TSTP Solution File: NUN076+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NUN076+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n018.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 12:47:21 EDT 2023
% Result : Theorem 198.70s 198.93s
% Output : Proof 199.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN076+1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 09:53:15 EDT 2023
% 0.14/0.35 % CPUTime :
% 198.70/198.93 SZS status Theorem for theBenchmark.p
% 198.70/198.93 SZS output start Proof for theBenchmark.p
% 198.70/198.93 Clause #0 (by assumption #[]): Eq (Exists fun Y24 => ∀ (X19 : Iota), Or (And (id X19 Y24) (r1 X19)) (And (Not (r1 X19)) (Not (id X19 Y24)))) True
% 198.70/198.93 Clause #1 (by assumption #[]): Eq
% 198.70/198.93 (∀ (X11 : Iota),
% 198.70/198.93 Exists fun Y21 => ∀ (X12 : Iota), Or (And (id X12 Y21) (r2 X11 X12)) (And (Not (r2 X11 X12)) (Not (id X12 Y21))))
% 198.70/198.93 True
% 198.70/198.93 Clause #4 (by assumption #[]): Eq (∀ (X20 : Iota), id X20 X20) True
% 198.70/198.93 Clause #5 (by assumption #[]): Eq (∀ (X21 X22 : Iota), Or (Not (id X21 X22)) (id X22 X21)) True
% 198.70/198.93 Clause #6 (by assumption #[]): Eq (∀ (X23 X24 X25 : Iota), Or (Or (Not (id X23 X24)) (id X23 X25)) (Not (id X24 X25))) True
% 198.70/198.93 Clause #7 (by assumption #[]): Eq (∀ (X26 X27 : Iota), Or (Or (Not (id X26 X27)) (And (Not (r1 X26)) (Not (r1 X27)))) (And (r1 X26) (r1 X27))) True
% 198.70/198.93 Clause #8 (by assumption #[]): Eq
% 198.70/198.93 (∀ (X28 X29 X30 X31 : Iota),
% 198.70/198.93 Or (Or (Or (Not (id X28 X30)) (Not (id X29 X31))) (And (Not (r2 X28 X29)) (Not (r2 X30 X31))))
% 198.70/198.93 (And (r2 X28 X29) (r2 X30 X31)))
% 198.70/198.93 True
% 198.70/198.93 Clause #9 (by assumption #[]): Eq
% 198.70/198.93 (∀ (X32 X33 X34 X35 X36 X37 : Iota),
% 198.70/198.93 Or
% 198.70/198.93 (Or (Or (Or (Not (id X32 X35)) (Not (id X33 X36))) (Not (id X34 X37)))
% 198.70/198.93 (And (Not (r3 X32 X33 X34)) (Not (r3 X35 X36 X37))))
% 198.70/198.93 (And (r3 X32 X33 X34) (r3 X35 X36 X37)))
% 198.70/198.93 True
% 198.70/198.93 Clause #10 (by assumption #[]): Eq
% 198.70/198.93 (∀ (X38 X39 X40 X41 X42 X43 : Iota),
% 198.70/198.93 Or
% 198.70/198.93 (Or (Or (Or (Not (id X38 X41)) (Not (id X39 X42))) (Not (id X40 X43)))
% 198.70/198.93 (And (Not (r4 X38 X39 X40)) (Not (r4 X41 X42 X43))))
% 198.70/198.93 (And (r4 X38 X39 X40) (r4 X41 X42 X43)))
% 198.70/198.93 True
% 198.70/198.93 Clause #14 (by assumption #[]): Eq (∀ (X4 : Iota), Exists fun Y9 => And (id Y9 X4) (Exists fun Y16 => And (r1 Y16) (r3 X4 Y16 Y9))) True
% 198.70/198.93 Clause #15 (by assumption #[]): Eq
% 198.70/198.93 (∀ (X5 : Iota),
% 198.70/198.93 Exists fun Y8 => And (Exists fun Y17 => And (r1 Y17) (r4 X5 Y17 Y8)) (Exists fun Y18 => And (id Y8 Y18) (r1 Y18)))
% 198.70/198.93 True
% 198.70/198.93 Clause #18 (by assumption #[]): Eq
% 198.70/198.93 (Not
% 198.70/198.93 (Exists fun Y1 =>
% 198.70/198.93 Exists fun Y2 =>
% 198.70/198.93 Exists fun Y3 =>
% 198.70/198.93 And
% 198.70/198.93 (Exists fun Y4 =>
% 198.70/198.93 And (id Y4 Y1)
% 198.70/198.93 (Exists fun Y6 =>
% 198.70/198.93 And (r4 Y6 Y2 Y4) (Exists fun Y7 => And (r2 Y7 Y6) (Exists fun Y8 => And (r1 Y8) (r2 Y8 Y7)))))
% 198.70/198.93 (Exists fun Y5 => And (id Y5 Y1) (r3 Y2 Y3 Y5))))
% 198.70/198.93 True
% 198.70/198.93 Clause #19 (by clausification #[4]): ∀ (a : Iota), Eq (id a a) True
% 198.70/198.93 Clause #20 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (X22 : Iota), Or (Not (id a X22)) (id X22 a)) True
% 198.70/198.93 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota), Eq (Or (Not (id a a_1)) (id a_1 a)) True
% 198.70/198.93 Clause #22 (by clausification #[21]): ∀ (a a_1 : Iota), Or (Eq (Not (id a a_1)) True) (Eq (id a_1 a) True)
% 198.70/198.93 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota), Or (Eq (id a a_1) True) (Eq (id a_1 a) False)
% 198.70/198.93 Clause #25 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (X24 X25 : Iota), Or (Or (Not (id a X24)) (id a X25)) (Not (id X24 X25))) True
% 198.70/198.93 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Eq (∀ (X25 : Iota), Or (Or (Not (id a a_1)) (id a X25)) (Not (id a_1 X25))) True
% 198.70/198.93 Clause #27 (by clausification #[26]): ∀ (a a_1 a_2 : Iota), Eq (Or (Or (Not (id a a_1)) (id a a_2)) (Not (id a_1 a_2))) True
% 198.70/198.93 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 : Iota), Or (Eq (Or (Not (id a a_1)) (id a a_2)) True) (Eq (Not (id a_1 a_2)) True)
% 198.70/198.93 Clause #29 (by clausification #[28]): ∀ (a a_1 a_2 : Iota), Or (Eq (Not (id a a_1)) True) (Or (Eq (Not (id a_2 a)) True) (Eq (id a_2 a_1) True))
% 198.70/198.93 Clause #30 (by clausification #[29]): ∀ (a a_1 a_2 : Iota), Or (Eq (Not (id a a_1)) True) (Or (Eq (id a a_2) True) (Eq (id a_1 a_2) False))
% 198.70/198.93 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 : Iota), Or (Eq (id a a_1) True) (Or (Eq (id a_2 a_1) False) (Eq (id a a_2) False))
% 198.70/198.93 Clause #34 (by clausification #[0]): ∀ (a : Iota),
% 198.70/198.93 Eq (∀ (X19 : Iota), Or (And (id X19 (skS.0 0 a)) (r1 X19)) (And (Not (r1 X19)) (Not (id X19 (skS.0 0 a))))) True
% 198.70/198.93 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota), Eq (Or (And (id a (skS.0 0 a_1)) (r1 a)) (And (Not (r1 a)) (Not (id a (skS.0 0 a_1))))) True
% 198.70/198.96 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota), Or (Eq (And (id a (skS.0 0 a_1)) (r1 a)) True) (Eq (And (Not (r1 a)) (Not (id a (skS.0 0 a_1)))) True)
% 198.70/198.96 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota), Or (Eq (And (Not (r1 a)) (Not (id a (skS.0 0 a_1)))) True) (Eq (r1 a) True)
% 198.70/198.96 Clause #38 (by clausification #[36]): ∀ (a a_1 : Iota), Or (Eq (And (Not (r1 a)) (Not (id a (skS.0 0 a_1)))) True) (Eq (id a (skS.0 0 a_1)) True)
% 198.70/198.96 Clause #39 (by clausification #[37]): ∀ (a a_1 : Iota), Or (Eq (r1 a) True) (Eq (Not (id a (skS.0 0 a_1))) True)
% 198.70/198.96 Clause #41 (by clausification #[39]): ∀ (a a_1 : Iota), Or (Eq (r1 a) True) (Eq (id a (skS.0 0 a_1)) False)
% 198.70/198.96 Clause #42 (by superposition #[41, 19]): ∀ (a : Iota), Or (Eq (r1 (skS.0 0 a)) True) (Eq False True)
% 198.70/198.96 Clause #44 (by clausification #[42]): ∀ (a : Iota), Eq (r1 (skS.0 0 a)) True
% 198.70/198.96 Clause #53 (by clausification #[14]): ∀ (a : Iota), Eq (Exists fun Y9 => And (id Y9 a) (Exists fun Y16 => And (r1 Y16) (r3 a Y16 Y9))) True
% 198.70/198.96 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota), Eq (And (id (skS.0 1 a a_1) a) (Exists fun Y16 => And (r1 Y16) (r3 a Y16 (skS.0 1 a a_1)))) True
% 198.70/198.96 Clause #55 (by clausification #[54]): ∀ (a a_1 : Iota), Eq (Exists fun Y16 => And (r1 Y16) (r3 a Y16 (skS.0 1 a a_1))) True
% 198.70/198.96 Clause #56 (by clausification #[54]): ∀ (a a_1 : Iota), Eq (id (skS.0 1 a a_1) a) True
% 198.70/198.96 Clause #57 (by clausification #[55]): ∀ (a a_1 a_2 : Iota), Eq (And (r1 (skS.0 2 a a_1 a_2)) (r3 a (skS.0 2 a a_1 a_2) (skS.0 1 a a_1))) True
% 198.70/198.96 Clause #58 (by clausification #[57]): ∀ (a a_1 a_2 : Iota), Eq (r3 a (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) True
% 198.70/198.96 Clause #59 (by clausification #[57]): ∀ (a a_1 a_2 : Iota), Eq (r1 (skS.0 2 a a_1 a_2)) True
% 198.70/198.96 Clause #61 (by superposition #[56, 23]): ∀ (a a_1 : Iota), Or (Eq (id a (skS.0 1 a a_1)) True) (Eq True False)
% 198.70/198.96 Clause #63 (by clausification #[1]): ∀ (a : Iota),
% 198.70/198.96 Eq (Exists fun Y21 => ∀ (X12 : Iota), Or (And (id X12 Y21) (r2 a X12)) (And (Not (r2 a X12)) (Not (id X12 Y21)))) True
% 198.70/198.96 Clause #64 (by clausification #[63]): ∀ (a a_1 : Iota),
% 198.70/198.96 Eq
% 198.70/198.96 (∀ (X12 : Iota), Or (And (id X12 (skS.0 3 a a_1)) (r2 a X12)) (And (Not (r2 a X12)) (Not (id X12 (skS.0 3 a a_1)))))
% 198.70/198.96 True
% 198.70/198.96 Clause #65 (by clausification #[64]): ∀ (a a_1 a_2 : Iota),
% 198.70/198.96 Eq (Or (And (id a (skS.0 3 a_1 a_2)) (r2 a_1 a)) (And (Not (r2 a_1 a)) (Not (id a (skS.0 3 a_1 a_2))))) True
% 198.70/198.96 Clause #66 (by clausification #[65]): ∀ (a a_1 a_2 : Iota),
% 198.70/198.96 Or (Eq (And (id a (skS.0 3 a_1 a_2)) (r2 a_1 a)) True) (Eq (And (Not (r2 a_1 a)) (Not (id a (skS.0 3 a_1 a_2)))) True)
% 198.70/198.96 Clause #67 (by clausification #[66]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (Not (r2 a a_1)) (Not (id a_1 (skS.0 3 a a_2)))) True) (Eq (r2 a a_1) True)
% 198.70/198.96 Clause #69 (by clausification #[67]): ∀ (a a_1 a_2 : Iota), Or (Eq (r2 a a_1) True) (Eq (Not (id a_1 (skS.0 3 a a_2))) True)
% 198.70/198.96 Clause #71 (by clausification #[69]): ∀ (a a_1 a_2 : Iota), Or (Eq (r2 a a_1) True) (Eq (id a_1 (skS.0 3 a a_2)) False)
% 198.70/198.96 Clause #73 (by superposition #[71, 19]): ∀ (a a_1 : Iota), Or (Eq (r2 a (skS.0 3 a a_1)) True) (Eq False True)
% 198.70/198.96 Clause #75 (by clausification #[61]): ∀ (a a_1 : Iota), Eq (id a (skS.0 1 a a_1)) True
% 198.70/198.96 Clause #78 (by clausification #[73]): ∀ (a a_1 : Iota), Eq (r2 a (skS.0 3 a a_1)) True
% 198.70/198.96 Clause #120 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (X27 : Iota), Or (Or (Not (id a X27)) (And (Not (r1 a)) (Not (r1 X27)))) (And (r1 a) (r1 X27))) True
% 198.70/198.96 Clause #121 (by clausification #[120]): ∀ (a a_1 : Iota), Eq (Or (Or (Not (id a a_1)) (And (Not (r1 a)) (Not (r1 a_1)))) (And (r1 a) (r1 a_1))) True
% 198.70/198.96 Clause #122 (by clausification #[121]): ∀ (a a_1 : Iota), Or (Eq (Or (Not (id a a_1)) (And (Not (r1 a)) (Not (r1 a_1)))) True) (Eq (And (r1 a) (r1 a_1)) True)
% 198.70/198.96 Clause #123 (by clausification #[122]): ∀ (a a_1 : Iota),
% 198.70/198.96 Or (Eq (And (r1 a) (r1 a_1)) True) (Or (Eq (Not (id a a_1)) True) (Eq (And (Not (r1 a)) (Not (r1 a_1))) True))
% 198.70/198.96 Clause #125 (by clausification #[123]): ∀ (a a_1 : Iota), Or (Eq (Not (id a a_1)) True) (Or (Eq (And (Not (r1 a)) (Not (r1 a_1))) True) (Eq (r1 a) True))
% 198.70/198.96 Clause #139 (by clausification #[8]): ∀ (a : Iota),
% 198.70/198.99 Eq
% 198.70/198.99 (∀ (X29 X30 X31 : Iota),
% 198.70/198.99 Or (Or (Or (Not (id a X30)) (Not (id X29 X31))) (And (Not (r2 a X29)) (Not (r2 X30 X31))))
% 198.70/198.99 (And (r2 a X29) (r2 X30 X31)))
% 198.70/198.99 True
% 198.70/198.99 Clause #140 (by clausification #[139]): ∀ (a a_1 : Iota),
% 198.70/198.99 Eq
% 198.70/198.99 (∀ (X30 X31 : Iota),
% 198.70/198.99 Or (Or (Or (Not (id a X30)) (Not (id a_1 X31))) (And (Not (r2 a a_1)) (Not (r2 X30 X31))))
% 198.70/198.99 (And (r2 a a_1) (r2 X30 X31)))
% 198.70/198.99 True
% 198.70/198.99 Clause #141 (by clausification #[140]): ∀ (a a_1 a_2 : Iota),
% 198.70/198.99 Eq
% 198.70/198.99 (∀ (X31 : Iota),
% 198.70/198.99 Or (Or (Or (Not (id a a_1)) (Not (id a_2 X31))) (And (Not (r2 a a_2)) (Not (r2 a_1 X31))))
% 198.70/198.99 (And (r2 a a_2) (r2 a_1 X31)))
% 198.70/198.99 True
% 198.70/198.99 Clause #142 (by clausification #[141]): ∀ (a a_1 a_2 a_3 : Iota),
% 198.70/198.99 Eq
% 198.70/198.99 (Or (Or (Or (Not (id a a_1)) (Not (id a_2 a_3))) (And (Not (r2 a a_2)) (Not (r2 a_1 a_3))))
% 198.70/198.99 (And (r2 a a_2) (r2 a_1 a_3)))
% 198.70/198.99 True
% 198.70/198.99 Clause #143 (by clausification #[142]): ∀ (a a_1 a_2 a_3 : Iota),
% 198.70/198.99 Or (Eq (Or (Or (Not (id a a_1)) (Not (id a_2 a_3))) (And (Not (r2 a a_2)) (Not (r2 a_1 a_3)))) True)
% 198.70/198.99 (Eq (And (r2 a a_2) (r2 a_1 a_3)) True)
% 198.70/198.99 Clause #144 (by clausification #[143]): ∀ (a a_1 a_2 a_3 : Iota),
% 198.70/198.99 Or (Eq (And (r2 a a_1) (r2 a_2 a_3)) True)
% 198.70/198.99 (Or (Eq (Or (Not (id a a_2)) (Not (id a_1 a_3))) True) (Eq (And (Not (r2 a a_1)) (Not (r2 a_2 a_3))) True))
% 198.70/198.99 Clause #145 (by clausification #[144]): ∀ (a a_1 a_2 a_3 : Iota),
% 198.70/198.99 Or (Eq (Or (Not (id a a_1)) (Not (id a_2 a_3))) True)
% 198.70/198.99 (Or (Eq (And (Not (r2 a a_2)) (Not (r2 a_1 a_3))) True) (Eq (r2 a_1 a_3) True))
% 198.70/198.99 Clause #147 (by clausification #[145]): ∀ (a a_1 a_2 a_3 : Iota),
% 198.70/198.99 Or (Eq (And (Not (r2 a a_1)) (Not (r2 a_2 a_3))) True)
% 198.70/198.99 (Or (Eq (r2 a_2 a_3) True) (Or (Eq (Not (id a a_2)) True) (Eq (Not (id a_1 a_3)) True)))
% 198.70/198.99 Clause #149 (by clausification #[147]): ∀ (a a_1 a_2 a_3 : Iota),
% 198.70/198.99 Or (Eq (r2 a a_1) True) (Or (Eq (Not (id a_2 a)) True) (Or (Eq (Not (id a_3 a_1)) True) (Eq (Not (r2 a_2 a_3)) True)))
% 198.70/198.99 Clause #153 (by clausification #[125]): ∀ (a a_1 : Iota), Or (Eq (And (Not (r1 a)) (Not (r1 a_1))) True) (Or (Eq (r1 a) True) (Eq (id a a_1) False))
% 198.70/198.99 Clause #154 (by clausification #[153]): ∀ (a a_1 : Iota), Or (Eq (r1 a) True) (Or (Eq (id a a_1) False) (Eq (Not (r1 a_1)) True))
% 198.70/198.99 Clause #156 (by clausification #[154]): ∀ (a a_1 : Iota), Or (Eq (r1 a) True) (Or (Eq (id a a_1) False) (Eq (r1 a_1) False))
% 198.70/198.99 Clause #158 (by clausification #[149]): ∀ (a a_1 a_2 a_3 : Iota),
% 198.70/198.99 Or (Eq (r2 a a_1) True) (Or (Eq (Not (id a_2 a_1)) True) (Or (Eq (Not (r2 a_3 a_2)) True) (Eq (id a_3 a) False)))
% 198.70/198.99 Clause #159 (by clausification #[158]): ∀ (a a_1 a_2 a_3 : Iota),
% 198.70/198.99 Or (Eq (r2 a a_1) True) (Or (Eq (Not (r2 a_2 a_3)) True) (Or (Eq (id a_2 a) False) (Eq (id a_3 a_1) False)))
% 198.70/198.99 Clause #160 (by clausification #[159]): ∀ (a a_1 a_2 a_3 : Iota),
% 198.70/198.99 Or (Eq (r2 a a_1) True) (Or (Eq (id a_2 a) False) (Or (Eq (id a_3 a_1) False) (Eq (r2 a_2 a_3) False)))
% 198.70/198.99 Clause #168 (by clausification #[9]): ∀ (a : Iota),
% 198.70/198.99 Eq
% 198.70/198.99 (∀ (X33 X34 X35 X36 X37 : Iota),
% 198.70/198.99 Or
% 198.70/198.99 (Or (Or (Or (Not (id a X35)) (Not (id X33 X36))) (Not (id X34 X37)))
% 198.70/198.99 (And (Not (r3 a X33 X34)) (Not (r3 X35 X36 X37))))
% 198.70/198.99 (And (r3 a X33 X34) (r3 X35 X36 X37)))
% 198.70/198.99 True
% 198.70/198.99 Clause #169 (by clausification #[168]): ∀ (a a_1 : Iota),
% 198.70/198.99 Eq
% 198.70/198.99 (∀ (X34 X35 X36 X37 : Iota),
% 198.70/198.99 Or
% 198.70/198.99 (Or (Or (Or (Not (id a X35)) (Not (id a_1 X36))) (Not (id X34 X37)))
% 198.70/198.99 (And (Not (r3 a a_1 X34)) (Not (r3 X35 X36 X37))))
% 198.70/198.99 (And (r3 a a_1 X34) (r3 X35 X36 X37)))
% 198.70/198.99 True
% 198.70/198.99 Clause #170 (by clausification #[169]): ∀ (a a_1 a_2 : Iota),
% 198.70/198.99 Eq
% 198.70/198.99 (∀ (X35 X36 X37 : Iota),
% 198.70/198.99 Or
% 198.70/198.99 (Or (Or (Or (Not (id a X35)) (Not (id a_1 X36))) (Not (id a_2 X37)))
% 198.70/198.99 (And (Not (r3 a a_1 a_2)) (Not (r3 X35 X36 X37))))
% 198.70/198.99 (And (r3 a a_1 a_2) (r3 X35 X36 X37)))
% 198.70/198.99 True
% 198.70/198.99 Clause #171 (by clausification #[170]): ∀ (a a_1 a_2 a_3 : Iota),
% 198.70/198.99 Eq
% 198.70/198.99 (∀ (X36 X37 : Iota),
% 198.70/198.99 Or
% 198.70/198.99 (Or (Or (Or (Not (id a a_1)) (Not (id a_2 X36))) (Not (id a_3 X37)))
% 198.70/198.99 (And (Not (r3 a a_2 a_3)) (Not (r3 a_1 X36 X37))))
% 198.70/198.99 (And (r3 a a_2 a_3) (r3 a_1 X36 X37)))
% 198.70/199.02 True
% 198.70/199.02 Clause #172 (by clausification #[171]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 198.70/199.02 Eq
% 198.70/199.02 (∀ (X37 : Iota),
% 198.70/199.02 Or
% 198.70/199.02 (Or (Or (Or (Not (id a a_1)) (Not (id a_2 a_3))) (Not (id a_4 X37)))
% 198.70/199.02 (And (Not (r3 a a_2 a_4)) (Not (r3 a_1 a_3 X37))))
% 198.70/199.02 (And (r3 a a_2 a_4) (r3 a_1 a_3 X37)))
% 198.70/199.02 True
% 198.70/199.02 Clause #173 (by clausification #[172]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.70/199.02 Eq
% 198.70/199.02 (Or
% 198.70/199.02 (Or (Or (Or (Not (id a a_1)) (Not (id a_2 a_3))) (Not (id a_4 a_5)))
% 198.70/199.02 (And (Not (r3 a a_2 a_4)) (Not (r3 a_1 a_3 a_5))))
% 198.70/199.02 (And (r3 a a_2 a_4) (r3 a_1 a_3 a_5)))
% 198.70/199.02 True
% 198.70/199.02 Clause #174 (by clausification #[173]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.70/199.02 Or
% 198.70/199.02 (Eq
% 198.70/199.02 (Or (Or (Or (Not (id a a_1)) (Not (id a_2 a_3))) (Not (id a_4 a_5)))
% 198.70/199.02 (And (Not (r3 a a_2 a_4)) (Not (r3 a_1 a_3 a_5))))
% 198.70/199.02 True)
% 198.70/199.02 (Eq (And (r3 a a_2 a_4) (r3 a_1 a_3 a_5)) True)
% 198.70/199.02 Clause #175 (by clausification #[174]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.70/199.02 Or (Eq (And (r3 a a_1 a_2) (r3 a_3 a_4 a_5)) True)
% 198.70/199.02 (Or (Eq (Or (Or (Not (id a a_3)) (Not (id a_1 a_4))) (Not (id a_2 a_5))) True)
% 198.70/199.02 (Eq (And (Not (r3 a a_1 a_2)) (Not (r3 a_3 a_4 a_5))) True))
% 198.70/199.02 Clause #177 (by clausification #[175]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.70/199.02 Or (Eq (Or (Or (Not (id a a_1)) (Not (id a_2 a_3))) (Not (id a_4 a_5))) True)
% 198.70/199.02 (Or (Eq (And (Not (r3 a a_2 a_4)) (Not (r3 a_1 a_3 a_5))) True) (Eq (r3 a a_2 a_4) True))
% 198.70/199.02 Clause #193 (by clausification #[10]): ∀ (a : Iota),
% 198.70/199.02 Eq
% 198.70/199.02 (∀ (X39 X40 X41 X42 X43 : Iota),
% 198.70/199.02 Or
% 198.70/199.02 (Or (Or (Or (Not (id a X41)) (Not (id X39 X42))) (Not (id X40 X43)))
% 198.70/199.02 (And (Not (r4 a X39 X40)) (Not (r4 X41 X42 X43))))
% 198.70/199.02 (And (r4 a X39 X40) (r4 X41 X42 X43)))
% 198.70/199.02 True
% 198.70/199.02 Clause #194 (by clausification #[193]): ∀ (a a_1 : Iota),
% 198.70/199.02 Eq
% 198.70/199.02 (∀ (X40 X41 X42 X43 : Iota),
% 198.70/199.02 Or
% 198.70/199.02 (Or (Or (Or (Not (id a X41)) (Not (id a_1 X42))) (Not (id X40 X43)))
% 198.70/199.02 (And (Not (r4 a a_1 X40)) (Not (r4 X41 X42 X43))))
% 198.70/199.02 (And (r4 a a_1 X40) (r4 X41 X42 X43)))
% 198.70/199.02 True
% 198.70/199.02 Clause #195 (by clausification #[194]): ∀ (a a_1 a_2 : Iota),
% 198.70/199.02 Eq
% 198.70/199.02 (∀ (X41 X42 X43 : Iota),
% 198.70/199.02 Or
% 198.70/199.02 (Or (Or (Or (Not (id a X41)) (Not (id a_1 X42))) (Not (id a_2 X43)))
% 198.70/199.02 (And (Not (r4 a a_1 a_2)) (Not (r4 X41 X42 X43))))
% 198.70/199.02 (And (r4 a a_1 a_2) (r4 X41 X42 X43)))
% 198.70/199.02 True
% 198.70/199.02 Clause #196 (by clausification #[195]): ∀ (a a_1 a_2 a_3 : Iota),
% 198.70/199.02 Eq
% 198.70/199.02 (∀ (X42 X43 : Iota),
% 198.70/199.02 Or
% 198.70/199.02 (Or (Or (Or (Not (id a a_1)) (Not (id a_2 X42))) (Not (id a_3 X43)))
% 198.70/199.02 (And (Not (r4 a a_2 a_3)) (Not (r4 a_1 X42 X43))))
% 198.70/199.02 (And (r4 a a_2 a_3) (r4 a_1 X42 X43)))
% 198.70/199.02 True
% 198.70/199.02 Clause #197 (by clausification #[196]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 198.70/199.02 Eq
% 198.70/199.02 (∀ (X43 : Iota),
% 198.70/199.02 Or
% 198.70/199.02 (Or (Or (Or (Not (id a a_1)) (Not (id a_2 a_3))) (Not (id a_4 X43)))
% 198.70/199.02 (And (Not (r4 a a_2 a_4)) (Not (r4 a_1 a_3 X43))))
% 198.70/199.02 (And (r4 a a_2 a_4) (r4 a_1 a_3 X43)))
% 198.70/199.02 True
% 198.70/199.02 Clause #198 (by clausification #[197]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.70/199.02 Eq
% 198.70/199.02 (Or
% 198.70/199.02 (Or (Or (Or (Not (id a a_1)) (Not (id a_2 a_3))) (Not (id a_4 a_5)))
% 198.70/199.02 (And (Not (r4 a a_2 a_4)) (Not (r4 a_1 a_3 a_5))))
% 198.70/199.02 (And (r4 a a_2 a_4) (r4 a_1 a_3 a_5)))
% 198.70/199.02 True
% 198.70/199.02 Clause #199 (by clausification #[198]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.70/199.02 Or
% 198.70/199.02 (Eq
% 198.70/199.02 (Or (Or (Or (Not (id a a_1)) (Not (id a_2 a_3))) (Not (id a_4 a_5)))
% 198.70/199.02 (And (Not (r4 a a_2 a_4)) (Not (r4 a_1 a_3 a_5))))
% 198.70/199.02 True)
% 198.70/199.02 (Eq (And (r4 a a_2 a_4) (r4 a_1 a_3 a_5)) True)
% 198.70/199.02 Clause #200 (by clausification #[199]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.70/199.02 Or (Eq (And (r4 a a_1 a_2) (r4 a_3 a_4 a_5)) True)
% 198.70/199.02 (Or (Eq (Or (Or (Not (id a a_3)) (Not (id a_1 a_4))) (Not (id a_2 a_5))) True)
% 198.70/199.02 (Eq (And (Not (r4 a a_1 a_2)) (Not (r4 a_3 a_4 a_5))) True))
% 198.70/199.02 Clause #202 (by clausification #[200]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.70/199.02 Or (Eq (Or (Or (Not (id a a_1)) (Not (id a_2 a_3))) (Not (id a_4 a_5))) True)
% 198.70/199.02 (Or (Eq (And (Not (r4 a a_2 a_4)) (Not (r4 a_1 a_3 a_5))) True) (Eq (r4 a a_2 a_4) True))
% 198.70/199.02 Clause #309 (by clausification #[15]): ∀ (a : Iota),
% 198.70/199.02 Eq (Exists fun Y8 => And (Exists fun Y17 => And (r1 Y17) (r4 a Y17 Y8)) (Exists fun Y18 => And (id Y8 Y18) (r1 Y18)))
% 198.70/199.05 True
% 198.70/199.05 Clause #310 (by clausification #[309]): ∀ (a a_1 : Iota),
% 198.70/199.05 Eq
% 198.70/199.05 (And (Exists fun Y17 => And (r1 Y17) (r4 a Y17 (skS.0 10 a a_1)))
% 198.70/199.05 (Exists fun Y18 => And (id (skS.0 10 a a_1) Y18) (r1 Y18)))
% 198.70/199.05 True
% 198.70/199.05 Clause #311 (by clausification #[310]): ∀ (a a_1 : Iota), Eq (Exists fun Y18 => And (id (skS.0 10 a a_1) Y18) (r1 Y18)) True
% 198.70/199.05 Clause #312 (by clausification #[310]): ∀ (a a_1 : Iota), Eq (Exists fun Y17 => And (r1 Y17) (r4 a Y17 (skS.0 10 a a_1))) True
% 198.70/199.05 Clause #313 (by clausification #[311]): ∀ (a a_1 a_2 : Iota), Eq (And (id (skS.0 10 a a_1) (skS.0 11 a a_1 a_2)) (r1 (skS.0 11 a a_1 a_2))) True
% 198.70/199.05 Clause #314 (by clausification #[313]): ∀ (a a_1 a_2 : Iota), Eq (r1 (skS.0 11 a a_1 a_2)) True
% 198.70/199.05 Clause #315 (by clausification #[313]): ∀ (a a_1 a_2 : Iota), Eq (id (skS.0 10 a a_1) (skS.0 11 a a_1 a_2)) True
% 198.70/199.05 Clause #318 (by clausification #[312]): ∀ (a a_1 a_2 : Iota), Eq (And (r1 (skS.0 12 a a_1 a_2)) (r4 a (skS.0 12 a a_1 a_2) (skS.0 10 a a_1))) True
% 198.70/199.05 Clause #319 (by clausification #[318]): ∀ (a a_1 a_2 : Iota), Eq (r4 a (skS.0 12 a a_1 a_2) (skS.0 10 a a_1)) True
% 198.70/199.05 Clause #320 (by clausification #[318]): ∀ (a a_1 a_2 : Iota), Eq (r1 (skS.0 12 a a_1 a_2)) True
% 198.70/199.05 Clause #327 (by superposition #[315, 156]): ∀ (a a_1 a_2 : Iota), Or (Eq (r1 (skS.0 10 a a_1)) True) (Or (Eq True False) (Eq (r1 (skS.0 11 a a_1 a_2)) False))
% 198.70/199.05 Clause #372 (by clausification #[18]): Eq
% 198.70/199.05 (Exists fun Y1 =>
% 198.70/199.05 Exists fun Y2 =>
% 198.70/199.05 Exists fun Y3 =>
% 198.70/199.05 And
% 198.70/199.05 (Exists fun Y4 =>
% 198.70/199.05 And (id Y4 Y1)
% 198.70/199.05 (Exists fun Y6 =>
% 198.70/199.05 And (r4 Y6 Y2 Y4) (Exists fun Y7 => And (r2 Y7 Y6) (Exists fun Y8 => And (r1 Y8) (r2 Y8 Y7)))))
% 198.70/199.05 (Exists fun Y5 => And (id Y5 Y1) (r3 Y2 Y3 Y5)))
% 198.70/199.05 False
% 198.70/199.05 Clause #373 (by clausification #[372]): ∀ (a : Iota),
% 198.70/199.05 Eq
% 198.70/199.05 (Exists fun Y2 =>
% 198.70/199.05 Exists fun Y3 =>
% 198.70/199.05 And
% 198.70/199.05 (Exists fun Y4 =>
% 198.70/199.05 And (id Y4 a)
% 198.70/199.05 (Exists fun Y6 =>
% 198.70/199.05 And (r4 Y6 Y2 Y4) (Exists fun Y7 => And (r2 Y7 Y6) (Exists fun Y8 => And (r1 Y8) (r2 Y8 Y7)))))
% 198.70/199.05 (Exists fun Y5 => And (id Y5 a) (r3 Y2 Y3 Y5)))
% 198.70/199.05 False
% 198.70/199.05 Clause #374 (by clausification #[373]): ∀ (a a_1 : Iota),
% 198.70/199.05 Eq
% 198.70/199.05 (Exists fun Y3 =>
% 198.70/199.05 And
% 198.70/199.05 (Exists fun Y4 =>
% 198.70/199.05 And (id Y4 a)
% 198.70/199.05 (Exists fun Y6 =>
% 198.70/199.05 And (r4 Y6 a_1 Y4) (Exists fun Y7 => And (r2 Y7 Y6) (Exists fun Y8 => And (r1 Y8) (r2 Y8 Y7)))))
% 198.70/199.05 (Exists fun Y5 => And (id Y5 a) (r3 a_1 Y3 Y5)))
% 198.70/199.05 False
% 198.70/199.05 Clause #375 (by clausification #[374]): ∀ (a a_1 a_2 : Iota),
% 198.70/199.05 Eq
% 198.70/199.05 (And
% 198.70/199.05 (Exists fun Y4 =>
% 198.70/199.05 And (id Y4 a)
% 198.70/199.05 (Exists fun Y6 =>
% 198.70/199.05 And (r4 Y6 a_1 Y4) (Exists fun Y7 => And (r2 Y7 Y6) (Exists fun Y8 => And (r1 Y8) (r2 Y8 Y7)))))
% 198.70/199.05 (Exists fun Y5 => And (id Y5 a) (r3 a_1 a_2 Y5)))
% 198.70/199.05 False
% 198.70/199.05 Clause #376 (by clausification #[375]): ∀ (a a_1 a_2 : Iota),
% 198.70/199.05 Or
% 198.70/199.05 (Eq
% 198.70/199.05 (Exists fun Y4 =>
% 198.70/199.05 And (id Y4 a)
% 198.70/199.05 (Exists fun Y6 =>
% 198.70/199.05 And (r4 Y6 a_1 Y4) (Exists fun Y7 => And (r2 Y7 Y6) (Exists fun Y8 => And (r1 Y8) (r2 Y8 Y7)))))
% 198.70/199.05 False)
% 198.70/199.05 (Eq (Exists fun Y5 => And (id Y5 a) (r3 a_1 a_2 Y5)) False)
% 198.70/199.05 Clause #377 (by clausification #[376]): ∀ (a a_1 a_2 a_3 : Iota),
% 198.70/199.05 Or (Eq (Exists fun Y5 => And (id Y5 a) (r3 a_1 a_2 Y5)) False)
% 198.70/199.05 (Eq
% 198.70/199.05 (And (id a_3 a)
% 198.70/199.05 (Exists fun Y6 =>
% 198.70/199.05 And (r4 Y6 a_1 a_3) (Exists fun Y7 => And (r2 Y7 Y6) (Exists fun Y8 => And (r1 Y8) (r2 Y8 Y7)))))
% 198.70/199.05 False)
% 198.70/199.05 Clause #378 (by clausification #[377]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 198.70/199.05 Or
% 198.70/199.05 (Eq
% 198.70/199.05 (And (id a a_1)
% 198.70/199.05 (Exists fun Y6 =>
% 198.70/199.05 And (r4 Y6 a_2 a) (Exists fun Y7 => And (r2 Y7 Y6) (Exists fun Y8 => And (r1 Y8) (r2 Y8 Y7)))))
% 198.70/199.05 False)
% 198.70/199.05 (Eq (And (id a_3 a_1) (r3 a_2 a_4 a_3)) False)
% 198.70/199.05 Clause #379 (by clausification #[378]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 198.70/199.05 Or (Eq (And (id a a_1) (r3 a_2 a_3 a)) False)
% 198.70/199.05 (Or (Eq (id a_4 a_1) False)
% 198.70/199.05 (Eq
% 198.70/199.05 (Exists fun Y6 =>
% 198.70/199.05 And (r4 Y6 a_2 a_4) (Exists fun Y7 => And (r2 Y7 Y6) (Exists fun Y8 => And (r1 Y8) (r2 Y8 Y7))))
% 198.70/199.08 False))
% 198.70/199.08 Clause #380 (by clausification #[379]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 198.70/199.08 Or (Eq (id a a_1) False)
% 198.70/199.08 (Or
% 198.70/199.08 (Eq
% 198.70/199.08 (Exists fun Y6 => And (r4 Y6 a_2 a) (Exists fun Y7 => And (r2 Y7 Y6) (Exists fun Y8 => And (r1 Y8) (r2 Y8 Y7))))
% 198.70/199.08 False)
% 198.70/199.08 (Or (Eq (id a_3 a_1) False) (Eq (r3 a_2 a_4 a_3) False)))
% 198.70/199.08 Clause #381 (by clausification #[380]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.70/199.08 Or (Eq (id a a_1) False)
% 198.70/199.08 (Or (Eq (id a_2 a_1) False)
% 198.70/199.08 (Or (Eq (r3 a_3 a_4 a_2) False)
% 198.70/199.08 (Eq (And (r4 a_5 a_3 a) (Exists fun Y7 => And (r2 Y7 a_5) (Exists fun Y8 => And (r1 Y8) (r2 Y8 Y7)))) False)))
% 198.70/199.08 Clause #382 (by clausification #[381]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.70/199.08 Or (Eq (id a a_1) False)
% 198.70/199.08 (Or (Eq (id a_2 a_1) False)
% 198.70/199.08 (Or (Eq (r3 a_3 a_4 a_2) False)
% 198.70/199.08 (Or (Eq (r4 a_5 a_3 a) False)
% 198.70/199.08 (Eq (Exists fun Y7 => And (r2 Y7 a_5) (Exists fun Y8 => And (r1 Y8) (r2 Y8 Y7))) False))))
% 198.70/199.08 Clause #383 (by clausification #[382]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 198.70/199.08 Or (Eq (id a a_1) False)
% 198.70/199.08 (Or (Eq (id a_2 a_1) False)
% 198.70/199.08 (Or (Eq (r3 a_3 a_4 a_2) False)
% 198.70/199.08 (Or (Eq (r4 a_5 a_3 a) False) (Eq (And (r2 a_6 a_5) (Exists fun Y8 => And (r1 Y8) (r2 Y8 a_6))) False))))
% 198.70/199.08 Clause #384 (by clausification #[383]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 198.70/199.08 Or (Eq (id a a_1) False)
% 198.70/199.08 (Or (Eq (id a_2 a_1) False)
% 198.70/199.08 (Or (Eq (r3 a_3 a_4 a_2) False)
% 198.70/199.08 (Or (Eq (r4 a_5 a_3 a) False)
% 198.70/199.08 (Or (Eq (r2 a_6 a_5) False) (Eq (Exists fun Y8 => And (r1 Y8) (r2 Y8 a_6)) False)))))
% 198.70/199.08 Clause #385 (by clausification #[384]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 198.70/199.08 Or (Eq (id a a_1) False)
% 198.70/199.08 (Or (Eq (id a_2 a_1) False)
% 198.70/199.08 (Or (Eq (r3 a_3 a_4 a_2) False)
% 198.70/199.08 (Or (Eq (r4 a_5 a_3 a) False) (Or (Eq (r2 a_6 a_5) False) (Eq (And (r1 a_7) (r2 a_7 a_6)) False)))))
% 198.70/199.08 Clause #386 (by clausification #[385]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 198.70/199.08 Or (Eq (id a a_1) False)
% 198.70/199.08 (Or (Eq (id a_2 a_1) False)
% 198.70/199.08 (Or (Eq (r3 a_3 a_4 a_2) False)
% 198.70/199.08 (Or (Eq (r4 a_5 a_3 a) False) (Or (Eq (r2 a_6 a_5) False) (Or (Eq (r1 a_7) False) (Eq (r2 a_7 a_6) False))))))
% 198.70/199.08 Clause #390 (by superposition #[386, 75]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 198.70/199.08 Or (Eq (id a (skS.0 1 a_1 a_2)) False)
% 198.70/199.08 (Or (Eq (r3 a_3 a_4 a) False)
% 198.70/199.08 (Or (Eq (r4 a_5 a_3 a_1) False)
% 198.70/199.08 (Or (Eq (r2 a_6 a_5) False) (Or (Eq (r1 a_7) False) (Or (Eq (r2 a_7 a_6) False) (Eq False True))))))
% 198.70/199.08 Clause #402 (by clausification #[38]): ∀ (a a_1 : Iota), Or (Eq (id a (skS.0 0 a_1)) True) (Eq (Not (r1 a)) True)
% 198.70/199.08 Clause #404 (by clausification #[402]): ∀ (a a_1 : Iota), Or (Eq (id a (skS.0 0 a_1)) True) (Eq (r1 a) False)
% 198.70/199.08 Clause #405 (by superposition #[404, 44]): ∀ (a a_1 : Iota), Or (Eq (id (skS.0 0 a) (skS.0 0 a_1)) True) (Eq False True)
% 198.70/199.08 Clause #406 (by superposition #[404, 59]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (id (skS.0 2 a a_1 a_2) (skS.0 0 a_3)) True) (Eq False True)
% 198.70/199.08 Clause #410 (by superposition #[404, 320]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (id (skS.0 12 a a_1 a_2) (skS.0 0 a_3)) True) (Eq False True)
% 198.70/199.08 Clause #418 (by clausification #[405]): ∀ (a a_1 : Iota), Eq (id (skS.0 0 a) (skS.0 0 a_1)) True
% 198.70/199.08 Clause #424 (by superposition #[418, 160]): ∀ (a a_1 a_2 a_3 : Iota),
% 198.70/199.08 Or (Eq (r2 (skS.0 0 a) a_1) True) (Or (Eq True False) (Or (Eq (id a_2 a_1) False) (Eq (r2 (skS.0 0 a_3) a_2) False)))
% 198.70/199.08 Clause #447 (by clausification #[410]): ∀ (a a_1 a_2 a_3 : Iota), Eq (id (skS.0 12 a a_1 a_2) (skS.0 0 a_3)) True
% 198.70/199.08 Clause #511 (by clausification #[406]): ∀ (a a_1 a_2 a_3 : Iota), Eq (id (skS.0 2 a a_1 a_2) (skS.0 0 a_3)) True
% 198.70/199.08 Clause #513 (by superposition #[511, 23]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (id (skS.0 0 a) (skS.0 2 a_1 a_2 a_3)) True) (Eq True False)
% 198.70/199.08 Clause #562 (by clausification #[513]): ∀ (a a_1 a_2 a_3 : Iota), Eq (id (skS.0 0 a) (skS.0 2 a_1 a_2 a_3)) True
% 198.70/199.08 Clause #571 (by clausification #[177]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.70/199.08 Or (Eq (And (Not (r3 a a_1 a_2)) (Not (r3 a_3 a_4 a_5))) True)
% 198.70/199.08 (Or (Eq (r3 a a_1 a_2) True) (Or (Eq (Or (Not (id a a_3)) (Not (id a_1 a_4))) True) (Eq (Not (id a_2 a_5)) True)))
% 198.88/199.11 Clause #572 (by clausification #[571]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.88/199.11 Or (Eq (r3 a a_1 a_2) True)
% 198.88/199.11 (Or (Eq (Or (Not (id a a_3)) (Not (id a_1 a_4))) True)
% 198.88/199.11 (Or (Eq (Not (id a_2 a_5)) True) (Eq (Not (r3 a_3 a_4 a_5)) True)))
% 198.88/199.11 Clause #574 (by clausification #[572]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.88/199.11 Or (Eq (r3 a a_1 a_2) True)
% 198.88/199.11 (Or (Eq (Not (id a_2 a_3)) True)
% 198.88/199.11 (Or (Eq (Not (r3 a_4 a_5 a_3)) True) (Or (Eq (Not (id a a_4)) True) (Eq (Not (id a_1 a_5)) True))))
% 198.88/199.11 Clause #575 (by clausification #[574]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.88/199.11 Or (Eq (r3 a a_1 a_2) True)
% 198.88/199.11 (Or (Eq (Not (r3 a_3 a_4 a_5)) True)
% 198.88/199.11 (Or (Eq (Not (id a a_3)) True) (Or (Eq (Not (id a_1 a_4)) True) (Eq (id a_2 a_5) False))))
% 198.88/199.11 Clause #576 (by clausification #[575]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.88/199.11 Or (Eq (r3 a a_1 a_2) True)
% 198.88/199.11 (Or (Eq (Not (id a a_3)) True)
% 198.88/199.11 (Or (Eq (Not (id a_1 a_4)) True) (Or (Eq (id a_2 a_5) False) (Eq (r3 a_3 a_4 a_5) False))))
% 198.88/199.11 Clause #577 (by clausification #[576]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.88/199.11 Or (Eq (r3 a a_1 a_2) True)
% 198.88/199.11 (Or (Eq (Not (id a_1 a_3)) True)
% 198.88/199.11 (Or (Eq (id a_2 a_4) False) (Or (Eq (r3 a_5 a_3 a_4) False) (Eq (id a a_5) False))))
% 198.88/199.11 Clause #578 (by clausification #[577]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.88/199.11 Or (Eq (r3 a a_1 a_2) True)
% 198.88/199.11 (Or (Eq (id a_2 a_3) False) (Or (Eq (r3 a_4 a_5 a_3) False) (Or (Eq (id a a_4) False) (Eq (id a_1 a_5) False))))
% 198.88/199.11 Clause #590 (by superposition #[578, 75]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.88/199.11 Or (Eq (r3 a a_1 a_2) True)
% 198.88/199.11 (Or (Eq (r3 a_3 a_4 (skS.0 1 a_2 a_5)) False)
% 198.88/199.11 (Or (Eq (id a a_3) False) (Or (Eq (id a_1 a_4) False) (Eq False True))))
% 198.88/199.11 Clause #693 (by clausification #[202]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.88/199.11 Or (Eq (And (Not (r4 a a_1 a_2)) (Not (r4 a_3 a_4 a_5))) True)
% 198.88/199.11 (Or (Eq (r4 a a_1 a_2) True) (Or (Eq (Or (Not (id a a_3)) (Not (id a_1 a_4))) True) (Eq (Not (id a_2 a_5)) True)))
% 198.88/199.11 Clause #694 (by clausification #[693]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.88/199.11 Or (Eq (r4 a a_1 a_2) True)
% 198.88/199.11 (Or (Eq (Or (Not (id a a_3)) (Not (id a_1 a_4))) True)
% 198.88/199.11 (Or (Eq (Not (id a_2 a_5)) True) (Eq (Not (r4 a_3 a_4 a_5)) True)))
% 198.88/199.11 Clause #696 (by clausification #[694]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.88/199.11 Or (Eq (r4 a a_1 a_2) True)
% 198.88/199.11 (Or (Eq (Not (id a_2 a_3)) True)
% 198.88/199.11 (Or (Eq (Not (r4 a_4 a_5 a_3)) True) (Or (Eq (Not (id a a_4)) True) (Eq (Not (id a_1 a_5)) True))))
% 198.88/199.11 Clause #697 (by clausification #[696]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.88/199.11 Or (Eq (r4 a a_1 a_2) True)
% 198.88/199.11 (Or (Eq (Not (r4 a_3 a_4 a_5)) True)
% 198.88/199.11 (Or (Eq (Not (id a a_3)) True) (Or (Eq (Not (id a_1 a_4)) True) (Eq (id a_2 a_5) False))))
% 198.88/199.11 Clause #698 (by clausification #[697]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.88/199.11 Or (Eq (r4 a a_1 a_2) True)
% 198.88/199.11 (Or (Eq (Not (id a a_3)) True)
% 198.88/199.11 (Or (Eq (Not (id a_1 a_4)) True) (Or (Eq (id a_2 a_5) False) (Eq (r4 a_3 a_4 a_5) False))))
% 198.88/199.11 Clause #699 (by clausification #[698]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.88/199.11 Or (Eq (r4 a a_1 a_2) True)
% 198.88/199.11 (Or (Eq (Not (id a_1 a_3)) True)
% 198.88/199.11 (Or (Eq (id a_2 a_4) False) (Or (Eq (r4 a_5 a_3 a_4) False) (Eq (id a a_5) False))))
% 198.88/199.11 Clause #700 (by clausification #[699]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.88/199.11 Or (Eq (r4 a a_1 a_2) True)
% 198.88/199.11 (Or (Eq (id a_2 a_3) False) (Or (Eq (r4 a_4 a_5 a_3) False) (Or (Eq (id a a_4) False) (Eq (id a_1 a_5) False))))
% 198.88/199.11 Clause #719 (by superposition #[700, 19]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 198.88/199.11 Or (Eq (r4 a a_1 a_2) True)
% 198.88/199.11 (Or (Eq (r4 a_3 a_4 a_2) False) (Or (Eq (id a a_3) False) (Or (Eq (id a_1 a_4) False) (Eq False True))))
% 198.88/199.11 Clause #720 (by clausification #[719]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 198.88/199.11 Or (Eq (r4 a a_1 a_2) True) (Or (Eq (r4 a_3 a_4 a_2) False) (Or (Eq (id a a_3) False) (Eq (id a_1 a_4) False)))
% 198.88/199.11 Clause #721 (by superposition #[720, 319]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 198.88/199.11 Or (Eq (r4 a a_1 (skS.0 10 a_2 a_3)) True)
% 198.88/199.11 (Or (Eq (id a a_2) False) (Or (Eq (id a_1 (skS.0 12 a_2 a_3 a_4)) False) (Eq False True)))
% 198.88/199.11 Clause #725 (by clausification #[424]): ∀ (a a_1 a_2 a_3 : Iota),
% 198.94/199.14 Or (Eq (r2 (skS.0 0 a) a_1) True) (Or (Eq (id a_2 a_1) False) (Eq (r2 (skS.0 0 a_3) a_2) False))
% 198.94/199.14 Clause #744 (by superposition #[725, 19]): ∀ (a a_1 a_2 : Iota), Or (Eq (r2 (skS.0 0 a) a_1) True) (Or (Eq (r2 (skS.0 0 a_2) a_1) False) (Eq False True))
% 198.94/199.14 Clause #745 (by clausification #[744]): ∀ (a a_1 a_2 : Iota), Or (Eq (r2 (skS.0 0 a) a_1) True) (Eq (r2 (skS.0 0 a_2) a_1) False)
% 198.94/199.14 Clause #746 (by superposition #[745, 78]): ∀ (a a_1 a_2 : Iota), Or (Eq (r2 (skS.0 0 a) (skS.0 3 (skS.0 0 a_1) a_2)) True) (Eq False True)
% 198.94/199.14 Clause #750 (by clausification #[746]): ∀ (a a_1 a_2 : Iota), Eq (r2 (skS.0 0 a) (skS.0 3 (skS.0 0 a_1) a_2)) True
% 198.94/199.14 Clause #900 (by clausification #[327]): ∀ (a a_1 a_2 : Iota), Or (Eq (r1 (skS.0 10 a a_1)) True) (Eq (r1 (skS.0 11 a a_1 a_2)) False)
% 198.94/199.14 Clause #901 (by superposition #[900, 314]): ∀ (a a_1 : Iota), Or (Eq (r1 (skS.0 10 a a_1)) True) (Eq False True)
% 198.94/199.14 Clause #902 (by clausification #[901]): ∀ (a a_1 : Iota), Eq (r1 (skS.0 10 a a_1)) True
% 198.94/199.14 Clause #906 (by superposition #[902, 404]): ∀ (a a_1 a_2 : Iota), Or (Eq (id (skS.0 10 a a_1) (skS.0 0 a_2)) True) (Eq True False)
% 198.94/199.14 Clause #937 (by clausification #[906]): ∀ (a a_1 a_2 : Iota), Eq (id (skS.0 10 a a_1) (skS.0 0 a_2)) True
% 198.94/199.14 Clause #939 (by superposition #[937, 23]): ∀ (a a_1 a_2 : Iota), Or (Eq (id (skS.0 0 a) (skS.0 10 a_1 a_2)) True) (Eq True False)
% 198.94/199.14 Clause #962 (by clausification #[939]): ∀ (a a_1 a_2 : Iota), Eq (id (skS.0 0 a) (skS.0 10 a_1 a_2)) True
% 198.94/199.14 Clause #963 (by superposition #[962, 31]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (id a (skS.0 10 a_1 a_2)) True) (Or (Eq True False) (Eq (id a (skS.0 0 a_3)) False))
% 198.94/199.14 Clause #984 (by clausification #[963]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (id a (skS.0 10 a_1 a_2)) True) (Eq (id a (skS.0 0 a_3)) False)
% 198.94/199.14 Clause #986 (by superposition #[984, 447]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (id (skS.0 12 a a_1 a_2) (skS.0 10 a_3 a_4)) True) (Eq False True)
% 198.94/199.14 Clause #1140 (by clausification #[986]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (id (skS.0 12 a a_1 a_2) (skS.0 10 a_3 a_4)) True
% 198.94/199.14 Clause #1141 (by superposition #[1140, 23]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (id (skS.0 10 a a_1) (skS.0 12 a_2 a_3 a_4)) True) (Eq True False)
% 198.94/199.14 Clause #1165 (by clausification #[1141]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (id (skS.0 10 a a_1) (skS.0 12 a_2 a_3 a_4)) True
% 198.94/199.14 Clause #3905 (by clausification #[590]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.94/199.14 Or (Eq (r3 a a_1 a_2) True)
% 198.94/199.14 (Or (Eq (r3 a_3 a_4 (skS.0 1 a_2 a_5)) False) (Or (Eq (id a a_3) False) (Eq (id a_1 a_4) False)))
% 198.94/199.14 Clause #3906 (by superposition #[3905, 58]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 198.94/199.14 Or (Eq (r3 a a_1 a_2) True) (Or (Eq (id a a_2) False) (Or (Eq (id a_1 (skS.0 2 a_2 a_3 a_4)) False) (Eq False True)))
% 198.94/199.14 Clause #3907 (by clausification #[3906]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 198.94/199.14 Or (Eq (r3 a a_1 a_2) True) (Or (Eq (id a a_2) False) (Eq (id a_1 (skS.0 2 a_2 a_3 a_4)) False))
% 198.94/199.14 Clause #3978 (by superposition #[3907, 19]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (r3 a a_1 a) True) (Or (Eq (id a_1 (skS.0 2 a a_2 a_3)) False) (Eq False True))
% 198.94/199.14 Clause #3979 (by clausification #[3978]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (r3 a a_1 a) True) (Eq (id a_1 (skS.0 2 a a_2 a_3)) False)
% 198.94/199.14 Clause #3980 (by superposition #[3979, 562]): ∀ (a a_1 : Iota), Or (Eq (r3 a (skS.0 0 a_1) a) True) (Eq False True)
% 198.94/199.14 Clause #3995 (by clausification #[3980]): ∀ (a a_1 : Iota), Eq (r3 a (skS.0 0 a_1) a) True
% 198.94/199.14 Clause #7166 (by clausification #[390]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 198.94/199.14 Or (Eq (id a (skS.0 1 a_1 a_2)) False)
% 198.94/199.14 (Or (Eq (r3 a_3 a_4 a) False)
% 198.94/199.14 (Or (Eq (r4 a_5 a_3 a_1) False) (Or (Eq (r2 a_6 a_5) False) (Or (Eq (r1 a_7) False) (Eq (r2 a_7 a_6) False)))))
% 198.94/199.14 Clause #7172 (by superposition #[7166, 75]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.94/199.14 Or (Eq (r3 a a_1 a_2) False)
% 198.94/199.14 (Or (Eq (r4 a_3 a a_2) False)
% 198.94/199.14 (Or (Eq (r2 a_4 a_3) False) (Or (Eq (r1 a_5) False) (Or (Eq (r2 a_5 a_4) False) (Eq False True)))))
% 198.94/199.14 Clause #7187 (by clausification #[7172]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 198.94/199.14 Or (Eq (r3 a a_1 a_2) False)
% 198.94/199.14 (Or (Eq (r4 a_3 a a_2) False) (Or (Eq (r2 a_4 a_3) False) (Or (Eq (r1 a_5) False) (Eq (r2 a_5 a_4) False))))
% 199.24/199.46 Clause #7199 (by superposition #[7187, 3995]): ∀ (a a_1 a_2 a_3 : Iota),
% 199.24/199.46 Or (Eq (r4 a a_1 a_1) False)
% 199.24/199.46 (Or (Eq (r2 a_2 a) False) (Or (Eq (r1 a_3) False) (Or (Eq (r2 a_3 a_2) False) (Eq False True))))
% 199.24/199.46 Clause #7201 (by clausification #[7199]): ∀ (a a_1 a_2 a_3 : Iota),
% 199.24/199.46 Or (Eq (r4 a a_1 a_1) False) (Or (Eq (r2 a_2 a) False) (Or (Eq (r1 a_3) False) (Eq (r2 a_3 a_2) False)))
% 199.24/199.46 Clause #30950 (by clausification #[721]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 199.24/199.46 Or (Eq (r4 a a_1 (skS.0 10 a_2 a_3)) True) (Or (Eq (id a a_2) False) (Eq (id a_1 (skS.0 12 a_2 a_3 a_4)) False))
% 199.24/199.46 Clause #31109 (by superposition #[30950, 19]): ∀ (a a_1 a_2 a_3 : Iota),
% 199.24/199.46 Or (Eq (r4 a a_1 (skS.0 10 a a_2)) True) (Or (Eq (id a_1 (skS.0 12 a a_2 a_3)) False) (Eq False True))
% 199.24/199.46 Clause #31110 (by clausification #[31109]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (r4 a a_1 (skS.0 10 a a_2)) True) (Eq (id a_1 (skS.0 12 a a_2 a_3)) False)
% 199.24/199.46 Clause #31112 (by superposition #[31110, 1165]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (r4 a (skS.0 10 a_1 a_2) (skS.0 10 a a_3)) True) (Eq False True)
% 199.24/199.46 Clause #31154 (by clausification #[31112]): ∀ (a a_1 a_2 a_3 : Iota), Eq (r4 a (skS.0 10 a_1 a_2) (skS.0 10 a a_3)) True
% 199.24/199.46 Clause #31160 (by superposition #[31154, 7201]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Or (Eq (r2 a a_1) False) (Or (Eq (r1 a_2) False) (Eq (r2 a_2 a) False)))
% 199.24/199.46 Clause #31163 (by clausification #[31160]): ∀ (a a_1 a_2 : Iota), Or (Eq (r2 a a_1) False) (Or (Eq (r1 a_2) False) (Eq (r2 a_2 a) False))
% 199.24/199.46 Clause #31182 (by superposition #[31163, 78]): ∀ (a a_1 : Iota), Or (Eq (r1 a) False) (Or (Eq (r2 a a_1) False) (Eq False True))
% 199.24/199.46 Clause #31183 (by clausification #[31182]): ∀ (a a_1 : Iota), Or (Eq (r1 a) False) (Eq (r2 a a_1) False)
% 199.24/199.46 Clause #31184 (by superposition #[31183, 44]): ∀ (a a_1 : Iota), Or (Eq (r2 (skS.0 0 a) a_1) False) (Eq False True)
% 199.24/199.46 Clause #31394 (by clausification #[31184]): ∀ (a a_1 : Iota), Eq (r2 (skS.0 0 a) a_1) False
% 199.24/199.46 Clause #31395 (by superposition #[31394, 750]): Eq False True
% 199.24/199.46 Clause #31396 (by clausification #[31395]): False
% 199.24/199.46 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------