0.06/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.10	% Command    : do_CVC4 %s %d
0.09/0.30	% Computer   : n013.cluster.edu
0.09/0.30	% Model      : x86_64 x86_64
0.09/0.30	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.30	% Memory     : 8042.1875MB
0.09/0.30	% OS         : Linux 3.10.0-693.el7.x86_64
0.09/0.30	% CPULimit   : 960
0.09/0.30	% WCLimit    : 120
0.09/0.30	% DateTime   : Thu Jul  2 06:46:33 EDT 2020
0.09/0.30	% CPUTime    : 
0.15/0.41	%----Proving TH0
0.15/0.41	------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960...
0.15/0.41	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
20.21/20.46	--- Run --uf-ho --ho-elim --full-saturate-quant at 20...
21.31/21.54	% SZS status Theorem for theBenchmark
21.31/21.55	% SZS output start Proof for theBenchmark
21.31/21.55	(skolem (forall ((v |u_(-> frac frac frac)|)) (not (forall ((ii frac)) (= (ho_6 v ii) (ite (= u ii) (ho_6 k_5 y) (ho_6 k_5 ii))) )) )
21.31/21.55	  ( skv_9 )
21.31/21.55	)
21.31/21.55	(skolem (forall ((v |u_(-> frac frac)|)) (not (forall ((ii frac)) (= (ho_7 v ii) (ite (= u ii) u (ho_7 (ho_6 k_5 y) ii))) )) )
21.31/21.55	  ( skv_10 )
21.31/21.55	)
21.31/21.55	(skolem (forall ((v |u_(-> frac Bool)|)) (not (forall ((ii frac)) (= (ho_3 v ii) (ite (= u ii) false (ho_3 (ho_2 k_1 z) ii))) )) )
21.31/21.55	  ( skv_11 )
21.31/21.55	)
21.31/21.55	(skolem (forall ((v |u_(-> frac frac Bool)|)) (not (forall ((ii frac)) (= (ho_2 v ii) (ite (= u ii) (ho_2 k_1 z) (ho_2 k_1 ii))) )) )
21.31/21.55	  ( skv_12 )
21.31/21.55	)
21.31/21.55	(skolem (forall ((z frac)) (= (ho_7 (ho_6 k_5 y) z) (ho_7 (ho_6 k_5 x) z)) )
21.31/21.55	  ( skv_13 )
21.31/21.55	)
21.31/21.55	(skolem (forall ((z frac)) (= (ho_3 (ho_2 k_1 z) z) (ho_3 (ho_2 k_1 (ho_7 (ho_6 k_5 x) z)) z)) )
21.31/21.55	  ( skv_14 )
21.31/21.55	)
21.31/21.55	(skolem (forall ((z frac)) (= (ho_2 k_1 z) (ho_2 k_4 z)) )
21.31/21.55	  ( skv_15 )
21.31/21.55	)
21.31/21.55	(instantiation (forall ((Xx frac) (Xy frac)) (or (not (ho_3 (ho_2 k_1 Xx) Xy)) (ho_3 (ho_2 k_4 Xy) Xx)) )
21.31/21.55	  ( x, y )
21.31/21.55	  ( x, z )
21.31/21.55	  ( x, u )
21.31/21.55	  ( x, (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( x, (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( x, (ho_7 (ho_6 k_5 x) y) )
21.31/21.55	  ( x, (ho_7 (ho_6 k_5 y) x) )
21.31/21.55	  ( x, skv_14 )
21.31/21.55	  ( y, x )
21.31/21.55	  ( y, u )
21.31/21.55	  ( y, (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( y, (ho_7 (ho_6 k_5 y) x) )
21.31/21.55	  ( y, skv_14 )
21.31/21.55	  ( z, x )
21.31/21.55	  ( z, y )
21.31/21.55	  ( z, u )
21.31/21.55	  ( z, (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( z, (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( z, (ho_7 (ho_6 k_5 x) y) )
21.31/21.55	  ( u, y )
21.31/21.55	  ( u, z )
21.31/21.55	  ( u, skv_14 )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), z )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), skv_13 )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) skv_13) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), skv_14 )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), z )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 u) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 x) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), skv_13 )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), skv_14 )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 skv_13) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), y )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), z )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 skv_13) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 u) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) skv_13) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) x), u )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) u), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) y), x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) y), y )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) y), z )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 y) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) y), skv_14 )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) x), (ho_7 (ho_6 k_5 y) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) x), x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) x), y )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) x), z )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) x), u )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) x), skv_14 )
21.31/21.55	  ( skv_13, (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) skv_13), u )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( skv_14, x )
21.31/21.55	  ( skv_14, y )
21.31/21.55	  ( skv_14, z )
21.31/21.55	  ( skv_14, u )
21.31/21.55	  ( skv_14, (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( skv_14, (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	)
21.31/21.55	(instantiation (forall ((Xx frac) (Xy frac) (Xz frac)) (or (not (ho_3 (ho_2 k_1 Xx) Xy)) (ho_3 (ho_2 k_1 (ho_7 (ho_6 k_5 Xx) Xz)) (ho_7 (ho_6 k_5 Xy) Xz))) )
21.31/21.55	  ( x, x, z )
21.31/21.55	  ( x, y, x )
21.31/21.55	  ( x, y, u )
21.31/21.55	  ( x, u, y )
21.31/21.55	  ( x, skv_13, x )
21.31/21.55	  ( y, y, u )
21.31/21.55	  ( y, z, x )
21.31/21.55	  ( y, skv_13, x )
21.31/21.55	  ( z, z, x )
21.31/21.55	  ( z, u, x )
21.31/21.55	  ( z, skv_13, x )
21.31/21.55	  ( u, u, y )
21.31/21.55	  ( u, skv_13, x )
21.31/21.55	  ( skv_13, x, x )
21.31/21.55	  ( skv_13, u, y )
21.31/21.55	  ( skv_13, skv_13, x )
21.31/21.55	)
21.31/21.55	(instantiation (forall ((Xx frac) (Xy frac)) (ho_3 (ho_2 k_8 (ho_7 (ho_6 k_5 Xx) Xy)) (ho_7 (ho_6 k_5 Xy) Xx)) )
21.31/21.55	  ( x, x )
21.31/21.55	  ( x, y )
21.31/21.55	  ( x, z )
21.31/21.55	  ( x, u )
21.31/21.55	  ( x, skv_13 )
21.31/21.55	  ( y, x )
21.31/21.55	  ( y, u )
21.31/21.55	  ( y, skv_13 )
21.31/21.55	  ( z, x )
21.31/21.55	  ( u, x )
21.31/21.55	  ( u, y )
21.31/21.55	  ( skv_13, x )
21.31/21.55	  ( skv_13, y )
21.31/21.55	)
21.31/21.55	(instantiation (forall ((Xx frac) (Xy frac) (Xz frac) (Xu frac)) (or (not (ho_3 (ho_2 k_1 Xx) Xy)) (not (ho_3 (ho_2 k_8 Xx) Xz)) (not (ho_3 (ho_2 k_8 Xy) Xu)) (ho_3 (ho_2 k_1 Xz) Xu)) )
21.31/21.55	  ( x, y, x, x )
21.31/21.55	  ( x, y, (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( x, y, (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( x, y, (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( x, y, (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( x, (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( x, (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( x, (ho_7 (ho_6 k_5 z) x), z, z )
21.31/21.55	  ( y, (ho_7 (ho_6 k_5 x) z), x, (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( y, (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( y, (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) x) )
21.31/21.55	  ( z, u, x, x )
21.31/21.55	  ( z, u, (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( z, u, (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( z, (ho_7 (ho_6 k_5 u) y), z, x )
21.31/21.55	  ( z, (ho_7 (ho_6 k_5 z) x), z, z )
21.31/21.55	  ( z, (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( z, (ho_7 (ho_6 k_5 y) x), x, z )
21.31/21.55	  ( z, (ho_7 (ho_6 k_5 y) x), y, (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( z, (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), y, (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) u), z, z )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 u) y), x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 u) y), y )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) x), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) x), x, x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) x), y, y )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) x), z, z )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 u) y), y )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) skv_13), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) skv_13), y, x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 skv_13) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), x, (ho_7 (ho_6 k_5 z) x), z )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), y, (ho_7 (ho_6 k_5 z) x), x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 x) y), x, (ho_7 (ho_6 k_5 y) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 x) y), y, y )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 x) y), z, x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 z) x), y )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 y) skv_13), (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), skv_14, (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), skv_14, (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), skv_14, (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), skv_14, (ho_7 (ho_6 k_5 z) x), x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), skv_14, (ho_7 (ho_6 k_5 z) x), y )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), skv_14, (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), skv_14, (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), skv_14, (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), x, y, y )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), y, x, x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 u) x), y, x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 y) u), x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 x) x), x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) y), z, z )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) z), y )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) x), y )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) x), z )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) x), (ho_7 (ho_6 k_5 u) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) x), (ho_7 (ho_6 k_5 skv_13) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) z), y )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 u) y), z )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) x), x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) x), y )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) x), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) x), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) x), (ho_7 (ho_6 k_5 x) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 y) skv_13), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 skv_13) x), x, z )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) skv_13) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 x) x), (ho_7 (ho_6 k_5 x) skv_13) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), x, (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 x) z), y )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 x) z), u )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 x) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 x) x), x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 x) x), y )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 u) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) x), x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) x), z )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) x), u )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) x), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) x), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) x), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) x), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) x), (ho_7 (ho_6 k_5 x) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) z), y )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 x) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) x), x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) x), y )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) x), z )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) x), u )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) x), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) x), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) x), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) x), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) x), (ho_7 (ho_6 k_5 x) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) x), (ho_7 (ho_6 k_5 x) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) skv_13), (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 skv_13) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 skv_13) y), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) x), x, y, y )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 u) y), z, x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) u), x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) u), x, z, z )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) u), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) u), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) u), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 u) x), x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) u), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 u) x), u )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) u), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) u), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) u), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) y), y, (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) z), x, (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) u), (ho_7 (ho_6 k_5 y) x), z )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) x), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) x), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) skv_13), y, (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) skv_13), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) skv_13), (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) skv_13), u, (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) skv_13), u, (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 u) y), z )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 skv_13) x), u )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 x) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 z) x), z, skv_14 )
21.31/21.55	  ( (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( skv_14, y, x, x )
21.31/21.55	  ( skv_14, (ho_7 (ho_6 k_5 u) y), y, y )
21.31/21.55	  ( (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 x) z), y )
21.31/21.55	  ( (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 u) y), x, x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) skv_13), u )
21.31/21.55	  ( (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 x) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) skv_13), u )
21.31/21.55	  ( (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 skv_13) y), (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 skv_13) y), (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	)
21.31/21.55	(instantiation (forall ((Xx frac) (Xy frac) (Xz frac)) (let ((_let_0 (ho_2 k_4 Xx))) (or (not (ho_3 _let_0 Xy)) (not (ho_3 (ho_2 k_4 Xy) Xz)) (ho_3 _let_0 Xz))) )
21.31/21.55	  ( x, z, x )
21.31/21.55	  ( x, u, z )
21.31/21.55	  ( x, (ho_7 (ho_6 k_5 y) u), x )
21.31/21.55	  ( x, (ho_7 (ho_6 k_5 x) z), x )
21.31/21.55	  ( x, (ho_7 (ho_6 k_5 z) x), x )
21.31/21.55	  ( x, (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( x, (ho_7 (ho_6 k_5 y) x), x )
21.31/21.55	  ( x, (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( x, skv_14, x )
21.31/21.55	  ( y, x, y )
21.31/21.55	  ( y, u, z )
21.31/21.55	  ( y, (ho_7 (ho_6 k_5 u) y), y )
21.31/21.55	  ( y, (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( y, (ho_7 (ho_6 k_5 y) x), z )
21.31/21.55	  ( y, skv_14, (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( z, y, x )
21.31/21.55	  ( z, y, z )
21.31/21.55	  ( z, (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) x) )
21.31/21.55	  ( z, (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( z, (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) x) )
21.31/21.55	  ( z, skv_14, (ho_7 (ho_6 k_5 x) y) )
21.31/21.55	  ( u, y, x )
21.31/21.55	  ( u, z, u )
21.31/21.55	  ( u, z, (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( u, z, (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( u, z, (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( u, z, (ho_7 (ho_6 k_5 u) x) )
21.31/21.55	  ( u, (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( u, (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) x) )
21.31/21.55	  ( u, (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( u, skv_14, (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( u, (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 u) y) )
21.31/21.55	  ( u, (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), y, x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), z, x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 y) u) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) z) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) x), x )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) x), z )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 z) x) )
21.31/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) x) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 y) u), skv_13, (ho_7 (ho_6 k_5 x) z) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 y) u) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 z) x) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 y) u), skv_14, (ho_7 (ho_6 k_5 x) z) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 x) z) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 z) x) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) z), x, (ho_7 (ho_6 k_5 x) z) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 x) z) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 y) x), z )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) z), skv_14, (ho_7 (ho_6 k_5 x) z) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 x) z) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 u) y), x, (ho_7 (ho_6 k_5 y) skv_13) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 u) y), y, (ho_7 (ho_6 k_5 u) y) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 u) y), z, (ho_7 (ho_6 k_5 x) z) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 y) u) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 z) x) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 z) x) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 u) y), skv_13, (ho_7 (ho_6 k_5 u) y) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 u) y), skv_14, (ho_7 (ho_6 k_5 y) u) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 z) x) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 y) u) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 z) x) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) x) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 z) x), skv_14, (ho_7 (ho_6 k_5 x) z) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) z) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) y), y, x )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) y), u, z )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) y), skv_14, (ho_7 (ho_6 k_5 y) u) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 y) x), y, x )
21.34/21.55	  ( (ho_7 (ho_6 k_5 y) x), u, x )
21.34/21.55	  ( (ho_7 (ho_6 k_5 y) x), u, z )
21.34/21.55	  ( (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 x) y), x )
21.34/21.55	  ( skv_13, u, skv_13 )
21.34/21.55	  ( skv_13, (ho_7 (ho_6 k_5 y) u), skv_13 )
21.34/21.55	  ( skv_13, (ho_7 (ho_6 k_5 x) y), y )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 y) u) )
21.34/21.55	  ( skv_14, y, x )
21.34/21.55	  ( skv_14, u, x )
21.34/21.55	  ( skv_14, (ho_7 (ho_6 k_5 x) z), z )
21.34/21.55	  ( skv_14, (ho_7 (ho_6 k_5 u) y), x )
21.34/21.55	  ( skv_14, (ho_7 (ho_6 k_5 x) y), z )
21.34/21.55	  ( skv_14, (ho_7 (ho_6 k_5 y) x), z )
21.34/21.55	  ( (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) z) )
21.34/21.55	)
21.34/21.55	(instantiation (forall ((Xx frac) (Xy frac)) (or (not (ho_3 (ho_2 k_4 Xx) Xy)) (ho_3 (ho_2 k_1 Xy) Xx)) )
21.34/21.55	  ( x, x )
21.34/21.55	  ( x, z )
21.34/21.55	  ( x, (ho_7 (ho_6 k_5 u) y) )
21.34/21.55	  ( x, (ho_7 (ho_6 k_5 z) x) )
21.34/21.55	  ( x, (ho_7 (ho_6 k_5 u) x) )
21.34/21.55	  ( x, (ho_7 (ho_6 k_5 x) u) )
21.34/21.55	  ( y, y )
21.34/21.55	  ( y, z )
21.34/21.55	  ( y, (ho_7 (ho_6 k_5 y) u) )
21.34/21.55	  ( y, (ho_7 (ho_6 k_5 x) z) )
21.34/21.55	  ( y, (ho_7 (ho_6 k_5 u) y) )
21.34/21.55	  ( z, x )
21.34/21.55	  ( z, z )
21.34/21.55	  ( u, u )
21.34/21.55	  ( u, (ho_7 (ho_6 k_5 x) y) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 y) u), x )
21.34/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 y) u) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 x) z) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 u) y) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 z) x) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 y) u), (ho_7 (ho_6 k_5 skv_13) y) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) z), y )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 y) u) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 x) z) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 u) y) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 z) x) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 x) y) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 x) skv_13) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) z), (ho_7 (ho_6 k_5 skv_13) x) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 u) y), x )
21.34/21.55	  ( (ho_7 (ho_6 k_5 u) y), z )
21.34/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 y) u) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) z) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 u) y) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 z) x) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 x) y) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 u) y), (ho_7 (ho_6 k_5 y) skv_13) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 z) x), x )
21.34/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) u) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) z) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 u) y) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 z) x) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) y) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) x) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 y) skv_13) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 x) skv_13) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 z) x), (ho_7 (ho_6 k_5 skv_13) x) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 x) z) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 u) x), (ho_7 (ho_6 k_5 u) y) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) u), (ho_7 (ho_6 k_5 x) y) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) y), x )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) y), z )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 y) u) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 x) z) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) y), (ho_7 (ho_6 k_5 u) y) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 y) x), x )
21.34/21.55	  ( (ho_7 (ho_6 k_5 y) x), z )
21.34/21.55	  ( (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 y) u) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 u) y) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 y) x), (ho_7 (ho_6 k_5 z) x) )
21.34/21.55	  ( skv_13, x )
21.34/21.55	  ( skv_13, y )
21.34/21.55	  ( skv_13, z )
21.34/21.55	  ( skv_13, (ho_7 (ho_6 k_5 x) z) )
21.34/21.55	  ( skv_13, (ho_7 (ho_6 k_5 z) x) )
21.34/21.55	  ( skv_13, skv_13 )
21.34/21.55	  ( (ho_7 (ho_6 k_5 y) skv_13), (ho_7 (ho_6 k_5 y) u) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 x) skv_13), (ho_7 (ho_6 k_5 u) y) )
21.34/21.55	  ( skv_14, x )
21.34/21.55	  ( skv_14, z )
21.34/21.55	  ( skv_14, (ho_7 (ho_6 k_5 y) u) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 x) z) )
21.34/21.55	  ( (ho_7 (ho_6 k_5 skv_13) x), (ho_7 (ho_6 k_5 u) y) )
21.34/21.55	)
21.34/21.55	(instantiation (forall ((x |u_(-> frac frac)|) (y |u_(-> frac frac)|)) (or (not (forall ((z frac)) (= (ho_7 x z) (ho_7 y z)) )) (= x y)) )
21.34/21.55	  ( (ho_6 k_5 y), (ho_6 k_5 x) )
21.34/21.55	)
21.34/21.55	(instantiation (forall ((x |u_(-> frac Bool)|) (y |u_(-> frac Bool)|)) (or (not (forall ((z frac)) (= (ho_3 x z) (ho_3 y z)) )) (= x y)) )
21.34/21.55	  ( (ho_2 k_1 z), (ho_2 k_1 (ho_7 (ho_6 k_5 x) z)) )
21.34/21.55	)
21.34/21.55	(instantiation (forall ((x |u_(-> frac frac Bool)|) (y |u_(-> frac frac Bool)|)) (or (not (forall ((z frac)) (= (ho_2 x z) (ho_2 y z)) )) (= x y)) )
21.34/21.55	  ( k_1, k_4 )
21.34/21.55	)
21.34/21.55	(instantiation (forall ((u |u_(-> frac frac frac)|) (e |u_(-> frac frac)|) (i frac)) (not (forall ((v |u_(-> frac frac frac)|)) (not (forall ((ii frac)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii))) )) )) )
21.34/21.55	  ( k_5, (ho_6 k_5 y), u )
21.34/21.55	)
21.34/21.55	(instantiation (forall ((u |u_(-> frac frac)|) (e frac) (i frac)) (not (forall ((v |u_(-> frac frac)|)) (not (forall ((ii frac)) (= (ho_7 v ii) (ite (= i ii) e (ho_7 u ii))) )) )) )
21.34/21.55	  ( (ho_6 k_5 y), u, u )
21.34/21.55	)
21.34/21.55	(instantiation (forall ((u |u_(-> frac Bool)|) (e Bool) (i frac)) (not (forall ((v |u_(-> frac Bool)|)) (not (forall ((ii frac)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii))) )) )) )
21.34/21.55	  ( (ho_2 k_1 z), false, u )
21.34/21.55	)
21.34/21.55	(instantiation (forall ((u |u_(-> frac frac Bool)|) (e |u_(-> frac Bool)|) (i frac)) (not (forall ((v |u_(-> frac frac Bool)|)) (not (forall ((ii frac)) (= (ho_2 v ii) (ite (= i ii) e (ho_2 u ii))) )) )) )
21.34/21.55	  ( k_1, (ho_2 k_1 z), u )
21.34/21.55	)
21.34/21.56	(instantiation (forall ((ii frac)) (= (ite (= u ii) (ho_6 k_5 y) (ho_6 k_5 ii)) (ho_6 skv_9 ii)) )
21.34/21.56	  ( x )
21.34/21.56	  ( y )
21.34/21.56	  ( z )
21.34/21.56	  ( u )
21.34/21.56	  ( skv_13 )
21.34/21.56	)
21.34/21.56	(instantiation (forall ((ii frac)) (= (ite (= u ii) u (ho_7 (ho_6 k_5 y) ii)) (ho_7 skv_10 ii)) )
21.34/21.56	  ( x )
21.34/21.56	  ( u )
21.34/21.56	  ( skv_13 )
21.34/21.56	)
21.34/21.56	(instantiation (forall ((ii frac)) (= (ho_3 skv_11 ii) (ite (= u ii) false (ho_3 (ho_2 k_1 z) ii))) )
21.34/21.56	  ( x )
21.34/21.56	  ( y )
21.34/21.56	  ( z )
21.34/21.56	  ( u )
21.34/21.56	  ( (ho_7 (ho_6 k_5 y) u) )
21.34/21.56	  ( (ho_7 (ho_6 k_5 x) z) )
21.34/21.56	  ( (ho_7 (ho_6 k_5 u) y) )
21.34/21.56	  ( (ho_7 (ho_6 k_5 x) y) )
21.34/21.56	  ( (ho_7 (ho_6 k_5 y) x) )
21.34/21.56	  ( skv_13 )
21.34/21.56	  ( skv_14 )
21.34/21.56	)
21.34/21.56	(instantiation (forall ((ii frac)) (= (ite (= u ii) (ho_2 k_1 z) (ho_2 k_1 ii)) (ho_2 skv_12 ii)) )
21.34/21.56	  ( x )
21.34/21.56	  ( y )
21.34/21.56	  ( z )
21.34/21.56	  ( u )
21.34/21.56	  ( (ho_7 (ho_6 k_5 y) u) )
21.34/21.56	  ( (ho_7 (ho_6 k_5 x) z) )
21.34/21.56	  ( (ho_7 (ho_6 k_5 u) y) )
21.34/21.56	  ( (ho_7 (ho_6 k_5 z) x) )
21.34/21.56	  ( (ho_7 (ho_6 k_5 u) x) )
21.34/21.56	  ( (ho_7 (ho_6 k_5 x) u) )
21.34/21.56	  ( (ho_7 (ho_6 k_5 x) y) )
21.34/21.56	  ( (ho_7 (ho_6 k_5 x) x) )
21.34/21.56	  ( (ho_7 (ho_6 k_5 y) x) )
21.34/21.56	  ( skv_13 )
21.34/21.56	  ( (ho_7 (ho_6 k_5 y) skv_13) )
21.34/21.56	  ( (ho_7 (ho_6 k_5 x) skv_13) )
21.34/21.56	  ( skv_14 )
21.34/21.56	  ( skv_15 )
21.34/21.56	  ( (ho_7 (ho_6 k_5 skv_13) x) )
21.34/21.56	  ( (ho_7 (ho_6 k_5 skv_13) y) )
21.34/21.56	)
21.34/21.56	% SZS output end Proof for theBenchmark
21.34/21.56	EOF