0.04/0.14	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.15/0.15	% Command    : do_CVC4 %s %d
0.15/0.37	% Computer   : n026.cluster.edu
0.15/0.37	% Model      : x86_64 x86_64
0.15/0.37	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.37	% Memory     : 8042.1875MB
0.15/0.37	% OS         : Linux 3.10.0-693.el7.x86_64
0.15/0.37	% CPULimit   : 960
0.15/0.37	% WCLimit    : 120
0.15/0.37	% DateTime   : Thu Jul  2 06:56:39 EDT 2020
0.15/0.37	% CPUTime    : 
0.22/0.53	%----Proving TH0
0.22/0.54	------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960...
0.22/0.54	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
0.38/0.78	% SZS status Theorem for theBenchmark
0.38/0.78	% SZS output start Proof for theBenchmark
0.38/0.78	(skolem (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted)) (or (not (= (ho_22 (ho_21 k_20 Xx) (ho_22 (ho_21 k_20 Xy) emptyset)) (ho_22 (ho_21 k_20 Xz) emptyset))) (= Xx Xy)) )
0.38/0.78	  ( skv_63 skv_64 skv_65 )
0.38/0.78	)
0.38/0.78	(skolem (forall ((B $$unsorted)) (or (not (ho_25 (ho_24 k_23 B) omega)) (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_24 k_23 Xx))) (or (not (ho_25 _let_0 B)) (not (ho_25 _let_0 omega)))) ))) )
0.38/0.78	  ( skv_66 )
0.38/0.78	)
0.38/0.78	(skolem (forall ((B $$unsorted)) (or (not (ho_25 (ho_24 k_23 B) (ho_22 (ho_21 k_20 emptyset) emptyset))) (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_24 k_23 Xx))) (or (not (ho_25 _let_0 B)) (not (ho_25 _let_0 (ho_22 (ho_21 k_20 emptyset) emptyset))))) ))) )
0.38/0.78	  ( skv_67 )
0.38/0.78	)
0.38/0.78	(skolem (forall ((B $$unsorted)) (or (not (ho_25 (ho_24 k_23 B) (ho_53 k_52 BOOLEAN_TERM_VARIABLE_8669))) (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_24 k_23 Xx))) (or (not (ho_25 _let_0 B)) (not (ho_25 _let_0 (ho_53 k_52 BOOLEAN_TERM_VARIABLE_8669))))) ))) )
0.38/0.78	  ( skv_68 )
0.38/0.78	)
0.38/0.78	(skolem (forall ((Xx $$unsorted)) (or (not (ho_25 (ho_24 k_23 emptyset) Xx)) (not (forall ((Xy $$unsorted)) (or (not (ho_25 (ho_24 k_23 emptyset) Xy)) (= Xx Xy)) ))) )
0.38/0.78	  ( skv_69 )
0.38/0.78	)
0.38/0.78	(skolem (forall ((Xx $$unsorted)) (or (not (ho_25 k_55 Xx)) (not (forall ((Xy $$unsorted)) (or (not (ho_25 k_55 Xy)) (= Xx Xy)) ))) )
0.38/0.78	  ( skv_70 )
0.38/0.78	)
0.38/0.78	(skolem (forall ((Xx $$unsorted)) (not (ho_25 (ho_24 k_23 emptyset) Xx)) )
0.38/0.78	  ( skv_71 )
0.38/0.78	)
0.38/0.78	(skolem (forall ((Xx $$unsorted)) (not (ho_25 k_55 Xx)) )
0.38/0.78	  ( skv_72 )
0.38/0.78	)
0.38/0.78	(skolem (forall ((Xx $$unsorted)) (not (forall ((Xy $$unsorted)) (= (ho_25 (ho_24 k_23 emptyset) Xy) (= Xx Xy)) )) )
0.38/0.78	  ( skv_73 )
0.38/0.78	)
0.38/0.78	(skolem (forall ((Xx $$unsorted)) (not (forall ((Xy $$unsorted)) (= (ho_25 k_55 Xy) (= Xx Xy)) )) )
0.38/0.78	  ( skv_74 )
0.38/0.78	)
0.38/0.78	(skolem (forall ((Xx $$unsorted) (Xy $$unsorted)) (let ((_let_0 (ho_24 k_23 emptyset))) (or (not (ho_25 _let_0 Xx)) (not (ho_25 _let_0 Xy)) (= Xx Xy))) )
0.38/0.78	  ( skv_75 skv_76 )
0.38/0.78	)
0.38/0.78	(skolem (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (ho_25 k_55 Xx)) (not (ho_25 k_55 Xy)) (= Xx Xy)) )
0.38/0.78	  ( skv_77 skv_78 )
0.38/0.78	)
0.38/0.78	(skolem (forall ((BOUND_VARIABLE_7360 $$unsorted)) (or (not (ho_25 (ho_24 k_23 emptyset) BOUND_VARIABLE_7360)) (= omega BOUND_VARIABLE_7360)) )
0.38/0.78	  ( skv_79 )
0.38/0.78	)
0.38/0.78	(skolem (forall ((BOUND_VARIABLE_7360 $$unsorted)) (or (not (ho_25 (ho_24 k_23 emptyset) BOUND_VARIABLE_7360)) (= BOUND_VARIABLE_7360 (ho_22 (ho_21 k_20 emptyset) emptyset))) )
0.38/0.78	  ( skv_80 )
0.38/0.78	)
0.38/0.78	(skolem (forall ((BOUND_VARIABLE_7360 $$unsorted)) (or (not (ho_25 (ho_24 k_23 emptyset) BOUND_VARIABLE_7360)) (= BOUND_VARIABLE_7360 (ho_53 k_52 BOOLEAN_TERM_VARIABLE_8669))) )
0.38/0.78	  ( skv_81 )
0.38/0.78	)
0.38/0.78	(skolem (forall ((BOUND_VARIABLE_7360 $$unsorted)) (or (not (ho_25 k_55 BOUND_VARIABLE_7360)) (= BOUND_VARIABLE_7360 (ho_53 k_52 BOOLEAN_TERM_VARIABLE_8669))) )
0.38/0.78	  ( skv_82 )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((Xx $$unsorted)) (not (ho_25 (ho_24 k_23 Xx) emptyset)) )
0.38/0.78	  ( emptyset )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((A $$unsorted) (Xx $$unsorted)) (= (ho_25 (ho_24 k_23 Xx) (ho_22 k_47 A)) (not (forall ((B $$unsorted)) (or (not (ho_25 (ho_24 k_23 Xx) B)) (not (ho_25 (ho_24 k_23 B) A))) ))) )
0.38/0.78	  ( (ho_22 (ho_21 k_20 emptyset) emptyset), emptyset )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((Xx $$unsorted)) (or (not (ho_25 (ho_24 k_23 Xx) omega)) (ho_25 (ho_24 k_23 (ho_22 (ho_21 k_20 Xx) Xx)) omega)) )
0.38/0.78	  ( emptyset )
0.38/0.78	  ( skv_63 )
0.38/0.78	  ( skv_64 )
0.38/0.78	  ( skv_65 )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((A $$unsorted) (BOUND_VARIABLE_5335 $$unsorted)) (or (not (ho_25 (ho_24 k_23 BOUND_VARIABLE_5335) A)) (not (forall ((B $$unsorted)) (or (not (ho_25 (ho_24 k_23 B) A)) (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_24 k_23 Xx))) (or (not (ho_25 _let_0 B)) (not (ho_25 _let_0 A)))) ))) ))) )
0.38/0.78	  ( omega, emptyset )
0.38/0.78	  ( (ho_22 (ho_21 k_20 emptyset) emptyset), emptyset )
0.38/0.78	  ( (ho_53 k_52 BOOLEAN_TERM_VARIABLE_8669), emptyset )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((BOUND_VARIABLE_9541 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_7387 $$unsorted)) (or (ho_25 BOUND_VARIABLE_9541 (ho_49 k_48 (ho_29 k_45 BOUND_VARIABLE_9541))) (not (ho_25 BOUND_VARIABLE_9541 BOUND_VARIABLE_7387)) (not (forall ((BOUND_VARIABLE_7360 $$unsorted)) (or (not (ho_25 BOUND_VARIABLE_9541 BOUND_VARIABLE_7360)) (= BOUND_VARIABLE_7360 BOUND_VARIABLE_7387)) ))) )
0.38/0.78	  ( (ho_24 k_23 emptyset), omega )
0.38/0.78	  ( (ho_24 k_23 emptyset), (ho_22 (ho_21 k_20 emptyset) emptyset) )
0.38/0.78	  ( (ho_24 k_23 emptyset), (ho_53 k_52 BOOLEAN_TERM_VARIABLE_8669) )
0.38/0.78	  ( k_55, (ho_53 k_52 BOOLEAN_TERM_VARIABLE_8669) )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((BOUND_VARIABLE_9612 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_7437 $$unsorted)) (or (not (forall ((Xx $$unsorted)) (or (not (ho_25 BOUND_VARIABLE_9612 Xx)) (not (forall ((Xy $$unsorted)) (or (not (ho_25 BOUND_VARIABLE_9612 Xy)) (= Xx Xy)) ))) )) (not (ho_25 BOUND_VARIABLE_9612 BOUND_VARIABLE_7437)) (not (forall ((BOUND_VARIABLE_7410 $$unsorted)) (or (not (ho_25 BOUND_VARIABLE_9612 BOUND_VARIABLE_7410)) (= BOUND_VARIABLE_7410 BOUND_VARIABLE_7437)) ))) )
0.38/0.78	  ( (ho_24 k_23 emptyset), omega )
0.38/0.78	  ( (ho_24 k_23 emptyset), (ho_22 (ho_21 k_20 emptyset) emptyset) )
0.38/0.78	  ( (ho_24 k_23 emptyset), (ho_53 k_52 BOOLEAN_TERM_VARIABLE_8669) )
0.38/0.78	  ( k_55, (ho_53 k_52 BOOLEAN_TERM_VARIABLE_8669) )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((Xx $$unsorted)) (not (ho_25 (ho_24 k_23 Xx) (ho_53 k_52 false))) )
0.38/0.78	  ( emptyset )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((BOUND_VARIABLE_9659 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_7487 $$unsorted)) (or (not (forall ((Xx $$unsorted)) (not (ho_25 BOUND_VARIABLE_9659 Xx)) )) (not (ho_25 BOUND_VARIABLE_9659 BOUND_VARIABLE_7487)) (not (forall ((BOUND_VARIABLE_7460 $$unsorted)) (or (not (ho_25 BOUND_VARIABLE_9659 BOUND_VARIABLE_7460)) (= BOUND_VARIABLE_7460 BOUND_VARIABLE_7487)) ))) )
0.38/0.78	  ( (ho_24 k_23 emptyset), omega )
0.38/0.78	  ( (ho_24 k_23 emptyset), (ho_22 (ho_21 k_20 emptyset) emptyset) )
0.38/0.78	  ( (ho_24 k_23 emptyset), (ho_53 k_52 BOOLEAN_TERM_VARIABLE_8669) )
0.38/0.78	  ( k_55, (ho_53 k_52 BOOLEAN_TERM_VARIABLE_8669) )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (ho_25 (ho_24 k_23 Xx) (ho_22 (ho_21 k_20 Xx) Xy)) )
0.38/0.78	  ( skv_63, (ho_22 (ho_21 k_20 skv_64) emptyset) )
0.38/0.78	  ( skv_64, emptyset )
0.38/0.78	  ( skv_65, emptyset )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((A $$unsorted) (Xx $$unsorted) (B $$unsorted)) (let ((_let_0 (ho_24 k_23 Xx))) (or (not (ho_25 _let_0 B)) (not (ho_25 (ho_24 k_23 B) A)) (ho_25 _let_0 (ho_22 k_47 A)))) )
0.38/0.78	  ( omega, emptyset, omega )
0.38/0.78	  ( omega, emptyset, (ho_22 (ho_21 k_20 emptyset) emptyset) )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((BOUND_VARIABLE_9860 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_7567 $$unsorted)) (or (not (forall ((Xx $$unsorted)) (not (forall ((Xy $$unsorted)) (= (ho_25 BOUND_VARIABLE_9860 Xy) (= Xx Xy)) )) )) (not (ho_25 BOUND_VARIABLE_9860 BOUND_VARIABLE_7567)) (not (forall ((BOUND_VARIABLE_7540 $$unsorted)) (or (not (ho_25 BOUND_VARIABLE_9860 BOUND_VARIABLE_7540)) (= BOUND_VARIABLE_7540 BOUND_VARIABLE_7567)) ))) )
0.38/0.78	  ( (ho_24 k_23 emptyset), omega )
0.38/0.78	  ( (ho_24 k_23 emptyset), (ho_22 (ho_21 k_20 emptyset) emptyset) )
0.38/0.78	  ( (ho_24 k_23 emptyset), (ho_53 k_52 BOOLEAN_TERM_VARIABLE_8669) )
0.38/0.78	  ( k_55, (ho_53 k_52 BOOLEAN_TERM_VARIABLE_8669) )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (ho_25 (ho_24 k_23 Xx) (ho_22 (ho_21 k_20 Xy) emptyset))) (= Xx Xy)) )
0.38/0.78	  ( skv_63, skv_65 )
0.38/0.78	  ( skv_64, skv_65 )
0.38/0.78	  ( skv_67, emptyset )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (= Xx Xy) (not (ho_25 (ho_24 k_23 Xy) (ho_22 (ho_21 k_20 Xx) emptyset)))) )
0.38/0.78	  ( emptyset, skv_67 )
0.38/0.78	  ( skv_65, skv_63 )
0.38/0.78	  ( skv_65, skv_64 )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((Xy $$unsorted)) (ho_25 (ho_24 k_23 Xy) (ho_22 (ho_21 k_20 Xy) emptyset)) )
0.38/0.78	  ( skv_63 )
0.38/0.78	  ( skv_64 )
0.38/0.78	  ( skv_65 )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted)) (or (not (ho_25 (ho_24 k_23 Xz) (ho_22 (ho_21 k_20 Xx) (ho_22 (ho_21 k_20 Xy) emptyset)))) (= Xx Xz) (= Xy Xz)) )
0.38/0.78	  ( emptyset, emptyset, skv_67 )
0.38/0.78	  ( skv_63, skv_64, skv_65 )
0.38/0.78	  ( skv_65, skv_65, skv_63 )
0.38/0.78	  ( skv_65, skv_65, skv_64 )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (ho_25 (ho_24 k_23 Xx) (ho_22 (ho_21 k_20 Xx) (ho_22 (ho_21 k_20 Xy) emptyset))) )
0.38/0.78	  ( skv_63, skv_64 )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (ho_25 (ho_24 k_23 Xy) (ho_22 (ho_21 k_20 Xx) (ho_22 (ho_21 k_20 Xy) emptyset))) )
0.38/0.78	  ( skv_63, skv_64 )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((BOUND_VARIABLE_10122 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_6012 $$unsorted)) (or (not (ho_25 BOUND_VARIABLE_10122 BOUND_VARIABLE_6012)) (not (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (ho_25 BOUND_VARIABLE_10122 Xx)) (not (ho_25 BOUND_VARIABLE_10122 Xy)) (= Xx Xy)) )) (not (forall ((BOUND_VARIABLE_7627 $$unsorted)) (or (not (ho_25 BOUND_VARIABLE_10122 BOUND_VARIABLE_7627)) (not (forall ((BOUND_VARIABLE_7628 $$unsorted)) (or (not (ho_25 BOUND_VARIABLE_10122 BOUND_VARIABLE_7628)) (= BOUND_VARIABLE_7627 BOUND_VARIABLE_7628)) ))) ))) )
0.38/0.78	  ( (ho_24 k_23 emptyset), omega )
0.38/0.78	  ( (ho_24 k_23 emptyset), (ho_22 (ho_21 k_20 emptyset) emptyset) )
0.38/0.78	  ( (ho_24 k_23 emptyset), (ho_53 k_52 BOOLEAN_TERM_VARIABLE_8669) )
0.38/0.78	  ( k_55, (ho_53 k_52 BOOLEAN_TERM_VARIABLE_8669) )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((BOUND_VARIABLE_10168 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_6125 $$unsorted) (BOUND_VARIABLE_6126 $$unsorted) (BOUND_VARIABLE_7716 $$unsorted)) (or (not (ho_25 BOUND_VARIABLE_10168 BOUND_VARIABLE_6125)) (not (ho_25 BOUND_VARIABLE_10168 BOUND_VARIABLE_6126)) (= BOUND_VARIABLE_6125 BOUND_VARIABLE_6126) (not (ho_25 BOUND_VARIABLE_10168 BOUND_VARIABLE_7716)) (not (forall ((BOUND_VARIABLE_7689 $$unsorted)) (or (not (ho_25 BOUND_VARIABLE_10168 BOUND_VARIABLE_7689)) (= BOUND_VARIABLE_7689 BOUND_VARIABLE_7716)) ))) )
0.38/0.78	  ( (ho_24 k_23 emptyset), omega, (ho_22 (ho_21 k_20 emptyset) emptyset), omega )
0.38/0.78	  ( (ho_24 k_23 emptyset), (ho_22 (ho_21 k_20 emptyset) emptyset), omega, (ho_22 (ho_21 k_20 emptyset) emptyset) )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((BOUND_VARIABLE_10252 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_10242 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_7902 $$unsorted) (BOUND_VARIABLE_7910 $$unsorted)) (or (not (forall ((Xy $$unsorted)) (= (ho_25 BOUND_VARIABLE_10252 Xy) (ho_25 BOUND_VARIABLE_10242 Xy)) )) (= (ho_49 k_48 (ho_29 k_37 BOUND_VARIABLE_10242)) (ho_49 k_48 (ho_29 k_38 BOUND_VARIABLE_10252))) (not (ho_25 BOUND_VARIABLE_10252 BOUND_VARIABLE_7902)) (not (forall ((BOUND_VARIABLE_7849 $$unsorted)) (or (not (ho_25 BOUND_VARIABLE_10252 BOUND_VARIABLE_7849)) (= BOUND_VARIABLE_7849 BOUND_VARIABLE_7902)) )) (not (ho_25 BOUND_VARIABLE_10242 BOUND_VARIABLE_7910)) (not (forall ((BOUND_VARIABLE_7875 $$unsorted)) (or (not (ho_25 BOUND_VARIABLE_10242 BOUND_VARIABLE_7875)) (= BOUND_VARIABLE_7875 BOUND_VARIABLE_7910)) ))) )
0.38/0.78	  ( (ho_24 k_23 emptyset), (ho_24 k_23 emptyset), omega, omega )
0.38/0.78	  ( (ho_24 k_23 emptyset), (ho_24 k_23 emptyset), (ho_22 (ho_21 k_20 emptyset) emptyset), (ho_22 (ho_21 k_20 emptyset) emptyset) )
0.38/0.78	  ( (ho_24 k_23 emptyset), (ho_24 k_23 emptyset), (ho_53 k_52 BOOLEAN_TERM_VARIABLE_8669), (ho_53 k_52 BOOLEAN_TERM_VARIABLE_8669) )
0.38/0.78	  ( k_55, k_55, (ho_53 k_52 BOOLEAN_TERM_VARIABLE_8669), (ho_53 k_52 BOOLEAN_TERM_VARIABLE_8669) )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((Xx $$unsorted) (A $$unsorted)) (ho_25 (ho_24 k_56 A) (ho_22 (ho_21 k_20 Xx) A)) )
0.38/0.78	  ( emptyset, emptyset )
0.38/0.78	  ( skv_63, (ho_22 (ho_21 k_20 skv_64) emptyset) )
0.38/0.78	  ( skv_64, emptyset )
0.38/0.78	  ( skv_65, emptyset )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((A $$unsorted)) (ho_25 (ho_24 k_23 A) (ho_22 k_46 A)) )
0.38/0.78	  ( emptyset )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((A $$unsorted) (Xx $$unsorted)) (or (not (ho_25 (ho_24 k_23 Xx) A)) (ho_25 (ho_24 k_56 (ho_22 (ho_21 k_20 Xx) emptyset)) A)) )
0.38/0.78	  ( omega, emptyset )
0.38/0.78	  ( (ho_22 (ho_21 k_20 emptyset) emptyset), emptyset )
0.38/0.78	  ( (ho_53 k_52 BOOLEAN_TERM_VARIABLE_8669), emptyset )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((A $$unsorted)) (ho_25 (ho_24 k_56 (ho_22 k_47 (ho_22 (ho_21 k_20 A) emptyset))) A) )
0.38/0.78	  ( emptyset )
0.38/0.78	  ( skv_63 )
0.38/0.78	  ( skv_64 )
0.38/0.78	  ( skv_65 )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((A $$unsorted)) (ho_25 (ho_24 k_56 A) (ho_22 k_47 (ho_22 (ho_21 k_20 A) emptyset))) )
0.38/0.78	  ( emptyset )
0.38/0.78	  ( skv_63 )
0.38/0.78	  ( skv_64 )
0.38/0.78	  ( skv_65 )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((Xx $$unsorted)) (= Xx (ho_22 k_47 (ho_22 (ho_21 k_20 Xx) emptyset))) )
0.38/0.78	  ( emptyset )
0.38/0.78	  ( skv_63 )
0.38/0.78	  ( skv_64 )
0.38/0.78	  ( skv_65 )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (= (ho_22 (ho_21 k_20 Xx) emptyset) (ho_22 (ho_21 k_20 Xy) emptyset))) (= Xx Xy)) )
0.38/0.78	  ( emptyset, skv_65 )
0.38/0.78	  ( skv_64, emptyset )
0.38/0.78	  ( skv_65, emptyset )
0.38/0.78	  ( skv_65, skv_64 )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((BOUND_VARIABLE_8271 $$unsorted)) (let ((_let_0 (ho_21 k_20 BOUND_VARIABLE_8271))) (let ((_let_1 (ho_22 _let_0 emptyset))) (or (ho_25 (ho_24 k_23 (ho_22 k_47 _let_1)) _let_1) (not (ho_25 (ho_24 k_23 BOUND_VARIABLE_8271) _let_1))))) )
0.38/0.78	  ( emptyset )
0.38/0.78	  ( skv_63 )
0.38/0.78	  ( skv_64 )
0.38/0.78	  ( skv_65 )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((Xy $$unsorted)) (let ((_let_0 (ho_21 k_20 Xy))) (let ((_let_1 (ho_22 _let_0 emptyset))) (= _let_1 (ho_22 _let_0 _let_1)))) )
0.38/0.78	  ( emptyset )
0.38/0.78	  ( skv_63 )
0.38/0.78	  ( skv_64 )
0.38/0.78	  ( skv_65 )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((Xy $$unsorted)) (or (not (ho_25 (ho_24 k_23 emptyset) Xy)) (= Xy skv_69)) )
0.38/0.78	  ( omega )
0.38/0.78	  ( (ho_22 (ho_21 k_20 emptyset) emptyset) )
0.38/0.78	  ( (ho_53 k_52 BOOLEAN_TERM_VARIABLE_8669) )
0.38/0.78	  ( (ho_49 k_48 (ho_29 k_45 (ho_24 k_23 emptyset))) )
0.38/0.78	  ( (ho_22 k_46 emptyset) )
0.38/0.78	  ( skv_71 )
0.38/0.78	  ( skv_75 )
0.38/0.78	  ( skv_76 )
0.38/0.78	  ( skv_79 )
0.38/0.78	  ( skv_80 )
0.38/0.78	  ( skv_81 )
0.38/0.78	)
0.38/0.78	(instantiation (forall ((Xy $$unsorted)) (or (not (ho_25 k_55 Xy)) (= Xy skv_70)) )
0.38/0.78	  ( (ho_53 k_52 BOOLEAN_TERM_VARIABLE_8669) )
0.38/0.78	  ( (ho_49 k_48 (ho_29 k_45 k_55)) )
0.38/0.78	  ( skv_72 )
0.38/0.78	  ( skv_77 )
0.38/0.78	  ( skv_78 )
0.38/0.78	  ( skv_82 )
0.38/0.78	)
0.38/0.78	% SZS output end Proof for theBenchmark
0.38/0.79	EOF