0.09/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.09/0.10	% Command    : do_CVC4 %s %d
0.10/0.30	% Computer   : n010.cluster.edu
0.10/0.30	% Model      : x86_64 x86_64
0.10/0.30	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.30	% Memory     : 8042.1875MB
0.10/0.30	% OS         : Linux 3.10.0-693.el7.x86_64
0.10/0.30	% CPULimit   : 960
0.10/0.30	% WCLimit    : 120
0.10/0.30	% DateTime   : Thu Jul  2 06:55:28 EDT 2020
0.10/0.30	% CPUTime    : 
0.15/0.41	%----Proving TH0
0.15/0.41	------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960...
0.15/0.41	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
0.15/0.45	% SZS status Theorem for theBenchmark
0.15/0.45	% SZS output start Proof for theBenchmark
0.15/0.45	(skolem (forall ((BOUND_VARIABLE_583 |u_(-> a a Bool)|) (BOUND_VARIABLE_587 |u_(-> a a Bool)|) (Xx a) (Xy a) (BOUND_VARIABLE_570 |u_(-> a a Bool)|)) (or (not (forall ((BOUND_VARIABLE_610 |u_(-> a a Bool)|)) (or (not (forall ((Xx0 a) (Xy0 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_610 Xx0))) (or (not (ho_2 _let_0 Xy0)) (not (ho_2 (ho_1 BOUND_VARIABLE_610 Xy0) Xz)) (ho_2 _let_0 Xz))) )) (not (forall ((Xx0 a) (Xy0 a)) (or (and (not (forall ((BOUND_VARIABLE_640 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 BOUND_VARIABLE_587 Xx1) Xy1)) (ho_2 (ho_1 BOUND_VARIABLE_640 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_640 Xx1))) (or (not (ho_2 _let_0 Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_640 Xy1) Xz)) (ho_2 _let_0 Xz))) )) (ho_2 (ho_1 BOUND_VARIABLE_640 Xx0) Xy0)) )) (not (forall ((BOUND_VARIABLE_615 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 BOUND_VARIABLE_583 Xx1) Xy1)) (ho_2 (ho_1 BOUND_VARIABLE_615 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_615 Xx1))) (or (not (ho_2 (ho_1 BOUND_VARIABLE_615 Xy1) Xz)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz))) )) (ho_2 (ho_1 BOUND_VARIABLE_615 Xx0) Xy0)) ))) (ho_2 (ho_1 BOUND_VARIABLE_610 Xx0) Xy0)) )) (ho_2 (ho_1 BOUND_VARIABLE_610 Xx) Xy)) )) (not (forall ((Xx0 a) (Xy0 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_570 Xx0))) (or (not (ho_2 _let_0 Xy0)) (not (ho_2 (ho_1 BOUND_VARIABLE_570 Xy0) Xz)) (ho_2 _let_0 Xz))) )) (not (forall ((Xx0 a) (Xy0 a)) (or (and (not (ho_2 (ho_1 BOUND_VARIABLE_587 Xx0) Xy0)) (not (ho_2 (ho_1 BOUND_VARIABLE_583 Xx0) Xy0))) (ho_2 (ho_1 BOUND_VARIABLE_570 Xx0) Xy0)) )) (ho_2 (ho_1 BOUND_VARIABLE_570 Xx) Xy)) )
0.15/0.45	  ( skv_3 skv_4 skv_5 skv_6 skv_7 )
0.15/0.45	)
0.15/0.45	(skolem (forall ((Xx0 a) (Xy0 a)) (or (and (not (forall ((BOUND_VARIABLE_640 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (ho_2 (ho_1 BOUND_VARIABLE_640 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_640 Xx1))) (or (not (ho_2 _let_0 Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_640 Xy1) Xz)) (ho_2 _let_0 Xz))) )) (ho_2 (ho_1 BOUND_VARIABLE_640 Xx0) Xy0)) )) (not (forall ((BOUND_VARIABLE_615 |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_615 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_615 Xx1))) (or (not (ho_2 (ho_1 BOUND_VARIABLE_615 Xy1) Xz)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz))) )) (ho_2 (ho_1 BOUND_VARIABLE_615 Xx0) Xy0)) ))) (ho_2 (ho_1 skv_7 Xx0) Xy0)) )
0.15/0.45	  ( skv_8 skv_9 )
0.15/0.45	)
0.15/0.45	(skolem (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (ho_2 (ho_1 skv_7 Xx1) Xy1)) )
0.15/0.45	  ( skv_10 skv_11 )
0.15/0.45	)
0.15/0.45	(skolem (forall ((Xx0 a) (Xy0 a) (Xz a)) (let ((_let_0 (ho_1 skv_3 Xx0))) (or (not (ho_2 _let_0 Xy0)) (not (ho_2 (ho_1 skv_3 Xy0) Xz)) (ho_2 _let_0 Xz))) )
0.15/0.45	  ( skv_12 skv_13 skv_14 )
0.15/0.45	)
0.15/0.45	(skolem (forall ((Xx0 a) (Xy0 a) (Xz a)) (let ((_let_0 (ho_1 skv_4 Xx0))) (or (not (ho_2 _let_0 Xy0)) (not (ho_2 (ho_1 skv_4 Xy0) Xz)) (ho_2 _let_0 Xz))) )
0.15/0.45	  ( skv_15 skv_16 skv_17 )
0.15/0.45	)
0.15/0.45	(skolem (forall ((BOUND_VARIABLE_640 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (ho_2 (ho_1 BOUND_VARIABLE_640 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_640 Xx1))) (or (not (ho_2 _let_0 Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_640 Xy1) Xz)) (ho_2 _let_0 Xz))) )) (ho_2 (ho_1 BOUND_VARIABLE_640 skv_8) skv_9)) )
0.15/0.45	  ( skv_18 )
0.15/0.45	)
0.15/0.45	(skolem (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 skv_3 Xx1))) (or (not (ho_2 (ho_1 skv_3 Xy1) Xz)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz))) )
0.15/0.45	  ( skv_19 skv_20 skv_21 )
0.15/0.45	)
0.15/0.45	(skolem (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_3 Xx1) Xy1)) (ho_2 (ho_1 skv_4 Xx1) Xy1)) )
0.15/0.45	  ( skv_22 skv_23 )
0.15/0.45	)
0.15/0.45	(skolem (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_3 Xx1) Xy1)) (ho_2 (ho_1 skv_7 Xx1) Xy1)) )
0.15/0.45	  ( skv_24 skv_25 )
0.15/0.45	)
0.15/0.45	(skolem (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_3 Xx1) Xy1)) (ho_2 (ho_1 skv_18 Xx1) Xy1)) )
0.15/0.45	  ( skv_26 skv_27 )
0.15/0.45	)
0.15/0.45	(skolem (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 skv_7 Xx1))) (or (not (ho_2 (ho_1 skv_7 Xy1) Xz)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz))) )
0.15/0.45	  ( skv_28 skv_29 skv_30 )
0.15/0.45	)
0.15/0.45	(instantiation (forall ((BOUND_VARIABLE_610 |u_(-> a a Bool)|)) (or (not (forall ((Xx0 a) (Xy0 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_610 Xx0))) (or (not (ho_2 _let_0 Xy0)) (not (ho_2 (ho_1 BOUND_VARIABLE_610 Xy0) Xz)) (ho_2 _let_0 Xz))) )) (not (forall ((Xx0 a) (Xy0 a)) (or (and (not (forall ((BOUND_VARIABLE_640 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (ho_2 (ho_1 BOUND_VARIABLE_640 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_640 Xx1))) (or (not (ho_2 _let_0 Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_640 Xy1) Xz)) (ho_2 _let_0 Xz))) )) (ho_2 (ho_1 BOUND_VARIABLE_640 Xx0) Xy0)) )) (not (forall ((BOUND_VARIABLE_615 |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_615 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_615 Xx1))) (or (not (ho_2 (ho_1 BOUND_VARIABLE_615 Xy1) Xz)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz))) )) (ho_2 (ho_1 BOUND_VARIABLE_615 Xx0) Xy0)) ))) (ho_2 (ho_1 BOUND_VARIABLE_610 Xx0) Xy0)) )) (ho_2 (ho_1 BOUND_VARIABLE_610 skv_5) skv_6)) )
0.15/0.45	  ( skv_3 )
0.15/0.45	  ( skv_4 )
0.15/0.45	  ( skv_7 )
0.15/0.45	)
0.15/0.45	(instantiation (forall ((Xx0 a) (Xy0 a) (Xz a)) (let ((_let_0 (ho_1 skv_7 Xx0))) (or (not (ho_2 _let_0 Xy0)) (not (ho_2 (ho_1 skv_7 Xy0) Xz)) (ho_2 _let_0 Xz))) )
0.15/0.45	  ( skv_28, skv_29, skv_30 )
0.15/0.45	)
0.15/0.45	(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_7 Xx0) Xy0)) )
0.15/0.45	  ( skv_5, skv_6 )
0.15/0.45	  ( skv_8, skv_9 )
0.15/0.45	  ( skv_10, skv_11 )
0.15/0.45	  ( skv_12, skv_13 )
0.15/0.45	  ( skv_12, skv_14 )
0.15/0.45	  ( skv_13, skv_14 )
0.15/0.45	  ( skv_15, skv_16 )
0.15/0.45	  ( skv_15, skv_17 )
0.15/0.45	  ( skv_16, skv_17 )
0.15/0.45	  ( skv_24, skv_25 )
0.15/0.45	)
0.15/0.45	(instantiation (forall ((BOUND_VARIABLE_640 |u_(-> a a Bool)|)) (or (not (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (ho_2 (ho_1 BOUND_VARIABLE_640 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_640 Xx1))) (or (not (ho_2 _let_0 Xy1)) (not (ho_2 (ho_1 BOUND_VARIABLE_640 Xy1) Xz)) (ho_2 _let_0 Xz))) )) (ho_2 (ho_1 BOUND_VARIABLE_640 skv_8) skv_9)) )
0.15/0.45	  ( skv_7 )
0.15/0.45	)
0.15/0.45	(instantiation (forall ((BOUND_VARIABLE_615 |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_615 Xx1) Xy1)) )) (not (forall ((Xx1 a) (Xy1 a) (Xz a)) (let ((_let_0 (ho_1 BOUND_VARIABLE_615 Xx1))) (or (not (ho_2 (ho_1 BOUND_VARIABLE_615 Xy1) Xz)) (not (ho_2 _let_0 Xy1)) (ho_2 _let_0 Xz))) )) (ho_2 (ho_1 BOUND_VARIABLE_615 skv_8) skv_9)) )
0.15/0.45	  ( skv_3 )
0.15/0.45	  ( skv_4 )
0.15/0.45	  ( skv_7 )
0.15/0.45	  ( skv_18 )
0.15/0.45	)
0.15/0.45	(instantiation (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (ho_2 (ho_1 skv_7 Xx1) Xy1)) )
0.15/0.45	  ( skv_15, skv_16 )
0.15/0.45	  ( skv_16, skv_17 )
0.15/0.45	)
0.15/0.45	(instantiation (forall ((Xx1 a) (Xy1 a)) (or (not (ho_2 (ho_1 skv_4 Xx1) Xy1)) (ho_2 (ho_1 skv_18 Xx1) Xy1)) )
0.15/0.45	  ( skv_15, skv_16 )
0.15/0.45	  ( skv_16, skv_17 )
0.15/0.45	)
0.15/0.45	% SZS output end Proof for theBenchmark
0.15/0.46	EOF