0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.12	% Command    : do_CVC4 %s
0.13/0.33	% Computer   : n012.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 11:20:42 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...
0.19/0.61	% SZS status Theorem for theBenchmark
0.42/0.61	% SZS output start Proof for theBenchmark
0.42/0.61	(skolem (forall ((BOUND_VARIABLE_1005 |u_(-> a a Bool)|) (BOUND_VARIABLE_1011 |u_(-> a a Bool)|) (Xx a) (Xy a) (BOUND_VARIABLE_886 a) (BOUND_VARIABLE_887 a) (BOUND_VARIABLE_1161 |u_(-> a Bool)|) (BOUND_VARIABLE_925 a) (BOUND_VARIABLE_926 a) (BOUND_VARIABLE_927 a) (BOUND_VARIABLE_1060 |u_(-> a Bool)|) (BOUND_VARIABLE_994 |u_(-> a Bool)|)) (or (and (or (and (not (forall ((BOUND_VARIABLE_1218 |u_(-> a Bool)|)) (or (not (forall ((Xw a)) (or (not (ho_1 (ho_2 BOUND_VARIABLE_1011 BOUND_VARIABLE_886) Xw)) (ho_1 BOUND_VARIABLE_1218 Xw)) )) (not (forall ((Xu a) (Xv a)) (or (not (ho_1 BOUND_VARIABLE_1218 Xu)) (not (ho_1 (ho_2 BOUND_VARIABLE_1011 Xu) Xv)) (ho_1 BOUND_VARIABLE_1218 Xv)) )) (ho_1 BOUND_VARIABLE_1218 BOUND_VARIABLE_887)) )) (not (forall ((BOUND_VARIABLE_1195 |u_(-> a Bool)|)) (or (not (forall ((Xw a)) (or (not (ho_1 (ho_2 BOUND_VARIABLE_1005 BOUND_VARIABLE_886) Xw)) (ho_1 BOUND_VARIABLE_1195 Xw)) )) (not (forall ((Xu a) (Xv a)) (or (not (ho_1 (ho_2 BOUND_VARIABLE_1005 Xu) Xv)) (not (ho_1 BOUND_VARIABLE_1195 Xu)) (ho_1 BOUND_VARIABLE_1195 Xv)) )) (ho_1 BOUND_VARIABLE_1195 BOUND_VARIABLE_887)) ))) (not (forall ((Xw a)) (or (and (not (ho_1 (ho_2 BOUND_VARIABLE_1005 BOUND_VARIABLE_886) Xw)) (not (ho_1 (ho_2 BOUND_VARIABLE_1011 BOUND_VARIABLE_886) Xw))) (ho_1 BOUND_VARIABLE_1161 Xw)) )) (not (forall ((Xu a) (Xv a)) (or (and (not (ho_1 (ho_2 BOUND_VARIABLE_1005 Xu) Xv)) (not (ho_1 (ho_2 BOUND_VARIABLE_1011 Xu) Xv))) (not (ho_1 BOUND_VARIABLE_1161 Xu)) (ho_1 BOUND_VARIABLE_1161 Xv)) )) (ho_1 BOUND_VARIABLE_1161 BOUND_VARIABLE_887)) (or (not (forall ((BOUND_VARIABLE_1129 |u_(-> a Bool)|)) (or (not (forall ((Xw a)) (or (and (not (ho_1 (ho_2 BOUND_VARIABLE_1011 BOUND_VARIABLE_925) Xw)) (not (ho_1 (ho_2 BOUND_VARIABLE_1005 BOUND_VARIABLE_925) Xw))) (ho_1 BOUND_VARIABLE_1129 Xw)) )) (not (forall ((Xu a) (Xv a)) (or (and (not (ho_1 (ho_2 BOUND_VARIABLE_1011 Xu) Xv)) (not (ho_1 (ho_2 BOUND_VARIABLE_1005 Xu) Xv))) (not (ho_1 BOUND_VARIABLE_1129 Xu)) (ho_1 BOUND_VARIABLE_1129 Xv)) )) (ho_1 BOUND_VARIABLE_1129 BOUND_VARIABLE_926)) )) (not (forall ((BOUND_VARIABLE_1094 |u_(-> a Bool)|)) (or (not (forall ((Xu a) (Xv a)) (or (and (not (ho_1 (ho_2 BOUND_VARIABLE_1005 Xu) Xv)) (not (ho_1 (ho_2 BOUND_VARIABLE_1011 Xu) Xv))) (not (ho_1 BOUND_VARIABLE_1094 Xu)) (ho_1 BOUND_VARIABLE_1094 Xv)) )) (not (forall ((Xw a)) (or (and (not (ho_1 (ho_2 BOUND_VARIABLE_1005 BOUND_VARIABLE_926) Xw)) (not (ho_1 (ho_2 BOUND_VARIABLE_1011 BOUND_VARIABLE_926) Xw))) (ho_1 BOUND_VARIABLE_1094 Xw)) )) (ho_1 BOUND_VARIABLE_1094 BOUND_VARIABLE_927)) )) (not (forall ((Xw a)) (or (and (not (ho_1 (ho_2 BOUND_VARIABLE_1011 BOUND_VARIABLE_925) Xw)) (not (ho_1 (ho_2 BOUND_VARIABLE_1005 BOUND_VARIABLE_925) Xw))) (ho_1 BOUND_VARIABLE_1060 Xw)) )) (not (forall ((Xu a) (Xv a)) (or (and (not (ho_1 (ho_2 BOUND_VARIABLE_1005 Xu) Xv)) (not (ho_1 (ho_2 BOUND_VARIABLE_1011 Xu) Xv))) (not (ho_1 BOUND_VARIABLE_1060 Xu)) (ho_1 BOUND_VARIABLE_1060 Xv)) )) (ho_1 BOUND_VARIABLE_1060 BOUND_VARIABLE_927)) (not (forall ((BOUND_VARIABLE_1031 |u_(-> a Bool)|)) (or (not (forall ((Xu a) (Xv a)) (or (not (ho_1 BOUND_VARIABLE_1031 Xu)) (and (not (ho_1 (ho_2 BOUND_VARIABLE_1011 Xu) Xv)) (not (ho_1 (ho_2 BOUND_VARIABLE_1005 Xu) Xv))) (ho_1 BOUND_VARIABLE_1031 Xv)) )) (not (forall ((Xw a)) (or (and (not (ho_1 (ho_2 BOUND_VARIABLE_1011 Xx) Xw)) (not (ho_1 (ho_2 BOUND_VARIABLE_1005 Xx) Xw))) (ho_1 BOUND_VARIABLE_1031 Xw)) )) (ho_1 BOUND_VARIABLE_1031 Xy)) ))) (not (forall ((Xw a)) (or (and (not (ho_1 (ho_2 BOUND_VARIABLE_1011 Xx) Xw)) (not (ho_1 (ho_2 BOUND_VARIABLE_1005 Xx) Xw))) (ho_1 BOUND_VARIABLE_994 Xw)) )) (not (forall ((Xu a) (Xv a)) (or (and (not (ho_1 (ho_2 BOUND_VARIABLE_1011 Xu) Xv)) (not (ho_1 (ho_2 BOUND_VARIABLE_1005 Xu) Xv))) (not (ho_1 BOUND_VARIABLE_994 Xu)) (ho_1 BOUND_VARIABLE_994 Xv)) )) (ho_1 BOUND_VARIABLE_994 Xy)) )
0.42/0.61	  ( skv_3 skv_4 skv_5 skv_6 skv_7 skv_8 skv_9 skv_10 skv_11 skv_12 skv_13 skv_14 )
0.42/0.61	)
0.42/0.61	(skolem (forall ((Xw a)) (or (not (ho_1 (ho_2 skv_4 skv_7) Xw)) (ho_1 skv_9 Xw)) )
0.42/0.61	  ( skv_15 )
0.42/0.61	)
0.42/0.61	(skolem (forall ((Xu a) (Xv a)) (or (not (ho_1 skv_9 Xu)) (not (ho_1 (ho_2 skv_4 Xu) Xv)) (ho_1 skv_9 Xv)) )
0.42/0.61	  ( skv_16 skv_17 )
0.42/0.61	)
0.42/0.61	(skolem (forall ((Xw a)) (or (and (not (ho_1 (ho_2 skv_3 skv_11) Xw)) (not (ho_1 (ho_2 skv_4 skv_11) Xw))) (ho_1 skv_13 Xw)) )
0.42/0.61	  ( skv_18 )
0.42/0.61	)
0.42/0.61	(skolem (forall ((Xu a) (Xv a)) (let ((_let_0 (ho_2 skv_4 skv_7))) (or (not (ho_1 _let_0 Xu)) (not (ho_1 (ho_2 skv_4 Xu) Xv)) (ho_1 _let_0 Xv))) )
0.42/0.61	  ( skv_19 skv_20 )
0.42/0.61	)
0.42/0.61	(skolem (forall ((Xw a)) (or (not (ho_1 (ho_2 skv_4 skv_7) Xw)) (ho_1 (ho_2 skv_3 skv_7) Xw)) )
0.42/0.61	  ( skv_21 )
0.42/0.61	)
0.42/0.61	(skolem (forall ((Xu a) (Xv a)) (let ((_let_0 (ho_2 skv_4 skv_10))) (or (and (not (ho_1 (ho_2 skv_3 Xu) Xv)) (not (ho_1 (ho_2 skv_4 Xu) Xv))) (not (ho_1 _let_0 Xu)) (ho_1 _let_0 Xv))) )
0.42/0.61	  ( skv_22 skv_23 )
0.42/0.61	)
0.42/0.61	(skolem (forall ((Xu a) (Xv a)) (let ((_let_0 (ho_2 skv_3 skv_10))) (or (and (not (ho_1 (ho_2 skv_3 Xu) Xv)) (not (ho_1 (ho_2 skv_4 Xu) Xv))) (not (ho_1 _let_0 Xu)) (ho_1 _let_0 Xv))) )
0.42/0.61	  ( skv_24 skv_25 )
0.42/0.61	)
0.42/0.61	(skolem (forall ((Xw a)) (or (and (not (ho_1 (ho_2 skv_4 skv_10) Xw)) (not (ho_1 (ho_2 skv_3 skv_10) Xw))) (ho_1 skv_9 Xw)) )
0.42/0.61	  ( skv_26 )
0.42/0.61	)
0.42/0.61	(skolem (forall ((Xw a)) (or (and (not (ho_1 (ho_2 skv_4 skv_10) Xw)) (not (ho_1 (ho_2 skv_3 skv_10) Xw))) (ho_1 skv_14 Xw)) )
0.42/0.61	  ( skv_27 )
0.42/0.61	)
0.42/0.61	(skolem (forall ((BOUND_VARIABLE_1031 |u_(-> a Bool)|)) (or (not (forall ((Xu a) (Xv a)) (or (not (ho_1 BOUND_VARIABLE_1031 Xu)) (and (not (ho_1 (ho_2 skv_4 Xu) Xv)) (not (ho_1 (ho_2 skv_3 Xu) Xv))) (ho_1 BOUND_VARIABLE_1031 Xv)) )) (not (forall ((Xw a)) (or (and (not (ho_1 (ho_2 skv_4 skv_5) Xw)) (not (ho_1 (ho_2 skv_3 skv_5) Xw))) (ho_1 BOUND_VARIABLE_1031 Xw)) )) (ho_1 BOUND_VARIABLE_1031 skv_6)) )
0.42/0.61	  ( skv_28 )
0.42/0.61	)
0.42/0.61	(skolem (forall ((BOUND_VARIABLE_1218 |u_(-> a Bool)|)) (or (not (forall ((Xw a)) (or (not (ho_1 (ho_2 skv_4 skv_7) Xw)) (ho_1 BOUND_VARIABLE_1218 Xw)) )) (not (forall ((Xu a) (Xv a)) (or (not (ho_1 BOUND_VARIABLE_1218 Xu)) (not (ho_1 (ho_2 skv_4 Xu) Xv)) (ho_1 BOUND_VARIABLE_1218 Xv)) )) (ho_1 BOUND_VARIABLE_1218 skv_8)) )
0.42/0.61	  ( skv_29 )
0.42/0.61	)
0.42/0.61	(skolem (forall ((BOUND_VARIABLE_1094 |u_(-> a Bool)|)) (or (not (forall ((Xu a) (Xv a)) (or (and (not (ho_1 (ho_2 skv_3 Xu) Xv)) (not (ho_1 (ho_2 skv_4 Xu) Xv))) (not (ho_1 BOUND_VARIABLE_1094 Xu)) (ho_1 BOUND_VARIABLE_1094 Xv)) )) (not (forall ((Xw a)) (or (and (not (ho_1 (ho_2 skv_3 skv_11) Xw)) (not (ho_1 (ho_2 skv_4 skv_11) Xw))) (ho_1 BOUND_VARIABLE_1094 Xw)) )) (ho_1 BOUND_VARIABLE_1094 skv_12)) )
0.42/0.61	  ( skv_30 )
0.42/0.61	)
0.42/0.61	(skolem (forall ((Xw a)) (or (and (not (ho_1 (ho_2 skv_4 skv_10) Xw)) (not (ho_1 (ho_2 skv_3 skv_10) Xw))) (ho_1 skv_13 Xw)) )
0.42/0.61	  ( skv_31 )
0.42/0.61	)
0.42/0.61	(skolem (forall ((Xu a) (Xv a)) (or (and (not (ho_1 (ho_2 skv_3 Xu) Xv)) (not (ho_1 (ho_2 skv_4 Xu) Xv))) (not (ho_1 skv_13 Xu)) (ho_1 skv_13 Xv)) )
0.42/0.61	  ( skv_32 skv_33 )
0.42/0.61	)
0.42/0.61	(skolem (forall ((BOUND_VARIABLE_1129 |u_(-> a Bool)|)) (or (not (forall ((Xw a)) (or (and (not (ho_1 (ho_2 skv_4 skv_10) Xw)) (not (ho_1 (ho_2 skv_3 skv_10) Xw))) (ho_1 BOUND_VARIABLE_1129 Xw)) )) (not (forall ((Xu a) (Xv a)) (or (and (not (ho_1 (ho_2 skv_4 Xu) Xv)) (not (ho_1 (ho_2 skv_3 Xu) Xv))) (not (ho_1 BOUND_VARIABLE_1129 Xu)) (ho_1 BOUND_VARIABLE_1129 Xv)) )) (ho_1 BOUND_VARIABLE_1129 skv_11)) )
0.42/0.61	  ( skv_34 )
0.42/0.61	)
0.42/0.61	(skolem (forall ((Xu a) (Xv a)) (let ((_let_0 (ho_2 skv_4 skv_5))) (or (and (not (ho_1 (ho_2 skv_4 Xu) Xv)) (not (ho_1 (ho_2 skv_3 Xu) Xv))) (not (ho_1 _let_0 Xu)) (ho_1 _let_0 Xv))) )
0.42/0.61	  ( skv_35 skv_36 )
0.42/0.61	)
0.42/0.61	(skolem (forall ((Xu a) (Xv a)) (let ((_let_0 (ho_2 skv_3 skv_5))) (or (and (not (ho_1 (ho_2 skv_4 Xu) Xv)) (not (ho_1 (ho_2 skv_3 Xu) Xv))) (not (ho_1 _let_0 Xu)) (ho_1 _let_0 Xv))) )
0.42/0.61	  ( skv_37 skv_38 )
0.42/0.61	)
0.42/0.61	(skolem (forall ((Xu a) (Xv a)) (let ((_let_0 (ho_2 skv_3 skv_7))) (or (not (ho_1 (ho_2 skv_3 Xu) Xv)) (not (ho_1 _let_0 Xu)) (ho_1 _let_0 Xv))) )
0.42/0.61	  ( skv_39 skv_40 )
0.42/0.61	)
0.42/0.61	(skolem (forall ((Xw a)) (or (not (ho_1 (ho_2 skv_3 skv_7) Xw)) (ho_1 skv_9 Xw)) )
0.42/0.61	  ( skv_41 )
0.42/0.61	)
0.42/0.61	(skolem (forall ((Xw a)) (or (not (ho_1 (ho_2 skv_3 skv_7) Xw)) (ho_1 (ho_2 skv_4 skv_7) Xw)) )
0.42/0.61	  ( skv_42 )
0.42/0.61	)
0.42/0.61	(skolem (forall ((Xw a)) (or (not (ho_1 (ho_2 skv_3 skv_7) Xw)) (ho_1 skv_29 Xw)) )
0.42/0.61	  ( skv_43 )
0.42/0.61	)
0.42/0.61	(skolem (forall ((Xu a) (Xv a)) (or (not (ho_1 (ho_2 skv_3 Xu) Xv)) (not (ho_1 skv_9 Xu)) (ho_1 skv_9 Xv)) )
0.42/0.61	  ( skv_44 skv_45 )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((BOUND_VARIABLE_1218 |u_(-> a Bool)|)) (or (not (forall ((Xw a)) (or (not (ho_1 (ho_2 skv_4 skv_7) Xw)) (ho_1 BOUND_VARIABLE_1218 Xw)) )) (not (forall ((Xu a) (Xv a)) (or (not (ho_1 BOUND_VARIABLE_1218 Xu)) (not (ho_1 (ho_2 skv_4 Xu) Xv)) (ho_1 BOUND_VARIABLE_1218 Xv)) )) (ho_1 BOUND_VARIABLE_1218 skv_8)) )
0.42/0.61	  ( skv_9 )
0.42/0.61	  ( (ho_2 skv_4 skv_7) )
0.42/0.61	  ( (ho_2 skv_3 skv_7) )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((BOUND_VARIABLE_1195 |u_(-> a Bool)|)) (or (not (forall ((Xw a)) (or (not (ho_1 (ho_2 skv_3 skv_7) Xw)) (ho_1 BOUND_VARIABLE_1195 Xw)) )) (not (forall ((Xu a) (Xv a)) (or (not (ho_1 (ho_2 skv_3 Xu) Xv)) (not (ho_1 BOUND_VARIABLE_1195 Xu)) (ho_1 BOUND_VARIABLE_1195 Xv)) )) (ho_1 BOUND_VARIABLE_1195 skv_8)) )
0.42/0.61	  ( skv_9 )
0.42/0.61	  ( (ho_2 skv_4 skv_7) )
0.42/0.61	  ( (ho_2 skv_3 skv_7) )
0.42/0.61	  ( skv_29 )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((Xw a)) (or (and (not (ho_1 (ho_2 skv_3 skv_7) Xw)) (not (ho_1 (ho_2 skv_4 skv_7) Xw))) (ho_1 skv_9 Xw)) )
0.42/0.61	  ( skv_7 )
0.42/0.61	  ( skv_8 )
0.42/0.61	  ( skv_10 )
0.42/0.61	  ( skv_11 )
0.42/0.61	  ( skv_15 )
0.42/0.61	  ( skv_16 )
0.42/0.61	  ( skv_17 )
0.42/0.61	  ( skv_18 )
0.42/0.61	  ( skv_19 )
0.42/0.61	  ( skv_20 )
0.42/0.61	  ( skv_21 )
0.42/0.61	  ( skv_22 )
0.42/0.61	  ( skv_23 )
0.42/0.61	  ( skv_24 )
0.42/0.61	  ( skv_25 )
0.42/0.61	  ( skv_26 )
0.42/0.61	  ( skv_41 )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((Xu a) (Xv a)) (or (and (not (ho_1 (ho_2 skv_3 Xu) Xv)) (not (ho_1 (ho_2 skv_4 Xu) Xv))) (not (ho_1 skv_9 Xu)) (ho_1 skv_9 Xv)) )
0.42/0.61	  ( skv_5, skv_35 )
0.42/0.61	  ( skv_5, skv_36 )
0.42/0.61	  ( skv_5, skv_37 )
0.42/0.61	  ( skv_5, skv_38 )
0.42/0.61	  ( skv_7, skv_19 )
0.42/0.61	  ( skv_7, skv_20 )
0.42/0.61	  ( skv_7, skv_21 )
0.42/0.61	  ( skv_10, skv_22 )
0.42/0.61	  ( skv_10, skv_23 )
0.42/0.61	  ( skv_10, skv_24 )
0.42/0.61	  ( skv_10, skv_25 )
0.42/0.61	  ( skv_11, skv_18 )
0.42/0.61	  ( skv_16, skv_17 )
0.42/0.61	  ( skv_19, skv_20 )
0.42/0.61	  ( skv_22, skv_23 )
0.42/0.61	  ( skv_24, skv_25 )
0.42/0.61	  ( skv_32, skv_33 )
0.42/0.61	  ( skv_35, skv_36 )
0.42/0.61	  ( skv_37, skv_38 )
0.42/0.61	  ( skv_44, skv_45 )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((BOUND_VARIABLE_1129 |u_(-> a Bool)|)) (or (not (forall ((Xw a)) (or (and (not (ho_1 (ho_2 skv_4 skv_10) Xw)) (not (ho_1 (ho_2 skv_3 skv_10) Xw))) (ho_1 BOUND_VARIABLE_1129 Xw)) )) (not (forall ((Xu a) (Xv a)) (or (and (not (ho_1 (ho_2 skv_4 Xu) Xv)) (not (ho_1 (ho_2 skv_3 Xu) Xv))) (not (ho_1 BOUND_VARIABLE_1129 Xu)) (ho_1 BOUND_VARIABLE_1129 Xv)) )) (ho_1 BOUND_VARIABLE_1129 skv_11)) )
0.42/0.61	  ( skv_9 )
0.42/0.61	  ( skv_13 )
0.42/0.61	  ( skv_14 )
0.42/0.61	  ( (ho_2 skv_4 skv_7) )
0.42/0.61	  ( (ho_2 skv_3 skv_7) )
0.42/0.61	  ( (ho_2 skv_4 skv_10) )
0.42/0.61	  ( (ho_2 skv_3 skv_10) )
0.42/0.61	  ( (ho_2 skv_4 skv_5) )
0.42/0.61	  ( (ho_2 skv_3 skv_5) )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((BOUND_VARIABLE_1094 |u_(-> a Bool)|)) (or (not (forall ((Xu a) (Xv a)) (or (and (not (ho_1 (ho_2 skv_3 Xu) Xv)) (not (ho_1 (ho_2 skv_4 Xu) Xv))) (not (ho_1 BOUND_VARIABLE_1094 Xu)) (ho_1 BOUND_VARIABLE_1094 Xv)) )) (not (forall ((Xw a)) (or (and (not (ho_1 (ho_2 skv_3 skv_11) Xw)) (not (ho_1 (ho_2 skv_4 skv_11) Xw))) (ho_1 BOUND_VARIABLE_1094 Xw)) )) (ho_1 BOUND_VARIABLE_1094 skv_12)) )
0.42/0.61	  ( skv_13 )
0.42/0.61	  ( (ho_2 skv_4 skv_10) )
0.42/0.61	  ( (ho_2 skv_3 skv_10) )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((Xw a)) (or (and (not (ho_1 (ho_2 skv_4 skv_10) Xw)) (not (ho_1 (ho_2 skv_3 skv_10) Xw))) (ho_1 skv_13 Xw)) )
0.42/0.61	  ( skv_7 )
0.42/0.61	  ( skv_10 )
0.42/0.61	  ( skv_11 )
0.42/0.61	  ( skv_12 )
0.42/0.61	  ( skv_18 )
0.42/0.61	  ( skv_19 )
0.42/0.61	  ( skv_20 )
0.42/0.61	  ( skv_21 )
0.42/0.61	  ( skv_22 )
0.42/0.61	  ( skv_23 )
0.42/0.61	  ( skv_24 )
0.42/0.61	  ( skv_25 )
0.42/0.61	  ( skv_26 )
0.42/0.61	  ( skv_27 )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((Xu a) (Xv a)) (or (and (not (ho_1 (ho_2 skv_3 Xu) Xv)) (not (ho_1 (ho_2 skv_4 Xu) Xv))) (not (ho_1 skv_13 Xu)) (ho_1 skv_13 Xv)) )
0.42/0.61	  ( skv_7, skv_19 )
0.42/0.61	  ( skv_7, skv_20 )
0.42/0.61	  ( skv_7, skv_21 )
0.42/0.61	  ( skv_10, skv_22 )
0.42/0.61	  ( skv_10, skv_23 )
0.42/0.61	  ( skv_10, skv_24 )
0.42/0.61	  ( skv_10, skv_25 )
0.42/0.61	  ( skv_11, skv_18 )
0.42/0.61	  ( skv_19, skv_20 )
0.42/0.61	  ( skv_22, skv_23 )
0.42/0.61	  ( skv_24, skv_25 )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((BOUND_VARIABLE_1031 |u_(-> a Bool)|)) (or (not (forall ((Xu a) (Xv a)) (or (not (ho_1 BOUND_VARIABLE_1031 Xu)) (and (not (ho_1 (ho_2 skv_4 Xu) Xv)) (not (ho_1 (ho_2 skv_3 Xu) Xv))) (ho_1 BOUND_VARIABLE_1031 Xv)) )) (not (forall ((Xw a)) (or (and (not (ho_1 (ho_2 skv_4 skv_5) Xw)) (not (ho_1 (ho_2 skv_3 skv_5) Xw))) (ho_1 BOUND_VARIABLE_1031 Xw)) )) (ho_1 BOUND_VARIABLE_1031 skv_6)) )
0.42/0.61	  ( skv_14 )
0.42/0.61	  ( (ho_2 skv_4 skv_5) )
0.42/0.61	  ( (ho_2 skv_3 skv_5) )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((Xw a)) (or (and (not (ho_1 (ho_2 skv_4 skv_5) Xw)) (not (ho_1 (ho_2 skv_3 skv_5) Xw))) (ho_1 skv_14 Xw)) )
0.42/0.61	  ( skv_6 )
0.42/0.61	  ( skv_7 )
0.42/0.61	  ( skv_10 )
0.42/0.61	  ( skv_11 )
0.42/0.61	  ( skv_18 )
0.42/0.61	  ( skv_19 )
0.42/0.61	  ( skv_20 )
0.42/0.61	  ( skv_21 )
0.42/0.61	  ( skv_22 )
0.42/0.61	  ( skv_23 )
0.42/0.61	  ( skv_24 )
0.42/0.61	  ( skv_25 )
0.42/0.61	  ( skv_27 )
0.42/0.61	  ( skv_35 )
0.42/0.61	  ( skv_36 )
0.42/0.61	  ( skv_37 )
0.42/0.61	  ( skv_38 )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((Xu a) (Xv a)) (or (and (not (ho_1 (ho_2 skv_4 Xu) Xv)) (not (ho_1 (ho_2 skv_3 Xu) Xv))) (not (ho_1 skv_14 Xu)) (ho_1 skv_14 Xv)) )
0.42/0.61	  ( skv_5, skv_35 )
0.42/0.61	  ( skv_5, skv_36 )
0.42/0.61	  ( skv_5, skv_37 )
0.42/0.61	  ( skv_5, skv_38 )
0.42/0.61	  ( skv_7, skv_19 )
0.42/0.61	  ( skv_7, skv_20 )
0.42/0.61	  ( skv_7, skv_21 )
0.42/0.61	  ( skv_10, skv_12 )
0.42/0.61	  ( skv_10, skv_18 )
0.42/0.61	  ( skv_10, skv_20 )
0.42/0.61	  ( skv_10, skv_21 )
0.42/0.61	  ( skv_10, skv_22 )
0.42/0.61	  ( skv_10, skv_23 )
0.42/0.61	  ( skv_10, skv_24 )
0.42/0.61	  ( skv_10, skv_25 )
0.42/0.61	  ( skv_10, skv_26 )
0.42/0.61	  ( skv_10, skv_27 )
0.42/0.61	  ( skv_10, skv_31 )
0.42/0.61	  ( skv_11, skv_18 )
0.42/0.61	  ( skv_19, skv_20 )
0.42/0.61	  ( skv_22, skv_23 )
0.42/0.61	  ( skv_24, skv_25 )
0.42/0.61	  ( skv_32, skv_33 )
0.42/0.61	  ( skv_35, skv_36 )
0.42/0.61	  ( skv_37, skv_38 )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((Xw a)) (or (not (ho_1 (ho_2 skv_4 skv_7) Xw)) (ho_1 skv_9 Xw)) )
0.42/0.61	  ( skv_7 )
0.42/0.61	  ( skv_10 )
0.42/0.61	  ( skv_11 )
0.42/0.61	  ( skv_16 )
0.42/0.61	  ( skv_17 )
0.42/0.61	  ( skv_18 )
0.42/0.61	  ( skv_19 )
0.42/0.61	  ( skv_21 )
0.42/0.61	  ( skv_22 )
0.42/0.61	  ( skv_23 )
0.42/0.61	  ( skv_24 )
0.42/0.61	  ( skv_25 )
0.42/0.61	  ( skv_26 )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((Xu a) (Xv a)) (or (not (ho_1 skv_9 Xu)) (not (ho_1 (ho_2 skv_4 Xu) Xv)) (ho_1 skv_9 Xv)) )
0.42/0.61	  ( skv_5, skv_35 )
0.42/0.61	  ( skv_7, skv_19 )
0.42/0.61	  ( skv_7, skv_21 )
0.42/0.61	  ( skv_10, skv_22 )
0.42/0.61	  ( skv_11, skv_18 )
0.42/0.61	  ( skv_19, skv_20 )
0.42/0.61	  ( skv_22, skv_23 )
0.42/0.61	  ( skv_24, skv_25 )
0.42/0.61	  ( skv_32, skv_33 )
0.42/0.61	  ( skv_35, skv_36 )
0.42/0.61	  ( skv_37, skv_38 )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((Xu a) (Xv a)) (let ((_let_0 (ho_2 skv_4 skv_7))) (or (not (ho_1 _let_0 Xu)) (not (ho_1 (ho_2 skv_4 Xu) Xv)) (ho_1 _let_0 Xv))) )
0.42/0.61	  ( skv_5, skv_35 )
0.42/0.61	  ( skv_32, skv_33 )
0.42/0.61	  ( skv_35, skv_36 )
0.42/0.61	  ( skv_37, skv_38 )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((Xw a)) (or (and (not (ho_1 (ho_2 skv_3 skv_11) Xw)) (not (ho_1 (ho_2 skv_4 skv_11) Xw))) (ho_1 skv_13 Xw)) )
0.42/0.61	  ( skv_7 )
0.42/0.61	  ( skv_10 )
0.42/0.61	  ( skv_11 )
0.42/0.61	  ( skv_12 )
0.42/0.61	  ( skv_19 )
0.42/0.61	  ( skv_20 )
0.42/0.61	  ( skv_21 )
0.42/0.61	  ( skv_22 )
0.42/0.61	  ( skv_23 )
0.42/0.61	  ( skv_24 )
0.42/0.61	  ( skv_25 )
0.42/0.61	  ( skv_26 )
0.42/0.61	  ( skv_27 )
0.42/0.61	  ( skv_31 )
0.42/0.61	  ( skv_33 )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((Xu a) (Xv a)) (let ((_let_0 (ho_2 skv_4 skv_10))) (or (and (not (ho_1 (ho_2 skv_3 Xu) Xv)) (not (ho_1 (ho_2 skv_4 Xu) Xv))) (not (ho_1 _let_0 Xu)) (ho_1 _let_0 Xv))) )
0.42/0.61	  ( skv_5, skv_35 )
0.42/0.61	  ( skv_5, skv_36 )
0.42/0.61	  ( skv_5, skv_37 )
0.42/0.61	  ( skv_5, skv_38 )
0.42/0.61	  ( skv_32, skv_33 )
0.42/0.61	  ( skv_35, skv_36 )
0.42/0.61	  ( skv_37, skv_38 )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((Xu a) (Xv a)) (let ((_let_0 (ho_2 skv_3 skv_10))) (or (and (not (ho_1 (ho_2 skv_3 Xu) Xv)) (not (ho_1 (ho_2 skv_4 Xu) Xv))) (not (ho_1 _let_0 Xu)) (ho_1 _let_0 Xv))) )
0.42/0.61	  ( skv_5, skv_35 )
0.42/0.61	  ( skv_5, skv_36 )
0.42/0.61	  ( skv_5, skv_37 )
0.42/0.61	  ( skv_5, skv_38 )
0.42/0.61	  ( skv_32, skv_33 )
0.42/0.61	  ( skv_35, skv_36 )
0.42/0.61	  ( skv_37, skv_38 )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((Xw a)) (or (and (not (ho_1 (ho_2 skv_4 skv_10) Xw)) (not (ho_1 (ho_2 skv_3 skv_10) Xw))) (ho_1 skv_9 Xw)) )
0.42/0.61	  ( skv_7 )
0.42/0.61	  ( skv_8 )
0.42/0.61	  ( skv_10 )
0.42/0.61	  ( skv_11 )
0.42/0.61	  ( skv_12 )
0.42/0.61	  ( skv_15 )
0.42/0.61	  ( skv_16 )
0.42/0.61	  ( skv_17 )
0.42/0.61	  ( skv_18 )
0.42/0.61	  ( skv_19 )
0.42/0.61	  ( skv_20 )
0.42/0.61	  ( skv_21 )
0.42/0.61	  ( skv_26 )
0.42/0.61	  ( skv_27 )
0.42/0.61	  ( skv_31 )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((Xw a)) (or (and (not (ho_1 (ho_2 skv_4 skv_10) Xw)) (not (ho_1 (ho_2 skv_3 skv_10) Xw))) (ho_1 skv_14 Xw)) )
0.42/0.61	  ( skv_6 )
0.42/0.61	  ( skv_12 )
0.42/0.61	  ( skv_18 )
0.42/0.61	  ( skv_20 )
0.42/0.61	  ( skv_21 )
0.42/0.61	  ( skv_26 )
0.42/0.61	  ( skv_27 )
0.42/0.61	  ( skv_31 )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((Xu a) (Xv a)) (or (not (ho_1 skv_28 Xu)) (and (not (ho_1 (ho_2 skv_4 Xu) Xv)) (not (ho_1 (ho_2 skv_3 Xu) Xv))) (ho_1 skv_28 Xv)) )
0.42/0.61	  ( skv_5, skv_35 )
0.42/0.61	  ( skv_5, skv_36 )
0.42/0.61	  ( skv_5, skv_37 )
0.42/0.61	  ( skv_5, skv_38 )
0.42/0.61	  ( skv_10, skv_12 )
0.42/0.61	  ( skv_10, skv_18 )
0.42/0.61	  ( skv_10, skv_20 )
0.42/0.61	  ( skv_10, skv_21 )
0.42/0.61	  ( skv_10, skv_26 )
0.42/0.61	  ( skv_10, skv_27 )
0.42/0.61	  ( skv_10, skv_31 )
0.42/0.61	  ( skv_32, skv_33 )
0.42/0.61	  ( skv_35, skv_36 )
0.42/0.61	  ( skv_37, skv_38 )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((Xw a)) (or (and (not (ho_1 (ho_2 skv_4 skv_5) Xw)) (not (ho_1 (ho_2 skv_3 skv_5) Xw))) (ho_1 skv_28 Xw)) )
0.42/0.61	  ( skv_35 )
0.42/0.61	  ( skv_36 )
0.42/0.61	  ( skv_37 )
0.42/0.61	  ( skv_38 )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((Xu a) (Xv a)) (or (not (ho_1 skv_29 Xu)) (not (ho_1 (ho_2 skv_4 Xu) Xv)) (ho_1 skv_29 Xv)) )
0.42/0.61	  ( skv_5, skv_35 )
0.42/0.61	  ( skv_10, skv_12 )
0.42/0.61	  ( skv_10, skv_18 )
0.42/0.61	  ( skv_10, skv_20 )
0.42/0.61	  ( skv_10, skv_21 )
0.42/0.61	  ( skv_10, skv_26 )
0.42/0.61	  ( skv_10, skv_27 )
0.42/0.61	  ( skv_10, skv_31 )
0.42/0.61	  ( skv_32, skv_33 )
0.42/0.61	  ( skv_35, skv_36 )
0.42/0.61	  ( skv_37, skv_38 )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((Xu a) (Xv a)) (or (and (not (ho_1 (ho_2 skv_3 Xu) Xv)) (not (ho_1 (ho_2 skv_4 Xu) Xv))) (not (ho_1 skv_30 Xu)) (ho_1 skv_30 Xv)) )
0.42/0.61	  ( skv_5, skv_35 )
0.42/0.61	  ( skv_5, skv_36 )
0.42/0.61	  ( skv_5, skv_37 )
0.42/0.61	  ( skv_5, skv_38 )
0.42/0.61	  ( skv_10, skv_12 )
0.42/0.61	  ( skv_10, skv_18 )
0.42/0.61	  ( skv_10, skv_20 )
0.42/0.61	  ( skv_10, skv_21 )
0.42/0.61	  ( skv_10, skv_26 )
0.42/0.61	  ( skv_10, skv_27 )
0.42/0.61	  ( skv_10, skv_31 )
0.42/0.61	  ( skv_32, skv_33 )
0.42/0.61	  ( skv_35, skv_36 )
0.42/0.61	  ( skv_37, skv_38 )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((Xw a)) (or (and (not (ho_1 (ho_2 skv_3 skv_11) Xw)) (not (ho_1 (ho_2 skv_4 skv_11) Xw))) (ho_1 skv_30 Xw)) )
0.42/0.61	  ( skv_12 )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((Xw a)) (or (and (not (ho_1 (ho_2 skv_4 skv_10) Xw)) (not (ho_1 (ho_2 skv_3 skv_10) Xw))) (ho_1 skv_34 Xw)) )
0.42/0.61	  ( skv_11 )
0.42/0.61	  ( skv_12 )
0.42/0.61	  ( skv_18 )
0.42/0.61	  ( skv_20 )
0.42/0.61	  ( skv_21 )
0.42/0.61	  ( skv_26 )
0.42/0.61	  ( skv_27 )
0.42/0.61	  ( skv_31 )
0.42/0.61	)
0.42/0.61	(instantiation (forall ((Xu a) (Xv a)) (or (and (not (ho_1 (ho_2 skv_4 Xu) Xv)) (not (ho_1 (ho_2 skv_3 Xu) Xv))) (not (ho_1 skv_34 Xu)) (ho_1 skv_34 Xv)) )
0.42/0.61	  ( skv_5, skv_35 )
0.42/0.61	  ( skv_5, skv_36 )
0.42/0.61	  ( skv_5, skv_37 )
0.42/0.61	  ( skv_5, skv_38 )
0.42/0.61	  ( skv_10, skv_12 )
0.42/0.61	  ( skv_10, skv_18 )
0.42/0.61	  ( skv_10, skv_20 )
0.42/0.61	  ( skv_10, skv_21 )
0.42/0.61	  ( skv_10, skv_26 )
0.42/0.61	  ( skv_10, skv_27 )
0.42/0.61	  ( skv_10, skv_31 )
0.42/0.61	  ( skv_32, skv_33 )
0.42/0.61	  ( skv_35, skv_36 )
0.42/0.61	  ( skv_37, skv_38 )
0.42/0.61	)
0.42/0.61	% SZS output end Proof for theBenchmark
0.42/0.61	EOF