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Diffstat (limited to 'test/golden/replace/generating tasks.golden')
| -rw-r--r-- | test/golden/replace/generating tasks.golden | 1378 |
1 files changed, 1378 insertions, 0 deletions
diff --git a/test/golden/replace/generating tasks.golden b/test/golden/replace/generating tasks.golden new file mode 100644 index 0000000..2d8fc5d --- /dev/null +++ b/test/golden/replace/generating tasks.golden @@ -0,0 +1,1378 @@ +[ Task + { taskDirectness = Direct + , taskHypotheses = + [ + ( Marker "unit" + , Quantified Universally + ( Scope + ( Connected Equivalence + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "any" ) + ) + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "unit" ) + ] + ) [] + ] + ) + ( Connected Disjunction + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "any" ) + ) + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "emptyset" ) + ] + ) [] + ] + ) + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Symbol "=" ) + ) + ) + [ TermVar + ( B + ( NamedVar "any" ) + ) + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "emptyset" ) + ] + ) [] + ] + ) + ) + ) + ) + ) + , + ( Marker "times" + , Quantified Universally + ( Scope + ( Quantified Universally + ( Scope + ( Connected Equivalence + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "frv" ) + ) + , TermSymbol + ( SymbolMixfix + [ Nothing + , Just + ( Command "times" ) + , Nothing + ] + ) + [ TermVar + ( F + ( TermVar + ( B + ( NamedVar "A" ) + ) + ) + ) + , TermVar + ( F + ( TermVar + ( B + ( NamedVar "B" ) + ) + ) + ) + ] + ] + ) + ( Quantified Existentially + ( Scope + ( Connected Conjunction + ( Connected Conjunction + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "a" ) + ) + , TermVar + ( F + ( TermVar + ( F + ( TermVar + ( B + ( NamedVar "A" ) + ) + ) + ) + ) + ) + ] + ) + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "b" ) + ) + , TermVar + ( F + ( TermVar + ( F + ( TermVar + ( B + ( NamedVar "B" ) + ) + ) + ) + ) + ) + ] + ) + ) + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Symbol "=" ) + ) + ) + [ TermSymbol + ( SymbolMixfix + [ Just + ( Command "pair" ) + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + ] + ) + [ TermVar + ( B + ( NamedVar "a" ) + ) + , TermVar + ( B + ( NamedVar "b" ) + ) + ] + , TermVar + ( F + ( TermVar + ( B + ( NamedVar "frv" ) + ) + ) + ) + ] + ) + ) + ) + ) + ) + ) + ) + ) + ) + , + ( Marker "cons" + , Quantified Universally + ( Scope + ( Connected Equivalence + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "x" ) + ) + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "cons" ) + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + ] + ) + [ TermVar + ( B + ( NamedVar "y" ) + ) + , TermVar + ( B + ( NamedVar "X" ) + ) + ] + ] + ) + ( Connected Disjunction + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Symbol "=" ) + ) + ) + [ TermVar + ( B + ( NamedVar "x" ) + ) + , TermVar + ( B + ( NamedVar "y" ) + ) + ] + ) + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "x" ) + ) + , TermVar + ( B + ( NamedVar "X" ) + ) + ] + ) + ) + ) + ) + ) + ] + , taskConjectureLabel = Marker "pair_emptyset_in_times_unit" + , taskConjecture = TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermSymbol + ( SymbolMixfix + [ Just + ( Command "pair" ) + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + ] + ) + [ TermSymbol + ( SymbolMixfix + [ Just + ( Command "emptyset" ) + ] + ) [] + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "emptyset" ) + ] + ) [] + ] + , TermSymbol + ( SymbolMixfix + [ Nothing + , Just + ( Command "times" ) + , Nothing + ] + ) + [ TermSymbol + ( SymbolMixfix + [ Just + ( Command "unit" ) + ] + ) [] + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "unit" ) + ] + ) [] + ] + ] + } +, Task + { taskDirectness = Direct + , taskHypotheses = + [ + ( Marker "pair_emptyset_in_times_unit" + , TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermSymbol + ( SymbolMixfix + [ Just + ( Command "pair" ) + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + ] + ) + [ TermSymbol + ( SymbolMixfix + [ Just + ( Command "emptyset" ) + ] + ) [] + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "emptyset" ) + ] + ) [] + ] + , TermSymbol + ( SymbolMixfix + [ Nothing + , Just + ( Command "times" ) + , Nothing + ] + ) + [ TermSymbol + ( SymbolMixfix + [ Just + ( Command "unit" ) + ] + ) [] + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "unit" ) + ] + ) [] + ] + ] + ) + , + ( Marker "unit" + , Quantified Universally + ( Scope + ( Connected Equivalence + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "any" ) + ) + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "unit" ) + ] + ) [] + ] + ) + ( Connected Disjunction + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "any" ) + ) + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "emptyset" ) + ] + ) [] + ] + ) + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Symbol "=" ) + ) + ) + [ TermVar + ( B + ( NamedVar "any" ) + ) + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "emptyset" ) + ] + ) [] + ] + ) + ) + ) + ) + ) + , + ( Marker "times" + , Quantified Universally + ( Scope + ( Quantified Universally + ( Scope + ( Connected Equivalence + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "frv" ) + ) + , TermSymbol + ( SymbolMixfix + [ Nothing + , Just + ( Command "times" ) + , Nothing + ] + ) + [ TermVar + ( F + ( TermVar + ( B + ( NamedVar "A" ) + ) + ) + ) + , TermVar + ( F + ( TermVar + ( B + ( NamedVar "B" ) + ) + ) + ) + ] + ] + ) + ( Quantified Existentially + ( Scope + ( Connected Conjunction + ( Connected Conjunction + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "a" ) + ) + , TermVar + ( F + ( TermVar + ( F + ( TermVar + ( B + ( NamedVar "A" ) + ) + ) + ) + ) + ) + ] + ) + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "b" ) + ) + , TermVar + ( F + ( TermVar + ( F + ( TermVar + ( B + ( NamedVar "B" ) + ) + ) + ) + ) + ) + ] + ) + ) + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Symbol "=" ) + ) + ) + [ TermSymbol + ( SymbolMixfix + [ Just + ( Command "pair" ) + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + ] + ) + [ TermVar + ( B + ( NamedVar "a" ) + ) + , TermVar + ( B + ( NamedVar "b" ) + ) + ] + , TermVar + ( F + ( TermVar + ( B + ( NamedVar "frv" ) + ) + ) + ) + ] + ) + ) + ) + ) + ) + ) + ) + ) + ) + , + ( Marker "cons" + , Quantified Universally + ( Scope + ( Connected Equivalence + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "x" ) + ) + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "cons" ) + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + ] + ) + [ TermVar + ( B + ( NamedVar "y" ) + ) + , TermVar + ( B + ( NamedVar "X" ) + ) + ] + ] + ) + ( Connected Disjunction + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Symbol "=" ) + ) + ) + [ TermVar + ( B + ( NamedVar "x" ) + ) + , TermVar + ( B + ( NamedVar "y" ) + ) + ] + ) + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "x" ) + ) + , TermVar + ( B + ( NamedVar "X" ) + ) + ] + ) + ) + ) + ) + ) + ] + , taskConjectureLabel = Marker "suc" + , taskConjecture = Quantified Universally + ( Scope + ( Connected Implication + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( FreshVar 0 ) + ) + , TermVar + ( F + ( TermVar + ( NamedVar "a" ) + ) + ) + ] + ) + ( Quantified Universally + ( Scope + ( Connected Implication + ( Connected Conjunction + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Symbol "=" ) + ) + ) + [ TermVar + ( B + ( FreshVar 1 ) + ) + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "cons" ) + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + ] + ) + [ TermVar + ( F + ( TermVar + ( B + ( FreshVar 0 ) + ) + ) + ) + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "emptyset" ) + ] + ) [] + ] + ] + ) + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Symbol "=" ) + ) + ) + [ TermVar + ( B + ( FreshVar 2 ) + ) + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "cons" ) + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + ] + ) + [ TermVar + ( F + ( TermVar + ( B + ( FreshVar 0 ) + ) + ) + ) + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "emptyset" ) + ] + ) [] + ] + ] + ) + ) + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Symbol "=" ) + ) + ) + [ TermVar + ( B + ( FreshVar 1 ) + ) + , TermVar + ( B + ( FreshVar 2 ) + ) + ] + ) + ) + ) + ) + ) + ) + } +, Task + { taskDirectness = Direct + , taskHypotheses = + [ + ( Marker "suc" + , Quantified Universally + ( Scope + ( Connected Equivalence + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( FreshVar 1 ) + ) + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "suc" ) + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + ] + ) + [ TermVar + ( B + ( NamedVar "a" ) + ) + ] + ] + ) + ( Quantified Existentially + ( Scope + ( Connected Conjunction + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( FreshVar 0 ) + ) + , TermVar + ( F + ( TermVar + ( B + ( NamedVar "a" ) + ) + ) + ) + ] + ) + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Symbol "=" ) + ) + ) + [ TermVar + ( F + ( TermVar + ( B + ( FreshVar 1 ) + ) + ) + ) + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "cons" ) + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + ] + ) + [ TermVar + ( B + ( FreshVar 0 ) + ) + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "emptyset" ) + ] + ) [] + ] + ] + ) + ) + ) + ) + ) + ) + ) + , + ( Marker "pair_emptyset_in_times_unit" + , TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermSymbol + ( SymbolMixfix + [ Just + ( Command "pair" ) + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + ] + ) + [ TermSymbol + ( SymbolMixfix + [ Just + ( Command "emptyset" ) + ] + ) [] + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "emptyset" ) + ] + ) [] + ] + , TermSymbol + ( SymbolMixfix + [ Nothing + , Just + ( Command "times" ) + , Nothing + ] + ) + [ TermSymbol + ( SymbolMixfix + [ Just + ( Command "unit" ) + ] + ) [] + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "unit" ) + ] + ) [] + ] + ] + ) + , + ( Marker "unit" + , Quantified Universally + ( Scope + ( Connected Equivalence + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "any" ) + ) + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "unit" ) + ] + ) [] + ] + ) + ( Connected Disjunction + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "any" ) + ) + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "emptyset" ) + ] + ) [] + ] + ) + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Symbol "=" ) + ) + ) + [ TermVar + ( B + ( NamedVar "any" ) + ) + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "emptyset" ) + ] + ) [] + ] + ) + ) + ) + ) + ) + , + ( Marker "times" + , Quantified Universally + ( Scope + ( Quantified Universally + ( Scope + ( Connected Equivalence + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "frv" ) + ) + , TermSymbol + ( SymbolMixfix + [ Nothing + , Just + ( Command "times" ) + , Nothing + ] + ) + [ TermVar + ( F + ( TermVar + ( B + ( NamedVar "A" ) + ) + ) + ) + , TermVar + ( F + ( TermVar + ( B + ( NamedVar "B" ) + ) + ) + ) + ] + ] + ) + ( Quantified Existentially + ( Scope + ( Connected Conjunction + ( Connected Conjunction + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "a" ) + ) + , TermVar + ( F + ( TermVar + ( F + ( TermVar + ( B + ( NamedVar "A" ) + ) + ) + ) + ) + ) + ] + ) + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "b" ) + ) + , TermVar + ( F + ( TermVar + ( F + ( TermVar + ( B + ( NamedVar "B" ) + ) + ) + ) + ) + ) + ] + ) + ) + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Symbol "=" ) + ) + ) + [ TermSymbol + ( SymbolMixfix + [ Just + ( Command "pair" ) + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + ] + ) + [ TermVar + ( B + ( NamedVar "a" ) + ) + , TermVar + ( B + ( NamedVar "b" ) + ) + ] + , TermVar + ( F + ( TermVar + ( B + ( NamedVar "frv" ) + ) + ) + ) + ] + ) + ) + ) + ) + ) + ) + ) + ) + ) + , + ( Marker "cons" + , Quantified Universally + ( Scope + ( Connected Equivalence + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "x" ) + ) + , TermSymbol + ( SymbolMixfix + [ Just + ( Command "cons" ) + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + ] + ) + [ TermVar + ( B + ( NamedVar "y" ) + ) + , TermVar + ( B + ( NamedVar "X" ) + ) + ] + ] + ) + ( Connected Disjunction + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Symbol "=" ) + ) + ) + [ TermVar + ( B + ( NamedVar "x" ) + ) + , TermVar + ( B + ( NamedVar "y" ) + ) + ] + ) + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "x" ) + ) + , TermVar + ( B + ( NamedVar "X" ) + ) + ] + ) + ) + ) + ) + ) + ] + , taskConjectureLabel = Marker "times_replacement_test" + , taskConjecture = Quantified Universally + ( Scope + ( Connected Equivalence + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "frv" ) + ) + , TermSymbol + ( SymbolMixfix + [ Nothing + , Just + ( Command "times" ) + , Nothing + ] + ) + [ TermVar + ( F + ( TermVar + ( NamedVar "A" ) + ) + ) + , TermVar + ( F + ( TermVar + ( NamedVar "B" ) + ) + ) + ] + ] + ) + ( Quantified Existentially + ( Scope + ( Connected Conjunction + ( Connected Conjunction + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "a" ) + ) + , TermVar + ( F + ( TermVar + ( F + ( TermVar + ( NamedVar "A" ) + ) + ) + ) + ) + ] + ) + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Command "in" ) + ) + ) + [ TermVar + ( B + ( NamedVar "b" ) + ) + , TermVar + ( F + ( TermVar + ( F + ( TermVar + ( NamedVar "B" ) + ) + ) + ) + ) + ] + ) + ) + ( TermSymbol + ( SymbolPredicate + ( PredicateRelation + ( Symbol "=" ) + ) + ) + [ TermSymbol + ( SymbolMixfix + [ Just + ( Command "pair" ) + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + , Just InvisibleBraceL + , Nothing + , Just InvisibleBraceR + ] + ) + [ TermVar + ( B + ( NamedVar "a" ) + ) + , TermVar + ( B + ( NamedVar "b" ) + ) + ] + , TermVar + ( F + ( TermVar + ( B + ( NamedVar "frv" ) + ) + ) + ) + ] + ) + ) + ) + ) + ) + ) + } +]
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