0.00/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.09/0.10	% Command    : do_CVC4 %s %d
0.09/0.30	% Computer   : n010.cluster.edu
0.09/0.30	% Model      : x86_64 x86_64
0.09/0.30	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.30	% Memory     : 8042.1875MB
0.09/0.30	% OS         : Linux 3.10.0-693.el7.x86_64
0.09/0.30	% CPULimit   : 960
0.09/0.30	% WCLimit    : 120
0.09/0.30	% DateTime   : Thu Jul  2 07:14:12 EDT 2020
0.09/0.30	% CPUTime    : 
0.15/0.40	%----Proving TH0
0.15/0.40	------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960...
0.15/0.40	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
0.65/0.84	% SZS status Theorem for theBenchmark
0.65/0.84	% SZS output start Proof for theBenchmark
0.65/0.84	(skolem (forall ((BOUND_VARIABLE_1006 |u_(-> a a Bool)|) (BOUND_VARIABLE_1010 |u_(-> a a Bool)|) (Xx a) (Xy a) (BOUND_VARIABLE_900 a) (BOUND_VARIABLE_901 a) (BOUND_VARIABLE_902 a) (BOUND_VARIABLE_1110 |u_(-> a a Bool)|) (BOUND_VARIABLE_926 a) (BOUND_VARIABLE_927 a) (BOUND_VARIABLE_1020 |u_(-> a a Bool)|) (BOUND_VARIABLE_978 |u_(-> a a Bool)|)) (or (and (not (forall ((BOUND_VARIABLE_1205 |u_(-> a a Bool)|)) (or (not (forall ((Xx0 a) (Xy0 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1205 Xx0))) (or (not (ho_2 (ho_1 BOUND_VARIABLE_1205 Xy0) Xz)) (not (ho_2 _let_0 Xy0)) (ho_2 _let_0 Xz))) )) (not (forall ((Xx0 a) (Xy0 a)) (or (and (not (ho_2 (ho_1 BOUND_VARIABLE_1006 Xx0) Xy0)) (not (ho_2 (ho_1 BOUND_VARIABLE_1010 Xx0) Xy0))) (ho_2 (ho_1 BOUND_VARIABLE_1205 Xx0) Xy0)) )) (ho_2 (ho_1 BOUND_VARIABLE_1205 Xx) Xy)) )) (or (not (forall ((BOUND_VARIABLE_1175 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a)) (or (and (not (ho_2 (ho_1 BOUND_VARIABLE_1010 Xx1) Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_1006 Xx1) Xy1))) (ho_2 (ho_1 BOUND_VARIABLE_1175 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz0 a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1175 Xx1))) (or (not (ho_2 (ho_1 BOUND_VARIABLE_1175 Xy1) Xz0)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz0))) )) (ho_2 (ho_1 BOUND_VARIABLE_1175 BOUND_VARIABLE_901) BOUND_VARIABLE_902)) )) (not (forall ((BOUND_VARIABLE_1144 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a)) (or (and (not (ho_2 (ho_1 BOUND_VARIABLE_1010 Xx1) Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_1006 Xx1) Xy1))) (ho_2 (ho_1 BOUND_VARIABLE_1144 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz0 a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1144 Xx1))) (or (not (ho_2 (ho_1 BOUND_VARIABLE_1144 Xy1) Xz0)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz0))) )) (ho_2 (ho_1 BOUND_VARIABLE_1144 BOUND_VARIABLE_900) BOUND_VARIABLE_901)) )) (not (forall ((Xx1 a) (Xy1 a)) (or (and (not (ho_2 (ho_1 BOUND_VARIABLE_1010 Xx1) Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_1006 Xx1) Xy1))) (ho_2 (ho_1 BOUND_VARIABLE_1110 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz0 a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1110 Xx1))) (or (not (ho_2 _let_0 Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_1110 Xy1) Xz0)) (ho_2 _let_0 Xz0))) )) (ho_2 (ho_1 BOUND_VARIABLE_1110 BOUND_VARIABLE_900) BOUND_VARIABLE_902)) (or (and (not (forall ((BOUND_VARIABLE_1081 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1081 Xx1))) (or (not (ho_2 (ho_1 BOUND_VARIABLE_1081 Xy1) Xz)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz))) )) (not (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 BOUND_VARIABLE_1010 Xx1) Xy1)) (ho_2 (ho_1 BOUND_VARIABLE_1081 Xx1) Xy1)) )) (ho_2 (ho_1 BOUND_VARIABLE_1081 BOUND_VARIABLE_926) BOUND_VARIABLE_927)) )) (not (forall ((BOUND_VARIABLE_1054 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 BOUND_VARIABLE_1006 Xx1) Xy1)) (ho_2 (ho_1 BOUND_VARIABLE_1054 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1054 Xx1))) (or (not (ho_2 (ho_1 BOUND_VARIABLE_1054 Xy1) Xz)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz))) )) (ho_2 (ho_1 BOUND_VARIABLE_1054 BOUND_VARIABLE_926) BOUND_VARIABLE_927)) ))) (not (forall ((Xx1 a) (Xy1 a)) (or (and (not (ho_2 (ho_1 BOUND_VARIABLE_1006 Xx1) Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_1010 Xx1) Xy1))) (ho_2 (ho_1 BOUND_VARIABLE_1020 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1020 Xx1))) (or (not (ho_2 (ho_1 BOUND_VARIABLE_1020 Xy1) Xz)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz))) )) (ho_2 (ho_1 BOUND_VARIABLE_1020 BOUND_VARIABLE_926) BOUND_VARIABLE_927))) (not (forall ((Xx0 a) (Xy0 a)) (or (and (not (ho_2 (ho_1 BOUND_VARIABLE_1010 Xx0) Xy0)) (not (ho_2 (ho_1 BOUND_VARIABLE_1006 Xx0) Xy0))) (ho_2 (ho_1 BOUND_VARIABLE_978 Xx0) Xy0)) )) (not (forall ((Xx0 a) (Xy0 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_978 Xx0))) (or (not (ho_2 (ho_1 BOUND_VARIABLE_978 Xy0) Xz)) (not (ho_2 _let_0 Xy0)) (ho_2 _let_0 Xz))) )) (ho_2 (ho_1 BOUND_VARIABLE_978 Xx) Xy)) )
0.65/0.84	  ( skv_3 skv_4 skv_5 skv_6 skv_7 skv_8 skv_9 skv_10 skv_11 skv_12 skv_13 skv_14 )
0.65/0.84	)
0.65/0.84	(skolem (forall ((BOUND_VARIABLE_1205 |u_(-> a a Bool)|)) (or (not (forall ((Xx0 a) (Xy0 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1205 Xx0))) (or (not (ho_2 (ho_1 BOUND_VARIABLE_1205 Xy0) Xz)) (not (ho_2 _let_0 Xy0)) (ho_2 _let_0 Xz))) )) (not (forall ((Xx0 a) (Xy0 a)) (or (and (not (ho_2 (ho_1 skv_3 Xx0) Xy0)) (not (ho_2 (ho_1 skv_4 Xx0) Xy0))) (ho_2 (ho_1 BOUND_VARIABLE_1205 Xx0) Xy0)) )) (ho_2 (ho_1 BOUND_VARIABLE_1205 skv_5) skv_6)) )
0.65/0.84	  ( skv_15 )
0.65/0.84	)
0.65/0.84	(skolem (forall ((Xx1 a) (Xy1 a) (Xz0 a)) (let ((_let_0 (ho_1 skv_10 Xx1))) (or (not (ho_2 (ho_1 skv_10 Xy1) Xz0)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz0))) )
0.65/0.84	  ( skv_16 skv_17 skv_18 )
0.65/0.84	)
0.65/0.84	(skolem (forall ((Xx1 a) (Xy1 a)) (let ((_let_0 (ho_1 skv_3 Xx1))) (let ((_let_1 (ho_2 _let_0 Xy1))) (or (and (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (not _let_1)) _let_1))) )
0.65/0.84	  ( skv_19 skv_20 )
0.65/0.84	)
0.65/0.84	(skolem (forall ((Xx1 a) (Xy1 a)) (let ((_let_0 (ho_1 skv_4 Xx1))) (let ((_let_1 (ho_2 _let_0 Xy1))) (or (and (not _let_1) (not (ho_2 (ho_1 skv_3 Xx1) Xy1))) _let_1))) )
0.65/0.84	  ( skv_21 skv_22 )
0.65/0.84	)
0.65/0.84	(skolem (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (ho_2 (ho_1 skv_13 Xx1) Xy1)) )
0.65/0.84	  ( skv_23 skv_24 )
0.65/0.84	)
0.65/0.84	(skolem (forall ((Xx1 a) (Xy1 a) (Xz0 a)) (let ((_let_0 (ho_1 skv_3 Xx1))) (or (not (ho_2 (ho_1 skv_3 Xy1) Xz0)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz0))) )
0.65/0.84	  ( skv_25 skv_26 skv_27 )
0.65/0.84	)
0.65/0.84	(skolem (forall ((Xx1 a) (Xy1 a) (Xz0 a)) (let ((_let_0 (ho_1 skv_4 Xx1))) (or (not (ho_2 (ho_1 skv_4 Xy1) Xz0)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz0))) )
0.65/0.84	  ( skv_28 skv_29 skv_30 )
0.65/0.84	)
0.65/0.84	(skolem (forall ((BOUND_VARIABLE_1081 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1081 Xx1))) (or (not (ho_2 (ho_1 BOUND_VARIABLE_1081 Xy1) Xz)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz))) )) (not (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (ho_2 (ho_1 BOUND_VARIABLE_1081 Xx1) Xy1)) )) (ho_2 (ho_1 BOUND_VARIABLE_1081 skv_11) skv_12)) )
0.65/0.84	  ( skv_31 )
0.65/0.84	)
0.65/0.84	(skolem (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_3 Xx1) Xy1)) (ho_2 (ho_1 skv_13 Xx1) Xy1)) )
0.65/0.84	  ( skv_32 skv_33 )
0.65/0.84	)
0.65/0.84	(skolem (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_3 Xx1) Xy1)) (ho_2 (ho_1 skv_31 Xx1) Xy1)) )
0.65/0.84	  ( skv_34 skv_35 )
0.65/0.84	)
0.65/0.84	(skolem (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_3 Xx1) Xy1)) (ho_2 (ho_1 skv_4 Xx1) Xy1)) )
0.65/0.84	  ( skv_36 skv_37 )
0.65/0.84	)
0.65/0.84	(instantiation (forall ((BOUND_VARIABLE_1205 |u_(-> a a Bool)|)) (or (not (forall ((Xx0 a) (Xy0 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1205 Xx0))) (or (not (ho_2 (ho_1 BOUND_VARIABLE_1205 Xy0) Xz)) (not (ho_2 _let_0 Xy0)) (ho_2 _let_0 Xz))) )) (not (forall ((Xx0 a) (Xy0 a)) (or (and (not (ho_2 (ho_1 skv_3 Xx0) Xy0)) (not (ho_2 (ho_1 skv_4 Xx0) Xy0))) (ho_2 (ho_1 BOUND_VARIABLE_1205 Xx0) Xy0)) )) (ho_2 (ho_1 BOUND_VARIABLE_1205 skv_5) skv_6)) )
0.65/0.84	  ( skv_14 )
0.65/0.84	)
0.65/0.84	(instantiation (forall ((BOUND_VARIABLE_1175 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a)) (or (and (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (not (ho_2 (ho_1 skv_3 Xx1) Xy1))) (ho_2 (ho_1 BOUND_VARIABLE_1175 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz0 a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1175 Xx1))) (or (not (ho_2 (ho_1 BOUND_VARIABLE_1175 Xy1) Xz0)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz0))) )) (ho_2 (ho_1 BOUND_VARIABLE_1175 skv_8) skv_9)) )
0.65/0.84	  ( skv_3 )
0.65/0.84	  ( skv_4 )
0.65/0.84	  ( skv_10 )
0.65/0.84	)
0.65/0.84	(instantiation (forall ((BOUND_VARIABLE_1144 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a)) (or (and (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (not (ho_2 (ho_1 skv_3 Xx1) Xy1))) (ho_2 (ho_1 BOUND_VARIABLE_1144 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz0 a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1144 Xx1))) (or (not (ho_2 (ho_1 BOUND_VARIABLE_1144 Xy1) Xz0)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz0))) )) (ho_2 (ho_1 BOUND_VARIABLE_1144 skv_7) skv_8)) )
0.65/0.84	  ( skv_3 )
0.65/0.84	  ( skv_4 )
0.65/0.84	  ( skv_10 )
0.65/0.84	  ( skv_14 )
0.65/0.84	  ( skv_15 )
0.65/0.84	)
0.65/0.84	(instantiation (forall ((Xx1 a) (Xy1 a)) (or (and (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (not (ho_2 (ho_1 skv_3 Xx1) Xy1))) (ho_2 (ho_1 skv_10 Xx1) Xy1)) )
0.65/0.84	  ( skv_7, skv_7 )
0.65/0.84	  ( skv_7, skv_9 )
0.65/0.84	  ( skv_7, skv_16 )
0.65/0.84	  ( skv_7, skv_17 )
0.65/0.84	  ( skv_7, skv_18 )
0.65/0.84	  ( skv_7, skv_19 )
0.65/0.84	  ( skv_7, skv_20 )
0.65/0.84	  ( skv_8, skv_9 )
0.65/0.84	  ( skv_8, skv_17 )
0.65/0.84	  ( skv_8, skv_18 )
0.65/0.84	  ( skv_9, skv_7 )
0.65/0.84	  ( skv_9, skv_8 )
0.65/0.84	  ( skv_9, skv_9 )
0.65/0.84	  ( skv_9, skv_16 )
0.65/0.84	  ( skv_9, skv_17 )
0.65/0.84	  ( skv_9, skv_18 )
0.65/0.84	  ( skv_9, skv_20 )
0.65/0.84	  ( skv_9, skv_21 )
0.65/0.84	  ( skv_16, skv_7 )
0.65/0.84	  ( skv_16, skv_8 )
0.65/0.84	  ( skv_16, skv_9 )
0.65/0.84	  ( skv_16, skv_16 )
0.65/0.84	  ( skv_16, skv_17 )
0.65/0.84	  ( skv_16, skv_18 )
0.65/0.84	  ( skv_16, skv_19 )
0.65/0.84	  ( skv_16, skv_20 )
0.65/0.84	  ( skv_16, skv_21 )
0.65/0.84	  ( skv_16, skv_22 )
0.65/0.84	  ( skv_17, skv_7 )
0.65/0.84	  ( skv_17, skv_8 )
0.65/0.84	  ( skv_17, skv_9 )
0.65/0.84	  ( skv_17, skv_16 )
0.65/0.84	  ( skv_17, skv_17 )
0.65/0.84	  ( skv_17, skv_18 )
0.65/0.84	  ( skv_17, skv_19 )
0.65/0.84	  ( skv_17, skv_20 )
0.65/0.84	  ( skv_17, skv_21 )
0.65/0.84	  ( skv_17, skv_22 )
0.65/0.84	  ( skv_19, skv_7 )
0.65/0.84	  ( skv_19, skv_8 )
0.65/0.84	  ( skv_19, skv_9 )
0.65/0.84	  ( skv_19, skv_16 )
0.65/0.84	  ( skv_19, skv_17 )
0.65/0.84	  ( skv_19, skv_18 )
0.65/0.84	  ( skv_19, skv_19 )
0.65/0.84	  ( skv_19, skv_20 )
0.65/0.84	  ( skv_19, skv_21 )
0.65/0.84	  ( skv_19, skv_22 )
0.65/0.84	  ( skv_20, skv_7 )
0.65/0.84	  ( skv_20, skv_8 )
0.65/0.84	  ( skv_20, skv_9 )
0.65/0.84	  ( skv_20, skv_16 )
0.65/0.84	  ( skv_20, skv_17 )
0.65/0.84	  ( skv_20, skv_18 )
0.65/0.84	  ( skv_21, skv_7 )
0.65/0.84	  ( skv_21, skv_8 )
0.65/0.84	  ( skv_21, skv_9 )
0.65/0.84	  ( skv_21, skv_16 )
0.65/0.84	  ( skv_21, skv_17 )
0.65/0.84	  ( skv_21, skv_18 )
0.65/0.84	  ( skv_21, skv_19 )
0.65/0.84	  ( skv_21, skv_20 )
0.65/0.84	  ( skv_21, skv_21 )
0.65/0.84	  ( skv_21, skv_22 )
0.65/0.84	  ( skv_22, skv_7 )
0.65/0.84	  ( skv_22, skv_8 )
0.65/0.84	  ( skv_22, skv_9 )
0.65/0.84	  ( skv_22, skv_16 )
0.65/0.84	  ( skv_22, skv_17 )
0.65/0.84	  ( skv_22, skv_18 )
0.65/0.84	  ( skv_22, skv_20 )
0.65/0.84	  ( skv_25, skv_26 )
0.65/0.84	  ( skv_25, skv_27 )
0.65/0.84	  ( skv_26, skv_27 )
0.65/0.84	  ( skv_28, skv_29 )
0.65/0.84	  ( skv_28, skv_30 )
0.65/0.84	  ( skv_29, skv_30 )
0.65/0.84	)
0.65/0.84	(instantiation (forall ((Xx1 a) (Xy1 a) (Xz0 a)) (let ((_let_0 (ho_1 skv_10 Xx1))) (or (not (ho_2 _let_0 Xy1)) (not (ho_2 (ho_1 skv_10 Xy1) Xz0)) (ho_2 _let_0 Xz0))) )
0.65/0.84	  ( skv_7, skv_7, skv_18 )
0.65/0.84	  ( skv_7, skv_8, skv_7 )
0.65/0.84	  ( skv_7, skv_8, skv_17 )
0.65/0.84	  ( skv_7, skv_8, skv_18 )
0.65/0.84	  ( skv_7, skv_9, skv_16 )
0.65/0.84	  ( skv_7, skv_9, skv_19 )
0.65/0.84	  ( skv_7, skv_16, skv_9 )
0.65/0.84	  ( skv_7, skv_19, skv_9 )
0.65/0.84	  ( skv_7, skv_20, skv_9 )
0.65/0.84	  ( skv_7, skv_21, skv_9 )
0.65/0.84	  ( skv_8, skv_17, skv_9 )
0.65/0.84	  ( skv_16, skv_16, skv_16 )
0.65/0.84	  ( skv_16, skv_17, skv_18 )
0.65/0.84	  ( skv_16, skv_19, skv_17 )
0.65/0.84	  ( skv_16, skv_20, skv_8 )
0.65/0.84	  ( skv_16, skv_21, skv_17 )
0.65/0.84	  ( skv_16, skv_22, skv_9 )
0.65/0.84	  ( skv_17, skv_9, skv_17 )
0.65/0.84	  ( skv_17, skv_16, skv_19 )
0.65/0.84	  ( skv_17, skv_17, skv_17 )
0.65/0.84	  ( skv_17, skv_19, skv_18 )
0.65/0.84	  ( skv_17, skv_21, skv_18 )
0.65/0.84	  ( skv_17, skv_22, skv_18 )
0.65/0.84	  ( skv_19, skv_9, skv_21 )
0.65/0.84	  ( skv_19, skv_16, skv_22 )
0.65/0.84	  ( skv_19, skv_17, skv_9 )
0.65/0.84	  ( skv_19, skv_19, skv_8 )
0.65/0.84	  ( skv_19, skv_20, skv_8 )
0.65/0.84	  ( skv_19, skv_20, skv_21 )
0.65/0.84	  ( skv_19, skv_22, skv_9 )
0.65/0.84	  ( skv_20, skv_9, skv_16 )
0.65/0.84	  ( skv_21, skv_7, skv_8 )
0.65/0.84	  ( skv_21, skv_9, skv_16 )
0.65/0.84	  ( skv_21, skv_16, skv_20 )
0.65/0.84	  ( skv_21, skv_17, skv_16 )
0.65/0.84	  ( skv_21, skv_19, skv_20 )
0.65/0.84	  ( skv_21, skv_20, skv_8 )
0.65/0.84	  ( skv_21, skv_21, skv_18 )
0.65/0.84	  ( skv_21, skv_22, skv_19 )
0.65/0.84	  ( skv_21, skv_22, skv_20 )
0.65/0.84	  ( skv_22, skv_7, skv_8 )
0.65/0.84	)
0.65/0.84	(instantiation (forall ((BOUND_VARIABLE_1081 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1081 Xx1))) (or (not (ho_2 (ho_1 BOUND_VARIABLE_1081 Xy1) Xz)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz))) )) (not (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (ho_2 (ho_1 BOUND_VARIABLE_1081 Xx1) Xy1)) )) (ho_2 (ho_1 BOUND_VARIABLE_1081 skv_11) skv_12)) )
0.65/0.84	  ( skv_13 )
0.65/0.84	)
0.65/0.85	(instantiation (forall ((BOUND_VARIABLE_1054 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_3 Xx1) Xy1)) (ho_2 (ho_1 BOUND_VARIABLE_1054 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_1054 Xx1))) (or (not (ho_2 (ho_1 BOUND_VARIABLE_1054 Xy1) Xz)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz))) )) (ho_2 (ho_1 BOUND_VARIABLE_1054 skv_11) skv_12)) )
0.65/0.85	  ( skv_3 )
0.65/0.85	  ( skv_4 )
0.65/0.85	  ( skv_13 )
0.65/0.85	  ( skv_31 )
0.65/0.85	)
0.65/0.85	(instantiation (forall ((Xx1 a) (Xy1 a)) (or (and (not (ho_2 (ho_1 skv_3 Xx1) Xy1)) (not (ho_2 (ho_1 skv_4 Xx1) Xy1))) (ho_2 (ho_1 skv_13 Xx1) Xy1)) )
0.65/0.85	  ( skv_11, skv_12 )
0.65/0.85	  ( skv_19, skv_20 )
0.65/0.85	  ( skv_21, skv_22 )
0.65/0.85	  ( skv_23, skv_24 )
0.65/0.85	  ( skv_25, skv_26 )
0.65/0.85	  ( skv_25, skv_27 )
0.65/0.85	  ( skv_26, skv_27 )
0.65/0.85	  ( skv_28, skv_29 )
0.65/0.85	  ( skv_28, skv_30 )
0.65/0.85	  ( skv_29, skv_30 )
0.65/0.85	  ( skv_32, skv_33 )
0.65/0.85	)
0.65/0.85	(instantiation (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 skv_13 Xx1))) (or (not (ho_2 (ho_1 skv_13 Xy1) Xz)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz))) )
0.65/0.85	  ( skv_11, skv_19, skv_20 )
0.65/0.85	  ( skv_19, skv_21, skv_22 )
0.65/0.85	  ( skv_21, skv_23, skv_24 )
0.65/0.85	)
0.65/0.85	(instantiation (forall ((Xx0 a) (Xy0 a)) (or (and (not (ho_2 (ho_1 skv_4 Xx0) Xy0)) (not (ho_2 (ho_1 skv_3 Xx0) Xy0))) (ho_2 (ho_1 skv_14 Xx0) Xy0)) )
0.65/0.85	  ( skv_5, skv_5 )
0.65/0.85	  ( skv_5, skv_6 )
0.65/0.85	  ( skv_5, skv_7 )
0.65/0.85	  ( skv_5, skv_8 )
0.65/0.85	  ( skv_5, skv_19 )
0.65/0.85	  ( skv_5, skv_20 )
0.65/0.85	  ( skv_7, skv_5 )
0.65/0.85	  ( skv_7, skv_6 )
0.65/0.85	  ( skv_7, skv_8 )
0.65/0.85	  ( skv_7, skv_21 )
0.65/0.85	  ( skv_19, skv_6 )
0.65/0.85	  ( skv_19, skv_20 )
0.65/0.85	  ( skv_21, skv_6 )
0.65/0.85	  ( skv_21, skv_22 )
0.65/0.85	  ( skv_25, skv_26 )
0.65/0.85	  ( skv_25, skv_27 )
0.65/0.85	  ( skv_26, skv_27 )
0.65/0.85	  ( skv_28, skv_29 )
0.65/0.85	  ( skv_28, skv_30 )
0.65/0.85	  ( skv_29, skv_30 )
0.65/0.85	)
0.65/0.85	(instantiation (forall ((Xx0 a) (Xy0 a) (Xz a)) (let ((_let_0 (ho_1 skv_14 Xx0))) (or (not (ho_2 (ho_1 skv_14 Xy0) Xz)) (not (ho_2 _let_0 Xy0)) (ho_2 _let_0 Xz))) )
0.65/0.85	  ( skv_5, skv_7, skv_6 )
0.65/0.85	  ( skv_5, skv_7, skv_8 )
0.65/0.85	  ( skv_5, skv_19, skv_6 )
0.65/0.85	  ( skv_5, skv_19, skv_20 )
0.65/0.85	  ( skv_7, skv_5, skv_5 )
0.65/0.85	  ( skv_7, skv_5, skv_8 )
0.65/0.85	  ( skv_7, skv_7, skv_5 )
0.65/0.85	  ( skv_7, skv_7, skv_7 )
0.65/0.85	  ( skv_7, skv_7, skv_21 )
0.65/0.85	  ( skv_7, skv_21, skv_6 )
0.65/0.85	)
0.65/0.85	(instantiation (forall ((Xx0 a) (Xy0 a) (Xz a)) (let ((_let_0 (ho_1 skv_15 Xx0))) (or (not (ho_2 (ho_1 skv_15 Xy0) Xz)) (not (ho_2 _let_0 Xy0)) (ho_2 _let_0 Xz))) )
0.65/0.85	  ( skv_5, skv_7, skv_8 )
0.65/0.85	  ( skv_5, skv_19, skv_20 )
0.65/0.85	  ( skv_7, skv_7, skv_8 )
0.65/0.85	  ( skv_7, skv_19, skv_20 )
0.65/0.85	  ( skv_7, skv_21, skv_22 )
0.65/0.85	  ( skv_19, skv_7, skv_8 )
0.65/0.85	  ( skv_19, skv_21, skv_22 )
0.65/0.85	  ( skv_21, skv_5, skv_8 )
0.65/0.85	)
0.65/0.85	(instantiation (forall ((Xx0 a) (Xy0 a)) (or (and (not (ho_2 (ho_1 skv_3 Xx0) Xy0)) (not (ho_2 (ho_1 skv_4 Xx0) Xy0))) (ho_2 (ho_1 skv_15 Xx0) Xy0)) )
0.65/0.85	  ( skv_7, skv_8 )
0.65/0.85	  ( skv_19, skv_20 )
0.65/0.85	  ( skv_21, skv_22 )
0.65/0.85	  ( skv_25, skv_26 )
0.65/0.85	  ( skv_25, skv_27 )
0.65/0.85	  ( skv_26, skv_27 )
0.65/0.85	  ( skv_28, skv_29 )
0.65/0.85	  ( skv_28, skv_30 )
0.65/0.85	  ( skv_29, skv_30 )
0.65/0.85	)
0.65/0.85	(instantiation (forall ((Xx1 a) (Xy1 a) (Xz0 a)) (let ((_let_0 (ho_1 skv_10 Xx1))) (or (not (ho_2 (ho_1 skv_10 Xy1) Xz0)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz0))) )
0.65/0.85	  ( skv_7, skv_7, skv_17 )
0.65/0.85	  ( skv_7, skv_7, skv_18 )
0.65/0.85	  ( skv_7, skv_8, skv_9 )
0.65/0.85	  ( skv_7, skv_8, skv_17 )
0.65/0.85	  ( skv_7, skv_8, skv_18 )
0.65/0.85	  ( skv_7, skv_9, skv_16 )
0.65/0.85	  ( skv_7, skv_17, skv_18 )
0.65/0.85	  ( skv_16, skv_7, skv_8 )
0.65/0.85	  ( skv_16, skv_16, skv_18 )
0.65/0.85	  ( skv_16, skv_19, skv_20 )
0.65/0.85	  ( skv_16, skv_20, skv_8 )
0.65/0.85	  ( skv_16, skv_20, skv_17 )
0.65/0.85	  ( skv_16, skv_20, skv_18 )
0.65/0.85	  ( skv_16, skv_21, skv_22 )
0.65/0.85	  ( skv_16, skv_22, skv_9 )
0.65/0.85	  ( skv_16, skv_22, skv_17 )
0.65/0.85	  ( skv_16, skv_22, skv_18 )
0.65/0.85	  ( skv_17, skv_7, skv_8 )
0.65/0.85	  ( skv_17, skv_9, skv_17 )
0.65/0.85	  ( skv_17, skv_9, skv_18 )
0.65/0.85	  ( skv_17, skv_17, skv_8 )
0.65/0.85	  ( skv_17, skv_19, skv_20 )
0.65/0.85	  ( skv_19, skv_7, skv_8 )
0.65/0.85	  ( skv_19, skv_9, skv_7 )
0.65/0.85	  ( skv_19, skv_9, skv_9 )
0.65/0.85	  ( skv_19, skv_9, skv_21 )
0.65/0.85	  ( skv_19, skv_19, skv_8 )
0.65/0.85	  ( skv_19, skv_19, skv_18 )
0.65/0.85	  ( skv_19, skv_20, skv_7 )
0.65/0.85	  ( skv_19, skv_20, skv_8 )
0.65/0.85	  ( skv_19, skv_20, skv_18 )
0.65/0.85	  ( skv_19, skv_21, skv_22 )
0.65/0.85	  ( skv_19, skv_22, skv_8 )
0.65/0.85	  ( skv_19, skv_22, skv_9 )
0.65/0.85	  ( skv_19, skv_22, skv_18 )
0.65/0.85	  ( skv_20, skv_9, skv_16 )
0.65/0.85	  ( skv_21, skv_9, skv_8 )
0.65/0.85	  ( skv_21, skv_9, skv_16 )
0.65/0.85	  ( skv_21, skv_9, skv_20 )
0.65/0.85	  ( skv_21, skv_16, skv_8 )
0.65/0.85	  ( skv_21, skv_16, skv_9 )
0.65/0.85	  ( skv_21, skv_16, skv_19 )
0.65/0.85	  ( skv_21, skv_17, skv_20 )
0.65/0.85	  ( skv_21, skv_19, skv_20 )
0.65/0.85	  ( skv_21, skv_20, skv_8 )
0.65/0.85	  ( skv_21, skv_20, skv_16 )
0.65/0.85	  ( skv_21, skv_20, skv_17 )
0.65/0.85	  ( skv_21, skv_21, skv_8 )
0.65/0.85	  ( skv_21, skv_21, skv_18 )
0.65/0.85	  ( skv_21, skv_22, skv_16 )
0.65/0.85	  ( skv_21, skv_22, skv_17 )
0.65/0.85	  ( skv_21, skv_22, skv_20 )
0.65/0.85	)
0.65/0.85	(instantiation (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (ho_2 (ho_1 skv_13 Xx1) Xy1)) )
0.65/0.85	  ( skv_28, skv_29 )
0.65/0.85	  ( skv_29, skv_30 )
0.65/0.85	)
0.65/0.85	(instantiation (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (ho_2 (ho_1 skv_31 Xx1) Xy1)) )
0.65/0.85	  ( skv_19, skv_20 )
0.65/0.85	  ( skv_28, skv_29 )
0.65/0.85	  ( skv_29, skv_30 )
0.65/0.85	)
0.65/0.85	% SZS output end Proof for theBenchmark
0.65/0.85	EOF