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Diffstat (limited to 'test/golden/replace/generating tasks.golden')
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diff --git a/test/golden/replace/generating tasks.golden b/test/golden/replace/generating tasks.golden deleted file mode 100644 index cedbc68..0000000 --- a/test/golden/replace/generating tasks.golden +++ /dev/null @@ -1,2241 +0,0 @@ -[ Task - { taskDirectness = Direct - , taskHypotheses = - [ Hypothesis Marker "unit" Quantified Universally - ( Scope - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "any" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 9 - , locColumn = 1 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "unit" ) End - ) - ( Marker "unit" ) NonAssoc - ) - ) [] - ] - ) - ( Connected Disjunction - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "any" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 10 - , locColumn = 14 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "emptyset" ) End - ) - ( Marker "emptyset" ) NonAssoc - ) - ) [] - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 9 - , locColumn = 1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "any" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 10 - , locColumn = 16 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "emptyset" ) End - ) - ( Marker "emptyset" ) NonAssoc - ) - ) [] - ] - ) - ) - ) - ) - , Hypothesis Marker "times" Quantified Universally - ( Scope - ( Quantified Universally - ( Scope - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "frv" ) - ) - , TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "times" ) ( HoleCons End ) - ) - ) - ( Marker "times" ) RightAssoc - ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "A" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "B" ) - ) - ) - ) - ] - ] - ) - ( Quantified Existentially - ( Scope - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( F - ( TermVar - ( F - ( TermVar - ( B - ( NamedVar "A" ) - ) - ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( F - ( TermVar - ( F - ( TermVar - ( B - ( NamedVar "B" ) - ) - ) - ) - ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 6 - , locColumn = 21 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "pair" ) - ( TokenCons InvisibleBraceL - ( HoleCons - ( TokenCons InvisibleBraceR - ( TokenCons InvisibleBraceL - ( HoleCons ( TokenCons InvisibleBraceR End ) ) - ) - ) - ) - ) - ) - ( Marker "pair" ) NonAssoc - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "frv" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "cons" Quantified Universally - ( Scope - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 2 - , locColumn = 7 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 2 - , locColumn = 11 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "cons" ) - ( TokenCons InvisibleBraceL - ( HoleCons - ( TokenCons InvisibleBraceR - ( TokenCons InvisibleBraceL - ( HoleCons ( TokenCons InvisibleBraceR End ) ) - ) - ) - ) - ) - ) - ( Marker "cons" ) NonAssoc - ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "X" ) - ) - ] - ] - ) - ( Connected Disjunction - ( TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 2 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "y" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 2 - , locColumn = 41 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "X" ) - ) - ] - ) - ) - ) - ) - ] - , taskConjectureLabel = Marker "pair_emptyset_in_times_unit" - , taskLocation = Location - { locFile = "test/examples/replace.tex" - , locLine = 13 - , locColumn = 1 - } - , taskConjecture = TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 14 - , locColumn = 27 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 14 - , locColumn = 6 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "pair" ) - ( TokenCons InvisibleBraceL - ( HoleCons - ( TokenCons InvisibleBraceR - ( TokenCons InvisibleBraceL - ( HoleCons ( TokenCons InvisibleBraceR End ) ) - ) - ) - ) - ) - ) - ( Marker "pair" ) NonAssoc - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 14 - , locColumn = 7 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "emptyset" ) End - ) - ( Marker "emptyset" ) NonAssoc - ) - ) [] - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 14 - , locColumn = 17 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "emptyset" ) End - ) - ( Marker "emptyset" ) NonAssoc - ) - ) [] - ] - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 14 - , locColumn = 31 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "times" ) ( HoleCons End ) - ) - ) - ( Marker "times" ) RightAssoc - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 14 - , locColumn = 31 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "unit" ) End - ) - ( Marker "unit" ) NonAssoc - ) - ) [] - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 14 - , locColumn = 42 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "unit" ) End - ) - ( Marker "unit" ) NonAssoc - ) - ) [] - ] - ] - } -, Task - { taskDirectness = Direct - , taskHypotheses = - [ Hypothesis Marker "pair_emptyset_in_times_unit" TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 14 - , locColumn = 27 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 14 - , locColumn = 6 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "pair" ) - ( TokenCons InvisibleBraceL - ( HoleCons - ( TokenCons InvisibleBraceR - ( TokenCons InvisibleBraceL - ( HoleCons ( TokenCons InvisibleBraceR End ) ) - ) - ) - ) - ) - ) - ( Marker "pair" ) NonAssoc - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 14 - , locColumn = 7 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "emptyset" ) End - ) - ( Marker "emptyset" ) NonAssoc - ) - ) [] - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 14 - , locColumn = 17 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "emptyset" ) End - ) - ( Marker "emptyset" ) NonAssoc - ) - ) [] - ] - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 14 - , locColumn = 31 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "times" ) ( HoleCons End ) - ) - ) - ( Marker "times" ) RightAssoc - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 14 - , locColumn = 31 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "unit" ) End - ) - ( Marker "unit" ) NonAssoc - ) - ) [] - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 14 - , locColumn = 42 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "unit" ) End - ) - ( Marker "unit" ) NonAssoc - ) - ) [] - ] - ] - , Hypothesis Marker "unit" Quantified Universally - ( Scope - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "any" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 9 - , locColumn = 1 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "unit" ) End - ) - ( Marker "unit" ) NonAssoc - ) - ) [] - ] - ) - ( Connected Disjunction - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "any" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 10 - , locColumn = 14 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "emptyset" ) End - ) - ( Marker "emptyset" ) NonAssoc - ) - ) [] - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 9 - , locColumn = 1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "any" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 10 - , locColumn = 16 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "emptyset" ) End - ) - ( Marker "emptyset" ) NonAssoc - ) - ) [] - ] - ) - ) - ) - ) - , Hypothesis Marker "times" Quantified Universally - ( Scope - ( Quantified Universally - ( Scope - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "frv" ) - ) - , TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "times" ) ( HoleCons End ) - ) - ) - ( Marker "times" ) RightAssoc - ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "A" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "B" ) - ) - ) - ) - ] - ] - ) - ( Quantified Existentially - ( Scope - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( F - ( TermVar - ( F - ( TermVar - ( B - ( NamedVar "A" ) - ) - ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( F - ( TermVar - ( F - ( TermVar - ( B - ( NamedVar "B" ) - ) - ) - ) - ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 6 - , locColumn = 21 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "pair" ) - ( TokenCons InvisibleBraceL - ( HoleCons - ( TokenCons InvisibleBraceR - ( TokenCons InvisibleBraceL - ( HoleCons ( TokenCons InvisibleBraceR End ) ) - ) - ) - ) - ) - ) - ( Marker "pair" ) NonAssoc - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "frv" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "cons" Quantified Universally - ( Scope - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 2 - , locColumn = 7 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 2 - , locColumn = 11 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "cons" ) - ( TokenCons InvisibleBraceL - ( HoleCons - ( TokenCons InvisibleBraceR - ( TokenCons InvisibleBraceL - ( HoleCons ( TokenCons InvisibleBraceR End ) ) - ) - ) - ) - ) - ) - ( Marker "cons" ) NonAssoc - ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "X" ) - ) - ] - ] - ) - ( Connected Disjunction - ( TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 2 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "y" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 2 - , locColumn = 41 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "X" ) - ) - ] - ) - ) - ) - ) - ] - , taskConjectureLabel = Marker "suc" - , taskLocation = Location - { locFile = "test/examples/replace.tex" - , locLine = 19 - , locColumn = 1 - } - , taskConjecture = Quantified Universally - ( Scope - ( Connected Implication - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( FreshVar 0 ) - ) - , TermVar - ( F - ( TermVar - ( NamedVar "a" ) - ) - ) - ] - ) - ( Quantified Universally - ( Scope - ( Connected Implication - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 20 - , locColumn = 44 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( FreshVar 1 ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 20 - , locColumn = 46 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "cons" ) - ( TokenCons InvisibleBraceL - ( HoleCons - ( TokenCons InvisibleBraceR - ( TokenCons InvisibleBraceL - ( HoleCons ( TokenCons InvisibleBraceR End ) ) - ) - ) - ) - ) - ) - ( Marker "cons" ) NonAssoc - ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( FreshVar 0 ) - ) - ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 20 - , locColumn = 46 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "emptyset" ) End - ) - ( Marker "emptyset" ) NonAssoc - ) - ) [] - ] - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 20 - , locColumn = 44 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( FreshVar 2 ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 20 - , locColumn = 46 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "cons" ) - ( TokenCons InvisibleBraceL - ( HoleCons - ( TokenCons InvisibleBraceR - ( TokenCons InvisibleBraceL - ( HoleCons ( TokenCons InvisibleBraceR End ) ) - ) - ) - ) - ) - ) - ( Marker "cons" ) NonAssoc - ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( FreshVar 0 ) - ) - ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 20 - , locColumn = 46 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "emptyset" ) End - ) - ( Marker "emptyset" ) NonAssoc - ) - ) [] - ] - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( FreshVar 1 ) - ) - , TermVar - ( B - ( FreshVar 2 ) - ) - ] - ) - ) - ) - ) - ) - ) - } -, Task - { taskDirectness = Direct - , taskHypotheses = - [ Hypothesis Marker "suc" Quantified Universally - ( Scope - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( FreshVar 1 ) - ) - , TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "suc" ) - ( TokenCons InvisibleBraceL - ( HoleCons ( TokenCons InvisibleBraceR End ) ) - ) - ) - ( Marker "suc" ) NonAssoc - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - ] - ] - ) - ( Quantified Existentially - ( Scope - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( FreshVar 0 ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "a" ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 20 - , locColumn = 44 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( FreshVar 1 ) - ) - ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 20 - , locColumn = 46 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "cons" ) - ( TokenCons InvisibleBraceL - ( HoleCons - ( TokenCons InvisibleBraceR - ( TokenCons InvisibleBraceL - ( HoleCons ( TokenCons InvisibleBraceR End ) ) - ) - ) - ) - ) - ) - ( Marker "cons" ) NonAssoc - ) - ) - [ TermVar - ( B - ( FreshVar 0 ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 20 - , locColumn = 46 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "emptyset" ) End - ) - ( Marker "emptyset" ) NonAssoc - ) - ) [] - ] - ] - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "pair_emptyset_in_times_unit" TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 14 - , locColumn = 27 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 14 - , locColumn = 6 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "pair" ) - ( TokenCons InvisibleBraceL - ( HoleCons - ( TokenCons InvisibleBraceR - ( TokenCons InvisibleBraceL - ( HoleCons ( TokenCons InvisibleBraceR End ) ) - ) - ) - ) - ) - ) - ( Marker "pair" ) NonAssoc - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 14 - , locColumn = 7 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "emptyset" ) End - ) - ( Marker "emptyset" ) NonAssoc - ) - ) [] - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 14 - , locColumn = 17 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "emptyset" ) End - ) - ( Marker "emptyset" ) NonAssoc - ) - ) [] - ] - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 14 - , locColumn = 31 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "times" ) ( HoleCons End ) - ) - ) - ( Marker "times" ) RightAssoc - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 14 - , locColumn = 31 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "unit" ) End - ) - ( Marker "unit" ) NonAssoc - ) - ) [] - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 14 - , locColumn = 42 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "unit" ) End - ) - ( Marker "unit" ) NonAssoc - ) - ) [] - ] - ] - , Hypothesis Marker "unit" Quantified Universally - ( Scope - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "any" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 9 - , locColumn = 1 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "unit" ) End - ) - ( Marker "unit" ) NonAssoc - ) - ) [] - ] - ) - ( Connected Disjunction - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "any" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 10 - , locColumn = 14 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "emptyset" ) End - ) - ( Marker "emptyset" ) NonAssoc - ) - ) [] - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 9 - , locColumn = 1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "any" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 10 - , locColumn = 16 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "emptyset" ) End - ) - ( Marker "emptyset" ) NonAssoc - ) - ) [] - ] - ) - ) - ) - ) - , Hypothesis Marker "times" Quantified Universally - ( Scope - ( Quantified Universally - ( Scope - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "frv" ) - ) - , TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "times" ) ( HoleCons End ) - ) - ) - ( Marker "times" ) RightAssoc - ) - ) - [ TermVar - ( F - ( TermVar - ( B - ( NamedVar "A" ) - ) - ) - ) - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "B" ) - ) - ) - ) - ] - ] - ) - ( Quantified Existentially - ( Scope - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( F - ( TermVar - ( F - ( TermVar - ( B - ( NamedVar "A" ) - ) - ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( F - ( TermVar - ( F - ( TermVar - ( B - ( NamedVar "B" ) - ) - ) - ) - ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 6 - , locColumn = 21 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "pair" ) - ( TokenCons InvisibleBraceL - ( HoleCons - ( TokenCons InvisibleBraceR - ( TokenCons InvisibleBraceL - ( HoleCons ( TokenCons InvisibleBraceR End ) ) - ) - ) - ) - ) - ) - ( Marker "pair" ) NonAssoc - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "frv" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - ) - ) - , Hypothesis Marker "cons" Quantified Universally - ( Scope - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 2 - , locColumn = 7 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 2 - , locColumn = 11 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "cons" ) - ( TokenCons InvisibleBraceL - ( HoleCons - ( TokenCons InvisibleBraceR - ( TokenCons InvisibleBraceL - ( HoleCons ( TokenCons InvisibleBraceR End ) ) - ) - ) - ) - ) - ) - ( Marker "cons" ) NonAssoc - ) - ) - [ TermVar - ( B - ( NamedVar "y" ) - ) - , TermVar - ( B - ( NamedVar "X" ) - ) - ] - ] - ) - ( Connected Disjunction - ( TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 2 - , locColumn = 31 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "y" ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 2 - , locColumn = 41 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "x" ) - ) - , TermVar - ( B - ( NamedVar "X" ) - ) - ] - ) - ) - ) - ) - ] - , taskConjectureLabel = Marker "times_replacement_test" - , taskLocation = Location - { locFile = "test/examples/replace.tex" - , locLine = 25 - , locColumn = 1 - } - , taskConjecture = Quantified Universally - ( Scope - ( Connected Equivalence - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "frv" ) - ) - , TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 26 - , locColumn = 6 - } - ) - ( SymbolMixfix - ( MixfixItem - ( HoleCons - ( TokenCons - ( Command "times" ) ( HoleCons End ) - ) - ) - ( Marker "times" ) RightAssoc - ) - ) - [ TermVar - ( F - ( TermVar - ( NamedVar "A" ) - ) - ) - , TermVar - ( F - ( TermVar - ( NamedVar "B" ) - ) - ) - ] - ] - ) - ( Quantified Existentially - ( Scope - ( Connected Conjunction - ( Connected Conjunction - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( F - ( TermVar - ( F - ( TermVar - ( NamedVar "A" ) - ) - ) - ) - ) - ] - ) - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Command "in" ) - ( ParameterArity 0 ) - ( Marker "elem" ) - ) - ) - ) - [ TermVar - ( B - ( NamedVar "b" ) - ) - , TermVar - ( F - ( TermVar - ( F - ( TermVar - ( NamedVar "B" ) - ) - ) - ) - ) - ] - ) - ) - ( TermSymbol - ( Location - { locFile = "<nowhere>" - , locLine = -1 - , locColumn = -1 - } - ) - ( SymbolPredicate - ( PredicateRelation - ( RelationSymbol - ( Symbol "=" ) - ( ParameterArity 0 ) - ( Marker "eq" ) - ) - ) - ) - [ TermSymbol - ( Location - { locFile = "test/examples/replace.tex" - , locLine = 26 - , locColumn = 21 - } - ) - ( SymbolMixfix - ( MixfixItem - ( TokenCons - ( Command "pair" ) - ( TokenCons InvisibleBraceL - ( HoleCons - ( TokenCons InvisibleBraceR - ( TokenCons InvisibleBraceL - ( HoleCons ( TokenCons InvisibleBraceR End ) ) - ) - ) - ) - ) - ) - ( Marker "pair" ) NonAssoc - ) - ) - [ TermVar - ( B - ( NamedVar "a" ) - ) - , TermVar - ( B - ( NamedVar "b" ) - ) - ] - , TermVar - ( F - ( TermVar - ( B - ( NamedVar "frv" ) - ) - ) - ) - ] - ) - ) - ) - ) - ) - ) - } -]
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