0.08/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.08/0.10	% Command    : do_CVC4 %s %d
0.10/0.30	% Computer   : n020.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 08:43:32 EDT 2020
0.10/0.30	% CPUTime    : 
0.14/0.44	%----Proving TH0
0.14/0.44	------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960...
0.14/0.44	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
0.64/0.89	% SZS status Theorem for theBenchmark
0.64/0.89	% SZS output start Proof for theBenchmark
0.64/0.89	(skolem (forall ((A $$unsorted) (R $$unsorted) (BOUND_VARIABLE_16603 $$unsorted)) (let ((_let_0 (ho_52 k_129 A))) (let ((_let_1 (ho_53 _let_0 A))) (or (not (ho_48 (ho_47 k_123 R) _let_1)) (not (ho_48 (ho_47 k_123 BOUND_VARIABLE_16603) _let_1)) (not (forall ((Xx $$unsorted) (BOUND_VARIABLE_16551 $$unsorted)) (let ((_let_0 (ho_52 k_51 Xx))) (let ((_let_1 (ho_53 _let_0 BOUND_VARIABLE_16551))) (let ((_let_2 (ho_47 k_54 _let_1))) (or (not (ho_48 (ho_47 k_54 Xx) A)) (not (ho_48 (ho_47 k_54 BOUND_VARIABLE_16551) A)) (not (ho_48 _let_2 R)) (ho_48 _let_2 BOUND_VARIABLE_16603))))) )) (not (forall ((Xx $$unsorted) (BOUND_VARIABLE_16574 $$unsorted)) (let ((_let_0 (ho_52 k_51 Xx))) (let ((_let_1 (ho_53 _let_0 BOUND_VARIABLE_16574))) (let ((_let_2 (ho_47 k_54 _let_1))) (or (not (ho_48 (ho_47 k_54 Xx) A)) (not (ho_48 (ho_47 k_54 BOUND_VARIABLE_16574) A)) (not (ho_48 _let_2 BOUND_VARIABLE_16603)) (ho_48 _let_2 R))))) )) (= R BOUND_VARIABLE_16603)))) )
0.64/0.89	  ( skv_150 skv_151 skv_152 )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((Xx $$unsorted)) (not (ho_48 (ho_47 k_54 Xx) emptyset)) )
0.64/0.89	  ( emptyset )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((Xx $$unsorted)) (or (not (ho_48 (ho_47 k_54 Xx) omega)) (ho_48 (ho_47 k_54 (ho_53 (ho_52 k_94 Xx) Xx)) omega)) )
0.64/0.89	  ( emptyset )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((A $$unsorted) (BOUND_VARIABLE_10908 $$unsorted)) (or (not (ho_48 (ho_47 k_54 BOUND_VARIABLE_10908) A)) (not (forall ((B $$unsorted)) (or (not (ho_48 (ho_47 k_54 B) A)) (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_47 k_54 Xx))) (or (not (ho_48 _let_0 B)) (not (ho_48 _let_0 A)))) ))) ))) )
0.64/0.89	  ( omega, emptyset )
0.64/0.89	  ( (ho_53 (ho_52 k_94 emptyset) emptyset), emptyset )
0.64/0.89	  ( (ho_120 k_119 BOOLEAN_TERM_VARIABLE_18224), emptyset )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((BOUND_VARIABLE_20037 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_16990 $$unsorted)) (or (ho_48 BOUND_VARIABLE_20037 (ho_116 k_115 (ho_78 k_112 BOUND_VARIABLE_20037))) (not (ho_48 BOUND_VARIABLE_20037 BOUND_VARIABLE_16990)) (not (forall ((BOUND_VARIABLE_16963 $$unsorted)) (or (not (ho_48 BOUND_VARIABLE_20037 BOUND_VARIABLE_16963)) (= BOUND_VARIABLE_16963 BOUND_VARIABLE_16990)) ))) )
0.64/0.89	  ( (ho_47 k_54 emptyset), omega )
0.64/0.89	  ( (ho_47 k_54 emptyset), (ho_53 (ho_52 k_94 emptyset) emptyset) )
0.64/0.89	  ( (ho_47 k_54 emptyset), (ho_120 k_119 BOOLEAN_TERM_VARIABLE_18224) )
0.64/0.89	  ( k_122, (ho_120 k_119 BOOLEAN_TERM_VARIABLE_18224) )
0.64/0.89	  ( (ho_47 k_123 skv_151), (ho_53 (ho_52 k_129 skv_150) skv_150) )
0.64/0.89	  ( (ho_47 k_123 skv_152), (ho_53 (ho_52 k_129 skv_150) skv_150) )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((BOUND_VARIABLE_20108 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_17040 $$unsorted)) (or (not (forall ((Xx $$unsorted)) (or (not (ho_48 BOUND_VARIABLE_20108 Xx)) (not (forall ((Xy $$unsorted)) (or (not (ho_48 BOUND_VARIABLE_20108 Xy)) (= Xx Xy)) ))) )) (not (ho_48 BOUND_VARIABLE_20108 BOUND_VARIABLE_17040)) (not (forall ((BOUND_VARIABLE_17013 $$unsorted)) (or (not (ho_48 BOUND_VARIABLE_20108 BOUND_VARIABLE_17013)) (= BOUND_VARIABLE_17013 BOUND_VARIABLE_17040)) ))) )
0.64/0.89	  ( (ho_47 k_54 emptyset), omega )
0.64/0.89	  ( (ho_47 k_54 emptyset), (ho_53 (ho_52 k_94 emptyset) emptyset) )
0.64/0.89	  ( (ho_47 k_54 emptyset), (ho_120 k_119 BOOLEAN_TERM_VARIABLE_18224) )
0.64/0.89	  ( k_122, (ho_120 k_119 BOOLEAN_TERM_VARIABLE_18224) )
0.64/0.89	  ( (ho_47 k_123 skv_151), (ho_53 (ho_52 k_129 skv_150) skv_150) )
0.64/0.89	  ( (ho_47 k_123 skv_152), (ho_53 (ho_52 k_129 skv_150) skv_150) )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((Xx $$unsorted)) (not (ho_48 (ho_47 k_54 Xx) (ho_120 k_119 false))) )
0.64/0.89	  ( emptyset )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((BOUND_VARIABLE_20155 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_17090 $$unsorted)) (or (not (forall ((Xx $$unsorted)) (not (ho_48 BOUND_VARIABLE_20155 Xx)) )) (not (ho_48 BOUND_VARIABLE_20155 BOUND_VARIABLE_17090)) (not (forall ((BOUND_VARIABLE_17063 $$unsorted)) (or (not (ho_48 BOUND_VARIABLE_20155 BOUND_VARIABLE_17063)) (= BOUND_VARIABLE_17063 BOUND_VARIABLE_17090)) ))) )
0.64/0.89	  ( (ho_47 k_54 emptyset), omega )
0.64/0.89	  ( (ho_47 k_54 emptyset), (ho_53 (ho_52 k_94 emptyset) emptyset) )
0.64/0.89	  ( (ho_47 k_54 emptyset), (ho_120 k_119 BOOLEAN_TERM_VARIABLE_18224) )
0.64/0.89	  ( k_122, (ho_120 k_119 BOOLEAN_TERM_VARIABLE_18224) )
0.64/0.89	  ( (ho_47 k_123 skv_151), (ho_53 (ho_52 k_129 skv_150) skv_150) )
0.64/0.89	  ( (ho_47 k_123 skv_152), (ho_53 (ho_52 k_129 skv_150) skv_150) )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((BOUND_VARIABLE_20356 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_17170 $$unsorted)) (or (not (forall ((Xx $$unsorted)) (not (forall ((Xy $$unsorted)) (= (ho_48 BOUND_VARIABLE_20356 Xy) (= Xx Xy)) )) )) (not (ho_48 BOUND_VARIABLE_20356 BOUND_VARIABLE_17170)) (not (forall ((BOUND_VARIABLE_17143 $$unsorted)) (or (not (ho_48 BOUND_VARIABLE_20356 BOUND_VARIABLE_17143)) (= BOUND_VARIABLE_17143 BOUND_VARIABLE_17170)) ))) )
0.64/0.89	  ( (ho_47 k_54 emptyset), omega )
0.64/0.89	  ( (ho_47 k_54 emptyset), (ho_53 (ho_52 k_94 emptyset) emptyset) )
0.64/0.89	  ( (ho_47 k_54 emptyset), (ho_120 k_119 BOOLEAN_TERM_VARIABLE_18224) )
0.64/0.89	  ( k_122, (ho_120 k_119 BOOLEAN_TERM_VARIABLE_18224) )
0.64/0.89	  ( (ho_47 k_123 skv_151), (ho_53 (ho_52 k_129 skv_150) skv_150) )
0.64/0.89	  ( (ho_47 k_123 skv_152), (ho_53 (ho_52 k_129 skv_150) skv_150) )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((BOUND_VARIABLE_20618 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_11585 $$unsorted)) (or (not (ho_48 BOUND_VARIABLE_20618 BOUND_VARIABLE_11585)) (not (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (ho_48 BOUND_VARIABLE_20618 Xx)) (not (ho_48 BOUND_VARIABLE_20618 Xy)) (= Xx Xy)) )) (not (forall ((BOUND_VARIABLE_17230 $$unsorted)) (or (not (ho_48 BOUND_VARIABLE_20618 BOUND_VARIABLE_17230)) (not (forall ((BOUND_VARIABLE_17231 $$unsorted)) (or (not (ho_48 BOUND_VARIABLE_20618 BOUND_VARIABLE_17231)) (= BOUND_VARIABLE_17230 BOUND_VARIABLE_17231)) ))) ))) )
0.64/0.89	  ( (ho_47 k_54 emptyset), omega )
0.64/0.89	  ( (ho_47 k_54 emptyset), (ho_53 (ho_52 k_94 emptyset) emptyset) )
0.64/0.89	  ( (ho_47 k_54 emptyset), (ho_120 k_119 BOOLEAN_TERM_VARIABLE_18224) )
0.64/0.89	  ( k_122, (ho_120 k_119 BOOLEAN_TERM_VARIABLE_18224) )
0.64/0.89	  ( (ho_47 k_123 skv_151), (ho_53 (ho_52 k_129 skv_150) skv_150) )
0.64/0.89	  ( (ho_47 k_123 skv_152), (ho_53 (ho_52 k_129 skv_150) skv_150) )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((BOUND_VARIABLE_20664 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_11698 $$unsorted) (BOUND_VARIABLE_11699 $$unsorted) (BOUND_VARIABLE_17319 $$unsorted)) (or (not (ho_48 BOUND_VARIABLE_20664 BOUND_VARIABLE_11698)) (not (ho_48 BOUND_VARIABLE_20664 BOUND_VARIABLE_11699)) (= BOUND_VARIABLE_11698 BOUND_VARIABLE_11699) (not (ho_48 BOUND_VARIABLE_20664 BOUND_VARIABLE_17319)) (not (forall ((BOUND_VARIABLE_17292 $$unsorted)) (or (not (ho_48 BOUND_VARIABLE_20664 BOUND_VARIABLE_17292)) (= BOUND_VARIABLE_17292 BOUND_VARIABLE_17319)) ))) )
0.64/0.89	  ( (ho_47 k_54 emptyset), omega, (ho_53 (ho_52 k_94 emptyset) emptyset), omega )
0.64/0.89	  ( (ho_47 k_54 emptyset), (ho_53 (ho_52 k_94 emptyset) emptyset), omega, (ho_53 (ho_52 k_94 emptyset) emptyset) )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((BOUND_VARIABLE_20748 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_20738 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_17505 $$unsorted) (BOUND_VARIABLE_17513 $$unsorted)) (or (not (forall ((Xy $$unsorted)) (= (ho_48 BOUND_VARIABLE_20748 Xy) (ho_48 BOUND_VARIABLE_20738 Xy)) )) (= (ho_116 k_115 (ho_78 k_104 BOUND_VARIABLE_20738)) (ho_116 k_115 (ho_78 k_105 BOUND_VARIABLE_20748))) (not (ho_48 BOUND_VARIABLE_20748 BOUND_VARIABLE_17505)) (not (forall ((BOUND_VARIABLE_17452 $$unsorted)) (or (not (ho_48 BOUND_VARIABLE_20748 BOUND_VARIABLE_17452)) (= BOUND_VARIABLE_17452 BOUND_VARIABLE_17505)) )) (not (ho_48 BOUND_VARIABLE_20738 BOUND_VARIABLE_17513)) (not (forall ((BOUND_VARIABLE_17478 $$unsorted)) (or (not (ho_48 BOUND_VARIABLE_20738 BOUND_VARIABLE_17478)) (= BOUND_VARIABLE_17478 BOUND_VARIABLE_17513)) ))) )
0.64/0.89	  ( (ho_47 k_54 emptyset), (ho_47 k_54 emptyset), omega, omega )
0.64/0.89	  ( (ho_47 k_54 emptyset), (ho_47 k_54 emptyset), (ho_53 (ho_52 k_94 emptyset) emptyset), (ho_53 (ho_52 k_94 emptyset) emptyset) )
0.64/0.89	  ( (ho_47 k_54 emptyset), (ho_47 k_54 emptyset), (ho_120 k_119 BOOLEAN_TERM_VARIABLE_18224), (ho_120 k_119 BOOLEAN_TERM_VARIABLE_18224) )
0.64/0.89	  ( k_122, k_122, (ho_120 k_119 BOOLEAN_TERM_VARIABLE_18224), (ho_120 k_119 BOOLEAN_TERM_VARIABLE_18224) )
0.64/0.89	  ( (ho_47 k_123 skv_151), (ho_47 k_123 skv_151), (ho_53 (ho_52 k_129 skv_150) skv_150), (ho_53 (ho_52 k_129 skv_150) skv_150) )
0.64/0.89	  ( (ho_47 k_123 skv_152), (ho_47 k_123 skv_152), (ho_53 (ho_52 k_129 skv_150) skv_150), (ho_53 (ho_52 k_129 skv_150) skv_150) )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((B $$unsorted)) (ho_48 (ho_47 k_123 B) B) )
0.64/0.89	  ( skv_151 )
0.64/0.89	  ( skv_152 )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((A $$unsorted) (B $$unsorted) (Xx $$unsorted)) (let ((_let_0 (ho_47 k_54 Xx))) (or (not (ho_48 (ho_47 k_123 A) B)) (not (ho_48 _let_0 A)) (ho_48 _let_0 B))) )
0.64/0.89	  ( skv_151, (ho_53 (ho_52 k_129 skv_150) skv_150), emptyset )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((Xx $$unsorted) (A $$unsorted)) (ho_48 (ho_47 k_123 A) (ho_53 (ho_52 k_94 Xx) A)) )
0.64/0.89	  ( emptyset, emptyset )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (ho_48 (ho_47 k_123 A) B)) (ho_48 (ho_47 k_54 A) (ho_53 k_113 B))) )
0.64/0.89	  ( skv_151, (ho_53 (ho_52 k_129 skv_150) skv_150) )
0.64/0.89	  ( skv_152, (ho_53 (ho_52 k_129 skv_150) skv_150) )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (ho_48 (ho_47 k_123 A) B)) (not (ho_48 (ho_47 k_123 B) A)) (= A B)) )
0.64/0.89	  ( skv_151, (ho_53 (ho_52 k_129 skv_150) skv_150) )
0.64/0.89	  ( skv_152, (ho_53 (ho_52 k_129 skv_150) skv_150) )
0.64/0.89	  ( (ho_53 (ho_52 k_129 skv_150) skv_150), skv_151 )
0.64/0.89	  ( (ho_53 (ho_52 k_129 skv_150) skv_150), skv_152 )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((A $$unsorted)) (or (not (ho_48 (ho_47 k_123 A) emptyset)) (= emptyset A)) )
0.64/0.89	  ( skv_151 )
0.64/0.89	  ( skv_152 )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((A $$unsorted)) (ho_48 (ho_47 k_54 A) (ho_53 k_113 A)) )
0.64/0.89	  ( emptyset )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (ho_48 (ho_47 k_123 A) B)) (= A (ho_53 (ho_52 k_125 A) B))) )
0.64/0.89	  ( skv_151, (ho_53 (ho_52 k_129 skv_150) skv_150) )
0.64/0.89	  ( skv_152, (ho_53 (ho_52 k_129 skv_150) skv_150) )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (ho_48 (ho_47 k_123 B) A)) (= B (ho_53 (ho_52 k_125 A) B))) )
0.64/0.89	  ( (ho_53 (ho_52 k_129 skv_150) skv_150), skv_151 )
0.64/0.89	  ( (ho_53 (ho_52 k_129 skv_150) skv_150), skv_152 )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (ho_48 (ho_47 k_123 A) B)) (= emptyset (ho_53 (ho_52 k_126 A) B))) )
0.64/0.89	  ( skv_151, (ho_53 (ho_52 k_129 skv_150) skv_150) )
0.64/0.89	  ( skv_152, (ho_53 (ho_52 k_129 skv_150) skv_150) )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((A $$unsorted) (Xx $$unsorted)) (or (not (ho_48 (ho_47 k_54 Xx) A)) (ho_48 (ho_47 k_123 (ho_53 (ho_52 k_94 Xx) emptyset)) A)) )
0.64/0.89	  ( omega, emptyset )
0.64/0.89	  ( (ho_53 (ho_52 k_94 emptyset) emptyset), emptyset )
0.64/0.89	  ( (ho_120 k_119 BOOLEAN_TERM_VARIABLE_18224), emptyset )
0.64/0.89	)
0.64/0.89	(instantiation (forall ((A $$unsorted)) (ho_48 (ho_47 k_123 (ho_53 k_114 (ho_53 (ho_52 k_94 A) emptyset))) A) )
0.64/0.89	  ( emptyset )
0.64/0.90	)
0.64/0.90	(instantiation (forall ((A $$unsorted)) (ho_48 (ho_47 k_123 A) (ho_53 k_114 (ho_53 (ho_52 k_94 A) emptyset))) )
0.64/0.90	  ( emptyset )
0.64/0.90	  ( skv_151 )
0.64/0.90	  ( skv_152 )
0.64/0.90	)
0.64/0.90	(instantiation (forall ((Xx $$unsorted)) (= Xx (ho_53 k_114 (ho_53 (ho_52 k_94 Xx) emptyset))) )
0.64/0.90	  ( emptyset )
0.64/0.90	)
0.64/0.90	(instantiation (forall ((Xy $$unsorted)) (let ((_let_0 (ho_52 k_94 Xy))) (let ((_let_1 (ho_53 _let_0 emptyset))) (= _let_1 (ho_53 _let_0 _let_1)))) )
0.64/0.90	  ( emptyset )
0.64/0.90	)
0.64/0.90	(instantiation (forall ((A $$unsorted) (B $$unsorted) (Xx $$unsorted) (BOUND_VARIABLE_12718 $$unsorted)) (or (not (ho_48 (ho_47 k_54 Xx) A)) (not (ho_48 (ho_47 k_54 BOUND_VARIABLE_12718) B)) (= Xx (ho_53 k_92 (ho_53 (ho_52 k_51 Xx) BOUND_VARIABLE_12718)))) )
0.64/0.90	  ( omega, omega, emptyset, emptyset )
0.64/0.90	  ( (ho_53 (ho_52 k_94 emptyset) emptyset), (ho_53 (ho_52 k_94 emptyset) emptyset), emptyset, emptyset )
0.64/0.90	  ( (ho_120 k_119 BOOLEAN_TERM_VARIABLE_18224), (ho_120 k_119 BOOLEAN_TERM_VARIABLE_18224), emptyset, emptyset )
0.64/0.90	)
0.64/0.90	(instantiation (forall ((A $$unsorted) (B $$unsorted) (Xx $$unsorted) (BOUND_VARIABLE_12742 $$unsorted)) (or (not (ho_48 (ho_47 k_54 Xx) A)) (not (ho_48 (ho_47 k_54 BOUND_VARIABLE_12742) B)) (= BOUND_VARIABLE_12742 (ho_53 k_134 (ho_53 (ho_52 k_51 Xx) BOUND_VARIABLE_12742)))) )
0.64/0.90	  ( omega, omega, emptyset, emptyset )
0.64/0.90	  ( (ho_53 (ho_52 k_94 emptyset) emptyset), (ho_53 (ho_52 k_94 emptyset) emptyset), emptyset, emptyset )
0.64/0.90	  ( (ho_120 k_119 BOOLEAN_TERM_VARIABLE_18224), (ho_120 k_119 BOOLEAN_TERM_VARIABLE_18224), emptyset, emptyset )
0.64/0.90	)
0.64/0.90	(instantiation (forall ((A $$unsorted) (B $$unsorted) (Xf $$unsorted) (BOUND_VARIABLE_13349 $$unsorted) (BOUND_VARIABLE_13350 $$unsorted)) (or (not (ho_48 (ho_47 k_54 Xf) (ho_53 (ho_52 k_140 A) B))) (not (ho_48 (ho_47 k_54 BOUND_VARIABLE_13349) A)) (not (ho_48 (ho_47 k_54 BOUND_VARIABLE_13350) B)) (not (ho_48 (ho_47 k_54 (ho_53 (ho_52 k_51 BOUND_VARIABLE_13349) BOUND_VARIABLE_13350)) Xf)) (= BOUND_VARIABLE_13350 (ho_53 (ho_52 (ho_69 (ho_68 k_70 A) B) Xf) BOUND_VARIABLE_13349))) )
0.64/0.90	  ( omega, omega, emptyset, emptyset, emptyset )
0.64/0.90	)
0.64/0.90	(instantiation (forall ((A $$unsorted) (B $$unsorted) (R $$unsorted) (BOUND_VARIABLE_13405 $$unsorted)) (let ((_let_0 (ho_47 k_123 R))) (let ((_let_1 (ho_52 k_129 A))) (let ((_let_2 (ho_53 _let_1 B))) (or (not (ho_48 _let_0 _let_2)) (not (ho_48 (ho_47 k_123 BOUND_VARIABLE_13405) _let_2)) (not (forall ((Xx $$unsorted) (BOUND_VARIABLE_13379 $$unsorted)) (let ((_let_0 (ho_52 k_51 Xx))) (let ((_let_1 (ho_53 _let_0 BOUND_VARIABLE_13379))) (let ((_let_2 (ho_47 k_54 _let_1))) (or (not (ho_48 (ho_47 k_54 Xx) A)) (not (ho_48 (ho_47 k_54 BOUND_VARIABLE_13379) B)) (not (ho_48 _let_2 R)) (ho_48 _let_2 BOUND_VARIABLE_13405))))) )) (ho_48 _let_0 BOUND_VARIABLE_13405))))) )
0.64/0.90	  ( skv_150, skv_150, skv_151, skv_151 )
0.64/0.90	)
0.64/0.90	(instantiation (forall ((A $$unsorted) (B $$unsorted) (R $$unsorted) (BOUND_VARIABLE_13482 $$unsorted)) (let ((_let_0 (ho_52 k_129 A))) (let ((_let_1 (ho_53 _let_0 B))) (or (not (ho_48 (ho_47 k_123 R) _let_1)) (not (ho_48 (ho_47 k_123 BOUND_VARIABLE_13482) _let_1)) (not (forall ((Xx $$unsorted) (BOUND_VARIABLE_13430 $$unsorted)) (let ((_let_0 (ho_52 k_51 Xx))) (let ((_let_1 (ho_53 _let_0 BOUND_VARIABLE_13430))) (let ((_let_2 (ho_47 k_54 _let_1))) (or (not (ho_48 (ho_47 k_54 Xx) A)) (not (ho_48 (ho_47 k_54 BOUND_VARIABLE_13430) B)) (not (ho_48 _let_2 R)) (ho_48 _let_2 BOUND_VARIABLE_13482))))) )) (not (forall ((Xx $$unsorted) (BOUND_VARIABLE_13453 $$unsorted)) (let ((_let_0 (ho_52 k_51 Xx))) (let ((_let_1 (ho_53 _let_0 BOUND_VARIABLE_13453))) (let ((_let_2 (ho_47 k_54 _let_1))) (or (not (ho_48 (ho_47 k_54 Xx) A)) (not (ho_48 (ho_47 k_54 BOUND_VARIABLE_13453) B)) (not (ho_48 _let_2 BOUND_VARIABLE_13482)) (ho_48 _let_2 R))))) )) (= R BOUND_VARIABLE_13482)))) )
0.64/0.90	  ( skv_150, skv_150, skv_151, skv_152 )
0.64/0.90	)
0.64/0.90	(instantiation (forall ((A $$unsorted) (Xx $$unsorted) (BOUND_VARIABLE_13693 $$unsorted)) (let ((_let_0 (ho_47 k_54 BOUND_VARIABLE_13693))) (or (not (ho_48 (ho_47 k_54 Xx) A)) (not (ho_48 _let_0 A)) (ho_48 _let_0 (ho_116 (ho_118 k_117 A) (ho_47 k_66 BOUND_VARIABLE_13693))))) )
0.64/0.90	  ( omega, emptyset, emptyset )
0.64/0.90	)
0.64/0.90	(instantiation (forall ((A $$unsorted) (Xx $$unsorted) (BOUND_VARIABLE_13756 $$unsorted)) (or (not (ho_48 (ho_47 k_54 Xx) A)) (not (ho_48 (ho_47 k_54 BOUND_VARIABLE_13756) A)) (= (ho_116 (ho_118 k_117 A) (ho_47 k_65 BOUND_VARIABLE_13756)) (ho_53 (ho_52 k_94 BOUND_VARIABLE_13756) emptyset))) )
0.64/0.90	  ( omega, emptyset, emptyset )
0.64/0.90	)
0.64/0.90	(instantiation (forall ((A $$unsorted) (Xx $$unsorted) (BOUND_VARIABLE_13819 $$unsorted)) (let ((_let_0 (ho_47 k_54 Xx))) (or (not (ho_48 _let_0 A)) (not (ho_48 (ho_47 k_54 BOUND_VARIABLE_13819) A)) (ho_48 _let_0 (ho_116 (ho_118 k_117 A) (ho_47 k_64 Xx))))) )
0.64/0.90	  ( omega, emptyset, emptyset )
0.64/0.90	)
0.64/0.90	(instantiation (forall ((A $$unsorted) (Xx $$unsorted) (BOUND_VARIABLE_13882 $$unsorted)) (or (not (ho_48 (ho_47 k_54 Xx) A)) (not (ho_48 (ho_47 k_54 BOUND_VARIABLE_13882) A)) (= (ho_116 (ho_118 k_117 A) (ho_47 k_63 Xx)) (ho_53 (ho_52 k_94 Xx) emptyset))) )
0.64/0.90	  ( omega, emptyset, emptyset )
0.64/0.90	)
0.64/0.90	(instantiation (forall ((X $$unsorted) (BOUND_VARIABLE_13993 $$unsorted)) (or (not (ho_48 k_130 X)) (not (ho_48 (ho_47 k_54 BOUND_VARIABLE_13993) X)) (= BOUND_VARIABLE_13993 (ho_53 k_114 X))) )
0.64/0.90	  ( omega, emptyset )
0.64/0.90	  ( (ho_53 (ho_52 k_94 emptyset) emptyset), emptyset )
0.64/0.90	  ( (ho_120 k_119 BOOLEAN_TERM_VARIABLE_18224), emptyset )
0.64/0.90	)
0.64/0.90	(instantiation (forall ((A $$unsorted) (R $$unsorted) (BOUND_VARIABLE_16526 $$unsorted)) (let ((_let_0 (ho_47 k_123 R))) (let ((_let_1 (ho_52 k_129 A))) (let ((_let_2 (ho_53 _let_1 A))) (or (not (ho_48 _let_0 _let_2)) (not (ho_48 (ho_47 k_123 BOUND_VARIABLE_16526) _let_2)) (not (forall ((Xx $$unsorted) (BOUND_VARIABLE_16500 $$unsorted)) (let ((_let_0 (ho_52 k_51 Xx))) (let ((_let_1 (ho_53 _let_0 BOUND_VARIABLE_16500))) (let ((_let_2 (ho_47 k_54 _let_1))) (or (not (ho_48 (ho_47 k_54 Xx) A)) (not (ho_48 (ho_47 k_54 BOUND_VARIABLE_16500) A)) (not (ho_48 _let_2 R)) (ho_48 _let_2 BOUND_VARIABLE_16526))))) )) (ho_48 _let_0 BOUND_VARIABLE_16526))))) )
0.64/0.90	  ( skv_150, skv_151, skv_151 )
0.64/0.90	)
0.64/0.90	% SZS output end Proof for theBenchmark
0.64/0.90	EOF