0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.13	% Command    : do_CVC4 %s %d
0.12/0.34	% Computer   : n014.cluster.edu
0.12/0.34	% Model      : x86_64 x86_64
0.12/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory     : 8042.1875MB
0.12/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit   : 960
0.12/0.34	% WCLimit    : 120
0.12/0.34	% DateTime   : Thu Jul  2 07:20:25 EDT 2020
0.12/0.34	% CPUTime    : 
0.19/0.47	%----Proving TH0
0.19/0.47	------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960...
0.19/0.47	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
0.19/0.54	% SZS status Theorem for theBenchmark
0.19/0.54	% SZS output start Proof for theBenchmark
0.19/0.54	(skolem (forall ((Xx a)) (= (not (forall ((BOUND_VARIABLE_443 |u_(-> a Bool)|)) (or (not (forall ((Xx0 a)) (or (not (ho_3 BOUND_VARIABLE_443 Xx0)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_443) Xx0)) )) (not (ho_3 BOUND_VARIABLE_443 Xx))) )) (ho_3 (ho_5 k_4 k_2) Xx)) )
0.19/0.54	  ( skv_6 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx0 a)) (let ((_let_0 (ho_5 k_4 k_2))) (or (not (ho_3 _let_0 Xx0)) (ho_3 (ho_5 k_4 _let_0) Xx0))) )
0.19/0.54	  ( skv_7 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx a)) (or (not (ho_3 k_2 Xx)) (ho_3 (ho_5 k_4 k_2) Xx)) )
0.19/0.54	  ( skv_8 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((BOUND_VARIABLE_481 |u_(-> a Bool)|)) (or (not (forall ((Xx1 a)) (or (not (ho_3 BOUND_VARIABLE_481 Xx1)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_481) Xx1)) )) (not (ho_3 BOUND_VARIABLE_481 skv_8))) )
0.19/0.54	  ( skv_9 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx0 a)) (let ((_let_0 (ho_5 k_4 k_2))) (let ((_let_1 (ho_5 k_4 _let_0))) (or (not (ho_3 _let_1 Xx0)) (ho_3 (ho_5 k_4 _let_1) Xx0)))) )
0.19/0.54	  ( skv_10 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx a)) (or (not (ho_3 k_2 Xx)) (ho_3 (ho_5 k_4 (ho_5 k_4 k_2)) Xx)) )
0.19/0.54	  ( skv_11 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx a)) (let ((_let_0 (ho_5 k_4 k_2))) (or (not (ho_3 (ho_5 k_4 _let_0) Xx)) (ho_3 _let_0 Xx))) )
0.19/0.54	  ( skv_12 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((BOUND_VARIABLE_481 |u_(-> a Bool)|)) (or (not (forall ((Xx1 a)) (or (not (ho_3 BOUND_VARIABLE_481 Xx1)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_481) Xx1)) )) (not (ho_3 BOUND_VARIABLE_481 skv_11))) )
0.19/0.54	  ( skv_13 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx a)) (or (not (ho_3 (ho_5 k_4 k_2) Xx)) (ho_3 k_2 Xx)) )
0.19/0.54	  ( skv_14 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx a)) (or (not (ho_3 skv_9 Xx)) (ho_3 (ho_5 k_4 k_2) Xx)) )
0.19/0.54	  ( skv_15 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx a)) (or (not (ho_3 (ho_5 k_4 (ho_5 k_4 k_2)) Xx)) (ho_3 k_2 Xx)) )
0.19/0.54	  ( skv_16 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx0 a)) (let ((_let_0 (ho_5 k_4 k_2))) (let ((_let_1 (ho_5 k_4 _let_0))) (let ((_let_2 (ho_5 k_4 _let_1))) (or (not (ho_3 _let_2 Xx0)) (ho_3 (ho_5 k_4 _let_2) Xx0))))) )
0.19/0.54	  ( skv_17 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx a)) (or (not (ho_3 skv_9 Xx)) (ho_3 k_2 Xx)) )
0.19/0.54	  ( skv_18 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx a)) (or (not (ho_3 skv_13 Xx)) (ho_3 (ho_5 k_4 k_2) Xx)) )
0.19/0.54	  ( skv_19 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx a)) (or (not (ho_3 k_2 Xx)) (ho_3 skv_9 Xx)) )
0.19/0.54	  ( skv_20 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx a)) (or (not (ho_3 (ho_5 k_4 (ho_5 k_4 k_2)) Xx)) (ho_3 skv_9 Xx)) )
0.19/0.54	  ( skv_21 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx0 a)) (let ((_let_0 (ho_5 k_4 skv_9))) (or (not (ho_3 _let_0 Xx0)) (ho_3 (ho_5 k_4 _let_0) Xx0))) )
0.19/0.54	  ( skv_22 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((BOUND_VARIABLE_481 |u_(-> a Bool)|)) (or (not (forall ((Xx1 a)) (or (not (ho_3 BOUND_VARIABLE_481 Xx1)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_481) Xx1)) )) (not (ho_3 BOUND_VARIABLE_481 skv_20))) )
0.19/0.54	  ( skv_23 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx a)) (or (not (ho_3 skv_9 Xx)) (ho_3 (ho_5 k_4 (ho_5 k_4 k_2)) Xx)) )
0.19/0.54	  ( skv_24 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((BOUND_VARIABLE_443 |u_(-> a Bool)|)) (or (not (forall ((Xx0 a)) (or (not (ho_3 BOUND_VARIABLE_443 Xx0)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_443) Xx0)) )) (not (ho_3 BOUND_VARIABLE_443 skv_6))) )
0.19/0.54	  ( skv_25 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx a)) (or (not (ho_3 skv_13 Xx)) (ho_3 k_2 Xx)) )
0.19/0.54	  ( skv_26 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx1 a)) (or (not (ho_3 skv_9 Xx1)) (ho_3 (ho_5 k_4 skv_9) Xx1)) )
0.19/0.54	  ( skv_27 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx a)) (or (not (ho_3 (ho_5 k_4 skv_9) Xx)) (ho_3 skv_9 Xx)) )
0.19/0.54	  ( skv_28 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx1 a)) (or (not (ho_3 skv_13 Xx1)) (ho_3 (ho_5 k_4 skv_13) Xx1)) )
0.19/0.54	  ( skv_29 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx a)) (let ((_let_0 (ho_5 k_4 k_2))) (let ((_let_1 (ho_5 k_4 _let_0))) (or (not (ho_3 (ho_5 k_4 _let_1) Xx)) (ho_3 _let_1 Xx)))) )
0.19/0.54	  ( skv_30 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx a)) (or (not (ho_3 (ho_5 k_4 skv_9) Xx)) (ho_3 k_2 Xx)) )
0.19/0.54	  ( skv_31 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx a)) (or (not (ho_3 (ho_5 k_4 skv_9) Xx)) (ho_3 (ho_5 k_4 k_2) Xx)) )
0.19/0.54	  ( skv_32 )
0.19/0.54	)
0.19/0.54	(skolem (forall ((Xx1 a)) (let ((_let_0 (ho_5 k_4 skv_9))) (let ((_let_1 (ho_5 k_4 _let_0))) (or (not (ho_3 _let_1 Xx1)) (ho_3 (ho_5 k_4 _let_1) Xx1)))) )
0.19/0.54	  ( skv_33 )
0.19/0.54	)
0.19/0.54	(instantiation (forall ((BOUND_VARIABLE_464 |u_(-> a Bool)|) (BOUND_VARIABLE_460 |u_(-> a Bool)|) (BOUND_VARIABLE_373 a)) (or (not (forall ((Xx a)) (or (not (ho_3 BOUND_VARIABLE_464 Xx)) (ho_3 BOUND_VARIABLE_460 Xx)) )) (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_464) BOUND_VARIABLE_373)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_460) BOUND_VARIABLE_373)) )
0.19/0.55	  ( k_2, k_2, skv_8 )
0.19/0.55	  ( k_2, k_2, skv_10 )
0.19/0.55	  ( k_2, (ho_5 k_4 k_2), skv_6 )
0.19/0.55	  ( k_2, (ho_5 k_4 k_2), skv_7 )
0.19/0.55	  ( k_2, (ho_5 k_4 k_2), skv_12 )
0.19/0.55	  ( k_2, (ho_5 k_4 (ho_5 k_4 k_2)), skv_6 )
0.19/0.55	  ( k_2, (ho_5 k_4 (ho_5 k_4 k_2)), skv_7 )
0.19/0.55	  ( k_2, (ho_5 k_4 (ho_5 k_4 k_2)), skv_10 )
0.19/0.55	  ( k_2, skv_9, skv_6 )
0.19/0.55	  ( k_2, skv_9, skv_7 )
0.19/0.55	  ( (ho_5 k_4 k_2), k_2, skv_7 )
0.19/0.55	  ( (ho_5 k_4 k_2), k_2, skv_8 )
0.19/0.55	  ( (ho_5 k_4 k_2), k_2, skv_10 )
0.19/0.55	  ( (ho_5 k_4 k_2), k_2, skv_12 )
0.19/0.55	  ( (ho_5 k_4 k_2), (ho_5 k_4 k_2), skv_6 )
0.19/0.55	  ( (ho_5 k_4 k_2), (ho_5 k_4 k_2), skv_8 )
0.19/0.55	  ( (ho_5 k_4 k_2), (ho_5 k_4 k_2), skv_11 )
0.19/0.55	  ( (ho_5 k_4 k_2), (ho_5 k_4 (ho_5 k_4 k_2)), skv_10 )
0.19/0.55	  ( (ho_5 k_4 (ho_5 k_4 k_2)), k_2, skv_8 )
0.19/0.55	  ( (ho_5 k_4 (ho_5 k_4 k_2)), (ho_5 k_4 k_2), skv_6 )
0.19/0.55	  ( (ho_5 k_4 (ho_5 k_4 k_2)), (ho_5 k_4 k_2), skv_7 )
0.19/0.55	  ( (ho_5 k_4 (ho_5 k_4 k_2)), (ho_5 k_4 k_2), skv_10 )
0.19/0.55	  ( (ho_5 k_4 (ho_5 k_4 k_2)), (ho_5 k_4 k_2), skv_30 )
0.19/0.55	  ( (ho_5 k_4 (ho_5 k_4 k_2)), (ho_5 k_4 (ho_5 k_4 k_2)), skv_6 )
0.19/0.55	  ( (ho_5 k_4 (ho_5 k_4 k_2)), (ho_5 k_4 (ho_5 k_4 k_2)), skv_7 )
0.19/0.55	  ( (ho_5 k_4 (ho_5 k_4 k_2)), (ho_5 k_4 (ho_5 k_4 k_2)), skv_8 )
0.19/0.55	  ( (ho_5 k_4 (ho_5 k_4 k_2)), (ho_5 k_4 (ho_5 k_4 (ho_5 k_4 k_2))), skv_17 )
0.19/0.55	  ( (ho_5 k_4 (ho_5 k_4 k_2)), skv_9, skv_6 )
0.19/0.55	  ( (ho_5 k_4 (ho_5 k_4 (ho_5 k_4 k_2))), (ho_5 k_4 k_2), skv_10 )
0.19/0.55	  ( (ho_5 k_4 (ho_5 k_4 (ho_5 k_4 k_2))), (ho_5 k_4 (ho_5 k_4 k_2)), skv_17 )
0.19/0.55	  ( (ho_5 k_4 (ho_5 k_4 (ho_5 k_4 k_2))), (ho_5 k_4 (ho_5 k_4 (ho_5 k_4 k_2))), skv_17 )
0.19/0.55	  ( skv_9, k_2, skv_6 )
0.19/0.55	  ( skv_9, k_2, skv_8 )
0.19/0.55	  ( skv_9, k_2, skv_15 )
0.19/0.55	  ( skv_9, k_2, skv_32 )
0.19/0.55	  ( skv_9, (ho_5 k_4 k_2), skv_6 )
0.19/0.55	  ( skv_9, (ho_5 k_4 k_2), skv_7 )
0.19/0.55	  ( skv_9, (ho_5 k_4 k_2), skv_8 )
0.19/0.55	  ( skv_9, (ho_5 k_4 k_2), skv_24 )
0.19/0.55	  ( skv_9, (ho_5 k_4 (ho_5 k_4 k_2)), skv_7 )
0.19/0.55	  ( skv_9, (ho_5 k_4 (ho_5 k_4 k_2)), skv_8 )
0.19/0.55	  ( skv_9, skv_9, skv_7 )
0.19/0.55	  ( skv_9, skv_9, skv_22 )
0.19/0.55	  ( skv_9, (ho_5 k_4 skv_9), skv_22 )
0.19/0.55	  ( (ho_5 k_4 skv_9), k_2, skv_7 )
0.19/0.55	  ( (ho_5 k_4 skv_9), k_2, skv_8 )
0.19/0.55	  ( (ho_5 k_4 skv_9), k_2, skv_15 )
0.19/0.55	  ( (ho_5 k_4 skv_9), (ho_5 k_4 k_2), skv_6 )
0.19/0.55	  ( (ho_5 k_4 skv_9), (ho_5 k_4 k_2), skv_7 )
0.19/0.55	  ( (ho_5 k_4 skv_9), (ho_5 k_4 k_2), skv_24 )
0.19/0.55	  ( (ho_5 k_4 skv_9), skv_9, skv_8 )
0.19/0.55	  ( (ho_5 k_4 skv_9), skv_9, skv_15 )
0.19/0.55	  ( (ho_5 k_4 skv_9), skv_9, skv_18 )
0.19/0.55	  ( (ho_5 k_4 skv_9), skv_9, skv_22 )
0.19/0.55	  ( (ho_5 k_4 skv_9), (ho_5 k_4 skv_9), skv_18 )
0.19/0.55	  ( (ho_5 k_4 skv_9), (ho_5 k_4 skv_9), skv_22 )
0.19/0.55	  ( (ho_5 k_4 skv_9), (ho_5 k_4 (ho_5 k_4 skv_9)), skv_33 )
0.19/0.55	  ( skv_13, k_2, skv_19 )
0.19/0.55	  ( skv_13, k_2, skv_26 )
0.19/0.55	  ( skv_13, (ho_5 k_4 k_2), skv_11 )
0.19/0.55	  ( skv_13, skv_13, skv_11 )
0.19/0.55	  ( skv_13, skv_13, skv_19 )
0.19/0.55	  ( skv_25, k_2, skv_6 )
0.19/0.55	)
0.19/0.55	(instantiation (forall ((Xx0 a)) (= (ho_3 k_2 Xx0) (not (forall ((BOUND_VARIABLE_481 |u_(-> a Bool)|)) (or (not (forall ((Xx1 a)) (or (not (ho_3 BOUND_VARIABLE_481 Xx1)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_481) Xx1)) )) (not (ho_3 BOUND_VARIABLE_481 Xx0))) ))) )
0.19/0.55	  ( skv_6 )
0.19/0.55	  ( skv_7 )
0.19/0.55	  ( skv_8 )
0.19/0.55	  ( skv_10 )
0.19/0.55	  ( skv_11 )
0.19/0.55	  ( skv_12 )
0.19/0.55	  ( skv_14 )
0.19/0.55	  ( skv_15 )
0.19/0.55	  ( skv_16 )
0.19/0.55	  ( skv_18 )
0.19/0.55	  ( skv_19 )
0.19/0.55	  ( skv_20 )
0.19/0.55	  ( skv_21 )
0.19/0.55	  ( skv_26 )
0.19/0.55	  ( skv_31 )
0.19/0.55	)
0.19/0.55	(instantiation (forall ((BOUND_VARIABLE_443 |u_(-> a Bool)|)) (or (not (forall ((Xx0 a)) (or (not (ho_3 BOUND_VARIABLE_443 Xx0)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_443) Xx0)) )) (not (ho_3 BOUND_VARIABLE_443 skv_6))) )
0.19/0.55	  ( (ho_5 k_4 k_2) )
0.19/0.55	  ( (ho_5 k_4 (ho_5 k_4 k_2)) )
0.19/0.55	  ( (ho_5 k_4 (ho_5 k_4 (ho_5 k_4 k_2))) )
0.19/0.55	  ( (ho_5 k_4 skv_9) )
0.19/0.55	)
0.19/0.55	(instantiation (forall ((Xx0 a)) (let ((_let_0 (ho_5 k_4 k_2))) (or (not (ho_3 _let_0 Xx0)) (ho_3 (ho_5 k_4 _let_0) Xx0))) )
0.19/0.55	  ( skv_8 )
0.19/0.55	  ( skv_11 )
0.19/0.55	  ( skv_12 )
0.19/0.55	  ( skv_16 )
0.19/0.55	  ( skv_17 )
0.19/0.55	  ( skv_20 )
0.19/0.55	  ( skv_24 )
0.19/0.55	  ( skv_30 )
0.19/0.55	)
0.19/0.55	(instantiation (forall ((Xx a)) (or (not (ho_3 k_2 Xx)) (ho_3 (ho_5 k_4 k_2) Xx)) )
0.19/0.55	  ( skv_6 )
0.19/0.55	  ( skv_7 )
0.19/0.55	  ( skv_10 )
0.19/0.55	  ( skv_11 )
0.19/0.55	  ( skv_12 )
0.19/0.55	  ( skv_15 )
0.19/0.55	  ( skv_19 )
0.19/0.55	  ( skv_20 )
0.19/0.55	  ( skv_24 )
0.19/0.55	  ( skv_32 )
0.19/0.55	)
0.19/0.55	(instantiation (forall ((BOUND_VARIABLE_481 |u_(-> a Bool)|)) (or (not (forall ((Xx1 a)) (or (not (ho_3 BOUND_VARIABLE_481 Xx1)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_481) Xx1)) )) (not (ho_3 BOUND_VARIABLE_481 skv_8))) )
0.19/0.55	  ( (ho_5 k_4 k_2) )
0.19/0.55	  ( skv_9 )
0.19/0.55	  ( (ho_5 k_4 (ho_5 k_4 skv_9)) )
0.19/0.55	)
0.19/0.55	(instantiation (forall ((Xx0 a)) (let ((_let_0 (ho_5 k_4 k_2))) (let ((_let_1 (ho_5 k_4 _let_0))) (or (not (ho_3 _let_1 Xx0)) (ho_3 (ho_5 k_4 _let_1) Xx0)))) )
0.19/0.55	  ( skv_7 )
0.19/0.55	  ( skv_11 )
0.19/0.55	  ( skv_17 )
0.19/0.55	  ( skv_21 )
0.19/0.55	)
0.19/0.55	(instantiation (forall ((Xx1 a)) (or (not (ho_3 skv_9 Xx1)) (ho_3 (ho_5 k_4 skv_9) Xx1)) )
0.19/0.55	  ( skv_6 )
0.19/0.55	  ( skv_7 )
0.19/0.55	  ( skv_8 )
0.19/0.55	  ( skv_15 )
0.19/0.55	  ( skv_18 )
0.19/0.55	  ( skv_22 )
0.19/0.55	  ( skv_24 )
0.19/0.55	)
0.19/0.55	(instantiation (forall ((Xx a)) (or (not (ho_3 k_2 Xx)) (ho_3 (ho_5 k_4 (ho_5 k_4 k_2)) Xx)) )
0.19/0.55	  ( skv_17 )
0.19/0.55	  ( skv_20 )
0.19/0.55	  ( skv_24 )
0.19/0.55	  ( skv_30 )
0.19/0.55	)
0.19/0.55	(instantiation (forall ((Xx a)) (let ((_let_0 (ho_5 k_4 k_2))) (or (not (ho_3 (ho_5 k_4 _let_0) Xx)) (ho_3 _let_0 Xx))) )
0.19/0.55	  ( skv_7 )
0.19/0.55	  ( skv_11 )
0.19/0.55	  ( skv_14 )
0.19/0.55	  ( skv_15 )
0.19/0.55	  ( skv_19 )
0.19/0.55	  ( skv_21 )
0.19/0.55	  ( skv_32 )
0.19/0.55	)
0.19/0.55	(instantiation (forall ((Xx a)) (or (not (ho_3 (ho_5 k_4 k_2) Xx)) (ho_3 k_2 Xx)) )
0.19/0.55	  ( skv_8 )
0.19/0.55	  ( skv_12 )
0.19/0.55	  ( skv_16 )
0.19/0.55	  ( skv_18 )
0.19/0.55	  ( skv_26 )
0.19/0.55	  ( skv_31 )
0.19/0.55	)
0.19/0.55	(instantiation (forall ((BOUND_VARIABLE_481 |u_(-> a Bool)|)) (or (not (forall ((Xx1 a)) (or (not (ho_3 BOUND_VARIABLE_481 Xx1)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_481) Xx1)) )) (not (ho_3 BOUND_VARIABLE_481 skv_11))) )
0.19/0.55	  ( (ho_5 k_4 (ho_5 k_4 k_2)) )
0.19/0.55	  ( skv_13 )
0.19/0.55	  ( (ho_5 k_4 skv_13) )
0.19/0.55	)
0.19/0.55	(instantiation (forall ((Xx1 a)) (or (not (ho_3 skv_13 Xx1)) (ho_3 (ho_5 k_4 skv_13) Xx1)) )
0.19/0.55	  ( skv_11 )
0.19/0.55	  ( skv_19 )
0.19/0.55	  ( skv_26 )
0.19/0.55	)
0.19/0.55	(instantiation (forall ((Xx a)) (or (not (ho_3 (ho_5 k_4 (ho_5 k_4 k_2)) Xx)) (ho_3 k_2 Xx)) )
0.19/0.55	  ( skv_7 )
0.19/0.55	  ( skv_11 )
0.19/0.55	  ( skv_14 )
0.19/0.55	  ( skv_18 )
0.19/0.55	  ( skv_21 )
0.19/0.55	  ( skv_26 )
0.19/0.55	  ( skv_31 )
0.19/0.55	)
0.19/0.55	(instantiation (forall ((BOUND_VARIABLE_481 |u_(-> a Bool)|)) (or (not (forall ((Xx1 a)) (or (not (ho_3 BOUND_VARIABLE_481 Xx1)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_481) Xx1)) )) (not (ho_3 BOUND_VARIABLE_481 skv_14))) )
0.19/0.55	  ( (ho_5 k_4 k_2) )
0.19/0.55	)
0.19/0.55	(instantiation (forall ((Xx0 a)) (let ((_let_0 (ho_5 k_4 k_2))) (let ((_let_1 (ho_5 k_4 _let_0))) (let ((_let_2 (ho_5 k_4 _let_1))) (or (not (ho_3 _let_2 Xx0)) (ho_3 (ho_5 k_4 _let_2) Xx0))))) )
0.19/0.55	  ( skv_10 )
0.19/0.55	  ( skv_21 )
0.19/0.55	  ( skv_30 )
0.19/0.55	)
0.19/0.55	(instantiation (forall ((BOUND_VARIABLE_481 |u_(-> a Bool)|)) (or (not (forall ((Xx1 a)) (or (not (ho_3 BOUND_VARIABLE_481 Xx1)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_481) Xx1)) )) (not (ho_3 BOUND_VARIABLE_481 skv_16))) )
0.19/0.55	  ( (ho_5 k_4 (ho_5 k_4 k_2)) )
0.19/0.55	)
0.19/0.55	(instantiation (forall ((Xx0 a)) (let ((_let_0 (ho_5 k_4 skv_9))) (or (not (ho_3 _let_0 Xx0)) (ho_3 (ho_5 k_4 _let_0) Xx0))) )
0.19/0.55	  ( skv_6 )
0.19/0.55	  ( skv_7 )
0.19/0.55	  ( skv_8 )
0.19/0.55	  ( skv_15 )
0.19/0.55	  ( skv_18 )
0.19/0.55	  ( skv_22 )
0.19/0.55	  ( skv_24 )
0.19/0.55	  ( skv_28 )
0.19/0.55	  ( skv_31 )
0.19/0.55	  ( skv_32 )
0.19/0.55	)
0.19/0.55	(instantiation (forall ((BOUND_VARIABLE_481 |u_(-> a Bool)|)) (or (not (forall ((Xx1 a)) (or (not (ho_3 BOUND_VARIABLE_481 Xx1)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_481) Xx1)) )) (not (ho_3 BOUND_VARIABLE_481 skv_18))) )
0.19/0.55	  ( skv_9 )
0.19/0.55	  ( (ho_5 k_4 skv_9) )
0.19/0.55	  ( (ho_5 k_4 (ho_5 k_4 skv_9)) )
0.19/0.55	)
0.19/0.55	(instantiation (forall ((Xx1 a)) (or (not (ho_3 skv_23 Xx1)) (ho_3 (ho_5 k_4 skv_23) Xx1)) )
0.19/0.55	  ( skv_20 )
0.19/0.55	)
0.19/0.55	(instantiation (forall ((Xx0 a)) (or (not (ho_3 skv_25 Xx0)) (ho_3 (ho_5 k_4 skv_25) Xx0)) )
0.19/0.55	  ( skv_6 )
0.19/0.55	)
0.19/0.55	(instantiation (forall ((BOUND_VARIABLE_481 |u_(-> a Bool)|)) (or (not (forall ((Xx1 a)) (or (not (ho_3 BOUND_VARIABLE_481 Xx1)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_481) Xx1)) )) (not (ho_3 BOUND_VARIABLE_481 skv_26))) )
0.19/0.55	  ( skv_13 )
0.19/0.55	  ( (ho_5 k_4 skv_13) )
0.19/0.55	)
0.19/0.55	% SZS output end Proof for theBenchmark
0.19/0.55	EOF