0.08/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.08/0.14	% Command    : do_CVC4 %s
0.14/0.36	% Computer   : n009.cluster.edu
0.14/0.36	% Model      : x86_64 x86_64
0.14/0.36	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.36	% Memory     : 8042.1875MB
0.14/0.36	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.36	% CPULimit   : 180
0.14/0.36	% DateTime   : Thu Aug 29 10:17:12 EDT 2019
0.14/0.36	% CPUTime    : 
0.21/0.50	%----Proving TH0_NAR
0.21/0.51	------- cvc4-thf casc 27 : /export/starexec/sandbox/benchmark/theBenchmark.p at 180...
0.21/0.51	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
20.36/20.53	--- Run --uf-ho --ho-elim --full-saturate-quant at 20...
40.37/40.55	--- Run --uf-ho --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
40.38/41.00	% SZS status Theorem for theBenchmark
40.38/41.00	% SZS output start Proof for theBenchmark
40.38/41.00	(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))) )) )
40.38/41.00	  ( skv_17 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= c ii) c (ho_7 |e_|u_(-> $$unsorted $$unsorted)|_16| ii))) )) )
40.38/41.00	  ( skv_18 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= c ii) false (ho_4 (ho_3 k_5 a) ii))) )) )
40.38/41.00	  ( skv_19 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= c ii) true (ho_4 (ho_3 k_5 a) ii))) )) )
40.38/41.00	  ( skv_20 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) (ho_3 k_5 a) (ho_3 k_5 ii))) )) )
40.38/41.00	  ( skv_21 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= b ii) (ho_2 k_1 a) (ho_2 k_13 ii))) )) )
40.38/41.00	  ( skv_25 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) (ho_2 k_1 a) (ho_2 k_13 ii))) )) )
40.38/41.00	  ( skv_26 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= b ii) k_5 (ho_2 k_13 ii))) )) )
40.38/41.00	  ( skv_27 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) k_5 (ho_2 k_13 ii))) )) )
40.38/41.00	  ( skv_28 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= b ii) (ho_2 k_13 a) (ho_2 k_13 ii))) )) )
40.38/41.00	  ( skv_29 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) (ho_2 k_13 a) (ho_2 k_13 ii))) )) )
40.38/41.00	  ( skv_30 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= b ii) (ho_2 k_1 a) (ho_2 k_1 ii))) )) )
40.38/41.00	  ( skv_31 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) (ho_2 k_1 a) (ho_2 k_1 ii))) )) )
40.38/41.00	  ( skv_32 )
40.38/41.00	)
40.38/41.00	(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))) )) )
40.38/41.00	  ( skv_33 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= b ii) (ho_2 k_13 a) (ho_2 k_1 ii))) )) )
40.38/41.00	  ( skv_34 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= c ii) (ho_2 k_13 a) (ho_2 k_1 ii))) )) )
40.38/41.00	  ( skv_35 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= b ii) b (ho_7 k_6 ii))) )) )
40.38/41.00	  ( skv_36 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= c ii) b (ho_7 k_6 ii))) )) )
40.38/41.00	  ( skv_37 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= b ii) c (ho_7 k_6 ii))) )) )
40.38/41.00	  ( skv_38 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_7 v ii) (ite (= c ii) c (ho_7 k_6 ii))) )) )
40.38/41.00	  ( skv_39 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= b ii) false (ho_4 (ho_3 k_5 a) ii))) )) )
40.38/41.00	  ( skv_40 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= b ii) true (ho_4 (ho_3 k_5 a) ii))) )) )
40.38/41.00	  ( skv_41 )
40.38/41.00	)
40.38/41.00	(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_12 c) c) ii))) )) )
40.38/41.00	  ( skv_42 )
40.38/41.00	)
40.38/41.00	(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_12 c) c) ii))) )) )
40.38/41.00	  ( skv_43 )
40.38/41.00	)
40.38/41.00	(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_12 c) c) ii))) )) )
40.38/41.00	  ( skv_44 )
40.38/41.00	)
40.38/41.00	(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_12 c) c) ii))) )) )
40.38/41.00	  ( skv_45 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) (ho_3 k_5 a) (ho_3 (ho_2 k_1 a) ii))) )) )
40.38/41.00	  ( skv_46 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) (ho_3 k_5 a) (ho_3 (ho_2 k_1 a) ii))) )) )
40.38/41.00	  ( skv_47 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) (ho_3 (ho_2 k_12 c) c) (ho_3 (ho_2 k_1 a) ii))) )) )
40.38/41.00	  ( skv_48 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) (ho_3 (ho_2 k_12 c) c) (ho_3 (ho_2 k_1 a) ii))) )) )
40.38/41.00	  ( skv_49 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) (ho_3 k_5 a) (ho_3 k_5 ii))) )) )
40.38/41.00	  ( skv_50 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) (ho_3 (ho_2 k_12 c) c) (ho_3 k_5 ii))) )) )
40.38/41.00	  ( skv_51 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) (ho_3 (ho_2 k_12 c) c) (ho_3 k_5 ii))) )) )
40.38/41.00	  ( skv_52 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) (ho_3 k_5 a) (ho_3 (ho_2 k_13 a) ii))) )) )
40.38/41.00	  ( skv_53 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) (ho_3 k_5 a) (ho_3 (ho_2 k_13 a) ii))) )) )
40.38/41.00	  ( skv_54 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= b ii) (ho_3 (ho_2 k_12 c) c) (ho_3 (ho_2 k_13 a) ii))) )) )
40.38/41.00	  ( skv_55 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= c ii) (ho_3 (ho_2 k_12 c) c) (ho_3 (ho_2 k_13 a) ii))) )) )
40.38/41.00	  ( skv_56 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((z $$unsorted)) (= (ho_3 (ho_2 k_1 a) z) (ho_3 k_5 z)) )
40.38/41.00	  ( skv_57 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((z $$unsorted)) (= (ho_3 k_5 z) (ho_3 (ho_2 k_13 a) z)) )
40.38/41.00	  ( skv_58 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((z $$unsorted)) (= (ho_2 k_13 z) (ho_2 k_1 z)) )
40.38/41.00	  ( skv_59 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((z $$unsorted)) (= (ho_3 (ho_2 k_1 a) z) (ho_3 (ho_2 k_13 a) z)) )
40.38/41.00	  ( skv_60 )
40.38/41.00	)
40.38/41.00	(skolem (forall ((z $$unsorted)) (= (ho_4 (ho_3 k_5 a) z) (ho_4 (ho_3 (ho_2 k_12 c) c) z)) )
40.38/41.00	  ( skv_61 )
40.38/41.00	)
40.38/41.00	(instantiation (forall ((Xx $$unsorted)) (ho_4 (ho_3 k_5 d) Xx) )
40.38/41.00	  ( c )
40.38/41.00	)
40.38/41.00	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (ho_4 (ho_3 (ho_2 k_1 Xx) Xy) Xz)) (not (ho_4 (ho_3 k_5 (ho_7 k_6 Xy)) Xv)) (ho_4 (ho_3 (ho_2 k_8 Xu) Xv) Xw) (not (ho_4 (ho_3 k_5 (ho_7 k_6 Xz)) Xw)) (not (ho_4 (ho_3 k_5 (ho_7 k_6 Xx)) Xu))) )
40.38/41.00	  ( c, c, c, c, c, c )
40.38/41.00	  ( c, c, b, c, c, c )
40.38/41.00	  ( c, c, b, c, c, b )
40.38/41.00	  ( c, c, b, b, c, c )
40.38/41.00	  ( c, c, b, b, c, b )
40.38/41.00	  ( c, c, b, b, b, c )
40.38/41.00	  ( c, c, b, b, b, b )
40.38/41.00	  ( c, c, a, c, c, a )
40.38/41.00	  ( c, b, c, c, c, c )
40.38/41.00	  ( c, b, c, c, c, b )
40.38/41.00	  ( c, b, c, b, c, c )
40.38/41.00	  ( c, b, c, b, c, b )
40.38/41.00	  ( c, b, c, b, b, c )
40.38/41.00	  ( c, b, c, b, b, b )
40.38/41.00	  ( c, b, b, c, c, c )
40.38/41.00	  ( c, b, b, c, c, b )
40.38/41.00	  ( c, b, b, b, c, c )
40.38/41.00	  ( c, b, b, b, c, b )
40.38/41.00	  ( c, b, b, b, b, c )
40.38/41.00	  ( c, b, b, b, b, b )
40.38/41.00	  ( c, b, a, c, c, a )
40.38/41.00	  ( b, c, c, c, c, c )
40.38/41.00	  ( b, c, c, c, c, b )
40.38/41.00	  ( b, c, c, b, c, c )
40.38/41.00	  ( b, c, c, b, c, b )
40.38/41.00	  ( b, c, c, b, b, c )
40.38/41.00	  ( b, c, c, b, b, b )
40.38/41.00	  ( b, c, b, c, c, c )
40.38/41.00	  ( b, c, b, c, c, b )
40.38/41.00	  ( b, c, b, b, c, c )
40.38/41.00	  ( b, c, b, b, c, b )
40.38/41.00	  ( b, c, b, b, b, c )
40.38/41.00	  ( b, c, b, b, b, b )
40.38/41.00	  ( b, c, a, c, c, a )
40.38/41.00	  ( b, b, c, c, c, c )
40.38/41.00	  ( b, b, c, c, c, b )
40.38/41.00	  ( b, b, c, b, c, c )
40.38/41.00	  ( b, b, c, b, c, b )
40.38/41.00	  ( b, b, c, b, b, c )
40.38/41.00	  ( b, b, c, b, b, b )
40.38/41.00	  ( b, b, b, c, c, c )
40.38/41.00	  ( b, b, b, c, c, b )
40.38/41.00	  ( b, b, b, b, c, c )
40.38/41.00	  ( b, b, b, b, c, b )
40.38/41.00	  ( b, b, b, b, b, c )
40.38/41.00	  ( b, b, b, b, b, b )
40.38/41.00	  ( b, b, a, c, c, a )
40.38/41.00	  ( a, c, c, a, c, c )
40.38/41.00	  ( a, c, c, a, a, c )
40.38/41.00	  ( a, b, c, c, b, c )
40.38/41.00	  ( a, b, c, b, b, c )
40.38/41.00	  ( a, b, c, a, b, c )
40.38/41.00	  ( a, b, c, a, a, c )
40.38/41.00	  ( a, b, b, a, c, b )
40.38/41.00	  ( a, a, c, a, a, c )
40.38/41.00	  ( a, a, b, a, a, c )
40.38/41.00	)
40.38/41.00	(instantiation (forall ((Xx $$unsorted)) (ho_4 (ho_3 k_9 d) Xx) )
40.38/41.00	  ( c )
40.38/41.00	)
40.38/41.00	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (ho_4 (ho_3 k_9 (ho_7 k_6 Xx)) Xy) (not (ho_4 (ho_3 k_9 Xx) Xy))) )
40.38/41.00	  ( c, c )
40.38/41.00	  ( b, c )
40.38/41.00	  ( b, b )
40.38/41.00	  ( a, c )
40.38/41.00	  ( a, a )
40.38/41.00	)
40.38/41.00	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (ho_4 (ho_3 k_10 (ho_7 k_6 Xx)) Xy) (not (ho_4 (ho_3 k_10 Xx) Xy))) )
40.38/41.00	  ( c, c )
40.38/41.00	  ( b, c )
40.38/41.00	  ( b, b )
40.38/41.00	  ( b, a )
40.38/41.00	  ( a, b )
40.38/41.00	  ( a, a )
40.38/41.00	)
40.38/41.00	(instantiation (forall ((Xx $$unsorted)) (ho_4 (ho_3 k_11 d) Xx) )
40.38/41.00	  ( c )
40.38/41.00	)
40.38/41.00	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (ho_4 (ho_3 k_11 (ho_7 k_6 Xx)) Xu)) (ho_4 (ho_3 (ho_2 k_13 Xu) Xv) Xw) (not (ho_4 (ho_3 k_11 (ho_7 k_6 Xz)) Xw)) (not (ho_4 (ho_3 k_11 (ho_7 k_6 Xy)) Xv)) (not (ho_4 (ho_3 (ho_2 k_12 Xx) Xy) Xz))) )
40.38/41.00	  ( c, c, c, c, c, c )
40.38/41.00	  ( c, c, b, c, c, c )
40.38/41.00	  ( c, c, b, c, c, b )
40.38/41.00	  ( c, c, b, c, b, c )
40.38/41.00	  ( c, c, b, c, b, b )
40.38/41.00	  ( c, c, b, b, c, c )
40.38/41.00	  ( c, c, b, b, c, b )
40.38/41.00	  ( c, c, b, b, b, c )
40.38/41.00	  ( c, c, b, b, b, b )
40.38/41.00	  ( c, c, a, c, c, a )
40.38/41.00	  ( c, b, c, c, c, c )
40.38/41.00	  ( c, b, c, c, c, b )
40.38/41.00	  ( c, b, c, c, b, c )
40.38/41.00	  ( c, b, c, c, b, b )
40.38/41.00	  ( c, b, c, b, c, c )
40.38/41.00	  ( c, b, c, b, c, b )
40.38/41.00	  ( c, b, c, b, b, c )
40.38/41.00	  ( c, b, c, b, b, b )
40.38/41.00	  ( c, b, b, c, c, c )
40.38/41.00	  ( c, b, b, c, c, b )
40.38/41.00	  ( c, b, b, c, b, c )
40.38/41.00	  ( c, b, b, c, b, b )
40.38/41.00	  ( c, b, b, b, c, c )
40.38/41.00	  ( c, b, b, b, c, b )
40.38/41.00	  ( c, b, b, b, b, c )
40.38/41.00	  ( c, b, b, b, b, b )
40.38/41.00	  ( c, b, a, c, c, a )
40.38/41.00	  ( c, b, a, c, c, skv_61 )
40.38/41.00	  ( b, c, c, c, c, c )
40.38/41.00	  ( b, c, c, c, c, b )
40.38/41.00	  ( b, c, c, c, b, c )
40.38/41.00	  ( b, c, c, c, b, b )
40.38/41.00	  ( b, c, c, b, c, c )
40.38/41.00	  ( b, c, c, b, c, b )
40.38/41.00	  ( b, c, c, b, b, c )
40.38/41.00	  ( b, c, c, b, b, b )
40.38/41.00	  ( b, c, b, c, c, c )
40.38/41.00	  ( b, c, b, c, c, b )
40.38/41.00	  ( b, c, b, c, b, c )
40.38/41.00	  ( b, c, b, c, b, b )
40.38/41.00	  ( b, c, b, b, c, c )
40.38/41.00	  ( b, c, b, b, c, b )
40.38/41.00	  ( b, c, b, b, b, c )
40.38/41.00	  ( b, c, b, b, b, b )
40.38/41.00	  ( b, b, c, c, c, c )
40.38/41.00	  ( b, b, c, c, c, b )
40.38/41.00	  ( b, b, c, c, b, c )
40.38/41.00	  ( b, b, c, c, b, b )
40.38/41.00	  ( b, b, c, b, c, c )
40.38/41.00	  ( b, b, c, b, c, b )
40.38/41.00	  ( b, b, c, b, b, c )
40.38/41.00	  ( b, b, c, b, b, b )
40.38/41.00	  ( b, b, b, c, c, c )
40.38/41.00	  ( b, b, b, c, c, b )
40.38/41.00	  ( b, b, b, c, b, c )
40.38/41.00	  ( b, b, b, c, b, b )
40.38/41.00	  ( b, b, b, b, c, c )
40.38/41.00	  ( b, b, b, b, c, b )
40.38/41.00	  ( b, b, b, b, b, c )
40.38/41.00	  ( b, b, b, b, b, b )
40.38/41.00	  ( b, b, a, c, c, a )
40.38/41.00	  ( b, b, a, c, c, skv_61 )
40.38/41.00	  ( a, c, c, a, c, c )
40.38/41.00	  ( a, c, c, a, b, c )
40.38/41.00	  ( a, c, b, a, c, c )
40.38/41.00	  ( a, c, b, a, b, c )
40.38/41.00	  ( a, c, a, a, c, skv_61 )
40.38/41.00	  ( a, b, c, a, b, c )
40.38/41.00	  ( a, b, a, a, c, a )
40.38/41.00	  ( a, b, a, a, c, skv_61 )
40.38/41.00	)
40.38/41.00	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted)) (not (ho_4 (ho_3 (ho_2 k_13 Xx) Xy) Xz)) )
40.38/41.00	  ( c, c, c )
40.38/41.00	  ( c, c, b )
40.38/41.00	  ( c, c, a )
40.38/41.00	  ( c, c, skv_61 )
40.38/41.00	  ( c, b, c )
40.38/41.00	  ( c, b, b )
40.38/41.00	  ( c, a, c )
40.38/41.00	  ( b, c, c )
40.38/41.00	  ( b, c, b )
40.38/41.00	  ( b, b, c )
40.38/41.00	  ( b, b, b )
40.38/41.00	  ( a, c, a )
40.38/41.00	  ( a, b, c )
40.38/41.00	)
40.38/41.00	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (ho_4 (ho_3 k_11 Xx) Xy)) (ho_4 (ho_3 k_11 (ho_7 k_6 Xx)) Xy)) )
40.38/41.00	  ( c, c )
40.38/41.00	  ( b, c )
40.38/41.00	  ( b, b )
40.38/41.00	  ( a, a )
40.38/41.00	)
40.38/41.00	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (ho_4 (ho_3 (ho_2 k_14 Xx) Xy) Xz)) (not (ho_4 (ho_3 k_10 (ho_7 k_6 Xx)) Xu)) (not (ho_4 (ho_3 k_10 (ho_7 k_6 Xy)) Xv)) (ho_4 (ho_3 (ho_2 k_12 Xu) Xv) Xw) (not (ho_4 (ho_3 k_10 (ho_7 k_6 Xz)) Xw))) )
40.38/41.00	  ( c, c, c, c, c, c )
40.38/41.00	  ( c, c, b, c, c, c )
40.38/41.00	  ( c, c, b, c, c, b )
40.38/41.00	  ( c, c, b, b, c, c )
40.38/41.00	  ( c, c, b, b, c, b )
40.38/41.00	  ( c, c, b, b, b, c )
40.38/41.00	  ( c, c, b, b, b, b )
40.38/41.00	  ( c, c, a, c, c, a )
40.38/41.00	  ( c, c, a, c, c, skv_61 )
40.38/41.00	  ( c, b, c, c, c, c )
40.38/41.00	  ( c, b, c, c, c, b )
40.38/41.00	  ( c, b, c, c, b, c )
40.38/41.00	  ( c, b, c, b, c, c )
40.38/41.00	  ( c, b, c, b, c, b )
40.38/41.00	  ( c, b, c, b, b, c )
40.38/41.00	  ( c, b, c, b, b, b )
40.38/41.00	  ( c, b, b, c, c, c )
40.38/41.00	  ( c, b, b, c, c, b )
40.38/41.00	  ( c, b, b, b, c, c )
40.38/41.00	  ( c, b, b, b, c, b )
40.38/41.00	  ( c, b, b, b, b, c )
40.38/41.00	  ( c, b, b, b, b, b )
40.38/41.00	  ( b, c, c, c, c, c )
40.38/41.00	  ( b, c, c, c, c, b )
40.38/41.00	  ( b, c, c, b, c, c )
40.38/41.00	  ( b, c, c, b, c, b )
40.38/41.00	  ( b, c, c, b, b, c )
40.38/41.00	  ( b, c, c, b, b, b )
40.38/41.00	  ( b, c, b, c, c, c )
40.38/41.00	  ( b, c, b, c, c, b )
40.38/41.00	  ( b, c, b, b, c, c )
40.38/41.00	  ( b, c, b, b, c, b )
40.38/41.00	  ( b, c, b, b, b, c )
40.38/41.00	  ( b, c, b, b, b, b )
40.38/41.00	  ( b, b, c, c, c, c )
40.38/41.00	  ( b, b, c, c, c, b )
40.38/41.00	  ( b, b, c, b, c, c )
40.38/41.00	  ( b, b, c, b, c, b )
40.38/41.00	  ( b, b, c, b, b, c )
40.38/41.00	  ( b, b, c, b, b, b )
40.38/41.00	  ( b, b, b, c, c, c )
40.38/41.00	  ( b, b, b, c, c, b )
40.38/41.00	  ( b, b, b, b, c, c )
40.38/41.00	  ( b, b, b, b, c, b )
40.38/41.00	  ( b, b, b, b, b, c )
40.38/41.00	  ( b, b, b, b, b, b )
40.38/41.00	  ( a, c, c, a, c, c )
40.38/41.00	  ( a, c, c, a, c, b )
40.38/41.00	  ( a, b, c, a, b, c )
40.38/41.00	)
40.38/41.00	(instantiation (forall ((Xx $$unsorted)) (ho_4 (ho_3 k_10 d) Xx) )
40.38/41.00	  ( c )
40.38/41.00	  ( b )
40.38/41.00	)
40.38/41.00	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted) (Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (or (not (ho_4 (ho_3 k_9 (ho_7 k_6 Xy)) Xv)) (not (ho_4 (ho_3 k_9 (ho_7 k_6 Xz)) Xw)) (ho_4 (ho_3 (ho_2 k_14 Xu) Xv) Xw) (not (ho_4 (ho_3 k_9 (ho_7 k_6 Xx)) Xu)) (not (ho_4 (ho_3 (ho_2 k_8 Xx) Xy) Xz))) )
40.38/41.01	  ( c, c, c, c, c, c )
40.38/41.01	  ( c, c, b, c, c, c )
40.38/41.01	  ( c, c, b, c, c, b )
40.38/41.01	  ( c, c, b, b, c, c )
40.38/41.01	  ( c, c, b, b, c, b )
40.38/41.01	  ( c, c, b, b, b, c )
40.38/41.01	  ( c, c, b, b, b, b )
40.38/41.01	  ( c, c, a, c, c, a )
40.38/41.01	  ( c, b, c, c, c, c )
40.38/41.01	  ( c, b, c, c, c, b )
40.38/41.01	  ( c, b, c, c, b, c )
40.38/41.01	  ( c, b, c, b, c, c )
40.38/41.01	  ( c, b, c, b, c, b )
40.38/41.01	  ( c, b, c, b, b, c )
40.38/41.01	  ( c, b, c, b, b, b )
40.38/41.01	  ( c, b, b, c, c, c )
40.38/41.01	  ( c, b, b, c, c, b )
40.38/41.01	  ( c, b, b, b, c, c )
40.38/41.01	  ( c, b, b, b, c, b )
40.38/41.01	  ( c, b, b, b, b, c )
40.38/41.01	  ( c, b, b, b, b, b )
40.38/41.01	  ( c, b, a, c, c, a )
40.38/41.01	  ( b, c, c, c, c, c )
40.38/41.01	  ( b, c, c, c, c, b )
40.38/41.01	  ( b, c, c, b, c, c )
40.38/41.01	  ( b, c, c, b, c, b )
40.38/41.01	  ( b, c, c, b, b, c )
40.38/41.01	  ( b, c, c, b, b, b )
40.38/41.01	  ( b, c, b, c, c, c )
40.38/41.01	  ( b, c, b, c, c, b )
40.38/41.01	  ( b, c, b, b, c, c )
40.38/41.01	  ( b, c, b, b, c, b )
40.38/41.01	  ( b, c, b, b, b, c )
40.38/41.01	  ( b, c, b, b, b, b )
40.38/41.01	  ( b, c, a, c, c, a )
40.38/41.01	  ( b, b, c, c, c, c )
40.38/41.01	  ( b, b, c, c, c, b )
40.38/41.01	  ( b, b, c, b, c, c )
40.38/41.01	  ( b, b, c, b, c, b )
40.38/41.01	  ( b, b, c, b, b, c )
40.38/41.01	  ( b, b, c, b, b, b )
40.38/41.01	  ( b, b, b, c, c, c )
40.38/41.01	  ( b, b, b, c, c, b )
40.38/41.01	  ( b, b, b, b, c, c )
40.38/41.01	  ( b, b, b, b, c, b )
40.38/41.01	  ( b, b, b, b, b, c )
40.38/41.01	  ( b, b, b, b, b, b )
40.38/41.01	  ( b, b, a, c, c, a )
40.38/41.01	  ( a, c, c, a, c, c )
40.38/41.01	  ( a, c, b, a, c, b )
40.38/41.01	  ( a, c, a, b, c, b )
40.38/41.01	  ( a, c, a, b, c, a )
40.38/41.01	  ( a, b, c, b, b, c )
40.38/41.01	  ( a, b, c, a, b, c )
40.38/41.01	  ( a, b, c, a, a, c )
40.38/41.01	  ( a, b, b, b, b, b )
40.38/41.01	  ( a, a, c, b, b, c )
40.38/41.01	  ( a, a, c, a, a, c )
40.38/41.01	)
40.38/41.01	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (ho_4 (ho_3 k_5 Xx) Xy)) (ho_4 (ho_3 k_5 (ho_7 k_6 Xx)) Xy)) )
40.38/41.01	  ( c, c )
40.38/41.01	  ( c, b )
40.38/41.01	  ( b, c )
40.38/41.01	  ( b, b )
40.38/41.01	  ( a, c )
40.38/41.01	  ( a, a )
40.38/41.01	)
40.38/41.01	(instantiation (forall ((x |u_(-> $$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)) )
40.38/41.01	  ( k_1, k_13 )
40.38/41.01	  ( k_13, k_1 )
40.38/41.01	)
40.38/41.01	(instantiation (forall ((x |u_(-> $$unsorted $$unsorted)|) (y |u_(-> $$unsorted $$unsorted)|)) (or (not (forall ((z $$unsorted)) (= (ho_7 x z) (ho_7 y z)) )) (= x y)) )
40.38/41.01	  ( |e_|u_(-> $$unsorted $$unsorted)|_16|, |e_|u_(-> $$unsorted $$unsorted)|_16| )
40.38/41.01	)
40.38/41.01	(instantiation (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_4 x z) (ho_4 y z)) )) (= x y)) )
40.38/41.01	  ( (ho_3 k_5 a), (ho_3 (ho_2 k_12 c) c) )
40.38/41.01	  ( (ho_3 (ho_2 k_12 c) c), (ho_3 k_5 a) )
40.38/41.01	)
40.38/41.01	(instantiation (forall ((x |u_(-> $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_3 x z) (ho_3 y z)) )) (= x y)) )
40.38/41.01	  ( (ho_2 k_1 a), k_5 )
40.38/41.01	  ( (ho_2 k_1 a), (ho_2 k_13 a) )
40.38/41.01	  ( k_5, (ho_2 k_1 a) )
40.38/41.01	  ( k_5, (ho_2 k_13 a) )
40.38/41.01	  ( (ho_2 k_13 a), (ho_2 k_1 a) )
40.38/41.01	  ( (ho_2 k_13 a), k_5 )
40.38/41.01	)
40.38/41.01	(instantiation (forall ((u |u_(-> $$unsorted $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_2 v ii) (ite (= i ii) e (ho_2 u ii))) )) )) )
40.38/41.01	  ( k_1, (ho_2 k_1 a), c )
40.38/41.01	  ( k_1, (ho_2 k_1 a), b )
40.38/41.01	  ( k_1, k_5, c )
40.38/41.01	  ( k_1, k_5, b )
40.38/41.01	  ( k_1, (ho_2 k_13 a), c )
40.38/41.01	  ( k_1, (ho_2 k_13 a), b )
40.38/41.01	  ( k_13, (ho_2 k_1 a), c )
40.38/41.01	  ( k_13, (ho_2 k_1 a), b )
40.38/41.01	  ( k_13, k_5, c )
40.38/41.01	  ( k_13, k_5, b )
40.38/41.01	  ( k_13, (ho_2 k_13 a), c )
40.38/41.01	  ( k_13, (ho_2 k_13 a), b )
40.38/41.01	)
40.38/41.01	(instantiation (forall ((u |u_(-> $$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))) )) )) )
40.38/41.01	  ( k_6, c, c )
40.38/41.01	  ( k_6, c, b )
40.38/41.01	  ( k_6, b, c )
40.38/41.01	  ( k_6, b, b )
40.38/41.01	  ( |e_|u_(-> $$unsorted $$unsorted)|_16|, c, c )
40.38/41.01	)
40.38/41.01	(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))) )) )) )
40.38/41.01	  ( (ho_3 k_5 a), true, c )
40.38/41.01	  ( (ho_3 k_5 a), true, b )
40.38/41.01	  ( (ho_3 k_5 a), false, c )
40.38/41.01	  ( (ho_3 k_5 a), false, b )
40.38/41.01	  ( (ho_3 (ho_2 k_12 c) c), true, c )
40.38/41.01	  ( (ho_3 (ho_2 k_12 c) c), true, b )
40.38/41.01	  ( (ho_3 (ho_2 k_12 c) c), false, c )
40.38/41.01	  ( (ho_3 (ho_2 k_12 c) c), false, b )
40.38/41.01	)
40.38/41.01	(instantiation (forall ((u |u_(-> $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii))) )) )) )
40.38/41.01	  ( (ho_2 k_1 a), (ho_3 k_5 a), c )
40.38/41.01	  ( (ho_2 k_1 a), (ho_3 k_5 a), b )
40.38/41.01	  ( (ho_2 k_1 a), (ho_3 (ho_2 k_12 c) c), c )
40.38/41.01	  ( (ho_2 k_1 a), (ho_3 (ho_2 k_12 c) c), b )
40.38/41.01	  ( k_5, (ho_3 k_5 a), c )
40.38/41.01	  ( k_5, (ho_3 k_5 a), b )
40.38/41.01	  ( k_5, (ho_3 (ho_2 k_12 c) c), c )
40.38/41.01	  ( k_5, (ho_3 (ho_2 k_12 c) c), b )
40.38/41.01	  ( (ho_2 k_13 a), (ho_3 k_5 a), c )
40.38/41.01	  ( (ho_2 k_13 a), (ho_3 k_5 a), b )
40.38/41.01	  ( (ho_2 k_13 a), (ho_3 (ho_2 k_12 c) c), c )
40.38/41.01	  ( (ho_2 k_13 a), (ho_3 (ho_2 k_12 c) c), b )
40.38/41.01	)
40.38/41.01	(instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) k_5 (ho_2 k_1 ii)) (ho_2 skv_17 ii)) )
40.38/41.01	  ( c )
40.38/41.01	  ( b )
40.38/41.01	)
40.38/41.01	(instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) c (ho_7 |e_|u_(-> $$unsorted $$unsorted)|_16| ii)) (ho_7 skv_18 ii)) )
40.38/41.01	  ( c )
40.38/41.01	  ( b )
40.38/41.01	)
40.38/41.01	(instantiation (forall ((ii $$unsorted)) (= (ho_4 skv_19 ii) (ite (= c ii) false (ho_4 (ho_3 k_5 a) ii))) )
40.38/41.01	  ( c )
40.38/41.01	  ( b )
40.38/41.01	  ( a )
40.38/41.01	)
40.38/41.01	(instantiation (forall ((ii $$unsorted)) (= (ho_4 skv_20 ii) (ite (= c ii) true (ho_4 (ho_3 k_5 a) ii))) )
40.38/41.01	  ( c )
40.38/41.01	  ( b )
40.38/41.01	)
40.38/41.01	(instantiation (forall ((ii $$unsorted)) (= (ite (= c ii) (ho_3 k_5 a) (ho_3 k_5 ii)) (ho_3 skv_21 ii)) )
40.38/41.01	  ( c )
40.38/41.01	  ( b )
40.38/41.01	)
40.38/41.01	% SZS output end Proof for theBenchmark
40.38/41.01	EOF