0.12/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.14	% Command    : do_CVC4 %s %d
0.14/0.35	% Computer   : n004.cluster.edu
0.14/0.35	% Model      : x86_64 x86_64
0.14/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.35	% Memory     : 8042.1875MB
0.14/0.35	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.35	% CPULimit   : 960
0.14/0.35	% WCLimit    : 120
0.14/0.35	% DateTime   : Thu Jul  2 08:23:43 EDT 2020
0.14/0.35	% CPUTime    : 
0.20/0.48	%----Proving TH0
0.20/0.49	------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960...
0.20/0.49	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
0.71/0.90	% SZS status Theorem for theBenchmark
0.71/0.90	% SZS output start Proof for theBenchmark
0.71/0.90	(skolem (forall ((BOUND_VARIABLE_424 |u_(-> a Bool)|) (BOUND_VARIABLE_446 |u_(-> a Bool)|) (BOUND_VARIABLE_428 |u_(-> a Bool)|)) (= (= BOUND_VARIABLE_424 (ho_5 (ho_4 k_3 BOUND_VARIABLE_428) BOUND_VARIABLE_446)) (and (forall ((Xx a)) (or (not (ho_2 BOUND_VARIABLE_446 Xx)) (ho_2 BOUND_VARIABLE_424 Xx)) ) (forall ((BOUND_VARIABLE_434 |u_(-> a Bool)|) (BOUND_VARIABLE_378 a)) (or (not (forall ((Xx a)) (or (not (ho_2 BOUND_VARIABLE_446 Xx)) (ho_2 BOUND_VARIABLE_434 Xx)) )) (not (forall ((Xx a)) (or (not (ho_2 BOUND_VARIABLE_428 Xx)) (ho_2 BOUND_VARIABLE_434 Xx)) )) (not (ho_2 BOUND_VARIABLE_424 BOUND_VARIABLE_378)) (ho_2 BOUND_VARIABLE_434 BOUND_VARIABLE_378)) ) (forall ((Xx a)) (or (not (ho_2 BOUND_VARIABLE_428 Xx)) (ho_2 BOUND_VARIABLE_424 Xx)) ))) )
0.71/0.90	  ( skv_6 skv_7 skv_8 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((z a)) (= (ho_2 skv_7 z) (ho_2 skv_8 z)) )
0.71/0.90	  ( skv_10 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((Xx a)) (or (not (ho_2 skv_8 Xx)) (ho_2 skv_7 Xx)) )
0.71/0.90	  ( skv_11 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((z |u_(-> a Bool)|)) (= (ho_5 (ho_4 k_3 skv_8) z) (ho_5 (ho_4 k_3 skv_6) z)) )
0.71/0.90	  ( skv_12 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((Xx a)) (or (not (ho_2 skv_7 Xx)) (ho_2 (ho_5 (ho_4 k_3 skv_8) skv_7) Xx)) )
0.71/0.90	  ( skv_13 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((Xx a)) (or (not (ho_2 skv_8 Xx)) (ho_2 (ho_5 (ho_4 k_3 skv_8) skv_7) Xx)) )
0.71/0.90	  ( skv_14 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((Xx a)) (or (not (ho_2 skv_7 Xx)) (ho_2 skv_8 Xx)) )
0.71/0.90	  ( skv_15 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((z a)) (= (ho_2 skv_7 z) (ho_2 (ho_5 (ho_4 k_3 skv_8) skv_7) z)) )
0.71/0.90	  ( skv_16 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((Xx a)) (or (not (ho_2 skv_7 Xx)) (ho_2 (ho_5 (ho_4 k_3 skv_6) skv_6) Xx)) )
0.71/0.90	  ( skv_17 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((Xx a)) (or (not (ho_2 skv_8 Xx)) (ho_2 (ho_5 (ho_4 k_3 skv_6) skv_6) Xx)) )
0.71/0.90	  ( skv_18 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((z a)) (= (ho_2 skv_8 z) (ho_2 (ho_5 (ho_4 k_3 skv_8) skv_7) z)) )
0.71/0.90	  ( skv_19 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((z |u_(-> a Bool)|)) (= (ho_5 (ho_4 k_3 skv_8) z) (ho_5 (ho_4 k_3 skv_7) z)) )
0.71/0.90	  ( skv_20 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((Xx a)) (or (not (ho_2 skv_7 Xx)) (ho_2 (ho_5 (ho_4 k_3 skv_6) skv_7) Xx)) )
0.71/0.90	  ( skv_21 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((Xx a)) (or (not (ho_2 skv_8 Xx)) (ho_2 (ho_5 (ho_4 k_3 skv_6) skv_7) Xx)) )
0.71/0.90	  ( skv_22 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((z |u_(-> a Bool)|)) (= (ho_5 (ho_4 k_3 skv_6) z) (ho_5 (ho_4 k_3 skv_7) z)) )
0.71/0.90	  ( skv_23 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((Xx a)) (or (not (ho_2 skv_7 Xx)) (ho_2 skv_12 Xx)) )
0.71/0.90	  ( skv_24 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((z a)) (= (ho_2 skv_7 z) (ho_2 skv_6 z)) )
0.71/0.90	  ( skv_25 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((z a)) (= (ho_2 skv_8 z) (ho_2 skv_6 z)) )
0.71/0.90	  ( skv_26 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((z a)) (= (ho_2 (ho_5 (ho_4 k_3 skv_8) skv_7) z) (ho_2 skv_6 z)) )
0.71/0.90	  ( skv_27 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((Xx a)) (or (not (ho_2 skv_7 Xx)) (ho_2 (ho_5 (ho_4 k_3 skv_6) skv_12) Xx)) )
0.71/0.90	  ( skv_28 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((Xx a)) (or (not (ho_2 skv_8 Xx)) (ho_2 (ho_5 (ho_4 k_3 skv_6) skv_12) Xx)) )
0.71/0.90	  ( skv_29 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((Xx a)) (or (not (ho_2 skv_7 Xx)) (ho_2 skv_6 Xx)) )
0.71/0.90	  ( skv_30 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((Xx a)) (or (not (ho_2 skv_8 Xx)) (ho_2 skv_6 Xx)) )
0.71/0.90	  ( skv_31 )
0.71/0.90	)
0.71/0.90	(skolem (forall ((BOUND_VARIABLE_434 |u_(-> a Bool)|) (BOUND_VARIABLE_378 a)) (or (not (forall ((Xx a)) (or (not (ho_2 skv_7 Xx)) (ho_2 BOUND_VARIABLE_434 Xx)) )) (not (forall ((Xx a)) (or (not (ho_2 skv_8 Xx)) (ho_2 BOUND_VARIABLE_434 Xx)) )) (not (ho_2 skv_6 BOUND_VARIABLE_378)) (ho_2 BOUND_VARIABLE_434 BOUND_VARIABLE_378)) )
0.71/0.90	  ( skv_32 skv_33 )
0.71/0.90	)
0.71/0.90	(instantiation (forall ((BOUND_VARIABLE_482 |u_(-> a Bool)|) (BOUND_VARIABLE_479 |u_(-> a Bool)|) (BOUND_VARIABLE_413 a)) (= (ho_2 (ho_5 (ho_4 k_3 BOUND_VARIABLE_482) BOUND_VARIABLE_479) BOUND_VARIABLE_413) (or (ho_2 BOUND_VARIABLE_482 BOUND_VARIABLE_413) (ho_2 BOUND_VARIABLE_479 BOUND_VARIABLE_413))) )
0.71/0.90	  ( skv_6, skv_6, e_a_9 )
0.71/0.90	  ( skv_6, skv_6, skv_10 )
0.71/0.90	  ( skv_6, skv_6, skv_17 )
0.71/0.90	  ( skv_6, skv_6, skv_18 )
0.71/0.90	  ( skv_6, skv_6, skv_22 )
0.71/0.90	  ( skv_6, skv_6, skv_24 )
0.71/0.90	  ( skv_6, skv_6, skv_25 )
0.71/0.90	  ( skv_6, skv_6, skv_26 )
0.71/0.90	  ( skv_6, skv_6, skv_28 )
0.71/0.90	  ( skv_6, skv_7, e_a_9 )
0.71/0.90	  ( skv_6, skv_7, skv_10 )
0.71/0.90	  ( skv_6, skv_7, skv_21 )
0.71/0.90	  ( skv_6, skv_7, skv_22 )
0.71/0.90	  ( skv_6, skv_7, skv_24 )
0.71/0.90	  ( skv_6, skv_7, skv_25 )
0.71/0.90	  ( skv_6, skv_7, skv_26 )
0.71/0.90	  ( skv_6, skv_7, skv_28 )
0.71/0.90	  ( skv_6, skv_8, e_a_9 )
0.71/0.90	  ( skv_6, skv_12, skv_10 )
0.71/0.90	  ( skv_6, skv_12, skv_28 )
0.71/0.90	  ( skv_6, skv_12, skv_29 )
0.71/0.90	  ( skv_7, skv_6, e_a_9 )
0.71/0.90	  ( skv_7, skv_7, e_a_9 )
0.71/0.90	  ( skv_7, skv_8, e_a_9 )
0.71/0.90	  ( skv_8, skv_6, e_a_9 )
0.71/0.90	  ( skv_8, skv_7, e_a_9 )
0.71/0.90	  ( skv_8, skv_7, skv_10 )
0.71/0.90	  ( skv_8, skv_7, skv_13 )
0.71/0.90	  ( skv_8, skv_7, skv_14 )
0.71/0.90	  ( skv_8, skv_7, skv_16 )
0.71/0.90	  ( skv_8, skv_7, skv_17 )
0.71/0.90	  ( skv_8, skv_7, skv_18 )
0.71/0.90	  ( skv_8, skv_7, skv_19 )
0.71/0.90	  ( skv_8, skv_7, skv_22 )
0.71/0.90	  ( skv_8, skv_7, skv_24 )
0.71/0.90	  ( skv_8, skv_7, skv_25 )
0.71/0.90	  ( skv_8, skv_7, skv_26 )
0.71/0.90	  ( skv_8, skv_7, skv_27 )
0.71/0.90	  ( skv_8, skv_7, skv_28 )
0.71/0.90	  ( skv_8, skv_7, skv_30 )
0.71/0.90	  ( skv_8, skv_7, skv_31 )
0.71/0.90	  ( skv_8, skv_7, skv_33 )
0.71/0.90	  ( skv_8, skv_8, e_a_9 )
0.71/0.90	)
0.71/0.90	(instantiation (forall ((x |u_(-> a Bool)|) (y |u_(-> a Bool)|)) (or (not (forall ((z a)) (= (ho_2 x z) (ho_2 y z)) )) (= x y)) )
0.71/0.90	  ( skv_7, skv_6 )
0.71/0.90	  ( skv_7, skv_8 )
0.71/0.90	  ( skv_7, (ho_5 (ho_4 k_3 skv_8) skv_7) )
0.71/0.90	  ( skv_8, skv_6 )
0.71/0.90	  ( skv_8, skv_7 )
0.71/0.90	  ( skv_8, (ho_5 (ho_4 k_3 skv_8) skv_7) )
0.71/0.90	  ( (ho_5 (ho_4 k_3 skv_8) skv_7), skv_6 )
0.71/0.90	  ( (ho_5 (ho_4 k_3 skv_8) skv_7), skv_7 )
0.71/0.90	  ( (ho_5 (ho_4 k_3 skv_8) skv_7), skv_8 )
0.71/0.90	)
0.71/0.90	(instantiation (forall ((x |u_(-> _u_(-> a Bool)_ a Bool)|) (y |u_(-> _u_(-> a Bool)_ a Bool)|)) (or (not (forall ((z |u_(-> a Bool)|)) (= (ho_5 x z) (ho_5 y z)) )) (= x y)) )
0.71/0.90	  ( (ho_4 k_3 skv_8), (ho_4 k_3 skv_6) )
0.71/0.90	  ( (ho_4 k_3 skv_8), (ho_4 k_3 skv_7) )
0.71/0.90	  ( (ho_4 k_3 skv_6), (ho_4 k_3 skv_8) )
0.71/0.90	  ( (ho_4 k_3 skv_6), (ho_4 k_3 skv_7) )
0.71/0.90	  ( (ho_4 k_3 skv_7), (ho_4 k_3 skv_8) )
0.71/0.90	  ( (ho_4 k_3 skv_7), (ho_4 k_3 skv_6) )
0.71/0.90	)
0.71/0.90	(instantiation (forall ((Xx a)) (or (not (ho_2 skv_7 Xx)) (ho_2 skv_6 Xx)) )
0.71/0.90	  ( e_a_9 )
0.71/0.90	  ( skv_15 )
0.71/0.90	  ( skv_17 )
0.71/0.90	  ( skv_19 )
0.71/0.90	  ( skv_24 )
0.71/0.90	  ( skv_27 )
0.71/0.90	  ( skv_28 )
0.71/0.90	)
0.71/0.90	(instantiation (forall ((BOUND_VARIABLE_434 |u_(-> a Bool)|) (BOUND_VARIABLE_378 a)) (or (not (forall ((Xx a)) (or (not (ho_2 skv_7 Xx)) (ho_2 BOUND_VARIABLE_434 Xx)) )) (not (forall ((Xx a)) (or (not (ho_2 skv_8 Xx)) (ho_2 BOUND_VARIABLE_434 Xx)) )) (not (ho_2 skv_6 BOUND_VARIABLE_378)) (ho_2 BOUND_VARIABLE_434 BOUND_VARIABLE_378)) )
0.71/0.90	  ( skv_6, e_a_9 )
0.71/0.90	  ( skv_7, skv_10 )
0.71/0.90	  ( skv_7, skv_11 )
0.71/0.90	  ( skv_7, skv_13 )
0.71/0.90	  ( skv_7, skv_14 )
0.71/0.90	  ( skv_7, skv_16 )
0.71/0.90	  ( skv_7, skv_25 )
0.71/0.90	  ( skv_7, skv_26 )
0.71/0.90	  ( skv_8, skv_13 )
0.71/0.90	  ( skv_8, skv_14 )
0.71/0.90	  ( skv_8, skv_15 )
0.71/0.90	  ( skv_8, skv_19 )
0.71/0.90	  ( skv_8, skv_25 )
0.71/0.90	  ( skv_8, skv_26 )
0.71/0.90	  ( (ho_5 (ho_4 k_3 skv_8) skv_7), skv_10 )
0.71/0.90	  ( (ho_5 (ho_4 k_3 skv_8) skv_7), skv_13 )
0.71/0.90	  ( (ho_5 (ho_4 k_3 skv_8) skv_7), skv_14 )
0.71/0.90	  ( (ho_5 (ho_4 k_3 skv_8) skv_7), skv_25 )
0.71/0.90	  ( (ho_5 (ho_4 k_3 skv_8) skv_7), skv_26 )
0.71/0.90	  ( (ho_5 (ho_4 k_3 skv_8) skv_7), skv_27 )
0.71/0.90	  ( (ho_5 (ho_4 k_3 skv_6) skv_6), skv_10 )
0.71/0.90	  ( (ho_5 (ho_4 k_3 skv_6) skv_6), skv_17 )
0.71/0.90	  ( (ho_5 (ho_4 k_3 skv_6) skv_6), skv_18 )
0.71/0.90	  ( (ho_5 (ho_4 k_3 skv_6) skv_6), skv_25 )
0.71/0.90	  ( (ho_5 (ho_4 k_3 skv_6) skv_6), skv_26 )
0.71/0.90	  ( (ho_5 (ho_4 k_3 skv_6) skv_7), skv_10 )
0.71/0.90	  ( (ho_5 (ho_4 k_3 skv_6) skv_7), skv_22 )
0.71/0.90	  ( skv_12, skv_10 )
0.71/0.90	  ( skv_12, skv_11 )
0.71/0.90	  ( skv_12, skv_15 )
0.71/0.90	  ( skv_12, skv_16 )
0.71/0.90	  ( skv_12, skv_24 )
0.71/0.90	  ( (ho_5 (ho_4 k_3 skv_6) skv_12), skv_10 )
0.71/0.90	  ( (ho_5 (ho_4 k_3 skv_6) skv_12), skv_28 )
0.71/0.90	)
0.71/0.90	(instantiation (forall ((Xx a)) (or (not (ho_2 skv_8 Xx)) (ho_2 skv_6 Xx)) )
0.71/0.90	  ( e_a_9 )
0.71/0.90	  ( skv_10 )
0.71/0.90	  ( skv_11 )
0.71/0.90	  ( skv_16 )
0.71/0.90	  ( skv_17 )
0.71/0.90	  ( skv_18 )
0.71/0.90	  ( skv_21 )
0.71/0.90	  ( skv_22 )
0.71/0.90	  ( skv_24 )
0.71/0.90	  ( skv_27 )
0.71/0.90	  ( skv_28 )
0.71/0.90	  ( skv_29 )
0.71/0.90	)
0.71/0.90	(instantiation (forall ((Xx a)) (or (not (ho_2 skv_8 Xx)) (ho_2 skv_7 Xx)) )
0.71/0.90	  ( skv_10 )
0.71/0.90	)
0.71/0.90	(instantiation (forall ((Xx a)) (or (not (ho_2 skv_7 Xx)) (ho_2 (ho_5 (ho_4 k_3 skv_8) skv_7) Xx)) )
0.71/0.90	  ( skv_15 )
0.71/0.90	  ( skv_17 )
0.71/0.90	  ( skv_24 )
0.71/0.90	  ( skv_26 )
0.71/0.90	  ( skv_27 )
0.71/0.90	  ( skv_28 )
0.71/0.90	)
0.71/0.90	(instantiation (forall ((Xx a)) (or (not (ho_2 skv_8 Xx)) (ho_2 (ho_5 (ho_4 k_3 skv_8) skv_7) Xx)) )
0.71/0.90	  ( skv_11 )
0.71/0.90	  ( skv_17 )
0.71/0.90	  ( skv_18 )
0.71/0.90	  ( skv_22 )
0.71/0.90	  ( skv_24 )
0.71/0.90	  ( skv_25 )
0.71/0.90	  ( skv_27 )
0.71/0.90	  ( skv_28 )
0.71/0.90	  ( skv_29 )
0.71/0.90	)
0.71/0.90	(instantiation (forall ((Xx a)) (or (not (ho_2 skv_7 Xx)) (ho_2 skv_8 Xx)) )
0.71/0.90	  ( skv_19 )
0.71/0.90	)
0.71/0.90	(instantiation (forall ((Xx a)) (or (not (ho_2 skv_7 Xx)) (ho_2 (ho_5 (ho_4 k_3 skv_6) skv_6) Xx)) )
0.71/0.90	  ( skv_15 )
0.71/0.90	  ( skv_18 )
0.71/0.90	  ( skv_19 )
0.71/0.90	  ( skv_24 )
0.71/0.90	  ( skv_26 )
0.71/0.90	  ( skv_28 )
0.71/0.90	)
0.71/0.90	(instantiation (forall ((Xx a)) (or (not (ho_2 skv_8 Xx)) (ho_2 (ho_5 (ho_4 k_3 skv_6) skv_6) Xx)) )
0.71/0.90	  ( skv_11 )
0.71/0.90	  ( skv_16 )
0.71/0.90	  ( skv_22 )
0.71/0.90	  ( skv_24 )
0.71/0.90	  ( skv_25 )
0.71/0.90	  ( skv_28 )
0.71/0.90	  ( skv_29 )
0.71/0.90	)
0.71/0.90	(instantiation (forall ((Xx a)) (or (not (ho_2 skv_7 Xx)) (ho_2 (ho_5 (ho_4 k_3 skv_6) skv_7) Xx)) )
0.71/0.90	  ( skv_15 )
0.71/0.90	  ( skv_19 )
0.71/0.90	  ( skv_22 )
0.71/0.90	  ( skv_24 )
0.71/0.90	  ( skv_26 )
0.71/0.90	  ( skv_28 )
0.71/0.90	)
0.71/0.90	(instantiation (forall ((Xx a)) (or (not (ho_2 skv_8 Xx)) (ho_2 (ho_5 (ho_4 k_3 skv_6) skv_7) Xx)) )
0.71/0.90	  ( skv_11 )
0.71/0.90	  ( skv_16 )
0.71/0.90	  ( skv_24 )
0.71/0.90	  ( skv_25 )
0.71/0.90	  ( skv_28 )
0.71/0.90	  ( skv_29 )
0.71/0.90	)
0.71/0.90	(instantiation (forall ((Xx a)) (or (not (ho_2 skv_7 Xx)) (ho_2 skv_12 Xx)) )
0.71/0.90	  ( skv_15 )
0.71/0.90	  ( skv_19 )
0.71/0.90	  ( skv_26 )
0.71/0.90	)
0.71/0.90	(instantiation (forall ((z a)) (= (ho_2 (ho_5 (ho_4 k_3 skv_8) skv_7) z) (ho_2 skv_6 z)) )
0.71/0.90	  ( skv_24 )
0.71/0.90	)
0.71/0.90	(instantiation (forall ((Xx a)) (or (not (ho_2 skv_7 Xx)) (ho_2 (ho_5 (ho_4 k_3 skv_6) skv_12) Xx)) )
0.71/0.90	  ( skv_15 )
0.71/0.90	  ( skv_19 )
0.71/0.90	  ( skv_26 )
0.71/0.90	  ( skv_29 )
0.71/0.90	)
0.71/0.90	(instantiation (forall ((Xx a)) (or (not (ho_2 skv_8 Xx)) (ho_2 (ho_5 (ho_4 k_3 skv_6) skv_12) Xx)) )
0.71/0.90	  ( skv_11 )
0.71/0.90	  ( skv_16 )
0.71/0.90	  ( skv_25 )
0.71/0.90	  ( skv_28 )
0.71/0.90	  ( skv_29 )
0.71/0.90	)
0.71/0.90	(instantiation (forall ((Xx a)) (or (not (ho_2 skv_7 Xx)) (ho_2 skv_32 Xx)) )
0.71/0.90	  ( skv_15 )
0.71/0.90	  ( skv_19 )
0.71/0.90	  ( skv_26 )
0.71/0.90	  ( skv_33 )
0.71/0.90	)
0.71/0.90	(instantiation (forall ((Xx a)) (or (not (ho_2 skv_8 Xx)) (ho_2 skv_32 Xx)) )
0.71/0.90	  ( skv_10 )
0.71/0.90	  ( skv_11 )
0.71/0.90	  ( skv_16 )
0.71/0.90	  ( skv_25 )
0.71/0.90	  ( skv_29 )
0.71/0.90	  ( skv_33 )
0.71/0.90	)
0.71/0.90	% SZS output end Proof for theBenchmark
0.71/0.90	EOF