0.06/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.13	% Command    : do_CVC4 %s
0.13/0.34	% Computer   : n024.cluster.edu
0.13/0.34	% Model      : x86_64 x86_64
0.13/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory     : 8042.1875MB
0.13/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 180
0.13/0.34	% DateTime   : Thu Aug 29 09:07:35 EDT 2019
0.13/0.34	% CPUTime    : 
0.20/0.47	%----Proving TH0_NAR
0.20/0.47	------- cvc4-thf casc 27 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 180...
0.20/0.47	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
20.26/20.49	--- Run --uf-ho --ho-elim --full-saturate-quant at 20...
40.31/40.51	--- Run --uf-ho --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
40.74/41.01	% SZS status Theorem for theBenchmark
40.74/41.01	% SZS output start Proof for theBenchmark
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= c ii) c (ho_7 |e_|u_(-> $$unsorted $$unsorted)|_12| ii))) )) )
40.74/41.01	  ( skv_13 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) k_5 (ho_2 k_1 ii))) )) )
40.74/41.01	  ( skv_14 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= c ii) false (ho_4 (ho_3 k_5 b) ii))) )) )
40.74/41.01	  ( skv_15 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= c ii) true (ho_4 (ho_3 k_5 b) ii))) )) )
40.74/41.01	  ( skv_16 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) (ho_3 k_5 b) (ho_3 k_5 ii))) )) )
40.74/41.01	  ( skv_17 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= a ii) a (ho_7 k_6 ii))) )) )
40.74/41.01	  ( skv_21 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= c ii) a (ho_7 k_6 ii))) )) )
40.74/41.01	  ( skv_22 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= a ii) c (ho_7 k_6 ii))) )) )
40.74/41.01	  ( skv_23 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= c ii) c (ho_7 k_6 ii))) )) )
40.74/41.01	  ( skv_24 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= a ii) k_5 (ho_2 k_1 ii))) )) )
40.74/41.01	  ( skv_25 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= a ii) (ho_2 k_8 c) (ho_2 k_1 ii))) )) )
40.74/41.01	  ( skv_26 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) (ho_2 k_8 c) (ho_2 k_1 ii))) )) )
40.74/41.01	  ( skv_27 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= a ii) k_5 (ho_2 k_10 ii))) )) )
40.74/41.01	  ( skv_28 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) k_5 (ho_2 k_10 ii))) )) )
40.74/41.01	  ( skv_29 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= a ii) (ho_2 k_8 c) (ho_2 k_10 ii))) )) )
40.74/41.01	  ( skv_30 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) (ho_2 k_8 c) (ho_2 k_10 ii))) )) )
40.74/41.01	  ( skv_31 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= a ii) false (ho_4 (ho_3 k_5 b) ii))) )) )
40.74/41.01	  ( skv_32 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= a ii) true (ho_4 (ho_3 k_5 b) ii))) )) )
40.74/41.01	  ( skv_33 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= a ii) false (ho_4 (ho_3 (ho_2 k_8 c) c) ii))) )) )
40.74/41.01	  ( skv_34 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= c ii) false (ho_4 (ho_3 (ho_2 k_8 c) c) ii))) )) )
40.74/41.01	  ( skv_35 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= a ii) true (ho_4 (ho_3 (ho_2 k_8 c) c) ii))) )) )
40.74/41.01	  ( skv_36 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= c ii) true (ho_4 (ho_3 (ho_2 k_8 c) c) ii))) )) )
40.74/41.01	  ( skv_37 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= a ii) (ho_3 k_5 b) (ho_3 k_5 ii))) )) )
40.74/41.01	  ( skv_38 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= a ii) (ho_3 (ho_2 k_8 c) c) (ho_3 k_5 ii))) )) )
40.74/41.01	  ( skv_39 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) (ho_3 (ho_2 k_8 c) c) (ho_3 k_5 ii))) )) )
40.74/41.01	  ( skv_40 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= a ii) (ho_3 k_5 b) (ho_3 (ho_2 k_8 c) ii))) )) )
40.74/41.01	  ( skv_41 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) (ho_3 k_5 b) (ho_3 (ho_2 k_8 c) ii))) )) )
40.74/41.01	  ( skv_42 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (let ((_let_0 (ho_2 k_8 c))) (= (ho_3 v ii) (ite (= a ii) (ho_3 _let_0 c) (ho_3 _let_0 ii)))) )) )
40.74/41.01	  ( skv_43 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (let ((_let_0 (ho_2 k_8 c))) (= (ho_3 v ii) (ite (= c ii) (ho_3 _let_0 c) (ho_3 _let_0 ii)))) )) )
40.74/41.01	  ( skv_44 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((z $$unsorted)) (= (ho_2 k_1 z) (ho_2 k_10 z)) )
40.74/41.01	  ( skv_45 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((z $$unsorted)) (= (ho_4 (ho_3 k_5 b) z) (ho_4 (ho_3 (ho_2 k_8 c) c) z)) )
40.74/41.01	  ( skv_46 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((z $$unsorted)) (= (ho_3 k_5 z) (ho_3 (ho_2 k_8 c) z)) )
40.74/41.01	  ( skv_47 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= b ii) b (ho_7 |e_|u_(-> $$unsorted $$unsorted)|_12| ii))) )) )
40.74/41.01	  ( skv_76 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= c ii) b (ho_7 |e_|u_(-> $$unsorted $$unsorted)|_12| ii))) )) )
40.74/41.01	  ( skv_77 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= b ii) c (ho_7 |e_|u_(-> $$unsorted $$unsorted)|_12| ii))) )) )
40.74/41.01	  ( skv_78 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= b ii) k_5 (ho_2 k_1 ii))) )) )
40.74/41.01	  ( skv_79 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= b ii) (ho_2 k_10 a) (ho_2 k_1 ii))) )) )
40.74/41.01	  ( skv_80 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) (ho_2 k_10 a) (ho_2 k_1 ii))) )) )
40.74/41.01	  ( skv_81 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= b ii) (ho_2 k_8 c) (ho_2 k_1 ii))) )) )
40.74/41.01	  ( skv_82 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= b ii) (ho_2 k_10 skv_45) (ho_2 k_1 ii))) )) )
40.74/41.01	  ( skv_83 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) (ho_2 k_10 skv_45) (ho_2 k_1 ii))) )) )
40.74/41.01	  ( skv_84 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= b ii) k_5 (ho_2 k_10 ii))) )) )
40.74/41.01	  ( skv_85 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= b ii) (ho_2 k_10 a) (ho_2 k_10 ii))) )) )
40.74/41.01	  ( skv_86 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) (ho_2 k_10 a) (ho_2 k_10 ii))) )) )
40.74/41.01	  ( skv_87 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= b ii) (ho_2 k_8 c) (ho_2 k_10 ii))) )) )
40.74/41.01	  ( skv_88 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= b ii) (ho_2 k_10 skv_45) (ho_2 k_10 ii))) )) )
40.74/41.01	  ( skv_89 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) (ho_2 k_10 skv_45) (ho_2 k_10 ii))) )) )
40.74/41.01	  ( skv_90 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= b ii) k_5 (ho_2 skv_14 ii))) )) )
40.74/41.01	  ( skv_91 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) k_5 (ho_2 skv_14 ii))) )) )
40.74/41.01	  ( skv_92 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= b ii) (ho_2 k_10 a) (ho_2 skv_14 ii))) )) )
40.74/41.01	  ( skv_93 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) (ho_2 k_10 a) (ho_2 skv_14 ii))) )) )
40.74/41.01	  ( skv_94 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= b ii) (ho_2 k_8 c) (ho_2 skv_14 ii))) )) )
40.74/41.01	  ( skv_95 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) (ho_2 k_8 c) (ho_2 skv_14 ii))) )) )
40.74/41.01	  ( skv_96 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= b ii) (ho_2 k_10 skv_45) (ho_2 skv_14 ii))) )) )
40.74/41.01	  ( skv_97 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) (ho_2 k_10 skv_45) (ho_2 skv_14 ii))) )) )
40.74/41.01	  ( skv_98 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= b ii) false (ho_4 (ho_3 k_5 b) ii))) )) )
40.74/41.01	  ( skv_99 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= b ii) true (ho_4 (ho_3 k_5 b) ii))) )) )
40.74/41.01	  ( skv_100 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= b ii) false (ho_4 skv_15 ii))) )) )
40.74/41.01	  ( skv_101 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= c ii) false (ho_4 skv_15 ii))) )) )
40.74/41.01	  ( skv_102 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= b ii) true (ho_4 skv_15 ii))) )) )
40.74/41.01	  ( skv_103 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= c ii) true (ho_4 skv_15 ii))) )) )
40.74/41.01	  ( skv_104 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= b ii) false (ho_4 (ho_3 (ho_2 k_8 c) c) ii))) )) )
40.74/41.01	  ( skv_105 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= b ii) true (ho_4 (ho_3 (ho_2 k_8 c) c) ii))) )) )
40.74/41.01	  ( skv_106 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= b ii) false (ho_4 (ho_3 (ho_2 k_8 c) skv_47) ii))) )) )
40.74/41.01	  ( skv_107 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= c ii) false (ho_4 (ho_3 (ho_2 k_8 c) skv_47) ii))) )) )
40.74/41.01	  ( skv_108 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= b ii) true (ho_4 (ho_3 (ho_2 k_8 c) skv_47) ii))) )) )
40.74/41.01	  ( skv_109 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= c ii) true (ho_4 (ho_3 (ho_2 k_8 c) skv_47) ii))) )) )
40.74/41.01	  ( skv_110 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) (ho_3 k_5 b) (ho_3 k_5 ii))) )) )
40.74/41.01	  ( skv_111 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) skv_15 (ho_3 k_5 ii))) )) )
40.74/41.01	  ( skv_112 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) skv_15 (ho_3 k_5 ii))) )) )
40.74/41.01	  ( skv_113 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) (ho_3 (ho_2 k_8 c) c) (ho_3 k_5 ii))) )) )
40.74/41.01	  ( skv_114 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) (ho_3 (ho_2 k_8 c) skv_47) (ho_3 k_5 ii))) )) )
40.74/41.01	  ( skv_115 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) (ho_3 (ho_2 k_8 c) skv_47) (ho_3 k_5 ii))) )) )
40.74/41.01	  ( skv_116 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) (ho_3 k_5 b) (ho_3 (ho_2 k_10 a) ii))) )) )
40.74/41.01	  ( skv_117 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) (ho_3 k_5 b) (ho_3 (ho_2 k_10 a) ii))) )) )
40.74/41.01	  ( skv_118 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) skv_15 (ho_3 (ho_2 k_10 a) ii))) )) )
40.74/41.01	  ( skv_119 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) skv_15 (ho_3 (ho_2 k_10 a) ii))) )) )
40.74/41.01	  ( skv_120 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) (ho_3 (ho_2 k_8 c) c) (ho_3 (ho_2 k_10 a) ii))) )) )
40.74/41.01	  ( skv_121 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) (ho_3 (ho_2 k_8 c) c) (ho_3 (ho_2 k_10 a) ii))) )) )
40.74/41.01	  ( skv_122 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) (ho_3 (ho_2 k_8 c) skv_47) (ho_3 (ho_2 k_10 a) ii))) )) )
40.74/41.01	  ( skv_123 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) (ho_3 (ho_2 k_8 c) skv_47) (ho_3 (ho_2 k_10 a) ii))) )) )
40.74/41.01	  ( skv_124 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) (ho_3 k_5 b) (ho_3 (ho_2 k_8 c) ii))) )) )
40.74/41.01	  ( skv_125 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) skv_15 (ho_3 (ho_2 k_8 c) ii))) )) )
40.74/41.01	  ( skv_126 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) skv_15 (ho_3 (ho_2 k_8 c) ii))) )) )
40.74/41.01	  ( skv_127 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (let ((_let_0 (ho_2 k_8 c))) (= (ho_3 v ii) (ite (= b ii) (ho_3 _let_0 c) (ho_3 _let_0 ii)))) )) )
40.74/41.01	  ( skv_128 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (let ((_let_0 (ho_2 k_8 c))) (= (ho_3 v ii) (ite (= b ii) (ho_3 _let_0 skv_47) (ho_3 _let_0 ii)))) )) )
40.74/41.01	  ( skv_129 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (let ((_let_0 (ho_2 k_8 c))) (= (ho_3 v ii) (ite (= c ii) (ho_3 _let_0 skv_47) (ho_3 _let_0 ii)))) )) )
40.74/41.01	  ( skv_130 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) (ho_3 k_5 b) (ho_3 (ho_2 k_10 skv_45) ii))) )) )
40.74/41.01	  ( skv_131 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) (ho_3 k_5 b) (ho_3 (ho_2 k_10 skv_45) ii))) )) )
40.74/41.01	  ( skv_132 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) skv_15 (ho_3 (ho_2 k_10 skv_45) ii))) )) )
40.74/41.01	  ( skv_133 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) skv_15 (ho_3 (ho_2 k_10 skv_45) ii))) )) )
40.74/41.01	  ( skv_134 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) (ho_3 (ho_2 k_8 c) c) (ho_3 (ho_2 k_10 skv_45) ii))) )) )
40.74/41.01	  ( skv_135 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) (ho_3 (ho_2 k_8 c) c) (ho_3 (ho_2 k_10 skv_45) ii))) )) )
40.74/41.01	  ( skv_136 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) (ho_3 (ho_2 k_8 c) skv_47) (ho_3 (ho_2 k_10 skv_45) ii))) )) )
40.74/41.01	  ( skv_137 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) (ho_3 (ho_2 k_8 c) skv_47) (ho_3 (ho_2 k_10 skv_45) ii))) )) )
40.74/41.01	  ( skv_138 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((z $$unsorted)) (= (ho_3 k_5 z) (ho_3 (ho_2 k_10 skv_45) z)) )
40.74/41.01	  ( skv_139 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((z $$unsorted)) (= (ho_2 k_1 z) (ho_2 skv_14 z)) )
40.74/41.01	  ( skv_140 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((z $$unsorted)) (= (ho_3 k_5 z) (ho_3 (ho_2 k_10 a) z)) )
40.74/41.01	  ( skv_141 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((z $$unsorted)) (= (ho_4 (ho_3 k_5 b) z) (ho_4 skv_15 z)) )
40.74/41.01	  ( skv_142 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((z $$unsorted)) (= (ho_4 (ho_3 k_5 b) z) (ho_4 (ho_3 (ho_2 k_8 c) skv_47) z)) )
40.74/41.01	  ( skv_143 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((z $$unsorted)) (= (ho_2 k_10 z) (ho_2 skv_14 z)) )
40.74/41.01	  ( skv_144 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((z $$unsorted)) (= (ho_3 (ho_2 k_10 a) z) (ho_3 (ho_2 k_10 skv_45) z)) )
40.74/41.01	  ( skv_145 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((z $$unsorted)) (= (ho_3 (ho_2 k_8 c) z) (ho_3 (ho_2 k_10 skv_45) z)) )
40.74/41.01	  ( skv_146 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((z $$unsorted)) (= (ho_4 skv_15 z) (ho_4 (ho_3 (ho_2 k_8 c) skv_47) z)) )
40.74/41.01	  ( skv_147 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((z $$unsorted)) (= (ho_4 skv_15 z) (ho_4 (ho_3 (ho_2 k_8 c) c) z)) )
40.74/41.01	  ( skv_148 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((z $$unsorted)) (let ((_let_0 (ho_2 k_8 c))) (= (ho_4 (ho_3 _let_0 c) z) (ho_4 (ho_3 _let_0 skv_47) z))) )
40.74/41.01	  ( skv_149 )
40.74/41.01	)
40.74/41.01	(skolem (forall ((z $$unsorted)) (= (ho_3 (ho_2 k_8 c) z) (ho_3 (ho_2 k_10 a) z)) )
40.74/41.01	  ( skv_150 )
40.74/41.01	)
40.74/41.01	(instantiation (forall ((Xx $$unsorted)) (ho_4 (ho_3 k_5 d) Xx) )
40.74/41.01	  ( c )
40.74/41.01	)
40.74/41.01	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (ho_4 (ho_3 k_5 (ho_7 k_6 Xx)) Xy) (not (ho_4 (ho_3 k_5 Xx) Xy))) )
40.74/41.01	  ( c, c )
40.74/41.01	  ( b, c )
40.74/41.01	  ( b, b )
40.74/41.01	  ( a, c )
40.74/41.01	  ( a, a )
40.74/41.01	)
40.74/41.01	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (ho_4 (ho_3 k_5 (ho_7 k_6 Xx)) Xu)) (not (ho_4 (ho_3 k_5 (ho_7 k_6 Xz)) Xw)) (ho_4 (ho_3 (ho_2 k_8 Xu) Xv) Xw) (not (ho_4 (ho_3 k_5 (ho_7 k_6 Xy)) Xv)) (not (ho_4 (ho_3 (ho_2 k_1 Xx) Xy) Xz))) )
40.74/41.01	  ( c, c, c, c, c, c )
40.74/41.01	  ( c, c, a, c, c, c )
40.74/41.01	  ( c, c, a, c, c, a )
40.74/41.01	  ( c, c, a, c, a, c )
40.74/41.01	  ( c, c, a, c, a, a )
40.74/41.01	  ( c, b, c, c, c, c )
40.74/41.01	  ( c, b, c, c, c, b )
40.74/41.01	  ( c, b, c, c, b, b )
40.74/41.01	  ( c, b, c, b, c, c )
40.74/41.01	  ( c, b, c, b, c, b )
40.74/41.01	  ( c, b, c, b, b, c )
40.74/41.01	  ( c, b, c, b, b, b )
40.74/41.01	  ( c, b, b, c, c, c )
40.74/41.01	  ( c, b, b, c, c, b )
40.74/41.01	  ( c, b, b, c, b, b )
40.74/41.01	  ( c, b, b, b, c, c )
40.74/41.01	  ( c, b, b, b, c, b )
40.74/41.01	  ( c, b, b, b, b, c )
40.74/41.01	  ( c, b, b, b, b, b )
40.74/41.01	  ( c, b, a, c, c, a )
40.74/41.01	  ( c, a, c, c, c, c )
40.74/41.01	  ( c, a, c, c, c, a )
40.74/41.01	  ( c, a, c, c, a, c )
40.74/41.01	  ( c, a, c, c, a, a )
40.74/41.01	  ( c, a, b, c, b, b )
40.74/41.01	  ( c, a, b, c, a, c )
40.74/41.01	  ( c, a, a, c, c, c )
40.74/41.01	  ( c, a, a, c, c, a )
40.74/41.01	  ( c, a, a, c, a, c )
40.74/41.01	  ( c, a, a, c, a, a )
40.74/41.01	  ( b, c, c, c, c, c )
40.74/41.01	  ( a, c, c, c, c, c )
40.74/41.01	  ( a, c, c, c, c, a )
40.74/41.01	  ( a, c, c, c, a, c )
40.74/41.01	  ( a, c, c, c, a, a )
40.74/41.01	  ( a, c, c, a, c, c )
40.74/41.01	  ( a, c, c, a, c, b )
40.74/41.01	  ( a, c, c, a, b, c )
40.74/41.01	  ( a, c, b, a, a, b )
40.74/41.01	  ( a, c, a, c, c, c )
40.74/41.01	  ( a, c, a, c, c, a )
40.74/41.01	  ( a, c, a, c, a, c )
40.74/41.01	  ( a, c, a, c, a, a )
40.74/41.01	  ( a, b, c, c, c, c )
40.74/41.01	  ( a, b, c, a, c, c )
40.74/41.01	  ( a, b, c, a, b, c )
40.74/41.01	  ( a, b, c, a, b, a )
40.74/41.01	  ( a, b, c, a, a, c )
40.74/41.01	  ( a, b, a, b, b, b )
40.74/41.01	  ( a, b, a, a, c, a )
40.74/41.01	  ( a, b, a, a, b, b )
40.74/41.01	  ( a, b, a, a, a, a )
40.74/41.01	  ( a, a, c, c, c, c )
40.74/41.01	  ( a, a, c, c, c, a )
40.74/41.01	  ( a, a, c, c, a, c )
40.74/41.01	  ( a, a, c, c, a, a )
40.74/41.01	  ( a, a, a, c, c, c )
40.74/41.01	  ( a, a, a, c, c, a )
40.74/41.01	  ( a, a, a, c, a, c )
40.74/41.01	  ( a, a, a, c, a, a )
40.74/41.01	  ( a, a, a, a, a, a )
40.74/41.01	)
40.74/41.01	(instantiation (forall ((Xx $$unsorted)) (ho_4 (ho_3 k_9 d) Xx) )
40.74/41.01	  ( c )
40.74/41.01	  ( b )
40.74/41.01	  ( a )
40.74/41.01	)
40.74/41.01	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (ho_4 (ho_3 k_9 Xx) Xy)) (ho_4 (ho_3 k_9 (ho_7 k_6 Xx)) Xy)) )
40.74/41.01	  ( c, c )
40.74/41.01	  ( b, c )
40.74/41.01	  ( b, b )
40.74/41.01	  ( a, c )
40.74/41.01	  ( a, a )
40.74/41.01	)
40.74/41.01	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (ho_4 (ho_3 k_9 (ho_7 k_6 Xx)) Xu)) (not (ho_4 (ho_3 k_9 (ho_7 k_6 Xy)) Xv)) (not (ho_4 (ho_3 k_9 (ho_7 k_6 Xz)) Xw)) (ho_4 (ho_3 (ho_2 k_10 Xu) Xv) Xw) (not (ho_4 (ho_3 (ho_2 k_8 Xx) Xy) Xz))) )
40.74/41.01	  ( c, c, c, c, c, c )
40.74/41.01	  ( c, c, a, c, c, c )
40.74/41.01	  ( c, c, a, c, c, a )
40.74/41.01	  ( c, c, a, c, a, c )
40.74/41.01	  ( c, c, a, c, a, a )
40.74/41.01	  ( c, c, a, a, c, c )
40.74/41.01	  ( c, c, a, a, c, a )
40.74/41.01	  ( c, c, a, a, a, c )
40.74/41.01	  ( c, c, a, a, a, a )
40.74/41.01	  ( c, b, c, c, c, c )
40.74/41.01	  ( c, b, c, c, c, b )
40.84/41.01	  ( c, b, c, c, b, c )
40.84/41.01	  ( c, b, c, c, b, b )
40.84/41.01	  ( c, b, c, b, c, c )
40.84/41.01	  ( c, b, c, b, c, b )
40.84/41.01	  ( c, b, c, b, b, c )
40.84/41.01	  ( c, b, c, b, b, b )
40.84/41.01	  ( c, b, b, c, c, c )
40.84/41.01	  ( c, b, b, c, c, b )
40.84/41.01	  ( c, b, b, c, b, c )
40.84/41.01	  ( c, b, b, c, b, b )
40.84/41.01	  ( c, b, b, b, c, c )
40.84/41.01	  ( c, b, b, b, c, b )
40.84/41.01	  ( c, b, b, b, b, c )
40.84/41.01	  ( c, b, b, b, b, b )
40.84/41.01	  ( c, b, a, b, b, a )
40.84/41.01	  ( c, a, c, c, c, c )
40.84/41.01	  ( c, a, c, c, c, a )
40.84/41.01	  ( c, a, c, c, a, c )
40.84/41.01	  ( c, a, c, c, a, a )
40.84/41.01	  ( c, a, c, a, c, c )
40.84/41.01	  ( c, a, c, a, c, a )
40.84/41.01	  ( c, a, c, a, a, c )
40.84/41.01	  ( c, a, c, a, a, a )
40.84/41.01	  ( c, a, a, c, c, c )
40.84/41.01	  ( c, a, a, c, c, a )
40.84/41.01	  ( c, a, a, c, a, c )
40.84/41.01	  ( c, a, a, c, a, a )
40.84/41.01	  ( c, a, a, a, c, c )
40.84/41.01	  ( c, a, a, a, c, a )
40.84/41.01	  ( c, a, a, a, a, c )
40.84/41.01	  ( c, a, a, a, a, a )
40.84/41.01	  ( b, c, c, b, b, b )
40.84/41.01	  ( b, c, b, b, b, b )
40.84/41.01	  ( b, b, c, b, b, b )
40.84/41.01	  ( b, b, b, b, b, b )
40.84/41.01	  ( a, c, c, c, c, c )
40.84/41.01	  ( a, c, c, c, c, a )
40.84/41.01	  ( a, c, c, c, a, c )
40.84/41.01	  ( a, c, c, c, a, a )
40.84/41.01	  ( a, c, c, a, c, c )
40.84/41.01	  ( a, c, c, a, c, a )
40.84/41.01	  ( a, c, c, a, a, c )
40.84/41.01	  ( a, c, c, a, a, a )
40.84/41.01	  ( a, c, b, b, b, b )
40.84/41.01	  ( a, c, b, a, b, b )
40.84/41.01	  ( a, c, a, c, c, c )
40.84/41.01	  ( a, c, a, c, c, a )
40.84/41.01	  ( a, c, a, c, a, c )
40.84/41.01	  ( a, c, a, c, a, a )
40.84/41.01	  ( a, c, a, a, c, c )
40.84/41.01	  ( a, c, a, a, c, a )
40.84/41.01	  ( a, c, a, a, a, c )
40.84/41.01	  ( a, c, a, a, a, a )
40.84/41.01	  ( a, b, c, b, b, b )
40.84/41.01	  ( a, b, c, a, b, c )
40.84/41.01	  ( a, b, c, a, b, b )
40.84/41.01	  ( a, b, a, b, b, b )
40.84/41.01	  ( a, b, a, a, b, a )
40.84/41.01	  ( a, a, c, c, c, c )
40.84/41.01	  ( a, a, c, c, c, a )
40.84/41.01	  ( a, a, c, c, a, c )
40.84/41.01	  ( a, a, c, c, a, a )
40.84/41.01	  ( a, a, c, a, c, c )
40.84/41.01	  ( a, a, c, a, c, a )
40.84/41.01	  ( a, a, c, a, a, c )
40.84/41.01	  ( a, a, c, a, a, a )
40.84/41.01	  ( a, a, a, c, c, c )
40.84/41.01	  ( a, a, a, c, c, a )
40.84/41.01	  ( a, a, a, c, a, c )
40.84/41.01	  ( a, a, a, c, a, a )
40.84/41.01	  ( a, a, a, a, c, c )
40.84/41.01	  ( a, a, a, a, c, a )
40.84/41.01	  ( a, a, a, a, a, c )
40.84/41.01	  ( a, a, a, a, a, a )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted)) (not (ho_4 (ho_3 (ho_2 k_10 Xx) Xy) Xz)) )
40.84/41.01	  ( c, c, c )
40.84/41.01	  ( c, c, a )
40.84/41.01	  ( c, c, skv_46 )
40.84/41.01	  ( c, b, skv_46 )
40.84/41.01	  ( c, a, c )
40.84/41.01	  ( c, a, a )
40.84/41.01	  ( b, b, c )
40.84/41.01	  ( b, b, b )
40.84/41.01	  ( a, c, c )
40.84/41.01	  ( a, c, a )
40.84/41.01	  ( a, c, skv_148 )
40.84/41.01	  ( a, c, skv_149 )
40.84/41.01	  ( a, b, c )
40.84/41.01	  ( a, b, b )
40.84/41.01	  ( a, b, a )
40.84/41.01	  ( a, b, skv_143 )
40.84/41.01	  ( a, b, skv_147 )
40.84/41.01	  ( a, b, skv_148 )
40.84/41.01	  ( a, b, skv_149 )
40.84/41.01	  ( a, a, c )
40.84/41.01	  ( a, a, a )
40.84/41.01	  ( a, a, skv_143 )
40.84/41.01	  ( a, a, skv_147 )
40.84/41.01	  ( a, a, skv_148 )
40.84/41.01	  ( a, a, skv_149 )
40.84/41.01	  ( skv_45, c, c )
40.84/41.01	  ( skv_45, c, b )
40.84/41.01	  ( skv_45, b, c )
40.84/41.01	  ( skv_45, b, b )
40.84/41.01	  ( skv_45, b, skv_147 )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((x |u_(-> $$unsorted $$unsorted)|) (y |u_(-> $$unsorted $$unsorted)|)) (or (not (forall ((z $$unsorted)) (= (ho_7 x z) (ho_7 y z)) )) (= x y)) )
40.84/41.01	  ( |e_|u_(-> $$unsorted $$unsorted)|_12|, |e_|u_(-> $$unsorted $$unsorted)|_12| )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((x |u_(-> $$unsorted $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_2 x z) (ho_2 y z)) )) (= x y)) )
40.84/41.01	  ( k_1, k_10 )
40.84/41.01	  ( k_1, skv_14 )
40.84/41.01	  ( k_10, k_1 )
40.84/41.01	  ( k_10, skv_14 )
40.84/41.01	  ( skv_14, k_1 )
40.84/41.01	  ( skv_14, k_10 )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_4 x z) (ho_4 y z)) )) (= x y)) )
40.84/41.01	  ( (ho_3 k_5 b), (ho_3 (ho_2 k_8 c) c) )
40.84/41.01	  ( (ho_3 k_5 b), skv_15 )
40.84/41.01	  ( (ho_3 k_5 b), (ho_3 (ho_2 k_8 c) skv_47) )
40.84/41.01	  ( (ho_3 (ho_2 k_8 c) c), (ho_3 k_5 b) )
40.84/41.01	  ( (ho_3 (ho_2 k_8 c) c), skv_15 )
40.84/41.01	  ( (ho_3 (ho_2 k_8 c) c), (ho_3 (ho_2 k_8 c) skv_47) )
40.84/41.01	  ( skv_15, (ho_3 k_5 b) )
40.84/41.01	  ( skv_15, (ho_3 (ho_2 k_8 c) c) )
40.84/41.01	  ( skv_15, (ho_3 (ho_2 k_8 c) skv_47) )
40.84/41.01	  ( (ho_3 (ho_2 k_8 c) skv_47), (ho_3 k_5 b) )
40.84/41.01	  ( (ho_3 (ho_2 k_8 c) skv_47), (ho_3 (ho_2 k_8 c) c) )
40.84/41.01	  ( (ho_3 (ho_2 k_8 c) skv_47), skv_15 )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((x |u_(-> $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_3 x z) (ho_3 y z)) )) (= x y)) )
40.84/41.01	  ( k_5, (ho_2 k_8 c) )
40.84/41.01	  ( k_5, (ho_2 k_10 a) )
40.84/41.01	  ( k_5, (ho_2 k_10 skv_45) )
40.84/41.01	  ( (ho_2 k_8 c), k_5 )
40.84/41.01	  ( (ho_2 k_8 c), (ho_2 k_10 a) )
40.84/41.01	  ( (ho_2 k_8 c), (ho_2 k_10 skv_45) )
40.84/41.01	  ( (ho_2 k_10 a), k_5 )
40.84/41.01	  ( (ho_2 k_10 a), (ho_2 k_8 c) )
40.84/41.01	  ( (ho_2 k_10 a), (ho_2 k_10 skv_45) )
40.84/41.01	  ( (ho_2 k_10 skv_45), k_5 )
40.84/41.01	  ( (ho_2 k_10 skv_45), (ho_2 k_8 c) )
40.84/41.01	  ( (ho_2 k_10 skv_45), (ho_2 k_10 a) )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((u |u_(-> $$unsorted $$unsorted)|) (e $$unsorted) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= i ii) e (ho_7 u ii))) )) )) )
40.84/41.01	  ( k_6, c, c )
40.84/41.01	  ( k_6, c, a )
40.84/41.01	  ( k_6, a, c )
40.84/41.01	  ( k_6, a, a )
40.84/41.01	  ( |e_|u_(-> $$unsorted $$unsorted)|_12|, c, c )
40.84/41.01	  ( |e_|u_(-> $$unsorted $$unsorted)|_12|, c, b )
40.84/41.01	  ( |e_|u_(-> $$unsorted $$unsorted)|_12|, b, c )
40.84/41.01	  ( |e_|u_(-> $$unsorted $$unsorted)|_12|, b, b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((u |u_(-> $$unsorted $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= i ii) e (ho_2 u ii))) )) )) )
40.84/41.01	  ( k_1, k_5, c )
40.84/41.01	  ( k_1, k_5, b )
40.84/41.01	  ( k_1, k_5, a )
40.84/41.01	  ( k_1, (ho_2 k_8 c), c )
40.84/41.01	  ( k_1, (ho_2 k_8 c), b )
40.84/41.01	  ( k_1, (ho_2 k_8 c), a )
40.84/41.01	  ( k_1, (ho_2 k_10 a), c )
40.84/41.01	  ( k_1, (ho_2 k_10 a), b )
40.84/41.01	  ( k_1, (ho_2 k_10 skv_45), c )
40.84/41.01	  ( k_1, (ho_2 k_10 skv_45), b )
40.84/41.01	  ( k_10, k_5, c )
40.84/41.01	  ( k_10, k_5, b )
40.84/41.01	  ( k_10, k_5, a )
40.84/41.01	  ( k_10, (ho_2 k_8 c), c )
40.84/41.01	  ( k_10, (ho_2 k_8 c), b )
40.84/41.01	  ( k_10, (ho_2 k_8 c), a )
40.84/41.01	  ( k_10, (ho_2 k_10 a), c )
40.84/41.01	  ( k_10, (ho_2 k_10 a), b )
40.84/41.01	  ( k_10, (ho_2 k_10 skv_45), c )
40.84/41.01	  ( k_10, (ho_2 k_10 skv_45), b )
40.84/41.01	  ( skv_14, k_5, c )
40.84/41.01	  ( skv_14, k_5, b )
40.84/41.01	  ( skv_14, (ho_2 k_8 c), c )
40.84/41.01	  ( skv_14, (ho_2 k_8 c), b )
40.84/41.01	  ( skv_14, (ho_2 k_10 a), c )
40.84/41.01	  ( skv_14, (ho_2 k_10 a), b )
40.84/41.01	  ( skv_14, (ho_2 k_10 skv_45), c )
40.84/41.01	  ( skv_14, (ho_2 k_10 skv_45), b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii))) )) )) )
40.84/41.01	  ( (ho_3 k_5 b), true, c )
40.84/41.01	  ( (ho_3 k_5 b), true, b )
40.84/41.01	  ( (ho_3 k_5 b), true, a )
40.84/41.01	  ( (ho_3 k_5 b), false, c )
40.84/41.01	  ( (ho_3 k_5 b), false, b )
40.84/41.01	  ( (ho_3 k_5 b), false, a )
40.84/41.01	  ( (ho_3 (ho_2 k_8 c) c), true, c )
40.84/41.01	  ( (ho_3 (ho_2 k_8 c) c), true, b )
40.84/41.01	  ( (ho_3 (ho_2 k_8 c) c), true, a )
40.84/41.01	  ( (ho_3 (ho_2 k_8 c) c), false, c )
40.84/41.01	  ( (ho_3 (ho_2 k_8 c) c), false, b )
40.84/41.01	  ( (ho_3 (ho_2 k_8 c) c), false, a )
40.84/41.01	  ( skv_15, true, c )
40.84/41.01	  ( skv_15, true, b )
40.84/41.01	  ( skv_15, false, c )
40.84/41.01	  ( skv_15, false, b )
40.84/41.01	  ( (ho_3 (ho_2 k_8 c) skv_47), true, c )
40.84/41.01	  ( (ho_3 (ho_2 k_8 c) skv_47), true, b )
40.84/41.01	  ( (ho_3 (ho_2 k_8 c) skv_47), false, c )
40.84/41.01	  ( (ho_3 (ho_2 k_8 c) skv_47), false, b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((u |u_(-> $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii))) )) )) )
40.84/41.01	  ( k_5, (ho_3 k_5 b), c )
40.84/41.01	  ( k_5, (ho_3 k_5 b), b )
40.84/41.01	  ( k_5, (ho_3 k_5 b), a )
40.84/41.01	  ( k_5, (ho_3 (ho_2 k_8 c) c), c )
40.84/41.01	  ( k_5, (ho_3 (ho_2 k_8 c) c), b )
40.84/41.01	  ( k_5, (ho_3 (ho_2 k_8 c) c), a )
40.84/41.01	  ( k_5, skv_15, c )
40.84/41.01	  ( k_5, skv_15, b )
40.84/41.01	  ( k_5, (ho_3 (ho_2 k_8 c) skv_47), c )
40.84/41.01	  ( k_5, (ho_3 (ho_2 k_8 c) skv_47), b )
40.84/41.01	  ( (ho_2 k_8 c), (ho_3 k_5 b), c )
40.84/41.01	  ( (ho_2 k_8 c), (ho_3 k_5 b), b )
40.84/41.01	  ( (ho_2 k_8 c), (ho_3 k_5 b), a )
40.84/41.01	  ( (ho_2 k_8 c), (ho_3 (ho_2 k_8 c) c), c )
40.84/41.01	  ( (ho_2 k_8 c), (ho_3 (ho_2 k_8 c) c), b )
40.84/41.01	  ( (ho_2 k_8 c), (ho_3 (ho_2 k_8 c) c), a )
40.84/41.01	  ( (ho_2 k_8 c), skv_15, c )
40.84/41.01	  ( (ho_2 k_8 c), skv_15, b )
40.84/41.01	  ( (ho_2 k_8 c), (ho_3 (ho_2 k_8 c) skv_47), c )
40.84/41.01	  ( (ho_2 k_8 c), (ho_3 (ho_2 k_8 c) skv_47), b )
40.84/41.01	  ( (ho_2 k_10 a), (ho_3 k_5 b), c )
40.84/41.01	  ( (ho_2 k_10 a), (ho_3 k_5 b), b )
40.84/41.01	  ( (ho_2 k_10 a), (ho_3 (ho_2 k_8 c) c), c )
40.84/41.01	  ( (ho_2 k_10 a), (ho_3 (ho_2 k_8 c) c), b )
40.84/41.01	  ( (ho_2 k_10 a), skv_15, c )
40.84/41.01	  ( (ho_2 k_10 a), skv_15, b )
40.84/41.01	  ( (ho_2 k_10 a), (ho_3 (ho_2 k_8 c) skv_47), c )
40.84/41.01	  ( (ho_2 k_10 a), (ho_3 (ho_2 k_8 c) skv_47), b )
40.84/41.01	  ( (ho_2 k_10 skv_45), (ho_3 k_5 b), c )
40.84/41.01	  ( (ho_2 k_10 skv_45), (ho_3 k_5 b), b )
40.84/41.01	  ( (ho_2 k_10 skv_45), (ho_3 (ho_2 k_8 c) c), c )
40.84/41.01	  ( (ho_2 k_10 skv_45), (ho_3 (ho_2 k_8 c) c), b )
40.84/41.01	  ( (ho_2 k_10 skv_45), skv_15, c )
40.84/41.01	  ( (ho_2 k_10 skv_45), skv_15, b )
40.84/41.01	  ( (ho_2 k_10 skv_45), (ho_3 (ho_2 k_8 c) skv_47), c )
40.84/41.01	  ( (ho_2 k_10 skv_45), (ho_3 (ho_2 k_8 c) skv_47), b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) c (ho_7 |e_|u_(-> $$unsorted $$unsorted)|_12| ii)) (ho_7 skv_13 ii)) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	  ( a )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) k_5 (ho_2 k_1 ii)) (ho_2 skv_14 ii)) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	  ( a )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ho_4 skv_15 ii) (ite (= c ii) false (ho_4 (ho_3 k_5 b) ii))) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	  ( a )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ho_4 skv_16 ii) (ite (= c ii) true (ho_4 (ho_3 k_5 b) ii))) )
40.84/41.01	  ( c )
40.84/41.01	  ( a )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) (ho_3 k_5 b) (ho_3 k_5 ii)) (ho_3 skv_17 ii)) )
40.84/41.01	  ( c )
40.84/41.01	  ( a )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ite (= a ii) a (ho_7 k_6 ii)) (ho_7 skv_21 ii)) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) a (ho_7 k_6 ii)) (ho_7 skv_22 ii)) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ite (= a ii) c (ho_7 k_6 ii)) (ho_7 skv_23 ii)) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) c (ho_7 k_6 ii)) (ho_7 skv_24 ii)) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ite (= a ii) k_5 (ho_2 k_1 ii)) (ho_2 skv_25 ii)) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ite (= a ii) (ho_2 k_8 c) (ho_2 k_1 ii)) (ho_2 skv_26 ii)) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) (ho_2 k_8 c) (ho_2 k_1 ii)) (ho_2 skv_27 ii)) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ite (= a ii) k_5 (ho_2 k_10 ii)) (ho_2 skv_28 ii)) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) k_5 (ho_2 k_10 ii)) (ho_2 skv_29 ii)) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ite (= a ii) (ho_2 k_8 c) (ho_2 k_10 ii)) (ho_2 skv_30 ii)) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) (ho_2 k_8 c) (ho_2 k_10 ii)) (ho_2 skv_31 ii)) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ho_4 skv_32 ii) (ite (= a ii) false (ho_4 (ho_3 k_5 b) ii))) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ho_4 skv_33 ii) (ite (= a ii) true (ho_4 (ho_3 k_5 b) ii))) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ho_4 skv_34 ii) (ite (= a ii) false (ho_4 (ho_3 (ho_2 k_8 c) c) ii))) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ho_4 skv_35 ii) (ite (= c ii) false (ho_4 (ho_3 (ho_2 k_8 c) c) ii))) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ho_4 skv_36 ii) (ite (= a ii) true (ho_4 (ho_3 (ho_2 k_8 c) c) ii))) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ho_4 skv_37 ii) (ite (= c ii) true (ho_4 (ho_3 (ho_2 k_8 c) c) ii))) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ite (= a ii) (ho_3 k_5 b) (ho_3 k_5 ii)) (ho_3 skv_38 ii)) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ite (= a ii) (ho_3 (ho_2 k_8 c) c) (ho_3 k_5 ii)) (ho_3 skv_39 ii)) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) (ho_3 (ho_2 k_8 c) c) (ho_3 k_5 ii)) (ho_3 skv_40 ii)) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ite (= a ii) (ho_3 k_5 b) (ho_3 (ho_2 k_8 c) ii)) (ho_3 skv_41 ii)) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) (ho_3 k_5 b) (ho_3 (ho_2 k_8 c) ii)) (ho_3 skv_42 ii)) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (let ((_let_0 (ho_2 k_8 c))) (= (ite (= a ii) (ho_3 _let_0 c) (ho_3 _let_0 ii)) (ho_3 skv_43 ii))) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	(instantiation (forall ((ii $$unsorted)) (let ((_let_0 (ho_2 k_8 c))) (= (ite (= c ii) (ho_3 _let_0 c) (ho_3 _let_0 ii)) (ho_3 skv_44 ii))) )
40.84/41.01	  ( c )
40.84/41.01	  ( b )
40.84/41.01	)
40.84/41.01	% SZS output end Proof for theBenchmark
40.84/41.01	EOF