TSTP Solution File: SEV416^5 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEV416^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n020.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 19:24:56 EDT 2023
% Result : Theorem 5.64s 5.80s
% Output : Proof 5.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV416^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n020.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 : Thu Aug 24 03:55:00 EDT 2023
% 0.14/0.35 % CPUTime :
% 5.64/5.80 SZS status Theorem for theBenchmark.p
% 5.64/5.80 SZS output start Proof for theBenchmark.p
% 5.64/5.80 Clause #0 (by assumption #[]): Eq
% 5.64/5.80 (Not
% 5.64/5.80 (Or (And (∀ (Xx : Iota), cA Xx → cB Xx) (∀ (Xx : Iota), cA Xx → cB Xx) → cG) ((∀ (Xx : Iota), cA Xx → cB Xx) → cG) →
% 5.64/5.80 (∀ (Xx : Iota), cA Xx → cB Xx) → cG))
% 5.64/5.80 True
% 5.64/5.80 Clause #1 (by clausification #[0]): Eq
% 5.64/5.80 (Or (And (∀ (Xx : Iota), cA Xx → cB Xx) (∀ (Xx : Iota), cA Xx → cB Xx) → cG) ((∀ (Xx : Iota), cA Xx → cB Xx) → cG) →
% 5.64/5.80 (∀ (Xx : Iota), cA Xx → cB Xx) → cG)
% 5.64/5.80 False
% 5.64/5.80 Clause #2 (by clausification #[1]): Eq (Or (And (∀ (Xx : Iota), cA Xx → cB Xx) (∀ (Xx : Iota), cA Xx → cB Xx) → cG) ((∀ (Xx : Iota), cA Xx → cB Xx) → cG))
% 5.64/5.80 True
% 5.64/5.80 Clause #3 (by clausification #[1]): Eq ((∀ (Xx : Iota), cA Xx → cB Xx) → cG) False
% 5.64/5.80 Clause #4 (by clausification #[2]): Or (Eq (And (∀ (Xx : Iota), cA Xx → cB Xx) (∀ (Xx : Iota), cA Xx → cB Xx) → cG) True)
% 5.64/5.80 (Eq ((∀ (Xx : Iota), cA Xx → cB Xx) → cG) True)
% 5.64/5.80 Clause #5 (by clausification #[4]): Or (Eq ((∀ (Xx : Iota), cA Xx → cB Xx) → cG) True)
% 5.64/5.80 (Or (Eq (And (∀ (Xx : Iota), cA Xx → cB Xx) (∀ (Xx : Iota), cA Xx → cB Xx)) False) (Eq cG True))
% 5.64/5.80 Clause #6 (by clausification #[5]): Or (Eq (And (∀ (Xx : Iota), cA Xx → cB Xx) (∀ (Xx : Iota), cA Xx → cB Xx)) False)
% 5.64/5.80 (Or (Eq cG True) (Or (Eq (∀ (Xx : Iota), cA Xx → cB Xx) False) (Eq cG True)))
% 5.64/5.80 Clause #7 (by clausification #[6]): Or (Eq cG True)
% 5.64/5.80 (Or (Eq (∀ (Xx : Iota), cA Xx → cB Xx) False)
% 5.64/5.80 (Or (Eq cG True) (Or (Eq (∀ (Xx : Iota), cA Xx → cB Xx) False) (Eq (∀ (Xx : Iota), cA Xx → cB Xx) False))))
% 5.64/5.80 Clause #8 (by clausification #[7]): ∀ (a : Iota),
% 5.64/5.80 Or (Eq cG True)
% 5.64/5.80 (Or (Eq cG True)
% 5.64/5.80 (Or (Eq (∀ (Xx : Iota), cA Xx → cB Xx) False)
% 5.64/5.80 (Or (Eq (∀ (Xx : Iota), cA Xx → cB Xx) False) (Eq (Not (cA (skS.0 0 a) → cB (skS.0 0 a))) True))))
% 5.64/5.80 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota),
% 5.64/5.80 Or (Eq cG True)
% 5.64/5.80 (Or (Eq cG True)
% 5.64/5.80 (Or (Eq (∀ (Xx : Iota), cA Xx → cB Xx) False)
% 5.64/5.80 (Or (Eq (Not (cA (skS.0 0 a) → cB (skS.0 0 a))) True) (Eq (Not (cA (skS.0 1 a_1) → cB (skS.0 1 a_1))) True))))
% 5.64/5.80 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.80 Or (Eq cG True)
% 5.64/5.80 (Or (Eq cG True)
% 5.64/5.80 (Or (Eq (Not (cA (skS.0 0 a) → cB (skS.0 0 a))) True)
% 5.64/5.80 (Or (Eq (Not (cA (skS.0 1 a_1) → cB (skS.0 1 a_1))) True)
% 5.64/5.80 (Eq (Not (cA (skS.0 2 a_2) → cB (skS.0 2 a_2))) True))))
% 5.64/5.80 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.80 Or (Eq cG True)
% 5.64/5.80 (Or (Eq cG True)
% 5.64/5.80 (Or (Eq (Not (cA (skS.0 1 a) → cB (skS.0 1 a))) True)
% 5.64/5.80 (Or (Eq (Not (cA (skS.0 2 a_1) → cB (skS.0 2 a_1))) True) (Eq (cA (skS.0 0 a_2) → cB (skS.0 0 a_2)) False))))
% 5.64/5.80 Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.80 Or (Eq cG True)
% 5.64/5.80 (Or (Eq cG True)
% 5.64/5.80 (Or (Eq (Not (cA (skS.0 2 a) → cB (skS.0 2 a))) True)
% 5.64/5.80 (Or (Eq (cA (skS.0 0 a_1) → cB (skS.0 0 a_1)) False) (Eq (cA (skS.0 1 a_2) → cB (skS.0 1 a_2)) False))))
% 5.64/5.80 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.80 Or (Eq cG True)
% 5.64/5.80 (Or (Eq cG True)
% 5.64/5.80 (Or (Eq (cA (skS.0 0 a) → cB (skS.0 0 a)) False)
% 5.64/5.80 (Or (Eq (cA (skS.0 1 a_1) → cB (skS.0 1 a_1)) False) (Eq (cA (skS.0 2 a_2) → cB (skS.0 2 a_2)) False))))
% 5.64/5.80 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.80 Or (Eq cG True)
% 5.64/5.80 (Or (Eq cG True)
% 5.64/5.80 (Or (Eq (cA (skS.0 1 a) → cB (skS.0 1 a)) False)
% 5.64/5.80 (Or (Eq (cA (skS.0 2 a_1) → cB (skS.0 2 a_1)) False) (Eq (cA (skS.0 0 a_2)) True))))
% 5.64/5.80 Clause #15 (by clausification #[13]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.80 Or (Eq cG True)
% 5.64/5.80 (Or (Eq cG True)
% 5.64/5.80 (Or (Eq (cA (skS.0 1 a) → cB (skS.0 1 a)) False)
% 5.64/5.80 (Or (Eq (cA (skS.0 2 a_1) → cB (skS.0 2 a_1)) False) (Eq (cB (skS.0 0 a_2)) False))))
% 5.64/5.80 Clause #16 (by clausification #[14]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.80 Or (Eq cG True)
% 5.64/5.80 (Or (Eq cG True)
% 5.64/5.80 (Or (Eq (cA (skS.0 2 a) → cB (skS.0 2 a)) False) (Or (Eq (cA (skS.0 0 a_1)) True) (Eq (cA (skS.0 1 a_2)) True))))
% 5.64/5.80 Clause #17 (by clausification #[14]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.83 Or (Eq cG True)
% 5.64/5.83 (Or (Eq cG True)
% 5.64/5.83 (Or (Eq (cA (skS.0 2 a) → cB (skS.0 2 a)) False) (Or (Eq (cA (skS.0 0 a_1)) True) (Eq (cB (skS.0 1 a_2)) False))))
% 5.64/5.83 Clause #18 (by clausification #[16]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.83 Or (Eq cG True)
% 5.64/5.83 (Or (Eq cG True) (Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq (cA (skS.0 2 a_2)) True))))
% 5.64/5.83 Clause #19 (by clausification #[16]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.83 Or (Eq cG True)
% 5.64/5.83 (Or (Eq cG True) (Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq (cB (skS.0 2 a_2)) False))))
% 5.64/5.83 Clause #20 (by eliminate duplicate literals #[18]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.83 Or (Eq cG True) (Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq (cA (skS.0 2 a_2)) True)))
% 5.64/5.83 Clause #21 (by clausification #[3]): Eq (∀ (Xx : Iota), cA Xx → cB Xx) True
% 5.64/5.83 Clause #22 (by clausification #[3]): Eq cG False
% 5.64/5.83 Clause #23 (by clausification #[21]): ∀ (a : Iota), Eq (cA a → cB a) True
% 5.64/5.83 Clause #24 (by clausification #[23]): ∀ (a : Iota), Or (Eq (cA a) False) (Eq (cB a) True)
% 5.64/5.83 Clause #28 (by backward demodulation #[22, 20]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.83 Or (Eq False True) (Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq (cA (skS.0 2 a_2)) True)))
% 5.64/5.83 Clause #29 (by clausification #[28]): ∀ (a a_1 a_2 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq (cA (skS.0 2 a_2)) True))
% 5.64/5.83 Clause #30 (by superposition #[29, 24]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.83 Or (Eq (cA (skS.0 1 a)) True) (Or (Eq (cA (skS.0 2 a_1)) True) (Or (Eq True False) (Eq (cB (skS.0 0 a_2)) True)))
% 5.64/5.83 Clause #32 (by superposition #[29, 24]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.83 Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Or (Eq True False) (Eq (cB (skS.0 2 a_2)) True)))
% 5.64/5.83 Clause #33 (by clausification #[32]): ∀ (a a_1 a_2 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq (cB (skS.0 2 a_2)) True))
% 5.64/5.83 Clause #34 (by superposition #[33, 24]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.83 Or (Eq (cA (skS.0 1 a)) True) (Or (Eq (cB (skS.0 2 a_1)) True) (Or (Eq True False) (Eq (cB (skS.0 0 a_2)) True)))
% 5.64/5.83 Clause #36 (by clausification #[15]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.83 Or (Eq cG True)
% 5.64/5.83 (Or (Eq cG True)
% 5.64/5.83 (Or (Eq (cA (skS.0 2 a) → cB (skS.0 2 a)) False) (Or (Eq (cB (skS.0 0 a_1)) False) (Eq (cA (skS.0 1 a_2)) True))))
% 5.64/5.83 Clause #37 (by clausification #[15]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.83 Or (Eq cG True)
% 5.64/5.83 (Or (Eq cG True)
% 5.64/5.83 (Or (Eq (cA (skS.0 2 a) → cB (skS.0 2 a)) False)
% 5.64/5.83 (Or (Eq (cB (skS.0 0 a_1)) False) (Eq (cB (skS.0 1 a_2)) False))))
% 5.64/5.83 Clause #38 (by clausification #[36]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.83 Or (Eq cG True)
% 5.64/5.83 (Or (Eq cG True) (Or (Eq (cB (skS.0 0 a)) False) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq (cA (skS.0 2 a_2)) True))))
% 5.64/5.83 Clause #39 (by clausification #[36]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.83 Or (Eq cG True)
% 5.64/5.83 (Or (Eq cG True) (Or (Eq (cB (skS.0 0 a)) False) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq (cB (skS.0 2 a_2)) False))))
% 5.64/5.83 Clause #40 (by eliminate duplicate literals #[38]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.83 Or (Eq cG True) (Or (Eq (cB (skS.0 0 a)) False) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq (cA (skS.0 2 a_2)) True)))
% 5.64/5.83 Clause #41 (by forward demodulation #[40, 22]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.83 Or (Eq False True) (Or (Eq (cB (skS.0 0 a)) False) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq (cA (skS.0 2 a_2)) True)))
% 5.64/5.83 Clause #42 (by clausification #[41]): ∀ (a a_1 a_2 : Iota), Or (Eq (cB (skS.0 0 a)) False) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq (cA (skS.0 2 a_2)) True))
% 5.64/5.83 Clause #47 (by clausification #[34]): ∀ (a a_1 a_2 : Iota), Or (Eq (cA (skS.0 1 a)) True) (Or (Eq (cB (skS.0 2 a_1)) True) (Eq (cB (skS.0 0 a_2)) True))
% 5.64/5.83 Clause #49 (by superposition #[47, 42]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.64/5.83 Or (Eq (cA (skS.0 1 a)) True)
% 5.64/5.83 (Or (Eq (cB (skS.0 2 a_1)) True)
% 5.64/5.83 (Or (Eq True False) (Or (Eq (cA (skS.0 1 a_2)) True) (Eq (cA (skS.0 2 a_3)) True))))
% 5.64/5.83 Clause #54 (by clausification #[17]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.83 Or (Eq cG True)
% 5.64/5.83 (Or (Eq cG True) (Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cB (skS.0 1 a_1)) False) (Eq (cA (skS.0 2 a_2)) True))))
% 5.64/5.83 Clause #55 (by clausification #[17]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.85 Or (Eq cG True)
% 5.64/5.85 (Or (Eq cG True) (Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cB (skS.0 1 a_1)) False) (Eq (cB (skS.0 2 a_2)) False))))
% 5.64/5.85 Clause #56 (by eliminate duplicate literals #[54]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.85 Or (Eq cG True) (Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cB (skS.0 1 a_1)) False) (Eq (cA (skS.0 2 a_2)) True)))
% 5.64/5.85 Clause #57 (by forward demodulation #[56, 22]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.85 Or (Eq False True) (Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cB (skS.0 1 a_1)) False) (Eq (cA (skS.0 2 a_2)) True)))
% 5.64/5.85 Clause #58 (by clausification #[57]): ∀ (a a_1 a_2 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cB (skS.0 1 a_1)) False) (Eq (cA (skS.0 2 a_2)) True))
% 5.64/5.85 Clause #63 (by clausification #[30]): ∀ (a a_1 a_2 : Iota), Or (Eq (cA (skS.0 1 a)) True) (Or (Eq (cA (skS.0 2 a_1)) True) (Eq (cB (skS.0 0 a_2)) True))
% 5.64/5.85 Clause #66 (by superposition #[63, 42]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.64/5.85 Or (Eq (cA (skS.0 1 a)) True)
% 5.64/5.85 (Or (Eq (cA (skS.0 2 a_1)) True)
% 5.64/5.85 (Or (Eq True False) (Or (Eq (cA (skS.0 1 a_2)) True) (Eq (cA (skS.0 2 a_3)) True))))
% 5.64/5.85 Clause #73 (by eliminate duplicate literals #[19]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.85 Or (Eq cG True) (Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq (cB (skS.0 2 a_2)) False)))
% 5.64/5.85 Clause #74 (by forward demodulation #[73, 22]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.85 Or (Eq False True) (Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq (cB (skS.0 2 a_2)) False)))
% 5.64/5.85 Clause #75 (by clausification #[74]): ∀ (a a_1 a_2 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq (cB (skS.0 2 a_2)) False))
% 5.64/5.85 Clause #90 (by eliminate duplicate literals #[55]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.85 Or (Eq cG True) (Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cB (skS.0 1 a_1)) False) (Eq (cB (skS.0 2 a_2)) False)))
% 5.64/5.85 Clause #91 (by forward demodulation #[90, 22]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.85 Or (Eq False True) (Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cB (skS.0 1 a_1)) False) (Eq (cB (skS.0 2 a_2)) False)))
% 5.64/5.85 Clause #92 (by clausification #[91]): ∀ (a a_1 a_2 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cB (skS.0 1 a_1)) False) (Eq (cB (skS.0 2 a_2)) False))
% 5.64/5.86 Clause #97 (by clausification #[37]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.86 Or (Eq cG True)
% 5.64/5.86 (Or (Eq cG True) (Or (Eq (cB (skS.0 0 a)) False) (Or (Eq (cB (skS.0 1 a_1)) False) (Eq (cA (skS.0 2 a_2)) True))))
% 5.64/5.86 Clause #98 (by clausification #[37]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.86 Or (Eq cG True)
% 5.64/5.86 (Or (Eq cG True) (Or (Eq (cB (skS.0 0 a)) False) (Or (Eq (cB (skS.0 1 a_1)) False) (Eq (cB (skS.0 2 a_2)) False))))
% 5.64/5.86 Clause #99 (by eliminate duplicate literals #[97]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.86 Or (Eq cG True) (Or (Eq (cB (skS.0 0 a)) False) (Or (Eq (cB (skS.0 1 a_1)) False) (Eq (cA (skS.0 2 a_2)) True)))
% 5.64/5.86 Clause #100 (by forward demodulation #[99, 22]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.86 Or (Eq False True) (Or (Eq (cB (skS.0 0 a)) False) (Or (Eq (cB (skS.0 1 a_1)) False) (Eq (cA (skS.0 2 a_2)) True)))
% 5.64/5.86 Clause #101 (by clausification #[100]): ∀ (a a_1 a_2 : Iota), Or (Eq (cB (skS.0 0 a)) False) (Or (Eq (cB (skS.0 1 a_1)) False) (Eq (cA (skS.0 2 a_2)) True))
% 5.64/5.86 Clause #106 (by eliminate duplicate literals #[98]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.86 Or (Eq cG True) (Or (Eq (cB (skS.0 0 a)) False) (Or (Eq (cB (skS.0 1 a_1)) False) (Eq (cB (skS.0 2 a_2)) False)))
% 5.64/5.86 Clause #107 (by forward demodulation #[106, 22]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.86 Or (Eq False True) (Or (Eq (cB (skS.0 0 a)) False) (Or (Eq (cB (skS.0 1 a_1)) False) (Eq (cB (skS.0 2 a_2)) False)))
% 5.64/5.86 Clause #108 (by clausification #[107]): ∀ (a a_1 a_2 : Iota), Or (Eq (cB (skS.0 0 a)) False) (Or (Eq (cB (skS.0 1 a_1)) False) (Eq (cB (skS.0 2 a_2)) False))
% 5.64/5.86 Clause #113 (by eliminate duplicate literals #[39]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.86 Or (Eq cG True) (Or (Eq (cB (skS.0 0 a)) False) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq (cB (skS.0 2 a_2)) False)))
% 5.64/5.86 Clause #114 (by forward demodulation #[113, 22]): ∀ (a a_1 a_2 : Iota),
% 5.64/5.86 Or (Eq False True) (Or (Eq (cB (skS.0 0 a)) False) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq (cB (skS.0 2 a_2)) False)))
% 5.64/5.86 Clause #115 (by clausification #[114]): ∀ (a a_1 a_2 : Iota), Or (Eq (cB (skS.0 0 a)) False) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq (cB (skS.0 2 a_2)) False))
% 5.72/5.88 Clause #141 (by clausification #[49]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.72/5.88 Or (Eq (cA (skS.0 1 a)) True)
% 5.72/5.88 (Or (Eq (cB (skS.0 2 a_1)) True) (Or (Eq (cA (skS.0 1 a_2)) True) (Eq (cA (skS.0 2 a_3)) True)))
% 5.72/5.88 Clause #146 (by equality factoring #[141]): ∀ (a a_1 a_2 : Iota),
% 5.72/5.88 Or (Eq (cB (skS.0 2 a)) True) (Or (Eq (cA (skS.0 2 a_1)) True) (Or (Ne True True) (Eq (cA (skS.0 1 a_2)) True)))
% 5.72/5.88 Clause #147 (by clausification #[146]): ∀ (a a_1 a_2 : Iota),
% 5.72/5.88 Or (Eq (cB (skS.0 2 a)) True)
% 5.72/5.88 (Or (Eq (cA (skS.0 2 a_1)) True) (Or (Eq (cA (skS.0 1 a_2)) True) (Or (Eq True False) (Eq True False))))
% 5.72/5.88 Clause #149 (by clausification #[147]): ∀ (a a_1 a_2 : Iota),
% 5.72/5.88 Or (Eq (cB (skS.0 2 a)) True) (Or (Eq (cA (skS.0 2 a_1)) True) (Or (Eq (cA (skS.0 1 a_2)) True) (Eq True False)))
% 5.72/5.88 Clause #150 (by clausification #[149]): ∀ (a a_1 a_2 : Iota), Or (Eq (cB (skS.0 2 a)) True) (Or (Eq (cA (skS.0 2 a_1)) True) (Eq (cA (skS.0 1 a_2)) True))
% 5.72/5.88 Clause #153 (by superposition #[150, 24]): ∀ (a a_1 a_2 : Iota),
% 5.72/5.88 Or (Eq (cB (skS.0 2 a)) True) (Or (Eq (cA (skS.0 2 a_1)) True) (Or (Eq True False) (Eq (cB (skS.0 1 a_2)) True)))
% 5.72/5.88 Clause #154 (by clausification #[153]): ∀ (a a_1 a_2 : Iota), Or (Eq (cB (skS.0 2 a)) True) (Or (Eq (cA (skS.0 2 a_1)) True) (Eq (cB (skS.0 1 a_2)) True))
% 5.72/5.88 Clause #156 (by superposition #[154, 24]): ∀ (a a_1 a_2 : Iota),
% 5.72/5.88 Or (Eq (cB (skS.0 2 a)) True) (Or (Eq (cB (skS.0 1 a_1)) True) (Or (Eq True False) (Eq (cB (skS.0 2 a_2)) True)))
% 5.72/5.88 Clause #159 (by clausification #[156]): ∀ (a a_1 a_2 : Iota), Or (Eq (cB (skS.0 2 a)) True) (Or (Eq (cB (skS.0 1 a_1)) True) (Eq (cB (skS.0 2 a_2)) True))
% 5.72/5.88 Clause #164 (by equality factoring #[159]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 1 a)) True) (Or (Ne True True) (Eq (cB (skS.0 2 a_1)) True))
% 5.72/5.88 Clause #165 (by clausification #[164]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 1 a)) True) (Or (Eq (cB (skS.0 2 a_1)) True) (Or (Eq True False) (Eq True False)))
% 5.72/5.88 Clause #167 (by clausification #[165]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 1 a)) True) (Or (Eq (cB (skS.0 2 a_1)) True) (Eq True False))
% 5.72/5.88 Clause #168 (by clausification #[167]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 1 a)) True) (Eq (cB (skS.0 2 a_1)) True)
% 5.72/5.88 Clause #169 (by superposition #[168, 58]): ∀ (a a_1 a_2 : Iota),
% 5.72/5.88 Or (Eq (cB (skS.0 2 a)) True) (Or (Eq (cA (skS.0 0 a_1)) True) (Or (Eq True False) (Eq (cA (skS.0 2 a_2)) True)))
% 5.72/5.88 Clause #178 (by clausification #[169]): ∀ (a a_1 a_2 : Iota), Or (Eq (cB (skS.0 2 a)) True) (Or (Eq (cA (skS.0 0 a_1)) True) (Eq (cA (skS.0 2 a_2)) True))
% 5.72/5.88 Clause #181 (by superposition #[178, 24]): ∀ (a a_1 a_2 : Iota),
% 5.72/5.88 Or (Eq (cB (skS.0 2 a)) True) (Or (Eq (cA (skS.0 0 a_1)) True) (Or (Eq True False) (Eq (cB (skS.0 2 a_2)) True)))
% 5.72/5.88 Clause #182 (by clausification #[181]): ∀ (a a_1 a_2 : Iota), Or (Eq (cB (skS.0 2 a)) True) (Or (Eq (cA (skS.0 0 a_1)) True) (Eq (cB (skS.0 2 a_2)) True))
% 5.72/5.88 Clause #186 (by equality factoring #[182]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Or (Ne True True) (Eq (cB (skS.0 2 a_1)) True))
% 5.72/5.88 Clause #187 (by clausification #[186]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cB (skS.0 2 a_1)) True) (Or (Eq True False) (Eq True False)))
% 5.72/5.88 Clause #189 (by clausification #[187]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cB (skS.0 2 a_1)) True) (Eq True False))
% 5.72/5.88 Clause #190 (by clausification #[189]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Eq (cB (skS.0 2 a_1)) True)
% 5.72/5.88 Clause #191 (by superposition #[190, 24]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 2 a)) True) (Or (Eq True False) (Eq (cB (skS.0 0 a_1)) True))
% 5.72/5.88 Clause #193 (by clausification #[191]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 2 a)) True) (Eq (cB (skS.0 0 a_1)) True)
% 5.72/5.88 Clause #240 (by clausification #[66]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.72/5.88 Or (Eq (cA (skS.0 1 a)) True)
% 5.72/5.88 (Or (Eq (cA (skS.0 2 a_1)) True) (Or (Eq (cA (skS.0 1 a_2)) True) (Eq (cA (skS.0 2 a_3)) True)))
% 5.72/5.88 Clause #246 (by equality factoring #[240]): ∀ (a a_1 a_2 : Iota),
% 5.72/5.88 Or (Eq (cA (skS.0 1 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Or (Ne True True) (Eq (cA (skS.0 2 a_2)) True)))
% 5.72/5.91 Clause #248 (by clausification #[246]): ∀ (a a_1 a_2 : Iota),
% 5.72/5.91 Or (Eq (cA (skS.0 1 a)) True)
% 5.72/5.91 (Or (Eq (cA (skS.0 1 a_1)) True) (Or (Eq (cA (skS.0 2 a_2)) True) (Or (Eq True False) (Eq True False))))
% 5.72/5.91 Clause #250 (by clausification #[248]): ∀ (a a_1 a_2 : Iota),
% 5.72/5.91 Or (Eq (cA (skS.0 1 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Or (Eq (cA (skS.0 2 a_2)) True) (Eq True False)))
% 5.72/5.91 Clause #251 (by clausification #[250]): ∀ (a a_1 a_2 : Iota), Or (Eq (cA (skS.0 1 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq (cA (skS.0 2 a_2)) True))
% 5.72/5.91 Clause #254 (by equality factoring #[251]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 2 a)) True) (Or (Ne True True) (Eq (cA (skS.0 1 a_1)) True))
% 5.72/5.91 Clause #255 (by clausification #[254]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 2 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Or (Eq True False) (Eq True False)))
% 5.72/5.91 Clause #257 (by clausification #[255]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 2 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq True False))
% 5.72/5.91 Clause #258 (by clausification #[257]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 2 a)) True) (Eq (cA (skS.0 1 a_1)) True)
% 5.72/5.91 Clause #259 (by superposition #[258, 24]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 1 a)) True) (Or (Eq True False) (Eq (cB (skS.0 2 a_1)) True))
% 5.72/5.91 Clause #265 (by clausification #[259]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 1 a)) True) (Eq (cB (skS.0 2 a_1)) True)
% 5.72/5.91 Clause #267 (by superposition #[265, 75]): ∀ (a a_1 a_2 : Iota),
% 5.72/5.91 Or (Eq (cA (skS.0 1 a)) True) (Or (Eq (cA (skS.0 0 a_1)) True) (Or (Eq (cA (skS.0 1 a_2)) True) (Eq True False)))
% 5.72/5.91 Clause #272 (by clausification #[267]): ∀ (a a_1 a_2 : Iota), Or (Eq (cA (skS.0 1 a)) True) (Or (Eq (cA (skS.0 0 a_1)) True) (Eq (cA (skS.0 1 a_2)) True))
% 5.72/5.91 Clause #276 (by equality factoring #[272]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Or (Ne True True) (Eq (cA (skS.0 1 a_1)) True))
% 5.72/5.91 Clause #277 (by clausification #[276]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Or (Eq True False) (Eq True False)))
% 5.72/5.91 Clause #279 (by clausification #[277]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq True False))
% 5.72/5.91 Clause #280 (by clausification #[279]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Eq (cA (skS.0 1 a_1)) True)
% 5.72/5.91 Clause #281 (by superposition #[280, 24]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 1 a)) True) (Or (Eq True False) (Eq (cB (skS.0 0 a_1)) True))
% 5.72/5.91 Clause #292 (by clausification #[281]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 1 a)) True) (Eq (cB (skS.0 0 a_1)) True)
% 5.72/5.91 Clause #296 (by superposition #[292, 115]): ∀ (a a_1 a_2 : Iota),
% 5.72/5.91 Or (Eq (cA (skS.0 1 a)) True) (Or (Eq True False) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq (cB (skS.0 2 a_2)) False)))
% 5.72/5.91 Clause #309 (by clausification #[296]): ∀ (a a_1 a_2 : Iota), Or (Eq (cA (skS.0 1 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq (cB (skS.0 2 a_2)) False))
% 5.72/5.91 Clause #313 (by superposition #[309, 265]): ∀ (a a_1 a_2 : Iota),
% 5.72/5.91 Or (Eq (cA (skS.0 1 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Or (Eq (cA (skS.0 1 a_2)) True) (Eq False True)))
% 5.72/5.91 Clause #315 (by clausification #[313]): ∀ (a a_1 a_2 : Iota), Or (Eq (cA (skS.0 1 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq (cA (skS.0 1 a_2)) True))
% 5.72/5.91 Clause #317 (by equality factoring #[315]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 1 a)) True) (Or (Ne True True) (Eq (cA (skS.0 1 a_1)) True))
% 5.72/5.91 Clause #318 (by clausification #[317]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 1 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Or (Eq True False) (Eq True False)))
% 5.72/5.91 Clause #320 (by clausification #[318]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 1 a)) True) (Or (Eq (cA (skS.0 1 a_1)) True) (Eq True False))
% 5.72/5.91 Clause #321 (by clausification #[320]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 1 a)) True) (Eq (cA (skS.0 1 a_1)) True)
% 5.72/5.91 Clause #323 (by equality factoring #[321]): ∀ (a : Iota), Or (Ne True True) (Eq (cA (skS.0 1 a)) True)
% 5.72/5.91 Clause #324 (by clausification #[323]): ∀ (a : Iota), Or (Eq (cA (skS.0 1 a)) True) (Or (Eq True False) (Eq True False))
% 5.72/5.91 Clause #326 (by clausification #[324]): ∀ (a : Iota), Or (Eq (cA (skS.0 1 a)) True) (Eq True False)
% 5.72/5.93 Clause #327 (by clausification #[326]): ∀ (a : Iota), Eq (cA (skS.0 1 a)) True
% 5.72/5.93 Clause #328 (by superposition #[327, 24]): ∀ (a : Iota), Or (Eq True False) (Eq (cB (skS.0 1 a)) True)
% 5.72/5.93 Clause #329 (by clausification #[328]): ∀ (a : Iota), Eq (cB (skS.0 1 a)) True
% 5.72/5.93 Clause #330 (by superposition #[329, 92]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Or (Eq True False) (Eq (cB (skS.0 2 a_1)) False))
% 5.72/5.93 Clause #332 (by clausification #[330]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Eq (cB (skS.0 2 a_1)) False)
% 5.72/5.93 Clause #334 (by superposition #[332, 193]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Or (Eq False True) (Eq (cB (skS.0 0 a_1)) True))
% 5.72/5.93 Clause #335 (by clausification #[334]): ∀ (a a_1 : Iota), Or (Eq (cA (skS.0 0 a)) True) (Eq (cB (skS.0 0 a_1)) True)
% 5.72/5.93 Clause #336 (by superposition #[335, 24]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 0 a)) True) (Or (Eq True False) (Eq (cB (skS.0 0 a_1)) True))
% 5.72/5.93 Clause #339 (by clausification #[336]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 0 a)) True) (Eq (cB (skS.0 0 a_1)) True)
% 5.72/5.93 Clause #342 (by equality factoring #[339]): ∀ (a : Iota), Or (Ne True True) (Eq (cB (skS.0 0 a)) True)
% 5.72/5.93 Clause #343 (by clausification #[342]): ∀ (a : Iota), Or (Eq (cB (skS.0 0 a)) True) (Or (Eq True False) (Eq True False))
% 5.72/5.93 Clause #345 (by clausification #[343]): ∀ (a : Iota), Or (Eq (cB (skS.0 0 a)) True) (Eq True False)
% 5.72/5.93 Clause #346 (by clausification #[345]): ∀ (a : Iota), Eq (cB (skS.0 0 a)) True
% 5.72/5.93 Clause #347 (by superposition #[346, 101]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (cB (skS.0 1 a)) False) (Eq (cA (skS.0 2 a_1)) True))
% 5.72/5.93 Clause #348 (by superposition #[346, 108]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (cB (skS.0 1 a)) False) (Eq (cB (skS.0 2 a_1)) False))
% 5.72/5.93 Clause #350 (by clausification #[348]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 1 a)) False) (Eq (cB (skS.0 2 a_1)) False)
% 5.72/5.93 Clause #351 (by superposition #[350, 329]): ∀ (a : Iota), Or (Eq (cB (skS.0 2 a)) False) (Eq False True)
% 5.72/5.93 Clause #352 (by clausification #[351]): ∀ (a : Iota), Eq (cB (skS.0 2 a)) False
% 5.72/5.93 Clause #356 (by clausification #[347]): ∀ (a a_1 : Iota), Or (Eq (cB (skS.0 1 a)) False) (Eq (cA (skS.0 2 a_1)) True)
% 5.72/5.93 Clause #357 (by superposition #[356, 329]): ∀ (a : Iota), Or (Eq (cA (skS.0 2 a)) True) (Eq False True)
% 5.72/5.93 Clause #359 (by clausification #[357]): ∀ (a : Iota), Eq (cA (skS.0 2 a)) True
% 5.72/5.93 Clause #360 (by superposition #[359, 24]): ∀ (a : Iota), Or (Eq True False) (Eq (cB (skS.0 2 a)) True)
% 5.72/5.93 Clause #361 (by clausification #[360]): ∀ (a : Iota), Eq (cB (skS.0 2 a)) True
% 5.72/5.93 Clause #362 (by superposition #[361, 352]): Eq True False
% 5.72/5.93 Clause #363 (by clausification #[362]): False
% 5.72/5.93 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------