a>asize_fo_formulaV0c0ICa>asize_fo_formulaV1c0aForallVa>asize_fo_formulaV2c0aExistsVa>asize_fo_formulaV4c0Aa>asize_fo_formulaV3c0aAndVVa>asize_fo_formulaV6c0Aa>asize_fo_formulaV5c0aOrVVa>asize_fo_formulaV7c0aNotVtaFTruetaFFalsea>asize_fo_term_listV9c0Aa>asize_symbolV8c0aPAppVVV0ACa<anat_to_intanat_size_fo_formulaV10anat_to_intanat_size_fo_formulaV0Aa<=c0anat_to_intanat_size_fo_formulaV0aForallVa<anat_to_intanat_size_fo_formulaV11anat_to_intanat_size_fo_formulaV0Aa<=c0anat_to_intanat_size_fo_formulaV0aExistsVa<anat_to_intanat_size_fo_formulaV13anat_to_intanat_size_fo_formulaV0Aa<=c0anat_to_intanat_size_fo_formulaV0Ia>asize_fo_formulaV12c0Aa<anat_to_intanat_size_fo_formulaV12anat_to_intanat_size_fo_formulaV0Aa<=c0anat_to_intanat_size_fo_formulaV0aAndVVa<anat_to_intanat_size_fo_formulaV15anat_to_intanat_size_fo_formulaV0Aa<=c0anat_to_intanat_size_fo_formulaV0Ia>asize_fo_formulaV14c0Aa<anat_to_intanat_size_fo_formulaV14anat_to_intanat_size_fo_formulaV0Aa<=c0anat_to_intanat_size_fo_formulaV0aOrVVa<anat_to_intanat_size_fo_formula
VC for size_positive_lemma_fo_formula
a>asize_fo_formulaV0c0F
a=arename_fo_formulaarename_fo_formulaV1V2V3V4V5arename_fo_formulaV1arcomposeV2V4arcomposeV3V5ICa=arename_fo_formulaarename_fo_formulaV6V2V8V4V7arename_fo_formulaV6arcomposeV2V4arcomposeV8V7LaoliftV3LaoliftV5aForallVa=arename_fo_formulaarename_fo_formulaV9V2V11V4V10arename_fo_formulaV9arcomposeV2V4arcomposeV11V10LaoliftV3LaoliftV5aExistsVa=arename_fo_formulaarename_fo_formulaV13V2V3V4V5arename_fo_formulaV13arcomposeV2V4arcomposeV3V5Aa=arename_fo_formulaarename_fo_formulaV12V2V3V4V5arename_fo_formulaV12arcomposeV2V4arcomposeV3V5aAndVVa=arename_fo_formulaarename_fo_formulaV15V2V3V4V5arename_fo_formulaV15arcomposeV2V4arcomposeV3V5Aa=arename_fo_formulaarename_fo_formulaV14V2V3V4V5arename_fo_formulaV14arcomposeV2V4arcomposeV3V5aOrVVa=arename_fo_formulaarename_fo_formulaV16V2V3V4V5arename_fo_formulaV16arcomposeV2V4arcomposeV3V5aNotVtaFTruetaFFalsea=arename_fo_term_listarename_fo_term_listV18V2V3V4V5arename_fo_term_listV18arcomposeV2V4arcomposeV3V5Aa=arename_symbolarename_symbolV17V2V4arename_symbolV17arcomposeV2V4a
VC for renaming_composition_lemma_fo_formula
a=arename_fo_formulaarename_fo_formulaV1V2V3V4V5arename_fo_formulaV1arcomposeV2V4arcomposeV3V5F
a=arename_fo_formulaV6aidentityaidentityV6ICa=arename_fo_formulaV7aidentityaidentityV7aForallVa=arename_fo_formulaV8aidentityaidentityV8aExistsVa=arename_fo_formulaV10aidentityaidentityV10Aa=arename_fo_formulaV9aidentityaidentityV9aAndVVa=arename_fo_formulaV12aidentityaidentityV12Aa=arename_fo_formulaV11aidentityaidentityV11aOrVVa=arename_fo_formulaV13aidentityaidentityV13aNotVtaFTruetaFFalsea=arename_fo_term_listV15aidentityaidentityV15Aa=arename_symbolV14aidentityV14aPAppVVV6ACa<asize_fo_formulaV16asize_fo_formulaV6Aa<=c0asize_fo_formulaV6aForallVa<asize_fo_formulaV17asize_fo_formulaV6Aa<=c0asize_fo_formulaV6aExistsVa<asize_fo_formulaV19asize_fo_formulaV6Aa<=c0asize_fo_formulaV6Ia=arename_fo_formulaV18aidentityaidentityV18Aa<asize_fo_formulaV18asize_fo_formulaV6Aa<=c0asize_fo_formulaV6aAndVVa<asize_fo_formulaV21asize_fo_formulaV6Aa<=c0asize_fo_formulaV6Ia=arename_fo_formulaV20aidentityaidentityV20Aa<asize_fo_formulaV20asize_fo_formulaV6Aa<=c0asize_fo_formulaV6aOrVVa<asize_fo_formulaV22asize_fo_formulaV6Aa<=
VC for renaming_identity_lemma_fo_formula
a=arename_fo_formulaV6aidentityaidentityV6F
a<asize_fo_formulaV12asize_fo_formulaV7Aa<=c0asize_fo_formulaV7Ia=V7aForallV12FF
variant decrease
a<asize_fo_formulaV12asize_fo_formulaV7Aa<=c0asize_fo_formulaV7Ia=V7aExistsV12FF
a<asize_fo_formulaV12asize_fo_formulaV7Aa<=c0asize_fo_formulaV7Larename_subst_symbolV10aidentityLarename_subst_fo_termV11aidentityaidentityIa=V7aAndV12V13FF
a<asize_fo_formulaV13asize_fo_formulaV7Aa<=c0asize_fo_formulaV7Ia=asubst_fo_formulaarename_fo_formulaV12V8V9V15V14asubst_fo_formulaV12arcomposeV8V15arcomposeV9V14Larename_subst_symbolV10aidentityLarename_subst_fo_termV11aidentityaidentityIa=V7aAndV12V13FF
a<asize_fo_formulaV12asize_fo_formulaV7Aa<=c0asize_fo_formulaV7Larename_subst_symbolV10aidentityLarename_subst_fo_termV11aidentityaidentityIa=V7aOrV12V13FF
a<asize_fo_formulaV13asize_fo_formulaV7Aa<=c0asize_fo_formulaV7Ia=asubst_fo_formulaarename_fo_formulaV12V8V9V15V14asubst_fo_formulaV12arcomposeV8V15arcomposeV9V14Larename_subst_symbolV10aidentityLarename_subst_fo_termV11aidentityaidentityIa=V7aOrV12V13FF
a<asize_fo_formulaV12asize_fo_formulaV7Aa<=c0asize_fo_formulaV7Ia=V7aNotV12FF
a=asubst_fo_formulaarename_fo_formulaV7V8V9V10V11asubst_fo_formulaV7arcomposeV8V10arcomposeV9V11ICa=asubst_fo_formulaarename_fo_formulaV12V8V15V14V13asubst_fo_formulaV12arcomposeV8V14arcomposeV15V13LaoliftV9Larename_subst_symbolV10aidentityLarename_subst_fo_termaolifts_fo_termV11aidentityaidentityaForallVa=asubst_fo_formulaarename_fo_formulaV16V8V19V18V17asubst_fo_formulaV16arcomposeV8V18arcomposeV19V17LaoliftV9Larename_subst_symbolV10aidentityLarename_subst_fo_termaolifts_fo_termV11aidentityaidentityaExistsVa=asubst_fo_formulaarename_fo_formulaV21V8V9V25V24asubst_fo_formulaV21arcomposeV8V25arcomposeV9V24Larename_subst_symbolV10aidentityLarename_subst_fo_termV11aidentityaidentityAa=asubst_fo_formulaarename_fo_formulaV20V8V9V23V22asubst_fo_formulaV20arcomposeV8V23arcomposeV9V22Larename_subst_symbolV10aidentityLarename_subst_fo_termV11aidentityaidentityaAndVVa=asubst_fo_formulaarename_fo_formulaV27V8V9V31V30asubst_fo_formulaV27arcomposeV8V31arcomposeV9V30Larename_subst_symbolV10aidentityLarename_subst_fo_termV11
postcondition
VC for rename_then_subst_composition_lemma_fo_formula
a=asubst_fo_formulaarename_fo_formulaV7V8V9V10V11asubst_fo_formulaV7arcomposeV8V10arcomposeV9V11F
a=ataForallax
a<asize_fo_formulaaxasize_fo_formulaatAa<=c0asize_fo_formulaat
a=ataExistsax
a=ataAndaxax1
a=arename_fo_formulaasubst_fo_formulaaxarename_subst_symbolas10aidentityarename_subst_fo_termas11aidentityaidentityas20as21asubst_fo_formulaaxarename_subst_symbolarename_subst_symbolas10aidentityas20arename_subst_fo_termarename_subst_fo_termas11aidentityaidentityas20as21
a<asize_fo_formulaax1asize_fo_formulaatAa<=c0asize_fo_formulaat
a=ataOraxax1
a=ataNotax
Ca=arename_fo_formulaasubst_fo_formulaV12V15V14as20V13asubst_fo_formulaV12arename_subst_symbolV15as20arename_subst_fo_termV14as20V13Larename_subst_symbolas10aidentityLarename_subst_fo_termaolifts_fo_termas11aidentityaidentityLaoliftas21aForallVa=arename_fo_formulaasubst_fo_formulaV16V19V18as20V17asubst_fo_formulaV16arename_subst_symbolV19as20arename_subst_fo_termV18as20V17Larename_subst_symbolas10aidentityLarename_subst_fo_termaolifts_fo_termas11aidentityaidentityLaoliftas21aExistsVa=arename_fo_formulaasubst_fo_formulaV21V25V24as20as21asubst_fo_formulaV21arename_subst_symbolV25as20arename_subst_fo_termV24as20as21Larename_subst_symbolas10aidentityLarename_subst_fo_termas11aidentityaidentityAa=arename_fo_formulaasubst_fo_formulaV20V23V22as20as21asubst_fo_formulaV20arename_subst_symbolV23as20arename_subst_fo_termV22as20as21Larename_subst_symbolas10aidentityLarename_subst_fo_termas11aidentityaidentityaAndVVa=arename_fo_formulaasubst_fo_formulaV27V31V30as20as21asubst_fo_formulaV27arename_subst_symbolV31as20arename_subst_fo_term
a=arename_fo_formulaasubst_fo_formulaaPAppaxax1as10as11as20as21asubst_fo_formulaaPAppaxax1arename_subst_symbolas10as20arename_subst_fo_termas11as20as21
a=arename_fo_formulaasubst_fo_formulaaFFalseas10as11as20as21asubst_fo_formulaaFFalsearename_subst_symbolas10as20arename_subst_fo_termas11as20as21
a=arename_fo_formulaasubst_fo_formulaaFTrueas10as11as20as21asubst_fo_formulaaFTruearename_subst_symbolas10as20arename_subst_fo_termas11as20as21
a=arename_fo_formulaasubst_fo_formulaaNotaxas10as11as20as21asubst_fo_formulaaNotaxarename_subst_symbolas10as20arename_subst_fo_termas11as20as21
a=arename_fo_formulaasubst_fo_formulaaOraxax1as10as11as20as21asubst_fo_formulaaOraxax1arename_subst_symbolas10as20arename_subst_fo_termas11as20as21
a=arename_fo_formulaasubst_fo_formulaaAndaxax1as10as11as20as21asubst_fo_formulaaAndaxax1arename_subst_symbolas10as20arename_subst_fo_termas11as20as21
a=arename_fo_formulaCaForallasubst_fo_formulaV32arename_subst_symbolas10aidentityarename_subst_fo_termaolifts_fo_termas11aidentityaidentityaForallVaExistsasubst_fo_formulaV33arename_subst_symbolas10aidentityarename_subst_fo_termaolifts_fo_termas11aidentityaidentityaExistsVaAndasubst_fo_formulaV34arename_subst_symbolas10aidentityarename_subst_fo_termas11aidentityaidentityasubst_fo_formulaV35arename_subst_symbolas10aidentityarename_subst_fo_termas11aidentityaidentityaAndVVaOrasubst_fo_formulaV36arename_subst_symbolas10aidentityarename_subst_fo_termas11aidentityaidentityasubst_fo_formulaV37arename_subst_symbolas10aidentityarename_subst_fo_termas11aidentityaidentityaOrVVaNotasubst_fo_formulaV38arename_subst_symbolas10aidentityarename_subst_fo_termas11aidentityaidentityaNotVaFTrueaFTrueaFFalseaFFalseaPAppasubst_symbolV39arename_subst_symbolas10aidentityasubst_fo_term_listV40arename_subst_symbolas10aidentityarename_subst_fo_termas11aidentityaidentityaPAppVVaExistsaxas20as21CaForallasubst_fo_formulaV41arename_subst_symbol
a=arename_fo_formulaasubst_fo_formulaaExistsaxas10as11as20as21asubst_fo_formulaaExistsaxarename_subst_symbolas10as20arename_subst_fo_termas11as20as21
a=arename_fo_formulaCaForallasubst_fo_formulaV32arename_subst_symbolas10aidentityarename_subst_fo_termaolifts_fo_termas11aidentityaidentityaForallVaExistsasubst_fo_formulaV33arename_subst_symbolas10aidentityarename_subst_fo_termaolifts_fo_termas11aidentityaidentityaExistsVaAndasubst_fo_formulaV34arename_subst_symbolas10aidentityarename_subst_fo_termas11aidentityaidentityasubst_fo_formulaV35arename_subst_symbolas10aidentityarename_subst_fo_termas11aidentityaidentityaAndVVaOrasubst_fo_formulaV36arename_subst_symbolas10aidentityarename_subst_fo_termas11aidentityaidentityasubst_fo_formulaV37arename_subst_symbolas10aidentityarename_subst_fo_termas11aidentityaidentityaOrVVaNotasubst_fo_formulaV38arename_subst_symbolas10aidentityarename_subst_fo_termas11aidentityaidentityaNotVaFTrueaFTrueaFFalseaFFalseaPAppasubst_symbolV39arename_subst_symbolas10aidentityasubst_fo_term_listV40arename_subst_symbolas10aidentityarename_subst_fo_termas11aidentityaidentityaPAppVVaForallaxas20as21CaForallasubst_fo_formulaV41arename_subst_symbol
a=arename_fo_formulaasubst_fo_formulaaForallaxas10as11as20as21asubst_fo_formulaaForallaxarename_subst_symbolas10as20arename_subst_fo_termas11as20as21
a=arename_fo_formulaasubst_fo_formulaatas10as11as20as21asubst_fo_formulaatarename_subst_symbolas10as20arename_subst_fo_termas11as20as21
a=arename_fo_formulaasubst_fo_formulaV12V13V14V15V16asubst_fo_formulaV12arename_subst_symbolV13V15arename_subst_fo_termV14V15V16ICa=arename_fo_formulaasubst_fo_formulaV17V20V19V15V18asubst_fo_formulaV17arename_subst_symbolV20V15arename_subst_fo_termV19V15V18Larename_subst_symbolV13aidentityLarename_subst_fo_termaolifts_fo_termV14aidentityaidentityLaoliftV16aForallVa=arename_fo_formulaasubst_fo_formulaV21V24V23V15V22asubst_fo_formulaV21arename_subst_symbolV24V15arename_subst_fo_termV23V15V22Larename_subst_symbolV13aidentityLarename_subst_fo_termaolifts_fo_termV14aidentityaidentityLaoliftV16aExistsVa=arename_fo_formulaasubst_fo_formulaV26V30V29V15V16asubst_fo_formulaV26arename_subst_symbolV30V15arename_subst_fo_termV29V15V16Larename_subst_symbolV13aidentityLarename_subst_fo_termV14aidentityaidentityAa=arename_fo_formulaasubst_fo_formulaV25V28V27V15V16asubst_fo_formulaV25arename_subst_symbolV28V15arename_subst_fo_termV27V15V16Larename_subst_symbolV13aidentityLarename_subst_fo_termV14aidentityaidentityaAndVVa=arename_fo_formula
VC for subst_then_rename_composition_lemma_fo_formula
a=arename_fo_formulaasubst_fo_formulaV12V13V14V15V16asubst_fo_formulaV12arename_subst_symbolV13V15arename_subst_fo_termV14V15V16F
a=asubst_fo_formulaasubst_fo_formulaaxarename_subst_symbolas10aidentityarename_subst_fo_termas11aidentityaidentityarename_subst_symbolas20aidentityarename_subst_fo_termas21aidentityaidentityasubst_fo_formulaaxasubst_compose_symbolarename_subst_symbolas10aidentityarename_subst_symbolas20aidentityasubst_compose_fo_termarename_subst_fo_termas11aidentityaidentityarename_subst_symbolas20aidentityarename_subst_fo_termas21aidentityaidentity
Ca=asubst_fo_formulaasubst_fo_formulaV17V21V20V19V18asubst_fo_formulaV17asubst_compose_symbolV21V19asubst_compose_fo_termV20V19V18Larename_subst_symbolas10aidentityLarename_subst_fo_termaolifts_fo_termas11aidentityaidentityLarename_subst_symbolas20aidentityLarename_subst_fo_termaolifts_fo_termas21aidentityaidentityaForallVa=asubst_fo_formulaasubst_fo_formulaV22V26V25V24V23asubst_fo_formulaV22asubst_compose_symbolV26V24asubst_compose_fo_termV25V24V23Larename_subst_symbolas10aidentityLarename_subst_fo_termaolifts_fo_termas11aidentityaidentityLarename_subst_symbolas20aidentityLarename_subst_fo_termaolifts_fo_termas21aidentityaidentityaExistsVa=asubst_fo_formulaasubst_fo_formulaV28V36V35V34V33asubst_fo_formulaV28asubst_compose_symbolV36V34asubst_compose_fo_termV35V34V33Larename_subst_symbolas10aidentityLarename_subst_fo_termas11aidentityaidentityLarename_subst_symbolas20aidentityLarename_subst_fo_termas21aidentityaidentityAa=asubst_fo_formulaasubst_fo_formulaV27V32V31V30V29asubst_fo_formulaV27asubst_compose_symbol
a=asubst_fo_formulaasubst_fo_formulaaPAppaxax1as10as11as20as21asubst_fo_formulaaPAppaxax1asubst_compose_symbolas10as20asubst_compose_fo_termas11as20as21
a=asubst_fo_formulaasubst_fo_formulaaFFalseas10as11as20as21asubst_fo_formulaaFFalseasubst_compose_symbolas10as20asubst_compose_fo_termas11as20as21
a=asubst_fo_formulaasubst_fo_formulaaFTrueas10as11as20as21asubst_fo_formulaaFTrueasubst_compose_symbolas10as20asubst_compose_fo_termas11as20as21
a=asubst_fo_formulaasubst_fo_formulaaNotaxas10as11as20as21asubst_fo_formulaaNotaxasubst_compose_symbolas10as20asubst_compose_fo_termas11as20as21
a=asubst_fo_formulaasubst_fo_formulaaOraxax1as10as11as20as21asubst_fo_formulaaOraxax1asubst_compose_symbolas10as20asubst_compose_fo_termas11as20as21
a=asubst_fo_formulaasubst_fo_formulaaAndaxax1as10as11as20as21asubst_fo_formulaaAndaxax1asubst_compose_symbolas10as20asubst_compose_fo_termas11as20as21
a=asubst_fo_formulaasubst_fo_formulaaExistsaxas10as11as20as21asubst_fo_formulaaExistsaxasubst_compose_symbolas10as20asubst_compose_fo_termas11as20as21
a=asubst_fo_formulaasubst_fo_formulaaForallaxas10as11as20as21asubst_fo_formulaaForallaxasubst_compose_symbolas10as20asubst_compose_fo_termas11as20as21
a=asubst_fo_formulaasubst_fo_formulaatas10as11as20as21asubst_fo_formulaatasubst_compose_symbolas10as20asubst_compose_fo_termas11as20as21
a=asubst_fo_formulaasubst_fo_formulaV17V18V19V20V21asubst_fo_formulaV17asubst_compose_symbolV18V20asubst_compose_fo_termV19V20V21ICa=asubst_fo_formulaasubst_fo_formulaV22V26V25V24V23asubst_fo_formulaV22asubst_compose_symbolV26V24asubst_compose_fo_termV25V24V23Larename_subst_symbolV18aidentityLarename_subst_fo_termaolifts_fo_termV19aidentityaidentityLarename_subst_symbolV20aidentityLarename_subst_fo_termaolifts_fo_termV21aidentityaidentityaForallVa=asubst_fo_formulaasubst_fo_formulaV27V31V30V29V28asubst_fo_formulaV27asubst_compose_symbolV31V29asubst_compose_fo_termV30V29V28Larename_subst_symbolV18aidentityLarename_subst_fo_termaolifts_fo_termV19aidentityaidentityLarename_subst_symbolV20aidentityLarename_subst_fo_termaolifts_fo_termV21aidentityaidentityaExistsVa=asubst_fo_formulaasubst_fo_formulaV33V41V40V39V38asubst_fo_formulaV33asubst_compose_symbolV41V39asubst_compose_fo_termV40V39V38Larename_subst_symbolV18aidentityLarename_subst_fo_termV19aidentityaidentityLarename_subst_symbolV20aidentityLarename_subst_fo_term
VC for subst_composition_lemma_fo_formula
a=asubst_fo_formulaasubst_fo_formulaV17V18V19V20V21asubst_fo_formulaV17asubst_compose_symbolV18V20asubst_compose_fo_termV19V20V21F
a<asize_fo_formulaV23asize_fo_formulaV22Aa<=c0asize_fo_formulaV22Ia=V22aForallV23FF
a<asize_fo_formulaV23asize_fo_formulaV22Aa<=c0asize_fo_formulaV22Ia=V22aExistsV23FF
a<asize_fo_formulaV23asize_fo_formulaV22Aa<=c0asize_fo_formulaV22Ia=V22aAndV23V24FF
a<asize_fo_formulaV24asize_fo_formulaV22Aa<=c0asize_fo_formulaV22Ia=asubst_fo_formulaV23asubst_id_symbolasubst_id_fo_termV23Ia=V22aAndV23V24FF
a<asize_fo_formulaV23asize_fo_formulaV22Aa<=c0asize_fo_formulaV22Ia=V22aOrV23V24FF
a<asize_fo_formulaV24asize_fo_formulaV22Aa<=c0asize_fo_formulaV22Ia=asubst_fo_formulaV23asubst_id_symbolasubst_id_fo_termV23Ia=V22aOrV23V24FF
a<asize_fo_formulaV23asize_fo_formulaV22Aa<=c0asize_fo_formulaV22Ia=V22aNotV23FF
a=asubst_fo_formulaaxasubst_id_symbolasubst_id_fo_termax
a=asubst_fo_formulaatasubst_id_symbolasubst_id_fo_termat
a=asubst_fo_formulaax1asubst_id_symbolasubst_id_fo_termax1
a=ataFTrue
a=ataFFalse
a=ataPAppaxax1
a=asubst_symbolaxasubst_id_symbolax
a=asubst_fo_term_listax1asubst_id_symbolasubst_id_fo_termax1
a=asubst_fo_formulaV22asubst_id_symbolasubst_id_fo_termV22ICa=asubst_fo_formulaV23asubst_id_symbolasubst_id_fo_termV23aForallVa=asubst_fo_formulaV24asubst_id_symbolasubst_id_fo_termV24aExistsVa=asubst_fo_formulaV26asubst_id_symbolasubst_id_fo_termV26Aa=asubst_fo_formulaV25asubst_id_symbolasubst_id_fo_termV25aAndVVa=asubst_fo_formulaV28asubst_id_symbolasubst_id_fo_termV28Aa=asubst_fo_formulaV27asubst_id_symbolasubst_id_fo_termV27aOrVVa=asubst_fo_formulaV29asubst_id_symbolasubst_id_fo_termV29aNotVtaFTruetaFFalsea=asubst_fo_term_listV31asubst_id_symbolasubst_id_fo_termV31Aa=asubst_symbolV30asubst_id_symbolV30aPAppVVV22F
a=asubst_fo_formulaV22asubst_id_symbolasubst_id_fo_termV22ICa=asubst_fo_formulaV23asubst_id_symbolasubst_id_fo_termV23aForallVa=asubst_fo_formulaV24asubst_id_symbolasubst_id_fo_termV24aExistsVa=asubst_fo_formulaV26asubst_id_symbolasubst_id_fo_termV26Aa=asubst_fo_formulaV25asubst_id_symbolasubst_id_fo_termV25aAndVVa=asubst_fo_formulaV28asubst_id_symbolasubst_id_fo_termV28Aa=asubst_fo_formulaV27asubst_id_symbolasubst_id_fo_termV27aOrVVa=asubst_fo_formulaV29asubst_id_symbolasubst_id_fo_termV29aNotVtaFTruetaFFalsea=asubst_fo_term_listV31asubst_id_symbolasubst_id_fo_termV31Aa=asubst_symbolV30asubst_id_symbolV30aPAppVVV22ACa<asize_fo_formulaV32asize_fo_formulaV22Aa<=c0asize_fo_formulaV22aForallVa<asize_fo_formulaV33asize_fo_formulaV22Aa<=c0asize_fo_formulaV22aExistsVa<asize_fo_formulaV35asize_fo_formulaV22Aa<=c0asize_fo_formulaV22Ia=asubst_fo_formulaV34asubst_id_symbolasubst_id_fo_termV34Aa<asize_fo_formulaV34asize_fo_formulaV22Aa<=c0asize_fo_formulaV22aAndVVa<asize_fo_formulaV37asize_fo_formulaV22Aa<=c0asize_fo_formula
VC for subst_identity_lemma_fo_formula
a=asubst_fo_formulaV22asubst_id_symbolasubst_id_fo_termV22F
a=asize_fo_formulaarename_fo_formulaaxas0as1asize_fo_formulaax
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a=asize_fo_formulaarename_fo_formulaaPAppaxax1as0as1asize_fo_formulaaPAppaxax1
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a=asize_fo_formulaarename_fo_formulaaFFalseas0as1asize_fo_formulaaFFalse
Ca=asize_fo_formulaarename_fo_formulaV23as0aoliftas1asize_fo_formulaV23aForallVa=asize_fo_formulaarename_fo_formulaV24as0aoliftas1asize_fo_formulaV24aExistsVa=asize_fo_formulaarename_fo_formulaV26as0as1asize_fo_formulaV26Aa=asize_fo_formulaarename_fo_formulaV25as0as1asize_fo_formulaV25aAndVVa=asize_fo_formulaarename_fo_formulaV28as0as1asize_fo_formulaV28Aa=asize_fo_formulaarename_fo_formulaV27as0as1asize_fo_formulaV27aOrVVa=asize_fo_formulaarename_fo_formulaV29as0as1asize_fo_formulaV29aNotVtaFTruetaFFalsea=asize_fo_term_listarename_fo_term_listV31as0as1asize_fo_term_listV31Aa=asize_symbolarename_symbolV30as0asize_symbolV30aPAppVVaFTrue
a=asize_fo_formulaarename_fo_formulaaFTrueas0as1asize_fo_formulaaFTrue
Ca=asize_fo_formulaarename_fo_formulaV23as0aoliftas1asize_fo_formulaV23aForallVa=asize_fo_formulaarename_fo_formulaV24as0aoliftas1asize_fo_formulaV24aExistsVa=asize_fo_formulaarename_fo_formulaV26as0as1asize_fo_formulaV26Aa=asize_fo_formulaarename_fo_formulaV25as0as1asize_fo_formulaV25aAndVVa=asize_fo_formulaarename_fo_formulaV28as0as1asize_fo_formulaV28Aa=asize_fo_formulaarename_fo_formulaV27as0as1asize_fo_formulaV27aOrVVa=asize_fo_formulaarename_fo_formulaV29as0as1asize_fo_formulaV29aNotVtaFTruetaFFalsea=asize_fo_term_listarename_fo_term_listV31as0as1asize_fo_term_listV31Aa=asize_symbolarename_symbolV30as0asize_symbolV30aPAppVVaNotax
a=asize_fo_formulaarename_fo_formulaaNotaxas0as1asize_fo_formulaaNotax
Ca=asize_fo_formulaarename_fo_formulaV23as0aoliftas1asize_fo_formulaV23aForallVa=asize_fo_formulaarename_fo_formulaV24as0aoliftas1asize_fo_formulaV24aExistsVa=asize_fo_formulaarename_fo_formulaV26as0as1asize_fo_formulaV26Aa=asize_fo_formulaarename_fo_formulaV25as0as1asize_fo_formulaV25aAndVVa=asize_fo_formulaarename_fo_formulaV28as0as1asize_fo_formulaV28Aa=asize_fo_formulaarename_fo_formulaV27as0as1asize_fo_formulaV27aOrVVa=asize_fo_formulaarename_fo_formulaV29as0as1asize_fo_formulaV29aNotVtaFTruetaFFalsea=asize_fo_term_listarename_fo_term_listV31as0as1asize_fo_term_listV31Aa=asize_symbolarename_symbolV30as0asize_symbolV30aPAppVVaOraxax1
a=asize_fo_formulaarename_fo_formulaaOraxax1as0as1asize_fo_formulaaOraxax1
Ca=asize_fo_formulaarename_fo_formulaV23as0aoliftas1asize_fo_formulaV23aForallVa=asize_fo_formulaarename_fo_formulaV24as0aoliftas1asize_fo_formulaV24aExistsVa=asize_fo_formulaarename_fo_formulaV26as0as1asize_fo_formulaV26Aa=asize_fo_formulaarename_fo_formulaV25as0as1asize_fo_formulaV25aAndVVa=asize_fo_formulaarename_fo_formulaV28as0as1asize_fo_formulaV28Aa=asize_fo_formulaarename_fo_formulaV27as0as1asize_fo_formulaV27aOrVVa=asize_fo_formulaarename_fo_formulaV29as0as1asize_fo_formulaV29aNotVtaFTruetaFFalsea=asize_fo_term_listarename_fo_term_listV31as0as1asize_fo_term_listV31Aa=asize_symbolarename_symbolV30as0asize_symbolV30aPAppVVaAndaxax1
a=asize_fo_formulaarename_fo_formulaaAndaxax1as0as1asize_fo_formulaaAndaxax1
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a=asize_fo_formulaarename_fo_formulaaExistsaxas0as1asize_fo_formulaaExistsax
Ca=asize_fo_formulaarename_fo_formulaV23as0aoliftas1asize_fo_formulaV23aForallVa=asize_fo_formulaarename_fo_formulaV24as0aoliftas1asize_fo_formulaV24aExistsVa=asize_fo_formulaarename_fo_formulaV26as0as1asize_fo_formulaV26Aa=asize_fo_formulaarename_fo_formulaV25as0as1asize_fo_formulaV25aAndVVa=asize_fo_formulaarename_fo_formulaV28as0as1asize_fo_formulaV28Aa=asize_fo_formulaarename_fo_formulaV27as0as1asize_fo_formulaV27aOrVVa=asize_fo_formulaarename_fo_formulaV29as0as1asize_fo_formulaV29aNotVtaFTruetaFFalsea=asize_fo_term_listarename_fo_term_listV31as0as1asize_fo_term_listV31Aa=asize_symbolarename_symbolV30as0asize_symbolV30aPAppVVaForallax
a=asize_fo_formulaarename_fo_formulaaForallaxas0as1asize_fo_formulaaForallax
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a=asize_fo_formulaarename_fo_formulaatas0as1asize_fo_formulaat
a=asize_fo_formulaarename_fo_formulaV23V24V25asize_fo_formulaV23ICa=asize_fo_formulaarename_fo_formulaV26V24aoliftV25asize_fo_formulaV26aForallVa=asize_fo_formulaarename_fo_formulaV27V24aoliftV25asize_fo_formulaV27aExistsVa=asize_fo_formulaarename_fo_formulaV29V24V25asize_fo_formulaV29Aa=asize_fo_formulaarename_fo_formulaV28V24V25asize_fo_formulaV28aAndVVa=asize_fo_formulaarename_fo_formulaV31V24V25asize_fo_formulaV31Aa=asize_fo_formulaarename_fo_formulaV30V24V25asize_fo_formulaV30aOrVVa=asize_fo_formulaarename_fo_formulaV32V24V25asize_fo_formulaV32aNotVtaFTruetaFFalsea=asize_fo_term_listarename_fo_term_listV34V24V25asize_fo_term_listV34Aa=asize_symbolarename_symbolV33V24asize_symbolV33aPAppVVV23ACa<asize_fo_formulaV35asize_fo_formulaV23Aa<=c0asize_fo_formulaV23aForallVa<asize_fo_formulaV36asize_fo_formulaV23Aa<=c0asize_fo_formulaV23aExistsVa<asize_fo_formulaV38asize_fo_formulaV23Aa<=c0asize_fo_formulaV23Ia=asize_fo_formulaarename_fo_formulaV37V24V25asize_fo_formulaV37Aa<asize_fo_formulaV37asize_fo_formulaV23
VC for renaming_preserve_size_fo_formula
a=asize_fo_formulaarename_fo_formulaV23V24V25asize_fo_formulaV23F
a=a@V28V30V26Aais_symbol_free_var_in_fo_formulaV30V27ICa=V30V32Aa=a@V28V32V26Aais_symbol_free_var_in_fo_formulaV32V31EAais_symbol_free_var_in_fo_formulaV26arename_fo_formulaV31V28aoliftV29aForallVa=V30V34Aa=a@V28V34V26Aais_symbol_free_var_in_fo_formulaV34V33EAais_symbol_free_var_in_fo_formulaV26arename_fo_formulaV33V28aoliftV29aExistsVia=V30V37Aa=a@V28V37V26Aais_symbol_free_var_in_fo_formulaV37V36EAais_symbol_free_var_in_fo_formulaV26arename_fo_formulaV36V28V29a=V30V38Aa=a@V28V38V26Aais_symbol_free_var_in_fo_formulaV38V35Eais_symbol_free_var_in_fo_formulaV26arename_fo_formulaV35V28V29aAndVVia=V30V41Aa=a@V28V41V26Aais_symbol_free_var_in_fo_formulaV41V40EAais_symbol_free_var_in_fo_formulaV26arename_fo_formulaV40V28V29a=V30V42Aa=a@V28V42V26Aais_symbol_free_var_in_fo_formulaV42V39Eais_symbol_free_var_in_fo_formulaV26arename_fo_formulaV39V28V29aOrVVa=V30V44Aa=a@V28V44V26Aais_symbol_free_var_in_fo_formulaV44V43EAais_symbol_free_var_in_fo_formulaV26arename_fo_formulaV43V28V29aNotVfaFTruefaFFalseia=V30V47Aa=a@V28V47V
VC for rename_free_var_constructive_inversion_symbol_fo_formula
a=a@V28V31V26Aais_symbol_free_var_in_fo_formulaV31V27EIa=a@V28V30V26Aais_symbol_free_var_in_fo_formulaV30V27FAais_symbol_free_var_in_fo_formulaV26arename_fo_formulaV27V28V29Aa<asize_fo_formulaV27a+c1asize_fo_formulaV27Aa<=c0a+c1asize_fo_formulaV27Iais_symbol_free_var_in_fo_formulaV26arename_fo_formulaV27V28V29F
VC for rename_free_var_inversion_symbol_fo_formula
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VC for rename_free_var_constructive_inversion_fo_term_fo_formula
a=a@V29V31V26Aais_fo_term_free_var_in_fo_formulaV31V27EIa=a@V29V30V26Aais_fo_term_free_var_in_fo_formulaV30V27FAais_fo_term_free_var_in_fo_formulaV26arename_fo_formulaV27V28V29Aa<asize_fo_formulaV27a+c1asize_fo_formulaV27Aa<=c0a+c1asize_fo_formulaV27Iais_fo_term_free_var_in_fo_formulaV26arename_fo_formulaV27V28V29F
VC for rename_free_var_inversion_fo_term_fo_formula
a=a@V28V30V26Aais_symbol_free_var_in_fo_formulaV30V27EIais_symbol_free_var_in_fo_formulaV26arename_fo_formulaV27V28V29F
a=a@V34V35V31Aais_fo_term_free_var_in_fo_formulaV35V32EIais_fo_term_free_var_in_fo_formulaV31arename_fo_formulaV32V33V34F
a<asize_fo_formulaV40asize_fo_formulaV37Aa<=c0asize_fo_formulaV37Ia=V37aForallV40FF
a<asize_fo_formulaV40asize_fo_formulaV37Aa<=c0asize_fo_formulaV37Ia=V37aExistsV40FF
a<asize_fo_formulaV40asize_fo_formulaV37Aa<=c0asize_fo_formulaV37Ia=V37aAndV40V41FF
a<asize_fo_formulaV41asize_fo_formulaV37Aa<=c0asize_fo_formulaV37Iais_symbol_free_var_in_fo_formulaa@V38V36arename_fo_formulaV40V38V39Iais_symbol_free_var_in_fo_formulaV36V40Ia=V37aAndV40V41FF
a<asize_fo_formulaV40asize_fo_formulaV37Aa<=c0asize_fo_formulaV37Ia=V37aOrV40V41FF
a<asize_fo_formulaV41asize_fo_formulaV37Aa<=c0asize_fo_formulaV37Iais_symbol_free_var_in_fo_formulaa@V38V36arename_fo_formulaV40V38V39Iais_symbol_free_var_in_fo_formulaV36V40Ia=V37aOrV40V41FF
a<asize_fo_formulaV40asize_fo_formulaV37Aa<=c0asize_fo_formulaV37Ia=V37aNotV40FF
ais_symbol_free_var_in_fo_formulaa@V38V36arename_fo_formulaV37V38V39Iais_symbol_free_var_in_fo_formulaV36V37ICais_symbol_free_var_in_fo_formulaa@V38V36arename_fo_formulaV40V38aoliftV39Iais_symbol_free_var_in_fo_formulaV36V40aForallVais_symbol_free_var_in_fo_formulaa@V38V36arename_fo_formulaV41V38aoliftV39Iais_symbol_free_var_in_fo_formulaV36V41aExistsVais_symbol_free_var_in_fo_formulaa@V38V36arename_fo_formulaV43V38V39Iais_symbol_free_var_in_fo_formulaV36V43Aais_symbol_free_var_in_fo_formulaa@V38V36arename_fo_formulaV42V38V39Iais_symbol_free_var_in_fo_formulaV36V42aAndVVais_symbol_free_var_in_fo_formulaa@V38V36arename_fo_formulaV45V38V39Iais_symbol_free_var_in_fo_formulaV36V45Aais_symbol_free_var_in_fo_formulaa@V38V36arename_fo_formulaV44V38V39Iais_symbol_free_var_in_fo_formulaV36V44aOrVVais_symbol_free_var_in_fo_formulaa@V38V36arename_fo_formulaV46V38V39Iais_symbol_free_var_in_fo_formulaV36V46aNotVtaFTruetaFFalseais_symbol_free_var_in_fo_term_lista@V38V36arename_fo_term_listV48V38V39Iais_symbol_free_var_in_fo_term_list
VC for rename_free_var_propagation_symbol_fo_formula
a<asize_fo_formulaV41asize_fo_formulaV37Aa<=c0asize_fo_formulaV37Iais_fo_term_free_var_in_fo_formulaa@V39V36arename_fo_formulaV40V38V39Iais_fo_term_free_var_in_fo_formulaV36V40Ia=V37aAndV40V41FF
a<asize_fo_formulaV41asize_fo_formulaV37Aa<=c0asize_fo_formulaV37Iais_fo_term_free_var_in_fo_formulaa@V39V36arename_fo_formulaV40V38V39Iais_fo_term_free_var_in_fo_formulaV36V40Ia=V37aOrV40V41FF
ais_fo_term_free_var_in_fo_formulaa@V39V36arename_fo_formulaV37V38V39Iais_fo_term_free_var_in_fo_formulaV36V37ICais_fo_term_free_var_in_fo_formulaa@V41V42arename_fo_formulaV40V38V41Iais_fo_term_free_var_in_fo_formulaV42V40LaSomeV36LaoliftV39aForallVais_fo_term_free_var_in_fo_formulaa@V44V45arename_fo_formulaV43V38V44Iais_fo_term_free_var_in_fo_formulaV45V43LaSomeV36LaoliftV39aExistsVais_fo_term_free_var_in_fo_formulaa@V39V36arename_fo_formulaV47V38V39Iais_fo_term_free_var_in_fo_formulaV36V47Aais_fo_term_free_var_in_fo_formulaa@V39V36arename_fo_formulaV46V38V39Iais_fo_term_free_var_in_fo_formulaV36V46aAndVVais_fo_term_free_var_in_fo_formulaa@V39V36arename_fo_formulaV49V38V39Iais_fo_term_free_var_in_fo_formulaV36V49Aais_fo_term_free_var_in_fo_formulaa@V39V36arename_fo_formulaV48V38V39Iais_fo_term_free_var_in_fo_formulaV36V48aOrVVais_fo_term_free_var_in_fo_formulaa@V39V36arename_fo_formulaV50V38V39Iais_fo_term_free_var_in_fo_formulaV36V50aNotVtaFTruetaFFalseais_fo_term_free_var_in_fo_term_lista@V39V36arename_fo_term_list
VC for rename_free_var_propagation_fo_term_fo_formula
ais_symbol_free_var_in_fo_formulaa@V38V36arename_fo_formulaV37V38V39Iais_symbol_free_var_in_fo_formulaV36V37F
ais_fo_term_free_var_in_fo_formulaa@V43V40arename_fo_formulaV41V42V43Iais_fo_term_free_var_in_fo_formulaV40V41F
a<asize_fo_formulaV48asize_fo_formulaV45Aa<=c0asize_fo_formulaV45Larename_subst_symbolV46aidentityLarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIa=V45aForallV48FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
ais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48V50V49Larename_subst_symbolV46aidentityLarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIa=V45aForallV48FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
precondition
ais_symbol_free_var_in_symbolV44arename_symbolV54V53LaevalV46V52LaidentityIa=V51aLeftV52FICais_symbol_free_var_in_symbolV44a@V50V55Aais_symbol_free_var_in_fo_formulaV55V48aLeftVais_symbol_free_var_in_fo_termV44a@V49V56Aais_fo_term_free_var_in_fo_formulaV56V48aRightVV51FLarename_subst_symbolV46aidentityLarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIa=V45aForallV48FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
a=V55V44Ia=a@V53V55V44Aais_symbol_free_var_in_symbolV55V54FLaevalV46V52LaidentityIa=V51aLeftV52FICais_symbol_free_var_in_symbolV44a@V50V56Aais_symbol_free_var_in_fo_formulaV56V48aLeftVais_symbol_free_var_in_fo_termV44a@V49V57Aais_fo_term_free_var_in_fo_formulaV57V48aRightVV51FLarename_subst_symbolV46aidentityLarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIa=V45aForallV48FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
assertion
fIa=V52aNoneIa=V51aRightV52FICais_symbol_free_var_in_symbolV44a@V50V53Aais_symbol_free_var_in_fo_formulaV53V48aLeftVais_symbol_free_var_in_fo_termV44a@V49V54Aais_fo_term_free_var_in_fo_formulaV54V48aRightVV51FLarename_subst_symbolV46aidentityLarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIa=V45aForallV48FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
unreachable point
ais_symbol_free_var_in_fo_termV44arename_fo_termV55V54acomposeasomeaidentityLaevalV47V53LaidentityIa=V52aSomeV53FIa=V51aRightV52FICais_symbol_free_var_in_symbolV44a@V50V56Aais_symbol_free_var_in_fo_formulaV56V48aLeftVais_symbol_free_var_in_fo_termV44a@V49V57Aais_fo_term_free_var_in_fo_formulaV57V48aRightVV51FLarename_subst_symbolV46aidentityLarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIa=V45aForallV48FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
a=V56V44Ia=a@V54V56V44Aais_symbol_free_var_in_fo_termV56V55FLaevalV47V53LaidentityIa=V52aSomeV53FIa=V51aRightV52FICais_symbol_free_var_in_symbolV44a@V50V57Aais_symbol_free_var_in_fo_formulaV57V48aLeftVais_symbol_free_var_in_fo_termV44a@V49V58Aais_fo_term_free_var_in_fo_formulaV58V48aRightVV51FLarename_subst_symbolV46aidentityLarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIa=V45aForallV48FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
fINais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIa=V45aForallV48FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
a<asize_fo_formulaV48asize_fo_formulaV45Aa<=c0asize_fo_formulaV45Larename_subst_symbolV46aidentityLarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIa=V45aExistsV48FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
ais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48V50V49Larename_subst_symbolV46aidentityLarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIa=V45aExistsV48FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
ais_symbol_free_var_in_symbolV44arename_symbolV54V53LaevalV46V52LaidentityIa=V51aLeftV52FICais_symbol_free_var_in_symbolV44a@V50V55Aais_symbol_free_var_in_fo_formulaV55V48aLeftVais_symbol_free_var_in_fo_termV44a@V49V56Aais_fo_term_free_var_in_fo_formulaV56V48aRightVV51FLarename_subst_symbolV46aidentityLarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIa=V45aExistsV48FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
a=V55V44Ia=a@V53V55V44Aais_symbol_free_var_in_symbolV55V54FLaevalV46V52LaidentityIa=V51aLeftV52FICais_symbol_free_var_in_symbolV44a@V50V56Aais_symbol_free_var_in_fo_formulaV56V48aLeftVais_symbol_free_var_in_fo_termV44a@V49V57Aais_fo_term_free_var_in_fo_formulaV57V48aRightVV51FLarename_subst_symbolV46aidentityLarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIa=V45aExistsV48FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
fIa=V52aNoneIa=V51aRightV52FICais_symbol_free_var_in_symbolV44a@V50V53Aais_symbol_free_var_in_fo_formulaV53V48aLeftVais_symbol_free_var_in_fo_termV44a@V49V54Aais_fo_term_free_var_in_fo_formulaV54V48aRightVV51FLarename_subst_symbolV46aidentityLarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIa=V45aExistsV48FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
ais_symbol_free_var_in_fo_termV44arename_fo_termV55V54acomposeasomeaidentityLaevalV47V53LaidentityIa=V52aSomeV53FIa=V51aRightV52FICais_symbol_free_var_in_symbolV44a@V50V56Aais_symbol_free_var_in_fo_formulaV56V48aLeftVais_symbol_free_var_in_fo_termV44a@V49V57Aais_fo_term_free_var_in_fo_formulaV57V48aRightVV51FLarename_subst_symbolV46aidentityLarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIa=V45aExistsV48FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
a=V56V44Ia=a@V54V56V44Aais_symbol_free_var_in_fo_termV56V55FLaevalV47V53LaidentityIa=V52aSomeV53FIa=V51aRightV52FICais_symbol_free_var_in_symbolV44a@V50V57Aais_symbol_free_var_in_fo_formulaV57V48aLeftVais_symbol_free_var_in_fo_termV44a@V49V58Aais_fo_term_free_var_in_fo_formulaV58V48aRightVV51FLarename_subst_symbolV46aidentityLarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIa=V45aExistsV48FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
fINais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termaolifts_fo_termV47aidentityaidentityIa=V45aExistsV48FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
a<asize_fo_formulaV48asize_fo_formulaV45Aa<=c0asize_fo_formulaV45Larename_subst_symbolV46aidentityLarename_subst_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityIa=V45aAndV48V49FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
ais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48V51V50Larename_subst_symbolV46aidentityLarename_subst_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityIa=V45aAndV48V49FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
ais_symbol_free_var_in_symbolV44arename_symbolV55V54LaevalV46V53LaidentityIa=V52aLeftV53FICais_symbol_free_var_in_symbolV44a@V51V56Aais_symbol_free_var_in_fo_formulaV56V48aLeftVais_symbol_free_var_in_fo_termV44a@V50V57Aais_fo_term_free_var_in_fo_formulaV57V48aRightVV52FLarename_subst_symbolV46aidentityLarename_subst_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityIa=V45aAndV48V49FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
a=V56V44Ia=a@V54V56V44Aais_symbol_free_var_in_symbolV56V55FLaevalV46V53LaidentityIa=V52aLeftV53FICais_symbol_free_var_in_symbolV44a@V51V57Aais_symbol_free_var_in_fo_formulaV57V48aLeftVais_symbol_free_var_in_fo_termV44a@V50V58Aais_fo_term_free_var_in_fo_formulaV58V48aRightVV52FLarename_subst_symbolV46aidentityLarename_subst_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityIa=V45aAndV48V49FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
ais_symbol_free_var_in_fo_termV44arename_fo_termV55V54aidentityLaevalV47V53LaidentityIa=V52aRightV53FICais_symbol_free_var_in_symbolV44a@V51V56Aais_symbol_free_var_in_fo_formulaV56V48aLeftVais_symbol_free_var_in_fo_termV44a@V50V57Aais_fo_term_free_var_in_fo_formulaV57V48aRightVV52FLarename_subst_symbolV46aidentityLarename_subst_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityIa=V45aAndV48V49FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
a=V56V44Ia=a@V54V56V44Aais_symbol_free_var_in_fo_termV56V55FLaevalV47V53LaidentityIa=V52aRightV53FICais_symbol_free_var_in_symbolV44a@V51V57Aais_symbol_free_var_in_fo_formulaV57V48aLeftVais_symbol_free_var_in_fo_termV44a@V50V58Aais_fo_term_free_var_in_fo_formulaV58V48aRightVV52FLarename_subst_symbolV46aidentityLarename_subst_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityIa=V45aAndV48V49FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
a<asize_fo_formulaV49asize_fo_formulaV45Aa<=c0asize_fo_formulaV45Larename_subst_symbolV46aidentityLarename_subst_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV49arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityINais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityIa=V45aAndV48V49FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
ais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV49V51V50Larename_subst_symbolV46aidentityLarename_subst_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV49arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityINais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityIa=V45aAndV48V49FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
ais_symbol_free_var_in_symbolV44arename_symbolV55V54LaevalV46V53LaidentityIa=V52aLeftV53FICais_symbol_free_var_in_symbolV44a@V51V56Aais_symbol_free_var_in_fo_formulaV56V49aLeftVais_symbol_free_var_in_fo_termV44a@V50V57Aais_fo_term_free_var_in_fo_formulaV57V49aRightVV52FLarename_subst_symbolV46aidentityLarename_subst_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV49arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityINais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityIa=V45aAndV48V49FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
a=V56V44Ia=a@V54V56V44Aais_symbol_free_var_in_symbolV56V55FLaevalV46V53LaidentityIa=V52aLeftV53FICais_symbol_free_var_in_symbolV44a@V51V57Aais_symbol_free_var_in_fo_formulaV57V49aLeftVais_symbol_free_var_in_fo_termV44a@V50V58Aais_fo_term_free_var_in_fo_formulaV58V49aRightVV52FLarename_subst_symbolV46aidentityLarename_subst_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV49arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityINais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityIa=V45aAndV48V49FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
ais_symbol_free_var_in_fo_termV44arename_fo_termV55V54aidentityLaevalV47V53LaidentityIa=V52aRightV53FICais_symbol_free_var_in_symbolV44a@V51V56Aais_symbol_free_var_in_fo_formulaV56V49aLeftVais_symbol_free_var_in_fo_termV44a@V50V57Aais_fo_term_free_var_in_fo_formulaV57V49aRightVV52FLarename_subst_symbolV46aidentityLarename_subst_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV49arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityINais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityIa=V45aAndV48V49FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
a=V56V44Ia=a@V54V56V44Aais_symbol_free_var_in_fo_termV56V55FLaevalV47V53LaidentityIa=V52aRightV53FICais_symbol_free_var_in_symbolV44a@V51V57Aais_symbol_free_var_in_fo_formulaV57V49aLeftVais_symbol_free_var_in_fo_termV44a@V50V58Aais_fo_term_free_var_in_fo_formulaV58V49aRightVV52FLarename_subst_symbolV46aidentityLarename_subst_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV49arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityINais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityIa=V45aAndV48V49FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
fINais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV49arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityINais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityIa=V45aAndV48V49FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
a<asize_fo_formulaV48asize_fo_formulaV45Aa<=c0asize_fo_formulaV45Larename_subst_symbolV46aidentityLarename_subst_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityIa=V45aOrV48V49FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
ais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48V51V50Larename_subst_symbolV46aidentityLarename_subst_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityIa=V45aOrV48V49FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
ais_symbol_free_var_in_symbolV44arename_symbolV55V54LaevalV46V53LaidentityIa=V52aLeftV53FICais_symbol_free_var_in_symbolV44a@V51V56Aais_symbol_free_var_in_fo_formulaV56V48aLeftVais_symbol_free_var_in_fo_termV44a@V50V57Aais_fo_term_free_var_in_fo_formulaV57V48aRightVV52FLarename_subst_symbolV46aidentityLarename_subst_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityIa=V45aOrV48V49FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
a=V56V44Ia=a@V54V56V44Aais_symbol_free_var_in_symbolV56V55FLaevalV46V53LaidentityIa=V52aLeftV53FICais_symbol_free_var_in_symbolV44a@V51V57Aais_symbol_free_var_in_fo_formulaV57V48aLeftVais_symbol_free_var_in_fo_termV44a@V50V58Aais_fo_term_free_var_in_fo_formulaV58V48aRightVV52FLarename_subst_symbolV46aidentityLarename_subst_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityIa=V45aOrV48V49FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
ais_symbol_free_var_in_fo_termV44arename_fo_termV55V54aidentityLaevalV47V53LaidentityIa=V52aRightV53FICais_symbol_free_var_in_symbolV44a@V51V56Aais_symbol_free_var_in_fo_formulaV56V48aLeftVais_symbol_free_var_in_fo_termV44a@V50V57Aais_fo_term_free_var_in_fo_formulaV57V48aRightVV52FLarename_subst_symbolV46aidentityLarename_subst_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityIa=V45aOrV48V49FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
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a<asize_fo_formulaV49asize_fo_formulaV45Aa<=c0asize_fo_formulaV45Larename_subst_symbolV46aidentityLarename_subst_fo_termV47aidentityaidentityIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV49arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityINais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV48arename_subst_symbolV46aidentityarename_subst_fo_termV47aidentityaidentityIa=V45aOrV48V49FIais_symbol_free_var_in_fo_formulaV44asubst_fo_formulaV45V46V47F
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VC for subst_free_var_constructive_inversion_symbol_fo_formula
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VC for subst_free_var_inversion_symbol_fo_formula
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VC for subst_free_var_constructive_inversion_fo_term_fo_formula
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VC for subst_free_var_inversion_fo_term_fo_formula
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a<asize_fo_formulaV60asize_fo_formulaV57Aa<=c0asize_fo_formulaV57Larename_subst_symbolV58aidentityIa=V57aOrV60V61FF
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VC for subst_free_var_propagation_symbol_symbol_fo_formula
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VC for subst_free_var_propagation_fo_term_symbol_fo_formula
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ais_fo_term_free_var_in_fo_formulaV76V70Iais_fo_term_free_var_in_fo_formulaV76V75FIais_symbol_free_var_in_fo_formulaV77V70Iais_symbol_free_var_in_fo_formulaV77V75FIa=V70aNotV75FIa=a@V73V78a@V74V78Iais_fo_term_free_var_in_fo_formulaV78V70FAa=a@V71V79a@V72V79Iais_symbol_free_var_in_fo_formulaV79V70FF
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a=a@V78V79a@V77V79Iais_symbol_free_var_in_symbolV79V75FLarename_subst_symbolV71aidentityLarename_subst_symbolV72aidentityIais_symbol_free_var_in_fo_formulaV80V70Iais_symbol_free_var_in_symbolV80V75FIa=V70aPAppV75V76FIa=a@V73V81a@V74V81Iais_fo_term_free_var_in_fo_formulaV81V70FAa=a@V71V82a@V72V82Iais_symbol_free_var_in_fo_formulaV82V70FF
ais_symbol_free_var_in_fo_formulaV79V70Iais_symbol_free_var_in_fo_term_listV79V76FIa=asubst_symbolV75V78asubst_symbolV75V77Larename_subst_symbolV71aidentityLarename_subst_symbolV72aidentityIais_symbol_free_var_in_fo_formulaV80V70Iais_symbol_free_var_in_symbolV80V75FIa=V70aPAppV75V76FIa=a@V73V81a@V74V81Iais_fo_term_free_var_in_fo_formulaV81V70FAa=a@V71V82a@V72V82Iais_symbol_free_var_in_fo_formulaV82V70FF
ais_fo_term_free_var_in_fo_formulaV79V70Iais_fo_term_free_var_in_fo_term_listV79V76FIais_symbol_free_var_in_fo_formulaV80V70Iais_symbol_free_var_in_fo_term_listV80V76FIa=asubst_symbolV75V78asubst_symbolV75V77Larename_subst_symbolV71aidentityLarename_subst_symbolV72aidentityIais_symbol_free_var_in_fo_formulaV81V70Iais_symbol_free_var_in_symbolV81V75FIa=V70aPAppV75V76FIa=a@V73V82a@V74V82Iais_fo_term_free_var_in_fo_formulaV82V70FAa=a@V71V83a@V72V83Iais_symbol_free_var_in_fo_formulaV83V70FF
a=a@arename_subst_symbolV71aidentityV79a@arename_subst_symbolV72aidentityV79Iais_symbol_free_var_in_fo_term_listV79V76FIais_fo_term_free_var_in_fo_formulaV80V70Iais_fo_term_free_var_in_fo_term_listV80V76FIais_symbol_free_var_in_fo_formulaV81V70Iais_symbol_free_var_in_fo_term_listV81V76FIa=asubst_symbolV75V78asubst_symbolV75V77Larename_subst_symbolV71aidentityLarename_subst_symbolV72aidentityIais_symbol_free_var_in_fo_formulaV82V70Iais_symbol_free_var_in_symbolV82V75FIa=V70aPAppV75V76FIa=a@V73V83a@V74V83Iais_fo_term_free_var_in_fo_formulaV83V70FAa=a@V71V84a@V72V84Iais_symbol_free_var_in_fo_formulaV84V70FF
a=a@arename_subst_fo_termV73aidentityaidentityV79a@arename_subst_fo_termV74aidentityaidentityV79Iais_fo_term_free_var_in_fo_term_listV79V76FIa=a@arename_subst_symbolV71aidentityV80a@arename_subst_symbolV72aidentityV80Iais_symbol_free_var_in_fo_term_listV80V76FIais_fo_term_free_var_in_fo_formulaV81V70Iais_fo_term_free_var_in_fo_term_listV81V76FIais_symbol_free_var_in_fo_formulaV82V70Iais_symbol_free_var_in_fo_term_listV82V76FIa=asubst_symbolV75V78asubst_symbolV75V77Larename_subst_symbolV71aidentityLarename_subst_symbolV72aidentityIais_symbol_free_var_in_fo_formulaV83V70Iais_symbol_free_var_in_symbolV83V75FIa=V70aPAppV75V76FIa=a@V73V84a@V74V84Iais_fo_term_free_var_in_fo_formulaV84V70FAa=a@V71V85a@V72V85Iais_symbol_free_var_in_fo_formulaV85V70FF
a=asubst_fo_formulaV70V71V73asubst_fo_formulaV70V72V74ICa=asubst_fo_formulaV75arename_subst_symbolV71aidentityarename_subst_fo_termaolifts_fo_termV73aidentityaidentityasubst_fo_formulaV75arename_subst_symbolV72aidentityarename_subst_fo_termaolifts_fo_termV74aidentityaidentityACtaNoneais_fo_term_free_var_in_fo_formulaV77V70aSomeVV76Iais_fo_term_free_var_in_fo_formulaV76V75FAais_symbol_free_var_in_fo_formulaV78V70Iais_symbol_free_var_in_fo_formulaV78V75FaForallVa=asubst_fo_formulaV79arename_subst_symbolV71aidentityarename_subst_fo_termaolifts_fo_termV73aidentityaidentityasubst_fo_formulaV79arename_subst_symbolV72aidentityarename_subst_fo_termaolifts_fo_termV74aidentityaidentityACtaNoneais_fo_term_free_var_in_fo_formulaV81V70aSomeVV80Iais_fo_term_free_var_in_fo_formulaV80V79FAais_symbol_free_var_in_fo_formulaV82V70Iais_symbol_free_var_in_fo_formulaV82V79FaExistsVa=asubst_fo_formulaV84arename_subst_symbolV71aidentityarename_subst_fo_termV73aidentityaidentityasubst_fo_formulaV84arename_subst_symbolV72aidentityarename_subst_fo_term
VC for free_var_equivalence_of_subst_fo_formula
a=asubst_fo_formulaV70V71V73asubst_fo_formulaV70V72V74Ia=a@V73V75a@V74V75Iais_fo_term_free_var_in_fo_formulaV75V70FIa=a@V71V76a@V72V76Iais_symbol_free_var_in_fo_formulaV76V70FF
a=arename_fo_formulaV77V78V80arename_fo_formulaV77V79V81Ia=asubst_fo_formulaV77V85V83asubst_fo_formulaV77V84V82Aa=a@V83V86a@V82V86Iais_fo_term_free_var_in_fo_formulaV86V77FAa=a@V85V87a@V84V87Iais_symbol_free_var_in_fo_formulaV87V77FLasubst_of_rename_symbolV78Lasubst_of_rename_symbolV79Lasubst_of_rename_fo_termV80Lasubst_of_rename_fo_termV81Ia=a@V80V88a@V81V88Iais_fo_term_free_var_in_fo_formulaV88V77FAa=a@V78V89a@V79V89Iais_symbol_free_var_in_fo_formulaV89V77FF
VC for free_var_equivalence_of_rename_fo_formula
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a<asize_fo_formulaV89asize_fo_formulaV84Aa<=c0asize_fo_formulaV84Larename_subst_symbolV85aidentityLarename_subst_symbolV86aidentityLarename_subst_fo_termaolifts_fo_termV87aidentityaidentityLarename_subst_fo_termaolifts_fo_termV88aidentityaidentityIa=V84aForallV89FIa=asubst_fo_formulaV84V85V87asubst_fo_formulaV84V86V88F
a=asubst_fo_formulaV89V93V91asubst_fo_formulaV89V92V90Larename_subst_symbolV85aidentityLarename_subst_symbolV86aidentityLarename_subst_fo_termaolifts_fo_termV87aidentityaidentityLarename_subst_fo_termaolifts_fo_termV88aidentityaidentityIa=V84aForallV89FIa=asubst_fo_formulaV84V85V87asubst_fo_formulaV84V86V88F
a=a@V85V94a@V86V94Iais_symbol_free_var_in_fo_formulaV94V89FAa=a@V85V95a@V86V95Aa=arename_symbolarename_symbola@V86V95aidentityaidentitya@V86V95Aa=arename_symbolarename_symbola@V85V95aidentityaidentityarename_symbolarename_symbola@V86V95aidentityaidentityAa=a@V85V95arename_symbolarename_symbola@V85V95aidentityaidentityAa=aevalarename_subst_symbolV86aidentityV95arename_symbola@V86V95aidentityAa=aevalarename_subst_symbolV85aidentityV95aevalarename_subst_symbolV86aidentityV95Aa=arename_symbola@V85V95aidentityaevalarename_subst_symbolV85aidentityV95Iais_symbol_free_var_in_fo_formulaV95V89FIa=a@V91V96a@V90V96Iais_fo_term_free_var_in_fo_formulaV96V89FAa=a@V93V97a@V92V97Iais_symbol_free_var_in_fo_formulaV97V89FLarename_subst_symbolV85aidentityLarename_subst_symbolV86aidentityLarename_subst_fo_termaolifts_fo_termV87aidentityaidentityLarename_subst_fo_termaolifts_fo_termV88aidentityaidentityIa=V84aForallV89FIa=asubst_fo_formulaV84V85V87asubst_fo_formulaV84V86V88F
a=arename_fo_terma@V87V94aidentityacomposeasomeaidentityaevalarename_subst_fo_termaolifts_fo_termV87aidentityaidentityaSomeV94Iais_fo_term_free_var_in_fo_formulaaSomeV94V89FIa=a@V85V96a@V86V96Iais_symbol_free_var_in_fo_formulaV96V89FAa=a@V85V97a@V86V97Aa=arename_symbolarename_symbola@V86V97aidentityaidentitya@V86V97Aa=arename_symbolarename_symbola@V85V97aidentityaidentityarename_symbolarename_symbola@V86V97aidentityaidentityAa=a@V85V97arename_symbolarename_symbola@V85V97aidentityaidentityAa=aevalarename_subst_symbolV86aidentityV97arename_symbola@V86V97aidentityAa=aevalarename_subst_symbolV85aidentityV97aevalarename_subst_symbolV86aidentityV97Aa=arename_symbola@V85V97aidentityaevalarename_subst_symbolV85aidentityV97Iais_symbol_free_var_in_fo_formulaV97V89FIa=a@V91V98a@V90V98Iais_fo_term_free_var_in_fo_formulaV98V89FAa=a@V93V99a@V92V99Iais_symbol_free_var_in_fo_formulaV99V89FLarename_subst_symbolV85aidentityLarename_subst_symbolV86aidentityLarename_subst_fo_termaolifts_fo_termV87aidentityaidentityLarename_subst_fo_term
VC for free_var_derive_equivalence_of_subst_fo_formula
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VC for free_var_derive_equivalence_of_rename_fo_formula

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