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Diffstat (limited to 'test/golden/union/generating tasks.golden')
| -rw-r--r-- | test/golden/union/generating tasks.golden | 2039 |
1 files changed, 0 insertions, 2039 deletions
diff --git a/test/golden/union/generating tasks.golden b/test/golden/union/generating tasks.golden deleted file mode 100644 index 06620f8..0000000 --- a/test/golden/union/generating tasks.golden +++ /dev/null @@ -1,2039 +0,0 @@ -[ Task - { taskDirectness = Direct - , taskHypotheses = - [ Hypothesis Marker "union_defn" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction ( PropositionalConstant IsTop ) ( PropositionalConstant IsTop ) ) - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 8 - , locColumn = 7 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 8 - , locColumn = 11 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( B - ( NamedVar "A" ) - ) - , TermVar - ( B - ( NamedVar "B" ) - ) - ] - ] - ) - ( Connected Disjunction - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 8 - , locColumn = 28 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "A" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 8 - , locColumn = 40 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "B" ) - ) - ] - ) - ) - ) - ) - ) - , Hypothesis Marker "ext" Quantified Universally - ( Scope - ( Connected Implication - ( Quantified Universally - ( Scope - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 2 - , locColumn = 35 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "A" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 2 - , locColumn = 48 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "B" ) - ) - ) - ) - ] - ) - ) - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 3 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "A" ) - ) - , TermVar - ( B - ( NamedVar "B" ) - ) - ] - ) - ) - ) - ] - , taskConjectureLabel = Marker "union_comm" - , taskLocation = Location - { locFile = "test/examples/union.tex" - , locLine = 11 - , locColumn = 1 - } - , taskConjecture = TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 12 - , locColumn = 16 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 12 - , locColumn = 6 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( NamedVar "A" ) - , TermVar - ( NamedVar "B" ) - ] - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 12 - , locColumn = 18 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( NamedVar "B" ) - , TermVar - ( NamedVar "A" ) - ] - ] - } -, Task - { taskDirectness = Direct - , taskHypotheses = - [ Hypothesis Marker "union_comm" Quantified Universally - ( Scope - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 12 - , locColumn = 16 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 12 - , locColumn = 6 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( B - ( NamedVar "A" ) - ) - , TermVar - ( B - ( NamedVar "B" ) - ) - ] - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 12 - , locColumn = 18 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( B - ( NamedVar "B" ) - ) - , TermVar - ( B - ( NamedVar "A" ) - ) - ] - ] - ) - ) - , Hypothesis Marker "union_defn" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction ( PropositionalConstant IsTop ) ( PropositionalConstant IsTop ) ) - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 8 - , locColumn = 7 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 8 - , locColumn = 11 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( B - ( NamedVar "A" ) - ) - , TermVar - ( B - ( NamedVar "B" ) - ) - ] - ] - ) - ( Connected Disjunction - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 8 - , locColumn = 28 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "A" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 8 - , locColumn = 40 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "B" ) - ) - ] - ) - ) - ) - ) - ) - , Hypothesis Marker "ext" Quantified Universally - ( Scope - ( Connected Implication - ( Quantified Universally - ( Scope - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 2 - , locColumn = 35 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "A" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 2 - , locColumn = 48 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "B" ) - ) - ) - ) - ] - ) - ) - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 3 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "A" ) - ) - , TermVar - ( B - ( NamedVar "B" ) - ) - ] - ) - ) - ) - ] - , taskConjectureLabel = Marker "union_assoc" - , taskLocation = Location - { locFile = "test/examples/union.tex" - , locLine = 19 - , locColumn = 5 - } - , taskConjecture = Quantified Universally - ( Scope - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 19 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 19 - , locColumn = 35 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 19 - , locColumn = 35 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( F - ( TermVar - ( NamedVar "A" ) - ) - ) - , TermVar - ( F - ( TermVar - ( NamedVar "B" ) - ) - ) - ] - , TermVar - ( F - ( TermVar - ( NamedVar "C" ) - ) - ) - ] - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 19 - , locColumn = 63 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 19 - , locColumn = 67 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( F - ( TermVar - ( NamedVar "A" ) - ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 19 - , locColumn = 76 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( F - ( TermVar - ( NamedVar "B" ) - ) - ) - , TermVar - ( F - ( TermVar - ( NamedVar "C" ) - ) - ) - ] - ] - ] - ) - ) - ) - } -, Task - { taskDirectness = Direct - , taskHypotheses = - [ Hypothesis Marker "union_comm" Quantified Universally - ( Scope - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 12 - , locColumn = 16 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 12 - , locColumn = 6 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( B - ( NamedVar "A" ) - ) - , TermVar - ( B - ( NamedVar "B" ) - ) - ] - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 12 - , locColumn = 18 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( B - ( NamedVar "B" ) - ) - , TermVar - ( B - ( NamedVar "A" ) - ) - ] - ] - ) - ) - , Hypothesis Marker "union_defn" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction ( PropositionalConstant IsTop ) ( PropositionalConstant IsTop ) ) - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 8 - , locColumn = 7 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 8 - , locColumn = 11 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( B - ( NamedVar "A" ) - ) - , TermVar - ( B - ( NamedVar "B" ) - ) - ] - ] - ) - ( Connected Disjunction - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 8 - , locColumn = 28 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "A" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 8 - , locColumn = 40 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "B" ) - ) - ] - ) - ) - ) - ) - ) - , Hypothesis Marker "ext" Quantified Universally - ( Scope - ( Connected Implication - ( Quantified Universally - ( Scope - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 2 - , locColumn = 35 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "A" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 2 - , locColumn = 48 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "B" ) - ) - ) - ) - ] - ) - ) - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 3 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "A" ) - ) - , TermVar - ( B - ( NamedVar "B" ) - ) - ] - ) - ) - ) - , Hypothesis Marker "_local_1" Quantified Universally - ( Scope - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 19 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 19 - , locColumn = 35 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 19 - , locColumn = 35 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( F - ( TermVar - ( NamedVar "A" ) - ) - ) - , TermVar - ( F - ( TermVar - ( NamedVar "B" ) - ) - ) - ] - , TermVar - ( F - ( TermVar - ( NamedVar "C" ) - ) - ) - ] - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 19 - , locColumn = 63 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 19 - , locColumn = 67 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( F - ( TermVar - ( NamedVar "A" ) - ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 19 - , locColumn = 76 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( F - ( TermVar - ( NamedVar "B" ) - ) - ) - , TermVar - ( F - ( TermVar - ( NamedVar "C" ) - ) - ) - ] - ] - ] - ) - ) - ) - ] - , taskConjectureLabel = Marker "union_assoc" - , taskLocation = Location - { locFile = "test/examples/union.tex" - , locLine = 20 - , locColumn = 5 - } - , taskConjecture = Quantified Universally - ( Scope - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 20 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 20 - , locColumn = 34 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( F - ( TermVar - ( NamedVar "A" ) - ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 20 - , locColumn = 43 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( F - ( TermVar - ( NamedVar "B" ) - ) - ) - , TermVar - ( F - ( TermVar - ( NamedVar "C" ) - ) - ) - ] - ] - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 20 - , locColumn = 63 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 20 - , locColumn = 68 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 20 - , locColumn = 68 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( F - ( TermVar - ( NamedVar "A" ) - ) - ) - , TermVar - ( F - ( TermVar - ( NamedVar "B" ) - ) - ) - ] - , TermVar - ( F - ( TermVar - ( NamedVar "C" ) - ) - ) - ] - ] - ) - ) - ) - } -, Task - { taskDirectness = Direct - , taskHypotheses = - [ Hypothesis Marker "union_comm" Quantified Universally - ( Scope - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 12 - , locColumn = 16 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 12 - , locColumn = 6 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( B - ( NamedVar "A" ) - ) - , TermVar - ( B - ( NamedVar "B" ) - ) - ] - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 12 - , locColumn = 18 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( B - ( NamedVar "B" ) - ) - , TermVar - ( B - ( NamedVar "A" ) - ) - ] - ] - ) - ) - , Hypothesis Marker "union_defn" Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction ( PropositionalConstant IsTop ) ( PropositionalConstant IsTop ) ) - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 8 - , locColumn = 7 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 8 - , locColumn = 11 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( B - ( NamedVar "A" ) - ) - , TermVar - ( B - ( NamedVar "B" ) - ) - ] - ] - ) - ( Connected Disjunction - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 8 - , locColumn = 28 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "A" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 8 - , locColumn = 40 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "B" ) - ) - ] - ) - ) - ) - ) - ) - , Hypothesis Marker "ext" Quantified Universally - ( Scope - ( Connected Implication - ( Quantified Universally - ( Scope - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 2 - , locColumn = 35 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "A" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 2 - , locColumn = 48 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "B" ) - ) - ) - ) - ] - ) - ) - ) - ) - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 3 - , locColumn = 13 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "A" ) - ) - , TermVar - ( B - ( NamedVar "B" ) - ) - ] - ) - ) - ) - , Hypothesis Marker "_local_2" Quantified Universally - ( Scope - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 20 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 20 - , locColumn = 34 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( F - ( TermVar - ( NamedVar "A" ) - ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 20 - , locColumn = 43 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( F - ( TermVar - ( NamedVar "B" ) - ) - ) - , TermVar - ( F - ( TermVar - ( NamedVar "C" ) - ) - ) - ] - ] - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 20 - , locColumn = 63 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 20 - , locColumn = 68 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 20 - , locColumn = 68 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( F - ( TermVar - ( NamedVar "A" ) - ) - ) - , TermVar - ( F - ( TermVar - ( NamedVar "B" ) - ) - ) - ] - , TermVar - ( F - ( TermVar - ( NamedVar "C" ) - ) - ) - ] - ] - ) - ) - ) - , Hypothesis Marker "_local_1" Quantified Universally - ( Scope - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 19 - , locColumn = 30 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 19 - , locColumn = 35 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 19 - , locColumn = 35 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( F - ( TermVar - ( NamedVar "A" ) - ) - ) - , TermVar - ( F - ( TermVar - ( NamedVar "B" ) - ) - ) - ] - , TermVar - ( F - ( TermVar - ( NamedVar "C" ) - ) - ) - ] - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 19 - , locColumn = 63 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 19 - , locColumn = 67 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( F - ( TermVar - ( NamedVar "A" ) - ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 19 - , locColumn = 76 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( F - ( TermVar - ( NamedVar "B" ) - ) - ) - , TermVar - ( F - ( TermVar - ( NamedVar "C" ) - ) - ) - ] - ] - ] - ) - ) - ) - ] - , taskConjectureLabel = Marker "union_assoc" - , taskLocation = Location - { locFile = "test/examples/union.tex" - , locLine = 21 - , locColumn = 1 - } - , taskConjecture = TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 16 - , locColumn = 26 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 16 - , locColumn = 7 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 16 - , locColumn = 7 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( NamedVar "A" ) - , TermVar - ( NamedVar "B" ) - ] - , TermVar - ( NamedVar "C" ) - ] - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 16 - , locColumn = 28 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( NamedVar "A" ) - , TermSymbol - ( Location - { locFile = "test/examples/union.tex" - , locLine = 16 - , locColumn = 37 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "union" ) ( HoleCons End ) - ) - ) - ( Marker "union" ) LeftAssoc - ) - ) - [ TermVar - ( NamedVar "B" ) - , TermVar - ( NamedVar "C" ) - ] - ] - ] - } -]
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