TSTP Solution File: SYO383^5 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYO383^5 : 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 04:22:19 EDT 2023
% Result : Theorem 4.49s 4.66s
% Output : Proof 4.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYO383^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : duper %s
% 0.16/0.37 % Computer : n026.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sat Aug 26 05:34:03 EDT 2023
% 0.16/0.37 % CPUTime :
% 4.49/4.66 SZS status Theorem for theBenchmark.p
% 4.49/4.66 SZS output start Proof for theBenchmark.p
% 4.49/4.66 Clause #0 (by assumption #[]): Eq
% 4.49/4.66 (Not
% 4.49/4.66 (Not
% 4.49/4.66 (And
% 4.49/4.66 (And
% 4.49/4.66 (And (And (And (And (And (cQ_1 a b c) (cP_1 a a)) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_1 d Xx))
% 4.49/4.66 (∀ (Xx Xy : Iota), Or (Not (cP_1 Xx Xy)) (cP_1 (f Xx) Xy)))
% 4.49/4.66 (∀ (Xx Xy Xz Xu Xv Xw : Iota),
% 4.49/4.66 Or (Or (Or (Or (Not (cQ_1 Xx Xy Xz)) (Not (cP_1 (f Xx) Xu))) (Not (cP_1 (f Xy) Xv))) (Not (cP_1 (f Xz) Xw)))
% 4.49/4.66 (cQ_2 Xu Xv Xw)))
% 4.49/4.66 (∀ (Xx Xy Xz : Iota), Not (cQ_2 Xx Xy Xz)))))
% 4.49/4.66 True
% 4.49/4.66 Clause #1 (by clausification #[0]): Eq
% 4.49/4.66 (Not
% 4.49/4.66 (And
% 4.49/4.66 (And
% 4.49/4.66 (And (And (And (And (And (cQ_1 a b c) (cP_1 a a)) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_1 d Xx))
% 4.49/4.66 (∀ (Xx Xy : Iota), Or (Not (cP_1 Xx Xy)) (cP_1 (f Xx) Xy)))
% 4.49/4.66 (∀ (Xx Xy Xz Xu Xv Xw : Iota),
% 4.49/4.66 Or (Or (Or (Or (Not (cQ_1 Xx Xy Xz)) (Not (cP_1 (f Xx) Xu))) (Not (cP_1 (f Xy) Xv))) (Not (cP_1 (f Xz) Xw)))
% 4.49/4.66 (cQ_2 Xu Xv Xw)))
% 4.49/4.66 (∀ (Xx Xy Xz : Iota), Not (cQ_2 Xx Xy Xz))))
% 4.49/4.66 False
% 4.49/4.66 Clause #2 (by clausification #[1]): Eq
% 4.49/4.66 (And
% 4.49/4.66 (And
% 4.49/4.66 (And (And (And (And (And (cQ_1 a b c) (cP_1 a a)) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_1 d Xx))
% 4.49/4.66 (∀ (Xx Xy : Iota), Or (Not (cP_1 Xx Xy)) (cP_1 (f Xx) Xy)))
% 4.49/4.66 (∀ (Xx Xy Xz Xu Xv Xw : Iota),
% 4.49/4.66 Or (Or (Or (Or (Not (cQ_1 Xx Xy Xz)) (Not (cP_1 (f Xx) Xu))) (Not (cP_1 (f Xy) Xv))) (Not (cP_1 (f Xz) Xw)))
% 4.49/4.66 (cQ_2 Xu Xv Xw)))
% 4.49/4.66 (∀ (Xx Xy Xz : Iota), Not (cQ_2 Xx Xy Xz)))
% 4.49/4.66 True
% 4.49/4.66 Clause #3 (by clausification #[2]): Eq (∀ (Xx Xy Xz : Iota), Not (cQ_2 Xx Xy Xz)) True
% 4.49/4.66 Clause #4 (by clausification #[2]): Eq
% 4.49/4.66 (And
% 4.49/4.66 (And (And (And (And (And (cQ_1 a b c) (cP_1 a a)) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_1 d Xx))
% 4.49/4.66 (∀ (Xx Xy : Iota), Or (Not (cP_1 Xx Xy)) (cP_1 (f Xx) Xy)))
% 4.49/4.66 (∀ (Xx Xy Xz Xu Xv Xw : Iota),
% 4.49/4.66 Or (Or (Or (Or (Not (cQ_1 Xx Xy Xz)) (Not (cP_1 (f Xx) Xu))) (Not (cP_1 (f Xy) Xv))) (Not (cP_1 (f Xz) Xw)))
% 4.49/4.66 (cQ_2 Xu Xv Xw)))
% 4.49/4.66 True
% 4.49/4.66 Clause #5 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (Xy Xz : Iota), Not (cQ_2 a Xy Xz)) True
% 4.49/4.66 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Eq (∀ (Xz : Iota), Not (cQ_2 a a_1 Xz)) True
% 4.49/4.66 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 : Iota), Eq (Not (cQ_2 a a_1 a_2)) True
% 4.49/4.66 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 : Iota), Eq (cQ_2 a a_1 a_2) False
% 4.49/4.66 Clause #9 (by clausification #[4]): Eq
% 4.49/4.66 (∀ (Xx Xy Xz Xu Xv Xw : Iota),
% 4.49/4.66 Or (Or (Or (Or (Not (cQ_1 Xx Xy Xz)) (Not (cP_1 (f Xx) Xu))) (Not (cP_1 (f Xy) Xv))) (Not (cP_1 (f Xz) Xw)))
% 4.49/4.66 (cQ_2 Xu Xv Xw))
% 4.49/4.66 True
% 4.49/4.66 Clause #10 (by clausification #[4]): Eq
% 4.49/4.66 (And (And (And (And (And (cQ_1 a b c) (cP_1 a a)) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_1 d Xx))
% 4.49/4.66 (∀ (Xx Xy : Iota), Or (Not (cP_1 Xx Xy)) (cP_1 (f Xx) Xy)))
% 4.49/4.66 True
% 4.49/4.66 Clause #11 (by clausification #[9]): ∀ (a : Iota),
% 4.49/4.66 Eq
% 4.49/4.66 (∀ (Xy Xz Xu Xv Xw : Iota),
% 4.49/4.66 Or (Or (Or (Or (Not (cQ_1 a Xy Xz)) (Not (cP_1 (f a) Xu))) (Not (cP_1 (f Xy) Xv))) (Not (cP_1 (f Xz) Xw)))
% 4.49/4.66 (cQ_2 Xu Xv Xw))
% 4.49/4.66 True
% 4.49/4.66 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota),
% 4.49/4.66 Eq
% 4.49/4.66 (∀ (Xz Xu Xv Xw : Iota),
% 4.49/4.66 Or (Or (Or (Or (Not (cQ_1 a a_1 Xz)) (Not (cP_1 (f a) Xu))) (Not (cP_1 (f a_1) Xv))) (Not (cP_1 (f Xz) Xw)))
% 4.49/4.66 (cQ_2 Xu Xv Xw))
% 4.49/4.66 True
% 4.49/4.66 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 : Iota),
% 4.49/4.66 Eq
% 4.49/4.66 (∀ (Xu Xv Xw : Iota),
% 4.49/4.66 Or (Or (Or (Or (Not (cQ_1 a a_1 a_2)) (Not (cP_1 (f a) Xu))) (Not (cP_1 (f a_1) Xv))) (Not (cP_1 (f a_2) Xw)))
% 4.49/4.66 (cQ_2 Xu Xv Xw))
% 4.49/4.66 True
% 4.49/4.66 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.49/4.66 Eq
% 4.49/4.66 (∀ (Xv Xw : Iota),
% 4.49/4.66 Or (Or (Or (Or (Not (cQ_1 a a_1 a_2)) (Not (cP_1 (f a) a_3))) (Not (cP_1 (f a_1) Xv))) (Not (cP_1 (f a_2) Xw)))
% 4.49/4.66 (cQ_2 a_3 Xv Xw))
% 4.49/4.66 True
% 4.49/4.66 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 4.49/4.66 Eq
% 4.49/4.66 (∀ (Xw : Iota),
% 4.49/4.66 Or (Or (Or (Or (Not (cQ_1 a a_1 a_2)) (Not (cP_1 (f a) a_3))) (Not (cP_1 (f a_1) a_4))) (Not (cP_1 (f a_2) Xw)))
% 4.49/4.66 (cQ_2 a_3 a_4 Xw))
% 4.49/4.69 True
% 4.49/4.69 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 4.49/4.69 Eq
% 4.49/4.69 (Or (Or (Or (Or (Not (cQ_1 a a_1 a_2)) (Not (cP_1 (f a) a_3))) (Not (cP_1 (f a_1) a_4))) (Not (cP_1 (f a_2) a_5)))
% 4.49/4.69 (cQ_2 a_3 a_4 a_5))
% 4.49/4.69 True
% 4.49/4.69 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 4.49/4.69 Or
% 4.49/4.69 (Eq (Or (Or (Or (Not (cQ_1 a a_1 a_2)) (Not (cP_1 (f a) a_3))) (Not (cP_1 (f a_1) a_4))) (Not (cP_1 (f a_2) a_5)))
% 4.49/4.69 True)
% 4.49/4.69 (Eq (cQ_2 a_3 a_4 a_5) True)
% 4.49/4.69 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 4.49/4.69 Or (Eq (cQ_2 a a_1 a_2) True)
% 4.49/4.69 (Or (Eq (Or (Or (Not (cQ_1 a_3 a_4 a_5)) (Not (cP_1 (f a_3) a))) (Not (cP_1 (f a_4) a_1))) True)
% 4.49/4.69 (Eq (Not (cP_1 (f a_5) a_2)) True))
% 4.49/4.69 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 4.49/4.69 Or (Eq (cQ_2 a a_1 a_2) True)
% 4.49/4.69 (Or (Eq (Not (cP_1 (f a_3) a_2)) True)
% 4.49/4.69 (Or (Eq (Or (Not (cQ_1 a_4 a_5 a_3)) (Not (cP_1 (f a_4) a))) True) (Eq (Not (cP_1 (f a_5) a_1)) True)))
% 4.49/4.69 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 4.49/4.69 Or (Eq (cQ_2 a a_1 a_2) True)
% 4.49/4.69 (Or (Eq (Or (Not (cQ_1 a_3 a_4 a_5)) (Not (cP_1 (f a_3) a))) True)
% 4.49/4.69 (Or (Eq (Not (cP_1 (f a_4) a_1)) True) (Eq (cP_1 (f a_5) a_2) False)))
% 4.49/4.69 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 4.49/4.69 Or (Eq (cQ_2 a a_1 a_2) True)
% 4.49/4.69 (Or (Eq (Not (cP_1 (f a_3) a_1)) True)
% 4.49/4.69 (Or (Eq (cP_1 (f a_4) a_2) False) (Or (Eq (Not (cQ_1 a_5 a_3 a_4)) True) (Eq (Not (cP_1 (f a_5) a)) True))))
% 4.49/4.69 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 4.49/4.69 Or (Eq (cQ_2 a a_1 a_2) True)
% 4.49/4.69 (Or (Eq (cP_1 (f a_3) a_2) False)
% 4.49/4.69 (Or (Eq (Not (cQ_1 a_4 a_5 a_3)) True) (Or (Eq (Not (cP_1 (f a_4) a)) True) (Eq (cP_1 (f a_5) a_1) False))))
% 4.49/4.69 Clause #23 (by clausification #[22]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 4.49/4.69 Or (Eq (cQ_2 a a_1 a_2) True)
% 4.49/4.69 (Or (Eq (cP_1 (f a_3) a_2) False)
% 4.49/4.69 (Or (Eq (Not (cP_1 (f a_4) a)) True) (Or (Eq (cP_1 (f a_5) a_1) False) (Eq (cQ_1 a_4 a_5 a_3) False))))
% 4.49/4.69 Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 4.49/4.69 Or (Eq (cQ_2 a a_1 a_2) True)
% 4.49/4.69 (Or (Eq (cP_1 (f a_3) a_2) False)
% 4.49/4.69 (Or (Eq (cP_1 (f a_4) a_1) False) (Or (Eq (cQ_1 a_5 a_4 a_3) False) (Eq (cP_1 (f a_5) a) False))))
% 4.49/4.69 Clause #25 (by clausification #[10]): Eq (∀ (Xx Xy : Iota), Or (Not (cP_1 Xx Xy)) (cP_1 (f Xx) Xy)) True
% 4.49/4.69 Clause #26 (by clausification #[10]): Eq (And (And (And (And (cQ_1 a b c) (cP_1 a a)) (cP_1 b b)) (cP_1 c c)) (∀ (Xx : Iota), cP_1 d Xx)) True
% 4.49/4.69 Clause #27 (by clausification #[25]): ∀ (a : Iota), Eq (∀ (Xy : Iota), Or (Not (cP_1 a Xy)) (cP_1 (f a) Xy)) True
% 4.49/4.69 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota), Eq (Or (Not (cP_1 a a_1)) (cP_1 (f a) a_1)) True
% 4.49/4.69 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), Or (Eq (Not (cP_1 a a_1)) True) (Eq (cP_1 (f a) a_1) True)
% 4.49/4.69 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota), Or (Eq (cP_1 (f a) a_1) True) (Eq (cP_1 a a_1) False)
% 4.49/4.69 Clause #32 (by clausification #[26]): Eq (And (And (And (cQ_1 a b c) (cP_1 a a)) (cP_1 b b)) (cP_1 c c)) True
% 4.49/4.69 Clause #38 (by clausification #[32]): Eq (cP_1 c c) True
% 4.49/4.69 Clause #39 (by clausification #[32]): Eq (And (And (cQ_1 a b c) (cP_1 a a)) (cP_1 b b)) True
% 4.49/4.69 Clause #40 (by superposition #[38, 30]): Or (Eq (cP_1 (f c) c) True) (Eq True False)
% 4.49/4.69 Clause #41 (by clausification #[40]): Eq (cP_1 (f c) c) True
% 4.49/4.69 Clause #42 (by superposition #[41, 24]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.49/4.69 Or (Eq (cQ_2 a a_1 c) True)
% 4.49/4.69 (Or (Eq True False) (Or (Eq (cP_1 (f a_2) a_1) False) (Or (Eq (cQ_1 a_3 a_2 c) False) (Eq (cP_1 (f a_3) a) False))))
% 4.49/4.69 Clause #83 (by clausification #[39]): Eq (cP_1 b b) True
% 4.49/4.69 Clause #84 (by clausification #[39]): Eq (And (cQ_1 a b c) (cP_1 a a)) True
% 4.49/4.69 Clause #85 (by superposition #[83, 30]): Or (Eq (cP_1 (f b) b) True) (Eq True False)
% 4.49/4.69 Clause #86 (by clausification #[85]): Eq (cP_1 (f b) b) True
% 4.49/4.69 Clause #98 (by clausification #[84]): Eq (cP_1 a a) True
% 4.49/4.69 Clause #99 (by clausification #[84]): Eq (cQ_1 a b c) True
% 4.49/4.69 Clause #100 (by superposition #[98, 30]): Or (Eq (cP_1 (f a) a) True) (Eq True False)
% 4.49/4.70 Clause #101 (by clausification #[42]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.49/4.70 Or (Eq (cQ_2 a a_1 c) True)
% 4.49/4.70 (Or (Eq (cP_1 (f a_2) a_1) False) (Or (Eq (cQ_1 a_3 a_2 c) False) (Eq (cP_1 (f a_3) a) False)))
% 4.49/4.70 Clause #107 (by superposition #[101, 86]): ∀ (a a_1 : Iota),
% 4.49/4.70 Or (Eq (cQ_2 a b c) True) (Or (Eq (cQ_1 a_1 b c) False) (Or (Eq (cP_1 (f a_1) a) False) (Eq False True)))
% 4.49/4.70 Clause #116 (by clausification #[100]): Eq (cP_1 (f a) a) True
% 4.49/4.70 Clause #434 (by clausification #[107]): ∀ (a a_1 : Iota), Or (Eq (cQ_2 a b c) True) (Or (Eq (cQ_1 a_1 b c) False) (Eq (cP_1 (f a_1) a) False))
% 4.49/4.70 Clause #435 (by superposition #[434, 99]): ∀ (a_1 : Iota), Or (Eq (cQ_2 a_1 b c) True) (Or (Eq (cP_1 (f a) a_1) False) (Eq False True))
% 4.49/4.70 Clause #436 (by clausification #[435]): ∀ (a_1 : Iota), Or (Eq (cQ_2 a_1 b c) True) (Eq (cP_1 (f a) a_1) False)
% 4.49/4.70 Clause #437 (by superposition #[436, 116]): Or (Eq (cQ_2 a b c) True) (Eq False True)
% 4.49/4.70 Clause #438 (by clausification #[437]): Eq (cQ_2 a b c) True
% 4.49/4.70 Clause #439 (by superposition #[438, 8]): Eq True False
% 4.49/4.70 Clause #441 (by clausification #[439]): False
% 4.49/4.70 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------