0.02/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.09 % Command : do_CVC4 %s %d 0.08/0.29 % Computer : n027.cluster.edu 0.08/0.29 % Model : x86_64 x86_64 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.29 % Memory : 8042.1875MB 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.08/0.29 % CPULimit : 960 0.08/0.29 % WCLimit : 120 0.08/0.29 % DateTime : Thu Jul 2 07:35:32 EDT 2020 0.08/0.29 % CPUTime : 0.13/0.41 %----Proving TH0 0.13/0.41 ------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960... 0.13/0.41 --- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20... 0.57/0.80 % SZS status Theorem for theBenchmark 0.57/0.80 % SZS output start Proof for theBenchmark 0.57/0.80 (skolem (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_14561 $$unsorted) (BOUND_VARIABLE_14562 $$unsorted)) (let ((_let_0 (ho_58 k_120 A))) (let ((_let_1 (ho_51 k_74 BOUND_VARIABLE_14562))) (let ((_let_2 (ho_59 k_107 A))) (or (not (ho_49 (ho_51 k_74 X) _let_2)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_14561) _let_2)) (not (ho_49 _let_1 A)) (not (ho_49 _let_1 (ho_59 _let_0 (ho_59 (ho_58 k_118 X) BOUND_VARIABLE_14561)))) (ho_49 _let_1 (ho_59 (ho_58 k_119 (ho_59 _let_0 X)) (ho_59 _let_0 BOUND_VARIABLE_14561))))))) ) 0.57/0.80 ( skv_139 skv_140 skv_141 skv_142 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((Xx $$unsorted)) (not (ho_49 (ho_51 k_74 Xx) emptyset)) ) 0.57/0.80 ( emptyset ) 0.57/0.80 ( skv_140 ) 0.57/0.80 ( skv_141 ) 0.57/0.80 ( skv_142 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (= (ho_49 (ho_51 k_74 B) (ho_59 k_107 A)) (forall ((Xx $$unsorted)) (let ((_let_0 (ho_51 k_74 Xx))) (or (not (ho_49 _let_0 B)) (ho_49 _let_0 A))) )) ) 0.57/0.80 ( skv_139, skv_140 ) 0.57/0.80 ( skv_139, skv_141 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((Xx $$unsorted)) (or (not (ho_49 (ho_51 k_74 Xx) omega)) (ho_49 (ho_51 k_74 (ho_59 (ho_58 k_88 Xx) Xx)) omega)) ) 0.57/0.80 ( emptyset ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (BOUND_VARIABLE_9731 $$unsorted)) (let ((_let_0 (ho_51 k_74 BOUND_VARIABLE_9731))) (or (not (ho_49 (ho_51 k_74 emptyset) A)) (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_51 k_74 Xx))) (or (not (ho_49 _let_0 omega)) (not (ho_49 _let_0 A)) (ho_49 (ho_51 k_74 (ho_59 (ho_58 k_88 Xx) Xx)) A))) )) (not (ho_49 _let_0 omega)) (ho_49 _let_0 A))) ) 0.57/0.80 ( (let ((_let_0 (ho_58 k_120 skv_139))) (ho_59 (ho_58 k_119 (ho_59 _let_0 skv_140)) (ho_59 _let_0 skv_141))), skv_142 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (BOUND_VARIABLE_9790 $$unsorted)) (or (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_9790) A)) (not (forall ((B $$unsorted)) (or (not (ho_49 (ho_51 k_74 B) A)) (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_51 k_74 Xx))) (or (not (ho_49 _let_0 B)) (not (ho_49 _let_0 A)))) ))) ))) ) 0.57/0.80 ( omega, emptyset ) 0.57/0.80 ( (ho_59 (ho_58 k_88 emptyset) emptyset), emptyset ) 0.57/0.80 ( (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119), emptyset ) 0.57/0.80 ( skv_139, skv_142 ) 0.57/0.80 ( (ho_59 k_107 skv_139), skv_140 ) 0.57/0.80 ( (ho_59 k_107 skv_139), skv_141 ) 0.57/0.80 ( (ho_59 (ho_58 k_120 skv_139) (ho_59 (ho_58 k_118 skv_140) skv_141)), skv_142 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((BOUND_VARIABLE_17812 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_14920 $$unsorted)) (or (ho_49 BOUND_VARIABLE_17812 (ho_110 k_109 (ho_68 k_106 BOUND_VARIABLE_17812))) (not (ho_49 BOUND_VARIABLE_17812 BOUND_VARIABLE_14920)) (not (forall ((BOUND_VARIABLE_14893 $$unsorted)) (or (not (ho_49 BOUND_VARIABLE_17812 BOUND_VARIABLE_14893)) (= BOUND_VARIABLE_14893 BOUND_VARIABLE_14920)) ))) ) 0.57/0.80 ( (ho_51 k_74 emptyset), omega ) 0.57/0.80 ( (ho_51 k_74 emptyset), (ho_59 (ho_58 k_88 emptyset) emptyset) ) 0.57/0.80 ( (ho_51 k_74 emptyset), (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119) ) 0.57/0.80 ( k_116, (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119) ) 0.57/0.80 ( (ho_51 k_74 skv_140), (ho_59 k_107 skv_139) ) 0.57/0.80 ( (ho_51 k_74 skv_141), (ho_59 k_107 skv_139) ) 0.57/0.80 ( (ho_51 k_74 skv_142), skv_139 ) 0.57/0.80 ( (ho_51 k_74 skv_142), (ho_59 (ho_58 k_120 skv_139) (ho_59 (ho_58 k_118 skv_140) skv_141)) ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((BOUND_VARIABLE_17883 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_14970 $$unsorted)) (or (not (forall ((Xx $$unsorted)) (or (not (ho_49 BOUND_VARIABLE_17883 Xx)) (not (forall ((Xy $$unsorted)) (or (not (ho_49 BOUND_VARIABLE_17883 Xy)) (= Xx Xy)) ))) )) (not (ho_49 BOUND_VARIABLE_17883 BOUND_VARIABLE_14970)) (not (forall ((BOUND_VARIABLE_14943 $$unsorted)) (or (not (ho_49 BOUND_VARIABLE_17883 BOUND_VARIABLE_14943)) (= BOUND_VARIABLE_14943 BOUND_VARIABLE_14970)) ))) ) 0.57/0.80 ( (ho_51 k_74 emptyset), omega ) 0.57/0.80 ( (ho_51 k_74 emptyset), (ho_59 (ho_58 k_88 emptyset) emptyset) ) 0.57/0.80 ( (ho_51 k_74 emptyset), (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119) ) 0.57/0.80 ( k_116, (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119) ) 0.57/0.80 ( (ho_51 k_74 skv_140), (ho_59 k_107 skv_139) ) 0.57/0.80 ( (ho_51 k_74 skv_141), (ho_59 k_107 skv_139) ) 0.57/0.80 ( (ho_51 k_74 skv_142), skv_139 ) 0.57/0.80 ( (ho_51 k_74 skv_142), (ho_59 (ho_58 k_120 skv_139) (ho_59 (ho_58 k_118 skv_140) skv_141)) ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((Xx $$unsorted)) (not (ho_49 (ho_51 k_74 Xx) (ho_114 k_113 false))) ) 0.57/0.80 ( emptyset ) 0.57/0.80 ( skv_140 ) 0.57/0.80 ( skv_141 ) 0.57/0.80 ( skv_142 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((BOUND_VARIABLE_17930 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_15020 $$unsorted)) (or (not (forall ((Xx $$unsorted)) (not (ho_49 BOUND_VARIABLE_17930 Xx)) )) (not (ho_49 BOUND_VARIABLE_17930 BOUND_VARIABLE_15020)) (not (forall ((BOUND_VARIABLE_14993 $$unsorted)) (or (not (ho_49 BOUND_VARIABLE_17930 BOUND_VARIABLE_14993)) (= BOUND_VARIABLE_14993 BOUND_VARIABLE_15020)) ))) ) 0.57/0.80 ( (ho_51 k_74 emptyset), omega ) 0.57/0.80 ( (ho_51 k_74 emptyset), (ho_59 (ho_58 k_88 emptyset) emptyset) ) 0.57/0.80 ( (ho_51 k_74 emptyset), (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119) ) 0.57/0.80 ( k_116, (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119) ) 0.57/0.80 ( (ho_51 k_74 skv_140), (ho_59 k_107 skv_139) ) 0.57/0.80 ( (ho_51 k_74 skv_141), (ho_59 k_107 skv_139) ) 0.57/0.80 ( (ho_51 k_74 skv_142), skv_139 ) 0.57/0.80 ( (ho_51 k_74 skv_142), (ho_59 (ho_58 k_120 skv_139) (ho_59 (ho_58 k_118 skv_140) skv_141)) ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted)) (ho_49 (ho_51 k_74 emptyset) (ho_59 k_107 A)) ) 0.57/0.80 ( skv_139 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (B $$unsorted) (Xx $$unsorted)) (let ((_let_0 (ho_51 k_74 Xx))) (or (not (ho_49 (ho_51 k_74 B) (ho_59 k_107 A))) (not (ho_49 _let_0 B)) (ho_49 _let_0 A))) ) 0.57/0.80 ( skv_139, emptyset, emptyset ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((BOUND_VARIABLE_18131 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_15100 $$unsorted)) (or (not (forall ((Xx $$unsorted)) (not (forall ((Xy $$unsorted)) (= (ho_49 BOUND_VARIABLE_18131 Xy) (= Xx Xy)) )) )) (not (ho_49 BOUND_VARIABLE_18131 BOUND_VARIABLE_15100)) (not (forall ((BOUND_VARIABLE_15073 $$unsorted)) (or (not (ho_49 BOUND_VARIABLE_18131 BOUND_VARIABLE_15073)) (= BOUND_VARIABLE_15073 BOUND_VARIABLE_15100)) ))) ) 0.57/0.80 ( (ho_51 k_74 emptyset), omega ) 0.57/0.80 ( (ho_51 k_74 emptyset), (ho_59 (ho_58 k_88 emptyset) emptyset) ) 0.57/0.80 ( (ho_51 k_74 emptyset), (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119) ) 0.57/0.80 ( k_116, (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119) ) 0.57/0.80 ( (ho_51 k_74 skv_140), (ho_59 k_107 skv_139) ) 0.57/0.80 ( (ho_51 k_74 skv_141), (ho_59 k_107 skv_139) ) 0.57/0.80 ( (ho_51 k_74 skv_142), skv_139 ) 0.57/0.80 ( (ho_51 k_74 skv_142), (ho_59 (ho_58 k_120 skv_139) (ho_59 (ho_58 k_118 skv_140) skv_141)) ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((Xy $$unsorted)) (ho_49 (ho_51 k_74 Xy) (ho_59 (ho_58 k_88 Xy) emptyset)) ) 0.57/0.80 ( skv_140 ) 0.57/0.80 ( skv_141 ) 0.57/0.80 ( skv_142 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((BOUND_VARIABLE_18239 |u_(-> $$unsorted Bool)|) (Xx $$unsorted)) (or (not (ho_49 (ho_51 k_74 Xx) emptyset)) (ho_49 BOUND_VARIABLE_18239 Xx)) ) 0.57/0.80 ( (ho_51 k_74 skv_142), (let ((_let_0 (ho_58 k_120 skv_139))) (ho_59 (ho_58 k_119 (ho_59 _let_0 skv_140)) (ho_59 _let_0 skv_141))) ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((BOUND_VARIABLE_18393 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_10467 $$unsorted)) (or (not (ho_49 BOUND_VARIABLE_18393 BOUND_VARIABLE_10467)) (not (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (ho_49 BOUND_VARIABLE_18393 Xx)) (not (ho_49 BOUND_VARIABLE_18393 Xy)) (= Xx Xy)) )) (not (forall ((BOUND_VARIABLE_15160 $$unsorted)) (or (not (ho_49 BOUND_VARIABLE_18393 BOUND_VARIABLE_15160)) (not (forall ((BOUND_VARIABLE_15161 $$unsorted)) (or (not (ho_49 BOUND_VARIABLE_18393 BOUND_VARIABLE_15161)) (= BOUND_VARIABLE_15160 BOUND_VARIABLE_15161)) ))) ))) ) 0.57/0.80 ( (ho_51 k_74 emptyset), omega ) 0.57/0.80 ( (ho_51 k_74 emptyset), (ho_59 (ho_58 k_88 emptyset) emptyset) ) 0.57/0.80 ( (ho_51 k_74 emptyset), (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119) ) 0.57/0.80 ( k_116, (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119) ) 0.57/0.80 ( (ho_51 k_74 skv_140), (ho_59 k_107 skv_139) ) 0.57/0.80 ( (ho_51 k_74 skv_141), (ho_59 k_107 skv_139) ) 0.57/0.80 ( (ho_51 k_74 skv_142), skv_139 ) 0.57/0.80 ( (ho_51 k_74 skv_142), (ho_59 (ho_58 k_120 skv_139) (ho_59 (ho_58 k_118 skv_140) skv_141)) ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((BOUND_VARIABLE_18439 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_10580 $$unsorted) (BOUND_VARIABLE_10581 $$unsorted) (BOUND_VARIABLE_15249 $$unsorted)) (or (not (ho_49 BOUND_VARIABLE_18439 BOUND_VARIABLE_10580)) (not (ho_49 BOUND_VARIABLE_18439 BOUND_VARIABLE_10581)) (= BOUND_VARIABLE_10580 BOUND_VARIABLE_10581) (not (ho_49 BOUND_VARIABLE_18439 BOUND_VARIABLE_15249)) (not (forall ((BOUND_VARIABLE_15222 $$unsorted)) (or (not (ho_49 BOUND_VARIABLE_18439 BOUND_VARIABLE_15222)) (= BOUND_VARIABLE_15222 BOUND_VARIABLE_15249)) ))) ) 0.57/0.80 ( (ho_51 k_74 emptyset), omega, (ho_59 (ho_58 k_88 emptyset) emptyset), omega ) 0.57/0.80 ( (ho_51 k_74 emptyset), (ho_59 (ho_58 k_88 emptyset) emptyset), omega, (ho_59 (ho_58 k_88 emptyset) emptyset) ) 0.57/0.80 ( (ho_51 k_74 skv_142), skv_139, (ho_59 (ho_58 k_120 skv_139) (ho_59 (ho_58 k_118 skv_140) skv_141)), skv_139 ) 0.57/0.80 ( (ho_51 k_74 skv_142), (ho_59 (ho_58 k_120 skv_139) (ho_59 (ho_58 k_118 skv_140) skv_141)), skv_139, (ho_59 (ho_58 k_120 skv_139) (ho_59 (ho_58 k_118 skv_140) skv_141)) ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((BOUND_VARIABLE_18523 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_18513 |u_(-> $$unsorted Bool)|) (BOUND_VARIABLE_15435 $$unsorted) (BOUND_VARIABLE_15443 $$unsorted)) (or (not (forall ((Xy $$unsorted)) (= (ho_49 BOUND_VARIABLE_18523 Xy) (ho_49 BOUND_VARIABLE_18513 Xy)) )) (= (ho_110 k_109 (ho_68 k_98 BOUND_VARIABLE_18513)) (ho_110 k_109 (ho_68 k_99 BOUND_VARIABLE_18523))) (not (ho_49 BOUND_VARIABLE_18523 BOUND_VARIABLE_15435)) (not (forall ((BOUND_VARIABLE_15382 $$unsorted)) (or (not (ho_49 BOUND_VARIABLE_18523 BOUND_VARIABLE_15382)) (= BOUND_VARIABLE_15382 BOUND_VARIABLE_15435)) )) (not (ho_49 BOUND_VARIABLE_18513 BOUND_VARIABLE_15443)) (not (forall ((BOUND_VARIABLE_15408 $$unsorted)) (or (not (ho_49 BOUND_VARIABLE_18513 BOUND_VARIABLE_15408)) (= BOUND_VARIABLE_15408 BOUND_VARIABLE_15443)) ))) ) 0.57/0.80 ( (ho_51 k_74 emptyset), (ho_51 k_74 emptyset), omega, omega ) 0.57/0.80 ( (ho_51 k_74 emptyset), (ho_51 k_74 emptyset), (ho_59 (ho_58 k_88 emptyset) emptyset), (ho_59 (ho_58 k_88 emptyset) emptyset) ) 0.57/0.80 ( (ho_51 k_74 emptyset), (ho_51 k_74 emptyset), (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119), (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119) ) 0.57/0.80 ( k_116, k_116, (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119), (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119) ) 0.57/0.80 ( (ho_51 k_74 skv_140), (ho_51 k_74 skv_140), (ho_59 k_107 skv_139), (ho_59 k_107 skv_139) ) 0.57/0.80 ( (ho_51 k_74 skv_141), (ho_51 k_74 skv_141), (ho_59 k_107 skv_139), (ho_59 k_107 skv_139) ) 0.57/0.80 ( (ho_51 k_74 skv_142), (ho_51 k_74 skv_142), skv_139, skv_139 ) 0.57/0.80 ( (ho_51 k_74 skv_142), (ho_51 k_74 skv_142), (ho_59 (ho_58 k_120 skv_139) (ho_59 (ho_58 k_118 skv_140) skv_141)), (ho_59 (ho_58 k_120 skv_139) (ho_59 (ho_58 k_118 skv_140) skv_141)) ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((Xx $$unsorted) (A $$unsorted)) (ho_49 (ho_51 k_117 A) (ho_59 (ho_58 k_88 Xx) A)) ) 0.57/0.80 ( emptyset, emptyset ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (ho_49 (ho_51 k_74 B) (ho_59 k_107 A))) (ho_49 (ho_51 k_117 B) A)) ) 0.57/0.80 ( skv_139, skv_140 ) 0.57/0.80 ( skv_139, skv_141 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted)) (ho_49 (ho_51 k_74 A) (ho_59 k_107 A)) ) 0.57/0.80 ( emptyset ) 0.57/0.80 ( skv_139 ) 0.57/0.80 ( skv_140 ) 0.57/0.80 ( skv_141 ) 0.57/0.80 ( skv_142 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (ho_49 (ho_51 k_117 A) (ho_59 (ho_58 k_118 A) B)) ) 0.57/0.80 ( skv_140, skv_141 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (ho_49 (ho_51 k_117 B) (ho_59 (ho_58 k_118 A) B)) ) 0.57/0.80 ( skv_140, skv_141 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (B $$unsorted) (Xx $$unsorted)) (let ((_let_0 (ho_51 k_74 Xx))) (or (not (ho_49 _let_0 A)) (not (ho_49 _let_0 B)) (ho_49 _let_0 (ho_59 (ho_58 k_119 A) B)))) ) 0.57/0.80 ( (ho_59 (ho_58 k_120 skv_139) skv_140), (ho_59 (ho_58 k_120 skv_139) skv_141), skv_142 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (ho_49 (ho_51 k_117 (ho_59 (ho_58 k_119 A) B)) A) ) 0.57/0.80 ( (ho_59 (ho_58 k_120 skv_139) skv_140), (ho_59 (ho_58 k_120 skv_139) skv_141) ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (ho_49 (ho_51 k_117 A) B)) (= A (ho_59 (ho_58 k_119 A) B))) ) 0.57/0.80 ( (ho_59 (ho_58 k_120 skv_139) skv_140), (ho_59 (ho_58 k_120 skv_139) skv_141) ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (= B (ho_59 (ho_58 k_119 A) B))) (ho_49 (ho_51 k_117 B) A)) ) 0.57/0.80 ( (ho_59 (ho_58 k_120 skv_139) skv_140), (ho_59 (ho_58 k_120 skv_139) skv_141) ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_51 k_74 Xx))) (or (not (ho_49 _let_0 A)) (not (ho_49 _let_0 B)))) )) (= emptyset (ho_59 (ho_58 k_119 A) B))) ) 0.57/0.80 ( (ho_59 (ho_58 k_120 skv_139) skv_140), (ho_59 (ho_58 k_120 skv_139) skv_141) ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (ho_49 (ho_51 k_117 (ho_59 (ho_58 k_119 A) B)) B) ) 0.57/0.80 ( (ho_59 (ho_58 k_120 skv_139) skv_140), (ho_59 (ho_58 k_120 skv_139) skv_141) ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (ho_49 (ho_51 k_117 B) A)) (= B (ho_59 (ho_58 k_119 A) B))) ) 0.57/0.80 ( (ho_59 (ho_58 k_120 skv_139) skv_140), (ho_59 (ho_58 k_120 skv_139) skv_141) ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (= A (ho_59 (ho_58 k_119 A) B))) (ho_49 (ho_51 k_117 A) B)) ) 0.57/0.80 ( (ho_59 (ho_58 k_120 skv_139) skv_140), (ho_59 (ho_58 k_120 skv_139) skv_141) ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (B $$unsorted) (Xx $$unsorted)) (let ((_let_0 (ho_51 k_74 Xx))) (or (not (ho_49 _let_0 (ho_59 (ho_58 k_120 A) B))) (not (ho_49 _let_0 B)))) ) 0.57/0.80 ( skv_139, (ho_59 (ho_58 k_118 skv_140) skv_141), skv_142 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (ho_49 (ho_51 k_117 A) B)) (= emptyset (ho_59 (ho_58 k_120 A) B))) ) 0.57/0.80 ( skv_139, skv_140 ) 0.57/0.80 ( skv_139, skv_141 ) 0.57/0.80 ( skv_139, (ho_59 (ho_58 k_118 skv_140) skv_141) ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (ho_49 (ho_51 k_117 (ho_59 (ho_58 k_120 A) B)) A) ) 0.57/0.80 ( skv_139, skv_140 ) 0.57/0.80 ( skv_139, skv_141 ) 0.57/0.80 ( skv_139, (ho_59 (ho_58 k_118 skv_140) skv_141) ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (= emptyset (ho_59 (ho_58 k_120 A) B))) (ho_49 (ho_51 k_117 A) B)) ) 0.57/0.80 ( skv_139, skv_140 ) 0.57/0.80 ( skv_139, skv_141 ) 0.57/0.80 ( skv_139, (ho_59 (ho_58 k_118 skv_140) skv_141) ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (Xx $$unsorted)) (or (not (ho_49 (ho_51 k_74 Xx) A)) (ho_49 (ho_51 k_117 (ho_59 (ho_58 k_88 Xx) emptyset)) A)) ) 0.57/0.80 ( omega, emptyset ) 0.57/0.80 ( (ho_59 (ho_58 k_88 emptyset) emptyset), emptyset ) 0.57/0.80 ( (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119), emptyset ) 0.57/0.80 ( skv_139, skv_142 ) 0.57/0.80 ( (ho_59 k_107 skv_139), skv_140 ) 0.57/0.80 ( (ho_59 k_107 skv_139), skv_141 ) 0.57/0.80 ( (ho_59 (ho_58 k_120 skv_139) (ho_59 (ho_58 k_118 skv_140) skv_141)), skv_142 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted)) (ho_49 (ho_51 k_117 (ho_59 k_108 (ho_59 (ho_58 k_88 A) emptyset))) A) ) 0.57/0.80 ( emptyset ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted)) (ho_49 (ho_51 k_117 A) (ho_59 k_108 (ho_59 (ho_58 k_88 A) emptyset))) ) 0.57/0.80 ( emptyset ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((Xx $$unsorted)) (= Xx (ho_59 k_108 (ho_59 (ho_58 k_88 Xx) emptyset))) ) 0.57/0.80 ( emptyset ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((Xy $$unsorted)) (let ((_let_0 (ho_58 k_88 Xy))) (let ((_let_1 (ho_59 _let_0 emptyset))) (= _let_1 (ho_59 _let_0 _let_1)))) ) 0.57/0.80 ( emptyset ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (B $$unsorted) (Xx $$unsorted) (BOUND_VARIABLE_11601 $$unsorted)) (or (not (ho_49 (ho_51 k_74 Xx) A)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_11601) B)) (= Xx (ho_59 k_86 (ho_59 (ho_58 k_73 Xx) BOUND_VARIABLE_11601)))) ) 0.57/0.80 ( omega, omega, emptyset, emptyset ) 0.57/0.80 ( (ho_59 (ho_58 k_88 emptyset) emptyset), (ho_59 (ho_58 k_88 emptyset) emptyset), emptyset, emptyset ) 0.57/0.80 ( (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119), (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119), emptyset, emptyset ) 0.57/0.80 ( skv_139, skv_139, skv_142, skv_142 ) 0.57/0.80 ( (ho_59 k_107 skv_139), (ho_59 k_107 skv_139), skv_140, skv_140 ) 0.57/0.80 ( (ho_59 k_107 skv_139), (ho_59 k_107 skv_139), skv_141, skv_141 ) 0.57/0.80 ( (ho_59 (ho_58 k_120 skv_139) (ho_59 (ho_58 k_118 skv_140) skv_141)), (ho_59 (ho_58 k_120 skv_139) (ho_59 (ho_58 k_118 skv_140) skv_141)), skv_142, skv_142 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (B $$unsorted) (Xx $$unsorted) (BOUND_VARIABLE_11625 $$unsorted)) (or (not (ho_49 (ho_51 k_74 Xx) A)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_11625) B)) (= BOUND_VARIABLE_11625 (ho_59 k_125 (ho_59 (ho_58 k_73 Xx) BOUND_VARIABLE_11625)))) ) 0.57/0.80 ( omega, omega, emptyset, emptyset ) 0.57/0.80 ( (ho_59 (ho_58 k_88 emptyset) emptyset), (ho_59 (ho_58 k_88 emptyset) emptyset), emptyset, emptyset ) 0.57/0.80 ( (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119), (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119), emptyset, emptyset ) 0.57/0.80 ( skv_139, skv_139, skv_142, skv_142 ) 0.57/0.80 ( (ho_59 k_107 skv_139), (ho_59 k_107 skv_139), skv_140, skv_140 ) 0.57/0.80 ( (ho_59 k_107 skv_139), (ho_59 k_107 skv_139), skv_141, skv_141 ) 0.57/0.80 ( (ho_59 (ho_58 k_120 skv_139) (ho_59 (ho_58 k_118 skv_140) skv_141)), (ho_59 (ho_58 k_120 skv_139) (ho_59 (ho_58 k_118 skv_140) skv_141)), skv_142, skv_142 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (B $$unsorted) (Xf $$unsorted) (BOUND_VARIABLE_12232 $$unsorted) (BOUND_VARIABLE_12233 $$unsorted)) (or (not (ho_49 (ho_51 k_74 Xf) (ho_59 (ho_58 k_131 A) B))) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_12232) A)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_12233) B)) (not (ho_49 (ho_51 k_74 (ho_59 (ho_58 k_73 BOUND_VARIABLE_12232) BOUND_VARIABLE_12233)) Xf)) (= BOUND_VARIABLE_12233 (ho_59 (ho_58 (ho_57 (ho_56 k_60 A) B) Xf) BOUND_VARIABLE_12232))) ) 0.57/0.80 ( omega, omega, emptyset, emptyset, emptyset ) 0.57/0.80 ( (ho_59 (ho_58 k_88 emptyset) emptyset), (ho_59 (ho_58 k_88 emptyset) emptyset), skv_140, emptyset, emptyset ) 0.57/0.80 ( (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119), (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119), skv_141, emptyset, emptyset ) 0.57/0.80 ( (ho_59 k_107 skv_139), (ho_59 k_107 skv_139), skv_142, skv_140, skv_140 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (Xx $$unsorted) (BOUND_VARIABLE_12576 $$unsorted)) (let ((_let_0 (ho_51 k_74 BOUND_VARIABLE_12576))) (or (not (ho_49 (ho_51 k_74 Xx) A)) (not (ho_49 _let_0 A)) (ho_49 _let_0 (ho_110 (ho_112 k_111 A) (ho_51 k_54 BOUND_VARIABLE_12576))))) ) 0.57/0.80 ( omega, emptyset, emptyset ) 0.57/0.80 ( (ho_59 (ho_58 k_88 emptyset) emptyset), emptyset, skv_140 ) 0.57/0.80 ( (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119), emptyset, skv_141 ) 0.57/0.80 ( (ho_59 k_107 skv_139), skv_140, skv_142 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (Xx $$unsorted) (BOUND_VARIABLE_12639 $$unsorted)) (or (not (ho_49 (ho_51 k_74 Xx) A)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_12639) A)) (= (ho_110 (ho_112 k_111 A) (ho_51 k_53 BOUND_VARIABLE_12639)) (ho_59 (ho_58 k_88 BOUND_VARIABLE_12639) emptyset))) ) 0.57/0.80 ( omega, emptyset, emptyset ) 0.57/0.80 ( (ho_59 (ho_58 k_88 emptyset) emptyset), emptyset, skv_140 ) 0.57/0.80 ( (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119), emptyset, skv_141 ) 0.57/0.80 ( (ho_59 k_107 skv_139), skv_140, skv_142 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (Xx $$unsorted) (BOUND_VARIABLE_12702 $$unsorted)) (let ((_let_0 (ho_51 k_74 Xx))) (or (not (ho_49 _let_0 A)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_12702) A)) (ho_49 _let_0 (ho_110 (ho_112 k_111 A) (ho_51 k_52 Xx))))) ) 0.57/0.80 ( omega, emptyset, emptyset ) 0.57/0.80 ( (ho_59 (ho_58 k_88 emptyset) emptyset), skv_140, emptyset ) 0.57/0.80 ( (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119), skv_141, emptyset ) 0.57/0.80 ( (ho_59 k_107 skv_139), skv_142, skv_140 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (Xx $$unsorted) (BOUND_VARIABLE_12765 $$unsorted)) (or (not (ho_49 (ho_51 k_74 Xx) A)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_12765) A)) (= (ho_110 (ho_112 k_111 A) (ho_51 k_50 Xx)) (ho_59 (ho_58 k_88 Xx) emptyset))) ) 0.57/0.80 ( omega, emptyset, emptyset ) 0.57/0.80 ( (ho_59 (ho_58 k_88 emptyset) emptyset), emptyset, skv_140 ) 0.57/0.80 ( (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119), emptyset, skv_141 ) 0.57/0.80 ( (ho_59 k_107 skv_139), skv_140, skv_142 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((X $$unsorted) (BOUND_VARIABLE_12876 $$unsorted)) (or (not (ho_49 k_124 X)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_12876) X)) (= BOUND_VARIABLE_12876 (ho_59 k_108 X))) ) 0.57/0.80 ( omega, emptyset ) 0.57/0.80 ( (ho_59 (ho_58 k_88 emptyset) emptyset), emptyset ) 0.57/0.80 ( (ho_114 k_113 BOOLEAN_TERM_VARIABLE_16119), emptyset ) 0.57/0.80 ( skv_139, skv_142 ) 0.57/0.80 ( (ho_59 k_107 skv_139), skv_140 ) 0.57/0.80 ( (ho_59 k_107 skv_139), skv_141 ) 0.57/0.80 ( (ho_59 (ho_58 k_120 skv_139) (ho_59 (ho_58 k_118 skv_140) skv_141)), skv_142 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted)) (let ((_let_0 (ho_59 k_107 A))) (or (not (ho_49 (ho_51 k_74 X) _let_0)) (ho_49 (ho_51 k_74 (ho_59 (ho_58 k_120 A) X)) _let_0))) ) 0.57/0.80 ( skv_139, skv_140 ) 0.57/0.80 ( skv_139, skv_141 ) 0.57/0.80 ( skv_139, (ho_59 (ho_58 k_118 skv_140) skv_141) ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_13075 $$unsorted)) (let ((_let_0 (ho_59 k_107 A))) (or (not (ho_49 (ho_51 k_74 X) _let_0)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_13075) _let_0)) (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_51 k_74 Xx))) (or (not (ho_49 _let_0 A)) (not (ho_49 _let_0 X)) (ho_49 _let_0 BOUND_VARIABLE_13075))) )) (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_51 k_74 Xx))) (or (not (ho_49 _let_0 A)) (not (ho_49 _let_0 BOUND_VARIABLE_13075)) (ho_49 _let_0 X))) )) (= X BOUND_VARIABLE_13075))) ) 0.57/0.80 ( skv_139, emptyset, skv_140 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_13113 $$unsorted)) (let ((_let_0 (ho_59 k_107 A))) (or (not (ho_49 (ho_51 k_74 X) _let_0)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_13113) _let_0)) (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_51 k_74 Xx))) (or (not (ho_49 _let_0 A)) (not (ho_49 _let_0 X)) (ho_49 _let_0 BOUND_VARIABLE_13113))) )) (ho_49 (ho_51 k_117 X) BOUND_VARIABLE_13113))) ) 0.57/0.80 ( skv_139, emptyset, emptyset ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_13146 $$unsorted)) (let ((_let_0 (ho_51 k_74 X))) (let ((_let_1 (ho_59 k_107 A))) (or (not (ho_49 _let_0 _let_1)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_13146) _let_1)) (not (forall ((Xx $$unsorted)) (let ((_let_0 (ho_51 k_74 Xx))) (or (not (ho_49 _let_0 A)) (not (ho_49 _let_0 X)) (ho_49 _let_0 BOUND_VARIABLE_13146))) )) (ho_49 _let_0 (ho_59 k_107 BOUND_VARIABLE_13146))))) ) 0.57/0.80 ( skv_139, emptyset, emptyset ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_13194 $$unsorted) (BOUND_VARIABLE_13195 $$unsorted)) (let ((_let_0 (ho_51 k_74 BOUND_VARIABLE_13195))) (let ((_let_1 (ho_51 k_74 X))) (let ((_let_2 (ho_59 k_107 A))) (or (not (ho_49 _let_1 _let_2)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_13194) _let_2)) (not (ho_49 _let_1 (ho_59 k_107 BOUND_VARIABLE_13194))) (not (ho_49 _let_0 A)) (not (ho_49 _let_0 X)) (ho_49 _let_0 BOUND_VARIABLE_13194))))) ) 0.57/0.80 ( skv_139, emptyset, emptyset, emptyset ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_13223 $$unsorted)) (let ((_let_0 (ho_51 k_74 BOUND_VARIABLE_13223))) (or (not (ho_49 (ho_51 k_74 X) (ho_59 k_107 A))) (not (ho_49 _let_0 A)) (not (ho_49 _let_0 X)) (not (ho_49 _let_0 (ho_59 (ho_58 k_120 A) X))))) ) 0.57/0.80 ( skv_139, (ho_59 (ho_58 k_118 skv_140) skv_141), skv_142 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_13284 $$unsorted) (BOUND_VARIABLE_13285 $$unsorted)) (let ((_let_0 (ho_51 k_74 BOUND_VARIABLE_13285))) (let ((_let_1 (ho_59 k_107 A))) (or (not (ho_49 (ho_51 k_74 X) _let_1)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_13284) _let_1)) (not (ho_49 _let_0 A)) (ho_49 _let_0 X) (not (ho_49 _let_0 (ho_59 (ho_58 k_119 X) BOUND_VARIABLE_13284)))))) ) 0.57/0.80 ( skv_139, emptyset, emptyset, emptyset ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_13327 $$unsorted) (BOUND_VARIABLE_13328 $$unsorted)) (let ((_let_0 (ho_51 k_74 BOUND_VARIABLE_13328))) (let ((_let_1 (ho_59 k_107 A))) (or (not (ho_49 (ho_51 k_74 X) _let_1)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_13327) _let_1)) (not (ho_49 _let_0 A)) (ho_49 _let_0 BOUND_VARIABLE_13327) (not (ho_49 _let_0 (ho_59 (ho_58 k_119 X) BOUND_VARIABLE_13327)))))) ) 0.57/0.80 ( skv_139, emptyset, emptyset, emptyset ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_13377 $$unsorted) (BOUND_VARIABLE_13378 $$unsorted)) (let ((_let_0 (ho_51 k_74 BOUND_VARIABLE_13378))) (let ((_let_1 (ho_59 k_107 A))) (or (not (ho_49 (ho_51 k_74 X) _let_1)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_13377) _let_1)) (not (ho_49 (ho_51 k_117 X) (ho_59 (ho_58 k_120 A) BOUND_VARIABLE_13377))) (not (ho_49 _let_0 A)) (not (ho_49 _let_0 BOUND_VARIABLE_13377)) (not (ho_49 _let_0 X))))) ) 0.57/0.80 ( skv_139, emptyset, emptyset, emptyset ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_13428 $$unsorted) (BOUND_VARIABLE_13429 $$unsorted)) (let ((_let_0 (ho_51 k_74 BOUND_VARIABLE_13429))) (let ((_let_1 (ho_59 k_107 A))) (or (not (ho_49 (ho_51 k_74 X) _let_1)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_13428) _let_1)) (not (ho_49 (ho_51 k_117 X) BOUND_VARIABLE_13428)) (not (ho_49 _let_0 A)) (ho_49 _let_0 BOUND_VARIABLE_13428) (not (ho_49 _let_0 X))))) ) 0.57/0.80 ( skv_139, emptyset, emptyset, emptyset ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted)) (let ((_let_0 (ho_58 k_120 A))) (or (not (ho_49 (ho_51 k_74 X) (ho_59 k_107 A))) (ho_49 (ho_51 k_117 X) (ho_59 _let_0 (ho_59 _let_0 X))))) ) 0.57/0.80 ( skv_139, skv_140 ) 0.57/0.80 ( skv_139, skv_141 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted)) (let ((_let_0 (ho_58 k_120 A))) (or (not (ho_49 (ho_51 k_74 X) (ho_59 k_107 A))) (ho_49 (ho_51 k_117 (ho_59 _let_0 (ho_59 _let_0 X))) X))) ) 0.57/0.80 ( skv_139, skv_140 ) 0.57/0.80 ( skv_139, skv_141 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted)) (let ((_let_0 (ho_58 k_120 A))) (or (not (ho_49 (ho_51 k_74 X) (ho_59 k_107 A))) (= X (ho_59 _let_0 (ho_59 _let_0 X))))) ) 0.57/0.80 ( skv_139, skv_140 ) 0.57/0.80 ( skv_139, skv_141 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_13580 $$unsorted) (BOUND_VARIABLE_13581 $$unsorted)) (let ((_let_0 (ho_51 k_74 BOUND_VARIABLE_13581))) (let ((_let_1 (ho_59 k_107 A))) (or (not (ho_49 (ho_51 k_74 X) _let_1)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_13580) _let_1)) (not (ho_49 _let_0 A)) (not (ho_49 _let_0 (ho_59 (ho_58 k_120 A) X))) (not (ho_49 _let_0 (ho_59 (ho_58 k_119 X) BOUND_VARIABLE_13580)))))) ) 0.57/0.80 ( skv_139, emptyset, emptyset, emptyset ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_13716 $$unsorted) (BOUND_VARIABLE_13717 $$unsorted)) (let ((_let_0 (ho_58 k_120 A))) (let ((_let_1 (ho_51 k_74 BOUND_VARIABLE_13717))) (let ((_let_2 (ho_59 k_107 A))) (or (not (ho_49 (ho_51 k_74 X) _let_2)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_13716) _let_2)) (not (ho_49 (ho_51 k_117 X) (ho_59 _let_0 BOUND_VARIABLE_13716))) (not (ho_49 _let_1 A)) (not (ho_49 _let_1 BOUND_VARIABLE_13716)) (ho_49 _let_1 (ho_59 _let_0 X)))))) ) 0.57/0.80 ( skv_139, emptyset, emptyset, emptyset ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_13785 $$unsorted) (BOUND_VARIABLE_13786 $$unsorted)) (let ((_let_0 (ho_51 k_74 BOUND_VARIABLE_13786))) (let ((_let_1 (ho_59 k_107 A))) (or (not (ho_49 (ho_51 k_74 X) _let_1)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_13785) _let_1)) (not (ho_49 _let_0 A)) (ho_49 _let_0 (ho_59 (ho_58 k_118 X) BOUND_VARIABLE_13785)) (not (ho_49 _let_0 X))))) ) 0.57/0.80 ( skv_139, emptyset, emptyset, emptyset ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_13828 $$unsorted) (BOUND_VARIABLE_13829 $$unsorted)) (let ((_let_0 (ho_51 k_74 BOUND_VARIABLE_13829))) (let ((_let_1 (ho_59 k_107 A))) (or (not (ho_49 (ho_51 k_74 X) _let_1)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_13828) _let_1)) (not (ho_49 _let_0 A)) (ho_49 _let_0 (ho_59 (ho_58 k_118 X) BOUND_VARIABLE_13828)) (not (ho_49 _let_0 BOUND_VARIABLE_13828))))) ) 0.57/0.80 ( skv_139, emptyset, emptyset, emptyset ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_13893 $$unsorted) (BOUND_VARIABLE_13894 $$unsorted) (BOUND_VARIABLE_13895 $$unsorted)) (let ((_let_0 (ho_51 k_74 BOUND_VARIABLE_13895))) (let ((_let_1 (ho_59 k_107 A))) (or (not (ho_49 (ho_51 k_74 X) _let_1)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_13893) _let_1)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_13894) _let_1)) (not (ho_49 _let_0 A)) (not (ho_49 _let_0 (ho_59 (ho_58 k_119 X) BOUND_VARIABLE_13893))) (ho_49 _let_0 (ho_59 (ho_58 k_118 X) BOUND_VARIABLE_13894))))) ) 0.57/0.80 ( skv_139, emptyset, emptyset, emptyset, emptyset ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_13962 $$unsorted) (BOUND_VARIABLE_13963 $$unsorted) (BOUND_VARIABLE_13964 $$unsorted)) (let ((_let_0 (ho_51 k_74 BOUND_VARIABLE_13964))) (let ((_let_1 (ho_59 k_107 A))) (or (not (ho_49 (ho_51 k_74 X) _let_1)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_13962) _let_1)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_13963) _let_1)) (not (ho_49 _let_0 A)) (not (ho_49 _let_0 (ho_59 (ho_58 k_119 X) BOUND_VARIABLE_13962))) (ho_49 _let_0 (ho_59 (ho_58 k_118 BOUND_VARIABLE_13962) BOUND_VARIABLE_13963))))) ) 0.57/0.80 ( skv_139, emptyset, emptyset, emptyset, emptyset ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_14033 $$unsorted) (BOUND_VARIABLE_14034 $$unsorted) (BOUND_VARIABLE_14035 $$unsorted)) (let ((_let_0 (ho_51 k_74 BOUND_VARIABLE_14035))) (let ((_let_1 (ho_59 k_107 A))) (or (not (ho_49 (ho_51 k_74 X) _let_1)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_14033) _let_1)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_14034) _let_1)) (not (ho_49 _let_0 A)) (not (ho_49 _let_0 (ho_59 (ho_58 k_119 X) BOUND_VARIABLE_14033))) (ho_49 _let_0 (ho_59 (ho_58 k_119 (ho_59 (ho_58 k_118 X) BOUND_VARIABLE_14034)) (ho_59 (ho_58 k_118 BOUND_VARIABLE_14033) BOUND_VARIABLE_14034)))))) ) 0.57/0.80 ( skv_139, emptyset, emptyset, emptyset, emptyset ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_14083 $$unsorted) (BOUND_VARIABLE_14084 $$unsorted)) (let ((_let_0 (ho_59 k_107 A))) (or (not (ho_49 (ho_51 k_74 X) _let_0)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_14083) _let_0)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_14084) _let_0)) (ho_49 (ho_51 k_74 (ho_59 (ho_58 k_119 X) BOUND_VARIABLE_14083)) (ho_59 k_107 (ho_59 (ho_58 k_119 (ho_59 (ho_58 k_118 X) BOUND_VARIABLE_14084)) (ho_59 (ho_58 k_118 BOUND_VARIABLE_14083) BOUND_VARIABLE_14084)))))) ) 0.57/0.80 ( skv_139, skv_140, skv_140, emptyset ) 0.57/0.80 ( skv_139, skv_141, skv_141, skv_140 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_14130 $$unsorted) (BOUND_VARIABLE_14131 $$unsorted)) (let ((_let_0 (ho_51 k_74 BOUND_VARIABLE_14131))) (let ((_let_1 (ho_59 k_107 A))) (or (not (ho_49 (ho_51 k_74 X) _let_1)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_14130) _let_1)) (not (ho_49 _let_0 A)) (not (ho_49 _let_0 (ho_59 (ho_58 k_120 A) (ho_59 (ho_58 k_118 X) BOUND_VARIABLE_14130)))) (not (ho_49 _let_0 X))))) ) 0.57/0.80 ( skv_139, skv_140, skv_141, skv_142 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_14176 $$unsorted) (BOUND_VARIABLE_14177 $$unsorted)) (let ((_let_0 (ho_58 k_120 A))) (let ((_let_1 (ho_51 k_74 BOUND_VARIABLE_14177))) (let ((_let_2 (ho_59 k_107 A))) (or (not (ho_49 (ho_51 k_74 X) _let_2)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_14176) _let_2)) (not (ho_49 _let_1 A)) (not (ho_49 _let_1 (ho_59 _let_0 (ho_59 (ho_58 k_118 X) BOUND_VARIABLE_14176)))) (ho_49 _let_1 (ho_59 _let_0 X)))))) ) 0.57/0.80 ( skv_139, skv_140, skv_141, skv_142 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_14238 $$unsorted) (BOUND_VARIABLE_14239 $$unsorted)) (let ((_let_0 (ho_51 k_74 BOUND_VARIABLE_14239))) (let ((_let_1 (ho_59 k_107 A))) (or (not (ho_49 (ho_51 k_74 X) _let_1)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_14238) _let_1)) (not (ho_49 _let_0 A)) (not (ho_49 _let_0 (ho_59 (ho_58 k_118 X) BOUND_VARIABLE_14238))) (ho_49 _let_0 X) (ho_49 _let_0 BOUND_VARIABLE_14238)))) ) 0.57/0.80 ( skv_139, emptyset, emptyset, emptyset ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_14355 $$unsorted)) (let ((_let_0 (ho_58 k_120 A))) (let ((_let_1 (ho_59 k_107 A))) (or (not (ho_49 (ho_51 k_74 X) _let_1)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_14355) _let_1)) (ho_49 (ho_51 k_74 (ho_59 _let_0 (ho_59 (ho_58 k_118 X) BOUND_VARIABLE_14355))) (ho_59 k_107 (ho_59 _let_0 X)))))) ) 0.57/0.80 ( skv_139, skv_140, skv_141 ) 0.57/0.80 ) 0.57/0.80 (instantiation (forall ((A $$unsorted) (X $$unsorted) (BOUND_VARIABLE_14395 $$unsorted) (BOUND_VARIABLE_14396 $$unsorted)) (let ((_let_0 (ho_58 k_120 A))) (let ((_let_1 (ho_51 k_74 BOUND_VARIABLE_14396))) (let ((_let_2 (ho_59 k_107 A))) (or (not (ho_49 (ho_51 k_74 X) _let_2)) (not (ho_49 (ho_51 k_74 BOUND_VARIABLE_14395) _let_2)) (not (ho_49 _let_1 A)) (not (ho_49 _let_1 (ho_59 _let_0 (ho_59 (ho_58 k_118 X) BOUND_VARIABLE_14395)))) (ho_49 _let_1 (ho_59 _let_0 BOUND_VARIABLE_14395)))))) ) 0.57/0.80 ( skv_139, skv_140, skv_141, skv_142 ) 0.57/0.80 ) 0.57/0.80 % SZS output end Proof for theBenchmark 0.57/0.81 EOF