0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : do_CVC4 %s 0.03/0.24 % Computer : n023.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Fri Jul 13 14:53:12 CDT 2018 0.03/0.24 % CPUTime : 0.03/0.28 %----Proving without arithmetic mode 0.03/0.28 ------- cvc4-fof casc j9 : /export/starexec/sandbox/benchmark/theBenchmark.p at ... 0.03/0.28 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 20... 20.19/20.70 --- Run --no-e-matching --full-saturate-quant at 20... 40.15/40.75 --- Run --finite-model-find --uf-ss=no-minimal at 15... 55.23/55.78 --- Run --multi-trigger-when-single --full-saturate-quant at 5... 60.24/60.81 --- Run --trigger-sel=max --full-saturate-quant at 5... 65.27/65.89 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5... 70.30/70.94 --- Run --multi-trigger-cache --full-saturate-quant at 10... 80.31/80.98 --- Run --prenex-quant=none --full-saturate-quant at 15... 95.35/96.02 --- Run --fs-inst --decision=internal --full-saturate-quant at 15... 95.35/96.03 --- Run --relevant-triggers --full-saturate-quant at 15... 110.41/111.07 --- Run --finite-model-find --fmf-inst-engine --sort-inference --uf-ss-fair at 15... 111.47/112.10 % SZS status Theorem for theBenchmark 111.47/112.10 % SZS output start Proof for theBenchmark 111.47/112.10 (skolem (forall ((b_I1 it_8_$$unsorted) (Ax $$unsorted) (C $$unsorted) (b_BOUND_VARIABLE_980 it_8_$$unsorted)) (or (io_model_3 b_I1 C) (not (io_model_3 b_BOUND_VARIABLE_980 C)) (not (io_model_3 b_I1 Ax))) ) 111.47/112.10 ( skv_27 skv_28 skv_29 skv_30 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((F $$unsorted) (b_BOUND_VARIABLE_1004 it_8_$$unsorted) (b_BOUND_VARIABLE_1006 it_8_$$unsorted)) (or (io_model_3 b_BOUND_VARIABLE_1004 F) (not (io_model_3 b_BOUND_VARIABLE_1006 F))) ) 111.47/112.10 ( skv_31 skv_32 skv_33 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((Ax $$unsorted) (C $$unsorted) (b_BOUND_VARIABLE_1051 it_8_$$unsorted) (b_BOUND_VARIABLE_1053 it_8_$$unsorted) (b_BOUND_VARIABLE_1056 it_8_$$unsorted)) (or (and (io_model_3 b_BOUND_VARIABLE_1051 C) (io_model_3 b_BOUND_VARIABLE_1053 Ax)) (not (io_model_3 b_BOUND_VARIABLE_1056 C)) (not (io_model_3 b_BOUND_VARIABLE_1056 Ax))) ) 111.47/112.10 ( skv_34 skv_35 skv_36 skv_37 skv_38 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((Ax $$unsorted) (C $$unsorted) (b_BOUND_VARIABLE_1091 it_8_$$unsorted) (b_BOUND_VARIABLE_1096 it_8_$$unsorted) (b_BOUND_VARIABLE_1098 it_8_$$unsorted)) (or (not (forall ((b_I2 it_8_$$unsorted)) (or (not (io_model_3 b_I2 Ax)) (io_model_3 b_I2 C)) )) (io_model_3 b_BOUND_VARIABLE_1096 C) (not (io_model_3 b_BOUND_VARIABLE_1098 Ax)) (io_model_3 b_BOUND_VARIABLE_1091 Ax) (not (io_model_3 b_BOUND_VARIABLE_1091 C))) ) 111.47/112.10 ( skv_39 skv_40 skv_41 skv_42 skv_43 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((F $$unsorted)) (not (forall ((b_I it_8_$$unsorted)) (not (io_model_3 b_I F)) )) ) 111.47/112.10 ( skv_44 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((F $$unsorted)) (not (forall ((b_I it_8_$$unsorted)) (io_model_3 b_I F) )) ) 111.47/112.10 ( skv_45 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I1 it_8_$$unsorted)) (not (io_model_3 b_I1 skv_29)) ) 111.47/112.10 ( skv_79 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I2 it_8_$$unsorted)) (io_model_3 b_I2 (not skv_29)) ) 111.47/112.10 ( skv_80 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((Ax $$unsorted) (C $$unsorted)) (not (io_status_2 Ax C i_thm_7)) ) 111.47/112.10 ( skv_81 skv_82 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I2 it_8_$$unsorted)) (io_model_3 b_I2 skv_29) ) 111.47/112.10 ( skv_83 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I1 it_8_$$unsorted)) (not (io_model_3 b_I1 skv_81)) ) 111.47/112.10 ( skv_84 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_81)) (not (io_model_3 b_I1 skv_82))) ) 111.47/112.10 ( skv_85 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I2 it_8_$$unsorted)) (io_model_3 b_I2 skv_81) ) 111.47/112.10 ( skv_86 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I2 it_8_$$unsorted)) (not (io_model_3 b_I2 skv_82)) ) 111.47/112.10 ( skv_87 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I3 it_8_$$unsorted)) (io_model_3 b_I3 skv_82) ) 111.47/112.10 ( skv_88 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I2 it_8_$$unsorted)) (io_model_3 b_I2 (not skv_82)) ) 111.47/112.10 ( skv_89 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I2 it_8_$$unsorted)) (io_model_3 b_I2 (not skv_45)) ) 111.47/112.10 ( skv_95 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_29)) (io_model_3 b_I1 skv_44)) ) 111.47/112.10 ( skv_96 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_29)) (io_model_3 b_I1 (not skv_39))) ) 111.47/112.10 ( skv_97 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_44)) (io_model_3 b_I1 skv_29)) ) 111.47/112.10 ( skv_98 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 (not skv_39))) (io_model_3 b_I1 skv_29)) ) 111.47/112.10 ( skv_99 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I1 it_8_$$unsorted)) (not (io_model_3 b_I1 skv_28)) ) 111.47/112.10 ( skv_100 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_44)) (io_model_3 b_I1 skv_28)) ) 111.47/112.10 ( skv_101 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 (not skv_39))) (io_model_3 b_I1 skv_28)) ) 111.47/112.10 ( skv_102 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_28)) (io_model_3 b_I1 skv_44)) ) 111.47/112.10 ( skv_103 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_28)) (io_model_3 b_I1 (not skv_39))) ) 111.47/112.10 ( skv_104 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I2 it_8_$$unsorted)) (io_model_3 b_I2 (not skv_28)) ) 111.47/112.10 ( skv_105 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I2 it_8_$$unsorted)) (io_model_3 b_I2 (not skv_44)) ) 111.47/112.10 ( skv_106 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I2 it_8_$$unsorted)) (io_model_3 b_I2 (not (not skv_39))) ) 111.47/112.10 ( skv_107 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I3 it_8_$$unsorted)) (io_model_3 b_I3 (not skv_39)) ) 111.47/112.10 ( skv_108 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_28)) (io_model_3 b_I1 skv_39)) ) 111.47/112.10 ( skv_109 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_29)) (io_model_3 b_I1 skv_39)) ) 111.47/112.10 ( skv_110 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_39)) (io_model_3 b_I1 skv_28)) ) 111.47/112.10 ( skv_111 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_39)) (io_model_3 b_I1 skv_29)) ) 111.47/112.10 ( skv_112 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_28)) (io_model_3 b_I1 skv_45)) ) 111.47/112.10 ( skv_113 ) 111.47/112.10 ) 111.47/112.10 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_29)) (io_model_3 b_I1 skv_45)) ) 111.47/112.10 ( skv_114 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_45)) (io_model_3 b_I1 skv_28)) ) 111.47/112.11 ( skv_115 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_45)) (io_model_3 b_I1 skv_29)) ) 111.47/112.11 ( skv_116 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I3 it_8_$$unsorted)) (io_model_3 b_I3 skv_39) ) 111.47/112.11 ( skv_117 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I3 it_8_$$unsorted)) (io_model_3 b_I3 skv_44) ) 111.47/112.11 ( skv_118 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I3 it_8_$$unsorted)) (= (io_model_3 b_I3 skv_29) (io_model_3 b_I3 skv_28)) ) 111.47/112.11 ( skv_119 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I3 it_8_$$unsorted)) (= (io_model_3 b_I3 skv_39) (io_model_3 b_I3 skv_28)) ) 111.47/112.11 ( skv_120 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I3 it_8_$$unsorted)) (= (io_model_3 b_I3 skv_44) (io_model_3 b_I3 skv_28)) ) 111.47/112.11 ( skv_121 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I3 it_8_$$unsorted)) (= (io_model_3 b_I3 skv_45) (io_model_3 b_I3 skv_28)) ) 111.47/112.11 ( skv_122 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I3 it_8_$$unsorted)) (= (io_model_3 b_I3 (not skv_39)) (io_model_3 b_I3 skv_28)) ) 111.47/112.11 ( skv_123 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I3 it_8_$$unsorted)) (= (io_model_3 b_I3 skv_39) (io_model_3 b_I3 skv_29)) ) 111.47/112.11 ( skv_124 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I3 it_8_$$unsorted)) (= (io_model_3 b_I3 skv_44) (io_model_3 b_I3 skv_29)) ) 111.47/112.11 ( skv_125 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I3 it_8_$$unsorted)) (= (io_model_3 b_I3 skv_45) (io_model_3 b_I3 skv_29)) ) 111.47/112.11 ( skv_126 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I3 it_8_$$unsorted)) (= (io_model_3 b_I3 (not skv_39)) (io_model_3 b_I3 skv_29)) ) 111.47/112.11 ( skv_127 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I3 it_8_$$unsorted)) (= (io_model_3 b_I3 skv_44) (io_model_3 b_I3 skv_39)) ) 111.47/112.11 ( skv_128 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I3 it_8_$$unsorted)) (= (io_model_3 b_I3 skv_45) (io_model_3 b_I3 skv_39)) ) 111.47/112.11 ( skv_129 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I3 it_8_$$unsorted)) (= (io_model_3 b_I3 (not skv_39)) (io_model_3 b_I3 skv_39)) ) 111.47/112.11 ( skv_130 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I3 it_8_$$unsorted)) (= (io_model_3 b_I3 skv_45) (io_model_3 b_I3 skv_44)) ) 111.47/112.11 ( skv_131 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I3 it_8_$$unsorted)) (= (io_model_3 b_I3 (not skv_39)) (io_model_3 b_I3 skv_44)) ) 111.47/112.11 ( skv_132 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I3 it_8_$$unsorted)) (= (io_model_3 b_I3 (not skv_39)) (io_model_3 b_I3 skv_45)) ) 111.47/112.11 ( skv_133 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((Ax $$unsorted) (C $$unsorted)) (= (not (io_status_2 Ax C i_wec_19)) (io_status_2 Ax C i_thm_7)) ) 111.47/112.11 ( skv_134 skv_135 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((Ax $$unsorted) (C $$unsorted)) (= (not (io_status_2 Ax C i_thm_7)) (io_status_2 Ax C i_wec_19)) ) 111.47/112.11 ( skv_136 skv_137 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((Ax $$unsorted) (C $$unsorted)) (not (io_status_2 Ax C i_wec_19)) ) 111.47/112.11 ( skv_138 skv_139 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (io_status_2 Ax C i_thm_7)) (io_status_2 Ax C i_wec_19)) ) 111.47/112.11 ( skv_140 skv_141 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (io_status_2 Ax C i_wec_19)) (io_status_2 Ax C i_thm_7)) ) 111.47/112.11 ( skv_142 skv_143 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I2 it_8_$$unsorted)) (not (io_model_3 b_I2 (not skv_39))) ) 111.47/112.11 ( skv_144 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 (not skv_39))) (io_model_3 b_I1 skv_44)) ) 111.47/112.11 ( skv_145 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 (not skv_39))) (io_model_3 b_I1 skv_45)) ) 111.47/112.11 ( skv_146 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I2 it_8_$$unsorted)) (io_model_3 b_I2 skv_28) ) 111.47/112.11 ( skv_147 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 (not skv_39))) (io_model_3 b_I1 skv_39)) ) 111.47/112.11 ( skv_148 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_29)) (io_model_3 b_I1 skv_28)) ) 111.47/112.11 ( skv_149 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I3 it_8_$$unsorted)) (= (io_model_3 b_I3 skv_82) (io_model_3 b_I3 skv_81)) ) 111.47/112.11 ( skv_150 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I3 it_8_$$unsorted)) (or (not (io_model_3 b_I3 skv_82)) (io_model_3 b_I3 skv_81)) ) 111.47/112.11 ( skv_151 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I1 it_8_$$unsorted)) (not (io_model_3 b_I1 skv_45)) ) 111.47/112.11 ( skv_152 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_45)) (io_model_3 b_I1 skv_44)) ) 111.47/112.11 ( skv_153 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_45)) (io_model_3 b_I1 (not skv_39))) ) 111.47/112.11 ( skv_154 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_45)) (io_model_3 b_I1 skv_39)) ) 111.47/112.11 ( skv_155 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_28)) (io_model_3 b_I1 skv_29)) ) 111.47/112.11 ( skv_156 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_39)) (io_model_3 b_I1 skv_44)) ) 111.47/112.11 ( skv_157 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_39)) (io_model_3 b_I1 skv_45)) ) 111.47/112.11 ( skv_158 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_39)) (io_model_3 b_I1 (not skv_39))) ) 111.47/112.11 ( skv_159 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_44)) (io_model_3 b_I1 skv_39)) ) 111.47/112.11 ( skv_160 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_44)) (io_model_3 b_I1 skv_45)) ) 111.47/112.11 ( skv_161 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_44)) (io_model_3 b_I1 (not skv_39))) ) 111.47/112.11 ( skv_162 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I2 it_8_$$unsorted)) (or (not (io_model_3 b_I2 skv_45)) (not (io_model_3 b_I2 (not skv_44)))) ) 111.47/112.11 ( skv_163 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_45)) (not (io_model_3 b_I1 skv_44))) ) 111.47/112.11 ( skv_164 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_44)) (not (io_model_3 b_I1 skv_28))) ) 111.47/112.11 ( skv_165 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I2 it_8_$$unsorted)) (or (not (io_model_3 b_I2 skv_28)) (not (io_model_3 b_I2 (not skv_44)))) ) 111.47/112.11 ( skv_166 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I2 it_8_$$unsorted)) (or (not (io_model_3 b_I2 skv_29)) (not (io_model_3 b_I2 (not skv_44)))) ) 111.47/112.11 ( skv_167 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_45)) (not (io_model_3 b_I1 skv_29))) ) 111.47/112.11 ( skv_168 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I2 it_8_$$unsorted)) (or (not (io_model_3 b_I2 skv_29)) (not (io_model_3 b_I2 (not skv_45)))) ) 111.47/112.11 ( skv_169 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I2 it_8_$$unsorted)) (or (not (io_model_3 b_I2 skv_29)) (not (io_model_3 b_I2 (not skv_28)))) ) 111.47/112.11 ( skv_170 ) 111.47/112.11 ) 111.47/112.11 (skolem (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_29)) (not (io_model_3 b_I1 skv_28))) ) 111.47/112.11 ( skv_171 ) 111.47/112.11 ) 111.47/112.11 (instantiation (forall ((Ax $$unsorted) (C $$unsorted)) (= (io_status_2 Ax C i_unp_1) (or (not (forall ((b_I1 it_8_$$unsorted)) (not (io_model_3 b_I1 Ax)) )) (forall ((b_I2 it_8_$$unsorted)) (not (io_model_3 b_I2 C)) ))) ) 111.47/112.11 ( skv_28, skv_28 ) 111.47/112.11 ( skv_28, skv_29 ) 111.47/112.11 ( skv_28, skv_39 ) 111.47/112.11 ( skv_28, skv_44 ) 111.47/112.11 ( skv_28, skv_45 ) 111.47/112.11 ( skv_28, (not skv_39) ) 111.47/112.11 ( skv_29, skv_28 ) 111.47/112.11 ( skv_29, skv_29 ) 111.47/112.11 ( skv_29, skv_39 ) 111.47/112.11 ( skv_29, skv_44 ) 111.47/112.11 ( skv_29, skv_45 ) 111.47/112.11 ( skv_29, (not skv_39) ) 111.47/112.11 ( skv_39, skv_28 ) 111.47/112.11 ( skv_39, skv_29 ) 111.47/112.11 ( skv_39, skv_39 ) 111.47/112.11 ( skv_39, skv_44 ) 111.47/112.11 ( skv_39, skv_45 ) 111.47/112.11 ( skv_39, (not skv_39) ) 111.47/112.11 ( skv_44, skv_28 ) 111.47/112.11 ( skv_44, skv_29 ) 111.47/112.11 ( skv_44, skv_39 ) 111.47/112.11 ( skv_44, skv_44 ) 111.47/112.11 ( skv_44, skv_45 ) 111.47/112.11 ( skv_44, (not skv_39) ) 111.47/112.11 ( skv_45, skv_28 ) 111.47/112.11 ( skv_45, skv_29 ) 111.47/112.11 ( skv_45, skv_39 ) 111.47/112.11 ( skv_45, skv_44 ) 111.47/112.11 ( skv_45, skv_45 ) 111.47/112.11 ( skv_45, (not skv_39) ) 111.47/112.11 ( (not skv_39), skv_28 ) 111.47/112.11 ( (not skv_39), skv_29 ) 111.47/112.11 ( (not skv_39), skv_39 ) 111.47/112.11 ( (not skv_39), skv_44 ) 111.47/112.11 ( (not skv_39), skv_45 ) 111.47/112.11 ( (not skv_39), (not skv_39) ) 111.47/112.11 ( skv_81, skv_82 ) 111.47/112.11 ) 111.47/112.11 (instantiation (forall ((Ax $$unsorted) (C $$unsorted)) (= (io_status_2 Ax C i_wtc_4) (and (not (forall ((b_I1 it_8_$$unsorted)) (not (io_model_3 b_I1 Ax)) )) (not (forall ((b_I2 it_8_$$unsorted)) (io_model_3 b_I2 Ax) )) (forall ((b_I3 it_8_$$unsorted)) (io_model_3 b_I3 C) ))) ) 111.47/112.11 ( skv_28, skv_28 ) 111.47/112.11 ( skv_28, skv_29 ) 111.47/112.11 ( skv_28, skv_39 ) 111.47/112.11 ( skv_28, skv_44 ) 111.47/112.11 ( skv_28, skv_45 ) 111.47/112.11 ( skv_28, (not skv_39) ) 111.47/112.11 ( skv_29, skv_28 ) 111.47/112.11 ( skv_29, skv_29 ) 111.47/112.11 ( skv_29, skv_39 ) 111.47/112.11 ( skv_29, skv_44 ) 111.47/112.11 ( skv_29, skv_45 ) 111.47/112.11 ( skv_29, (not skv_39) ) 111.47/112.11 ( skv_39, skv_28 ) 111.47/112.11 ( skv_39, skv_29 ) 111.47/112.11 ( skv_39, skv_39 ) 111.47/112.11 ( skv_39, skv_44 ) 111.47/112.11 ( skv_39, skv_45 ) 111.47/112.11 ( skv_39, (not skv_39) ) 111.47/112.11 ( skv_44, skv_28 ) 111.47/112.11 ( skv_44, skv_29 ) 111.47/112.11 ( skv_44, skv_39 ) 111.47/112.11 ( skv_44, skv_44 ) 111.47/112.11 ( skv_44, skv_45 ) 111.47/112.11 ( skv_44, (not skv_39) ) 111.47/112.11 ( skv_45, skv_28 ) 111.47/112.11 ( skv_45, skv_29 ) 111.47/112.11 ( skv_45, skv_39 ) 111.47/112.11 ( skv_45, skv_44 ) 111.47/112.11 ( skv_45, skv_45 ) 111.47/112.11 ( skv_45, (not skv_39) ) 111.47/112.11 ( (not skv_39), skv_28 ) 111.47/112.11 ( (not skv_39), skv_29 ) 111.47/112.11 ( (not skv_39), skv_39 ) 111.47/112.11 ( (not skv_39), skv_44 ) 111.47/112.11 ( (not skv_39), skv_45 ) 111.47/112.11 ( (not skv_39), (not skv_39) ) 111.47/112.11 ( skv_81, skv_82 ) 111.47/112.11 ) 111.47/112.11 (instantiation (forall ((Ax $$unsorted) (C $$unsorted)) (= (io_status_2 Ax C i_sap_5) (or (forall ((b_I1 it_8_$$unsorted)) (not (io_model_3 b_I1 Ax)) ) (not (forall ((b_I2 it_8_$$unsorted)) (not (io_model_3 b_I2 C)) )))) ) 111.47/112.11 ( skv_28, skv_28 ) 111.47/112.11 ( skv_28, skv_29 ) 111.47/112.11 ( skv_28, skv_39 ) 111.47/112.11 ( skv_28, skv_44 ) 111.47/112.11 ( skv_28, skv_45 ) 111.47/112.11 ( skv_28, (not skv_39) ) 111.47/112.11 ( skv_29, skv_28 ) 111.47/112.11 ( skv_29, skv_29 ) 111.47/112.11 ( skv_29, skv_39 ) 111.47/112.11 ( skv_29, skv_44 ) 111.47/112.11 ( skv_29, skv_45 ) 111.47/112.11 ( skv_29, (not skv_39) ) 111.47/112.11 ( skv_39, skv_28 ) 111.47/112.11 ( skv_39, skv_29 ) 111.47/112.11 ( skv_39, skv_39 ) 111.47/112.11 ( skv_39, skv_44 ) 111.47/112.11 ( skv_39, skv_45 ) 111.47/112.11 ( skv_39, (not skv_39) ) 111.47/112.11 ( skv_44, skv_28 ) 111.47/112.11 ( skv_44, skv_29 ) 111.47/112.11 ( skv_44, skv_39 ) 111.47/112.11 ( skv_44, skv_44 ) 111.47/112.11 ( skv_44, skv_45 ) 111.47/112.11 ( skv_44, (not skv_39) ) 111.47/112.11 ( skv_45, skv_28 ) 111.47/112.11 ( skv_45, skv_29 ) 111.47/112.11 ( skv_45, skv_39 ) 111.47/112.11 ( skv_45, skv_44 ) 111.47/112.11 ( skv_45, skv_45 ) 111.47/112.11 ( skv_45, (not skv_39) ) 111.47/112.11 ( (not skv_39), skv_28 ) 111.47/112.11 ( (not skv_39), skv_29 ) 111.47/112.11 ( (not skv_39), skv_39 ) 111.47/112.11 ( (not skv_39), skv_44 ) 111.47/112.11 ( (not skv_39), skv_45 ) 111.47/112.11 ( (not skv_39), (not skv_39) ) 111.47/112.11 ( skv_81, skv_82 ) 111.47/112.11 ) 111.47/112.11 (instantiation (forall ((Ax $$unsorted) (C $$unsorted)) (= (= (not (forall ((b_I2 it_8_$$unsorted)) (not (io_model_3 b_I2 C)) )) (not (forall ((b_I1 it_8_$$unsorted)) (not (io_model_3 b_I1 Ax)) ))) (io_status_2 Ax C i_esa_6)) ) 111.47/112.11 ( skv_28, skv_28 ) 111.47/112.11 ( skv_28, skv_29 ) 111.47/112.11 ( skv_28, skv_39 ) 111.47/112.11 ( skv_28, skv_44 ) 111.47/112.11 ( skv_28, skv_45 ) 111.47/112.11 ( skv_28, (not skv_39) ) 111.47/112.11 ( skv_29, skv_28 ) 111.47/112.11 ( skv_29, skv_29 ) 111.47/112.11 ( skv_29, skv_39 ) 111.47/112.11 ( skv_29, skv_44 ) 111.47/112.11 ( skv_29, skv_45 ) 111.47/112.11 ( skv_29, (not skv_39) ) 111.47/112.11 ( skv_39, skv_28 ) 111.47/112.11 ( skv_39, skv_29 ) 111.47/112.11 ( skv_39, skv_39 ) 111.47/112.11 ( skv_39, skv_44 ) 111.47/112.11 ( skv_39, skv_45 ) 111.47/112.11 ( skv_39, (not skv_39) ) 111.47/112.11 ( skv_44, skv_28 ) 111.47/112.11 ( skv_44, skv_29 ) 111.47/112.11 ( skv_44, skv_39 ) 111.47/112.11 ( skv_44, skv_44 ) 111.47/112.11 ( skv_44, skv_45 ) 111.47/112.11 ( skv_44, (not skv_39) ) 111.47/112.11 ( skv_45, skv_28 ) 111.47/112.11 ( skv_45, skv_29 ) 111.47/112.11 ( skv_45, skv_39 ) 111.47/112.11 ( skv_45, skv_44 ) 111.47/112.11 ( skv_45, skv_45 ) 111.47/112.11 ( skv_45, (not skv_39) ) 111.47/112.11 ( (not skv_39), skv_28 ) 111.47/112.11 ( (not skv_39), skv_29 ) 111.47/112.11 ( (not skv_39), skv_39 ) 111.47/112.11 ( (not skv_39), skv_44 ) 111.47/112.11 ( (not skv_39), skv_45 ) 111.47/112.11 ( (not skv_39), (not skv_39) ) 111.47/112.11 ( skv_81, skv_82 ) 111.47/112.11 ) 111.47/112.11 (instantiation (forall ((Ax $$unsorted) (C $$unsorted)) (= (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 Ax)) (io_model_3 b_I1 C)) ) (io_status_2 Ax C i_thm_7)) ) 111.47/112.11 ( skv_28, skv_28 ) 111.47/112.11 ( skv_28, skv_29 ) 111.47/112.11 ( skv_28, skv_39 ) 111.47/112.11 ( skv_28, skv_44 ) 111.47/112.11 ( skv_28, skv_45 ) 111.47/112.11 ( skv_28, (not skv_39) ) 111.47/112.11 ( skv_29, skv_28 ) 111.47/112.11 ( skv_29, skv_29 ) 111.47/112.11 ( skv_29, skv_39 ) 111.47/112.11 ( skv_29, skv_44 ) 111.47/112.11 ( skv_29, skv_45 ) 111.47/112.11 ( skv_29, (not skv_39) ) 111.47/112.11 ( skv_39, skv_28 ) 111.47/112.11 ( skv_39, skv_29 ) 111.47/112.11 ( skv_39, skv_39 ) 111.47/112.11 ( skv_39, skv_44 ) 111.47/112.11 ( skv_39, skv_45 ) 111.47/112.11 ( skv_39, (not skv_39) ) 111.47/112.11 ( skv_44, skv_28 ) 111.47/112.11 ( skv_44, skv_29 ) 111.47/112.11 ( skv_44, skv_39 ) 111.47/112.11 ( skv_44, skv_44 ) 111.47/112.11 ( skv_44, skv_45 ) 111.47/112.11 ( skv_44, (not skv_39) ) 111.47/112.11 ( skv_45, skv_28 ) 111.47/112.11 ( skv_45, skv_29 ) 111.47/112.11 ( skv_45, skv_39 ) 111.47/112.11 ( skv_45, skv_44 ) 111.47/112.11 ( skv_45, skv_45 ) 111.47/112.11 ( skv_45, (not skv_39) ) 111.47/112.11 ( (not skv_39), skv_28 ) 111.47/112.11 ( (not skv_39), skv_29 ) 111.47/112.11 ( (not skv_39), skv_39 ) 111.47/112.11 ( (not skv_39), skv_44 ) 111.47/112.11 ( (not skv_39), skv_45 ) 111.47/112.11 ( (not skv_39), (not skv_39) ) 111.47/112.11 ( skv_81, skv_82 ) 111.47/112.11 ) 111.47/112.11 (instantiation (forall ((Ax $$unsorted) (C $$unsorted)) (= (and (forall ((b_I1 it_8_$$unsorted)) (not (io_model_3 b_I1 Ax)) ) (not (forall ((b_I2 it_8_$$unsorted)) (not (io_model_3 b_I2 C)) ))) (io_status_2 Ax C i_sca_8)) ) 111.47/112.11 ( skv_28, skv_28 ) 111.47/112.11 ( skv_28, skv_29 ) 111.47/112.11 ( skv_28, skv_39 ) 111.47/112.11 ( skv_28, skv_44 ) 111.47/112.11 ( skv_28, skv_45 ) 111.47/112.11 ( skv_28, (not skv_39) ) 111.47/112.11 ( skv_29, skv_28 ) 111.47/112.11 ( skv_29, skv_29 ) 111.47/112.11 ( skv_29, skv_39 ) 111.47/112.11 ( skv_29, skv_44 ) 111.47/112.11 ( skv_29, skv_45 ) 111.47/112.11 ( skv_29, (not skv_39) ) 111.47/112.11 ( skv_39, skv_28 ) 111.47/112.11 ( skv_39, skv_29 ) 111.47/112.11 ( skv_39, skv_39 ) 111.47/112.11 ( skv_39, skv_44 ) 111.47/112.11 ( skv_39, skv_45 ) 111.47/112.11 ( skv_39, (not skv_39) ) 111.47/112.11 ( skv_44, skv_28 ) 111.47/112.11 ( skv_44, skv_29 ) 111.47/112.11 ( skv_44, skv_39 ) 111.47/112.11 ( skv_44, skv_44 ) 111.47/112.11 ( skv_44, skv_45 ) 111.47/112.11 ( skv_44, (not skv_39) ) 111.47/112.11 ( skv_45, skv_28 ) 111.47/112.11 ( skv_45, skv_29 ) 111.47/112.11 ( skv_45, skv_39 ) 111.47/112.11 ( skv_45, skv_44 ) 111.47/112.11 ( skv_45, skv_45 ) 111.47/112.11 ( skv_45, (not skv_39) ) 111.47/112.11 ( (not skv_39), skv_28 ) 111.47/112.11 ( (not skv_39), skv_29 ) 111.47/112.11 ( (not skv_39), skv_39 ) 111.47/112.11 ( (not skv_39), skv_44 ) 111.47/112.11 ( (not skv_39), skv_45 ) 111.47/112.11 ( (not skv_39), (not skv_39) ) 111.47/112.11 ( skv_81, skv_82 ) 111.47/112.11 ) 111.47/112.11 (instantiation (forall ((Ax $$unsorted) (C $$unsorted)) (= (io_status_2 Ax C i_wth_9) (and (not (forall ((b_I1 it_8_$$unsorted)) (not (io_model_3 b_I1 Ax)) )) (not (forall ((b_I4 it_8_$$unsorted)) (io_model_3 b_I4 C) )) (not (forall ((b_I3 it_8_$$unsorted)) (or (not (io_model_3 b_I3 C)) (io_model_3 b_I3 Ax)) )) (forall ((b_I2 it_8_$$unsorted)) (or (not (io_model_3 b_I2 Ax)) (io_model_3 b_I2 C)) ))) ) 111.47/112.11 ( skv_28, skv_28 ) 111.47/112.11 ( skv_28, skv_29 ) 111.47/112.11 ( skv_28, skv_39 ) 111.47/112.11 ( skv_28, skv_44 ) 111.47/112.11 ( skv_28, skv_45 ) 111.47/112.11 ( skv_28, (not skv_39) ) 111.47/112.11 ( skv_29, skv_28 ) 111.47/112.11 ( skv_29, skv_29 ) 111.47/112.11 ( skv_29, skv_39 ) 111.47/112.11 ( skv_29, skv_44 ) 111.47/112.11 ( skv_29, skv_45 ) 111.47/112.11 ( skv_29, (not skv_39) ) 111.47/112.11 ( skv_39, skv_28 ) 111.47/112.11 ( skv_39, skv_29 ) 111.47/112.11 ( skv_39, skv_39 ) 111.47/112.11 ( skv_39, skv_44 ) 111.47/112.11 ( skv_39, skv_45 ) 111.47/112.11 ( skv_39, (not skv_39) ) 111.47/112.11 ( skv_44, skv_28 ) 111.47/112.11 ( skv_44, skv_29 ) 111.47/112.11 ( skv_44, skv_39 ) 111.47/112.11 ( skv_44, skv_44 ) 111.47/112.11 ( skv_44, skv_45 ) 111.47/112.11 ( skv_44, (not skv_39) ) 111.47/112.11 ( skv_45, skv_28 ) 111.47/112.11 ( skv_45, skv_29 ) 111.47/112.11 ( skv_45, skv_39 ) 111.47/112.11 ( skv_45, skv_44 ) 111.47/112.11 ( skv_45, skv_45 ) 111.47/112.11 ( skv_45, (not skv_39) ) 111.47/112.11 ( (not skv_39), skv_28 ) 111.47/112.11 ( (not skv_39), skv_29 ) 111.47/112.11 ( (not skv_39), skv_39 ) 111.47/112.11 ( (not skv_39), skv_44 ) 111.47/112.11 ( (not skv_39), skv_45 ) 111.47/112.11 ( (not skv_39), (not skv_39) ) 111.47/112.11 ( skv_81, skv_82 ) 111.47/112.11 ) 111.47/112.11 (instantiation (forall ((Ax $$unsorted) (C $$unsorted)) (= (io_status_2 Ax C i_eth_10) (and (forall ((b_I3 it_8_$$unsorted)) (= (io_model_3 b_I3 C) (io_model_3 b_I3 Ax)) ) (not (forall ((b_I2 it_8_$$unsorted)) (io_model_3 b_I2 Ax) )) (not (forall ((b_I1 it_8_$$unsorted)) (not (io_model_3 b_I1 Ax)) )))) ) 111.47/112.11 ( skv_28, skv_28 ) 111.47/112.11 ( skv_28, skv_29 ) 111.47/112.11 ( skv_28, skv_39 ) 111.47/112.11 ( skv_28, skv_44 ) 111.47/112.11 ( skv_28, skv_45 ) 111.47/112.11 ( skv_28, (not skv_39) ) 111.47/112.11 ( skv_29, skv_28 ) 111.47/112.11 ( skv_29, skv_29 ) 111.47/112.11 ( skv_29, skv_39 ) 111.47/112.11 ( skv_29, skv_44 ) 111.47/112.11 ( skv_29, skv_45 ) 111.47/112.11 ( skv_29, (not skv_39) ) 111.47/112.11 ( skv_39, skv_28 ) 111.47/112.11 ( skv_39, skv_29 ) 111.47/112.11 ( skv_39, skv_39 ) 111.47/112.11 ( skv_39, skv_44 ) 111.47/112.11 ( skv_39, skv_45 ) 111.47/112.11 ( skv_39, (not skv_39) ) 111.47/112.11 ( skv_44, skv_28 ) 111.47/112.11 ( skv_44, skv_29 ) 111.47/112.11 ( skv_44, skv_39 ) 111.47/112.11 ( skv_44, skv_44 ) 111.47/112.11 ( skv_44, skv_45 ) 111.47/112.11 ( skv_44, (not skv_39) ) 111.47/112.11 ( skv_45, skv_28 ) 111.47/112.11 ( skv_45, skv_29 ) 111.47/112.11 ( skv_45, skv_39 ) 111.47/112.11 ( skv_45, skv_44 ) 111.47/112.11 ( skv_45, skv_45 ) 111.47/112.11 ( skv_45, (not skv_39) ) 111.47/112.11 ( (not skv_39), skv_28 ) 111.47/112.11 ( (not skv_39), skv_29 ) 111.47/112.11 ( (not skv_39), skv_39 ) 111.47/112.11 ( (not skv_39), skv_44 ) 111.47/112.11 ( (not skv_39), skv_45 ) 111.47/112.11 ( (not skv_39), (not skv_39) ) 111.47/112.11 ( skv_81, skv_82 ) 111.47/112.11 ) 111.47/112.11 (instantiation (forall ((Ax $$unsorted) (C $$unsorted)) (= (not (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 Ax)) (not (io_model_3 b_I1 C))) )) (io_status_2 Ax C i_sat_11)) ) 111.47/112.11 ( skv_28, skv_28 ) 111.47/112.11 ( skv_28, skv_29 ) 111.47/112.11 ( skv_28, skv_39 ) 111.47/112.11 ( skv_28, skv_44 ) 111.47/112.11 ( skv_28, skv_45 ) 111.47/112.11 ( skv_28, (not skv_39) ) 111.47/112.11 ( skv_29, skv_28 ) 111.47/112.11 ( skv_29, skv_29 ) 111.47/112.11 ( skv_29, skv_39 ) 111.47/112.11 ( skv_29, skv_44 ) 111.47/112.11 ( skv_29, skv_45 ) 111.47/112.11 ( skv_29, (not skv_39) ) 111.47/112.11 ( skv_39, skv_28 ) 111.47/112.11 ( skv_39, skv_29 ) 111.47/112.11 ( skv_39, skv_39 ) 111.47/112.11 ( skv_39, skv_44 ) 111.47/112.11 ( skv_39, skv_45 ) 111.47/112.11 ( skv_39, (not skv_39) ) 111.47/112.11 ( skv_44, skv_28 ) 111.47/112.11 ( skv_44, skv_29 ) 111.47/112.11 ( skv_44, skv_39 ) 111.47/112.11 ( skv_44, skv_44 ) 111.47/112.11 ( skv_44, skv_45 ) 111.47/112.11 ( skv_44, (not skv_39) ) 111.47/112.11 ( skv_45, skv_28 ) 111.47/112.11 ( skv_45, skv_29 ) 111.47/112.11 ( skv_45, skv_39 ) 111.47/112.11 ( skv_45, skv_44 ) 111.47/112.11 ( skv_45, skv_45 ) 111.47/112.11 ( skv_45, (not skv_39) ) 111.47/112.11 ( (not skv_39), skv_28 ) 111.47/112.11 ( (not skv_39), skv_29 ) 111.47/112.11 ( (not skv_39), skv_39 ) 111.47/112.11 ( (not skv_39), skv_44 ) 111.47/112.11 ( (not skv_39), skv_45 ) 111.47/112.11 ( (not skv_39), (not skv_39) ) 111.47/112.11 ( skv_81, skv_82 ) 111.47/112.11 ) 111.47/112.11 (instantiation (forall ((Ax $$unsorted) (C $$unsorted)) (= (and (not (forall ((b_I3 it_8_$$unsorted)) (io_model_3 b_I3 C) )) (not (forall ((b_I2 it_8_$$unsorted)) (not (io_model_3 b_I2 C)) )) (forall ((b_I1 it_8_$$unsorted)) (not (io_model_3 b_I1 Ax)) )) (io_status_2 Ax C i_wca_12)) ) 111.47/112.11 ( skv_28, skv_28 ) 111.47/112.11 ( skv_28, skv_29 ) 111.47/112.11 ( skv_28, skv_39 ) 111.47/112.11 ( skv_28, skv_44 ) 111.47/112.11 ( skv_28, skv_45 ) 111.47/112.11 ( skv_28, (not skv_39) ) 111.47/112.11 ( skv_29, skv_28 ) 111.47/112.11 ( skv_29, skv_29 ) 111.47/112.11 ( skv_29, skv_39 ) 111.47/112.11 ( skv_29, skv_44 ) 111.47/112.11 ( skv_29, skv_45 ) 111.47/112.11 ( skv_29, (not skv_39) ) 111.47/112.11 ( skv_39, skv_28 ) 111.47/112.11 ( skv_39, skv_29 ) 111.47/112.11 ( skv_39, skv_39 ) 111.47/112.11 ( skv_39, skv_44 ) 111.47/112.11 ( skv_39, skv_45 ) 111.47/112.11 ( skv_39, (not skv_39) ) 111.47/112.11 ( skv_44, skv_28 ) 111.47/112.11 ( skv_44, skv_29 ) 111.47/112.11 ( skv_44, skv_39 ) 111.47/112.11 ( skv_44, skv_44 ) 111.47/112.11 ( skv_44, skv_45 ) 111.47/112.11 ( skv_44, (not skv_39) ) 111.47/112.11 ( skv_45, skv_28 ) 111.47/112.11 ( skv_45, skv_29 ) 111.47/112.11 ( skv_45, skv_39 ) 111.47/112.11 ( skv_45, skv_44 ) 111.47/112.11 ( skv_45, skv_45 ) 111.47/112.11 ( skv_45, (not skv_39) ) 111.47/112.11 ( (not skv_39), skv_28 ) 111.47/112.11 ( (not skv_39), skv_29 ) 111.47/112.11 ( (not skv_39), skv_39 ) 111.47/112.11 ( (not skv_39), skv_44 ) 111.47/112.11 ( (not skv_39), skv_45 ) 111.47/112.11 ( (not skv_39), (not skv_39) ) 111.47/112.11 ( skv_81, skv_82 ) 111.47/112.11 ) 111.47/112.11 (instantiation (forall ((Ax $$unsorted) (C $$unsorted)) (= (not (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 Ax)) (not (io_model_3 b_I1 (not C)))) )) (io_status_2 Ax C i_csa_13)) ) 111.47/112.11 ( skv_28, skv_28 ) 111.47/112.11 ( skv_28, skv_29 ) 111.47/112.11 ( skv_28, skv_39 ) 111.47/112.11 ( skv_28, skv_44 ) 111.47/112.11 ( skv_28, skv_45 ) 111.47/112.11 ( skv_28, (not skv_39) ) 111.47/112.11 ( skv_29, skv_28 ) 111.47/112.11 ( skv_29, skv_29 ) 111.47/112.11 ( skv_29, skv_39 ) 111.47/112.11 ( skv_29, skv_44 ) 111.47/112.11 ( skv_29, skv_45 ) 111.47/112.11 ( skv_29, (not skv_39) ) 111.47/112.11 ( skv_39, skv_28 ) 111.47/112.11 ( skv_39, skv_29 ) 111.47/112.11 ( skv_39, skv_39 ) 111.47/112.11 ( skv_39, skv_44 ) 111.47/112.11 ( skv_39, skv_45 ) 111.47/112.11 ( skv_39, (not skv_39) ) 111.47/112.11 ( skv_44, skv_28 ) 111.47/112.11 ( skv_44, skv_29 ) 111.47/112.11 ( skv_44, skv_39 ) 111.47/112.11 ( skv_44, skv_44 ) 111.47/112.11 ( skv_44, skv_45 ) 111.47/112.11 ( skv_44, (not skv_39) ) 111.47/112.11 ( skv_45, skv_28 ) 111.47/112.11 ( skv_45, skv_29 ) 111.47/112.11 ( skv_45, skv_39 ) 111.47/112.11 ( skv_45, skv_44 ) 111.47/112.11 ( skv_45, skv_45 ) 111.47/112.11 ( skv_45, (not skv_39) ) 111.47/112.11 ( (not skv_39), skv_28 ) 111.47/112.11 ( (not skv_39), skv_29 ) 111.47/112.11 ( (not skv_39), skv_39 ) 111.47/112.11 ( (not skv_39), skv_44 ) 111.47/112.11 ( (not skv_39), skv_45 ) 111.47/112.11 ( (not skv_39), (not skv_39) ) 111.47/112.11 ( skv_81, skv_82 ) 111.47/112.11 ) 111.47/112.11 (instantiation (forall ((Ax $$unsorted) (C $$unsorted)) (= (io_status_2 Ax C i_cax_14) (forall ((b_I1 it_8_$$unsorted)) (not (io_model_3 b_I1 Ax)) )) ) 111.47/112.11 ( skv_28, skv_28 ) 111.47/112.11 ( skv_28, skv_29 ) 111.47/112.11 ( skv_28, skv_39 ) 111.47/112.11 ( skv_28, skv_44 ) 111.47/112.11 ( skv_28, skv_45 ) 111.47/112.11 ( skv_28, (not skv_39) ) 111.47/112.11 ( skv_29, skv_28 ) 111.47/112.11 ( skv_29, skv_29 ) 111.47/112.11 ( skv_29, skv_39 ) 111.47/112.11 ( skv_29, skv_44 ) 111.47/112.11 ( skv_29, skv_45 ) 111.47/112.11 ( skv_29, (not skv_39) ) 111.47/112.11 ( skv_39, skv_28 ) 111.47/112.11 ( skv_39, skv_29 ) 111.47/112.11 ( skv_39, skv_39 ) 111.47/112.11 ( skv_39, skv_44 ) 111.47/112.11 ( skv_39, skv_45 ) 111.47/112.11 ( skv_39, (not skv_39) ) 111.47/112.11 ( skv_44, skv_28 ) 111.47/112.11 ( skv_44, skv_29 ) 111.47/112.11 ( skv_44, skv_39 ) 111.47/112.11 ( skv_44, skv_44 ) 111.47/112.11 ( skv_44, skv_45 ) 111.47/112.11 ( skv_44, (not skv_39) ) 111.47/112.11 ( skv_45, skv_28 ) 111.47/112.11 ( skv_45, skv_29 ) 111.47/112.11 ( skv_45, skv_39 ) 111.47/112.11 ( skv_45, skv_44 ) 111.47/112.11 ( skv_45, skv_45 ) 111.47/112.11 ( skv_45, (not skv_39) ) 111.47/112.11 ( (not skv_39), skv_28 ) 111.47/112.11 ( (not skv_39), skv_29 ) 111.47/112.11 ( (not skv_39), skv_39 ) 111.47/112.11 ( (not skv_39), skv_44 ) 111.47/112.11 ( (not skv_39), skv_45 ) 111.47/112.11 ( (not skv_39), (not skv_39) ) 111.47/112.11 ( skv_81, skv_82 ) 111.47/112.11 ) 111.47/112.11 (instantiation (forall ((Ax $$unsorted) (C $$unsorted)) (= (io_status_2 Ax C i_tca_15) (and (forall ((b_I1 it_8_$$unsorted)) (not (io_model_3 b_I1 Ax)) ) (forall ((b_I2 it_8_$$unsorted)) (io_model_3 b_I2 C) ))) ) 111.47/112.11 ( skv_28, skv_28 ) 111.47/112.11 ( skv_28, skv_29 ) 111.47/112.11 ( skv_28, skv_39 ) 111.47/112.11 ( skv_28, skv_44 ) 111.47/112.11 ( skv_28, skv_45 ) 111.47/112.11 ( skv_28, (not skv_39) ) 111.47/112.11 ( skv_29, skv_28 ) 111.47/112.11 ( skv_29, skv_29 ) 111.47/112.11 ( skv_29, skv_39 ) 111.47/112.11 ( skv_29, skv_44 ) 111.47/112.11 ( skv_29, skv_45 ) 111.47/112.11 ( skv_29, (not skv_39) ) 111.47/112.11 ( skv_39, skv_28 ) 111.47/112.11 ( skv_39, skv_29 ) 111.47/112.11 ( skv_39, skv_39 ) 111.47/112.11 ( skv_39, skv_44 ) 111.47/112.11 ( skv_39, skv_45 ) 111.47/112.11 ( skv_39, (not skv_39) ) 111.47/112.11 ( skv_44, skv_28 ) 111.47/112.11 ( skv_44, skv_29 ) 111.47/112.11 ( skv_44, skv_39 ) 111.47/112.11 ( skv_44, skv_44 ) 111.47/112.11 ( skv_44, skv_45 ) 111.47/112.11 ( skv_44, (not skv_39) ) 111.47/112.11 ( skv_45, skv_28 ) 111.47/112.11 ( skv_45, skv_29 ) 111.47/112.11 ( skv_45, skv_39 ) 111.47/112.11 ( skv_45, skv_44 ) 111.47/112.11 ( skv_45, skv_45 ) 111.47/112.11 ( skv_45, (not skv_39) ) 111.47/112.11 ( (not skv_39), skv_28 ) 111.47/112.11 ( (not skv_39), skv_29 ) 111.47/112.11 ( (not skv_39), skv_39 ) 111.47/112.11 ( (not skv_39), skv_44 ) 111.47/112.11 ( (not skv_39), skv_45 ) 111.47/112.11 ( (not skv_39), (not skv_39) ) 111.47/112.11 ( skv_81, skv_82 ) 111.47/112.11 ) 111.47/112.11 (instantiation (forall ((Ax $$unsorted) (C $$unsorted)) (= (and (forall ((b_I1 it_8_$$unsorted)) (io_model_3 b_I1 Ax) ) (forall ((b_I1 it_8_$$unsorted)) (io_model_3 b_I1 C) )) (io_status_2 Ax C i_tau_16)) ) 111.47/112.11 ( skv_28, skv_28 ) 111.47/112.11 ( skv_28, skv_29 ) 111.47/112.11 ( skv_28, skv_39 ) 111.47/112.11 ( skv_28, skv_44 ) 111.47/112.11 ( skv_28, skv_45 ) 111.47/112.11 ( skv_28, (not skv_39) ) 111.47/112.11 ( skv_29, skv_28 ) 111.47/112.11 ( skv_29, skv_29 ) 111.47/112.11 ( skv_29, skv_39 ) 111.47/112.11 ( skv_29, skv_44 ) 111.47/112.11 ( skv_29, skv_45 ) 111.47/112.11 ( skv_29, (not skv_39) ) 111.47/112.11 ( skv_39, skv_28 ) 111.47/112.11 ( skv_39, skv_29 ) 111.47/112.11 ( skv_39, skv_39 ) 111.47/112.11 ( skv_39, skv_44 ) 111.47/112.11 ( skv_39, skv_45 ) 111.47/112.11 ( skv_39, (not skv_39) ) 111.47/112.11 ( skv_44, skv_28 ) 111.47/112.11 ( skv_44, skv_29 ) 111.47/112.11 ( skv_44, skv_39 ) 111.47/112.11 ( skv_44, skv_44 ) 111.47/112.11 ( skv_44, skv_45 ) 111.47/112.11 ( skv_44, (not skv_39) ) 111.47/112.11 ( skv_45, skv_28 ) 111.47/112.11 ( skv_45, skv_29 ) 111.47/112.11 ( skv_45, skv_39 ) 111.47/112.11 ( skv_45, skv_44 ) 111.47/112.11 ( skv_45, skv_45 ) 111.47/112.11 ( skv_45, (not skv_39) ) 111.47/112.11 ( (not skv_39), skv_28 ) 111.47/112.11 ( (not skv_39), skv_29 ) 111.47/112.11 ( (not skv_39), skv_39 ) 111.47/112.11 ( (not skv_39), skv_44 ) 111.47/112.11 ( (not skv_39), skv_45 ) 111.47/112.12 ( (not skv_39), (not skv_39) ) 111.47/112.12 ( skv_81, skv_82 ) 111.47/112.12 ) 111.47/112.12 (instantiation (forall ((Ax $$unsorted) (C $$unsorted)) (= (io_status_2 Ax C i_tac_17) (and (not (forall ((b_I1 it_8_$$unsorted)) (not (io_model_3 b_I1 Ax)) )) (forall ((b_I2 it_8_$$unsorted)) (io_model_3 b_I2 C) ))) ) 111.47/112.12 ( skv_28, skv_28 ) 111.47/112.12 ( skv_28, skv_29 ) 111.47/112.12 ( skv_28, skv_39 ) 111.47/112.12 ( skv_28, skv_44 ) 111.47/112.12 ( skv_28, skv_45 ) 111.47/112.12 ( skv_28, (not skv_39) ) 111.47/112.12 ( skv_29, skv_28 ) 111.47/112.12 ( skv_29, skv_29 ) 111.47/112.12 ( skv_29, skv_39 ) 111.47/112.12 ( skv_29, skv_44 ) 111.47/112.12 ( skv_29, skv_45 ) 111.47/112.12 ( skv_29, (not skv_39) ) 111.47/112.12 ( skv_39, skv_28 ) 111.47/112.12 ( skv_39, skv_29 ) 111.47/112.12 ( skv_39, skv_39 ) 111.47/112.12 ( skv_39, skv_44 ) 111.47/112.12 ( skv_39, skv_45 ) 111.47/112.12 ( skv_39, (not skv_39) ) 111.47/112.12 ( skv_44, skv_28 ) 111.47/112.12 ( skv_44, skv_29 ) 111.47/112.12 ( skv_44, skv_39 ) 111.47/112.12 ( skv_44, skv_44 ) 111.47/112.12 ( skv_44, skv_45 ) 111.47/112.12 ( skv_44, (not skv_39) ) 111.47/112.12 ( skv_45, skv_28 ) 111.47/112.12 ( skv_45, skv_29 ) 111.47/112.12 ( skv_45, skv_39 ) 111.47/112.12 ( skv_45, skv_44 ) 111.47/112.12 ( skv_45, skv_45 ) 111.47/112.12 ( skv_45, (not skv_39) ) 111.47/112.12 ( (not skv_39), skv_28 ) 111.47/112.12 ( (not skv_39), skv_29 ) 111.47/112.12 ( (not skv_39), skv_39 ) 111.47/112.12 ( (not skv_39), skv_44 ) 111.47/112.12 ( (not skv_39), skv_45 ) 111.47/112.12 ( (not skv_39), (not skv_39) ) 111.47/112.12 ( skv_81, skv_82 ) 111.47/112.12 ) 111.47/112.12 (instantiation (forall ((Ax $$unsorted) (C $$unsorted)) (= (io_status_2 Ax C i_uns_18) (and (forall ((b_I2 it_8_$$unsorted)) (io_model_3 b_I2 (not C)) ) (forall ((b_I1 it_8_$$unsorted)) (io_model_3 b_I1 Ax) ))) ) 111.47/112.12 ( skv_28, skv_28 ) 111.47/112.12 ( skv_28, skv_29 ) 111.47/112.12 ( skv_28, skv_39 ) 111.47/112.12 ( skv_28, skv_44 ) 111.47/112.12 ( skv_28, skv_45 ) 111.47/112.12 ( skv_28, (not skv_39) ) 111.47/112.12 ( skv_29, skv_28 ) 111.47/112.12 ( skv_29, skv_29 ) 111.47/112.12 ( skv_29, skv_39 ) 111.47/112.12 ( skv_29, skv_44 ) 111.47/112.12 ( skv_29, skv_45 ) 111.47/112.12 ( skv_29, (not skv_39) ) 111.47/112.12 ( skv_39, skv_28 ) 111.47/112.12 ( skv_39, skv_29 ) 111.47/112.12 ( skv_39, skv_39 ) 111.47/112.12 ( skv_39, skv_44 ) 111.47/112.12 ( skv_39, skv_45 ) 111.47/112.12 ( skv_39, (not skv_39) ) 111.47/112.12 ( skv_44, skv_28 ) 111.47/112.12 ( skv_44, skv_29 ) 111.47/112.12 ( skv_44, skv_39 ) 111.47/112.12 ( skv_44, skv_44 ) 111.47/112.12 ( skv_44, skv_45 ) 111.47/112.12 ( skv_44, (not skv_39) ) 111.47/112.12 ( skv_45, skv_28 ) 111.47/112.12 ( skv_45, skv_29 ) 111.47/112.12 ( skv_45, skv_39 ) 111.47/112.12 ( skv_45, skv_44 ) 111.47/112.12 ( skv_45, skv_45 ) 111.47/112.12 ( skv_45, (not skv_39) ) 111.47/112.12 ( (not skv_39), skv_28 ) 111.47/112.12 ( (not skv_39), skv_29 ) 111.47/112.12 ( (not skv_39), skv_39 ) 111.47/112.12 ( (not skv_39), skv_44 ) 111.47/112.12 ( (not skv_39), skv_45 ) 111.47/112.12 ( (not skv_39), (not skv_39) ) 111.47/112.12 ( skv_81, skv_82 ) 111.47/112.12 ) 111.47/112.12 (instantiation (forall ((Ax $$unsorted) (C $$unsorted)) (= (io_status_2 Ax C i_wec_19) (and (not (forall ((b_I1 it_8_$$unsorted)) (not (io_model_3 b_I1 Ax)) )) (not (forall ((b_I3 it_8_$$unsorted)) (or (io_model_3 b_I3 Ax) (not (io_model_3 b_I3 C))) )) (forall ((b_I2 it_8_$$unsorted)) (or (not (io_model_3 b_I2 Ax)) (io_model_3 b_I2 C)) ))) ) 111.47/112.12 ( skv_28, skv_28 ) 111.47/112.12 ( skv_28, skv_29 ) 111.47/112.12 ( skv_28, skv_39 ) 111.47/112.12 ( skv_28, skv_44 ) 111.47/112.12 ( skv_28, skv_45 ) 111.47/112.12 ( skv_28, (not skv_39) ) 111.47/112.12 ( skv_29, skv_28 ) 111.47/112.12 ( skv_29, skv_29 ) 111.47/112.12 ( skv_29, skv_39 ) 111.47/112.12 ( skv_29, skv_44 ) 111.47/112.12 ( skv_29, skv_45 ) 111.47/112.12 ( skv_29, (not skv_39) ) 111.47/112.12 ( skv_39, skv_28 ) 111.47/112.12 ( skv_39, skv_29 ) 111.47/112.12 ( skv_39, skv_39 ) 111.47/112.12 ( skv_39, skv_44 ) 111.47/112.12 ( skv_39, skv_45 ) 111.47/112.12 ( skv_39, (not skv_39) ) 111.47/112.12 ( skv_44, skv_28 ) 111.47/112.12 ( skv_44, skv_29 ) 111.47/112.12 ( skv_44, skv_39 ) 111.47/112.12 ( skv_44, skv_44 ) 111.47/112.12 ( skv_44, skv_45 ) 111.47/112.12 ( skv_44, (not skv_39) ) 111.47/112.12 ( skv_45, skv_28 ) 111.47/112.12 ( skv_45, skv_29 ) 111.47/112.12 ( skv_45, skv_39 ) 111.47/112.12 ( skv_45, skv_44 ) 111.47/112.12 ( skv_45, skv_45 ) 111.47/112.12 ( skv_45, (not skv_39) ) 111.47/112.12 ( (not skv_39), skv_28 ) 111.47/112.12 ( (not skv_39), skv_29 ) 111.47/112.12 ( (not skv_39), skv_39 ) 111.47/112.12 ( (not skv_39), skv_44 ) 111.47/112.12 ( (not skv_39), skv_45 ) 111.47/112.12 ( (not skv_39), (not skv_39) ) 111.47/112.12 ( skv_81, skv_82 ) 111.47/112.12 ) 111.47/112.12 (instantiation (forall ((Ax $$unsorted) (C $$unsorted)) (= (and (not (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 C)) (not (io_model_3 b_I1 Ax))) )) (not (forall ((b_I2 it_8_$$unsorted)) (or (not (io_model_3 b_I2 Ax)) (not (io_model_3 b_I2 (not C)))) ))) (io_status_2 Ax C i_noc_20)) ) 111.47/112.12 ( skv_28, skv_28 ) 111.47/112.12 ( skv_28, skv_29 ) 111.47/112.12 ( skv_28, skv_39 ) 111.47/112.12 ( skv_28, skv_44 ) 111.47/112.12 ( skv_28, skv_45 ) 111.47/112.12 ( skv_28, (not skv_39) ) 111.47/112.12 ( skv_29, skv_28 ) 111.47/112.12 ( skv_29, skv_29 ) 111.47/112.12 ( skv_29, skv_39 ) 111.47/112.12 ( skv_29, skv_44 ) 111.47/112.12 ( skv_29, skv_45 ) 111.47/112.12 ( skv_29, (not skv_39) ) 111.47/112.12 ( skv_39, skv_28 ) 111.47/112.12 ( skv_39, skv_29 ) 111.47/112.12 ( skv_39, skv_39 ) 111.47/112.12 ( skv_39, skv_44 ) 111.47/112.12 ( skv_39, skv_45 ) 111.47/112.12 ( skv_39, (not skv_39) ) 111.47/112.12 ( skv_44, skv_28 ) 111.47/112.12 ( skv_44, skv_29 ) 111.47/112.12 ( skv_44, skv_39 ) 111.47/112.12 ( skv_44, skv_44 ) 111.47/112.12 ( skv_44, skv_45 ) 111.47/112.12 ( skv_44, (not skv_39) ) 111.47/112.12 ( skv_45, skv_28 ) 111.47/112.12 ( skv_45, skv_29 ) 111.47/112.12 ( skv_45, skv_39 ) 111.47/112.12 ( skv_45, skv_44 ) 111.47/112.12 ( skv_45, skv_45 ) 111.47/112.12 ( skv_45, (not skv_39) ) 111.47/112.12 ( (not skv_39), skv_28 ) 111.47/112.12 ( (not skv_39), skv_29 ) 111.47/112.12 ( (not skv_39), skv_39 ) 111.47/112.12 ( (not skv_39), skv_44 ) 111.47/112.12 ( (not skv_39), skv_45 ) 111.47/112.12 ( (not skv_39), (not skv_39) ) 111.47/112.12 ( skv_81, skv_82 ) 111.47/112.12 ) 111.47/112.12 (instantiation (forall ((Ax $$unsorted) (C $$unsorted)) (= (io_status_2 Ax C i_eqv_21) (and (forall ((b_I2 it_8_$$unsorted)) (= (io_model_3 b_I2 Ax) (io_model_3 b_I2 C)) ) (not (forall ((b_I1 it_8_$$unsorted)) (not (io_model_3 b_I1 Ax)) )))) ) 111.47/112.12 ( skv_28, skv_28 ) 111.47/112.12 ( skv_28, skv_29 ) 111.47/112.12 ( skv_28, skv_39 ) 111.47/112.12 ( skv_28, skv_44 ) 111.47/112.12 ( skv_28, skv_45 ) 111.47/112.12 ( skv_28, (not skv_39) ) 111.47/112.12 ( skv_29, skv_28 ) 111.47/112.12 ( skv_29, skv_29 ) 111.47/112.12 ( skv_29, skv_39 ) 111.47/112.12 ( skv_29, skv_44 ) 111.47/112.12 ( skv_29, skv_45 ) 111.47/112.12 ( skv_29, (not skv_39) ) 111.47/112.12 ( skv_39, skv_28 ) 111.47/112.12 ( skv_39, skv_29 ) 111.47/112.12 ( skv_39, skv_39 ) 111.47/112.12 ( skv_39, skv_44 ) 111.47/112.12 ( skv_39, skv_45 ) 111.47/112.12 ( skv_39, (not skv_39) ) 111.47/112.12 ( skv_44, skv_28 ) 111.47/112.12 ( skv_44, skv_29 ) 111.47/112.12 ( skv_44, skv_39 ) 111.47/112.12 ( skv_44, skv_44 ) 111.47/112.12 ( skv_44, skv_45 ) 111.47/112.12 ( skv_44, (not skv_39) ) 111.47/112.12 ( skv_45, skv_28 ) 111.47/112.12 ( skv_45, skv_29 ) 111.47/112.12 ( skv_45, skv_39 ) 111.47/112.12 ( skv_45, skv_44 ) 111.47/112.12 ( skv_45, skv_45 ) 111.47/112.12 ( skv_45, (not skv_39) ) 111.47/112.12 ( (not skv_39), skv_28 ) 111.47/112.12 ( (not skv_39), skv_29 ) 111.47/112.12 ( (not skv_39), skv_39 ) 111.47/112.12 ( (not skv_39), skv_44 ) 111.47/112.12 ( (not skv_39), skv_45 ) 111.47/112.12 ( (not skv_39), (not skv_39) ) 111.47/112.12 ( skv_81, skv_82 ) 111.47/112.12 ) 111.47/112.12 (instantiation (forall ((b_S1 it_7_$$unsorted) (b_S2 it_7_$$unsorted)) (= (forall ((Ax $$unsorted) (C $$unsorted)) (= (not (io_status_2 Ax C b_S2)) (io_status_2 Ax C b_S1)) ) (io_xora_22 b_S1 b_S2)) ) 111.47/112.12 ( i_thm_7, i_thm_7 ) 111.47/112.12 ( i_thm_7, i_wec_19 ) 111.47/112.12 ( i_wec_19, i_thm_7 ) 111.47/112.12 ( i_wec_19, i_wec_19 ) 111.47/112.12 ) 111.47/112.12 (instantiation (forall ((b_S1 it_7_$$unsorted) (b_S2 it_7_$$unsorted)) (= (io_nevera_23 b_S1 b_S2) (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (io_status_2 Ax C b_S1)) (not (io_status_2 Ax C b_S2))) )) ) 111.47/112.12 ( i_thm_7, i_thm_7 ) 111.47/112.12 ( i_thm_7, i_wec_19 ) 111.47/112.12 ( i_wec_19, i_thm_7 ) 111.47/112.12 ( i_wec_19, i_wec_19 ) 111.47/112.12 ) 111.47/112.12 (instantiation (forall ((b_S1 it_7_$$unsorted) (b_S2 it_7_$$unsorted)) (= (io_isa_24 b_S1 b_S2) (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (io_status_2 Ax C b_S1)) (io_status_2 Ax C b_S2)) )) ) 111.47/112.12 ( i_thm_7, i_thm_7 ) 111.47/112.12 ( i_thm_7, i_wec_19 ) 111.47/112.12 ( i_wec_19, i_thm_7 ) 111.47/112.12 ( i_wec_19, i_wec_19 ) 111.47/112.12 ) 111.47/112.12 (instantiation (forall ((b_S1 it_7_$$unsorted) (b_S2 it_7_$$unsorted)) (= (io_nota_25 b_S1 b_S2) (not (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (io_status_2 Ax C b_S1)) (io_status_2 Ax C b_S2)) ))) ) 111.47/112.12 ( i_thm_7, i_thm_7 ) 111.47/112.12 ( i_thm_7, i_wec_19 ) 111.47/112.12 ( i_wec_19, i_thm_7 ) 111.47/112.12 ( i_wec_19, i_wec_19 ) 111.47/112.12 ) 111.47/112.12 (instantiation (forall ((b_S1 it_7_$$unsorted) (b_S2 it_7_$$unsorted)) (= (not (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (io_status_2 Ax C b_S1)) (not (io_status_2 Ax C b_S2))) )) (io_mighta_26 b_S1 b_S2)) ) 111.47/112.12 ( i_thm_7, i_thm_7 ) 111.47/112.12 ( i_thm_7, i_wec_19 ) 111.47/112.12 ( i_wec_19, i_thm_7 ) 111.47/112.12 ( i_wec_19, i_wec_19 ) 111.47/112.12 ) 111.47/112.12 (instantiation (forall ((b_I it_8_$$unsorted) (F $$unsorted)) (= (not (io_model_3 b_I (not F))) (io_model_3 b_I F)) ) 111.47/112.12 ( skv_27, skv_28 ) 111.47/112.12 ( skv_27, skv_29 ) 111.47/112.12 ( skv_27, skv_39 ) 111.47/112.12 ( skv_27, skv_40 ) 111.47/112.12 ( skv_27, skv_44 ) 111.47/112.12 ( skv_27, skv_45 ) 111.47/112.12 ( skv_27, (not skv_39) ) 111.47/112.12 ( skv_30, skv_29 ) 111.47/112.12 ( skv_30, skv_39 ) 111.47/112.12 ( skv_30, skv_40 ) 111.47/112.12 ( skv_30, skv_44 ) 111.47/112.12 ( skv_30, skv_45 ) 111.47/112.12 ( skv_32, skv_31 ) 111.47/112.12 ( skv_32, skv_39 ) 111.47/112.12 ( skv_38, skv_34 ) 111.47/112.12 ( skv_41, skv_39 ) 111.47/112.12 ( skv_41, skv_40 ) 111.47/112.12 ( skv_41, skv_44 ) 111.47/112.12 ( skv_41, (not skv_39) ) 111.47/112.12 ( skv_42, skv_40 ) 111.47/112.12 ( skv_43, skv_39 ) 111.47/112.12 ) 111.47/112.12 (instantiation (forall ((b_I it_8_$$unsorted) (F $$unsorted)) (= (not (io_model_3 b_I F)) (io_model_3 b_I (not F))) ) 111.47/112.12 ( skv_27, skv_28 ) 111.47/112.12 ( skv_27, skv_29 ) 111.47/112.12 ( skv_27, skv_44 ) 111.47/112.12 ( skv_27, (not skv_39) ) 111.47/112.12 ( skv_30, skv_45 ) 111.47/112.12 ( skv_41, skv_44 ) 111.47/112.12 ) 111.47/112.12 (instantiation (forall ((b_I2 it_8_$$unsorted)) (or (not (io_model_3 b_I2 skv_39)) (io_model_3 b_I2 skv_40)) ) 111.47/112.12 ( skv_27 ) 111.47/112.12 ( skv_30 ) 111.47/112.12 ( skv_32 ) 111.47/112.12 ) 111.47/112.12 (instantiation (forall ((b_I it_8_$$unsorted)) (not (io_model_3 b_I skv_44)) ) 111.47/112.12 ( skv_27 ) 111.47/112.12 ( skv_30 ) 111.47/112.12 ( skv_32 ) 111.47/112.12 ( skv_42 ) 111.47/112.12 ( skv_43 ) 111.47/112.12 ( skv_98 ) 111.47/112.12 ( skv_131 ) 111.47/112.12 ( skv_132 ) 111.47/112.12 ) 111.47/112.12 (instantiation (forall ((b_I it_8_$$unsorted)) (io_model_3 b_I skv_45) ) 111.47/112.12 ( skv_27 ) 111.47/112.12 ( skv_30 ) 111.47/112.12 ( skv_32 ) 111.47/112.12 ( skv_36 ) 111.47/112.12 ( skv_41 ) 111.47/112.12 ( skv_42 ) 111.47/112.12 ( skv_43 ) 111.47/112.12 ( skv_80 ) 111.47/112.12 ( skv_106 ) 111.47/112.12 ( skv_113 ) 111.47/112.12 ( skv_114 ) 111.47/112.12 ( skv_122 ) 111.47/112.12 ( skv_126 ) 111.47/112.12 ( skv_129 ) 111.47/112.12 ) 111.47/112.12 (instantiation (forall ((Ax $$unsorted) (C $$unsorted)) (or (not (io_status_2 Ax C i_wec_19)) (not (io_status_2 Ax C i_thm_7))) ) 111.47/112.12 ( skv_28, skv_45 ) 111.47/112.12 ( skv_29, skv_28 ) 111.47/112.12 ( skv_29, skv_29 ) 111.47/112.12 ( skv_29, skv_45 ) 111.47/112.12 ( skv_81, skv_82 ) 111.47/112.12 ( skv_134, skv_135 ) 111.47/112.12 ( skv_136, skv_137 ) 111.47/112.12 ) 111.47/112.12 (instantiation (forall ((b_I1 it_8_$$unsorted)) (not (io_model_3 b_I1 skv_29)) ) 111.47/112.12 ( skv_30 ) 111.47/112.12 ) 111.47/112.12 (instantiation (forall ((b_I2 it_8_$$unsorted)) (io_model_3 b_I2 skv_29) ) 111.47/112.12 ( skv_27 ) 111.47/112.12 ) 111.47/112.12 (instantiation (forall ((b_I2 it_8_$$unsorted)) (or (not (io_model_3 b_I2 skv_29)) (not (io_model_3 b_I2 (not skv_44)))) ) 111.47/112.12 ( skv_30 ) 111.47/112.12 ) 111.47/112.12 (instantiation (forall ((b_I1 it_8_$$unsorted)) (or (not (io_model_3 b_I1 skv_45)) (io_model_3 b_I1 skv_29)) ) 111.47/112.12 ( skv_27 ) 111.47/112.12 ) 111.47/112.12 % SZS output end Proof for theBenchmark 111.47/112.13 EOF