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-rw-r--r--test-suite/output/Naming.out83
1 files changed, 83 insertions, 0 deletions
diff --git a/test-suite/output/Naming.out b/test-suite/output/Naming.out
new file mode 100644
index 00000000..105940a4
--- /dev/null
+++ b/test-suite/output/Naming.out
@@ -0,0 +1,83 @@
+1 subgoal
+
+ x3 : nat
+ ============================
+ forall x x1 x4 x0 : nat,
+ (forall x2 x5 : nat, x2 + x1 = x4 + x5) -> x + x1 = x4 + x0
+1 subgoal
+
+ x3 : nat
+ x : nat
+ x1 : nat
+ x4 : nat
+ x0 : nat
+ H : forall x x3 : nat, x + x1 = x4 + x3
+ ============================
+ x + x1 = x4 + x0
+1 subgoal
+
+ x3 : nat
+ ============================
+ forall x x1 x4 x0 : nat,
+ (forall x2 x5 : nat, x2 + x1 = x4 + x5 -> foo (S x2 + x1)) ->
+ x + x1 = x4 + x0 -> foo (S x)
+1 subgoal
+
+ x3 : nat
+ ============================
+ forall x x1 x4 x0 : nat,
+ (forall x2 x5 : nat,
+ x2 + x1 = x4 + x5 ->
+ forall x6 x7 x8 S0 : nat, x6 + S0 = x7 + x8 + (S x2 + x1)) ->
+ x + x1 = x4 + x0 ->
+ forall x5 x6 x7 S : nat, x5 + S = x6 + x7 + Datatypes.S x
+1 subgoal
+
+ x3 : nat
+ x : nat
+ x1 : nat
+ x4 : nat
+ x0 : nat
+ ============================
+ (forall x2 x5 : nat,
+ x2 + x1 = x4 + x5 ->
+ forall x6 x7 x8 S0 : nat, x6 + S0 = x7 + x8 + (S x2 + x1)) ->
+ x + x1 = x4 + x0 ->
+ forall x5 x6 x7 S : nat, x5 + S = x6 + x7 + Datatypes.S x
+1 subgoal
+
+ x3 : nat
+ x : nat
+ x1 : nat
+ x4 : nat
+ x0 : nat
+ H : forall x x3 : nat,
+ x + x1 = x4 + x3 ->
+ forall x0 x4 x5 S0 : nat, x0 + S0 = x4 + x5 + (S x + x1)
+ H0 : x + x1 = x4 + x0
+ ============================
+ forall x5 x6 x7 S : nat, x5 + S = x6 + x7 + Datatypes.S x
+1 subgoal
+
+ x3 : nat
+ x : nat
+ x1 : nat
+ x4 : nat
+ x0 : nat
+ H : forall x x3 : nat,
+ x + x1 = x4 + x3 ->
+ forall x0 x4 x5 S0 : nat, x0 + S0 = x4 + x5 + (S x + x1)
+ H0 : x + x1 = x4 + x0
+ x5 : nat
+ x6 : nat
+ x7 : nat
+ S : nat
+ ============================
+ x5 + S = x6 + x7 + Datatypes.S x
+1 subgoal
+
+ x3 : nat
+ a : nat
+ H : a = 0 -> forall a : nat, a = 0
+ ============================
+ a = 0