0.06/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.13	% Command    : do_CVC4 %s
0.12/0.33	% Computer   : n008.cluster.edu
0.12/0.33	% Model      : x86_64 x86_64
0.12/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory     : 8042.1875MB
0.12/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 180
0.12/0.33	% DateTime   : Thu Aug 29 09:56:39 EDT 2019
0.12/0.34	% CPUTime    : 
0.19/0.45	%----Proving TH0_NAR
0.19/0.46	------- cvc4-thf casc 27 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 180...
0.19/0.46	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
20.24/20.48	--- Run --uf-ho --ho-elim --full-saturate-quant at 20...
20.32/20.80	% SZS status Theorem for theBenchmark
20.32/20.80	% SZS output start Proof for theBenchmark
20.32/20.80	(skolem (forall ((v |u_(-> frac frac frac)|)) (not (forall ((ii frac)) (= (ho_5 v ii) (ite (= u ii) (ho_5 k_4 y) (ho_5 k_4 ii))) )) )
20.32/20.80	  ( skv_9 )
20.32/20.80	)
20.32/20.80	(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))) )) )
20.32/20.80	  ( skv_10 )
20.32/20.80	)
20.32/20.80	(skolem (forall ((v |u_(-> frac frac)|)) (not (forall ((ii frac)) (= (ho_6 v ii) (ite (= u ii) u (ho_6 (ho_5 k_4 y) ii))) )) )
20.32/20.80	  ( skv_11 )
20.32/20.80	)
20.32/20.80	(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))) )) )
20.32/20.80	  ( skv_12 )
20.32/20.80	)
20.32/20.80	(skolem (forall ((z frac)) (= (ho_3 (ho_2 k_1 z) z) (ho_3 (ho_2 k_1 (ho_6 (ho_5 k_4 x) z)) z)) )
20.32/20.80	  ( skv_13 )
20.32/20.80	)
20.32/20.80	(skolem (forall ((z frac)) (= (ho_6 (ho_5 k_4 y) z) (ho_6 (ho_5 k_4 x) z)) )
20.32/20.80	  ( skv_14 )
20.32/20.80	)
20.32/20.80	(skolem (forall ((z frac)) (= (ho_2 k_1 z) (ho_2 k_7 z)) )
20.32/20.80	  ( skv_15 )
20.32/20.80	)
20.32/20.80	(instantiation (forall ((Xx frac) (Xy frac)) (or (not (ho_3 (ho_2 k_7 Xx) Xy)) (ho_3 (ho_2 k_1 Xy) Xx)) )
20.32/20.80	  ( x, x )
20.32/20.80	  ( x, z )
20.32/20.80	  ( x, (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( x, (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( x, (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( x, (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( x, skv_14 )
20.32/20.80	  ( y, y )
20.32/20.80	  ( y, z )
20.32/20.80	  ( y, (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( y, (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( y, (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( z, x )
20.32/20.80	  ( z, y )
20.32/20.80	  ( z, z )
20.32/20.80	  ( z, skv_14 )
20.32/20.80	  ( u, u )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), x )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), y )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) skv_14) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), x )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 y) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x), x )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 x) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 y) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) x), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) x), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) u), (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) y), x )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) y), z )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 y) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) x), skv_13 )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) x), x )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) x), z )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 x) skv_14) )
20.32/20.80	  ( skv_13, z )
20.32/20.80	  ( skv_13, (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( skv_13, (ho_6 (ho_5 k_4 x) x) )
20.32/20.80	  ( skv_14, x )
20.32/20.80	  ( skv_14, z )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14), x )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14), y )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), x )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), y )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), z )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 x) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 x) skv_14) )
20.32/20.80	)
20.32/20.80	(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)) )
20.32/20.80	  ( x, y, x, x )
20.32/20.80	  ( x, y, z, x )
20.32/20.80	  ( x, y, (ho_6 (ho_5 k_4 y) u), x )
20.32/20.80	  ( x, y, (ho_6 (ho_5 k_4 x) z), x )
20.32/20.80	  ( x, (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( x, (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( y, (ho_6 (ho_5 k_4 y) u), x, (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( y, (ho_6 (ho_5 k_4 x) z), x, (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( y, (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 y) x) )
20.32/20.80	  ( y, (ho_6 (ho_5 k_4 x) skv_14), y, (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	  ( y, (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 x) skv_14) )
20.32/20.80	  ( z, u, x, (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( z, u, z, (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( z, u, (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( z, (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 y) u), z )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), y, (ho_6 (ho_5 k_4 u) y), x )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 u) x), (ho_6 (ho_5 k_4 x) z), u )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 u) x), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 u) x), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 u) x), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 u) x), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) skv_14) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 u) x), (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 x) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 u) x), (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 x) skv_14) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 y) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 y) x), x, (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 y) x), z, (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 x) x), skv_13 )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 x) skv_14) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), y, (ho_6 (ho_5 k_4 z) x), x )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 x) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), y, y, y )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 x) y), x, (ho_6 (ho_5 k_4 y) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 y) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 y) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 x) skv_14), y, (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 u) x), y, (ho_6 (ho_5 k_4 x) skv_14) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) x), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) u), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) u), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) u), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) u), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 u) x), u )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) u), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 u) x), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) y), y, x, x )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 x) skv_14) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 x) x), u )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 x) x), skv_13 )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 x) skv_14) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 z) x), skv_13, (ho_6 (ho_5 k_4 x) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) skv_14), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 skv_14) x), u )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 x) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 y) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) y), (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	)
20.32/20.80	(instantiation (forall ((Xx frac) (Xy frac) (Xz frac)) (let ((_let_0 (ho_2 k_7 Xx))) (or (not (ho_3 _let_0 Xy)) (not (ho_3 (ho_2 k_7 Xy) Xz)) (ho_3 _let_0 Xz))) )
20.32/20.80	  ( x, z, x )
20.32/20.80	  ( x, (ho_6 (ho_5 k_4 y) u), x )
20.32/20.80	  ( x, (ho_6 (ho_5 k_4 z) x), x )
20.32/20.80	  ( x, skv_13, (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( x, (ho_6 (ho_5 k_4 x) skv_14), x )
20.32/20.80	  ( x, (ho_6 (ho_5 k_4 skv_14) x), x )
20.32/20.80	  ( y, x, y )
20.32/20.80	  ( y, x, (ho_6 (ho_5 k_4 y) x) )
20.32/20.80	  ( y, (ho_6 (ho_5 k_4 y) u), z )
20.32/20.80	  ( y, (ho_6 (ho_5 k_4 x) z), y )
20.32/20.80	  ( y, (ho_6 (ho_5 k_4 x) y), y )
20.32/20.80	  ( y, (ho_6 (ho_5 k_4 y) x), y )
20.32/20.80	  ( y, skv_13, y )
20.32/20.80	  ( y, (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 y) x) )
20.32/20.80	  ( z, (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 y) x) )
20.32/20.80	  ( z, (ho_6 (ho_5 k_4 x) y), z )
20.32/20.80	  ( z, (ho_6 (ho_5 k_4 y) x), x )
20.32/20.80	  ( z, (ho_6 (ho_5 k_4 x) skv_14), x )
20.32/20.80	  ( z, (ho_6 (ho_5 k_4 skv_14) x), z )
20.32/20.80	  ( u, y, x )
20.32/20.80	  ( u, z, u )
20.32/20.80	  ( u, skv_13, (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), z, (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), z, (ho_6 (ho_5 k_4 x) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), z, skv_13 )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), z, (ho_6 (ho_5 k_4 x) skv_14) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), u, z )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 u) x), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 u) x), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 u) x), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 y) x), x )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 x) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), skv_14, (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), x, (ho_6 (ho_5 k_4 y) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), y, (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 u) x), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 x) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), skv_13, (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), y, x )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), z, x )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 u) x), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 u) x), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 u) x), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), skv_13, (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x), x, (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) y), y, (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 y) u), z )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) x), y, x )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) x), u, x )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) x), skv_13, x )
20.32/20.80	  ( skv_13, y, (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( skv_13, u, z )
20.32/20.80	  ( skv_13, (ho_6 (ho_5 k_4 x) z), z )
20.32/20.80	  ( skv_13, (ho_6 (ho_5 k_4 y) x), z )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14), x, (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), x, (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	)
20.32/20.80	(instantiation (forall ((Xx frac) (Xy frac)) (or (not (ho_3 (ho_2 k_1 Xx) Xy)) (ho_3 (ho_2 k_7 Xy) Xx)) )
20.32/20.80	  ( x, y )
20.32/20.80	  ( x, z )
20.32/20.80	  ( x, (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( x, (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( x, (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( x, (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( x, (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( x, (ho_6 (ho_5 k_4 y) x) )
20.32/20.80	  ( x, (ho_6 (ho_5 k_4 x) skv_14) )
20.32/20.80	  ( x, (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	  ( y, x )
20.32/20.80	  ( y, (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( y, (ho_6 (ho_5 k_4 y) x) )
20.32/20.80	  ( y, skv_13 )
20.32/20.80	  ( y, (ho_6 (ho_5 k_4 x) skv_14) )
20.32/20.80	  ( y, (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	  ( z, x )
20.32/20.80	  ( z, y )
20.32/20.80	  ( z, u )
20.32/20.80	  ( z, (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( z, (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( z, (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( z, (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( z, (ho_6 (ho_5 k_4 y) x) )
20.32/20.80	  ( z, (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	  ( u, z )
20.32/20.80	  ( u, skv_13 )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), x )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 u) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 x) skv_14) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u), (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), x )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), z )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 u) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 y) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), skv_13 )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 x) skv_14) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z), (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), x )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), y )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), z )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 u) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 y) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), skv_13 )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 x) skv_14) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y), (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x), x )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 u) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x), (ho_6 (ho_5 k_4 y) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) x), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) x), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) u), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) y), z )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) y), (ho_6 (ho_5 k_4 x) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 y) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) x), skv_13 )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) x), (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) x), x )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) x), y )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) x), z )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) x), (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) x), skv_13 )
20.32/20.80	  ( skv_13, x )
20.32/20.80	  ( skv_13, y )
20.32/20.80	  ( skv_13, z )
20.32/20.80	  ( skv_13, (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( skv_13, (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( skv_13, (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( skv_13, (ho_6 (ho_5 k_4 x) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14), x )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 y) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14), (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), x )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), z )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), u )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 x) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x), (ho_6 (ho_5 k_4 x) skv_14) )
20.32/20.80	)
20.32/20.80	(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_6 (ho_5 k_4 Xx) Xz)) (ho_6 (ho_5 k_4 Xy) Xz))) )
20.32/20.80	  ( x, x, z )
20.32/20.80	  ( x, y, x )
20.32/20.80	  ( x, y, u )
20.32/20.80	  ( x, skv_14, x )
20.32/20.80	  ( y, y, u )
20.32/20.80	  ( y, z, x )
20.32/20.80	  ( z, y, x )
20.32/20.80	  ( z, z, x )
20.32/20.80	  ( z, u, x )
20.32/20.80	  ( z, skv_14, x )
20.32/20.80	  ( u, u, y )
20.32/20.80	  ( skv_14, x, x )
20.32/20.80	  ( skv_14, z, x )
20.32/20.80	)
20.32/20.80	(instantiation (forall ((Xx frac) (Xy frac)) (ho_3 (ho_2 k_8 (ho_6 (ho_5 k_4 Xx) Xy)) (ho_6 (ho_5 k_4 Xy) Xx)) )
20.32/20.80	  ( x, x )
20.32/20.80	  ( x, y )
20.32/20.80	  ( x, z )
20.32/20.80	  ( x, u )
20.32/20.80	  ( x, skv_14 )
20.32/20.80	  ( y, x )
20.32/20.80	  ( y, u )
20.32/20.80	  ( y, skv_14 )
20.32/20.80	  ( z, x )
20.32/20.80	  ( u, x )
20.32/20.80	  ( u, y )
20.32/20.80	  ( skv_14, x )
20.32/20.80	  ( skv_14, y )
20.32/20.80	)
20.32/20.80	(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)) )
20.32/20.80	  ( (ho_2 k_1 z), (ho_2 k_1 (ho_6 (ho_5 k_4 x) z)) )
20.32/20.80	)
20.32/20.80	(instantiation (forall ((x |u_(-> frac frac)|) (y |u_(-> frac frac)|)) (or (not (forall ((z frac)) (= (ho_6 x z) (ho_6 y z)) )) (= x y)) )
20.32/20.80	  ( (ho_5 k_4 y), (ho_5 k_4 x) )
20.32/20.80	)
20.32/20.80	(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)) )
20.32/20.80	  ( k_1, k_7 )
20.32/20.80	)
20.32/20.80	(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_5 v ii) (ite (= i ii) e (ho_5 u ii))) )) )) )
20.32/20.80	  ( k_4, (ho_5 k_4 y), u )
20.32/20.80	)
20.32/20.80	(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))) )) )) )
20.32/20.80	  ( (ho_2 k_1 z), false, u )
20.32/20.80	)
20.32/20.80	(instantiation (forall ((u |u_(-> frac frac)|) (e frac) (i frac)) (not (forall ((v |u_(-> frac frac)|)) (not (forall ((ii frac)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii))) )) )) )
20.32/20.80	  ( (ho_5 k_4 y), u, u )
20.32/20.80	)
20.32/20.80	(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))) )) )) )
20.32/20.80	  ( k_1, (ho_2 k_1 z), u )
20.32/20.80	)
20.32/20.80	(instantiation (forall ((ii frac)) (= (ite (= u ii) (ho_5 k_4 y) (ho_5 k_4 ii)) (ho_5 skv_9 ii)) )
20.32/20.80	  ( x )
20.32/20.80	  ( y )
20.32/20.80	  ( z )
20.32/20.80	  ( u )
20.32/20.80	  ( skv_14 )
20.32/20.80	)
20.32/20.80	(instantiation (forall ((ii frac)) (= (ho_3 skv_10 ii) (ite (= u ii) false (ho_3 (ho_2 k_1 z) ii))) )
20.32/20.80	  ( x )
20.32/20.80	  ( y )
20.32/20.80	  ( z )
20.32/20.80	  ( u )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( skv_13 )
20.32/20.80	  ( skv_14 )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	)
20.32/20.80	(instantiation (forall ((ii frac)) (= (ite (= u ii) u (ho_6 (ho_5 k_4 y) ii)) (ho_6 skv_11 ii)) )
20.32/20.80	  ( x )
20.32/20.80	  ( u )
20.32/20.80	  ( skv_14 )
20.32/20.80	)
20.32/20.80	(instantiation (forall ((ii frac)) (= (ite (= u ii) (ho_2 k_1 z) (ho_2 k_1 ii)) (ho_2 skv_12 ii)) )
20.32/20.80	  ( x )
20.32/20.80	  ( y )
20.32/20.80	  ( z )
20.32/20.80	  ( u )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) z) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 z) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 u) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) u) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) y) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) x) )
20.32/20.80	  ( (ho_6 (ho_5 k_4 y) x) )
20.32/20.80	  ( skv_13 )
20.32/20.80	  ( skv_14 )
20.32/20.80	  ( (ho_6 (ho_5 k_4 x) skv_14) )
20.32/20.80	  ( skv_15 )
20.32/20.80	  ( (ho_6 (ho_5 k_4 skv_14) x) )
20.32/20.80	)
20.32/20.80	% SZS output end Proof for theBenchmark
20.32/20.80	EOF