{res_axiomes = [(`Forall ([("x839", `Unknown);], (`Disjunction [(`Negation `True);(`Disjunction [`False;(`Predicate ("AOUT", [(`Unknown, (`Variable "x839"));]));(`Predicate ("aNullIn", [(`Unknown, (`Variable "x839"));]));(`Predicate ("AbWorld", [(`Unknown, (`Variable "x839"));]));(`Predicate ("TransferDetails", [(`Unknown, (`Variable "x839"));]));(`Predicate ("Purse", [(`Unknown, (`Variable "x839"));]));(`Predicate ("Coin", [(`Unknown, (`Variable "x839"));]));]);]))); (`Forall ([("x838", `Unknown);("x837", `Unknown);], (`Disjunction [(`Negation (`Predicate ("from", [(`Unknown, (`Variable "x838"));(`Unknown, (`Variable "x837"));])));(`Conjunction [(`Predicate ("Purse", [(`Unknown, (`Variable "x837"));]));(`Predicate ("TransferDetails", [(`Unknown, (`Variable "x838"));]));]);]))); (`Forall ([("x836", `Unknown);("x835", `Unknown);], (`Disjunction [(`Negation (`Predicate ("to", [(`Unknown, (`Variable "x836"));(`Unknown, (`Variable "x835"));])));(`Conjunction [(`Predicate ("Purse", [(`Unknown, (`Variable "x835"));]));(`Predicate ("TransferDetails", [(`Unknown, (`Variable "x836"));]));]);]))); (`Forall ([("x834", `Unknown);("x833", `Unknown);], (`Disjunction [(`Negation (`Predicate ("value", [(`Unknown, (`Variable "x834"));(`Unknown, (`Variable "x833"));])));(`Conjunction [(`Predicate ("Coin", [(`Unknown, (`Variable "x833"));]));(`Predicate ("TransferDetails", [(`Unknown, (`Variable "x834"));]));]);]))); (`Forall ([("x832", `Unknown);("x831", `Unknown);], (`Disjunction [(`Negation (`Predicate ("abAuthPurse", [(`Unknown, (`Variable "x832"));(`Unknown, (`Variable "x831"));])));(`Conjunction [(`Predicate ("AbPurse", [(`Unknown, (`Variable "x831"));]));(`Predicate ("AbWorld", [(`Unknown, (`Variable "x832"));]));]);]))); (`Forall ([("x830", `Unknown);("x829", `Unknown);("x828", `Unknown);], (`Disjunction [(`Negation (`Predicate ("abBalance", [(`Unknown, (`Variable "x830"));(`Unknown, (`Variable "x829"));(`Unknown, (`Variable "x828"));])));(`Conjunction [(`Predicate ("AbWorld", [(`Unknown, (`Variable "x828"));]));(`Predicate ("Coin", [(`Unknown, (`Variable "x829"));]));(`Predicate ("AbPurse", [(`Unknown, (`Variable "x830"));]));]);]))); (`Forall ([("x827", `Unknown);("x826", `Unknown);("x825", `Unknown);], (`Disjunction [(`Negation (`Predicate ("abLost", [(`Unknown, (`Variable "x827"));(`Unknown, (`Variable "x826"));(`Unknown, (`Variable "x825"));])));(`Conjunction [(`Predicate ("AbWorld", [(`Unknown, (`Variable "x825"));]));(`Predicate ("Coin", [(`Unknown, (`Variable "x826"));]));(`Predicate ("AbPurse", [(`Unknown, (`Variable "x827"));]));]);]))); (`Negation (`Exists ([("x824", `Unknown);], (`Conjunction [(`Disjunction [(`Disjunction [(`Disjunction [(`Disjunction [(`Predicate ("AOUT", [(`Unknown, (`Variable "x824"));]));(`Predicate ("aNullIn", [(`Unknown, (`Variable "x824"));]));]);(`Predicate ("AbWorld", [(`Unknown, (`Variable "x824"));]));]);(`Predicate ("TransferDetails", [(`Unknown, (`Variable "x824"));]));]);(`Predicate ("Purse", [(`Unknown, (`Variable "x824"));]));]);(`Predicate ("Coin", [(`Unknown, (`Variable "x824"));]));])))); (`Negation (`Exists ([("x823", `Unknown);], (`Conjunction [(`Disjunction [(`Disjunction [(`Disjunction [(`Predicate ("AOUT", [(`Unknown, (`Variable "x823"));]));(`Predicate ("aNullIn", [(`Unknown, (`Variable "x823"));]));]);(`Predicate ("AbWorld", [(`Unknown, (`Variable "x823"));]));]);(`Predicate ("TransferDetails", [(`Unknown, (`Variable "x823"));]));]);(`Predicate ("Purse", [(`Unknown, (`Variable "x823"));]));])))); (`Negation (`Exists ([("x822", `Unknown);], (`Conjunction [(`Disjunction [(`Disjunction [(`Predicate ("AOUT", [(`Unknown, (`Variable "x822"));]));(`Predicate ("aNullIn", [(`Unknown, (`Variable "x822"));]));]);(`Predicate ("AbWorld", [(`Unknown, (`Variable "x822"));]));]);(`Predicate ("TransferDetails", [(`Unknown, (`Variable "x822"));]));])))); (`Negation (`Exists ([("x821", `Unknown);], (`Conjunction [(`Disjunction [(`Predicate ("AOUT", [(`Unknown, (`Variable "x821"));]));(`Predicate ("aNullIn", [(`Unknown, (`Variable "x821"));]));]);(`Predicate ("AbWorld", [(`Unknown, (`Variable "x821"));]));])))); (`Negation (`Exists ([("x820", `Unknown);], (`Conjunction [(`Predicate ("AOUT", [(`Unknown, (`Variable "x820"));]));(`Predicate ("aNullIn", [(`Unknown, (`Variable "x820"));]));])))); (`Forall ([("x819", `Unknown);], (`Disjunction [(`Negation (`Predicate ("AOUT", [(`Unknown, (`Variable "x819"));])));(`Disjunction [`False;(`Predicate ("aNullOut", [(`Unknown, (`Variable "x819"));]));]);]))); (`Conjunction [(`Conjunction [(`Exists ([("x21", `Unknown);], (`Predicate ("aNullOut", [(`Unknown, (`Variable "x21"));]))));(`Forall ([("x19", `Unknown);("x20", `Unknown);], (`Disjunction [(`Negation (`Conjunction [(`Predicate ("aNullOut", [(`Unknown, (`Variable "x19"));]));(`Predicate ("aNullOut", [(`Unknown, (`Variable "x20"));]));]));(`Conjunction [(`Equality ((`Unknown, (`Variable "x19")), (`Unknown, (`Variable "x20"))));]);])));]);]); (`Forall ([("x18", `Unknown);], (`Disjunction [(`Negation (`Predicate ("aNullOut", [(`Unknown, (`Variable "x18"));])));(`Predicate ("AOUT", [(`Unknown, (`Variable "x18"));]));]))); (`Conjunction [(`Conjunction [(`Exists ([("x17", `Unknown);], (`Predicate ("aNullIn", [(`Unknown, (`Variable "x17"));]))));(`Forall ([("x15", `Unknown);("x16", `Unknown);], (`Disjunction [(`Negation (`Conjunction [(`Predicate ("aNullIn", [(`Unknown, (`Variable "x15"));]));(`Predicate ("aNullIn", [(`Unknown, (`Variable "x16"));]));]));(`Conjunction [(`Equality ((`Unknown, (`Variable "x15")), (`Unknown, (`Variable "x16"))));]);])));]);(`Conjunction [(`Forall ([("x14", `Unknown);], (`Disjunction [(`Negation (`Predicate ("AIN", [(`Unknown, (`Variable "x14"));])));(`Disjunction [(`Predicate ("aNullIn", [(`Unknown, (`Variable "x14"));]));(`Predicate ("TransferDetails", [(`Unknown, (`Variable "x14"));]));]);])));(`Forall ([("x13", `Unknown);], (`Disjunction [(`Negation (`Disjunction [(`Predicate ("aNullIn", [(`Unknown, (`Variable "x13"));]));(`Predicate ("TransferDetails", [(`Unknown, (`Variable "x13"));]));]));(`Predicate ("AIN", [(`Unknown, (`Variable "x13"));]));])));]);]); (`Forall ([("x12", `Unknown);], (`Disjunction [(`Negation (`Predicate ("AIN", [(`Unknown, (`Variable "x12"));])));(`Disjunction [(`Predicate ("aNullIn", [(`Unknown, (`Variable "x12"));]));(`Predicate ("TransferDetails", [(`Unknown, (`Variable "x12"));]));]);]))); (`Forall ([("x11", `Unknown);], (`Disjunction [(`Negation (`Predicate ("AbPurse", [(`Unknown, (`Variable "x11"));])));(`Predicate ("Purse", [(`Unknown, (`Variable "x11"));]));]))); (`Conjunction [(`Forall ([("x8", `Unknown);], (`Disjunction [(`Negation (`Predicate ("TransferDetails", [(`Unknown, (`Variable "x8"));])));(`Forall ([("x9", `Unknown);("x10", `Unknown);], (`Disjunction [(`Negation (`Conjunction [(`Predicate ("to", [(`Unknown, (`Variable "x8"));(`Unknown, (`Variable "x9"));]));(`Predicate ("to", [(`Unknown, (`Variable "x8"));(`Unknown, (`Variable "x10"));]));]));(`Conjunction [(`Equality ((`Unknown, (`Variable "x9")), (`Unknown, (`Variable "x10"))));]);])));])));(`Forall ([("x6", `Unknown);], (`Disjunction [(`Negation (`Predicate ("TransferDetails", [(`Unknown, (`Variable "x6"));])));(`Exists ([("x7", `Unknown);], (`Predicate ("to", [(`Unknown, (`Variable "x6"));(`Unknown, (`Variable "x7"));]))));])));]); (`Conjunction [(`Forall ([("x3", `Unknown);], (`Disjunction [(`Negation (`Predicate ("TransferDetails", [(`Unknown, (`Variable "x3"));])));(`Forall ([("x4", `Unknown);("x5", `Unknown);], (`Disjunction [(`Negation (`Conjunction [(`Predicate ("from", [(`Unknown, (`Variable "x3"));(`Unknown, (`Variable "x4"));]));(`Predicate ("from", [(`Unknown, (`Variable "x3"));(`Unknown, (`Variable "x5"));]));]));(`Conjunction [(`Equality ((`Unknown, (`Variable "x4")), (`Unknown, (`Variable "x5"))));]);])));])));(`Forall ([("x1", `Unknown);], (`Disjunction [(`Negation (`Predicate ("TransferDetails", [(`Unknown, (`Variable "x1"));])));(`Exists ([("x2", `Unknown);], (`Predicate ("from", [(`Unknown, (`Variable "x1"));(`Unknown, (`Variable "x2"));]))));])));]); ]; res_theoremes = [("AbTransfer_inv",(`Conjunction [(`Forall ([("a", `Unknown);("a'", `Unknown);("a_in", `Unknown);("a_out", `Unknown);], (`Disjunction [(`Negation (`Conjunction [(`Predicate ("AbWorld", [(`Unknown, (`Variable "a"));]));(`Predicate ("AbWorld", [(`Unknown, (`Variable "a'"));]));(`Predicate ("AIN", [(`Unknown, (`Variable "a_in"));]));(`Predicate ("AOUT", [(`Unknown, (`Variable "a_out"));]));]));(`Disjunction [(`Negation (`Conjunction [(`Conjunction [(`Negation (`Exists ([("x818", `Unknown);], (`Conjunction [(`Exists ([("x817", `Unknown);], (`Conjunction [(`Exists ([("x816", `Unknown);], (`Conjunction [(`Exists ([("x815", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x815")), (`Unknown, (`Variable "a"))));(`Predicate ("abAuthPurse", [(`Unknown, (`Variable "x815"));(`Unknown, (`Variable "x816"));]));])));(`Predicate ("abBalance", [(`Unknown, (`Variable "x816"));(`Unknown, (`Variable "x818"));(`Unknown, (`Variable "x817"));]));])));(`Equality ((`Unknown, (`Variable "x817")), (`Unknown, (`Variable "a"))));])));(`Exists ([("x814", `Unknown);], (`Conjunction [(`Exists ([("x813", `Unknown);], (`Conjunction [(`Exists ([("x812", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x812")), (`Unknown, (`Variable "a"))));(`Predicate ("abAuthPurse", [(`Unknown, (`Variable "x812"));(`Unknown, (`Variable "x813"));]));])));(`Predicate ("abLost", [(`Unknown, (`Variable "x813"));(`Unknown, (`Variable "x818"));(`Unknown, (`Variable "x814"));]));])));(`Equality ((`Unknown, (`Variable "x814")), (`Unknown, (`Variable "a"))));])));]))));(`Forall ([("c", `Unknown);], (`Disjunction [(`Negation (`Conjunction [(`Predicate ("Coin", [(`Unknown, (`Variable "c"));]));]));(`Forall ([("x808", `Unknown);("x809", `Unknown);], (`Disjunction [(`Negation (`Conjunction [(`Conjunction [(`Exists ([("x807", `Unknown);], (`Conjunction [(`Exists ([("x811", `Unknown);], (`Conjunction [(`Disjunction [(`Predicate ("abBalance", [(`Unknown, (`Variable "x808"));(`Unknown, (`Variable "x807"));(`Unknown, (`Variable "x811"));]));(`Predicate ("abLost", [(`Unknown, (`Variable "x808"));(`Unknown, (`Variable "x807"));(`Unknown, (`Variable "x811"));]));]);(`Equality ((`Unknown, (`Variable "x811")), (`Unknown, (`Variable "a"))));])));(`Equality ((`Unknown, (`Variable "x807")), (`Unknown, (`Variable "c"))));])));(`Exists ([("x805", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x805")), (`Unknown, (`Variable "a"))));(`Predicate ("abAuthPurse", [(`Unknown, (`Variable "x805"));(`Unknown, (`Variable "x808"));]));])));]);(`Conjunction [(`Exists ([("x807", `Unknown);], (`Conjunction [(`Exists ([("x810", `Unknown);], (`Conjunction [(`Disjunction [(`Predicate ("abBalance", [(`Unknown, (`Variable "x809"));(`Unknown, (`Variable "x807"));(`Unknown, (`Variable "x810"));]));(`Predicate ("abLost", [(`Unknown, (`Variable "x809"));(`Unknown, (`Variable "x807"));(`Unknown, (`Variable "x810"));]));]);(`Equality ((`Unknown, (`Variable "x810")), (`Unknown, (`Variable "a"))));])));(`Equality ((`Unknown, (`Variable "x807")), (`Unknown, (`Variable "c"))));])));(`Exists ([("x805", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x805")), (`Unknown, (`Variable "a"))));(`Predicate ("abAuthPurse", [(`Unknown, (`Variable "x805"));(`Unknown, (`Variable "x809"));]));])));]);]));(`Conjunction [(`Equality ((`Unknown, (`Variable "x808")), (`Unknown, (`Variable "x809"))));]);])));])));]);(`Conjunction [(`Disjunction [(`Conjunction [(`Conjunction [(`Conjunction [(`Conjunction [(`Forall ([("x804", `Unknown);], (`Disjunction [(`Negation (`Equality ((`Unknown, (`Variable "x804")), (`Unknown, (`Variable "a_out")))));(`Predicate ("aNullOut", [(`Unknown, (`Variable "x804"));]));])));(`Forall ([("x803", `Unknown);], (`Disjunction [(`Negation (`Predicate ("aNullOut", [(`Unknown, (`Variable "x803"));])));(`Equality ((`Unknown, (`Variable "x803")), (`Unknown, (`Variable "a_out"))));])));]);]);(`Forall ([("x802", `Unknown);], (`Disjunction [(`Negation (`Equality ((`Unknown, (`Variable "x802")), (`Unknown, (`Variable "a_in")))));(`Predicate ("TransferDetails", [(`Unknown, (`Variable "x802"));]));])));(`Conjunction [(`Forall ([("x801", `Unknown);], (`Disjunction [(`Negation (`Conjunction [(`Conjunction [(`Exists ([("x799", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x799")), (`Unknown, (`Variable "a"))));(`Predicate ("abAuthPurse", [(`Unknown, (`Variable "x799"));(`Unknown, (`Variable "x801"));]));])));(`Negation (`Exists ([("x798", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x798")), (`Unknown, (`Variable "a_in"))));(`Predicate ("from", [(`Unknown, (`Variable "x798"));(`Unknown, (`Variable "x801"));]));]))));]);(`Negation (`Exists ([("x797", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x797")), (`Unknown, (`Variable "a_in"))));(`Predicate ("to", [(`Unknown, (`Variable "x797"));(`Unknown, (`Variable "x801"));]));]))));]));(`Conjunction [(`Conjunction [(`Exists ([("x796", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x796")), (`Unknown, (`Variable "a'"))));(`Predicate ("abAuthPurse", [(`Unknown, (`Variable "x796"));(`Unknown, (`Variable "x801"));]));])));(`Negation (`Exists ([("x795", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x795")), (`Unknown, (`Variable "a_in"))));(`Predicate ("from", [(`Unknown, (`Variable "x795"));(`Unknown, (`Variable "x801"));]));]))));]);(`Negation (`Exists ([("x794", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x794")), (`Unknown, (`Variable "a_in"))));(`Predicate ("to", [(`Unknown, (`Variable "x794"));(`Unknown, (`Variable "x801"));]));]))));]);])));(`Forall ([("x800", `Unknown);], (`Disjunction [(`Negation (`Conjunction [(`Conjunction [(`Exists ([("x796", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x796")), (`Unknown, (`Variable "a'"))));(`Predicate ("abAuthPurse", [(`Unknown, (`Variable "x796"));(`Unknown, (`Variable "x800"));]));])));(`Negation (`Exists ([("x795", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x795")), (`Unknown, (`Variable "a_in"))));(`Predicate ("from", [(`Unknown, (`Variable "x795"));(`Unknown, (`Variable "x800"));]));]))));]);(`Negation (`Exists ([("x794", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x794")), (`Unknown, (`Variable "a_in"))));(`Predicate ("to", [(`Unknown, (`Variable "x794"));(`Unknown, (`Variable "x800"));]));]))));]));(`Conjunction [(`Conjunction [(`Exists ([("x799", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x799")), (`Unknown, (`Variable "a"))));(`Predicate ("abAuthPurse", [(`Unknown, (`Variable "x799"));(`Unknown, (`Variable "x800"));]));])));(`Negation (`Exists ([("x798", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x798")), (`Unknown, (`Variable "a_in"))));(`Predicate ("from", [(`Unknown, (`Variable "x798"));(`Unknown, (`Variable "x800"));]));]))));]);(`Negation (`Exists ([("x797", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x797")), (`Unknown, (`Variable "a_in"))));(`Predicate ("to", [(`Unknown, (`Variable "x797"));(`Unknown, (`Variable "x800"));]));]))));]);])));]);(`Conjunction [(`Conjunction [(`Forall ([("x793", `Unknown);("x790", `Unknown);], (`Disjunction [(`Negation (`Conjunction [(`Conjunction [(`Conjunction [(`Exists ([("x773", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x773")), (`Unknown, (`Variable "a"))));(`Predicate ("abAuthPurse", [(`Unknown, (`Variable "x773"));(`Unknown, (`Variable "x790"));]));])));(`Negation (`Exists ([("x772", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x772")), (`Unknown, (`Variable "a_in"))));(`Predicate ("from", [(`Unknown, (`Variable "x772"));(`Unknown, (`Variable "x790"));]));]))));]);(`Negation (`Exists ([("x771", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x771")), (`Unknown, (`Variable "a_in"))));(`Predicate ("to", [(`Unknown, (`Variable "x771"));(`Unknown, (`Variable "x790"));]));]))));]);(`Exists ([("x792", `Unknown);], (`Conjunction [(`Predicate ("abBalance", [(`Unknown, (`Variable "x790"));(`Unknown, (`Variable "x793"));(`Unknown, (`Variable "x792"));]));(`Equality ((`Unknown, (`Variable "x792")), (`Unknown, (`Variable "a"))));])));]));(`Conjunction [(`Conjunction [(`Conjunction [(`Exists ([("x773", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x773")), (`Unknown, (`Variable "a"))));(`Predicate ("abAuthPurse", [(`Unknown, (`Variable "x773"));(`Unknown, (`Variable "x790"));]));])));(`Negation (`Exists ([("x772", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x772")), (`Unknown, (`Variable "a_in"))));(`Predicate ("from", [(`Unknown, (`Variable "x772"));(`Unknown, (`Variable "x790"));]));]))));]);(`Negation (`Exists ([("x771", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x771")), (`Unknown, (`Variable "a_in"))));(`Predicate ("to", [(`Unknown, (`Variable "x771"));(`Unknown, (`Variable "x790"));]));]))));]);(`Exists ([("x791", `Unknown);], (`Conjunction [(`Predicate ("abBalance", [(`Unknown, (`Variable "x790"));(`Unknown, (`Variable "x793"));(`Unknown, (`Variable "x791"));]));(`Equality ((`Unknown, (`Variable "x791")), (`Unknown, (`Variable "a'"))));])));]);])));(`Forall ([("x789", `Unknown);("x786", `Unknown);], (`Disjunction [(`Negation (`Conjunction [(`Conjunction [(`Conjunction [(`Exists ([("x773", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x773")), (`Unknown, (`Variable "a"))));(`Predicate ("abAuthPurse", [(`Unknown, (`Variable "x773"));(`Unknown, (`Variable "x786"));]));])));(`Negation (`Exists ([("x772", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x772")), (`Unknown, (`Variable "a_in"))));(`Predicate ("from", [(`Unknown, (`Variable "x772"));(`Unknown, (`Variable "x786"));]));]))));]);(`Negation (`Exists ([("x771", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x771")), (`Unknown, (`Variable "a_in"))));(`Predicate ("to", [(`Unknown, (`Variable "x771"));(`Unknown, (`Variable "x786"));]));]))));]);(`Exists ([("x788", `Unknown);], (`Conjunction [(`Predicate ("abBalance", [(`Unknown, (`Variable "x786"));(`Unknown, (`Variable "x789"));(`Unknown, (`Variable "x788"));]));(`Equality ((`Unknown, (`Variable "x788")), (`Unknown, (`Variable "a'"))));])));]));(`Conjunction [(`Conjunction [(`Conjunction [(`Exists ([("x773", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x773")), (`Unknown, (`Variable "a"))));(`Predicate ("abAuthPurse", [(`Unknown, (`Variable "x773"));(`Unknown, (`Variable "x786"));]));])));(`Negation (`Exists ([("x772", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x772")), (`Unknown, (`Variable "a_in"))));(`Predicate ("from", [(`Unknown, (`Variable "x772"));(`Unknown, (`Variable "x786"));]));]))));]);(`Negation (`Exists ([("x771", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x771")), (`Unknown, (`Variable "a_in"))));(`Predicate ("to", [(`Unknown, (`Variable "x771"));(`Unknown, (`Variable "x786"));]));]))));]);(`Exists ([("x787", `Unknown);], (`Conjunction [(`Predicate ("abBalance", [(`Unknown, (`Variable "x786"));(`Unknown, (`Variable "x789"));(`Unknown, (`Variable "x787"));]));(`Equality ((`Unknown, (`Variable "x787")), (`Unknown, (`Variable "a"))));])));]);])));]);(`Conjunction [(`Forall ([("x783", `Unknown);("x780", `Unknown);], (`Disjunction [(`Negation (`Conjunction [(`Conjunction [(`Conjunction [(`Exists ([("x773", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x773")), (`Unknown, (`Variable "a"))));(`Predicate ("abAuthPurse", [(`Unknown, (`Variable "x773"));(`Unknown, (`Variable "x780"));]));])));(`Negation (`Exists ([("x772", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x772")), (`Unknown, (`Variable "a_in"))));(`Predicate ("from", [(`Unknown, (`Variable "x772"));(`Unknown, (`Variable "x780"));]));]))));]);(`Negation (`Exists ([("x771", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x771")), (`Unknown, (`Variable "a_in"))));(`Predicate ("to", [(`Unknown, (`Variable "x771"));(`Unknown, (`Variable "x780"));]));]))));]);(`Exists ([("x782", `Unknown);], (`Conjunction [(`Predicate ("abLost", [(`Unknown, (`Variable "x780"));(`Unknown, (`Variable "x783"));(`Unknown, (`Variable "x782"));]));(`Equality ((`Unknown, (`Variable "x782")), (`Unknown, (`Variable "a"))));])));]));(`Conjunction [(`Conjunction [(`Conjunction [(`Exists ([("x773", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x773")), (`Unknown, (`Variable "a"))));(`Predicate ("abAuthPurse", [(`Unknown, (`Variable "x773"));(`Unknown, (`Variable "x780"));]));])));(`Negation (`Exists ([("x772", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x772")), (`Unknown, (`Variable "a_in"))));(`Predicate ("from", [(`Unknown, (`Variable "x772"));(`Unknown, (`Variable "x780"));]));]))));]);(`Negation (`Exists ([("x771", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x771")), (`Unknown, (`Variable "a_in"))));(`Predicate ("to", [(`Unknown, (`Variable "x771"));(`Unknown, (`Variable "x780"));]));]))));]);(`Exists ([("x781", `Unknown);], (`Conjunction [(`Predicate ("abLost", [(`Unknown, (`Variable "x780"));(`Unknown, (`Variable "x783"));(`Unknown, (`Variable "x781"));]));(`Equality ((`Unknown, (`Variable "x781")), (`Unknown, (`Variable "a'"))));])));]);])));(`Forall ([("x779", `Unknown);("x776", `Unknown);], (`Disjunction [(`Negation (`Conjunction [(`Conjunction [(`Conjunction [(`Exists ([("x773", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x773")), (`Unknown, (`Variable "a"))));(`Predicate ("abAuthPurse", [(`Unknown, (`Variable "x773"));(`Unknown, (`Variable "x776"));]));])));(`Negation (`Exists ([("x772", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x772")), (`Unknown, (`Variable "a_in"))));(`Predicate ("from", [(`Unknown, (`Variable "x772"));(`Unknown, (`Variable "x776"));]));]))));]);(`Negation (`Exists ([("x771", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x771")), (`Unknown, (`Variable "a_in"))));(`Predicate ("to", [(`Unknown, (`Variable "x771"));(`Unknown, (`Variable "x776"));]));]))));]);(`Exists ([("x778", `Unknown);], (`Conjunction [(`Predicate ("abLost", [(`Unknown, (`Variable "x776"));(`Unknown, (`Variable "x779"));(`Unknown, (`Variable "x778"));]));(`Equality ((`Unknown, (`Variable "x778")), (`Unknown, (`Variable "a'"))));])));]));(`Conjunction [(`Conjunction [(`Conjunction [(`Exists ([("x773", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x773")), (`Unknown, (`Variable "a"))));(`Predicate ("abAuthPurse", [(`Unknown, (`Variable "x773"));(`Unknown, (`Variable "x776"));]));])));(`Negation (`Exists ([("x772", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x772")), (`Unknown, (`Variable "a_in"))));(`Predicate ("from", [(`Unknown, (`Variable "x772"));(`Unknown, (`Variable "x776"));]));]))));]);(`Negation (`Exists ([("x771", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x771")), (`Unknown, (`Variable "a_in"))));(`Predicate ("to", [(`Unknown, (`Variable "x771"));(`Unknown, (`Variable "x776"));]));]))));]);(`Exists ([("x777", `Unknown);], (`Conjunction [(`Predicate ("abLost", [(`Unknown, (`Variable "x776"));(`Unknown, (`Variable "x779"));(`Unknown, (`Variable "x777"));]));(`Equality ((`Unknown, (`Variable "x777")), (`Unknown, (`Variable "a"))));])));]);])));]);]);]);(`Conjunction [(`Forall ([("x770", `Unknown);], (`Disjunction [(`Negation (`Exists ([("x768", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x768")), (`Unknown, (`Variable "a_in"))));(`Predicate ("from", [(`Unknown, (`Variable "x768"));(`Unknown, (`Variable "x770"));]));]))));(`Exists ([("x769", `Unknown);], (`Conjunction [(`Equality ((`Unknown, (`Variable "x769")), 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