0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command    : do_CVC4 %s
0.13/0.34	% Computer   : n025.cluster.edu
0.13/0.34	% Model      : x86_64 x86_64
0.13/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory     : 8042.1875MB
0.13/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 180
0.13/0.34	% DateTime   : Thu Aug 29 16:07:45 EDT 2019
0.13/0.34	% CPUTime    : 
0.19/0.46	%----Proving TH0_NAR
0.19/0.47	------- 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...
0.19/0.53	% SZS status Theorem for theBenchmark
0.19/0.53	% SZS output start Proof for theBenchmark
0.19/0.53	(skolem (forall ((BOUND_VARIABLE_546 |u_(-> |u_(-> a Bool)| Bool)|) (BOUND_VARIABLE_540 |u_(-> a Bool)|)) (or (not (forall ((BOUND_VARIABLE_583 |u_(-> a Bool)|)) (ho_3 BOUND_VARIABLE_546 (ho_6 (ho_5 k_4 BOUND_VARIABLE_583) BOUND_VARIABLE_546)) )) (= (forall ((Xx a)) (or (not (ho_2 BOUND_VARIABLE_540 Xx)) (not (forall ((BOUND_VARIABLE_554 |u_(-> a Bool)|) (BOUND_VARIABLE_551 |u_(-> a Bool)|)) (or (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_554 Xx0)) (ho_2 BOUND_VARIABLE_540 Xx0)) )) (not (ho_3 BOUND_VARIABLE_546 BOUND_VARIABLE_551)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_551 Xx0)) (ho_2 BOUND_VARIABLE_554 Xx0)) )) (not (ho_2 BOUND_VARIABLE_551 Xx))) ))) ) (ho_3 BOUND_VARIABLE_546 BOUND_VARIABLE_540))) )
0.19/0.53	  ( skv_7 skv_8 )
0.19/0.53	)
0.19/0.53	(skolem (forall ((Xx a)) (or (not (ho_2 skv_8 Xx)) (not (forall ((BOUND_VARIABLE_554 |u_(-> a Bool)|) (BOUND_VARIABLE_551 |u_(-> a Bool)|)) (or (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_554 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_3 skv_7 BOUND_VARIABLE_551)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_551 Xx0)) (ho_2 BOUND_VARIABLE_554 Xx0)) )) (not (ho_2 BOUND_VARIABLE_551 Xx))) ))) )
0.19/0.53	  ( skv_9 )
0.19/0.53	)
0.19/0.53	(skolem (forall ((BOUND_VARIABLE_554 |u_(-> a Bool)|) (BOUND_VARIABLE_551 |u_(-> a Bool)|)) (or (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_554 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_3 skv_7 BOUND_VARIABLE_551)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_551 Xx0)) (ho_2 BOUND_VARIABLE_554 Xx0)) )) (not (ho_2 BOUND_VARIABLE_551 skv_9))) )
0.19/0.53	  ( skv_12 skv_13 )
0.19/0.53	)
0.19/0.53	(skolem (forall ((Xx0 a)) (or (not (ho_2 skv_13 Xx0)) (ho_2 skv_8 Xx0)) )
0.19/0.53	  ( skv_14 )
0.19/0.53	)
0.19/0.53	(skolem (forall ((Xx0 a)) (or (not (ho_2 skv_12 Xx0)) (ho_2 skv_8 Xx0)) )
0.19/0.53	  ( skv_15 )
0.19/0.53	)
0.19/0.53	(skolem (forall ((Xx0 a)) (or (not (ho_2 skv_13 Xx0)) (ho_2 skv_12 Xx0)) )
0.19/0.53	  ( skv_16 )
0.19/0.53	)
0.19/0.53	(skolem (forall ((BOUND_VARIABLE_554 |u_(-> a Bool)|) (BOUND_VARIABLE_551 |u_(-> a Bool)|)) (or (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_554 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_3 skv_7 BOUND_VARIABLE_551)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_551 Xx0)) (ho_2 BOUND_VARIABLE_554 Xx0)) )) (not (ho_2 BOUND_VARIABLE_551 skv_16))) )
0.19/0.53	  ( skv_17 skv_18 )
0.19/0.53	)
0.19/0.53	(skolem (forall ((z a)) (= (ho_2 skv_8 z) (ho_2 (ho_6 (ho_5 k_4 skv_8) skv_7) z)) )
0.19/0.53	  ( skv_19 )
0.19/0.53	)
0.19/0.53	(skolem (forall ((BOUND_VARIABLE_606 |u_(-> a Bool)|)) (or (not (ho_2 BOUND_VARIABLE_606 skv_19)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_606 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_3 skv_7 BOUND_VARIABLE_606))) )
0.19/0.53	  ( skv_20 )
0.19/0.53	)
0.19/0.53	(skolem (forall ((Xx0 a)) (or (not (ho_2 skv_20 Xx0)) (ho_2 skv_8 Xx0)) )
0.19/0.53	  ( skv_21 )
0.19/0.53	)
0.19/0.53	(skolem (forall ((BOUND_VARIABLE_554 |u_(-> a Bool)|) (BOUND_VARIABLE_551 |u_(-> a Bool)|)) (or (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_554 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_3 skv_7 BOUND_VARIABLE_551)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_551 Xx0)) (ho_2 BOUND_VARIABLE_554 Xx0)) )) (not (ho_2 BOUND_VARIABLE_551 skv_19))) )
0.19/0.53	  ( skv_22 skv_23 )
0.19/0.53	)
0.19/0.53	(skolem (forall ((Xx0 a)) (or (not (ho_2 skv_23 Xx0)) (ho_2 skv_8 Xx0)) )
0.19/0.53	  ( skv_24 )
0.19/0.53	)
0.19/0.53	(instantiation (forall ((BOUND_VARIABLE_611 |u_(-> a Bool)|) (BOUND_VARIABLE_607 |u_(-> |u_(-> a Bool)| Bool)|) (BOUND_VARIABLE_520 a)) (= (ho_2 (ho_6 (ho_5 k_4 BOUND_VARIABLE_611) BOUND_VARIABLE_607) BOUND_VARIABLE_520) (not (forall ((BOUND_VARIABLE_606 |u_(-> a Bool)|)) (or (not (ho_2 BOUND_VARIABLE_606 BOUND_VARIABLE_520)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_606 Xx0)) (ho_2 BOUND_VARIABLE_611 Xx0)) )) (not (ho_3 BOUND_VARIABLE_607 BOUND_VARIABLE_606))) ))) )
0.19/0.53	  ( skv_8, skv_7, skv_9 )
0.19/0.53	  ( skv_8, skv_7, skv_14 )
0.19/0.53	  ( skv_8, skv_7, skv_19 )
0.19/0.53	  ( (ho_6 (ho_5 k_4 skv_8) skv_7), skv_7, skv_9 )
0.19/0.53	  ( (ho_6 (ho_5 k_4 skv_8) skv_7), skv_7, skv_14 )
0.19/0.53	  ( (ho_6 (ho_5 k_4 skv_8) skv_7), skv_7, skv_19 )
0.19/0.53	)
0.19/0.53	(instantiation (forall ((x |u_(-> |u_(-> a Bool)| |u_(-> |u_(-> a Bool)| Bool)| a Bool)|) (y |u_(-> |u_(-> a Bool)| |u_(-> |u_(-> a Bool)| Bool)| a Bool)|)) (or (not (forall ((z |u_(-> a Bool)|)) (= (ho_5 x z) (ho_5 y z)) )) (= x y)) )
0.19/0.53	  ( |e_|u_(-> |u_(-> a Bool)| |u_(-> |u_(-> a Bool)| Bool)| a Bool)|_10|, |e_|u_(-> |u_(-> a Bool)| |u_(-> |u_(-> a Bool)| Bool)| a Bool)|_10| )
0.19/0.53	)
0.19/0.53	(instantiation (forall ((x |u_(-> |u_(-> |u_(-> a Bool)| Bool)| a Bool)|) (y |u_(-> |u_(-> |u_(-> a Bool)| Bool)| a Bool)|)) (or (not (forall ((z |u_(-> |u_(-> a Bool)| Bool)|)) (= (ho_6 x z) (ho_6 y z)) )) (= x y)) )
0.19/0.53	  ( |e_|u_(-> |u_(-> |u_(-> a Bool)| Bool)| a Bool)|_11|, |e_|u_(-> |u_(-> |u_(-> a Bool)| Bool)| a Bool)|_11| )
0.19/0.53	)
0.19/0.53	(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)) )
0.19/0.53	  ( skv_8, (ho_6 (ho_5 k_4 skv_8) skv_7) )
0.19/0.53	)
0.19/0.53	(instantiation (forall ((BOUND_VARIABLE_583 |u_(-> a Bool)|)) (ho_3 skv_7 (ho_6 (ho_5 k_4 BOUND_VARIABLE_583) skv_7)) )
0.19/0.53	  ( skv_8 )
0.19/0.53	  ( (ho_6 (ho_5 k_4 skv_8) skv_7) )
0.19/0.53	)
0.19/0.53	(instantiation (forall ((Xx a)) (or (not (ho_2 skv_8 Xx)) (not (forall ((BOUND_VARIABLE_554 |u_(-> a Bool)|) (BOUND_VARIABLE_551 |u_(-> a Bool)|)) (or (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_554 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_3 skv_7 BOUND_VARIABLE_551)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_551 Xx0)) (ho_2 BOUND_VARIABLE_554 Xx0)) )) (not (ho_2 BOUND_VARIABLE_551 Xx))) ))) )
0.19/0.53	  ( skv_9 )
0.19/0.53	  ( skv_14 )
0.19/0.53	  ( skv_16 )
0.19/0.53	  ( skv_19 )
0.19/0.53	)
0.19/0.53	(instantiation (forall ((BOUND_VARIABLE_554 |u_(-> a Bool)|) (BOUND_VARIABLE_551 |u_(-> a Bool)|)) (or (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_554 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_3 skv_7 BOUND_VARIABLE_551)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_551 Xx0)) (ho_2 BOUND_VARIABLE_554 Xx0)) )) (not (ho_2 BOUND_VARIABLE_551 skv_9))) )
0.19/0.53	  ( skv_8, skv_8 )
0.19/0.53	)
0.19/0.53	(instantiation (forall ((BOUND_VARIABLE_606 |u_(-> a Bool)|)) (or (not (ho_2 BOUND_VARIABLE_606 skv_9)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_606 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_3 skv_7 BOUND_VARIABLE_606))) )
0.19/0.53	  ( skv_12 )
0.19/0.53	  ( skv_13 )
0.19/0.53	  ( skv_18 )
0.19/0.53	  ( (ho_6 (ho_5 k_4 (ho_6 (ho_5 k_4 skv_8) skv_7)) skv_7) )
0.19/0.53	  ( skv_20 )
0.19/0.53	  ( skv_23 )
0.19/0.53	)
0.19/0.53	(instantiation (forall ((Xx0 a)) (or (not (ho_2 skv_12 Xx0)) (ho_2 skv_8 Xx0)) )
0.19/0.53	  ( skv_9 )
0.19/0.53	  ( skv_14 )
0.19/0.53	)
0.19/0.53	(instantiation (forall ((Xx0 a)) (or (not (ho_2 skv_13 Xx0)) (ho_2 skv_12 Xx0)) )
0.19/0.53	  ( skv_9 )
0.19/0.53	  ( skv_14 )
0.19/0.53	)
0.19/0.53	(instantiation (forall ((Xx0 a)) (or (not (ho_2 skv_13 Xx0)) (ho_2 skv_8 Xx0)) )
0.19/0.53	  ( skv_14 )
0.19/0.53	  ( skv_15 )
0.19/0.53	  ( skv_16 )
0.19/0.53	  ( skv_19 )
0.19/0.53	  ( skv_21 )
0.19/0.53	  ( skv_24 )
0.19/0.53	)
0.19/0.53	(instantiation (forall ((Xx0 a)) (or (not (ho_2 skv_17 Xx0)) (ho_2 skv_8 Xx0)) )
0.19/0.53	  ( skv_9 )
0.19/0.53	  ( skv_14 )
0.19/0.53	  ( skv_15 )
0.19/0.53	  ( skv_19 )
0.19/0.53	  ( skv_21 )
0.19/0.53	  ( skv_24 )
0.19/0.53	)
0.19/0.53	(instantiation (forall ((Xx0 a)) (or (not (ho_2 skv_18 Xx0)) (ho_2 skv_17 Xx0)) )
0.19/0.53	  ( skv_14 )
0.19/0.53	  ( skv_15 )
0.19/0.53	  ( skv_16 )
0.19/0.53	  ( skv_19 )
0.19/0.53	  ( skv_21 )
0.19/0.53	)
0.19/0.53	(instantiation (forall ((BOUND_VARIABLE_606 |u_(-> a Bool)|)) (or (not (ho_2 BOUND_VARIABLE_606 skv_14)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_606 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_3 skv_7 BOUND_VARIABLE_606))) )
0.19/0.53	  ( skv_12 )
0.19/0.53	  ( (ho_6 (ho_5 k_4 (ho_6 (ho_5 k_4 skv_8) skv_7)) skv_7) )
0.19/0.53	  ( skv_20 )
0.19/0.53	  ( skv_23 )
0.19/0.53	)
0.19/0.53	(instantiation (forall ((BOUND_VARIABLE_606 |u_(-> a Bool)|)) (or (not (ho_2 BOUND_VARIABLE_606 skv_19)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_606 Xx0)) (ho_2 skv_8 Xx0)) )) (not (ho_3 skv_7 BOUND_VARIABLE_606))) )
0.19/0.53	  ( skv_12 )
0.19/0.53	  ( skv_18 )
0.19/0.53	  ( (ho_6 (ho_5 k_4 (ho_6 (ho_5 k_4 skv_8) skv_7)) skv_7) )
0.19/0.53	  ( skv_20 )
0.19/0.53	  ( skv_22 )
0.19/0.53	  ( skv_23 )
0.19/0.53	)
0.19/0.53	(instantiation (forall ((Xx0 a)) (or (not (ho_2 skv_20 Xx0)) (ho_2 skv_8 Xx0)) )
0.19/0.53	  ( skv_19 )
0.19/0.53	)
0.19/0.53	(instantiation (forall ((BOUND_VARIABLE_606 |u_(-> a Bool)|)) (or (not (ho_2 BOUND_VARIABLE_606 skv_9)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_606 Xx0)) (ho_2 (ho_6 (ho_5 k_4 skv_8) skv_7) Xx0)) )) (not (ho_3 skv_7 BOUND_VARIABLE_606))) )
0.19/0.53	  ( skv_23 )
0.19/0.53	)
0.19/0.53	(instantiation (forall ((BOUND_VARIABLE_606 |u_(-> a Bool)|)) (or (not (ho_2 BOUND_VARIABLE_606 skv_14)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_606 Xx0)) (ho_2 (ho_6 (ho_5 k_4 skv_8) skv_7) Xx0)) )) (not (ho_3 skv_7 BOUND_VARIABLE_606))) )
0.19/0.53	  ( skv_23 )
0.19/0.53	)
0.19/0.53	(instantiation (forall ((Xx0 a)) (or (not (ho_2 skv_22 Xx0)) (ho_2 skv_8 Xx0)) )
0.19/0.53	  ( skv_9 )
0.19/0.53	  ( skv_14 )
0.19/0.53	  ( skv_15 )
0.19/0.53	  ( skv_21 )
0.19/0.53	  ( skv_24 )
0.19/0.53	)
0.19/0.53	(instantiation (forall ((Xx0 a)) (or (not (ho_2 skv_23 Xx0)) (ho_2 skv_22 Xx0)) )
0.19/0.53	  ( skv_15 )
0.19/0.53	  ( skv_19 )
0.19/0.53	  ( skv_21 )
0.19/0.53	  ( skv_24 )
0.19/0.53	)
0.19/0.53	(instantiation (forall ((BOUND_VARIABLE_606 |u_(-> a Bool)|)) (or (not (ho_2 BOUND_VARIABLE_606 skv_19)) (not (forall ((Xx0 a)) (or (not (ho_2 BOUND_VARIABLE_606 Xx0)) (ho_2 (ho_6 (ho_5 k_4 skv_8) skv_7) Xx0)) )) (not (ho_3 skv_7 BOUND_VARIABLE_606))) )
0.19/0.53	  ( skv_22 )
0.19/0.53	  ( skv_23 )
0.19/0.53	)
0.19/0.53	% SZS output end Proof for theBenchmark
0.19/0.54	EOF