a a_1 a_2) False) (Or (Eq (cP a_1 a_3 a_4) False) (Or (Eq (cP a_2 a_3 a_5) True) (Eq (cPx a_4 a_5) False)))
% 3.92/4.11 Clause #15 (by clausification #[13]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 3.92/4.11 Or (Eq (cP a a_1 a_2) False) (Or (Eq (cP a_1 a_3 a_4) False) (Or (Eq (cP a_2 a_3 a_5) False) (Eq (cPx a_4 a_5) True)))
% 3.92/4.11 Clause #16 (by clausification #[3]): Eq (cP a b ab) True
% 3.92/4.11 Clause #17 (by clausification #[3]): Eq (cP b a ab) False
% 3.92/4.11 Clause #18 (by superposition #[16, 14]): ∀ (a a_1 a_2 : Iota),
% 3.92/4.11 Or (Eq True False) (Or (Eq (cP b a a_1) False) (Or (Eq (cP ab a a_2) True) (Eq (cPx a_1 a_2) False)))
% 3.92/4.11 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP b a a_1) False) (Or (Eq (cP ab a a_2) True) (Eq (cPx a_1 a_2) False))
% 3.92/4.11 Clause #20 (by clausification #[5]): Eq (∀ (Xz : Iota), cP Xz Xz e) True
% 3.92/4.11 Clause #21 (by clausification #[5]): Eq (And (∀ (Xx : Iota), cP e Xx Xx) (∀ (Xy : Iota), cP Xy e Xy)) True
% 3.92/4.11 Clause #22 (by clausification #[20]): ∀ (a : Iota), Eq (cP a a e) True
% 3.92/4.11 Clause #23 (by superposition #[22, 14]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.92/4.11 Or (Eq True False) (Or (Eq (cP a a_1 a_2) False) (Or (Eq (cP e a_1 a_3) True) (Eq (cPx a_2 a_3) False)))
% 3.92/4.11 Clause #24 (by superposition #[22, 19]): ∀ (a : Iota), Or (Eq True False) (Or (Eq (cP ab b a) True) (Eq (cPx e a) False))
% 3.92/4.14 Clause #25 (by superposition #[15, 16]): ∀ (a a_1 a_2 : Iota),
% 3.92/4.14 Or (Eq True False) (Or (Eq (cP b a a_1) False) (Or (Eq (cP ab a a_2) False) (Eq (cPx a_1 a_2) True)))
% 3.92/4.14 Clause #26 (by superposition #[15, 22]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.92/4.14 Or (Eq True False) (Or (Eq (cP a a_1 a_2) False) (Or (Eq (cP e a_1 a_3) False) (Eq (cPx a_2 a_3) True)))
% 3.92/4.14 Clause #27 (by clausification #[24]): ∀ (a : Iota), Or (Eq (cP ab b a) True) (Eq (cPx e a) False)
% 3.92/4.14 Clause #28 (by clausification #[21]): Eq (∀ (Xy : Iota), cP Xy e Xy) True
% 3.92/4.14 Clause #29 (by clausification #[21]): Eq (∀ (Xx : Iota), cP e Xx Xx) True
% 3.92/4.14 Clause #30 (by clausification #[28]): ∀ (a : Iota), Eq (cP a e a) True
% 3.92/4.14 Clause #31 (by superposition #[30, 14]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.92/4.14 Or (Eq True False) (Or (Eq (cP e a a_1) False) (Or (Eq (cP a_2 a a_3) True) (Eq (cPx a_1 a_3) False)))
% 3.92/4.14 Clause #33 (by superposition #[30, 15]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.92/4.14 Or (Eq True False) (Or (Eq (cP e a a_1) False) (Or (Eq (cP a_2 a a_3) False) (Eq (cPx a_1 a_3) True)))
% 3.92/4.14 Clause #34 (by clausification #[29]): ∀ (a : Iota), Eq (cP e a a) True
% 3.92/4.14 Clause #38 (by clausification #[23]): ∀ (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) True) (Eq (cPx a_2 a_3) False))
% 3.92/4.14 Clause #42 (by superposition #[38, 34]): ∀ (a a_1 : Iota), Or (Eq (cP e a a_1) True) (Or (Eq (cPx a a_1) False) (Eq False True))
% 3.92/4.14 Clause #43 (by clausification #[25]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP b a a_1) False) (Or (Eq (cP ab a a_2) False) (Eq (cPx a_1 a_2) True))
% 3.92/4.14 Clause #45 (by superposition #[43, 30]): ∀ (a : Iota), Or (Eq (cP ab e a) False) (Or (Eq (cPx b a) True) (Eq False True))
% 3.92/4.14 Clause #46 (by clausification #[45]): ∀ (a : Iota), Or (Eq (cP ab e a) False) (Eq (cPx b a) True)
% 3.92/4.14 Clause #52 (by clausification #[42]): ∀ (a a_1 : Iota), Or (Eq (cP e a a_1) True) (Eq (cPx a a_1) False)
% 3.92/4.14 Clause #54 (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 (cPx a_2 a_3) True))
% 3.92/4.14 Clause #56 (by superposition #[54, 22]): ∀ (a a_1 : Iota), Or (Eq (cP e a a_1) False) (Or (Eq (cPx e a_1) True) (Eq False True))
% 3.92/4.14 Clause #62 (by clausification #[56]): ∀ (a a_1 : Iota), Or (Eq (cP e a a_1) False) (Eq (cPx e a_1) True)
% 3.92/4.14 Clause #65 (by superposition #[62, 34]): ∀ (a : Iota), Or (Eq (cPx e a) True) (Eq False True)
% 3.92/4.14 Clause #66 (by clausification #[65]): ∀ (a : Iota), Eq (cPx e a) True
% 3.92/4.14 Clause #67 (by backward demodulation #[66, 27]): ∀ (a : Iota), Or (Eq (cP ab b a) True) (Eq True False)
% 3.92/4.14 Clause #70 (by superposition #[66, 52]): ∀ (a : Iota), Or (Eq (cP e e a) True) (Eq True False)
% 3.92/4.14 Clause #73 (by clausification #[31]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cP e a a_1) False) (Or (Eq (cP a_2 a a_3) True) (Eq (cPx a_1 a_3) False))
% 3.92/4.14 Clause #77 (by clausification #[67]): ∀ (a : Iota), Eq (cP ab b a) True
% 3.92/4.14 Clause #82 (by clausification #[70]): ∀ (a : Iota), Eq (cP e e a) True
% 3.92/4.14 Clause #85 (by superposition #[82, 73]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Or (Eq (cP a e a_1) True) (Eq (cPx a_2 a_1) False))
% 3.92/4.14 Clause #86 (by clausification #[85]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a e a_1) True) (Eq (cPx a_2 a_1) False)
% 3.92/4.14 Clause #88 (by superposition #[86, 66]): ∀ (a a_1 : Iota), Or (Eq (cP a e a_1) True) (Eq False True)
% 3.92/4.14 Clause #89 (by clausification #[33]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cP e a a_1) False) (Or (Eq (cP a_2 a a_3) False) (Eq (cPx a_1 a_3) True))
% 3.92/4.14 Clause #94 (by clausification #[88]): ∀ (a a_1 : Iota), Eq (cP a e a_1) True
% 3.92/4.14 Clause #95 (by superposition #[94, 46]): ∀ (a : Iota), Or (Eq True False) (Eq (cPx b a) True)
% 3.92/4.14 Clause #99 (by clausification #[95]): ∀ (a : Iota), Eq (cPx b a) True
% 3.92/4.14 Clause #101 (by superposition #[99, 52]): ∀ (a : Iota), Or (Eq (cP e b a) True) (Eq True False)
% 3.92/4.14 Clause #102 (by clausification #[101]): ∀ (a : Iota), Eq (cP e b a) True
% 3.92/4.14 Clause #104 (by superposition #[102, 89]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Or (Eq (cP a b a_1) False) (Eq (cPx a_2 a_1) True))
% 3.92/4.14 Clause #112 (by clausification #[104]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a b a_1) False) (Eq (cPx a_2 a_1) True)
% 3.92/4.14 Clause #115 (by superposition #[112, 77]): ∀ (a a_1 : Iota), Or (Eq (cPx a a_1) True) (Eq False True)
% 3.92/4.14 Clause #119 (by clausification #[115]): ∀ (a a_1 : Iota), Eq (cPx a a_1) True
% 3.92/4.14 Clause #120 (by backward demodulation #[119, 52]): ∀ (a a_1 : Iota), Or (Eq (cP e a a_1) True) (Eq True False)
% 3.92/4.14 Clause #128 (by clausification #[120]): ∀ (a a_1 : Iota), Eq (cP e a a_1) True
% 3.92/4.14 Clause #130 (by superposition #[128, 73]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq True False) (Or (Eq (cP a a_1 a_2) True) (Eq (cPx a_3 a_2) False))
% 3.92/4.14 Clause #155 (by clausification #[130]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cP a a_1 a_2) True) (Eq (cPx a_3 a_2) False)
% 3.92/4.14 Clause #156 (by superposition #[155, 119]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a a_1 a_2) True) (Eq False True)
% 3.92/4.14 Clause #157 (by clausification #[156]): ∀ (a a_1 a_2 : Iota), Eq (cP a a_1 a_2) True
% 3.92/4.14 Clause #158 (by superposition #[157, 17]): Eq True False
% 3.92/4.14 Clause #159 (by clausification #[158]): False
% 3.92/4.14 SZS output end Proof for theBenchmark.p
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