0.11/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.13	% Command    : do_CVC4 %s
0.12/0.33	% Computer   : n007.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 11:53:36 EDT 2019
0.12/0.34	% CPUTime    : 
0.19/0.46	%----Proving TH0_NAR
0.19/0.46	------- cvc4-thf casc 27 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 180...
0.19/0.47	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
0.19/0.51	% SZS status Theorem for theBenchmark
0.19/0.51	% SZS output start Proof for theBenchmark
0.19/0.51	(skolem (forall ((Xx a)) (= (not (forall ((BOUND_VARIABLE_440 |u_(-> a Bool)|)) (or (not (ho_3 BOUND_VARIABLE_440 Xx)) (not (forall ((Xx0 a)) (or (not (ho_3 BOUND_VARIABLE_440 Xx0)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_440) Xx0)) ))) )) (ho_3 (ho_5 k_4 k_2) Xx)) )
0.19/0.51	  ( skv_6 )
0.19/0.51	)
0.19/0.51	(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))) )
0.19/0.51	  ( skv_7 )
0.19/0.51	)
0.19/0.51	(skolem (forall ((Xx a)) (or (not (ho_3 k_2 Xx)) (ho_3 (ho_5 k_4 k_2) Xx)) )
0.19/0.51	  ( skv_8 )
0.19/0.51	)
0.19/0.51	(skolem (forall ((BOUND_VARIABLE_476 |u_(-> a Bool)|)) (or (not (ho_3 BOUND_VARIABLE_476 skv_8)) (not (forall ((Xx1 a)) (or (not (ho_3 BOUND_VARIABLE_476 Xx1)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_476) Xx1)) ))) )
0.19/0.51	  ( skv_9 )
0.19/0.51	)
0.19/0.51	(skolem (forall ((Xx a)) (or (not (ho_3 (ho_5 k_4 k_2) Xx)) (ho_3 k_2 Xx)) )
0.19/0.51	  ( skv_10 )
0.19/0.51	)
0.19/0.51	(skolem (forall ((Xx a)) (or (not (ho_3 skv_9 Xx)) (ho_3 (ho_5 k_4 k_2) Xx)) )
0.19/0.51	  ( skv_11 )
0.19/0.51	)
0.19/0.51	(skolem (forall ((Xx a)) (or (not (ho_3 k_2 Xx)) (ho_3 skv_9 Xx)) )
0.19/0.51	  ( skv_12 )
0.19/0.51	)
0.19/0.51	(skolem (forall ((Xx a)) (or (not (ho_3 skv_9 Xx)) (ho_3 k_2 Xx)) )
0.19/0.51	  ( skv_13 )
0.19/0.51	)
0.19/0.51	(skolem (forall ((BOUND_VARIABLE_476 |u_(-> a Bool)|)) (or (not (ho_3 BOUND_VARIABLE_476 skv_12)) (not (forall ((Xx1 a)) (or (not (ho_3 BOUND_VARIABLE_476 Xx1)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_476) Xx1)) ))) )
0.19/0.51	  ( skv_14 )
0.19/0.51	)
0.19/0.51	(skolem (forall ((BOUND_VARIABLE_440 |u_(-> a Bool)|)) (or (not (ho_3 BOUND_VARIABLE_440 skv_6)) (not (forall ((Xx0 a)) (or (not (ho_3 BOUND_VARIABLE_440 Xx0)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_440) Xx0)) ))) )
0.19/0.51	  ( skv_15 )
0.19/0.51	)
0.19/0.51	(skolem (forall ((Xx1 a)) (or (not (ho_3 skv_9 Xx1)) (ho_3 (ho_5 k_4 skv_9) Xx1)) )
0.19/0.51	  ( skv_16 )
0.19/0.51	)
0.19/0.51	(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))) )
0.19/0.51	  ( skv_17 )
0.19/0.51	)
0.19/0.51	(instantiation (forall ((BOUND_VARIABLE_457 |u_(-> a Bool)|) (BOUND_VARIABLE_461 |u_(-> a Bool)|) (BOUND_VARIABLE_361 a)) (or (not (forall ((Xx a)) (or (not (ho_3 BOUND_VARIABLE_461 Xx)) (ho_3 BOUND_VARIABLE_457 Xx)) )) (not (ho_3 (ho_5 k_4 BOUND_VARIABLE_461) BOUND_VARIABLE_361)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_457) BOUND_VARIABLE_361)) )
0.19/0.51	  ( k_2, k_2, skv_8 )
0.19/0.51	  ( k_2, (ho_5 k_4 k_2), skv_6 )
0.19/0.51	  ( k_2, (ho_5 k_4 k_2), skv_7 )
0.19/0.51	  ( k_2, (ho_5 k_4 k_2), skv_8 )
0.19/0.51	  ( k_2, (ho_5 k_4 k_2), skv_11 )
0.19/0.51	  ( k_2, skv_9, skv_8 )
0.19/0.51	  ( k_2, skv_9, skv_11 )
0.19/0.51	  ( k_2, skv_15, skv_6 )
0.19/0.51	  ( (ho_5 k_4 k_2), k_2, skv_6 )
0.19/0.51	  ( (ho_5 k_4 k_2), k_2, skv_7 )
0.19/0.51	  ( (ho_5 k_4 k_2), (ho_5 k_4 k_2), skv_8 )
0.19/0.51	  ( (ho_5 k_4 k_2), (ho_5 k_4 k_2), skv_11 )
0.19/0.51	  ( (ho_5 k_4 k_2), skv_9, skv_6 )
0.19/0.51	  ( (ho_5 k_4 k_2), skv_9, skv_7 )
0.19/0.51	  ( (ho_5 k_4 k_2), skv_9, skv_8 )
0.19/0.51	  ( (ho_5 k_4 k_2), skv_9, skv_11 )
0.19/0.51	  ( skv_9, k_2, skv_6 )
0.19/0.51	  ( skv_9, k_2, skv_7 )
0.19/0.51	  ( skv_9, skv_9, skv_6 )
0.19/0.51	  ( skv_9, skv_9, skv_7 )
0.19/0.51	  ( skv_9, skv_9, skv_8 )
0.19/0.51	  ( skv_9, skv_9, skv_11 )
0.19/0.51	  ( (ho_5 k_4 skv_9), skv_9, skv_17 )
0.19/0.51	)
0.19/0.51	(instantiation (forall ((BOUND_VARIABLE_415 a)) (= (ho_3 k_2 BOUND_VARIABLE_415) (not (forall ((BOUND_VARIABLE_476 |u_(-> a Bool)|)) (or (not (ho_3 BOUND_VARIABLE_476 BOUND_VARIABLE_415)) (not (forall ((Xx1 a)) (or (not (ho_3 BOUND_VARIABLE_476 Xx1)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_476) Xx1)) ))) ))) )
0.19/0.51	  ( skv_6 )
0.19/0.51	  ( skv_7 )
0.19/0.51	  ( skv_8 )
0.19/0.51	  ( skv_10 )
0.19/0.51	  ( skv_11 )
0.19/0.51	  ( skv_12 )
0.19/0.51	  ( skv_13 )
0.19/0.51	)
0.19/0.51	(instantiation (forall ((BOUND_VARIABLE_440 |u_(-> a Bool)|)) (or (not (ho_3 BOUND_VARIABLE_440 skv_6)) (not (forall ((Xx0 a)) (or (not (ho_3 BOUND_VARIABLE_440 Xx0)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_440) Xx0)) ))) )
0.19/0.51	  ( (ho_5 k_4 k_2) )
0.19/0.51	  ( (ho_5 k_4 (ho_5 k_4 k_2)) )
0.19/0.51	  ( (ho_5 k_4 skv_9) )
0.19/0.51	)
0.19/0.51	(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))) )
0.19/0.51	  ( skv_8 )
0.19/0.51	  ( skv_12 )
0.19/0.51	)
0.19/0.51	(instantiation (forall ((Xx a)) (or (not (ho_3 k_2 Xx)) (ho_3 (ho_5 k_4 k_2) Xx)) )
0.19/0.51	  ( skv_6 )
0.19/0.51	  ( skv_7 )
0.19/0.51	  ( skv_11 )
0.19/0.51	  ( skv_12 )
0.19/0.51	)
0.19/0.51	(instantiation (forall ((BOUND_VARIABLE_476 |u_(-> a Bool)|)) (or (not (ho_3 BOUND_VARIABLE_476 skv_8)) (not (forall ((Xx1 a)) (or (not (ho_3 BOUND_VARIABLE_476 Xx1)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_476) Xx1)) ))) )
0.19/0.51	  ( (ho_5 k_4 k_2) )
0.19/0.51	  ( skv_9 )
0.19/0.51	  ( (ho_5 k_4 skv_9) )
0.19/0.51	)
0.19/0.51	(instantiation (forall ((Xx1 a)) (or (not (ho_3 skv_9 Xx1)) (ho_3 (ho_5 k_4 skv_9) Xx1)) )
0.19/0.51	  ( skv_6 )
0.19/0.51	  ( skv_7 )
0.19/0.51	  ( skv_8 )
0.19/0.51	  ( skv_11 )
0.19/0.51	  ( skv_13 )
0.19/0.51	)
0.19/0.51	(instantiation (forall ((Xx a)) (or (not (ho_3 (ho_5 k_4 k_2) Xx)) (ho_3 k_2 Xx)) )
0.19/0.51	  ( skv_8 )
0.19/0.51	  ( skv_13 )
0.19/0.51	)
0.19/0.51	(instantiation (forall ((BOUND_VARIABLE_476 |u_(-> a Bool)|)) (or (not (ho_3 BOUND_VARIABLE_476 skv_10)) (not (forall ((Xx1 a)) (or (not (ho_3 BOUND_VARIABLE_476 Xx1)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_476) Xx1)) ))) )
0.19/0.51	  ( (ho_5 k_4 k_2) )
0.19/0.51	)
0.19/0.51	(instantiation (forall ((Xx1 a)) (or (not (ho_3 skv_14 Xx1)) (ho_3 (ho_5 k_4 skv_14) Xx1)) )
0.19/0.51	  ( skv_12 )
0.19/0.51	)
0.19/0.51	(instantiation (forall ((BOUND_VARIABLE_476 |u_(-> a Bool)|)) (or (not (ho_3 BOUND_VARIABLE_476 skv_13)) (not (forall ((Xx1 a)) (or (not (ho_3 BOUND_VARIABLE_476 Xx1)) (ho_3 (ho_5 k_4 BOUND_VARIABLE_476) Xx1)) ))) )
0.19/0.51	  ( skv_9 )
0.19/0.51	  ( (ho_5 k_4 skv_9) )
0.19/0.51	)
0.19/0.51	(instantiation (forall ((Xx0 a)) (or (not (ho_3 skv_15 Xx0)) (ho_3 (ho_5 k_4 skv_15) Xx0)) )
0.19/0.51	  ( skv_6 )
0.19/0.51	)
0.19/0.51	% SZS output end Proof for theBenchmark
0.19/0.52	EOF