0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command    : do_CVC4 %s %d
0.12/0.34	% Computer   : n016.cluster.edu
0.12/0.34	% Model      : x86_64 x86_64
0.12/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory     : 8042.1875MB
0.12/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit   : 960
0.12/0.34	% WCLimit    : 120
0.12/0.34	% DateTime   : Thu Jul  2 07:33:35 EDT 2020
0.12/0.34	% CPUTime    : 
0.19/0.48	%----Proving TH0
0.19/0.48	------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960...
0.19/0.48	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
0.54/0.73	% SZS status Theorem for theBenchmark
0.54/0.73	% SZS output start Proof for theBenchmark
0.54/0.73	(skolem (forall ((A $$unsorted) (Xx $$unsorted)) (or (not (ho_15 (ho_31 k_30 Xx) A)) (ho_15 (ho_31 k_45 (ho_34 (ho_33 k_32 Xx) emptyset)) A)) )
0.54/0.73	  ( skv_50 skv_51 )
0.54/0.73	)
0.54/0.73	(skolem (forall ((B $$unsorted)) (or (not (ho_15 (ho_31 k_30 B) omega)) (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_31 k_30 Xx))) (or (not (ho_15 _let_0 B)) (not (ho_15 _let_0 omega)))) ))) )
0.54/0.73	  ( skv_52 )
0.54/0.73	)
0.54/0.73	(skolem (forall ((B $$unsorted)) (or (not (ho_15 (ho_31 k_30 B) (ho_34 (ho_33 k_32 emptyset) emptyset))) (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_31 k_30 Xx))) (or (not (ho_15 _let_0 B)) (not (ho_15 _let_0 (ho_34 (ho_33 k_32 emptyset) emptyset))))) ))) )
0.54/0.73	  ( skv_53 )
0.54/0.73	)
0.54/0.73	(skolem (forall ((B $$unsorted)) (or (not (ho_15 (ho_31 k_30 B) (ho_42 k_41 BOOLEAN_TERM_VARIABLE_6749))) (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_31 k_30 Xx))) (or (not (ho_15 _let_0 B)) (not (ho_15 _let_0 (ho_42 k_41 BOOLEAN_TERM_VARIABLE_6749))))) ))) )
0.54/0.73	  ( skv_54 )
0.54/0.73	)
0.54/0.73	(skolem (forall ((B $$unsorted)) (or (not (ho_15 (ho_31 k_30 B) skv_50)) (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_31 k_30 Xx))) (or (not (ho_15 _let_0 B)) (not (ho_15 _let_0 skv_50)))) ))) )
0.54/0.73	  ( skv_55 )
0.54/0.73	)
0.54/0.73	(skolem (forall ((Xx $$unsorted)) (let ((_let_0 (ho_31 k_30 Xx))) (or (not (ho_15 _let_0 (ho_34 (ho_33 k_32 skv_51) emptyset))) (ho_15 _let_0 skv_50))) )
0.54/0.73	  ( skv_56 )
0.54/0.73	)
0.54/0.73	(skolem (forall ((Xx $$unsorted)) (or (not (ho_15 (ho_31 k_30 emptyset) Xx)) (not (forall ((Xy $$unsorted)) (or (not (ho_15 (ho_31 k_30 emptyset) Xy)) (= Xx Xy)) ))) )
0.54/0.73	  ( skv_57 )
0.54/0.73	)
0.54/0.73	(skolem (forall ((Xx $$unsorted)) (or (not (ho_15 k_44 Xx)) (not (forall ((Xy $$unsorted)) (or (not (ho_15 k_44 Xy)) (= Xx Xy)) ))) )
0.54/0.73	  ( skv_58 )
0.54/0.73	)
0.54/0.73	(skolem (forall ((Xx $$unsorted)) (or (not (ho_15 (ho_31 k_30 skv_51) Xx)) (not (forall ((Xy $$unsorted)) (or (not (ho_15 (ho_31 k_30 skv_51) Xy)) (= Xx Xy)) ))) )
0.54/0.73	  ( skv_59 )
0.54/0.73	)
0.54/0.73	(skolem (forall ((Xx $$unsorted)) (not (ho_15 (ho_31 k_30 emptyset) Xx)) )
0.54/0.73	  ( skv_60 )
0.54/0.73	)
0.54/0.73	(skolem (forall ((Xx $$unsorted)) (not (ho_15 k_44 Xx)) )
0.54/0.73	  ( skv_61 )
0.54/0.73	)
0.54/0.73	(skolem (forall ((Xx $$unsorted)) (not (ho_15 (ho_31 k_30 skv_51) Xx)) )
0.54/0.73	  ( skv_62 )
0.54/0.73	)
0.54/0.73	(skolem (forall ((Xx $$unsorted)) (not (forall ((Xy $$unsorted)) (= (ho_15 (ho_31 k_30 emptyset) Xy) (= Xx Xy)) )) )
0.54/0.73	  ( skv_63 )
0.54/0.73	)
0.54/0.73	(skolem (forall ((Xx $$unsorted)) (not (forall ((Xy $$unsorted)) (= (ho_15 k_44 Xy) (= Xx Xy)) )) )
0.54/0.73	  ( skv_64 )
0.54/0.73	)
0.54/0.73	(skolem (forall ((Xx $$unsorted)) (not (forall ((Xy $$unsorted)) (= (ho_15 (ho_31 k_30 skv_51) Xy) (= Xx Xy)) )) )
0.54/0.73	  ( skv_65 )
0.54/0.73	)
0.54/0.73	(skolem (forall ((Xx $$unsorted) (Xy $$unsorted)) (let ((_let_0 (ho_31 k_30 emptyset))) (or (not (ho_15 _let_0 Xx)) (not (ho_15 _let_0 Xy)) (= Xx Xy))) )
0.54/0.73	  ( skv_66 skv_67 )
0.54/0.73	)
0.54/0.73	(skolem (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (ho_15 k_44 Xx)) (not (ho_15 k_44 Xy)) (= Xx Xy)) )
0.54/0.73	  ( skv_68 skv_69 )
0.54/0.73	)
0.54/0.73	(skolem (forall ((Xx $$unsorted) (Xy $$unsorted)) (let ((_let_0 (ho_31 k_30 skv_51))) (or (not (ho_15 _let_0 Xx)) (not (ho_15 _let_0 Xy)) (= Xx Xy))) )
0.54/0.73	  ( skv_70 skv_71 )
0.54/0.73	)
0.54/0.73	(skolem (forall ((BOUND_VARIABLE_5848 $$unsorted)) (or (not (ho_15 (ho_31 k_30 emptyset) BOUND_VARIABLE_5848)) (= omega BOUND_VARIABLE_5848)) )
0.54/0.73	  ( skv_72 )
0.54/0.73	)
0.54/0.73	(skolem (forall ((BOUND_VARIABLE_5848 $$unsorted)) (or (not (ho_15 (ho_31 k_30 emptyset) BOUND_VARIABLE_5848)) (= BOUND_VARIABLE_5848 (ho_34 (ho_33 k_32 emptyset) emptyset))) )
0.54/0.73	  ( skv_73 )
0.54/0.73	)
0.54/0.73	(skolem (forall ((BOUND_VARIABLE_5848 $$unsorted)) (or (not (ho_15 (ho_31 k_30 emptyset) BOUND_VARIABLE_5848)) (= BOUND_VARIABLE_5848 (ho_42 k_41 BOOLEAN_TERM_VARIABLE_6749))) )
0.54/0.73	  ( skv_74 )
0.54/0.73	)
0.54/0.73	(skolem (forall ((BOUND_VARIABLE_5848 $$unsorted)) (or (not (ho_15 k_44 BOUND_VARIABLE_5848)) (= BOUND_VARIABLE_5848 (ho_42 k_41 BOOLEAN_TERM_VARIABLE_6749))) )
0.54/0.73	  ( skv_75 )
0.54/0.73	)
0.54/0.73	(skolem (forall ((BOUND_VARIABLE_5848 $$unsorted)) (or (not (ho_15 (ho_31 k_30 skv_51) BOUND_VARIABLE_5848)) (= BOUND_VARIABLE_5848 skv_50)) )
0.54/0.73	  ( skv_76 )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((Xx $$unsorted)) (not (ho_15 (ho_31 k_30 Xx) emptyset)) )
0.54/0.73	  ( emptyset )
0.54/0.73	  ( skv_51 )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((Xx $$unsorted)) (or (not (ho_15 (ho_31 k_30 Xx) omega)) (ho_15 (ho_31 k_30 (ho_34 (ho_33 k_32 Xx) Xx)) omega)) )
0.54/0.73	  ( emptyset )
0.54/0.73	  ( skv_51 )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((A $$unsorted) (BOUND_VARIABLE_4268 $$unsorted)) (or (not (ho_15 (ho_31 k_30 BOUND_VARIABLE_4268) A)) (not (forall ((B $$unsorted)) (or (not (ho_15 (ho_31 k_30 B) A)) (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_31 k_30 Xx))) (or (not (ho_15 _let_0 B)) (not (ho_15 _let_0 A)))) ))) ))) )
0.54/0.73	  ( omega, emptyset )
0.54/0.73	  ( (ho_34 (ho_33 k_32 emptyset) emptyset), emptyset )
0.54/0.73	  ( (ho_42 k_41 BOOLEAN_TERM_VARIABLE_6749), emptyset )
0.54/0.73	  ( skv_50, skv_51 )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((BOUND_VARIABLE_7400 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_5875 $$unsorted)) (or (ho_15 BOUND_VARIABLE_7400 (ho_38 k_37 (ho_17 k_29 BOUND_VARIABLE_7400))) (not (ho_15 BOUND_VARIABLE_7400 BOUND_VARIABLE_5875)) (not (forall ((BOUND_VARIABLE_5848 $$unsorted)) (or (not (ho_15 BOUND_VARIABLE_7400 BOUND_VARIABLE_5848)) (= BOUND_VARIABLE_5848 BOUND_VARIABLE_5875)) ))) )
0.54/0.73	  ( (ho_31 k_30 emptyset), omega )
0.54/0.73	  ( (ho_31 k_30 emptyset), (ho_34 (ho_33 k_32 emptyset) emptyset) )
0.54/0.73	  ( (ho_31 k_30 emptyset), (ho_42 k_41 BOOLEAN_TERM_VARIABLE_6749) )
0.54/0.73	  ( k_44, (ho_42 k_41 BOOLEAN_TERM_VARIABLE_6749) )
0.54/0.73	  ( (ho_31 k_30 skv_51), skv_50 )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((BOUND_VARIABLE_7471 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_5925 $$unsorted)) (or (not (forall ((Xx $$unsorted)) (or (not (ho_15 BOUND_VARIABLE_7471 Xx)) (not (forall ((Xy $$unsorted)) (or (not (ho_15 BOUND_VARIABLE_7471 Xy)) (= Xx Xy)) ))) )) (not (ho_15 BOUND_VARIABLE_7471 BOUND_VARIABLE_5925)) (not (forall ((BOUND_VARIABLE_5898 $$unsorted)) (or (not (ho_15 BOUND_VARIABLE_7471 BOUND_VARIABLE_5898)) (= BOUND_VARIABLE_5898 BOUND_VARIABLE_5925)) ))) )
0.54/0.73	  ( (ho_31 k_30 emptyset), omega )
0.54/0.73	  ( (ho_31 k_30 emptyset), (ho_34 (ho_33 k_32 emptyset) emptyset) )
0.54/0.73	  ( (ho_31 k_30 emptyset), (ho_42 k_41 BOOLEAN_TERM_VARIABLE_6749) )
0.54/0.73	  ( k_44, (ho_42 k_41 BOOLEAN_TERM_VARIABLE_6749) )
0.54/0.73	  ( (ho_31 k_30 skv_51), skv_50 )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((Xx $$unsorted)) (not (ho_15 (ho_31 k_30 Xx) (ho_42 k_41 false))) )
0.54/0.73	  ( emptyset )
0.54/0.73	  ( skv_51 )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((BOUND_VARIABLE_7518 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_5975 $$unsorted)) (or (not (forall ((Xx $$unsorted)) (not (ho_15 BOUND_VARIABLE_7518 Xx)) )) (not (ho_15 BOUND_VARIABLE_7518 BOUND_VARIABLE_5975)) (not (forall ((BOUND_VARIABLE_5948 $$unsorted)) (or (not (ho_15 BOUND_VARIABLE_7518 BOUND_VARIABLE_5948)) (= BOUND_VARIABLE_5948 BOUND_VARIABLE_5975)) ))) )
0.54/0.73	  ( (ho_31 k_30 emptyset), omega )
0.54/0.73	  ( (ho_31 k_30 emptyset), (ho_34 (ho_33 k_32 emptyset) emptyset) )
0.54/0.73	  ( (ho_31 k_30 emptyset), (ho_42 k_41 BOOLEAN_TERM_VARIABLE_6749) )
0.54/0.73	  ( k_44, (ho_42 k_41 BOOLEAN_TERM_VARIABLE_6749) )
0.54/0.73	  ( (ho_31 k_30 skv_51), skv_50 )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (ho_15 (ho_31 k_30 Xx) (ho_34 (ho_33 k_32 Xx) Xy)) )
0.54/0.73	  ( skv_51, emptyset )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((BOUND_VARIABLE_7719 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_6055 $$unsorted)) (or (not (forall ((Xx $$unsorted)) (not (forall ((Xy $$unsorted)) (= (ho_15 BOUND_VARIABLE_7719 Xy) (= Xx Xy)) )) )) (not (ho_15 BOUND_VARIABLE_7719 BOUND_VARIABLE_6055)) (not (forall ((BOUND_VARIABLE_6028 $$unsorted)) (or (not (ho_15 BOUND_VARIABLE_7719 BOUND_VARIABLE_6028)) (= BOUND_VARIABLE_6028 BOUND_VARIABLE_6055)) ))) )
0.54/0.73	  ( (ho_31 k_30 emptyset), omega )
0.54/0.73	  ( (ho_31 k_30 emptyset), (ho_34 (ho_33 k_32 emptyset) emptyset) )
0.54/0.73	  ( (ho_31 k_30 emptyset), (ho_42 k_41 BOOLEAN_TERM_VARIABLE_6749) )
0.54/0.73	  ( k_44, (ho_42 k_41 BOOLEAN_TERM_VARIABLE_6749) )
0.54/0.73	  ( (ho_31 k_30 skv_51), skv_50 )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (ho_15 (ho_31 k_30 Xx) (ho_34 (ho_33 k_32 Xy) emptyset))) (= Xx Xy)) )
0.54/0.73	  ( (ho_34 (ho_33 k_32 emptyset) emptyset), emptyset )
0.54/0.73	  ( skv_52, emptyset )
0.54/0.73	  ( skv_53, emptyset )
0.54/0.73	  ( skv_56, skv_51 )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (= Xx Xy) (not (ho_15 (ho_31 k_30 Xy) (ho_34 (ho_33 k_32 Xx) emptyset)))) )
0.54/0.73	  ( emptyset, (ho_34 (ho_33 k_32 emptyset) emptyset) )
0.54/0.73	  ( emptyset, skv_52 )
0.54/0.73	  ( emptyset, skv_53 )
0.54/0.73	  ( skv_51, skv_56 )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((Xy $$unsorted)) (ho_15 (ho_31 k_30 Xy) (ho_34 (ho_33 k_32 Xy) emptyset)) )
0.54/0.73	  ( skv_51 )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((BOUND_VARIABLE_7827 |u_(-> $$unsorted Bool)|) (Xx $$unsorted)) (or (not (ho_15 (ho_31 k_30 Xx) emptyset)) (ho_15 BOUND_VARIABLE_7827 Xx)) )
0.54/0.73	  ( (ho_31 k_45 (ho_34 (ho_33 k_32 skv_51) emptyset)), skv_50 )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((BOUND_VARIABLE_7981 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_4945 $$unsorted)) (or (not (ho_15 BOUND_VARIABLE_7981 BOUND_VARIABLE_4945)) (not (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (ho_15 BOUND_VARIABLE_7981 Xx)) (not (ho_15 BOUND_VARIABLE_7981 Xy)) (= Xx Xy)) )) (not (forall ((BOUND_VARIABLE_6115 $$unsorted)) (or (not (ho_15 BOUND_VARIABLE_7981 BOUND_VARIABLE_6115)) (not (forall ((BOUND_VARIABLE_6116 $$unsorted)) (or (not (ho_15 BOUND_VARIABLE_7981 BOUND_VARIABLE_6116)) (= BOUND_VARIABLE_6115 BOUND_VARIABLE_6116)) ))) ))) )
0.54/0.73	  ( (ho_31 k_30 emptyset), omega )
0.54/0.73	  ( (ho_31 k_30 emptyset), (ho_34 (ho_33 k_32 emptyset) emptyset) )
0.54/0.73	  ( (ho_31 k_30 emptyset), (ho_42 k_41 BOOLEAN_TERM_VARIABLE_6749) )
0.54/0.73	  ( k_44, (ho_42 k_41 BOOLEAN_TERM_VARIABLE_6749) )
0.54/0.73	  ( (ho_31 k_30 skv_51), skv_50 )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((BOUND_VARIABLE_8027 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_5058 $$unsorted) (BOUND_VARIABLE_5059 $$unsorted) (BOUND_VARIABLE_6204 $$unsorted)) (or (not (ho_15 BOUND_VARIABLE_8027 BOUND_VARIABLE_5058)) (not (ho_15 BOUND_VARIABLE_8027 BOUND_VARIABLE_5059)) (= BOUND_VARIABLE_5058 BOUND_VARIABLE_5059) (not (ho_15 BOUND_VARIABLE_8027 BOUND_VARIABLE_6204)) (not (forall ((BOUND_VARIABLE_6177 $$unsorted)) (or (not (ho_15 BOUND_VARIABLE_8027 BOUND_VARIABLE_6177)) (= BOUND_VARIABLE_6177 BOUND_VARIABLE_6204)) ))) )
0.54/0.73	  ( (ho_31 k_30 emptyset), omega, (ho_34 (ho_33 k_32 emptyset) emptyset), omega )
0.54/0.73	  ( (ho_31 k_30 emptyset), (ho_34 (ho_33 k_32 emptyset) emptyset), omega, (ho_34 (ho_33 k_32 emptyset) emptyset) )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((BOUND_VARIABLE_8111 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_8101 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_6390 $$unsorted) (BOUND_VARIABLE_6398 $$unsorted)) (or (not (forall ((Xy $$unsorted)) (= (ho_15 BOUND_VARIABLE_8111 Xy) (ho_15 BOUND_VARIABLE_8101 Xy)) )) (= (ho_38 k_37 (ho_17 k_21 BOUND_VARIABLE_8101)) (ho_38 k_37 (ho_17 k_22 BOUND_VARIABLE_8111))) (not (ho_15 BOUND_VARIABLE_8111 BOUND_VARIABLE_6390)) (not (forall ((BOUND_VARIABLE_6337 $$unsorted)) (or (not (ho_15 BOUND_VARIABLE_8111 BOUND_VARIABLE_6337)) (= BOUND_VARIABLE_6337 BOUND_VARIABLE_6390)) )) (not (ho_15 BOUND_VARIABLE_8101 BOUND_VARIABLE_6398)) (not (forall ((BOUND_VARIABLE_6363 $$unsorted)) (or (not (ho_15 BOUND_VARIABLE_8101 BOUND_VARIABLE_6363)) (= BOUND_VARIABLE_6363 BOUND_VARIABLE_6398)) ))) )
0.54/0.73	  ( (ho_31 k_30 emptyset), (ho_31 k_30 emptyset), omega, omega )
0.54/0.73	  ( (ho_31 k_30 emptyset), (ho_31 k_30 emptyset), (ho_34 (ho_33 k_32 emptyset) emptyset), (ho_34 (ho_33 k_32 emptyset) emptyset) )
0.54/0.73	  ( (ho_31 k_30 emptyset), (ho_31 k_30 emptyset), (ho_42 k_41 BOOLEAN_TERM_VARIABLE_6749), (ho_42 k_41 BOOLEAN_TERM_VARIABLE_6749) )
0.54/0.73	  ( k_44, k_44, (ho_42 k_41 BOOLEAN_TERM_VARIABLE_6749), (ho_42 k_41 BOOLEAN_TERM_VARIABLE_6749) )
0.54/0.73	  ( (ho_31 k_30 skv_51), (ho_31 k_30 skv_51), skv_50, skv_50 )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_31 k_30 Xx))) (or (not (ho_15 _let_0 A)) (ho_15 _let_0 B))) )) (ho_15 (ho_31 k_45 A) B)) )
0.54/0.73	  ( (ho_34 (ho_33 k_32 skv_51) emptyset), skv_50 )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((B $$unsorted)) (ho_15 (ho_31 k_45 B) B) )
0.54/0.73	  ( (ho_34 (ho_33 k_32 skv_51) emptyset) )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((Xx $$unsorted) (A $$unsorted)) (ho_15 (ho_31 k_45 A) (ho_34 (ho_33 k_32 Xx) A)) )
0.54/0.73	  ( emptyset, emptyset )
0.54/0.73	  ( skv_51, emptyset )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((A $$unsorted)) (or (not (ho_15 (ho_31 k_45 A) emptyset)) (= emptyset A)) )
0.54/0.73	  ( (ho_34 (ho_33 k_32 skv_51) emptyset) )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (ho_15 (ho_31 k_30 B) (ho_34 k_35 A))) (ho_15 (ho_31 k_45 B) A)) )
0.54/0.73	  ( skv_50, (ho_34 (ho_33 k_32 skv_51) emptyset) )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((A $$unsorted)) (ho_15 (ho_31 k_30 A) (ho_34 k_35 A)) )
0.54/0.73	  ( emptyset )
0.54/0.73	  ( skv_51 )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (= B (ho_34 (ho_33 k_47 A) B))) (ho_15 (ho_31 k_45 B) A)) )
0.54/0.73	  ( skv_50, (ho_34 (ho_33 k_32 skv_51) emptyset) )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (= A (ho_34 (ho_33 k_47 A) B))) (ho_15 (ho_31 k_45 A) B)) )
0.54/0.73	  ( (ho_34 (ho_33 k_32 skv_51) emptyset), skv_50 )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (= emptyset (ho_34 (ho_33 k_48 A) B))) (ho_15 (ho_31 k_45 A) B)) )
0.54/0.73	  ( (ho_34 (ho_33 k_32 skv_51) emptyset), skv_50 )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((Xy $$unsorted)) (or (not (ho_15 (ho_31 k_30 emptyset) Xy)) (= Xy skv_57)) )
0.54/0.73	  ( omega )
0.54/0.73	  ( (ho_42 k_41 BOOLEAN_TERM_VARIABLE_6749) )
0.54/0.73	  ( (ho_38 k_37 (ho_17 k_29 (ho_31 k_30 emptyset))) )
0.54/0.73	  ( (ho_34 k_35 emptyset) )
0.54/0.73	  ( skv_60 )
0.54/0.73	  ( skv_66 )
0.54/0.73	  ( skv_67 )
0.54/0.73	  ( skv_72 )
0.54/0.73	  ( skv_73 )
0.54/0.73	  ( skv_74 )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((Xy $$unsorted)) (or (not (ho_15 k_44 Xy)) (= Xy skv_58)) )
0.54/0.73	  ( (ho_42 k_41 BOOLEAN_TERM_VARIABLE_6749) )
0.54/0.73	  ( (ho_38 k_37 (ho_17 k_29 k_44)) )
0.54/0.73	  ( skv_61 )
0.54/0.73	  ( skv_68 )
0.54/0.73	  ( skv_69 )
0.54/0.73	  ( skv_75 )
0.54/0.73	)
0.54/0.73	(instantiation (forall ((Xy $$unsorted)) (or (not (ho_15 (ho_31 k_30 skv_51) Xy)) (= Xy skv_59)) )
0.54/0.73	  ( skv_50 )
0.54/0.73	  ( (ho_34 (ho_33 k_32 skv_51) emptyset) )
0.54/0.73	  ( (ho_38 k_37 (ho_17 k_29 (ho_31 k_30 skv_51))) )
0.54/0.73	  ( (ho_34 k_35 skv_51) )
0.54/0.73	  ( skv_62 )
0.54/0.73	  ( skv_70 )
0.54/0.73	  ( skv_71 )
0.54/0.73	  ( skv_76 )
0.54/0.73	)
0.54/0.73	% SZS output end Proof for theBenchmark
0.54/0.73	EOF