0.10/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.10/0.11	% Command    : do_CVC4 %s %d
0.10/0.31	% Computer   : n011.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
0.15/0.31	% CPULimit   : 960
0.15/0.31	% WCLimit    : 120
0.15/0.31	% DateTime   : Thu Jul  2 08:45:01 EDT 2020
0.15/0.31	% CPUTime    : 
0.16/0.42	%----Proving TH0
0.16/0.42	------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960...
0.16/0.42	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
0.16/0.47	% SZS status Theorem for theBenchmark
0.16/0.47	% SZS output start Proof for theBenchmark
0.16/0.47	(skolem (forall ((BOUND_VARIABLE_589 |u_(-> a Bool)|)) (or (not (ho_4 k_9 BOUND_VARIABLE_589)) (not (ho_3 BOUND_VARIABLE_589 t)) (not (forall ((BOUND_VARIABLE_531 |u_(-> a Bool)|)) (or (not (forall ((Xx0 a)) (or (not (ho_3 BOUND_VARIABLE_531 Xx0)) (ho_3 BOUND_VARIABLE_589 Xx0)) )) (not (forall ((BOUND_VARIABLE_573 |u_(-> a Bool)|)) (let ((_let_0 (ho_4 k_9 BOUND_VARIABLE_573))) (or (not (forall ((Xx0 a)) (or (not (ho_3 BOUND_VARIABLE_531 Xx0)) (ho_3 BOUND_VARIABLE_573 Xx0)) )) (not _let_0) (and (ho_3 BOUND_VARIABLE_573 t) _let_0))) )) (not (forall ((BOUND_VARIABLE_537 |u_(-> _u_(-> a Bool)_ Bool)|)) (or (not (forall ((BOUND_VARIABLE_546 |u_(-> a Bool)|) (BOUND_VARIABLE_421 a)) (or (not (ho_4 BOUND_VARIABLE_537 BOUND_VARIABLE_546)) (not (ho_3 BOUND_VARIABLE_531 BOUND_VARIABLE_421)) (ho_4 BOUND_VARIABLE_537 (ho_8 (ho_7 k_6 BOUND_VARIABLE_546) BOUND_VARIABLE_421))) )) (not (ho_4 BOUND_VARIABLE_537 k_5)) (ho_4 BOUND_VARIABLE_537 BOUND_VARIABLE_531)) ))) ))) )
0.16/0.47	  ( skv_10 )
0.16/0.47	)
0.16/0.47	(skolem (forall ((BOUND_VARIABLE_573 |u_(-> a Bool)|)) (let ((_let_0 (ho_4 k_9 BOUND_VARIABLE_573))) (or (not (forall ((Xx0 a)) (or (not (ho_3 skv_10 Xx0)) (ho_3 BOUND_VARIABLE_573 Xx0)) )) (not _let_0) (and (ho_3 BOUND_VARIABLE_573 t) _let_0))) )
0.16/0.47	  ( skv_13 )
0.16/0.47	)
0.16/0.47	(skolem (forall ((BOUND_VARIABLE_537 |u_(-> _u_(-> a Bool)_ Bool)|)) (or (not (forall ((BOUND_VARIABLE_546 |u_(-> a Bool)|) (BOUND_VARIABLE_421 a)) (or (not (ho_4 BOUND_VARIABLE_537 BOUND_VARIABLE_546)) (not (ho_3 skv_10 BOUND_VARIABLE_421)) (ho_4 BOUND_VARIABLE_537 (ho_8 (ho_7 k_6 BOUND_VARIABLE_546) BOUND_VARIABLE_421))) )) (not (ho_4 BOUND_VARIABLE_537 k_5)) (ho_4 BOUND_VARIABLE_537 skv_10)) )
0.16/0.47	  ( skv_14 )
0.16/0.47	)
0.16/0.47	(skolem (forall ((Xx0 a)) (or (not (ho_3 skv_10 Xx0)) (ho_3 skv_13 Xx0)) )
0.16/0.47	  ( skv_15 )
0.16/0.47	)
0.16/0.47	(skolem (forall ((Xx0 a)) (or (not (ho_3 skv_10 Xx0)) (ho_3 k_5 Xx0)) )
0.16/0.47	  ( skv_16 )
0.16/0.47	)
0.16/0.47	(skolem (forall ((Xx0 a)) (or (not (ho_3 skv_10 Xx0)) (ho_3 (ho_8 (ho_7 k_6 k_5) t) Xx0)) )
0.16/0.47	  ( skv_17 )
0.16/0.47	)
0.16/0.47	(skolem (forall ((z a)) (= (ho_3 skv_10 z) (ho_3 k_5 z)) )
0.16/0.47	  ( skv_18 )
0.16/0.47	)
0.16/0.47	(skolem (forall ((z |u_(-> a Bool)|)) (= (ho_4 k_9 z) (ho_4 skv_14 z)) )
0.16/0.47	  ( skv_19 )
0.16/0.47	)
0.16/0.47	(skolem (forall ((Xx0 a)) (or (not (ho_3 k_5 Xx0)) (ho_3 skv_10 Xx0)) )
0.16/0.47	  ( skv_20 )
0.16/0.47	)
0.16/0.47	(skolem (forall ((BOUND_VARIABLE_573 |u_(-> a Bool)|)) (let ((_let_0 (ho_4 k_9 BOUND_VARIABLE_573))) (or (not (forall ((Xx0 a)) (or (not (ho_3 k_5 Xx0)) (ho_3 BOUND_VARIABLE_573 Xx0)) )) (not _let_0) (and (ho_3 BOUND_VARIABLE_573 t) _let_0))) )
0.16/0.47	  ( skv_21 )
0.16/0.47	)
0.16/0.47	(skolem (forall ((Xx0 a)) (or (not (ho_3 skv_10 Xx0)) (ho_3 skv_21 Xx0)) )
0.16/0.47	  ( skv_22 )
0.16/0.47	)
0.16/0.47	(skolem (forall ((Xx0 a)) (or (not (ho_3 skv_10 Xx0)) (ho_3 (ho_8 (ho_7 k_6 k_5) skv_15) Xx0)) )
0.16/0.47	  ( skv_23 )
0.16/0.47	)
0.16/0.47	(skolem (forall ((Xx0 a)) (or (not (ho_3 (ho_8 (ho_7 k_6 k_5) t) Xx0)) (ho_3 skv_10 Xx0)) )
0.16/0.47	  ( skv_24 )
0.16/0.47	)
0.16/0.47	(skolem (forall ((BOUND_VARIABLE_573 |u_(-> a Bool)|)) (let ((_let_0 (ho_4 k_9 BOUND_VARIABLE_573))) (or (not (forall ((Xx0 a)) (or (not (ho_3 (ho_8 (ho_7 k_6 k_5) t) Xx0)) (ho_3 BOUND_VARIABLE_573 Xx0)) )) (not _let_0) (and (ho_3 BOUND_VARIABLE_573 t) _let_0))) )
0.16/0.47	  ( skv_25 )
0.16/0.47	)
0.16/0.47	(skolem (forall ((BOUND_VARIABLE_537 |u_(-> _u_(-> a Bool)_ Bool)|)) (or (not (forall ((BOUND_VARIABLE_546 |u_(-> a Bool)|) (BOUND_VARIABLE_421 a)) (or (not (ho_4 BOUND_VARIABLE_537 BOUND_VARIABLE_546)) (not (ho_3 (ho_8 (ho_7 k_6 k_5) t) BOUND_VARIABLE_421)) (ho_4 BOUND_VARIABLE_537 (ho_8 (ho_7 k_6 BOUND_VARIABLE_546) BOUND_VARIABLE_421))) )) (not (ho_4 BOUND_VARIABLE_537 k_5)) (ho_4 BOUND_VARIABLE_537 (ho_8 (ho_7 k_6 k_5) t))) )
0.16/0.47	  ( skv_26 )
0.16/0.47	)
0.16/0.47	(skolem (forall ((Xx0 a)) (or (not (ho_3 (ho_8 (ho_7 k_6 k_5) t) Xx0)) (ho_3 skv_25 Xx0)) )
0.16/0.47	  ( skv_27 )
0.16/0.47	)
0.16/0.47	(instantiation (forall ((BOUND_VARIABLE_609 |u_(-> a Bool)|) (BOUND_VARIABLE_514 a) (BOUND_VARIABLE_515 a)) (= (ho_3 (ho_8 (ho_7 k_6 BOUND_VARIABLE_609) BOUND_VARIABLE_514) BOUND_VARIABLE_515) (or (ho_3 BOUND_VARIABLE_609 BOUND_VARIABLE_515) (= BOUND_VARIABLE_514 BOUND_VARIABLE_515))) )
0.16/0.47	  ( k_5, t, t )
0.16/0.47	  ( k_5, t, skv_15 )
0.16/0.47	  ( k_5, t, skv_17 )
0.16/0.47	  ( k_5, t, skv_24 )
0.16/0.47	  ( k_5, skv_15, t )
0.16/0.47	  ( k_5, skv_15, skv_23 )
0.16/0.47	)
0.16/0.47	(instantiation (forall ((BOUND_VARIABLE_349 a)) (not (ho_3 k_5 BOUND_VARIABLE_349)) )
0.16/0.47	  ( t )
0.16/0.47	  ( skv_15 )
0.16/0.47	  ( skv_18 )
0.16/0.47	  ( skv_20 )
0.16/0.47	)
0.16/0.47	(instantiation (forall ((x |u_(-> _u_(-> a Bool)_ a a Bool)|) (y |u_(-> _u_(-> a Bool)_ a a Bool)|)) (or (not (forall ((z |u_(-> a Bool)|)) (= (ho_7 x z) (ho_7 y z)) )) (= x y)) )
0.16/0.47	  ( |e__u_(-> _u_(-> a Bool)_ a a Bool)__11|, |e__u_(-> _u_(-> a Bool)_ a a Bool)__11| )
0.16/0.47	)
0.16/0.47	(instantiation (forall ((x |u_(-> a a Bool)|) (y |u_(-> a a Bool)|)) (or (not (forall ((z a)) (= (ho_8 x z) (ho_8 y z)) )) (= x y)) )
0.16/0.47	  ( |e__u_(-> a a Bool)__12|, |e__u_(-> a a Bool)__12| )
0.16/0.47	)
0.16/0.47	(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)) )
0.16/0.47	  ( k_5, skv_10 )
0.16/0.47	  ( skv_10, k_5 )
0.16/0.47	)
0.16/0.47	(instantiation (forall ((x |u_(-> _u_(-> a Bool)_ Bool)|) (y |u_(-> _u_(-> a Bool)_ Bool)|)) (or (not (forall ((z |u_(-> a Bool)|)) (= (ho_4 x z) (ho_4 y z)) )) (= x y)) )
0.16/0.47	  ( k_9, skv_14 )
0.16/0.47	  ( skv_14, k_9 )
0.16/0.47	)
0.16/0.47	(instantiation (forall ((BOUND_VARIABLE_531 |u_(-> a Bool)|)) (or (not (forall ((Xx0 a)) (or (not (ho_3 BOUND_VARIABLE_531 Xx0)) (ho_3 skv_10 Xx0)) )) (not (forall ((BOUND_VARIABLE_573 |u_(-> a Bool)|)) (let ((_let_0 (ho_4 k_9 BOUND_VARIABLE_573))) (or (not (forall ((Xx0 a)) (or (not (ho_3 BOUND_VARIABLE_531 Xx0)) (ho_3 BOUND_VARIABLE_573 Xx0)) )) (not _let_0) (and (ho_3 BOUND_VARIABLE_573 t) _let_0))) )) (not (forall ((BOUND_VARIABLE_537 |u_(-> _u_(-> a Bool)_ Bool)|)) (or (not (forall ((BOUND_VARIABLE_546 |u_(-> a Bool)|) (BOUND_VARIABLE_421 a)) (or (not (ho_4 BOUND_VARIABLE_537 BOUND_VARIABLE_546)) (not (ho_3 BOUND_VARIABLE_531 BOUND_VARIABLE_421)) (ho_4 BOUND_VARIABLE_537 (ho_8 (ho_7 k_6 BOUND_VARIABLE_546) BOUND_VARIABLE_421))) )) (not (ho_4 BOUND_VARIABLE_537 k_5)) (ho_4 BOUND_VARIABLE_537 BOUND_VARIABLE_531)) ))) )
0.16/0.47	  ( k_5 )
0.16/0.47	  ( skv_10 )
0.16/0.47	  ( (ho_8 (ho_7 k_6 k_5) t) )
0.16/0.47	)
0.16/0.47	(instantiation (forall ((BOUND_VARIABLE_573 |u_(-> a Bool)|)) (let ((_let_0 (ho_4 k_9 BOUND_VARIABLE_573))) (or (not (forall ((Xx0 a)) (or (not (ho_3 skv_10 Xx0)) (ho_3 BOUND_VARIABLE_573 Xx0)) )) (not _let_0) (and (ho_3 BOUND_VARIABLE_573 t) _let_0))) )
0.16/0.47	  ( k_5 )
0.16/0.47	  ( (ho_8 (ho_7 k_6 k_5) t) )
0.16/0.47	  ( skv_13 )
0.16/0.47	  ( (ho_8 (ho_7 k_6 k_5) skv_15) )
0.16/0.47	  ( skv_21 )
0.16/0.47	)
0.16/0.47	(instantiation (forall ((Xx0 a)) (or (not (ho_3 skv_10 Xx0)) (ho_3 skv_13 Xx0)) )
0.16/0.47	  ( t )
0.16/0.47	)
0.16/0.47	(instantiation (forall ((BOUND_VARIABLE_546 |u_(-> a Bool)|) (BOUND_VARIABLE_421 a)) (or (not (ho_4 skv_14 BOUND_VARIABLE_546)) (not (ho_3 skv_10 BOUND_VARIABLE_421)) (ho_4 skv_14 (ho_8 (ho_7 k_6 BOUND_VARIABLE_546) BOUND_VARIABLE_421))) )
0.16/0.47	  ( k_5, t )
0.16/0.47	  ( k_5, skv_15 )
0.16/0.47	  ( k_5, skv_16 )
0.16/0.47	)
0.16/0.47	(instantiation (forall ((Xx0 a)) (or (not (ho_3 k_5 Xx0)) (ho_3 skv_10 Xx0)) )
0.16/0.47	  ( skv_24 )
0.16/0.47	)
0.16/0.47	(instantiation (forall ((Xx0 a)) (or (not (ho_3 k_5 Xx0)) (ho_3 skv_21 Xx0)) )
0.16/0.47	  ( skv_22 )
0.16/0.47	)
0.16/0.47	(instantiation (forall ((Xx0 a)) (or (not (ho_3 (ho_8 (ho_7 k_6 k_5) t) Xx0)) (ho_3 skv_25 Xx0)) )
0.16/0.47	  ( t )
0.16/0.47	)
0.16/0.47	(instantiation (forall ((BOUND_VARIABLE_546 |u_(-> a Bool)|) (BOUND_VARIABLE_421 a)) (or (not (ho_4 skv_26 BOUND_VARIABLE_546)) (not (ho_3 (ho_8 (ho_7 k_6 k_5) t) BOUND_VARIABLE_421)) (ho_4 skv_26 (ho_8 (ho_7 k_6 BOUND_VARIABLE_546) BOUND_VARIABLE_421))) )
0.16/0.47	  ( k_5, t )
0.16/0.47	)
0.16/0.47	% SZS output end Proof for theBenchmark
0.16/0.47	EOF