0.11/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.14	% Command    : do_cvc5 %s %d
0.12/0.35	% Computer   : n021.cluster.edu
0.12/0.35	% Model      : x86_64 x86_64
0.12/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.35	% Memory     : 8042.1875MB
0.12/0.35	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.35	% CPULimit   : 1200
0.12/0.35	% WCLimit    : 120
0.12/0.35	% DateTime   : Tue Jul 13 10:26:11 EDT 2021
0.12/0.35	% CPUTime    : 
0.18/0.51	%----THF division
0.18/0.51	------- cvc5-thf casc 28 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 120...
0.18/0.51	--- Run --ho-elim --full-saturate-quant at 10...
2.67/2.99	% SZS status Theorem for theBenchmark
2.67/3.00	% SZS output start Proof for theBenchmark
2.67/3.00	(proof
2.67/3.00	(let ((_let_1 (forall ((Xx nat) (Xy nat)) (=> ((moreis Xx) Xy) ((lessis Xy) Xx))))) (let ((_let_2 ((moreis x) y))) (let ((_let_3 (some (lambda ((Xu nat)) (((diffprop y) z) Xu))))) (let ((_let_4 (not (some (lambda ((Xu nat)) (((diffprop x) z) Xu)))))) (let ((_let_5 (forall ((Xx nat) (Xy nat) (Xz nat)) (=> (some (lambda ((Xv nat)) (((diffprop Xy) Xx) Xv))) (=> ((lessis Xy) Xz) (some (lambda ((Xv nat)) (((diffprop Xz) Xx) Xv)))))))) (let ((_let_6 (ho_7 (ho_6 k_5 y) z))) (let ((_let_7 (= _let_6 gt_18))) (let ((_let_8 (ho_8 gt_18 skv_204))) (let ((_let_9 (ho_8 _let_6 skv_204))) (let ((_let_10 (SYMM (THEORY_LEMMA |:args| ((= gt_18 _let_6) 12))))) (let ((_let_11 (ho_8 k_9 skv_204))) (let ((_let_12 (= _let_11 _let_8))) (let ((_let_13 (forall ((z nat)) (= (ho_8 k_9 z) (ho_8 gt_18 z))))) (let ((_let_14 (not _let_12))) (let ((_let_15 (= k_9 gt_18))) (let ((_let_16 (not _let_13))) (let ((_let_17 (or _let_16 _let_15))) (let ((_let_18 (forall ((x |u_(-> nat Bool)|) (y |u_(-> nat Bool)|)) (or (not (forall ((z nat)) (= (ho_8 x z) (ho_8 y z)))) (= x y))))) (let ((_let_19 (forall ((u |u_(-> nat Bool)|) (e Bool) (i nat)) (not (forall ((v |u_(-> nat Bool)|)) (not (forall ((ii nat)) (= (ho_8 v ii) (ite (= i ii) e (ho_8 u ii)))))))))) (let ((_let_20 (forall ((u |u_(-> nat nat Bool)|) (e |u_(-> nat Bool)|) (i nat)) (not (forall ((v |u_(-> nat nat Bool)|)) (not (forall ((ii nat)) (= (ho_7 v ii) (ite (= i ii) e (ho_7 u ii)))))))))) (let ((_let_21 (forall ((x |u_(-> nat nat Bool)|) (y |u_(-> nat nat Bool)|)) (or (not (forall ((z nat)) (= (ho_7 x z) (ho_7 y z)))) (= x y))))) (let ((_let_22 (forall ((u |u_(-> nat nat nat Bool)|) (e |u_(-> nat nat Bool)|) (i nat)) (not (forall ((v |u_(-> nat nat nat Bool)|)) (not (forall ((ii nat)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii)))))))))) (let ((_let_23 (forall ((x |u_(-> nat nat nat Bool)|) (y |u_(-> nat nat nat Bool)|)) (or (not (forall ((z nat)) (= (ho_6 x z) (ho_6 y z)))) (= x y))))) (let ((_let_24 (forall ((u |u_(-> _u_(-> nat Bool)_ Bool)|) (e Bool) (i |u_(-> nat Bool)|)) (not (forall ((v |u_(-> _u_(-> nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> nat Bool)|)) (= (ho_14 v ii) (ite (= i ii) e (ho_14 u ii)))))))))) (let ((_let_25 (forall ((x |u_(-> _u_(-> nat Bool)_ Bool)|) (y |u_(-> _u_(-> nat Bool)_ Bool)|)) (or (not (forall ((z |u_(-> nat Bool)|)) (= (ho_14 x z) (ho_14 y z)))) (= x y))))) (let ((_let_26 (forall ((BOUND_VARIABLE_424 nat)) (= (ho_8 k_9 BOUND_VARIABLE_424) (ho_8 (ho_7 (ho_6 k_5 y) z) BOUND_VARIABLE_424))))) (let ((_let_27 (forall ((BOUND_VARIABLE_418 nat)) (= (ho_8 k_10 BOUND_VARIABLE_418) (ho_8 (ho_7 (ho_6 k_5 x) z) BOUND_VARIABLE_418))))) (let ((_let_28 (forall ((BOUND_VARIABLE_408 nat) (BOUND_VARIABLE_409 nat) (BOUND_VARIABLE_410 nat)) (= (ho_8 (ho_7 (ho_6 k_11 BOUND_VARIABLE_408) BOUND_VARIABLE_409) BOUND_VARIABLE_410) (ho_8 (ho_7 (ho_6 k_5 BOUND_VARIABLE_408) BOUND_VARIABLE_409) BOUND_VARIABLE_410))))) (let ((_let_29 (forall ((BOUND_VARIABLE_398 nat) (BOUND_VARIABLE_399 nat) (BOUND_VARIABLE_400 nat)) (= (ho_8 (ho_7 (ho_6 k_12 BOUND_VARIABLE_398) BOUND_VARIABLE_399) BOUND_VARIABLE_400) (ho_8 (ho_7 (ho_6 k_5 BOUND_VARIABLE_398) BOUND_VARIABLE_399) BOUND_VARIABLE_400))))) (let ((_let_30 (forall ((Xx nat) (Xy nat) (Xz nat)) (or (not (ho_14 k_13 (ho_7 (ho_6 k_11 Xy) Xx))) (not (ho_8 (ho_7 k_15 Xy) Xz)) (ho_14 k_13 (ho_7 (ho_6 k_12 Xz) Xx)))))) (let ((_let_31 (forall ((BOUND_VARIABLE_424 nat)) (= (ll_4 BOUND_VARIABLE_424) (((diffprop y) z) BOUND_VARIABLE_424))))) (let ((_let_32 (forall ((BOUND_VARIABLE_418 nat)) (= (ll_3 BOUND_VARIABLE_418) (((diffprop x) z) BOUND_VARIABLE_418))))) (let ((_let_33 (forall ((BOUND_VARIABLE_408 nat) (BOUND_VARIABLE_409 nat) (BOUND_VARIABLE_410 nat)) (= (ll_2 BOUND_VARIABLE_408 BOUND_VARIABLE_409 BOUND_VARIABLE_410) (((diffprop BOUND_VARIABLE_408) BOUND_VARIABLE_409) BOUND_VARIABLE_410))))) (let ((_let_34 (forall ((BOUND_VARIABLE_398 nat) (BOUND_VARIABLE_399 nat) (BOUND_VARIABLE_400 nat)) (= (ll_1 BOUND_VARIABLE_398 BOUND_VARIABLE_399 BOUND_VARIABLE_400) (((diffprop BOUND_VARIABLE_398) BOUND_VARIABLE_399) BOUND_VARIABLE_400))))) (let ((_let_35 (forall ((Xx nat) (Xy nat) (Xz nat)) (or (not (some ((ll_2 Xy) Xx))) (not ((lessis Xy) Xz)) (some ((ll_1 Xz) Xx)))))) (let ((_let_36 (and _let_35 _let_34 _let_33 _let_32 _let_31))) (let ((_let_37 (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME |:args| (_let_5)) (TRANS (MACRO_SR_EQ_INTRO |:args| (_let_5 7 12)) (PREPROCESS |:args| ((= (forall ((Xx nat) (Xy nat) (Xz nat)) (or (not (some (lambda ((Xv nat)) (((diffprop Xy) Xx) Xv)))) (not ((lessis Xy) Xz)) (some (lambda ((Xv nat)) (((diffprop Xz) Xx) Xv))))) _let_35))))) (PREPROCESS |:args| ((and _let_34 _let_33 _let_32 _let_31)))) |:args| (_let_36)) (PREPROCESS |:args| ((= _let_36 (and _let_30 _let_29 _let_28 _let_27 _let_26))))) (PREPROCESS |:args| ((and _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_18 _let_19)))) |:args| ((and _let_30 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_18 _let_19))))) (let ((_let_38 (AND_ELIM _let_37 |:args| (11)))) (let ((_let_39 (_let_18))) (let ((_let_40 (ASSUME |:args| _let_39))) (let ((_let_41 (ho_7 (ho_6 k_11 y) z))) (let ((_let_42 (ho_8 _let_41 skv_480))) (let ((_let_43 (ho_8 k_9 skv_480))) (let ((_let_44 (= _let_43 _let_42))) (let ((_let_45 (not _let_15))) (let ((_let_46 (forall ((z nat)) (= (ho_8 k_9 z) (ho_8 (ho_7 (ho_6 k_11 y) z) z))))) (let ((_let_47 (not _let_44))) (let ((_let_48 (= k_9 _let_41))) (let ((_let_49 (not _let_46))) (let ((_let_50 (or _let_49 _let_48))) (let ((_let_51 (ho_14 k_13 k_9))) (let ((_let_52 (ite _let_48 _let_51 (ho_14 skv_47 _let_41)))) (let ((_let_53 (not _let_48))) (let ((_let_54 (ho_14 skv_200 _let_41))) (let ((_let_55 (= _let_54 _let_52))) (let ((_let_56 (not _let_52))) (let ((_let_57 (forall ((ii |u_(-> nat Bool)|)) (= (ho_14 skv_200 ii) (ite (= k_9 ii) (ho_14 k_13 k_9) (ho_14 skv_47 ii)))))) (let ((_let_58 (forall ((v |u_(-> _u_(-> nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> nat Bool)|)) (= (ho_14 v ii) (ite (= k_9 ii) (ho_14 k_13 k_9) (ho_14 skv_47 ii)))))))) (let ((_let_59 (not _let_58))) (let ((_let_60 (AND_ELIM _let_37 |:args| (6)))) (let ((_let_61 (_let_24))) (let ((_let_62 (ASSUME |:args| _let_61))) (let ((_let_63 (20))) (let ((_let_64 (_let_57))) (let ((_let_65 (_let_59))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME |:args| _let_65)) |:args| _let_65) (REWRITE |:args| ((=> _let_59 (not (not _let_57))))))) (CONG (MACRO_SR_PRED_INTRO |:args| ((= (not _let_59) _let_58))) (REFL |:args| _let_64) |:args| _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 |:args| (skv_47 _let_51 k_9)) |:args| _let_61)) _let_60 |:args| (_let_59 false _let_24)) |:args| (_let_57 true _let_58)))) (let ((_let_67 (_let_41))) (let ((_let_68 (ASSUME |:args| _let_64))) (let ((_let_69 (= k_13 skv_200))) (let ((_let_70 (ho_14 k_13 _let_41))) (let ((_let_71 (not _let_54))) (let ((_let_72 (forall ((z |u_(-> nat Bool)|)) (= (ho_14 k_13 z) (ho_14 skv_200 z))))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_69))) (let ((_let_75 (AND_ELIM _let_37 |:args| (5)))) (let ((_let_76 (_let_25))) (let ((_let_77 (ASSUME |:args| _let_76))) (let ((_let_78 (ho_14 skv_200 skv_594))) (let ((_let_79 (ho_14 k_13 skv_594))) (let ((_let_80 (= _let_79 _let_78))) (let ((_let_81 (ho_14 k_13 k_10))) (let ((_let_82 (= k_9 skv_594))) (let ((_let_83 (ite _let_82 _let_81 _let_79))) (let ((_let_84 (ho_14 skv_47 skv_594))) (let ((_let_85 (ite _let_82 _let_51 _let_84))) (let ((_let_86 (= _let_78 _let_85))) (let ((_let_87 (= _let_84 _let_83))) (let ((_let_88 (ite _let_82 _let_51 _let_79))) (let ((_let_89 (ho_14 skv_88 skv_594))) (let ((_let_90 (= _let_89 _let_88))) (let ((_let_91 (= k_13 skv_88))) (let ((_let_92 (not _let_79))) (let ((_let_93 (_let_80))) (let ((_let_94 (skv_594))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 |:args| _let_94) |:args| _let_64)) _let_66 |:args| (_let_86 false _let_57)))) (let ((_let_96 (not _let_86))) (let ((_let_97 (not _let_85))) (let ((_let_98 (_let_86))) (let ((_let_99 (some ll_4))) (let ((_let_100 (EQ_RESOLVE (ASSUME |:args| (_let_3)) (TRANS (PREPROCESS |:args| ((= _let_3 _let_99))) (PREPROCESS |:args| ((= _let_99 _let_51))))))) (let ((_let_101 (not _let_84))) (let ((_let_102 (not _let_51))) (let ((_let_103 (_let_85))) (let ((_let_104 (not _let_82))) (let ((_let_105 (forall ((ii |u_(-> nat Bool)|)) (= (ho_14 skv_47 ii) (ite (= k_9 ii) (ho_14 k_13 k_10) (ho_14 k_13 ii)))))) (let ((_let_106 (forall ((v |u_(-> _u_(-> nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> nat Bool)|)) (= (ho_14 v ii) (ite (= k_9 ii) (ho_14 k_13 k_10) (ho_14 k_13 ii)))))))) (let ((_let_107 (not _let_106))) (let ((_let_108 (_let_105))) (let ((_let_109 (_let_107))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME |:args| _let_108) |:args| _let_94) |:args| _let_108)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME |:args| _let_109)) |:args| _let_109) (REWRITE |:args| ((=> _let_107 (not (not _let_105))))))) (CONG (MACRO_SR_PRED_INTRO |:args| ((= (not _let_107) _let_106))) (REFL |:args| _let_108) |:args| _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 |:args| (k_13 _let_81 k_9)) |:args| _let_61)) _let_60 |:args| (_let_107 false _let_24)) |:args| (_let_105 true _let_106)) |:args| (_let_87 false _let_105)))) (let ((_let_111 (not _let_87))) (let ((_let_112 (not _let_83))) (let ((_let_113 (_let_87))) (let ((_let_114 (_let_83))) (let ((_let_115 (not _let_81))) (let ((_let_116 (not (some ll_3)))) (let ((_let_117 (EQ_RESOLVE (ASSUME |:args| (_let_4)) (TRANS (PREPROCESS |:args| ((= _let_4 _let_116))) (PREPROCESS |:args| ((= _let_116 _let_115))))))) (let ((_let_118 (forall ((ii |u_(-> nat Bool)|)) (= (ho_14 skv_88 ii) (ite (= k_9 ii) (ho_14 k_13 k_9) (ho_14 k_13 ii)))))) (let ((_let_119 (forall ((v |u_(-> _u_(-> nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> nat Bool)|)) (= (ho_14 v ii) (ite (= k_9 ii) (ho_14 k_13 k_9) (ho_14 k_13 ii)))))))) (let ((_let_120 (not _let_119))) (let ((_let_121 (_let_118))) (let ((_let_122 (_let_120))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME |:args| _let_122)) |:args| _let_122) (REWRITE |:args| ((=> _let_120 (not (not _let_118))))))) (CONG (MACRO_SR_PRED_INTRO |:args| ((= (not _let_120) _let_119))) (REFL |:args| _let_121) |:args| _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 |:args| (k_13 _let_51 k_9)) |:args| _let_61)) _let_60 |:args| (_let_120 false _let_24)) |:args| (_let_118 true _let_119)))) (let ((_let_124 (ASSUME |:args| _let_121))) (let ((_let_125 (forall ((z |u_(-> nat Bool)|)) (= (ho_14 k_13 z) (ho_14 skv_88 z))))) (let ((_let_126 (not _let_125))) (let ((_let_127 (or _let_126 _let_91))) (let ((_let_128 (ho_14 skv_88 skv_239))) (let ((_let_129 (ho_14 k_13 skv_239))) (let ((_let_130 (= _let_129 _let_128))) (let ((_let_131 (= k_9 skv_239))) (let ((_let_132 (ite _let_131 _let_51 _let_129))) (let ((_let_133 (= _let_128 _let_132))) (let ((_let_134 (not _let_129))) (let ((_let_135 (_let_130))) (let ((_let_136 (_let_132))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 |:args| (skv_239)) |:args| _let_121)) _let_123 |:args| (_let_133 false _let_118)))) (let ((_let_138 (not _let_133))) (let ((_let_139 (not _let_132))) (let ((_let_140 (_let_133))) (let ((_let_141 (not _let_131))) (let ((_let_142 (23 ho_14))) (let ((_let_143 (REFL |:args| (k_13)))) (let ((_let_144 (_let_126))) (let ((_let_145 (not _let_89))) (let ((_let_146 (not _let_91))) (let ((_let_147 (and _let_92 _let_91))) (let ((_let_148 (_let_73))) (let ((_let_149 (ho_7 (ho_6 k_12 x) z))) (let ((_let_150 (ho_14 k_13 _let_149))) (let ((_let_151 (ho_8 (ho_7 k_15 y) x))) (let ((_let_152 (not _let_151))) (let ((_let_153 (not _let_70))) (let ((_let_154 (or _let_153 _let_152 _let_150))) (let ((_let_155 (_let_30))) (let ((_let_156 (= k_13 skv_19))) (let ((_let_157 (ho_14 skv_19 _let_149))) (let ((_let_158 (not _let_150))) (let ((_let_159 (forall ((z |u_(-> nat Bool)|)) (= (ho_14 k_13 z) (ho_14 skv_19 z))))) (let ((_let_160 (not _let_159))) (let ((_let_161 (or _let_160 _let_156))) (let ((_let_162 (ho_14 skv_19 skv_34))) (let ((_let_163 (ho_14 k_13 skv_34))) (let ((_let_164 (= _let_163 _let_162))) (let ((_let_165 (= k_10 skv_34))) (let ((_let_166 (not _let_165))) (let ((_let_167 (and _let_166 _let_163))) (let ((_let_168 (= _let_162 _let_167))) (let ((_let_169 (not _let_163))) (let ((_let_170 (_let_164))) (let ((_let_171 (forall ((ii |u_(-> nat Bool)|)) (= (ho_14 skv_19 ii) (and (not (= k_10 ii)) (ho_14 k_13 ii)))))) (let ((_let_172 (forall ((v |u_(-> _u_(-> nat Bool)_ Bool)|)) (not (forall ((ii |u_(-> nat Bool)|)) (= (ho_14 v ii) (and (not (= k_10 ii)) (ho_14 k_13 ii)))))))) (let ((_let_173 (not _let_172))) (let ((_let_174 (_let_171))) (let ((_let_175 (_let_173))) (let ((_let_176 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME |:args| _let_175)) |:args| _let_175) (REWRITE |:args| ((=> _let_173 (not (not _let_171))))))) (CONG (MACRO_SR_PRED_INTRO |:args| ((= (not _let_173) _let_172))) (REFL |:args| _let_174) |:args| _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_62 |:args| (k_13 false k_10)) |:args| _let_61))) _let_60 |:args| (_let_173 false _let_24)) |:args| (_let_171 true _let_172)))) (let ((_let_177 (ASSUME |:args| _let_174))) (let ((_let_178 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 |:args| (skv_34)) |:args| _let_174)) _let_176 |:args| (_let_168 false _let_171)))) (let ((_let_179 (not _let_168))) (let ((_let_180 (not _let_167))) (let ((_let_181 (_let_168))) (let ((_let_182 (REFL |:args| (_let_169)))) (let ((_let_183 (_let_167))) (let ((_let_184 (_let_160))) (let ((_let_185 (= k_10 _let_149))) (let ((_let_186 (not _let_185))) (let ((_let_187 (and _let_186 _let_150))) (let ((_let_188 (= _let_157 _let_187))) (let ((_let_189 (not _let_157))) (let ((_let_190 (_let_149))) (let ((_let_191 (not _let_187))) (let ((_let_192 (forall ((z nat)) (= (ho_8 k_10 z) (ho_8 (ho_7 (ho_6 k_12 x) z) z))))) (let ((_let_193 (not _let_192))) (let ((_let_194 (or _let_193 _let_185))) (let ((_let_195 (ho_8 _let_149 skv_663))) (let ((_let_196 (ho_8 k_10 skv_663))) (let ((_let_197 (= _let_196 _let_195))) (let ((_let_198 (ho_7 (ho_6 k_5 x) z))) (let ((_let_199 (ho_8 _let_198 skv_663))) (let ((_let_200 (= _let_195 _let_199))) (let ((_let_201 (= _let_198 gt_17))) (let ((_let_202 (= k_10 gt_17))) (let ((_let_203 (not _let_196))) (let ((_let_204 (_let_197))) (let ((_let_205 (_let_29))) (let ((_let_206 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME |:args| _let_205) |:args| (x z skv_663)) |:args| _let_205)) (AND_ELIM _let_37 |:args| (1)) |:args| (_let_200 false _let_29)))) (let ((_let_207 (not _let_200))) (let ((_let_208 (not _let_199))) (let ((_let_209 (_let_200))) (let ((_let_210 (SYMM (THEORY_LEMMA |:args| ((= gt_17 _let_198) 12))))) (let ((_let_211 (forall ((z nat)) (= (ho_8 k_10 z) (ho_8 gt_17 z))))) (let ((_let_212 (not _let_211))) (let ((_let_213 (or _let_212 _let_202))) (let ((_let_214 (ho_8 gt_17 skv_141))) (let ((_let_215 (ho_8 k_10 skv_141))) (let ((_let_216 (= _let_215 _let_214))) (let ((_let_217 (ho_8 _let_198 skv_141))) (let ((_let_218 (= _let_215 _let_217))) (let ((_let_219 (not _let_215))) (let ((_let_220 (_let_216))) (let ((_let_221 (_let_27))) (let ((_let_222 (skv_141))) (let ((_let_223 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME |:args| _let_221) |:args| _let_222) |:args| _let_221)) (AND_ELIM _let_37 |:args| (3)) |:args| (_let_218 false _let_27)))) (let ((_let_224 (not _let_218))) (let ((_let_225 (_let_218))) (let ((_let_226 (not _let_217))) (let ((_let_227 (not _let_201))) (let ((_let_228 (REFL |:args| (_let_227)))) (let ((_let_229 (not _let_214))) (let ((_let_230 (and _let_229 _let_201))) (let ((_let_231 (23 ho_8))) (let ((_let_232 (SYMM (SYMM (ASSUME |:args| (_let_201)))))) (let ((_let_233 (CONG _let_232 (REFL |:args| _let_222) |:args| _let_231))) (let ((_let_234 (and _let_214 _let_201))) (let ((_let_235 (_let_212))) (let ((_let_236 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_213)) |:args| ((or _let_202 _let_212 (not _let_213)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME |:args| _let_235)) |:args| _let_235)) (CONG (MACRO_SR_PRED_INTRO |:args| ((= (not _let_212) _let_211))) (REFL |:args| ((not _let_216))) |:args| _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG |:args| (_let_234)) (IMPLIES_ELIM (SCOPE (TRUE_ELIM (TRANS _let_233 (TRUE_INTRO (ASSUME |:args| (_let_214))))) |:args| (_let_214 _let_201))) |:args| (true _let_234)) |:args| ((or _let_227 _let_229 _let_217))) _let_210 (REORDERING (CNF_EQUIV_POS2 |:args| _let_225) 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_let_113) |:args| ((or _let_83 _let_101 _let_111))) _let_110 (REORDERING (CNF_EQUIV_POS1 |:args| _let_98) |:args| ((or (not _let_78) _let_85 _let_96))) _let_95 (REORDERING (CNF_ITE_POS3 |:args| _let_114) |:args| ((or _let_81 _let_79 _let_112))) _let_117 (REORDERING (CNF_EQUIV_NEG1 |:args| _let_93) |:args| ((or _let_79 _let_78 _let_80))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_NEG2 |:args| _let_114) |:args| ((or _let_92 _let_82 _let_83))) (REORDERING (CNF_EQUIV_POS2 |:args| _let_113) |:args| ((or _let_84 _let_112 _let_111))) _let_110 (REORDERING (CNF_ITE_NEG1 |:args| _let_103) |:args| ((or _let_102 _let_85 _let_104))) _let_100 (REORDERING (CNF_ITE_NEG3 |:args| _let_103) |:args| ((or _let_102 _let_85 _let_101))) _let_100 (REORDERING (CNF_EQUIV_POS2 |:args| _let_98) |:args| ((or _let_78 _let_97 _let_96))) _let_95 (CNF_EQUIV_NEG2 |:args| _let_93) |:args| ((or _let_80 _let_92) true _let_83 false _let_87 true _let_82 false _let_51 true _let_84 false _let_51 true _let_85 false _let_86 true _let_78)) |:args| (_let_80 false _let_91 false _let_89 false _let_90 false _let_88 false _let_51 false _let_82 true _let_84 false _let_87 false _let_85 false _let_86 true _let_83 true _let_81 false _let_78 true _let_79)) |:args| (_let_72 false _let_80)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 |:args| (k_13 skv_200)) |:args| _let_76)) _let_75 |:args| (_let_74 false _let_25)) |:args| (_let_69 false _let_72 false _let_74)) |:args| (_let_71 true _let_70 false _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 |:args| _let_67) |:args| _let_64)) _let_66 |:args| (_let_55 false _let_57)) |:args| (_let_56 true _let_54 false _let_55)) |:args| (_let_53 false _let_51 true _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 |:args| (k_9 _let_41)) |:args| _let_39)) _let_38 |:args| (_let_50 false _let_18)) |:args| (_let_49 true _let_48 false _let_50)) |:args| (_let_47 true _let_46)) |:args| (_let_45 true _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 |:args| (k_9 gt_18)) |:args| _let_39)) _let_38 |:args| (_let_17 false _let_18)) |:args| (_let_16 true _let_15 false _let_17)) |:args| (_let_14 true _let_13)))) (let ((_let_268 (= _let_11 _let_9))) (let ((_let_269 (not _let_11))) (let ((_let_270 (_let_12))) (let ((_let_271 (_let_26))) (let ((_let_272 (skv_204))) (let ((_let_273 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME |:args| _let_271) |:args| _let_272) |:args| _let_271)) (AND_ELIM _let_37 |:args| (4)) |:args| (_let_268 false _let_26)))) (let ((_let_274 (not _let_268))) (let ((_let_275 (_let_268))) (let ((_let_276 (not _let_9))) (let ((_let_277 (not _let_8))) (let ((_let_278 (and _let_277 _let_7))) (let ((_let_279 (CONG _let_262 (REFL |:args| _let_272) |:args| _let_231))) (let ((_let_280 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG |:args| (_let_278)) (IMPLIES_ELIM (SCOPE (FALSE_ELIM (TRANS _let_279 (FALSE_INTRO (ASSUME |:args| (_let_277))))) |:args| (_let_277 _let_7))) |:args| (true _let_278)) (CONG (MACRO_SR_PRED_INTRO |:args| ((= (not _let_277) _let_8))) _let_264 (REFL |:args| (_let_276)) |:args| _let_63)) |:args| ((or _let_260 _let_8 _let_276))) _let_10 (REORDERING (CNF_EQUIV_POS1 |:args| _let_275) |:args| ((or _let_269 _let_9 _let_274))) _let_273 (CNF_EQUIV_NEG2 |:args| _let_270) _let_267 |:args| (_let_269 false _let_7 false _let_9 false _let_268 true _let_8 true _let_12)))) (let ((_let_281 (and _let_8 _let_7))) (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG |:args| (_let_281)) (IMPLIES_ELIM (SCOPE (TRUE_ELIM (TRANS _let_279 (TRUE_INTRO (ASSUME |:args| (_let_8))))) |:args| (_let_8 _let_7))) |:args| (true _let_281)) |:args| ((or _let_260 _let_277 _let_9))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 |:args| _let_275) |:args| ((or _let_11 _let_276 _let_274))) _let_280 _let_273 |:args| (_let_276 true _let_11 false _let_268)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 |:args| _let_270) |:args| ((or _let_11 _let_8 _let_12))) _let_280 _let_267 |:args| (_let_8 true _let_11 true _let_12)) _let_10 |:args| (false true _let_9 false _let_8 false _let_7)) |:args| (_let_5 _let_4 _let_3 _let_2 _let_1 (not false))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
2.67/3.00	)
2.67/3.00	% SZS output end Proof for theBenchmark
2.67/3.01	EOF