0.11/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.12	% Command    : do_CVC4 %s
0.13/0.33	% Computer   : n023.cluster.edu
0.13/0.33	% Model      : x86_64 x86_64
0.13/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.33	% Memory     : 8042.1875MB
0.13/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.33	% CPULimit   : 180
0.13/0.33	% DateTime   : Thu Aug 29 11:35:22 EDT 2019
0.13/0.34	% CPUTime    : 
0.18/0.46	%----Proving TH0_NAR
0.18/0.46	------- cvc4-thf casc 27 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 180...
0.18/0.46	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
0.45/0.67	% SZS status Theorem for theBenchmark
0.45/0.67	% SZS output start Proof for theBenchmark
0.45/0.67	(skolem (forall ((BOUND_VARIABLE_367 |u_(-> a Bool)|) (BOUND_VARIABLE_370 |u_(-> a Bool)|)) (= (ho_6 (ho_5 k_4 BOUND_VARIABLE_370) BOUND_VARIABLE_367) (ho_6 (ho_5 k_7 BOUND_VARIABLE_367) BOUND_VARIABLE_370)) )
0.45/0.67	  ( skv_8 skv_9 )
0.45/0.67	)
0.45/0.67	(skolem (forall ((z |u_(-> a Bool)|)) (= (ho_5 k_7 z) (ho_5 k_4 z)) )
0.45/0.67	  ( skv_11 )
0.45/0.67	)
0.45/0.67	(skolem (forall ((z a)) (= (ho_3 skv_9 z) (ho_3 skv_8 z)) )
0.45/0.67	  ( skv_12 )
0.45/0.67	)
0.45/0.67	(skolem (forall ((z |u_(-> a Bool)|)) (= (ho_6 (ho_5 k_7 skv_8) z) (ho_6 (ho_5 k_4 skv_9) z)) )
0.45/0.67	  ( skv_13 )
0.45/0.67	)
0.45/0.67	(skolem (forall ((z |u_(-> a Bool)|)) (= (ho_6 (ho_5 k_7 skv_8) z) (ho_6 (ho_5 k_4 skv_8) z)) )
0.45/0.67	  ( skv_14 )
0.45/0.67	)
0.45/0.67	(skolem (forall ((z a)) (= (ho_3 skv_9 z) (ho_3 (ho_6 (ho_5 k_7 skv_8) skv_9) z)) )
0.45/0.67	  ( skv_15 )
0.45/0.67	)
0.45/0.67	(skolem (forall ((z |u_(-> a Bool)|)) (= (ho_6 (ho_5 k_4 skv_9) z) (ho_6 (ho_5 k_4 skv_8) z)) )
0.45/0.67	  ( skv_16 )
0.45/0.67	)
0.45/0.67	(skolem (forall ((z a)) (= (ho_3 skv_8 z) (ho_3 (ho_6 (ho_5 k_7 skv_8) skv_9) z)) )
0.45/0.67	  ( skv_17 )
0.45/0.67	)
0.45/0.67	(skolem (forall ((z |u_(-> a Bool)|)) (= (ho_6 (ho_5 k_7 skv_8) z) (ho_6 (ho_5 k_4 skv_11) z)) )
0.45/0.67	  ( skv_18 )
0.45/0.67	)
0.45/0.67	(skolem (forall ((z |u_(-> a Bool)|)) (= (ho_6 (ho_5 k_4 skv_9) z) (ho_6 (ho_5 k_4 skv_11) z)) )
0.45/0.67	  ( skv_19 )
0.45/0.67	)
0.45/0.67	(skolem (forall ((z |u_(-> a Bool)|)) (= (ho_6 (ho_5 k_4 skv_8) z) (ho_6 (ho_5 k_4 skv_11) z)) )
0.45/0.67	  ( skv_20 )
0.45/0.67	)
0.45/0.67	(skolem (forall ((z a)) (= (ho_3 skv_9 z) (ho_3 (ho_6 (ho_5 k_4 skv_9) skv_8) z)) )
0.45/0.67	  ( skv_21 )
0.45/0.67	)
0.45/0.67	(skolem (forall ((z |u_(-> a Bool)|)) (= (ho_6 (ho_5 k_7 skv_8) z) (ho_6 (ho_5 k_7 skv_11) z)) )
0.45/0.67	  ( skv_22 )
0.45/0.67	)
0.45/0.67	(skolem (forall ((z a)) (= (ho_3 skv_8 z) (ho_3 (ho_6 (ho_5 k_4 skv_9) skv_8) z)) )
0.45/0.67	  ( skv_23 )
0.45/0.67	)
0.45/0.67	(skolem (forall ((z |u_(-> a Bool)|)) (= (ho_6 (ho_5 k_4 skv_9) z) (ho_6 (ho_5 k_7 skv_11) z)) )
0.45/0.67	  ( skv_24 )
0.45/0.67	)
0.45/0.67	(skolem (forall ((z a)) (= (ho_3 (ho_6 (ho_5 k_7 skv_8) skv_9) z) (ho_3 (ho_6 (ho_5 k_4 skv_9) skv_8) z)) )
0.45/0.67	  ( skv_25 )
0.45/0.67	)
0.45/0.67	(skolem (forall ((z |u_(-> a Bool)|)) (= (ho_6 (ho_5 k_4 skv_8) z) (ho_6 (ho_5 k_7 skv_11) z)) )
0.45/0.67	  ( skv_26 )
0.45/0.67	)
0.45/0.67	(instantiation (forall ((BOUND_VARIABLE_394 |u_(-> a Bool)|) (BOUND_VARIABLE_391 |u_(-> a Bool)|) (BOUND_VARIABLE_351 a)) (let ((_let_0 (ho_3 BOUND_VARIABLE_391 BOUND_VARIABLE_351))) (let ((_let_1 (ho_3 BOUND_VARIABLE_394 BOUND_VARIABLE_351))) (= (ho_3 (ho_6 (ho_5 k_4 BOUND_VARIABLE_394) BOUND_VARIABLE_391) BOUND_VARIABLE_351) (or (and _let_0 (not _let_1)) (and _let_1 (not _let_0)) (and _let_1 _let_0))))) )
0.45/0.67	  ( skv_8, skv_8, e_a_10 )
0.45/0.67	  ( skv_8, skv_9, e_a_10 )
0.45/0.67	  ( skv_8, skv_11, e_a_10 )
0.45/0.67	  ( skv_9, skv_8, e_a_10 )
0.45/0.67	  ( skv_9, skv_8, skv_21 )
0.45/0.67	  ( skv_9, skv_8, skv_23 )
0.45/0.67	  ( skv_9, skv_8, skv_25 )
0.45/0.67	  ( skv_9, skv_9, e_a_10 )
0.45/0.67	  ( skv_9, skv_11, e_a_10 )
0.45/0.67	  ( skv_11, skv_8, e_a_10 )
0.45/0.67	  ( skv_11, skv_9, e_a_10 )
0.45/0.67	  ( skv_11, skv_11, e_a_10 )
0.45/0.67	)
0.45/0.67	(instantiation (forall ((BOUND_VARIABLE_415 |u_(-> a Bool)|) (BOUND_VARIABLE_412 |u_(-> a Bool)|) (BOUND_VARIABLE_341 a)) (= (ho_3 (ho_6 (ho_5 k_7 BOUND_VARIABLE_415) BOUND_VARIABLE_412) BOUND_VARIABLE_341) (or (ho_3 BOUND_VARIABLE_415 BOUND_VARIABLE_341) (ho_3 BOUND_VARIABLE_412 BOUND_VARIABLE_341))) )
0.45/0.67	  ( skv_8, skv_8, e_a_10 )
0.45/0.67	  ( skv_8, skv_9, e_a_10 )
0.45/0.67	  ( skv_8, skv_9, skv_15 )
0.45/0.67	  ( skv_8, skv_9, skv_17 )
0.45/0.67	  ( skv_8, skv_9, skv_25 )
0.45/0.67	  ( skv_8, skv_11, e_a_10 )
0.45/0.67	  ( skv_9, skv_8, e_a_10 )
0.45/0.67	  ( skv_9, skv_9, e_a_10 )
0.45/0.67	  ( skv_9, skv_11, e_a_10 )
0.45/0.67	  ( skv_11, skv_8, e_a_10 )
0.45/0.67	  ( skv_11, skv_9, e_a_10 )
0.45/0.67	  ( skv_11, skv_11, e_a_10 )
0.45/0.67	)
0.45/0.67	(instantiation (forall ((x |u_(-> |u_(-> a Bool)| |u_(-> a Bool)| a Bool)|) (y |u_(-> |u_(-> a Bool)| |u_(-> a Bool)| a Bool)|)) (or (not (forall ((z |u_(-> a Bool)|)) (= (ho_5 x z) (ho_5 y z)) )) (= x y)) )
0.45/0.67	  ( k_4, k_7 )
0.45/0.67	  ( k_7, k_4 )
0.45/0.67	)
0.45/0.67	(instantiation (forall ((x |u_(-> a Bool)|) (y |u_(-> a Bool)|)) (or (not (forall ((z a)) (= (ho_3 x z) (ho_3 y z)) )) (= x y)) )
0.45/0.67	  ( skv_8, skv_9 )
0.45/0.67	  ( skv_8, (ho_6 (ho_5 k_4 skv_9) skv_8) )
0.45/0.67	  ( skv_8, (ho_6 (ho_5 k_7 skv_8) skv_9) )
0.45/0.67	  ( skv_9, skv_8 )
0.45/0.67	  ( skv_9, (ho_6 (ho_5 k_4 skv_9) skv_8) )
0.45/0.67	  ( skv_9, (ho_6 (ho_5 k_7 skv_8) skv_9) )
0.45/0.67	  ( (ho_6 (ho_5 k_7 skv_8) skv_9), skv_8 )
0.45/0.67	  ( (ho_6 (ho_5 k_7 skv_8) skv_9), skv_9 )
0.45/0.67	  ( (ho_6 (ho_5 k_7 skv_8) skv_9), (ho_6 (ho_5 k_4 skv_9) skv_8) )
0.45/0.67	)
0.45/0.67	(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)) )
0.45/0.67	  ( (ho_5 k_4 skv_9), (ho_5 k_7 skv_8) )
0.45/0.67	  ( (ho_5 k_4 skv_9), (ho_5 k_4 skv_8) )
0.45/0.67	  ( (ho_5 k_4 skv_9), (ho_5 k_7 skv_11) )
0.45/0.67	  ( (ho_5 k_4 skv_9), (ho_5 k_4 skv_11) )
0.45/0.67	  ( (ho_5 k_7 skv_8), (ho_5 k_4 skv_9) )
0.45/0.67	  ( (ho_5 k_7 skv_8), (ho_5 k_4 skv_8) )
0.45/0.67	  ( (ho_5 k_7 skv_8), (ho_5 k_7 skv_11) )
0.45/0.67	  ( (ho_5 k_7 skv_8), (ho_5 k_4 skv_11) )
0.45/0.67	  ( (ho_5 k_4 skv_8), (ho_5 k_4 skv_9) )
0.45/0.67	  ( (ho_5 k_4 skv_8), (ho_5 k_7 skv_8) )
0.45/0.67	  ( (ho_5 k_4 skv_8), (ho_5 k_7 skv_11) )
0.45/0.67	  ( (ho_5 k_4 skv_8), (ho_5 k_4 skv_11) )
0.45/0.67	  ( (ho_5 k_4 skv_11), (ho_5 k_4 skv_9) )
0.45/0.67	  ( (ho_5 k_4 skv_11), (ho_5 k_7 skv_8) )
0.45/0.67	  ( (ho_5 k_4 skv_11), (ho_5 k_4 skv_8) )
0.45/0.67	)
0.45/0.67	% SZS output end Proof for theBenchmark
0.45/0.67	EOF