TSTP Solution File: GEO218+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO218+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n014.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 : Wed Aug 30 22:55:43 EDT 2023
% Result : Theorem 48.69s 48.99s
% Output : Proof 48.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GEO218+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.15 % Command : duper %s
% 0.16/0.36 % Computer : n014.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed Aug 30 00:00:29 EDT 2023
% 0.16/0.36 % CPUTime :
% 48.69/48.99 SZS status Theorem for theBenchmark.p
% 48.69/48.99 SZS output start Proof for theBenchmark.p
% 48.69/48.99 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Not (convergent_lines X X)) True
% 48.69/48.99 Clause #5 (by assumption #[]): Eq (∀ (X Y Z : Iota), convergent_lines X Y → Or (convergent_lines X Z) (convergent_lines Y Z)) True
% 48.69/48.99 Clause #14 (by assumption #[]): Eq (∀ (L M : Iota), Not (And (Not (convergent_lines L M)) (Not (unorthogonal_lines L M)))) True
% 48.69/48.99 Clause #15 (by assumption #[]): Eq
% 48.69/48.99 (∀ (L M N : Iota),
% 48.69/48.99 And (Or (Not (convergent_lines L M)) (Not (unorthogonal_lines L M)))
% 48.69/48.99 (Or (Not (convergent_lines L N)) (Not (unorthogonal_lines L N))) →
% 48.69/48.99 Or (Not (convergent_lines M N)) (Not (unorthogonal_lines M N)))
% 48.69/48.99 True
% 48.69/48.99 Clause #17 (by assumption #[]): Eq
% 48.69/48.99 (Not
% 48.69/48.99 (∀ (L M N : Iota), And (Not (convergent_lines L M)) (Not (unorthogonal_lines L N)) → Not (unorthogonal_lines M N)))
% 48.69/48.99 True
% 48.69/48.99 Clause #18 (by clausification #[2]): ∀ (a : Iota), Eq (Not (convergent_lines a a)) True
% 48.69/48.99 Clause #19 (by clausification #[18]): ∀ (a : Iota), Eq (convergent_lines a a) False
% 48.69/48.99 Clause #32 (by clausification #[17]): Eq (∀ (L M N : Iota), And (Not (convergent_lines L M)) (Not (unorthogonal_lines L N)) → Not (unorthogonal_lines M N))
% 48.69/48.99 False
% 48.69/48.99 Clause #33 (by clausification #[32]): ∀ (a : Iota),
% 48.69/48.99 Eq
% 48.69/48.99 (Not
% 48.69/48.99 (∀ (M N : Iota),
% 48.69/48.99 And (Not (convergent_lines (skS.0 0 a) M)) (Not (unorthogonal_lines (skS.0 0 a) N)) →
% 48.69/48.99 Not (unorthogonal_lines M N)))
% 48.69/48.99 True
% 48.69/48.99 Clause #34 (by clausification #[33]): ∀ (a : Iota),
% 48.69/48.99 Eq
% 48.69/48.99 (∀ (M N : Iota),
% 48.69/48.99 And (Not (convergent_lines (skS.0 0 a) M)) (Not (unorthogonal_lines (skS.0 0 a) N)) →
% 48.69/48.99 Not (unorthogonal_lines M N))
% 48.69/48.99 False
% 48.69/48.99 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota),
% 48.69/48.99 Eq
% 48.69/48.99 (Not
% 48.69/48.99 (∀ (N : Iota),
% 48.69/48.99 And (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1))) (Not (unorthogonal_lines (skS.0 0 a) N)) →
% 48.69/48.99 Not (unorthogonal_lines (skS.0 1 a a_1) N)))
% 48.69/48.99 True
% 48.69/48.99 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota),
% 48.69/48.99 Eq
% 48.69/48.99 (∀ (N : Iota),
% 48.69/48.99 And (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1))) (Not (unorthogonal_lines (skS.0 0 a) N)) →
% 48.69/48.99 Not (unorthogonal_lines (skS.0 1 a a_1) N))
% 48.69/48.99 False
% 48.69/48.99 Clause #37 (by clausification #[36]): ∀ (a a_1 a_2 : Iota),
% 48.69/48.99 Eq
% 48.69/48.99 (Not
% 48.69/48.99 (And (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 48.69/48.99 (Not (unorthogonal_lines (skS.0 0 a) (skS.0 2 a a_1 a_2))) →
% 48.69/48.99 Not (unorthogonal_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 48.69/48.99 True
% 48.69/48.99 Clause #38 (by clausification #[37]): ∀ (a a_1 a_2 : Iota),
% 48.69/48.99 Eq
% 48.69/48.99 (And (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 48.69/48.99 (Not (unorthogonal_lines (skS.0 0 a) (skS.0 2 a a_1 a_2))) →
% 48.69/48.99 Not (unorthogonal_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 48.69/48.99 False
% 48.69/48.99 Clause #39 (by clausification #[38]): ∀ (a a_1 a_2 : Iota),
% 48.69/48.99 Eq
% 48.69/48.99 (And (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 48.69/48.99 (Not (unorthogonal_lines (skS.0 0 a) (skS.0 2 a a_1 a_2))))
% 48.69/48.99 True
% 48.69/48.99 Clause #40 (by clausification #[38]): ∀ (a a_1 a_2 : Iota), Eq (Not (unorthogonal_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) False
% 48.69/48.99 Clause #41 (by clausification #[39]): ∀ (a a_1 a_2 : Iota), Eq (Not (unorthogonal_lines (skS.0 0 a) (skS.0 2 a a_1 a_2))) True
% 48.69/48.99 Clause #42 (by clausification #[39]): ∀ (a a_1 : Iota), Eq (Not (convergent_lines (skS.0 0 a) (skS.0 1 a a_1))) True
% 48.69/48.99 Clause #43 (by clausification #[41]): ∀ (a a_1 a_2 : Iota), Eq (unorthogonal_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)) False
% 48.69/48.99 Clause #80 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (Y Z : Iota), convergent_lines a Y → Or (convergent_lines a Z) (convergent_lines Y Z)) True
% 48.69/48.99 Clause #81 (by clausification #[80]): ∀ (a a_1 : Iota), Eq (∀ (Z : Iota), convergent_lines a a_1 → Or (convergent_lines a Z) (convergent_lines a_1 Z)) True
% 48.69/48.99 Clause #82 (by clausification #[81]): ∀ (a a_1 a_2 : Iota), Eq (convergent_lines a a_1 → Or (convergent_lines a a_2) (convergent_lines a_1 a_2)) True
% 48.69/48.99 Clause #83 (by clausification #[82]): ∀ (a a_1 a_2 : Iota),
% 48.69/48.99 Or (Eq (convergent_lines a a_1) False) (Eq (Or (convergent_lines a a_2) (convergent_lines a_1 a_2)) True)
% 48.69/49.02 Clause #84 (by clausification #[83]): ∀ (a a_1 a_2 : Iota),
% 48.69/49.02 Or (Eq (convergent_lines a a_1) False) (Or (Eq (convergent_lines a a_2) True) (Eq (convergent_lines a_1 a_2) True))
% 48.69/49.02 Clause #90 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (M : Iota), Not (And (Not (convergent_lines a M)) (Not (unorthogonal_lines a M)))) True
% 48.69/49.02 Clause #91 (by clausification #[90]): ∀ (a a_1 : Iota), Eq (Not (And (Not (convergent_lines a a_1)) (Not (unorthogonal_lines a a_1)))) True
% 48.69/49.02 Clause #92 (by clausification #[91]): ∀ (a a_1 : Iota), Eq (And (Not (convergent_lines a a_1)) (Not (unorthogonal_lines a a_1))) False
% 48.69/49.02 Clause #93 (by clausification #[92]): ∀ (a a_1 : Iota), Or (Eq (Not (convergent_lines a a_1)) False) (Eq (Not (unorthogonal_lines a a_1)) False)
% 48.69/49.02 Clause #94 (by clausification #[93]): ∀ (a a_1 : Iota), Or (Eq (Not (unorthogonal_lines a a_1)) False) (Eq (convergent_lines a a_1) True)
% 48.69/49.02 Clause #95 (by clausification #[94]): ∀ (a a_1 : Iota), Or (Eq (convergent_lines a a_1) True) (Eq (unorthogonal_lines a a_1) True)
% 48.69/49.02 Clause #96 (by superposition #[95, 43]): ∀ (a a_1 a_2 : Iota), Or (Eq (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)) True) (Eq True False)
% 48.69/49.02 Clause #97 (by clausification #[15]): ∀ (a : Iota),
% 48.69/49.02 Eq
% 48.69/49.02 (∀ (M N : Iota),
% 48.69/49.02 And (Or (Not (convergent_lines a M)) (Not (unorthogonal_lines a M)))
% 48.69/49.02 (Or (Not (convergent_lines a N)) (Not (unorthogonal_lines a N))) →
% 48.69/49.02 Or (Not (convergent_lines M N)) (Not (unorthogonal_lines M N)))
% 48.69/49.02 True
% 48.69/49.02 Clause #98 (by clausification #[97]): ∀ (a a_1 : Iota),
% 48.69/49.02 Eq
% 48.69/49.02 (∀ (N : Iota),
% 48.69/49.02 And (Or (Not (convergent_lines a a_1)) (Not (unorthogonal_lines a a_1)))
% 48.69/49.02 (Or (Not (convergent_lines a N)) (Not (unorthogonal_lines a N))) →
% 48.69/49.02 Or (Not (convergent_lines a_1 N)) (Not (unorthogonal_lines a_1 N)))
% 48.69/49.02 True
% 48.69/49.02 Clause #99 (by clausification #[98]): ∀ (a a_1 a_2 : Iota),
% 48.69/49.02 Eq
% 48.69/49.02 (And (Or (Not (convergent_lines a a_1)) (Not (unorthogonal_lines a a_1)))
% 48.69/49.02 (Or (Not (convergent_lines a a_2)) (Not (unorthogonal_lines a a_2))) →
% 48.69/49.02 Or (Not (convergent_lines a_1 a_2)) (Not (unorthogonal_lines a_1 a_2)))
% 48.69/49.02 True
% 48.69/49.02 Clause #100 (by clausification #[99]): ∀ (a a_1 a_2 : Iota),
% 48.69/49.02 Or
% 48.69/49.02 (Eq
% 48.69/49.02 (And (Or (Not (convergent_lines a a_1)) (Not (unorthogonal_lines a a_1)))
% 48.69/49.02 (Or (Not (convergent_lines a a_2)) (Not (unorthogonal_lines a a_2))))
% 48.69/49.02 False)
% 48.69/49.02 (Eq (Or (Not (convergent_lines a_1 a_2)) (Not (unorthogonal_lines a_1 a_2))) True)
% 48.69/49.02 Clause #101 (by clausification #[100]): ∀ (a a_1 a_2 : Iota),
% 48.69/49.02 Or (Eq (Or (Not (convergent_lines a a_1)) (Not (unorthogonal_lines a a_1))) True)
% 48.69/49.02 (Or (Eq (Or (Not (convergent_lines a_2 a)) (Not (unorthogonal_lines a_2 a))) False)
% 48.69/49.02 (Eq (Or (Not (convergent_lines a_2 a_1)) (Not (unorthogonal_lines a_2 a_1))) False))
% 48.69/49.02 Clause #102 (by clausification #[101]): ∀ (a a_1 a_2 : Iota),
% 48.69/49.02 Or (Eq (Or (Not (convergent_lines a a_1)) (Not (unorthogonal_lines a a_1))) False)
% 48.69/49.02 (Or (Eq (Or (Not (convergent_lines a a_2)) (Not (unorthogonal_lines a a_2))) False)
% 48.69/49.02 (Or (Eq (Not (convergent_lines a_1 a_2)) True) (Eq (Not (unorthogonal_lines a_1 a_2)) True)))
% 48.69/49.02 Clause #103 (by clausification #[102]): ∀ (a a_1 a_2 : Iota),
% 48.69/49.02 Or (Eq (Or (Not (convergent_lines a a_1)) (Not (unorthogonal_lines a a_1))) False)
% 48.69/49.02 (Or (Eq (Not (convergent_lines a_2 a_1)) True)
% 48.69/49.02 (Or (Eq (Not (unorthogonal_lines a_2 a_1)) True) (Eq (Not (unorthogonal_lines a a_2)) False)))
% 48.69/49.02 Clause #106 (by clausification #[103]): ∀ (a a_1 a_2 : Iota),
% 48.69/49.02 Or (Eq (Not (convergent_lines a a_1)) True)
% 48.69/49.02 (Or (Eq (Not (unorthogonal_lines a a_1)) True)
% 48.69/49.02 (Or (Eq (Not (unorthogonal_lines a_2 a)) False) (Eq (Not (convergent_lines a_2 a_1)) False)))
% 48.69/49.02 Clause #120 (by clausification #[42]): ∀ (a a_1 : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)) False
% 48.69/49.02 Clause #121 (by clausification #[96]): ∀ (a a_1 a_2 : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 2 a a_1 a_2)) True
% 48.69/49.02 Clause #126 (by superposition #[121, 84]): ∀ (a a_1 a_2 a_3 : Iota),
% 48.69/49.02 Or (Eq True False)
% 48.69/49.02 (Or (Eq (convergent_lines (skS.0 0 a) a_1) True) (Eq (convergent_lines (skS.0 2 a a_2 a_3) a_1) True))
% 48.69/49.04 Clause #127 (by clausification #[106]): ∀ (a a_1 a_2 : Iota),
% 48.69/49.04 Or (Eq (Not (unorthogonal_lines a a_1)) True)
% 48.69/49.04 (Or (Eq (Not (unorthogonal_lines a_2 a)) False)
% 48.69/49.04 (Or (Eq (Not (convergent_lines a_2 a_1)) False) (Eq (convergent_lines a a_1) False)))
% 48.69/49.04 Clause #128 (by clausification #[127]): ∀ (a a_1 a_2 : Iota),
% 48.69/49.04 Or (Eq (Not (unorthogonal_lines a a_1)) False)
% 48.69/49.04 (Or (Eq (Not (convergent_lines a a_2)) False)
% 48.69/49.04 (Or (Eq (convergent_lines a_1 a_2) False) (Eq (unorthogonal_lines a_1 a_2) False)))
% 48.69/49.04 Clause #129 (by clausification #[128]): ∀ (a a_1 a_2 : Iota),
% 48.69/49.04 Or (Eq (Not (convergent_lines a a_1)) False)
% 48.69/49.04 (Or (Eq (convergent_lines a_2 a_1) False)
% 48.69/49.04 (Or (Eq (unorthogonal_lines a_2 a_1) False) (Eq (unorthogonal_lines a a_2) True)))
% 48.69/49.04 Clause #130 (by clausification #[129]): ∀ (a a_1 a_2 : Iota),
% 48.69/49.04 Or (Eq (convergent_lines a a_1) False)
% 48.69/49.04 (Or (Eq (unorthogonal_lines a a_1) False)
% 48.69/49.04 (Or (Eq (unorthogonal_lines a_2 a) True) (Eq (convergent_lines a_2 a_1) True)))
% 48.69/49.04 Clause #132 (by clausification #[40]): ∀ (a a_1 a_2 : Iota), Eq (unorthogonal_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True
% 48.69/49.04 Clause #133 (by clausification #[126]): ∀ (a a_1 a_2 a_3 : Iota),
% 48.69/49.04 Or (Eq (convergent_lines (skS.0 0 a) a_1) True) (Eq (convergent_lines (skS.0 2 a a_2 a_3) a_1) True)
% 48.69/49.04 Clause #138 (by superposition #[133, 84]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 48.69/49.04 Or (Eq (convergent_lines (skS.0 0 a) a_1) True)
% 48.69/49.04 (Or (Eq True False) (Or (Eq (convergent_lines (skS.0 2 a a_2 a_3) a_4) True) (Eq (convergent_lines a_1 a_4) True)))
% 48.69/49.04 Clause #182 (by clausification #[138]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 48.69/49.04 Or (Eq (convergent_lines (skS.0 0 a) a_1) True)
% 48.69/49.04 (Or (Eq (convergent_lines (skS.0 2 a a_2 a_3) a_4) True) (Eq (convergent_lines a_1 a_4) True))
% 48.69/49.04 Clause #183 (by superposition #[182, 120]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 48.69/49.04 Or (Eq (convergent_lines (skS.0 2 a a_1 a_2) a_3) True)
% 48.69/49.04 (Or (Eq (convergent_lines (skS.0 1 a a_4) a_3) True) (Eq True False))
% 48.69/49.04 Clause #224 (by clausification #[183]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 48.69/49.04 Or (Eq (convergent_lines (skS.0 2 a a_1 a_2) a_3) True) (Eq (convergent_lines (skS.0 1 a a_4) a_3) True)
% 48.69/49.04 Clause #225 (by superposition #[224, 19]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_2 a_3)) True) (Eq True False)
% 48.69/49.04 Clause #234 (by superposition #[224, 19]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (convergent_lines (skS.0 2 a a_1 a_2) (skS.0 1 a a_3)) True) (Eq True False)
% 48.69/49.04 Clause #243 (by clausification #[234]): ∀ (a a_1 a_2 a_3 : Iota), Eq (convergent_lines (skS.0 2 a a_1 a_2) (skS.0 1 a a_3)) True
% 48.69/49.04 Clause #249 (by superposition #[243, 130]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 48.69/49.04 Or (Eq True False)
% 48.69/49.04 (Or (Eq (unorthogonal_lines (skS.0 2 a a_1 a_2) (skS.0 1 a a_3)) False)
% 48.69/49.04 (Or (Eq (unorthogonal_lines a_4 (skS.0 2 a a_1 a_2)) True) (Eq (convergent_lines a_4 (skS.0 1 a a_3)) True)))
% 48.69/49.04 Clause #252 (by clausification #[225]): ∀ (a a_1 a_2 a_3 : Iota), Eq (convergent_lines (skS.0 1 a a_1) (skS.0 2 a a_2 a_3)) True
% 48.69/49.04 Clause #258 (by superposition #[252, 130]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 48.69/49.04 Or (Eq True False)
% 48.69/49.04 (Or (Eq (unorthogonal_lines (skS.0 1 a a_1) (skS.0 2 a a_2 a_3)) False)
% 48.69/49.04 (Or (Eq (unorthogonal_lines a_4 (skS.0 1 a a_1)) True) (Eq (convergent_lines a_4 (skS.0 2 a a_2 a_3)) True)))
% 48.69/49.04 Clause #4322 (by clausification #[249]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 48.69/49.04 Or (Eq (unorthogonal_lines (skS.0 2 a a_1 a_2) (skS.0 1 a a_3)) False)
% 48.69/49.04 (Or (Eq (unorthogonal_lines a_4 (skS.0 2 a a_1 a_2)) True) (Eq (convergent_lines a_4 (skS.0 1 a a_3)) True))
% 48.69/49.04 Clause #4733 (by clausification #[258]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 48.69/49.04 Or (Eq (unorthogonal_lines (skS.0 1 a a_1) (skS.0 2 a a_2 a_3)) False)
% 48.69/49.04 (Or (Eq (unorthogonal_lines a_4 (skS.0 1 a a_1)) True) (Eq (convergent_lines a_4 (skS.0 2 a a_2 a_3)) True))
% 48.69/49.04 Clause #4734 (by superposition #[4733, 132]): ∀ (a a_1 a_2 a_3 : Iota),
% 48.69/49.04 Or (Eq (unorthogonal_lines a (skS.0 1 a_1 a_2)) True)
% 48.69/49.04 (Or (Eq (convergent_lines a (skS.0 2 a_1 a_2 a_3)) True) (Eq False True))
% 48.69/49.04 Clause #4779 (by clausification #[4734]): ∀ (a a_1 a_2 a_3 : Iota),
% 48.69/49.11 Or (Eq (unorthogonal_lines a (skS.0 1 a_1 a_2)) True) (Eq (convergent_lines a (skS.0 2 a_1 a_2 a_3)) True)
% 48.69/49.11 Clause #4780 (by superposition #[4779, 19]): ∀ (a a_1 a_2 : Iota), Or (Eq (unorthogonal_lines (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) True) (Eq True False)
% 48.69/49.11 Clause #4789 (by clausification #[4780]): ∀ (a a_1 a_2 : Iota), Eq (unorthogonal_lines (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) True
% 48.69/49.11 Clause #4790 (by superposition #[4789, 4322]): ∀ (a a_1 a_2 a_3 : Iota),
% 48.69/49.11 Or (Eq True False)
% 48.69/49.11 (Or (Eq (unorthogonal_lines a (skS.0 2 a_1 a_2 a_3)) True) (Eq (convergent_lines a (skS.0 1 a_1 a_2)) True))
% 48.69/49.11 Clause #4803 (by clausification #[4790]): ∀ (a a_1 a_2 a_3 : Iota),
% 48.69/49.11 Or (Eq (unorthogonal_lines a (skS.0 2 a_1 a_2 a_3)) True) (Eq (convergent_lines a (skS.0 1 a_1 a_2)) True)
% 48.69/49.11 Clause #4804 (by superposition #[4803, 43]): ∀ (a a_1 : Iota), Or (Eq (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)) True) (Eq True False)
% 48.69/49.11 Clause #4827 (by clausification #[4804]): ∀ (a a_1 : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 1 a a_1)) True
% 48.69/49.11 Clause #4828 (by superposition #[4827, 120]): Eq True False
% 48.69/49.11 Clause #4884 (by clausification #[4828]): False
% 48.69/49.11 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------