0.00/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.10	% Command    : do_CVC4 %s %d
0.10/0.31	% Computer   : n015.cluster.edu
0.10/0.31	% Model      : x86_64 x86_64
0.10/0.31	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.31	% Memory     : 8042.1875MB
0.10/0.31	% OS         : Linux 3.10.0-693.el7.x86_64
0.10/0.31	% CPULimit   : 960
0.10/0.31	% WCLimit    : 120
0.10/0.31	% DateTime   : Thu Jul  2 08:58:30 EDT 2020
0.10/0.31	% CPUTime    : 
0.16/0.41	%----Proving TH0
0.16/0.41	------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960...
0.16/0.41	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
0.16/0.51	% SZS status Theorem for theBenchmark
0.16/0.52	% SZS output start Proof for theBenchmark
0.16/0.52	(skolem (forall ((BOUND_VARIABLE_557 |u_(-> _u_(-> a Bool)_ Bool)|) (BOUND_VARIABLE_574 |u_(-> a Bool)|)) (or (not (forall ((BOUND_VARIABLE_594 |u_(-> a Bool)|)) (ho_3 BOUND_VARIABLE_557 (ho_6 (ho_5 k_4 BOUND_VARIABLE_557) BOUND_VARIABLE_594)) )) (= (ho_3 BOUND_VARIABLE_557 BOUND_VARIABLE_574) (forall ((Xx a)) (or (not (ho_2 BOUND_VARIABLE_574 Xx)) (not (forall ((BOUND_VARIABLE_562 |u_(-> a Bool)|) (BOUND_VARIABLE_551 |u_(-> a Bool)|)) (or (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_562 Xx0)) (ho_2 BOUND_VARIABLE_574 Xx0)) )) (not (ho_2 BOUND_VARIABLE_551 Xx)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_551 Xx0)) (ho_2 BOUND_VARIABLE_562 Xx0)) )) (not (ho_3 BOUND_VARIABLE_557 BOUND_VARIABLE_551))) ))) ))) )
0.16/0.52	  ( skv_7 skv_8 )
0.16/0.52	)
0.16/0.52	(skolem (forall ((z a)) (= (ho_2 skv_8 z) (ho_2 (ho_6 (ho_5 k_4 skv_7) skv_8) z)) )
0.16/0.52	  ( skv_12 )
0.16/0.52	)
0.16/0.52	(skolem (forall ((BOUND_VARIABLE_616 |u_(-> a Bool)|)) (or (not (ho_3 skv_7 BOUND_VARIABLE_616)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_616 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_2 BOUND_VARIABLE_616 skv_12))) )
0.16/0.52	  ( skv_13 )
0.16/0.52	)
0.16/0.52	(skolem (forall ((Xx0 a)) (or (not (ho_2 skv_13 Xx0)) (ho_2 skv_8 Xx0)) )
0.16/0.52	  ( skv_14 )
0.16/0.52	)
0.16/0.52	(skolem (forall ((BOUND_VARIABLE_562 |u_(-> a Bool)|) (BOUND_VARIABLE_551 |u_(-> a Bool)|)) (or (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_562 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_2 BOUND_VARIABLE_551 skv_12)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_551 Xx0)) (ho_2 BOUND_VARIABLE_562 Xx0)) )) (not (ho_3 skv_7 BOUND_VARIABLE_551))) )
0.16/0.52	  ( skv_15 skv_16 )
0.16/0.52	)
0.16/0.52	(skolem (forall ((Xx0 a)) (let ((_let_0 (ho_5 k_4 skv_7))) (or (not (ho_2 (ho_6 _let_0 (ho_6 _let_0 skv_8)) Xx0)) (ho_2 skv_8 Xx0))) )
0.16/0.52	  ( skv_17 )
0.16/0.52	)
0.16/0.52	(skolem (forall ((Xx0 a)) (or (not (ho_2 skv_16 Xx0)) (ho_2 skv_8 Xx0)) )
0.16/0.52	  ( skv_18 )
0.16/0.52	)
0.16/0.52	(skolem (forall ((BOUND_VARIABLE_616 |u_(-> a Bool)|)) (or (not (ho_3 skv_7 BOUND_VARIABLE_616)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_616 Xx0)) (ho_2 (ho_6 (ho_5 k_4 skv_7) skv_8) Xx0)) )) (not (ho_2 BOUND_VARIABLE_616 skv_17))) )
0.16/0.52	  ( skv_19 )
0.16/0.52	)
0.16/0.52	(skolem (forall ((Xx0 a)) (or (not (ho_2 skv_16 Xx0)) (ho_2 (ho_6 (ho_5 k_4 skv_7) skv_8) Xx0)) )
0.16/0.52	  ( skv_20 )
0.16/0.52	)
0.16/0.52	(skolem (forall ((Xx a)) (or (not (ho_2 skv_8 Xx)) (not (forall ((BOUND_VARIABLE_562 |u_(-> a Bool)|) (BOUND_VARIABLE_551 |u_(-> a Bool)|)) (or (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_562 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_2 BOUND_VARIABLE_551 Xx)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_551 Xx0)) (ho_2 BOUND_VARIABLE_562 Xx0)) )) (not (ho_3 skv_7 BOUND_VARIABLE_551))) ))) )
0.16/0.52	  ( skv_21 )
0.16/0.52	)
0.16/0.52	(skolem (forall ((Xx0 a)) (or (not (ho_2 skv_15 Xx0)) (ho_2 skv_8 Xx0)) )
0.16/0.52	  ( skv_22 )
0.16/0.52	)
0.16/0.52	(skolem (forall ((Xx0 a)) (or (not (ho_2 skv_16 Xx0)) (ho_2 skv_15 Xx0)) )
0.16/0.52	  ( skv_23 )
0.16/0.52	)
0.16/0.52	(skolem (forall ((Xx0 a)) (or (not (ho_2 skv_19 Xx0)) (ho_2 skv_8 Xx0)) )
0.16/0.52	  ( skv_24 )
0.16/0.52	)
0.16/0.52	(skolem (forall ((Xx0 a)) (or (not (ho_2 skv_19 Xx0)) (ho_2 (ho_6 (ho_5 k_4 skv_7) skv_8) Xx0)) )
0.16/0.52	  ( skv_25 )
0.16/0.52	)
0.16/0.52	(skolem (forall ((Xx0 a)) (or (not (ho_2 skv_8 Xx0)) (ho_2 (ho_6 (ho_5 k_4 skv_7) skv_8) Xx0)) )
0.16/0.52	  ( skv_26 )
0.16/0.52	)
0.16/0.52	(skolem (forall ((BOUND_VARIABLE_616 |u_(-> a Bool)|)) (or (not (ho_3 skv_7 BOUND_VARIABLE_616)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_616 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_2 BOUND_VARIABLE_616 skv_21))) )
0.16/0.52	  ( skv_27 )
0.16/0.52	)
0.16/0.52	(skolem (forall ((BOUND_VARIABLE_616 |u_(-> a Bool)|)) (or (not (ho_3 skv_7 BOUND_VARIABLE_616)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_616 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_2 BOUND_VARIABLE_616 skv_23))) )
0.16/0.52	  ( skv_28 )
0.16/0.52	)
0.16/0.52	(skolem (forall ((Xx0 a)) (or (not (ho_2 skv_27 Xx0)) (ho_2 (ho_6 (ho_5 k_4 skv_7) skv_8) Xx0)) )
0.16/0.52	  ( skv_29 )
0.16/0.52	)
0.16/0.52	(skolem (forall ((Xx0 a)) (or (not (ho_2 skv_28 Xx0)) (ho_2 (ho_6 (ho_5 k_4 skv_7) skv_8) Xx0)) )
0.16/0.52	  ( skv_30 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((BOUND_VARIABLE_628 |u_(-> _u_(-> a Bool)_ Bool)|) (BOUND_VARIABLE_620 |u_(-> a Bool)|) (BOUND_VARIABLE_531 a)) (= (ho_2 (ho_6 (ho_5 k_4 BOUND_VARIABLE_628) BOUND_VARIABLE_620) BOUND_VARIABLE_531) (not (forall ((BOUND_VARIABLE_616 |u_(-> a Bool)|)) (or (not (ho_3 BOUND_VARIABLE_628 BOUND_VARIABLE_616)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_616 Xx0)) (ho_2 BOUND_VARIABLE_620 Xx0)) )) (not (ho_2 BOUND_VARIABLE_616 BOUND_VARIABLE_531))) ))) )
0.16/0.52	  ( skv_7, skv_8, e_a_11 )
0.16/0.52	  ( skv_7, skv_8, skv_12 )
0.16/0.52	  ( skv_7, skv_8, skv_14 )
0.16/0.52	  ( skv_7, skv_8, skv_17 )
0.16/0.52	  ( skv_7, skv_8, skv_18 )
0.16/0.52	  ( skv_7, skv_8, skv_20 )
0.16/0.52	  ( skv_7, skv_8, skv_21 )
0.16/0.52	  ( skv_7, skv_8, skv_22 )
0.16/0.52	  ( skv_7, skv_8, skv_23 )
0.16/0.52	  ( skv_7, skv_8, skv_24 )
0.16/0.52	  ( skv_7, skv_8, skv_25 )
0.16/0.52	  ( skv_7, skv_8, skv_26 )
0.16/0.52	  ( skv_7, skv_8, skv_29 )
0.16/0.52	  ( skv_7, skv_8, skv_30 )
0.16/0.52	  ( skv_7, (ho_6 (ho_5 k_4 skv_7) skv_8), e_a_11 )
0.16/0.52	  ( skv_7, (ho_6 (ho_5 k_4 skv_7) skv_8), skv_12 )
0.16/0.52	  ( skv_7, (ho_6 (ho_5 k_4 skv_7) skv_8), skv_17 )
0.16/0.52	  ( skv_7, skv_13, e_a_11 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((x |u_(-> _u_(-> _u_(-> a Bool)_ Bool)_ _u_(-> a Bool)_ a Bool)|) (y |u_(-> _u_(-> _u_(-> a Bool)_ Bool)_ _u_(-> a Bool)_ a Bool)|)) (or (not (forall ((z |u_(-> _u_(-> a Bool)_ Bool)|)) (= (ho_5 x z) (ho_5 y z)) )) (= x y)) )
0.16/0.52	  ( |e__u_(-> _u_(-> _u_(-> a Bool)_ Bool)_ _u_(-> a Bool)_ a Bool)__9|, |e__u_(-> _u_(-> _u_(-> a Bool)_ Bool)_ _u_(-> a Bool)_ a Bool)__9| )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((x |u_(-> _u_(-> a Bool)_ a Bool)|) (y |u_(-> _u_(-> a Bool)_ a Bool)|)) (or (not (forall ((z |u_(-> a Bool)|)) (= (ho_6 x z) (ho_6 y z)) )) (= x y)) )
0.16/0.52	  ( |e__u_(-> _u_(-> a Bool)_ a Bool)__10|, |e__u_(-> _u_(-> a Bool)_ a Bool)__10| )
0.16/0.52	)
0.16/0.52	(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)) )
0.16/0.52	  ( skv_8, (ho_6 (ho_5 k_4 skv_7) skv_8) )
0.16/0.52	  ( skv_8, skv_13 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((BOUND_VARIABLE_594 |u_(-> a Bool)|)) (ho_3 skv_7 (ho_6 (ho_5 k_4 skv_7) BOUND_VARIABLE_594)) )
0.16/0.52	  ( skv_8 )
0.16/0.52	  ( (ho_6 (ho_5 k_4 skv_7) skv_8) )
0.16/0.52	  ( skv_13 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((Xx a)) (or (not (ho_2 skv_8 Xx)) (not (forall ((BOUND_VARIABLE_562 |u_(-> a Bool)|) (BOUND_VARIABLE_551 |u_(-> a Bool)|)) (or (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_562 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_2 BOUND_VARIABLE_551 Xx)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_551 Xx0)) (ho_2 BOUND_VARIABLE_562 Xx0)) )) (not (ho_3 skv_7 BOUND_VARIABLE_551))) ))) )
0.16/0.52	  ( e_a_11 )
0.16/0.52	  ( skv_12 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((BOUND_VARIABLE_616 |u_(-> a Bool)|)) (or (not (ho_3 skv_7 BOUND_VARIABLE_616)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_616 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_2 BOUND_VARIABLE_616 e_a_11))) )
0.16/0.52	  ( skv_8 )
0.16/0.52	  ( skv_13 )
0.16/0.52	  ( skv_16 )
0.16/0.52	  ( skv_19 )
0.16/0.52	  ( skv_27 )
0.16/0.52	  ( skv_28 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((z a)) (= (ho_2 skv_8 z) (ho_2 (ho_6 (ho_5 k_4 skv_7) skv_8) z)) )
0.16/0.52	  ( skv_18 )
0.16/0.52	  ( skv_26 )
0.16/0.52	  ( skv_29 )
0.16/0.52	  ( skv_30 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((BOUND_VARIABLE_616 |u_(-> a Bool)|)) (or (not (ho_3 skv_7 BOUND_VARIABLE_616)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_616 Xx0)) (ho_2 (ho_6 (ho_5 k_4 skv_7) skv_8) Xx0)) )) (not (ho_2 BOUND_VARIABLE_616 e_a_11))) )
0.16/0.52	  ( skv_8 )
0.16/0.52	  ( skv_13 )
0.16/0.52	  ( skv_16 )
0.16/0.52	  ( skv_19 )
0.16/0.52	  ( skv_27 )
0.16/0.52	  ( skv_28 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((BOUND_VARIABLE_616 |u_(-> a Bool)|)) (or (not (ho_3 skv_7 BOUND_VARIABLE_616)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_616 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_2 BOUND_VARIABLE_616 skv_12))) )
0.16/0.52	  ( skv_8 )
0.16/0.52	  ( (let ((_let_0 (ho_5 k_4 skv_7))) (ho_6 _let_0 (ho_6 _let_0 skv_8))) )
0.16/0.52	  ( skv_13 )
0.16/0.52	  ( skv_15 )
0.16/0.52	  ( skv_16 )
0.16/0.52	  ( skv_19 )
0.16/0.52	  ( skv_27 )
0.16/0.52	  ( skv_28 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((Xx0 a)) (or (not (ho_2 skv_13 Xx0)) (ho_2 skv_8 Xx0)) )
0.16/0.52	  ( skv_12 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((Xx0 a)) (let ((_let_0 (ho_5 k_4 skv_7))) (or (not (ho_2 (ho_6 _let_0 (ho_6 _let_0 skv_8)) Xx0)) (ho_2 skv_8 Xx0))) )
0.16/0.52	  ( skv_18 )
0.16/0.52	  ( skv_26 )
0.16/0.52	  ( skv_29 )
0.16/0.52	  ( skv_30 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((Xx0 a)) (or (not (ho_2 skv_15 Xx0)) (ho_2 skv_8 Xx0)) )
0.16/0.52	  ( e_a_11 )
0.16/0.52	  ( skv_14 )
0.16/0.52	  ( skv_17 )
0.16/0.52	  ( skv_18 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((Xx0 a)) (or (not (ho_2 skv_16 Xx0)) (ho_2 skv_15 Xx0)) )
0.16/0.52	  ( e_a_11 )
0.16/0.52	  ( skv_12 )
0.16/0.52	  ( skv_14 )
0.16/0.52	  ( skv_17 )
0.16/0.52	  ( skv_18 )
0.16/0.52	  ( skv_20 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((BOUND_VARIABLE_616 |u_(-> a Bool)|)) (or (not (ho_3 skv_7 BOUND_VARIABLE_616)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_616 Xx0)) (ho_2 (ho_6 (ho_5 k_4 skv_7) skv_8) Xx0)) )) (not (ho_2 BOUND_VARIABLE_616 skv_12))) )
0.16/0.52	  ( skv_8 )
0.16/0.52	  ( skv_15 )
0.16/0.52	  ( skv_16 )
0.16/0.52	  ( skv_19 )
0.16/0.52	  ( skv_27 )
0.16/0.52	  ( skv_28 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((BOUND_VARIABLE_616 |u_(-> a Bool)|)) (or (not (ho_3 skv_7 BOUND_VARIABLE_616)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_616 Xx0)) (ho_2 (ho_6 (ho_5 k_4 skv_7) skv_8) Xx0)) )) (not (ho_2 BOUND_VARIABLE_616 skv_17))) )
0.16/0.52	  ( skv_27 )
0.16/0.52	  ( skv_28 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((Xx0 a)) (or (not (ho_2 skv_16 Xx0)) (ho_2 skv_8 Xx0)) )
0.16/0.52	  ( e_a_11 )
0.16/0.52	  ( skv_14 )
0.16/0.52	  ( skv_17 )
0.16/0.52	  ( skv_18 )
0.16/0.52	  ( skv_20 )
0.16/0.52	  ( skv_22 )
0.16/0.52	  ( skv_23 )
0.16/0.52	  ( skv_24 )
0.16/0.52	  ( skv_25 )
0.16/0.52	  ( skv_26 )
0.16/0.52	  ( skv_29 )
0.16/0.52	  ( skv_30 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((Xx0 a)) (or (not (ho_2 skv_16 Xx0)) (ho_2 (ho_6 (ho_5 k_4 skv_7) skv_8) Xx0)) )
0.16/0.52	  ( e_a_11 )
0.16/0.52	  ( skv_12 )
0.16/0.52	  ( skv_14 )
0.16/0.52	  ( skv_18 )
0.16/0.52	  ( skv_20 )
0.16/0.52	  ( skv_23 )
0.16/0.52	  ( skv_25 )
0.16/0.52	  ( skv_26 )
0.16/0.52	  ( skv_29 )
0.16/0.52	  ( skv_30 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((Xx0 a)) (or (not (ho_2 skv_19 Xx0)) (ho_2 (ho_6 (ho_5 k_4 skv_7) skv_8) Xx0)) )
0.16/0.52	  ( e_a_11 )
0.16/0.52	  ( skv_12 )
0.16/0.52	  ( skv_17 )
0.16/0.52	  ( skv_20 )
0.16/0.52	  ( skv_24 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((BOUND_VARIABLE_616 |u_(-> a Bool)|)) (or (not (ho_3 skv_7 BOUND_VARIABLE_616)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_616 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_2 BOUND_VARIABLE_616 skv_20))) )
0.16/0.52	  ( skv_8 )
0.16/0.52	  ( (let ((_let_0 (ho_5 k_4 skv_7))) (ho_6 _let_0 (ho_6 _let_0 skv_8))) )
0.16/0.52	  ( skv_27 )
0.16/0.52	  ( skv_28 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((Xx0 a)) (or (not (ho_2 skv_19 Xx0)) (ho_2 skv_8 Xx0)) )
0.16/0.52	  ( skv_25 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((BOUND_VARIABLE_562 |u_(-> a Bool)|) (BOUND_VARIABLE_551 |u_(-> a Bool)|)) (or (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_562 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_2 BOUND_VARIABLE_551 skv_21)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_551 Xx0)) (ho_2 BOUND_VARIABLE_562 Xx0)) )) (not (ho_3 skv_7 BOUND_VARIABLE_551))) )
0.16/0.52	  ( skv_8, skv_8 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((BOUND_VARIABLE_616 |u_(-> a Bool)|)) (or (not (ho_3 skv_7 BOUND_VARIABLE_616)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_616 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_2 BOUND_VARIABLE_616 skv_17))) )
0.16/0.52	  ( skv_27 )
0.16/0.52	  ( skv_28 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((Xx0 a)) (or (not (ho_2 skv_8 Xx0)) (ho_2 (ho_6 (ho_5 k_4 skv_7) skv_8) Xx0)) )
0.16/0.52	  ( skv_18 )
0.16/0.52	  ( skv_26 )
0.16/0.52	  ( skv_29 )
0.16/0.52	  ( skv_30 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((BOUND_VARIABLE_616 |u_(-> a Bool)|)) (or (not (ho_3 skv_7 BOUND_VARIABLE_616)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_616 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_2 BOUND_VARIABLE_616 skv_14))) )
0.16/0.52	  ( skv_27 )
0.16/0.52	  ( skv_28 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((BOUND_VARIABLE_616 |u_(-> a Bool)|)) (or (not (ho_3 skv_7 BOUND_VARIABLE_616)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_616 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_2 BOUND_VARIABLE_616 skv_18))) )
0.16/0.52	  ( skv_27 )
0.16/0.52	  ( skv_28 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((BOUND_VARIABLE_616 |u_(-> a Bool)|)) (or (not (ho_3 skv_7 BOUND_VARIABLE_616)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_616 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_2 BOUND_VARIABLE_616 skv_22))) )
0.16/0.52	  ( skv_27 )
0.16/0.52	  ( skv_28 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((BOUND_VARIABLE_616 |u_(-> a Bool)|)) (or (not (ho_3 skv_7 BOUND_VARIABLE_616)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_616 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_2 BOUND_VARIABLE_616 skv_24))) )
0.16/0.52	  ( skv_27 )
0.16/0.52	  ( skv_28 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((BOUND_VARIABLE_616 |u_(-> a Bool)|)) (or (not (ho_3 skv_7 BOUND_VARIABLE_616)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_616 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_2 BOUND_VARIABLE_616 skv_25))) )
0.16/0.52	  ( skv_27 )
0.16/0.52	  ( skv_28 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((BOUND_VARIABLE_616 |u_(-> a Bool)|)) (or (not (ho_3 skv_7 BOUND_VARIABLE_616)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_616 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_2 BOUND_VARIABLE_616 skv_26))) )
0.16/0.52	  ( skv_27 )
0.16/0.52	  ( skv_28 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((Xx0 a)) (or (not (ho_2 skv_27 Xx0)) (ho_2 skv_8 Xx0)) )
0.16/0.52	  ( e_a_11 )
0.16/0.52	  ( skv_12 )
0.16/0.52	  ( skv_14 )
0.16/0.52	  ( skv_17 )
0.16/0.52	  ( skv_18 )
0.16/0.52	  ( skv_20 )
0.16/0.52	  ( skv_22 )
0.16/0.52	  ( skv_24 )
0.16/0.52	  ( skv_25 )
0.16/0.52	  ( skv_26 )
0.16/0.52	  ( skv_29 )
0.16/0.52	  ( skv_30 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((Xx0 a)) (or (not (ho_2 skv_28 Xx0)) (ho_2 skv_8 Xx0)) )
0.16/0.52	  ( e_a_11 )
0.16/0.52	  ( skv_12 )
0.16/0.52	  ( skv_14 )
0.16/0.52	  ( skv_17 )
0.16/0.52	  ( skv_18 )
0.16/0.52	  ( skv_20 )
0.16/0.52	  ( skv_22 )
0.16/0.52	  ( skv_24 )
0.16/0.52	  ( skv_25 )
0.16/0.52	  ( skv_26 )
0.16/0.52	  ( skv_29 )
0.16/0.52	  ( skv_30 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((Xx0 a)) (or (not (ho_2 skv_27 Xx0)) (ho_2 (ho_6 (ho_5 k_4 skv_7) skv_8) Xx0)) )
0.16/0.52	  ( skv_30 )
0.16/0.52	)
0.16/0.52	(instantiation (forall ((Xx0 a)) (or (not (ho_2 skv_28 Xx0)) (ho_2 (ho_6 (ho_5 k_4 skv_7) skv_8) Xx0)) )
0.16/0.52	  ( skv_29 )
0.16/0.52	)
0.16/0.52	% SZS output end Proof for theBenchmark
0.16/0.52	EOF