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============================== Mace4 =================================
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Mace4 (32) version 2009-02A, February 2009.
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Process 20734 was started by mccune on cleo,
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Tue Mar 17 10:49:28 2009
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The command was "mace4 -f h1.in".
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============================== end of head ===========================
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============================== INPUT =================================
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% Reading from file h1.in
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% Conditional input omitted.
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% Conditional input included.
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assign(max_seconds,60).
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formulas(assumptions).
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x + (y + z) = (x + y) + z.
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x ; 1 = x & 1 ; x = x.
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x ; (y ; z) = (x ; y) ; z.
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x * 1 = x & 1 * x = x.
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x * (y * z) = (x * y) * z.
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(x + y) ; z = x ; z + y ; z.
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(x + y) * z = x * z + y * z.
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z ; (x + y) = z ; x + z ; y.
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z * (x + y) = z * x + z * y.
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(x * x1) ; (y * y1) <= (x1 ; y) * (x ; y1).
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z <= x & z <= y -> z <= x /\ y.
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x || y = (x ; y) /\ (y ; x).
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x !! y = (x /\ 1) ; y + x ; (y /\ 1).
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============================== end of input ==========================
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============================== PROCESS NON-CLAUSAL FORMULAS ==========
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% Formulas that are not ordinary clauses:
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1 x ; 1 = x & 1 ; x = x # label(non_clause). [assumption].
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2 x * 1 = x & 1 * x = x # label(non_clause). [assumption].
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3 x <= y <-> x + y = y # label(non_clause). [assumption].
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4 z <= x & z <= y -> z <= x /\ y # label(non_clause). [assumption].
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5 x !! y = y !! x # label(non_clause) # label(goal). [goal].
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============================== end of process non-clausal formulas ===
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============================== CLAUSES FOR SEARCH ====================
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formulas(mace4_clauses).
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x + (y + z) = (x + y) + z.
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x ; (y ; z) = (x ; y) ; z.
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x * (y * z) = (x * y) * z.
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(x + y) ; z = x ; z + y ; z.
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(x + y) * z = x * z + y * z.
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x ; (y + z) = x ; y + x ; z.
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x * (y + z) = x * y + x * z.
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-(x <= y) | x + y = y.
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(x * y) ; (z * u) <= (y ; z) * (x ; u).
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-(x <= y) | -(x <= z) | x <= y /\ z.
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x || y = (x ; y) /\ (y ; x).
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x !! y = (x /\ 1) ; y + x ; (y /\ 1).
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============================== end of clauses for search =============
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% The largest natural number in the input is 1.
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============================== DOMAIN SIZE 2 =========================
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============================== STATISTICS ============================
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Current CPU time: 0.00 seconds (total CPU time: 0.01 seconds).
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Ground clauses: seen=129, kept=58.
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Selections=3, assignments=6, propagations=28, current_models=0.
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Rewrite_terms=121, rewrite_bools=61, indexes=0.
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Rules_from_neg_clauses=6, cross_offs=6.
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============================== end of statistics =====================
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============================== DOMAIN SIZE 3 =========================
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============================== STATISTICS ============================
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Current CPU time: 0.00 seconds (total CPU time: 0.12 seconds).
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Ground clauses: seen=391, kept=251.
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Selections=2425, assignments=7275, propagations=14992, current_models=0.
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Rewrite_terms=458623, rewrite_bools=164648, indexes=14310.
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Rules_from_neg_clauses=4543, cross_offs=12388.
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============================== end of statistics =====================
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============================== DOMAIN SIZE 4 =========================
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============================== MODEL =================================
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interpretation( 4, [number=1, seconds=4], [
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============================== end of model ==========================
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============================== STATISTICS ============================
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Current CPU time: 0.00 seconds (total CPU time: 4.83 seconds).
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Ground clauses: seen=921, kept=696.
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Selections=36759, assignments=147005, propagations=665193, current_models=1.
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Rewrite_terms=18503894, rewrite_bools=6591134, indexes=1533814.
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Rules_from_neg_clauses=132667, cross_offs=660041.
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============================== end of statistics =====================
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User_CPU=4.83, System_CPU=0.01, Wall_clock=5.
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Exiting with 1 model.
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Process 20734 exit (max_models) Tue Mar 17 10:49:33 2009
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The process finished Tue Mar 17 10:49:33 2009