0.03/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.13	% Command    : do_CVC4 %s %d
0.12/0.35	% Computer   : n004.cluster.edu
0.12/0.35	% Model      : x86_64 x86_64
0.12/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.35	% Memory     : 8042.1875MB
0.12/0.35	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.35	% CPULimit   : 960
0.12/0.35	% WCLimit    : 120
0.12/0.35	% DateTime   : Thu Jul  2 07:03:29 EDT 2020
0.12/0.35	% CPUTime    : 
0.19/0.47	%----Proving TH0
0.19/0.47	------- cvc4-thf casc j10 : /export/starexec/sandbox/benchmark/theBenchmark.p at 960...
0.19/0.47	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
0.19/0.49	--- Run --uf-ho --ho-elim --full-saturate-quant at 20...
0.39/0.60	% SZS status Theorem for theBenchmark
0.39/0.60	% SZS output start Proof for theBenchmark
0.39/0.60	(skolem (forall ((A Bool)) (not (forall ((BOUND_VARIABLE_343 |u_(-> Bool Bool)|)) (or (not (ho_1 BOUND_VARIABLE_343 A)) (ho_1 BOUND_VARIABLE_343 (not A))) )) )
0.39/0.60	  ( skv_2 )
0.39/0.60	)
0.39/0.60	(skolem (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_1 v ii) (ite ii (ho_1 |e__u_(-> Bool Bool)__3| ii) false)) )) )
0.39/0.60	  ( skv_4 )
0.39/0.60	)
0.39/0.60	(skolem (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_1 v ii) (ite (= ii BOOLEAN_TERM_VARIABLE_514) BOOLEAN_TERM_VARIABLE_514 (ho_1 |e__u_(-> Bool Bool)__3| ii))) )) )
0.39/0.60	  ( skv_5 )
0.39/0.60	)
0.39/0.60	(skolem (forall ((z Bool)) (= (ho_1 |e__u_(-> Bool Bool)__3| z) (ho_1 skv_4 z)) )
0.39/0.60	  ( skv_6 )
0.39/0.60	)
0.39/0.60	(skolem (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_1 v ii) (ite (= ii BOOLEAN_TERM_VARIABLE_518) BOOLEAN_TERM_VARIABLE_514 (ho_1 |e__u_(-> Bool Bool)__3| ii))) )) )
0.39/0.60	  ( skv_7 )
0.39/0.60	)
0.39/0.60	(skolem (forall ((z Bool)) (= (ho_1 |e__u_(-> Bool Bool)__3| z) (ho_1 skv_5 z)) )
0.39/0.60	  ( skv_8 )
0.39/0.60	)
0.39/0.60	(skolem (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_1 v ii) (ite (= ii BOOLEAN_TERM_VARIABLE_514) BOOLEAN_TERM_VARIABLE_518 (ho_1 |e__u_(-> Bool Bool)__3| ii))) )) )
0.39/0.60	  ( skv_9 )
0.39/0.60	)
0.39/0.60	(skolem (forall ((z Bool)) (= (ho_1 |e__u_(-> Bool Bool)__3| z) (ho_1 skv_7 z)) )
0.39/0.60	  ( skv_10 )
0.39/0.60	)
0.39/0.60	(skolem (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_1 v ii) (ite (= ii BOOLEAN_TERM_VARIABLE_518) BOOLEAN_TERM_VARIABLE_518 (ho_1 |e__u_(-> Bool Bool)__3| ii))) )) )
0.39/0.60	  ( skv_11 )
0.39/0.60	)
0.39/0.60	(skolem (forall ((z Bool)) (= (ho_1 |e__u_(-> Bool Bool)__3| z) (ho_1 skv_9 z)) )
0.39/0.60	  ( skv_12 )
0.39/0.60	)
0.39/0.60	(skolem (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_1 v ii) (ite (= ii BOOLEAN_TERM_VARIABLE_514) BOOLEAN_TERM_VARIABLE_514 (ho_1 skv_7 ii))) )) )
0.39/0.60	  ( skv_13 )
0.39/0.60	)
0.39/0.60	(skolem (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_1 v ii) (ite (= ii BOOLEAN_TERM_VARIABLE_518) BOOLEAN_TERM_VARIABLE_514 (ho_1 skv_7 ii))) )) )
0.39/0.60	  ( skv_14 )
0.39/0.60	)
0.39/0.60	(skolem (forall ((z Bool)) (= (ho_1 skv_7 z) (ho_1 skv_9 z)) )
0.39/0.60	  ( skv_15 )
0.39/0.60	)
0.39/0.60	(skolem (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_1 v ii) (ite (= ii BOOLEAN_TERM_VARIABLE_514) BOOLEAN_TERM_VARIABLE_518 (ho_1 skv_7 ii))) )) )
0.39/0.60	  ( skv_16 )
0.39/0.60	)
0.39/0.60	(skolem (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_1 v ii) (ite (= ii BOOLEAN_TERM_VARIABLE_518) BOOLEAN_TERM_VARIABLE_518 (ho_1 skv_7 ii))) )) )
0.39/0.60	  ( skv_17 )
0.39/0.60	)
0.39/0.60	(skolem (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_1 v ii) (ite (= ii (ho_1 |e__u_(-> Bool Bool)__3| BOOLEAN_TERM_VARIABLE_514)) BOOLEAN_TERM_VARIABLE_514 (ho_1 |e__u_(-> Bool Bool)__3| ii))) )) )
0.39/0.60	  ( skv_18 )
0.39/0.60	)
0.39/0.60	(skolem (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_1 v ii) (ite (= ii BOOLEAN_TERM_VARIABLE_514) (ho_1 |e__u_(-> Bool Bool)__3| BOOLEAN_TERM_VARIABLE_514) (ho_1 |e__u_(-> Bool Bool)__3| ii))) )) )
0.39/0.60	  ( skv_19 )
0.39/0.60	)
0.39/0.60	(skolem (forall ((z Bool)) (= (ho_1 skv_4 z) (ho_1 skv_5 z)) )
0.39/0.60	  ( skv_20 )
0.39/0.60	)
0.39/0.60	(skolem (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (let ((_let_0 (ho_1 |e__u_(-> Bool Bool)__3| BOOLEAN_TERM_VARIABLE_514))) (= (ho_1 v ii) (ite (= ii _let_0) _let_0 (ho_1 |e__u_(-> Bool Bool)__3| ii)))) )) )
0.39/0.60	  ( skv_21 )
0.39/0.60	)
0.39/0.60	(skolem (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_1 v ii) (ite (= ii BOOLEAN_TERM_VARIABLE_514) BOOLEAN_TERM_VARIABLE_514 (ho_1 skv_4 ii))) )) )
0.39/0.60	  ( skv_22 )
0.39/0.60	)
0.39/0.60	(instantiation (forall ((x |u_(-> Bool Bool)|) (y |u_(-> Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_1 x z) (ho_1 y z)) )) (= x y)) )
0.39/0.60	  ( |e__u_(-> Bool Bool)__3|, |e__u_(-> Bool Bool)__3| )
0.39/0.60	  ( |e__u_(-> Bool Bool)__3|, skv_4 )
0.39/0.60	  ( |e__u_(-> Bool Bool)__3|, skv_5 )
0.39/0.60	  ( |e__u_(-> Bool Bool)__3|, skv_7 )
0.39/0.60	  ( |e__u_(-> Bool Bool)__3|, skv_9 )
0.39/0.60	  ( |e__u_(-> Bool Bool)__3|, skv_11 )
0.39/0.60	  ( skv_4, |e__u_(-> Bool Bool)__3| )
0.39/0.60	  ( skv_4, skv_5 )
0.39/0.60	  ( skv_5, |e__u_(-> Bool Bool)__3| )
0.39/0.60	  ( skv_5, skv_4 )
0.39/0.60	  ( skv_7, |e__u_(-> Bool Bool)__3| )
0.39/0.60	  ( skv_7, skv_9 )
0.39/0.60	  ( skv_9, |e__u_(-> Bool Bool)__3| )
0.39/0.60	  ( skv_9, skv_7 )
0.39/0.60	)
0.39/0.60	(instantiation (forall ((u |u_(-> Bool Bool)|) (e Bool) (i Bool)) (not (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_1 v ii) (ite (= ii i) e (ho_1 u ii))) )) )) )
0.39/0.60	  ( |e__u_(-> Bool Bool)__3|, false, false )
0.39/0.60	  ( |e__u_(-> Bool Bool)__3|, BOOLEAN_TERM_VARIABLE_514, BOOLEAN_TERM_VARIABLE_514 )
0.39/0.60	  ( |e__u_(-> Bool Bool)__3|, BOOLEAN_TERM_VARIABLE_514, (ho_1 |e__u_(-> Bool Bool)__3| BOOLEAN_TERM_VARIABLE_514) )
0.39/0.60	  ( |e__u_(-> Bool Bool)__3|, BOOLEAN_TERM_VARIABLE_514, BOOLEAN_TERM_VARIABLE_518 )
0.39/0.60	  ( |e__u_(-> Bool Bool)__3|, (ho_1 |e__u_(-> Bool Bool)__3| BOOLEAN_TERM_VARIABLE_514), BOOLEAN_TERM_VARIABLE_514 )
0.39/0.60	  ( |e__u_(-> Bool Bool)__3|, (ho_1 |e__u_(-> Bool Bool)__3| BOOLEAN_TERM_VARIABLE_514), (ho_1 |e__u_(-> Bool Bool)__3| BOOLEAN_TERM_VARIABLE_514) )
0.39/0.60	  ( |e__u_(-> Bool Bool)__3|, BOOLEAN_TERM_VARIABLE_518, BOOLEAN_TERM_VARIABLE_514 )
0.39/0.60	  ( |e__u_(-> Bool Bool)__3|, BOOLEAN_TERM_VARIABLE_518, BOOLEAN_TERM_VARIABLE_518 )
0.39/0.60	  ( skv_4, BOOLEAN_TERM_VARIABLE_514, BOOLEAN_TERM_VARIABLE_514 )
0.39/0.60	  ( skv_4, BOOLEAN_TERM_VARIABLE_514, (ho_1 |e__u_(-> Bool Bool)__3| BOOLEAN_TERM_VARIABLE_514) )
0.39/0.60	  ( skv_7, BOOLEAN_TERM_VARIABLE_514, BOOLEAN_TERM_VARIABLE_514 )
0.39/0.60	  ( skv_7, BOOLEAN_TERM_VARIABLE_514, BOOLEAN_TERM_VARIABLE_518 )
0.39/0.60	  ( skv_7, BOOLEAN_TERM_VARIABLE_518, BOOLEAN_TERM_VARIABLE_514 )
0.39/0.60	  ( skv_7, BOOLEAN_TERM_VARIABLE_518, BOOLEAN_TERM_VARIABLE_518 )
0.39/0.60	)
0.39/0.60	(instantiation (forall ((BOUND_VARIABLE_343 |u_(-> Bool Bool)|)) (or (not (ho_1 BOUND_VARIABLE_343 skv_2)) (ho_1 BOUND_VARIABLE_343 (not skv_2))) )
0.39/0.60	  ( |e__u_(-> Bool Bool)__3| )
0.39/0.60	  ( skv_4 )
0.39/0.60	  ( skv_5 )
0.39/0.60	  ( skv_7 )
0.39/0.60	  ( skv_9 )
0.39/0.60	  ( skv_11 )
0.39/0.60	  ( skv_13 )
0.39/0.60	  ( skv_14 )
0.39/0.60	  ( skv_16 )
0.39/0.60	  ( skv_17 )
0.39/0.60	  ( skv_18 )
0.39/0.60	  ( skv_19 )
0.39/0.60	  ( skv_21 )
0.39/0.60	  ( skv_22 )
0.39/0.60	)
0.39/0.60	(instantiation (forall ((ii Bool)) (= (ho_1 skv_4 ii) (ite ii (ho_1 |e__u_(-> Bool Bool)__3| ii) false)) )
0.39/0.60	  ( skv_2 )
0.39/0.60	  ( (not skv_2) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_514 )
0.39/0.60	  ( (ho_1 |e__u_(-> Bool Bool)__3| BOOLEAN_TERM_VARIABLE_514) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_518 )
0.39/0.60	)
0.39/0.60	(instantiation (forall ((z Bool)) (= (ho_1 |e__u_(-> Bool Bool)__3| z) (ho_1 skv_4 z)) )
0.39/0.60	  ( skv_2 )
0.39/0.60	  ( (not skv_2) )
0.39/0.60	)
0.39/0.60	(instantiation (forall ((ii Bool)) (= (ho_1 skv_5 ii) (ite (= ii BOOLEAN_TERM_VARIABLE_514) BOOLEAN_TERM_VARIABLE_514 (ho_1 |e__u_(-> Bool Bool)__3| ii))) )
0.39/0.60	  ( skv_2 )
0.39/0.60	  ( (not skv_2) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_514 )
0.39/0.60	  ( (ho_1 |e__u_(-> Bool Bool)__3| BOOLEAN_TERM_VARIABLE_514) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_518 )
0.39/0.60	)
0.39/0.60	(instantiation (forall ((z Bool)) (= (ho_1 |e__u_(-> Bool Bool)__3| z) (ho_1 skv_5 z)) )
0.39/0.60	  ( skv_2 )
0.39/0.60	  ( (not skv_2) )
0.39/0.60	)
0.39/0.60	(instantiation (forall ((ii Bool)) (= (ho_1 skv_7 ii) (ite (= ii BOOLEAN_TERM_VARIABLE_518) BOOLEAN_TERM_VARIABLE_514 (ho_1 |e__u_(-> Bool Bool)__3| ii))) )
0.39/0.60	  ( skv_2 )
0.39/0.60	  ( (not skv_2) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_514 )
0.39/0.60	  ( (ho_1 |e__u_(-> Bool Bool)__3| BOOLEAN_TERM_VARIABLE_514) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_518 )
0.39/0.60	)
0.39/0.60	(instantiation (forall ((z Bool)) (= (ho_1 |e__u_(-> Bool Bool)__3| z) (ho_1 skv_7 z)) )
0.39/0.60	  ( skv_2 )
0.39/0.60	  ( (not skv_2) )
0.39/0.60	)
0.39/0.60	(instantiation (forall ((ii Bool)) (= (ho_1 skv_9 ii) (ite (= ii BOOLEAN_TERM_VARIABLE_514) BOOLEAN_TERM_VARIABLE_518 (ho_1 |e__u_(-> Bool Bool)__3| ii))) )
0.39/0.60	  ( skv_2 )
0.39/0.60	  ( (not skv_2) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_514 )
0.39/0.60	  ( (ho_1 |e__u_(-> Bool Bool)__3| BOOLEAN_TERM_VARIABLE_514) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_518 )
0.39/0.60	)
0.39/0.60	(instantiation (forall ((z Bool)) (= (ho_1 |e__u_(-> Bool Bool)__3| z) (ho_1 skv_9 z)) )
0.39/0.60	  ( skv_2 )
0.39/0.60	  ( (not skv_2) )
0.39/0.60	)
0.39/0.60	(instantiation (forall ((ii Bool)) (= (ho_1 skv_11 ii) (ite (= ii BOOLEAN_TERM_VARIABLE_518) BOOLEAN_TERM_VARIABLE_518 (ho_1 |e__u_(-> Bool Bool)__3| ii))) )
0.39/0.60	  ( skv_2 )
0.39/0.60	  ( (not skv_2) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_514 )
0.39/0.60	  ( (ho_1 |e__u_(-> Bool Bool)__3| BOOLEAN_TERM_VARIABLE_514) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_518 )
0.39/0.60	)
0.39/0.60	(instantiation (forall ((ii Bool)) (= (ho_1 skv_13 ii) (ite (= ii BOOLEAN_TERM_VARIABLE_514) BOOLEAN_TERM_VARIABLE_514 (ho_1 skv_7 ii))) )
0.39/0.60	  ( skv_2 )
0.39/0.60	  ( (not skv_2) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_514 )
0.39/0.60	  ( (ho_1 |e__u_(-> Bool Bool)__3| BOOLEAN_TERM_VARIABLE_514) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_518 )
0.39/0.60	)
0.39/0.60	(instantiation (forall ((z Bool)) (= (ho_1 skv_7 z) (ho_1 skv_9 z)) )
0.39/0.60	  ( skv_2 )
0.39/0.60	  ( (not skv_2) )
0.39/0.60	)
0.39/0.60	(instantiation (forall ((ii Bool)) (= (ho_1 skv_14 ii) (ite (= ii BOOLEAN_TERM_VARIABLE_518) BOOLEAN_TERM_VARIABLE_514 (ho_1 skv_7 ii))) )
0.39/0.60	  ( skv_2 )
0.39/0.60	  ( (not skv_2) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_514 )
0.39/0.60	  ( (ho_1 |e__u_(-> Bool Bool)__3| BOOLEAN_TERM_VARIABLE_514) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_518 )
0.39/0.60	)
0.39/0.60	(instantiation (forall ((ii Bool)) (= (ho_1 skv_16 ii) (ite (= ii BOOLEAN_TERM_VARIABLE_514) BOOLEAN_TERM_VARIABLE_518 (ho_1 skv_7 ii))) )
0.39/0.60	  ( skv_2 )
0.39/0.60	  ( (not skv_2) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_514 )
0.39/0.60	  ( (ho_1 |e__u_(-> Bool Bool)__3| BOOLEAN_TERM_VARIABLE_514) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_518 )
0.39/0.60	)
0.39/0.60	(instantiation (forall ((ii Bool)) (= (ho_1 skv_17 ii) (ite (= ii BOOLEAN_TERM_VARIABLE_518) BOOLEAN_TERM_VARIABLE_518 (ho_1 skv_7 ii))) )
0.39/0.60	  ( skv_2 )
0.39/0.60	  ( (not skv_2) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_514 )
0.39/0.60	  ( (ho_1 |e__u_(-> Bool Bool)__3| BOOLEAN_TERM_VARIABLE_514) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_518 )
0.39/0.60	)
0.39/0.60	(instantiation (forall ((ii Bool)) (= (ho_1 skv_18 ii) (ite (= ii (ho_1 |e__u_(-> Bool Bool)__3| BOOLEAN_TERM_VARIABLE_514)) BOOLEAN_TERM_VARIABLE_514 (ho_1 |e__u_(-> Bool Bool)__3| ii))) )
0.39/0.60	  ( skv_2 )
0.39/0.60	  ( (not skv_2) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_514 )
0.39/0.60	  ( (ho_1 |e__u_(-> Bool Bool)__3| BOOLEAN_TERM_VARIABLE_514) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_518 )
0.39/0.60	)
0.39/0.60	(instantiation (forall ((ii Bool)) (= (ho_1 skv_19 ii) (ite (= ii BOOLEAN_TERM_VARIABLE_514) (ho_1 |e__u_(-> Bool Bool)__3| BOOLEAN_TERM_VARIABLE_514) (ho_1 |e__u_(-> Bool Bool)__3| ii))) )
0.39/0.60	  ( skv_2 )
0.39/0.60	  ( (not skv_2) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_514 )
0.39/0.60	  ( (ho_1 |e__u_(-> Bool Bool)__3| BOOLEAN_TERM_VARIABLE_514) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_518 )
0.39/0.60	)
0.39/0.60	(instantiation (forall ((ii Bool)) (let ((_let_0 (ho_1 |e__u_(-> Bool Bool)__3| BOOLEAN_TERM_VARIABLE_514))) (= (ho_1 skv_21 ii) (ite (= ii _let_0) _let_0 (ho_1 |e__u_(-> Bool Bool)__3| ii)))) )
0.39/0.60	  ( skv_2 )
0.39/0.60	  ( (not skv_2) )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_514 )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_518 )
0.39/0.60	)
0.39/0.60	(instantiation (forall ((ii Bool)) (= (ho_1 skv_22 ii) (ite (= ii BOOLEAN_TERM_VARIABLE_514) BOOLEAN_TERM_VARIABLE_514 (ho_1 skv_4 ii))) )
0.39/0.60	  ( skv_2 )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_514 )
0.39/0.60	  ( BOOLEAN_TERM_VARIABLE_518 )
0.39/0.60	)
0.39/0.60	% SZS output end Proof for theBenchmark
0.39/0.61	EOF