0.07/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.14	% Command    : duper %s
0.14/0.35	% Computer : n010.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   : 1440
0.14/0.35	% WCLimit    : 180
0.14/0.35	% DateTime   : Mon Jul  3 04:21:39 EDT 2023
0.14/0.35	% CPUTime    : 
5.21/5.36	SZS status Theorem for theBenchmark.p
5.21/5.36	SZS output start Proof for theBenchmark.p
5.21/5.36	Clause #0 (by assumption #[]): Eq (∀ (Xx Xy : nat), Eq (pl Xx Xy) (pl Xy Xx)) True
5.21/5.36	Clause #1 (by assumption #[]): Eq
5.21/5.36	  (Not
5.21/5.36	    (Not
5.21/5.36	      ((Eq x y → Not (Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0)))) →
5.21/5.36	        Not
5.21/5.36	          (Not
5.21/5.36	            ((Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) → Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)))) →
5.21/5.36	              Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y))))))
5.21/5.36	  True
5.21/5.36	Clause #3 (by assumption #[]): Eq (∀ (Xx Xy Xz : nat), Eq (pl (pl Xx Xy) Xz) (pl Xx (pl Xy Xz))) True
5.21/5.36	Clause #4 (by assumption #[]): Eq (∀ (Xx Xy : nat), Ne Xy (pl Xx Xy)) True
5.21/5.36	Clause #9 (by clausification #[4]): ∀ (a : nat), Eq (∀ (Xy : nat), Ne Xy (pl a Xy)) True
5.21/5.36	Clause #10 (by clausification #[9]): ∀ (a a_1 : nat), Eq (Ne a (pl a_1 a)) True
5.21/5.36	Clause #11 (by clausification #[10]): ∀ (a a_1 : nat), Ne a (pl a_1 a)
5.21/5.36	Clause #12 (by clausification #[0]): ∀ (a : nat), Eq (∀ (Xy : nat), Eq (pl a Xy) (pl Xy a)) True
5.21/5.36	Clause #13 (by clausification #[12]): ∀ (a a_1 : nat), Eq (Eq (pl a a_1) (pl a_1 a)) True
5.21/5.36	Clause #14 (by clausification #[13]): ∀ (a a_1 : nat), Eq (pl a a_1) (pl a_1 a)
5.21/5.36	Clause #15 (by superposition #[14, 11]): ∀ (a a_1 : nat), Ne a (pl a a_1)
5.21/5.36	Clause #16 (by clausification #[1]): Eq
5.21/5.36	  (Not
5.21/5.36	    ((Eq x y → Not (Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0)))) →
5.21/5.36	      Not
5.21/5.36	        (Not
5.21/5.36	          ((Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) → Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)))) →
5.21/5.36	            Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y)))))
5.21/5.36	  False
5.21/5.36	Clause #17 (by clausification #[16]): Eq
5.21/5.36	  ((Eq x y → Not (Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0)))) →
5.21/5.36	    Not
5.21/5.36	      (Not
5.21/5.36	        ((Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) → Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)))) →
5.21/5.36	          Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y))))
5.21/5.36	  True
5.21/5.36	Clause #18 (by clausification #[17]): Or (Eq (Eq x y → Not (Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0)))) False)
5.21/5.36	  (Eq
5.21/5.36	    (Not
5.21/5.36	      (Not
5.21/5.36	        ((Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) → Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)))) →
5.21/5.36	          Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y))))
5.21/5.36	    True)
5.21/5.36	Clause #19 (by clausification #[18]): Or
5.21/5.36	  (Eq
5.21/5.36	    (Not
5.21/5.36	      (Not
5.21/5.36	        ((Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) → Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)))) →
5.21/5.36	          Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y))))
5.21/5.36	    True)
5.21/5.36	  (Eq (Eq x y) True)
5.21/5.36	Clause #20 (by clausification #[18]): Or
5.21/5.36	  (Eq
5.21/5.36	    (Not
5.21/5.36	      (Not
5.21/5.36	        ((Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) → Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)))) →
5.21/5.36	          Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y))))
5.21/5.36	    True)
5.21/5.36	  (Eq (Not (Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0)))) False)
5.21/5.36	Clause #21 (by clausification #[19]): Or (Eq (Eq x y) True)
5.21/5.36	  (Eq
5.21/5.36	    (Not
5.21/5.36	      ((Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) → Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)))) →
5.21/5.36	        Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y)))
5.21/5.36	    False)
5.21/5.36	Clause #22 (by clausification #[21]): Or
5.21/5.36	  (Eq
5.21/5.36	    (Not
5.21/5.36	      ((Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) → Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)))) →
5.21/5.36	        Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y)))
5.21/5.36	    False)
5.21/5.36	  (Eq x y)
5.21/5.36	Clause #23 (by clausification #[22]): Or (Eq x y)
5.21/5.36	  (Eq
5.21/5.36	    ((Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) → Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)))) →
5.21/5.36	      Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y))
5.21/5.36	    True)
5.21/5.36	Clause #24 (by clausification #[23]): Or (Eq x y)
5.21/5.36	  (Or (Eq (Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) → Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)))) False)
5.21/5.36	    (Eq (Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y)) True))
5.21/5.36	Clause #25 (by clausification #[24]): Or (Eq x y)
5.21/5.36	  (Or (Eq (Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y)) True)
5.21/5.36	    (Eq (Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0))) True))
5.21/5.36	Clause #26 (by clausification #[24]): Or (Eq x y)
5.21/5.36	  (Or (Eq (Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y)) True)
5.21/5.39	    (Eq (Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)))) False))
5.21/5.39	Clause #27 (by clausification #[25]): Or (Eq x y)
5.21/5.39	  (Or (Eq (Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0))) True) (Eq (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y) False))
5.21/5.39	Clause #28 (by clausification #[27]): Or (Eq x y)
5.21/5.39	  (Or (Eq (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y) False) (Eq (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) False))
5.21/5.39	Clause #30 (by clausification #[28]): Or (Eq x y) (Or (Eq (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) False) (Eq (Ne x y) False))
5.21/5.39	Clause #42 (by clausification #[3]): ∀ (a : nat), Eq (∀ (Xy Xz : nat), Eq (pl (pl a Xy) Xz) (pl a (pl Xy Xz))) True
5.21/5.39	Clause #43 (by clausification #[42]): ∀ (a a_1 : nat), Eq (∀ (Xz : nat), Eq (pl (pl a a_1) Xz) (pl a (pl a_1 Xz))) True
5.21/5.39	Clause #44 (by clausification #[43]): ∀ (a a_1 a_2 : nat), Eq (Eq (pl (pl a a_1) a_2) (pl a (pl a_1 a_2))) True
5.21/5.39	Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 : nat), Eq (pl (pl a a_1) a_2) (pl a (pl a_1 a_2))
5.21/5.39	Clause #46 (by superposition #[45, 11]): ∀ (a a_1 a_2 : nat), Ne a (pl a_1 (pl a_2 a))
5.21/5.39	Clause #49 (by superposition #[45, 15]): ∀ (a a_1 a_2 : nat), Ne (pl a a_1) (pl a (pl a_1 a_2))
5.21/5.39	Clause #58 (by superposition #[46, 14]): ∀ (a a_1 a_2 : nat), Ne a (pl a_1 (pl a a_2))
5.21/5.39	Clause #70 (by superposition #[49, 14]): ∀ (a a_1 a_2 : nat), Ne (pl a a_1) (pl a (pl a_2 a_1))
5.21/5.39	Clause #71 (by clausification #[20]): Or (Eq (Not (Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0)))) False)
5.21/5.39	  (Eq
5.21/5.39	    (Not
5.21/5.39	      ((Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) → Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)))) →
5.21/5.39	        Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y)))
5.21/5.39	    False)
5.21/5.39	Clause #72 (by clausification #[71]): Or
5.21/5.39	  (Eq
5.21/5.39	    (Not
5.21/5.39	      ((Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) → Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)))) →
5.21/5.39	        Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y)))
5.21/5.39	    False)
5.21/5.39	  (Eq (Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0))) True)
5.21/5.39	Clause #73 (by clausification #[72]): Or (Eq (Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0))) True)
5.21/5.39	  (Eq
5.21/5.39	    ((Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) → Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)))) →
5.21/5.39	      Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y))
5.21/5.39	    True)
5.21/5.39	Clause #74 (by clausification #[73]): Or
5.21/5.39	  (Eq
5.21/5.39	    ((Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) → Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)))) →
5.21/5.39	      Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y))
5.21/5.39	    True)
5.21/5.39	  (Eq (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) False)
5.21/5.39	Clause #75 (by clausification #[74]): Or (Eq (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) False)
5.21/5.39	  (Or (Eq (Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) → Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)))) False)
5.21/5.39	    (Eq (Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y)) True))
5.21/5.39	Clause #76 (by clausification #[75]): ∀ (a : nat),
5.21/5.39	  Or (Eq (Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) → Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)))) False)
5.21/5.39	    (Or (Eq (Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y)) True) (Eq (Not (Ne x (pl y (skS.0 2 a)))) True))
5.21/5.39	Clause #77 (by clausification #[76]): ∀ (a : nat),
5.21/5.39	  Or (Eq (Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y)) True)
5.21/5.39	    (Or (Eq (Not (Ne x (pl y (skS.0 2 a)))) True) (Eq (Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0))) True))
5.21/5.39	Clause #79 (by clausification #[77]): ∀ (a : nat),
5.21/5.39	  Or (Eq (Not (Ne x (pl y (skS.0 2 a)))) True)
5.21/5.39	    (Or (Eq (Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0))) True) (Eq (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y) False))
5.21/5.39	Clause #80 (by clausification #[79]): ∀ (a : nat),
5.21/5.39	  Or (Eq (Not (∀ (Xx_0 : nat), Ne x (pl y Xx_0))) True)
5.21/5.39	    (Or (Eq (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y) False) (Eq (Ne x (pl y (skS.0 2 a))) False))
5.21/5.39	Clause #81 (by clausification #[80]): ∀ (a : nat),
5.21/5.39	  Or (Eq (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y) False)
5.21/5.39	    (Or (Eq (Ne x (pl y (skS.0 2 a))) False) (Eq (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) False))
5.21/5.39	Clause #82 (by clausification #[81]): ∀ (a : nat),
5.21/5.39	  Or (Eq (Ne x (pl y (skS.0 2 a))) False)
5.27/5.41	    (Or (Eq (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) False) (Eq (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0))) True))
5.27/5.41	Clause #84 (by clausification #[82]): ∀ (a : nat),
5.27/5.41	  Or (Eq (∀ (Xx_0 : nat), Ne x (pl y Xx_0)) False)
5.27/5.41	    (Or (Eq (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0))) True) (Eq x (pl y (skS.0 2 a))))
5.27/5.41	Clause #85 (by clausification #[84]): ∀ (a a_1 : nat),
5.27/5.41	  Or (Eq (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0))) True)
5.27/5.41	    (Or (Eq x (pl y (skS.0 2 a))) (Eq (Not (Ne x (pl y (skS.0 3 a_1)))) True))
5.27/5.41	Clause #86 (by clausification #[85]): ∀ (a a_1 : nat),
5.27/5.41	  Or (Eq x (pl y (skS.0 2 a)))
5.27/5.41	    (Or (Eq (Not (Ne x (pl y (skS.0 3 a_1)))) True) (Eq (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) False))
5.27/5.41	Clause #87 (by clausification #[86]): ∀ (a a_1 : nat),
5.27/5.41	  Or (Eq x (pl y (skS.0 2 a))) (Or (Eq (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) False) (Eq (Ne x (pl y (skS.0 3 a_1))) False))
5.27/5.41	Clause #88 (by clausification #[87]): ∀ (a a_1 a_2 : nat),
5.27/5.41	  Or (Eq x (pl y (skS.0 2 a))) (Or (Eq (Ne x (pl y (skS.0 3 a_1))) False) (Eq (Not (Ne y (pl x (skS.0 4 a_2)))) True))
5.27/5.41	Clause #89 (by clausification #[88]): ∀ (a a_1 a_2 : nat),
5.27/5.41	  Or (Eq x (pl y (skS.0 2 a))) (Or (Eq (Not (Ne y (pl x (skS.0 4 a_1)))) True) (Eq x (pl y (skS.0 3 a_2))))
5.27/5.41	Clause #90 (by clausification #[89]): ∀ (a a_1 a_2 : nat),
5.27/5.41	  Or (Eq x (pl y (skS.0 2 a))) (Or (Eq x (pl y (skS.0 3 a_1))) (Eq (Ne y (pl x (skS.0 4 a_2))) False))
5.27/5.41	Clause #91 (by clausification #[90]): ∀ (a a_1 a_2 : nat), Or (Eq x (pl y (skS.0 2 a))) (Or (Eq x (pl y (skS.0 3 a_1))) (Eq y (pl x (skS.0 4 a_2))))
5.27/5.41	Clause #94 (by superposition #[91, 45]): ∀ (a a_1 a_2 a_3 : nat),
5.27/5.41	  Or (Eq x (pl y (skS.0 3 a))) (Or (Eq y (pl x (skS.0 4 a_1))) (Eq (pl x a_2) (pl y (pl (skS.0 2 a_3) a_2))))
5.27/5.41	Clause #146 (by clausification #[26]): Or (Eq x y)
5.27/5.41	  (Or (Eq (Not (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)))) False)
5.27/5.41	    (Eq (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y) False))
5.27/5.41	Clause #147 (by clausification #[146]): Or (Eq x y)
5.27/5.41	  (Or (Eq (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) → Ne x y) False) (Eq (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0))) True))
5.27/5.41	Clause #148 (by clausification #[147]): Or (Eq x y) (Or (Eq (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0))) True) (Eq (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0))) True))
5.27/5.41	Clause #150 (by clausification #[148]): Or (Eq x y) (Or (Eq (Not (∀ (Xx_0 : nat), Ne y (pl x Xx_0))) True) (Eq (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) False))
5.27/5.41	Clause #151 (by clausification #[150]): Or (Eq x y) (Or (Eq (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) False) (Eq (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) False))
5.27/5.41	Clause #152 (by clausification #[151]): ∀ (a : nat), Or (Eq x y) (Or (Eq (∀ (Xx_0 : nat), Ne y (pl x Xx_0)) False) (Eq (Not (Ne y (pl x (skS.0 5 a)))) True))
5.27/5.41	Clause #153 (by clausification #[152]): ∀ (a a_1 : nat), Or (Eq x y) (Or (Eq (Not (Ne y (pl x (skS.0 5 a)))) True) (Eq (Not (Ne y (pl x (skS.0 6 a_1)))) True))
5.27/5.41	Clause #154 (by clausification #[153]): ∀ (a a_1 : nat), Or (Eq x y) (Or (Eq (Not (Ne y (pl x (skS.0 6 a)))) True) (Eq (Ne y (pl x (skS.0 5 a_1))) False))
5.27/5.41	Clause #155 (by clausification #[154]): ∀ (a a_1 : nat), Or (Eq x y) (Or (Eq (Ne y (pl x (skS.0 5 a))) False) (Eq (Ne y (pl x (skS.0 6 a_1))) False))
5.27/5.41	Clause #156 (by clausification #[155]): ∀ (a a_1 : nat), Or (Eq x y) (Or (Eq (Ne y (pl x (skS.0 6 a))) False) (Eq y (pl x (skS.0 5 a_1))))
5.27/5.41	Clause #157 (by clausification #[156]): ∀ (a a_1 : nat), Or (Eq x y) (Or (Eq y (pl x (skS.0 5 a))) (Eq y (pl x (skS.0 6 a_1))))
5.27/5.41	Clause #200 (by clausification #[30]): ∀ (a : nat), Or (Eq x y) (Or (Eq (Ne x y) False) (Eq (Not (Ne x (pl y (skS.0 7 a)))) True))
5.27/5.41	Clause #201 (by clausification #[200]): ∀ (a : nat), Or (Eq x y) (Or (Eq (Not (Ne x (pl y (skS.0 7 a)))) True) (Eq x y))
5.27/5.41	Clause #202 (by clausification #[201]): ∀ (a : nat), Or (Eq x y) (Or (Eq x y) (Eq (Ne x (pl y (skS.0 7 a))) False))
5.27/5.41	Clause #203 (by clausification #[202]): ∀ (a : nat), Or (Eq x y) (Or (Eq x y) (Eq x (pl y (skS.0 7 a))))
5.27/5.41	Clause #204 (by eliminate duplicate literals #[203]): ∀ (a : nat), Or (Eq x y) (Eq x (pl y (skS.0 7 a)))
5.27/5.41	Clause #209 (by superposition #[204, 58]): ∀ (a : nat), Or (Eq x y) (Ne y (pl a x))
5.27/5.43	Clause #217 (by superposition #[209, 14]): ∀ (a : nat), Or (Eq x y) (Ne y (pl x a))
5.27/5.43	Clause #219 (by backward contextual literal cutting #[217, 157]): ∀ (a : nat), Or (Eq x y) (Eq y (pl x (skS.0 6 a)))
5.27/5.43	Clause #1155 (by forward contextual literal cutting #[219, 217]): Eq x y
5.27/5.43	Clause #1194 (by forward demodulation #[94, 1155]): ∀ (a a_1 a_2 a_3 : nat),
5.27/5.43	  Or (Eq y (pl y (skS.0 3 a))) (Or (Eq y (pl x (skS.0 4 a_1))) (Eq (pl x a_2) (pl y (pl (skS.0 2 a_3) a_2))))
5.27/5.43	Clause #1195 (by forward demodulation #[1194, 1155]): ∀ (a a_1 a_2 a_3 : nat),
5.27/5.43	  Or (Eq y (pl y (skS.0 3 a))) (Or (Eq y (pl y (skS.0 4 a_1))) (Eq (pl x a_2) (pl y (pl (skS.0 2 a_3) a_2))))
5.27/5.43	Clause #1196 (by forward demodulation #[1195, 1155]): ∀ (a a_1 a_2 a_3 : nat),
5.27/5.43	  Or (Eq y (pl y (skS.0 3 a))) (Or (Eq y (pl y (skS.0 4 a_1))) (Eq (pl y a_2) (pl y (pl (skS.0 2 a_3) a_2))))
5.27/5.43	Clause #1197 (by forward contextual literal cutting #[1196, 15]): ∀ (a a_1 a_2 : nat), Or (Eq y (pl y (skS.0 4 a))) (Eq (pl y a_1) (pl y (pl (skS.0 2 a_2) a_1)))
5.27/5.43	Clause #1198 (by forward contextual literal cutting #[1197, 15]): ∀ (a a_1 : nat), Eq (pl y a) (pl y (pl (skS.0 2 a_1) a))
5.27/5.43	Clause #1199 (by forward contextual literal cutting #[1198, 70]): False
5.27/5.43	SZS output end Proof for theBenchmark.p
5.27/5.43	EOF